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TORRE DELLA CISTERNA s.r.I. Via della chimica, 61
85100 Potenza (Pz) Italy torre delta cisterna sn e-mail: torredellacistema@gmail.com
REGIONE BASILICATA - Comune di Melfi Torre della cisterna
[~~~~~~~~Pr_o_v_in_c_ia_d_i_P_o_te_n_z_a~~~~~~---J Oggetto Proposta di Variante del progetto definitivo autorizzato con DGR.n.635/2013 per la realizzazione di un impianto di produzione di energia elettrica da fonte eolica 7 Aerogeneratori
Committente TORRE DELLA CISTERNA s.r.I.
Via della chimica, 61 - 85100 Potenza (Pz) Italy
Legale Rappresentante
Tavola A.17.13.5
Progettazione
Ing. Domenico Colangelo
Titolo elaborato: Caratteristiche tecniche e dimensionali degli aerogeneratori
Progettisti Arch. Nadia Tirelli
~TEN PROJECT
via Alcide De Gasperi, 61 8201B San Giorgio del Sannio (BN) Part. IVA 01465940623
10\I -Azienda con gestione qualit~ Certificato N.50 100 TI873
Scala
00 MARZD 2014 AB/A~ AB/VI Varlante al progetto deflnltlvo
REV. DATA SiC)la firma sett ore sigla firma
DESCRIZIONE REDAZIONE CONTROLLO-EMISSIONE
Vestas Wind Systems A/S · Hedeager 44 · 8200 Aarhus N · Denmark · www.vestas.com
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Document no.: 0035-1209 V02
2013-04-05
General Specification V117–3.3 MW 50/60 Hz
VESTAS PROPRIETARY NOTICE: This document contains valuable confidential information of Vestas Wind Systems A/S. It is protected by copyright law as an unpublished work. Vestas reserves all patent, copyright, trade secret, and other proprietary rights to it. The information in this document may not be used, reproduced, or disclosed except if and to the extent rights are expressly granted by Vestas in writing and subject to applicable conditions. Vestas disclaims all warranties except as expressly granted by written agreement and is not responsible for unauthorized uses, for which it may pursue legal remedies against responsible parties.
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General Specification V117-3.3 MW
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Table of Contents
1 General Description ............................................................................................................. 5 2 Mechanical Design ............................................................................................................... 5 2.1 Rotor ...................................................................................................................................... 5 2.2 Blades .................................................................................................................................... 5 2.3 Blade Bearing ........................................................................................................................ 6 2.4 Pitch System .......................................................................................................................... 6 2.5 Hub ........................................................................................................................................ 7 2.6 Main Shaft ............................................................................................................................. 7 2.7 Main Bearing Housing ............................................................................................................ 7 2.8 Main Bearing .......................................................................................................................... 7 2.9 Gearbox ................................................................................................................................. 8 2.10 Generator Bearings ................................................................................................................ 8 2.11 High-Speed Shaft Coupling .................................................................................................... 8 2.12 Yaw System ........................................................................................................................... 8 2.13 Crane ..................................................................................................................................... 9 2.14 Towers ................................................................................................................................... 9 2.15 Nacelle Bedplate and Cover .................................................................................................. 9 2.16 Thermal Conditioning System .............................................................................................. 10 2.16.1 Generator and Converter Cooling ........................................................................................ 10 2.16.2 Gearbox and Hydraulic Cooling ........................................................................................... 10 2.16.3 Transformer Cooling ............................................................................................................ 10 2.16.4 Nacelle Cooling .................................................................................................................... 11 3 Electrical Design ................................................................................................................ 11 3.1 Generator ............................................................................................................................ 11 3.2 Converter ............................................................................................................................. 11 3.3 HV Transformer ................................................................................................................... 12 3.4 HV Cables ........................................................................................................................... 15 3.5 HV Switchgear ..................................................................................................................... 15 3.6 AUX System ........................................................................................................................ 15 3.7 Wind Sensors ...................................................................................................................... 16 3.8 Vestas Multi Processor (VMP) Controller ............................................................................. 16 3.9 Uninterruptible Power Supply (UPS) .................................................................................... 16 4 Turbine Protection Systems.............................................................................................. 17 4.1 Braking Concept .................................................................................................................. 17 4.2 Short Circuit Protections ...................................................................................................... 18 4.3 Overspeed Protection .......................................................................................................... 18 4.4 Lightning Protection of Blades, Nacelle, Hub and Tower ...................................................... 18 4.5 EMC System ........................................................................................................................ 19 4.6 Earthing ............................................................................................................................... 19 4.7 Corrosion Protection ............................................................................................................ 20 5 Safety .................................................................................................................................. 20 5.1 Access ................................................................................................................................. 20 5.2 Escape ................................................................................................................................. 20 5.3 Rooms/Working Areas ......................................................................................................... 20 5.4 Floors, Platforms, Standing and Working Places ................................................................. 20 5.5 Service Lift ........................................................................................................................... 21 5.6 Climbing Facilities ................................................................................................................ 21 5.7 Moving Parts, Guards and Blocking Devices ........................................................................ 21 5.8 Lights ................................................................................................................................... 21 5.9 Emergency Stop .................................................................................................................. 21 5.10 Power Disconnection ........................................................................................................... 21 5.11 Fire Protection/First Aid ....................................................................................................... 21
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General Specification V117-3.3 MW
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5.12 Warning Signs ..................................................................................................................... 22 5.13 Manuals and Warnings ........................................................................................................ 22 6 Environment ....................................................................................................................... 22 6.1 Chemicals ............................................................................................................................ 22 7 Approvals and Design Codes ........................................................................................... 22 7.1 Type Approvals .................................................................................................................... 22 7.2 Design Codes – Structural Design ....................................................................................... 23 8 Colours ............................................................................................................................... 24 8.1 Nacelle Colour ..................................................................................................................... 24 8.2 Tower Colour ....................................................................................................................... 24 8.3 Blades Colour ...................................................................................................................... 24 9 Operational Envelope and Performance Guidelines ....................................................... 24 9.1 Climate and Site Conditions ................................................................................................. 25 9.1.1 Complex Terrain .................................................................................................................. 25 9.1.2 Altitude ................................................................................................................................. 25 9.1.3 Wind Power Plant Layout ..................................................................................................... 25 9.2 Operational Envelope – Temperature and Wind .................................................................. 26 9.3 Operational Envelope – Grid Connection ............................................................................. 27 9.4 Operational Envelope – Reactive Power Capability ............................................................. 28 9.5 Performance – Fault Ride Through ...................................................................................... 28 9.6 Performance – Reactive Current Contribution ...................................................................... 29 9.6.1 Symmetrical Reactive Current Contribution.......................................................................... 29 9.6.2 Asymmetrical Reactive Current Contribution ........................................................................ 30 9.7 Performance – Multiple Voltage Dips ................................................................................... 30 9.8 Performance – Active and Reactive Power Control .............................................................. 30 9.9 Performance – Voltage Control ............................................................................................ 31 9.10 Performance – Frequency Control ....................................................................................... 31 9.11 Main Contributors to Own Consumption ............................................................................... 31 9.12 Operational Envelope – Conditions for Power Curve and Ct Values (at Hub Height) ........... 31 9.13 Noise Modes ........................................................................................................................ 32 10 Drawings ............................................................................................................................ 33 10.1 Structural Design – Illustration of Outer Dimensions ............................................................ 33 10.2 Structural Design – Side View Drawing ................................................................................ 34 11 General Reservations, Notes and Disclaimers ................................................................ 34 12 Appendices ........................................................................................................................ 36 12.1 Mode 0, “Optimised Power” ................................................................................................. 36 12.1.1 Power Curves, Noise Mode 0, “Optimised Power” ............................................................... 36 12.1.2 Ct Values, Noise Mode 0, “Optimised Power”....................................................................... 37 12.1.3 Noise Curves, Noise Mode 0, “Optimised Power” ................................................................ 38
Document no.: 0035-1209 V02
General Specification V117-3.3 MW
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Recipient acknowledges that (i) this General Specification is provided for recipient's information
only, and, does not create or constitute a warranty, guarantee, promise, commitment, or other
representation (Commitment) by Vestas Wind Systems or any of its affiliated or subsidiary
companies (Vestas), all of which are disclaimed by Vestas and (ii) any and all Commitments by
Vestas to recipient as to this general specification (or any of the contents herein) are to be
contained exclusively in signed written contracts between recipient and Vestas, and not within
this document.
See general reservations, notes and disclaimers (including, section 11, p. 35) to this general
specification
Document no.: 0035-1209 V02
General Specification V117-3.3 MW
General Description
Date: 2013-04-05
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1 General Description
The Vestas V117-3.3 MW wind turbine is a pitch regulated upwind turbine with
active yaw and a three-blade rotor. The Vestas V117-3.3 MW turbine has a rotor
diameter of 117 m and a rated output power of 3.3 MW. The turbine utilises the
OptiTip® concept and a power system based on a permanent magnet or induction
generator and full-scale converter. With these features, the wind turbine is able to
operate the rotor at variable speed and thereby maintaining the power output at
or near rated power even in high wind speed. At low wind speed, the OptiTip®
concept and the power system work together to maximise the power output by
operating at the optimal rotor speed and pitch angle.
2 Mechanical Design
2.1 Rotor
The V117-3.3 MW is equipped with a 117-meter rotor consisting of three blades
and a hub. The blades are controlled by the microprocessor pitch control system
OptiTip®. Based on the prevailing wind conditions, the blades are continuously
positioned to optimise the pitch angle.
Rotor
Diameter 117 m
Swept Area 10751 m2
Speed, Dynamic Operation Range 6.2-17.7
Rotational Direction Clockwise (front view)
Orientation Upwind
Tilt 6°
Blade Coning 4°
Number of Blades 3
Aerodynamic Brakes Full feathering
Table 2-1: Rotor data
2.2 Blades
The blades are made of carbon and fibreglass and consist of two airfoil shells
bonded to a supporting beam.
Blades
Type Description Airfoil shells bonded to supporting
beam
Blade Length 57.15 m
Material Fibreglass reinforced epoxy and
carbon fibres
Blade Connection Steel roots inserted
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Mechanical Design
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Blades
Airfoils High-lift profile
Maximum Chord 4.0 m
Table 2-2: Blades data
2.3 Blade Bearing
The blade bearings are double-row four-point contact ball bearings.
Blade Bearing
Lubrication Grease
Table 2-3: Blade bearing data
2.4 Pitch System
The turbine is equipped with a pitch system for each blade and a distributor
block, all located in the hub. Each pitch system is connected to the distributor
block with flexible hoses. The distributor block is connected to the pipes of the
hydraulic rotating transfer unit in the hub by means of three hoses (pressure line,
return line and drain line).
Each pitch system consists of a hydraulic cylinder mounted to the hub and a
piston rod mounted to the blade via a torque arm shaft. Valves facilitating
operation of the pitch cylinder are installed on a pitch block bolted directly onto
the cylinder.
Pitch System
Type Hydraulic
Number 1 per blade
Range -9° to 90°
Table 2-4: Pitch system data
Hydraulic System
Main Pump Two redundant internal-gear oil pumps
Pressure 260 bar
Filtration 3 µm (absolute)
Table 2-5: Hydraulic system data
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General Specification V117-3.3 MW
Mechanical Design
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2.5 Hub
The hub supports the three blades and transfers the reaction forces to the main
bearing and the torque to the gearbox. The hub structure also supports blade
bearings and pitch cylinder.
Hub
Type Cast ball shell hub
Material Cast iron
Table 2-6: Hub data
2.6 Main Shaft
The main shaft transfers the reaction forces to the main bearing and the torque to
the gearbox.
Main Shaft
Type Description Hollow shaft
Material Cast iron
Table 2-7: Main shaft data
2.7 Main Bearing Housing
The main bearing housing covers the main bearing and is the first connection
point for the drive train system to the bedplate.
Main Bearing Housing
Material Cast iron
Table 2-8: Main bearing housing data
2.8 Main Bearing
The main bearing carries all thrust loads.
Main Bearing
Type Double-row spherical roller bearing
Lubrication Automatic grease lubrication
Table 2-9: Main bearing data
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General Specification V117-3.3 MW
Mechanical Design
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2.9 Gearbox
The main gear converts the low-speed rotation of the rotor to high-speed
generator rotation.
The disc brake is mounted on the high-speed shaft. The gearbox lubrication
system is a pressure-fed system.
Gearbox
Type Planetary stages + one helical stage
Gear House Material Cast
Lubrication System Pressure oil lubrication
Backup Lubrication System Oil sump filled from external gravity tank
Total Gear Oil Volume 1000-1200
Oil Cleanliness Codes ISO 4406-/15/12
Shaft Seals Labyrinth
Table 2-10: Gearbox data
2.10 Generator Bearings
The bearings are grease lubricated and grease is supplied continuously from an
automatic lubrication unit.
2.11 High-Speed Shaft Coupling
The coupling transmits the torque of the gearbox high-speed output shaft to the
generator input shaft.
The coupling consists of two 4-link laminate packages and a fibreglass
intermediate tube with two metal flanges. The coupling is fitted to two-armed
hubs on the brake disc and the generator hub.
2.12 Yaw System
The yaw system is an active system based on a robust pre-tensioned plain yaw-
bearing concept with PETP as friction material.
The yaw gears have a torque limiter.
Yaw System
Type Plain bearing system
Material Forged yaw ring heat-treated.
Plain bearings PETP
Yawing Speed (50 Hz) 0.46°/sec.
Yawing Speed (60 Hz) 0.6°/sec.
Table 2-11: Yaw system data
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General Specification V117-3.3 MW
Mechanical Design
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Yaw Gear
Type Multiple stages geared
Ratio Total 944:1
Rotational Speed at Full Load 1.4 rpm at output shaft
Table 2-12: Yaw gear data
2.13 Crane
The nacelle houses the internal safe working load (SWL) service crane. The
crane is a single system hoist.
Crane
Lifting Capacity Maximum 800 kg
Table 2-13: Crane data
2.14 Towers
Tubular towers with flange connections, certified according to relevant type
approvals, are available in different standard heights. The towers are designed
with the majority of internal welded connections replaced by magnet supports to
create a predominantly smooth-walled tower. Magnets provide load support in a
horizontal direction and internals, such as platforms, ladders, etc., are supported
vertically (i.e. in the gravitational direction) by a mechanical connection. The
smooth tower design reduces the required steel thickness, rendering the tower
lighter compared to one with all internals welded to the tower shells.
The hub heights listed include a distance from the foundation section to the
ground level of approximately 0.2 m depending on the thickness of the bottom
flange and a distance from the tower top flange to the centre of the hub of 2.2 m.
Towers
Type Cylindrical/conical tubular
Hub Heights 91.5 m/116.5 m
Hub Heights (North America) 91.5 m
Material Steel
Table 2-14: Tower structure data
2.15 Nacelle Bedplate and Cover
The nacelle cover is made of fibreglass. Hatches are positioned in the floor for
lowering or hoisting equipment to the nacelle and evacuation of personnel. The
roof section is equipped with wind sensors and skylights. The skylights can be
opened from both inside the nacelle to access the roof and from outside to
access the nacelle. Access from the tower to the nacelle is through the yaw
system.
The nacelle bedplate is in two parts and consists of a cast iron front part and a
girder structure rear part. The front of the nacelle bedplate is the foundation for
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General Specification V117-3.3 MW
Mechanical Design
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the drive train and transmits forces from the rotor to the tower through the yaw
system. The bottom surface is machined and connected to the yaw bearing and
the yaw gears are bolted to the front nacelle bedplate.
The crane girders are attached to the top structure. The lower beams of the
girder structure are connected at the rear end. The rear part of the bedplate
serves as the foundation for controller panels, the cooling system and
transformer. The nacelle cover is mounted on the nacelle bedplate.
Type Description Material
Nacelle Cover GRP
Bedplate Front Cast iron
Bedplate Rear Girder structure
Table 2-15: Nacelle bedplate and cover data
2.16 Thermal Conditioning System
The thermal conditioning system consists of a few robust components:
The Vestas CoolerTop® located on top of the rear end of the nacelle. The
CoolerTop® is a free flow cooler, thus ensuring that there are no electrical
components in the thermal conditioning system located outside the
nacelle.
The Liquid Cooling System, which serves the gearbox,hydraulic systems,
generator and converter is driven by an electrical pumping system.
The transformer forced air cooling comprised of an electrical fan.
2.16.1 Generator and Converter Cooling
The generator and converter cooling systems operate in parallel. A dynamic flow
valve mounted in the generator cooling circuit divides the cooling liquid flow. The
cooling liquid removes heat from the generator and converter unit using a free-air
flow radiator placed on the top of the nacelle. In addition to the generator,
converter unit and radiator, the circulation system includes an electrical pump
and a three-way thermostatic valve.
2.16.2 Gearbox and Hydraulic Cooling
The gearbox and hydraulic cooling systems are coupled in parallel. A dynamic
flow valve mounted in the gearbox cooling circuit divides the cooling flow. The
cooling liquid removes heat from the gearbox and the hydraulic power unit
through heat exchangers and a free-air flow radiator placed on the top of the
nacelle. In addition to the heat exchangers and the radiator, the circulation
system includes an electrical pump and a three-way thermostatic valve.
2.16.3 Transformer Cooling
The transformer is equipped with forced-air cooling. The ventilator system
consists of a central fan, located below the service floor and an air duct leading
the air to locations beneath and between the high voltage and low voltage
windings of the transformer.
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General Specification V117-3.3 MW
Electrical Design
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2.16.4 Nacelle Cooling
Hot air generated by mechanical and electrical equipment is removed from the
nacelle by a fan system located in the nacelle.
3 Electrical Design
3.1 Generator
The generator is a three-phase synchronous generator with a permanent magnet
rotor or a three phase asynchronous induction generator with cage rotor that is
connected to the grid through a full scale converter.
The generator housing is built with a cylindrical jacket and channels. The
channels circulate cooling liquid around the generator internal stator housing.
Generator Alternative 1 Alternative 2
Type Synchronous with
permanent magnets
Asynchronous with cage
rotor
Frequency [fN] 0- 200 Hz 0-100 Hz
Voltage, Stator [UNS] 3 x 710 V (at rated speed) 3 x 750 V (at rated speed)
Number of Poles 12 4/6
Winding Type Form with VPI (Vacuum
Pressurized Impregnation)
Form with VPI (Vacuum
Pressurized Impregnation)
Winding Connection Star Star or Delta
Rated rpm 1450-1550 rpm 1450-1550 rpm
Overspeed Limit Acc.
to IEC (2 minutes)
2400 rpm 2400 rpm
Generator Bearing Hybrid/ceramic Hybrid/ceramic
Temperature
Sensors, Stator
3 PT100 sensors placed at
hot spots and 3 as back-up
3 PT100 sensors placed at
hot spots and 3 as back-up
Temperature
Sensors, Bearings
1 per bearing 1 per bearing
Insulation Class F or H F or H
Enclosure IP54 IP54
Table 3-1: Generator data
3.2 Converter
The converter is a full-scale converter system controlling both the generator and
the power quality delivered to the grid.
The converter consists of multiple converter units operating in parallel with a
common controller.
The converter controls conversion of variable frequency power from the
generator into fixed frequency AC power with desired active and reactive power
levels (and other grid connection parameters) suitable for the grid. The converter
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is located in the nacelle and has a grid side voltage rating of 650 V. The
generator side voltage rating is up to 710 V dependent on generator speed.
Converter
Rated Grid Voltage 650 V
Table 3-2: Converter data
3.3 HV Transformer
The step-up transformer is located in a separate locked room in the back of the
nacelle.
The transformer is a three-phase, two-winding, dry-type transformer that is self-
extinguishing. The windings are delta-connected on the high-voltage side unless
otherwise specified.
3.1 IEC 50Hz/60Hz version
For 50Hz regions the transformer is as default designed according to IEC
standards. However on special request, a 60Hz transformer based on IEC
standards could also be delivered.
Transformer
Type description Dry-type cast resin transformer.
Basic layout 3 phase, 2 winding transformer.
Applied standards IEC 60076-11, IEC 60076-16, Cenelec HD 637:S1.
Cooling method AF
Rated power 3750 kVA
Nominal voltage, turbine side
Um 1.1kV 0.650 kV
Nominal voltage, grid side
Um 12.0kV 10.0-11.0 kV
Um 24.0kV 11.1-22.0 kV
Um 36.0kV 22.1-33.0 kV
Um 41.5kV 33.1-35.0 kV
Insulation level AC / LI / LIC
Um 1.1kV 31 / - / - kV
Um 12.0kV 281 / 75 / 75 kV
Um 24.0kV 501 / 125 / 125 kV
Um 36.0kV 701 / 170 / 170 kV
Um 41.5kV 801 / 170 / 170 kV
Off-circuit tap changer ±2 x 2.5 %
Frequency 50 Hz / 60Hz
Vector group Dyn5 / YNyn0
No-load loss 2 5.3 kW
Load loss @ rated power HV, 120C 2 31.5 kW
No-load reactive power 3 16kVAr
Full load reactive power 3 330kVAr
Positive sequence short-circuit
impedance @ rated power, 120C 4
8.7 %
Positive sequence short-circuit 0.7 %
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resistance@ rated power, 120C3
Zero sequence short-circuit
impedance@ rated power, 120C3
8.7 %
Zero sequence short-circuit
resistance@ rated power, 120C3
0.7 %
Inrush peak current 3
Dyn5 6-9 x În
YNyn0 8-12 x În
Half crest time 3 ~ 0.7 s
Sound power level 80 dB(A)
Average temperature rise @ 1000m 80 K
Max altitude 5 2000 m
Insulation class 155 (F)
Environmental class E2
Climatic class C2
Fire behaviour class F1
Corrosion class C4
Weight 8500 kg
Temperature monitoring PT100 sensors in LV windings and core
Overvoltage protection Surge arresters on HV terminals
Temporary earthing 3 x Ø20mm earthing ball points
Table 3-3: Transformer data for IEC 50Hz/60Hzversion
1 @1000m. According to IEC 60076-11, AC test voltage is altitude dependent. 2 Based on an average of measured values during qualification tests across
voltages and manufacturers. 3 Based on an average of calculated values across voltages and manufacturers.
4 Subjected to standard IEC tolerances. 5 Max hub height altitude will depend on site location.
3.2 IEEE 60Hz version
For 60Hz regions the transformer is as default designed mainly according to
IEEE standards but on areas not covered by IEEE standards, the design is also
based on parts of the IEC standards.
Transformer
Type description Dry-type cast resin transformer.
Basic layout 3 phase, 2 winding transformer.
Applied standards UL 1562, CSA C22.2 No. 47, IEEE C57.12, IEC 60076-11, IEC 60076-16, Cenelec HD 637:S1.
Cooling method AFA
Rated power 3750 kVA
Nominal voltage, turbine side
NLL 1.2 kV 0.650 kV
Nominal voltage, grid side
NLL 15.0 kV 10.0-15.0 kV
NOTE
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NLL 25.0 kV 15.1-25.0 kV
NLL 34.5 kV 25.1-34.5 kV
Insulation level AC / LI & LIC
NLL 1.2 kV 41 / +10 kV
NLL 15.0 kV 341 / +95 kV
NLL 25.0 kV 501 / +125 kV
NLL 34.5 kV 701 / (+150 & -170) or +170 kV
Off-circuit tap changer ±2 x 2.5 %
Frequency 60 Hz
Vector group Dyn5 / YNyn0
No-load loss 2 5.3 kW
Load loss @ rated power HV, 120C 2 31.5 kW
No-load reactive power 3 16 kVAr
Full load reactive power 3 330 kVAr
Positive sequence short-circuit
impedance @ rated power, 120C 4
8.7 %
Positive sequence short-circuit
resistance @ rated power, 120C 3
0.7 %
Zero sequence short-circuit
impedance @ rated power, 120C 3
8.7 %
Zero sequence short-circuit
resistance @ rated power, 120C 3
0.7 %
Inrush peak current 3
Dyn5 6-9 x În
YNyn0 8-12 x În
Half crest time 3 ~ 0.7 s
Sound power level 80 dB(A)
Average temperature rise @ 1000m 80 K
Max altitude 5 2000 m
Insulation class 150C
Environmental class E2
Climatic class C2
Fire behaviour class F1
Corrosion class C4
Weight 8500 kg
Temperature monitoring PT100 sensors in LV windings and core
Overvoltage protection Surge arresters on HV terminals
Temporary earthing 3 x Ø20mm earthing ball points
Table 3-4: Transformer data for IEEE 60Hz version
1 @1000m. According to IEEE C57.12, AC test voltage is altitude dependent. 2 Based on an average of measured values during qualification tests across
voltages and manufacturers. 3 Based on an average of calculated values across voltages and manufacturers.
4 Subjected to standard IEEE C57.12 tolerances. 5 Max hub height altitude will depend on site location.
NOTE
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3.4 HV Cables
The high voltage cable runs from the transformer in the nacelle down the tower to
the switchgear located at the bottom of the tower. The high voltage cable is a
four-core, rubber-insulated, halogen-free, high voltage cable.
HV Cables
High Voltage Cable Insulation
Compound
Improved ethylene-propylene (EP) based
material-EPR or high modulus or hard
grade ethylene-propylene rubber-HEPR
Conductor Cross Section 3 x 70 / 70 mm2
Maximum Voltage 24 kV for 10-22 kV rated voltage
42 kV for 22.1-35 kV rated voltage
Table 3-5: HV cables data
3.5 HV Switchgear
The high voltage switchgear is located in the bottom of the tower.
HV Switchgear
Type Gas insulated SF6
Nominal Frequency 50/60 Hz
Nominal Rated Voltage 10–22 kV 22.1–33 kV 33.1–35 kV
Maximum Voltage 24 kV 36 kV 40.5 kV
Maximum Short Circuit
Current (1 second)
20 kA 25 kA 25 kA
Table 3-6: HV switchgear data
3.6 AUX System
The AUX system is supplied from a separate 650/400 V transformer located in
the nacelle. All motors, pumps, fans and heaters are supplied from this system.
All 230 V consumers are supplied from a 400/230 V transformer located in the
tower base.
Power Sockets
Single Phase (Nacelle and Tower
Platforms)
230 V (16 A)/110 V (16 A)/
2 x 55 V (16 A)
Three Phase (Nacelle and Tower
Base)
3 x 400 V (16 A)
Table 3-7: AUX system data
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3.7 Wind Sensors
The turbine is either equipped with two ultrasonic wind sensors or one ultrasonic
wind sensor and one mechanical wind vane and anemometer. The sensors have
built-in heaters to minimise interference from ice and snow. The wind sensors are
redundant, and the turbine is able to operate with one sensor only.
3.8 Vestas Multi Processor (VMP) Controller
The turbine is controlled and monitored by the VMP6000 control system.
VMP6000 is a multiprocessor control system comprised of four main processors
(ground, nacelle, hub and converter) interconnected by an optically based 2.5
Mbit ArcNet network.
In addition to the four main processors, the VMP6000 consists of a number of
distributed I/O modules interconnected by a 500 kbit CAN network.
I/O modules are connected to CAN interface modules by a serial digital bus,
CTBus.
The VMP6000 controller serves the following main functions:
Monitoring and supervision of overall operation.
Synchronizing of the generator to the grid during connection sequence.
Operating the wind turbine during various fault situations.
Automatic yawing of the nacelle.
OptiTip® - blade pitch control.
Reactive power control and variable speed operation.
Noise emission control.
Monitoring of ambient conditions.
Monitoring of the grid.
Monitoring of the smoke detection system.
3.9 Uninterruptible Power Supply (UPS)
The UPS is equipped with an AC/DC, DC/AC converter (double conversions) and
battery cells placed in the same cabinet as the converter. During grid outage, the
UPS will supply specific components with 230 V AC.
The backup time for the UPS system is proportional to the power consumption.
Actual backup time may vary.
UPS
Battery Type Valve-Regulated Lead Acid (VRLA)
Rated Battery
Voltage
2 x 8 x 12 V (192 V)
Converter
Type
Double conversion
Converter
Input
230 V +/-20%
Rated Output 230 Vac
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UPS
Voltage
Backup Time** Aviation
Lights
0 hr. 1 hr. 8 hrs. >8 hrs.
Co
ntr
ol S
yste
m*
15 min. 1 EXB 1 EXB 3 EXB 4 EXB (max. 630min.)
1 hr. 1 EXB 3 EXB 4 EXB N.A.
2 hrs. 2 EXB 3 EXB 4 EXB N.A.
3 hrs. 3 EXB 4 EXB N.A. N.A.
>3 hrs. 4 EXB
(max.
230min.)
N.A. N.A. N.A.
Re-charging
Time
80% Approximately 3 hours
100% Approximately 8 hours
Table 3-8: UPS data
N.A. = desired back-up time not possible
EXB = optional extra battery pack.
*The control system includes: the turbine controller (System 6000), switchgear
functions, and remote control system. Internal lights are fed by separate built-in
batteries in light armatures.
** For alternative backup times, consult Vestas.
4 Turbine Protection Systems
4.1 Braking Concept
The main brake on the turbine is aerodynamic. Braking the turbine is done by full
feathering the three blades (individually turning each blade). Each blade has a
hydraulic accumulator to supply power for turning the blade.
In addition, there is a mechanical disc brake on the high-speed shaft of the
gearbox with a dedicated hydraulic system. The mechanical brake is only used
as a parking brake and when activating the emergency stop push buttons.
NOTE
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4.2 Short Circuit Protections
Breakers Breaker for Aux.
Power.
T4L 250A TMD 4P
690 V
Breaker for
Converter Modules
T7M1200L PR332/P
LSIG 1000 A 3P
690 V
Breaking Capacity, Icu, Ics 70 kA@690 V 50 kA @690 V
Making Capacity, Icm 154 kA@690 V 105 kA @690 V
Table 4-1: Short circuit protection data
4.3 Overspeed Protection
The generator rpm and the main shaft rpm are registered by inductive sensors
and calculated by the wind turbine controller to protect against overspeed and
rotating errors.
In addition, the turbine is equipped with a safety PLC, an independent computer
module that measures the rotor rpm. In case of an overspeed situation, the safety
PLC activates the emergency feathered position (full feathering) of the three
blades independently of the turbine controller.
Overspeed Protection
Sensors Type Inductive
Trip Level 17.66 (rotor rpm)/2000 (generator RPM)
Table 4-3: Overspeed protection data
4.4 Lightning Protection of Blades, Nacelle, Hub and Tower
The Lightning Protection System (LPS) helps protect the wind turbine against the
physical damage caused by lightning strikes. The LPS consists of five main parts:
Lightning receptors.
Down conducting system (a system to conduct the lightning current down
through the wind turbine to help avoid or minimise damage to the LPS itself or
other parts of the wind turbine).
Protection against over-voltage and over-current.
Shielding against magnetic and electrical fields.
Earthing system.
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Lightning Protection Design Parameters Protection Level I
Current Peak Value imax [kA] 200
Impulse Charge Qimpulse [C] 100
Long Duration Charge Qlong [C] 200
Total Charge Qtotal [C] 300
Specific Energy W/R [MJ/] 10
Average Steepness di/dt [kA/s] 200
Table 4-4: Lightning protection design parameters
The Lightning Protection System is designed according to IEC standards (see 7
Approvals and Design Codes, p. 22).
4.5 EMC System
The turbine and related equipment fulfils the EU Electromagnetic Compatibility
(EMC) legislation:
DIRECTIVE 2004/108/EC OF THE EUROPEAN PARLIAMENT AND OF THE
COUNCIL of 15 December 2004 on the approximation of the laws of the
Member States relating to electromagnetic compatibility and repealing
Directive 89/336/EEC.
4.6 Earthing
The Vestas Earthing System consists of a number of individual earthing
electrodes interconnected as one joint earthing system.
The Vestas Earthing System includes the TN-system and the Lightning
Protection System for each wind turbine. It works as an earthing system for the
medium voltage distribution system within the wind farm.
The Vestas Earthing System is adapted for the different types of turbine
foundations. A separate set of documents describe the earthing system in detail,
depending on the type of foundation.
In terms of lightning protection of the wind turbine, Vestas has no separate
requirements for a certain minimum resistance to remote earth (measured in
ohms) for this system. The earthing for the lightning protection system is based
on the design and construction of the Vestas Earthing System.
A primary part of the Vestas Earthing System is the main earth bonding bar
placed where all cables enter the wind turbine. All earthing electrodes are
connected to this main earth bonding bar. Additionally, equipotential connections
are made to all cables entering or leaving the wind turbine.
Requirements in the Vestas Earthing System specifications and work
descriptions are minimum requirements from Vestas and IEC. Local and national
requirements, as well as project requirements, may require additional measures.
NOTE
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4.7 Corrosion Protection
Classification of corrosion protection is according to ISO 12944-2.
Corrosion Protection External Areas Internal Areas
Nacelle C5 C3
Hub C5 C3
Tower C4 C3
Table 4-5: Corrosion protection data for nacelle, hub and tower
5 Safety
The safety specifications in this section provide limited general information about
the safety features of the turbine and are not a substitute for Buyer and its agents
taking all appropriate safety precautions, including but not limited to (a) complying
with all applicable safety, operation, maintenance, and service agreements,
instructions, and requirements, (b) complying with all safety-related laws,
regulations, and ordinances, and (c) conducting all appropriate safety training
and education.
5.1 Access
Access to the turbine from the outside is through the bottom of the tower. The
door is equipped with a lock. Access to the top platform in the tower is by a
ladder or service lift. Access to the nacelle from the top platform is by ladder.
Access to the transformer room in the nacelle is controlled with a lock.
Unauthorised access to electrical switchboards and power panels in the turbine is
prohibited according to IEC 60204-1 2006.
5.2 Escape
In addition to the normal access routes, alternative escape routes from the
nacelle are through the crane hatch, from the spinner by opening the nose cone,
or from the roof of the nacelle. Rescue equipment is placed in the nacelle.
The hatch in the roof can be opened from both the inside and outside.
Escape from the service lift is by ladder.
An emergency response plan, placed in the turbine, describes evacuation and
escape routes.
5.3 Rooms/Working Areas
The tower and nacelle are equipped with power sockets for electrical tools for
service and maintenance of the turbine.
5.4 Floors, Platforms, Standing and Working Places
All floors have anti-slip surfaces.
There is one floor per tower section.
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Rest platforms are provided at intervals of 9 metres along the tower ladder
between platforms.
Foot supports are placed in the turbine for maintenance and service purposes.
5.5 Service Lift
The V117-3.3 MW turbine is delivered optionally with a service lift installed.
5.6 Climbing Facilities
A ladder with a fall arrest system (rigid rail) is mounted through the tower.
There are anchor points in the tower, nacelle and hub, and on the roof for
attaching fall arrest equipment (full body harness).
Over the crane hatch there is an anchor point for the emergency descent
equipment.
Anchor points are coloured yellow and are calculated and tested to 22.2 kN.
5.7 Moving Parts, Guards and Blocking Devices
All moving parts in the nacelle are shielded.
The turbine is equipped with a rotor lock to block the rotor and drive train.
Blocking the pitch of the cylinder can be done with mechanical tools in the hub.
5.8 Lights
The turbine is equipped with lights in the tower, nacelle, transformer room and
hub.
There is emergency light in case of the loss of electrical power.
5.9 Emergency Stop
There are emergency stop push buttons in the nacelle, hub and bottom of the
tower.
5.10 Power Disconnection
The turbine is equipped with breakers to allow for disconnection from all power
sources during inspection or maintenance. The switches are marked with signs
and are located in the nacelle and bottom of the tower.
5.11 Fire Protection/First Aid
A handheld 5-6 kg CO2 fire extinguisher, first aid kit and fire blanket are required
to be located in the nacelle during service and maintenance.
A handheld 5-6 kg CO2 fire extinguisher is required only during service and
maintenance activities, unless a permanently mounted fire extinguisher
located in the nacelle is mandatorily required by authorities.
First aid kits are required only during service and maintenance activities.
Fire blankets are required only during non-electrical hot work activities.
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5.12 Warning Signs
Warning signs placed inside or on the turbine must be reviewed before operating
or servicing the turbine.
5.13 Manuals and Warnings
The Vestas Corporate OH&S Manual and manuals for operation, maintenance
and service of the turbine provide additional safety rules and information for
operating, servicing or maintaining the turbine.
6 Environment
6.1 Chemicals
Chemicals used in the turbine are evaluated according to the Vestas Wind
Systems A/S Environmental System certified according to ISO 14001:2004. The
following chemicals are used in the turbine:
Anti-freeze to help prevent the cooling system from freezing.
Gear oil for lubricating the gearbox.
Hydraulic oil to pitch the blades and operate the brake.
Grease to lubricate bearings.
Various cleaning agents and chemicals for maintenance of the turbine.
7 Approvals and Design Codes
7.1 Type Approvals
The standard turbine is type certified according to the certification standards
listed below:
Certification Wind Class Hub Height
IEC61400-22 IEC IIA 91.5 m / 116.5 m
DIBt Anlage 2.7/10 DIBt III 91.5 m
DIBt Anlage 2.7/10 DIBt II 116.5 m
Table 7-1: Type approvals data
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7.2 Design Codes – Structural Design
The turbine design has been developed and tested with regard to, but not limited
to, the following main standards:
Design Codes
Nacelle and Hub IEC 61400-1 Edition 3
EN 50308
Tower IEC 61400-1 Edition 3
Eurocode 3
Blades
DNV-OS-J102
IEC 1024-1
IEC 60721-2-4
IEC 61400 (Part 1, 12 and 23)
IEC WT 01 IEC
DEFU R25
ISO 2813
DS/EN ISO 12944-2
Gearbox ISO 81400-4
Generator IEC 60034
Transformer IEC 60076-11, IEC 60076-16, CENELEC
HD637 S1
Lightning Protection
IEC 62305-1: 2006
IEC 62305-3: 2006
IEC 62305-4: 2006
IEC/TR 61400-24:2002
Rotating Electrical Machines IEC 34
Safety of Machinery, Safety-
related Parts of Control Systems IEC 13849-1
Safety of Machinery – Electrical
Equipment of Machines IEC 60204-1
Table 7-2: Design codes
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8 Colours
8.1 Nacelle Colour
Colour of Vestas Nacelles
Standard Nacelle Colour RAL 7035 (light grey)
Standard Logo Vestas
Table 8-1: Colour, nacelle
8.2 Tower Colour
Colour of Vestas Tower Section
External: Internal:
Standard Tower Colour RAL 7035 (light grey) RAL 9001 (cream white)
Table 8-2: Colour, tower
8.3 Blades Colour
Blades Colour
Standard Blade Colour RAL 7035 (light grey)
Tip-End Colour Variants RAL 2009 (traffic orange), RAL 3020
(traffic red)
Gloss < 30% DS/EN ISO 2813
Table 8-3: Colour, blades
9 Operational Envelope and Performance Guidelines
Actual climate and site conditions have many variables and should be considered
in evaluating actual turbine performance. The design and operating parameters
set forth in this section do not constitute warranties, guarantees, or
representations as to turbine performance at actual sites.
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9.1 Climate and Site Conditions
Values refer to hub height:
Extreme Design Parameters
Wind Climate IEC IIA
Ambient Temperature Interval (Standard Temperature
Turbine) -40° to +50°C
Extreme Wind Speed (10 Minute Average) 42.5 m/s
Survival Wind Speed (3 Second Gust) 59.5 m/s
Table 9-1: Extreme design parameters
Average Design Parameters
Wind Climate IEC IIA
Nominal Power 3.3 MW
Wind Speed 8.5 m/s
A-Factor 9.59 m/s
Form Factor, c 2.0
Turbulence Intensity According to IEC 61400-1,
Including Wind Farm Turbulence (@15 m/s – 90%
quartile)
18%
Wind Shear 0.20
Inflow Angle (vertical) 8°
Table 9-2: Average design parameters
9.1.1 Complex Terrain
Classification of complex terrain according to IEC 61400-1:2005 Chapter 11.2.
For sites classified as complex, appropriate measures are to be included in site
assessment.
Positioning of each turbine must be verified via the Vestas Site Check
programme.
9.1.2 Altitude
The turbine is designed for use at altitudes up to 1000 m above sea level as
standard and optional up to 2000 m above sea level.
9.1.3 Wind Power Plant Layout
Turbine spacing is to be evaluated site-specifically. Spacing, in any case, must
not be below three rotor diameters (3D).
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As evaluation of climate and site conditions is complex, consult Vestas for every
project. If conditions exceed the above parameters, Vestas must be consulted.
9.2 Operational Envelope – Temperature and Wind
Values refer to hub height and are determined by the sensors and control system
of the turbine.
Operational Envelope – Temperature and Wind
Ambient Temperature Interval
(Standard Turbine)
-20° to +45°C
Ambient Temperature Interval (Low
Temperature Turbine)
-30° to +45°C
Cut-In 3 m/s
Cut-Out (10 Minute Exponential
Average)
25 m/s
Re-Cut In (10 Minute Exponential
Average)
23 m/s
Table 9-3: Operational envelope – temperature and wind
At ambient temperatures above +30°C, the turbine will maintain derated
production, within the component capacity as seen in figure 9-1, p. 26.
The wind turbine will stop producing power at ambient temperatures above 45°C.
For the Low temperature options of the wind turbine, consult ‘Vestas’.
Figure 9-1: Derated Operation.
NOTE
NOTE
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9.3 Operational Envelope – Grid Connection
Operational Envelope – Grid Connection
Nominal Phase Voltage [UNP] 650 V
Nominal Frequency [fN] 50/60 Hz
Maximum Steady State Voltage Jump ±2% (from turbine)
±4% (from grid)
Maximum Frequency Gradient ±4 Hz/sec.
Maximum Negative Sequence Voltage 3% (connection) 2% (operation)
Minimum Required Short Circuit Ratio
at Turbine HV Connection 5.0
Maximum Short Circuit Current
Contribution
1.05 p.u. (continuous)
1.45 p.u. (peak)
Table 9-4: Operational envelope – grid connection
The generator and the converter will be disconnected if*:
Protection Settings
Voltage Above 110% of Nominal for 3600 Seconds 715 V
Voltage Above 121% of Nominal for 2 Seconds 787 V
Voltage Above 136% of Nominal for 0.150 Seconds 884 V
Voltage Below 90% of Nominal for 60 Seconds 585 V
Voltage Below 80% of Nominal for 10 Seconds 520 V
Frequency is Above 106% of Nominal for 0.2 Seconds 53/63.6 Hz
Frequency is Below 94% of Nominal for 0.2 Seconds 47/56.4 Hz
Table 9-5: Generator and converter disconnecting values
* Over the turbine lifetime, grid drop-outs are to occur at an average of no more
than 50 times a year.
NOTE
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9.4 Operational Envelope – Reactive Power Capability
The turbine has a reactive power capability as illustrated:
-2500
-2000
-1500
-1000
-500
0
500
1000
1500
2000
2500
0 500 1000 1500 2000 2500 3000
P [kW]
Q [
kV
ar]
cos (φ) = 0,933
cos (φ) = 0,863
Figure 9-2: Reactive power capability.
The above chart applies at the low voltage side of the HV transformer at nominal
voltage ±10% and nominal frequency ±6%.
Reactive power capability at full load on high voltage side of the HV transformer
is approx: cosφ = 0.90/0.90 capacitive/inductive.
Reactive power is produced by the full-scale converter. Traditional capacitors are,
therefore, not used in the turbine.
The turbine is able to maintain the reactive power capability at low wind with no
active power production.
9.5 Performance – Fault Ride Through
The turbine is equipped with a full-scale converter to gain better control of the
wind turbine during grid faults. The turbine control system continues to run during
grid faults.
The turbine is designed to stay connected during grid disturbances within the
voltage tolerance curve as illustrated:
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Voltage FRT-profile (WTG)
0,00; 1,10
0,00; 0,90
10,00; 0,80
10,00; 0,90
2,60; 0,80
0,45; 0,00
0,00; 0,00
0,0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1,0
1,1
1,2
-0,5 0,0 0,5 1,0 1,5 2,0 2,5 3,0 3,5 4,0 4,5 5,0 5,5 6,0 6,5 7,0 7,5 8,0 8,5 9,0 9,5 10,0 10,5 11,0
Time (s)
U (
pu
)
Figure 9-3: Low voltage tolerance curve for symmetrical and asymmetrical faults,
where U represents voltage as measured on the grid
For grid disturbances outside the protection curve in Figure 9-, p. 29 the turbine
will be disconnected from the grid.
Power Recovery Time
Power Recovery to 90% of Pre-Fault Level Maximum 0.1 seconds
Table 9-6: Power recovery time
9.6 Performance – Reactive Current Contribution
The reactive current contribution depends on whether the fault applied to the
turbine is symmetrical or asymmetrical.
9.6.1 Symmetrical Reactive Current Contribution
During symmetrical voltage dips, the wind farm will inject reactive current to
support the grid voltage. The reactive current injected is a function of the
measured grid voltage.
The default value gives a reactive current part of 1 pu of the rated active current
at the high voltage side of the HV transformer. Figure 9-, p. 30 indicates the
reactive current contribution as a function of the voltage. The reactive current
contribution is independent from the actual wind conditions and pre-fault power
level.
As seen in Figure 9-, p. 30, the default current injection slope is 2% reactive
current increase per 1% voltage decrease. The slope can be parameterized
between 0 and 10 to adapt to site specific requirements.
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Figure 9-4: Reactive current injection
9.6.2 Asymmetrical Reactive Current Contribution
The injected current is based on the measured positive sequence voltage and the
used K-factor. During asymmetrical voltage dips, the reactive current injection is
limited to approximate 0.4 pu to limit the potential voltage increase on the healthy
phases.
9.7 Performance – Multiple Voltage Dips
The turbine is designed to handle re-closure events and multiple voltage dips
within a short period of time due to the fact that voltage dips are not evenly
distributed during the year. For example, the turbine is designed to handle 10
voltage dips of duration of 200 ms, down to 20% voltage, within 30 minutes.
9.8 Performance – Active and Reactive Power Control
The turbine is designed for control of active and reactive power via the
VestasOnline® SCADA system.
Maximum Ramp Rates for External Control
Active Power 0.1 pu/sec (330 kW/sec)
Reactive Power 20 pu/sec (66 MVAr/sec)
Table 9-7: Active/reactive power ramp rates
To support grid stability the turbine is capable to stay connected to the grid at
active power references down to 10 % of nominal power for the turbine. For
active power references below 10 % the turbine may disconnect from the grid.
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9.9 Performance – Voltage Control
The turbine is designed for integration with VestasOnline® voltage control by
utilising the turbine reactive power capability.
9.10 Performance – Frequency Control
The turbine can be configured to perform frequency control by decreasing the
output power as a linear function of the grid frequency (over frequency).
Dead band and slope for the frequency control function are configurable.
9.11 Main Contributors to Own Consumption
The consumption of electrical power by the wind turbine is defined as the power
used by the wind turbine when it is not providing energy to the grid. This is
defined in the control system as Production Generator 0 (zero).The following
components have the largest influence on the own consumption of the wind
turbine (the average own consumption depends on the actual conditions, the
climate, the wind turbine output, the cut-off hours, etc.):
Main contributors to Own Consumption
Hydraulic Motor 2 x 15 kW (master/slave)
Yaw Motors Maximum 18 kW in total
Water Heating 10 kW
Water Pumps 2.2 + 5.5 kW
Oil Heating 7.9 kW
Oil Pump for Gearbox Lubrication 10 kW
Controller Including Heating
Elements for the Hydraulics and all
Controllers
Approximately 3 kW
HV Transformer No-load Loss See section 3.3 HV Transformer, p. 12
Table 9-8: Main contributors to own consumption data
9.12 Operational Envelope – Conditions for Power Curve and Ct Values (at Hub Height)
Consult section 12 Appendices for power curves and Ct values.
Conditions for Power Curve and Ct Values (at Hub Height)
Wind Shear 0.00-0.30 (10 minute average)
Turbulence Intensity 6-12% (10 minute average)
Blades Clean
Rain No
Ice/Snow on Blades No
Leading Edge No damage
Terrain IEC 61400-12-1
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Conditions for Power Curve and Ct Values (at Hub Height)
Inflow Angle (Vertical) 0 ±2°
Grid Frequency Nominal Frequency ±0.5 Hz
Table 9-9: Conditions for power curve and Ct values
9.13 Noise Modes
The noise modes listed in Table 9-10, p. 32 below are available for the V117-3.3
MW turbine.
Available Noise Modes for V117-3.3 MW
Mode No. Mode Name Maximum Noise Level
0 Optimised Power 107.0 dB
2 Max. 106.5 dB 106.5 dB
3 Max. 104.5 dB 104.5 dB
4 Max. 102.5 dB 102.5 dB
5 Max. 101.0 dB 101.0 dB
Table 9-10: Available noise modes
The noise modes are available for the hub heights listed in table tower structure
data in section 2.14 Towers, p. 9.
For further details on Noise Modes, see section 12 Appendices, p37, or contact
Vestas Wind Systems A/S.
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10 Drawings
10.1 Structural Design – Illustration of Outer Dimensions
Figure 10-1: Illustration of outer dimensions – structure
1 Hub height 91.5/116.5 m 2 Diameter: 117 m
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10.2 Structural Design – Side View Drawing
Figure 10-2: Side-view drawing
11 General Reservations, Notes and Disclaimers
© 2013 Vestas Wind Systems A/S. This document is created by Vestas Wind
Systems A/S and/or its affiliates and contains copyrighted material,
trademarks, and other proprietary information. All rights reserved. No part of
the document may be reproduced or copied in any form or by any means –
such as graphic, electronic, or mechanical, including photocopying, taping, or
information storage and retrieval systems – without the prior written
permission of Vestas Wind Systems A/S. The use of this document is
prohibited unless specifically permitted by Vestas Wind Systems A/S.
Trademarks, copyright or other notices may not be altered or removed from
the document.
The general specifications described in this document apply to the current
version of the V117-3.3 MW wind turbine. Updated versions of the V117-3.3
MW wind turbine, which may be manufactured in the future, may differ from
these general specifications. In the event that Vestas supplies an updated
version of the V117-3.3 MW wind turbine, Vestas will provide an updated
general specification applicable to the updated version.
Vestas recommends that the grid be as close to nominal as possible with
limited variation in frequency and voltage.
A certain time allowance for turbine warm-up must be expected following grid
dropout and/or periods of very low ambient temperature.
All listed start/stop parameters (e. g. wind speeds and temperatures) are
equipped with hysteresis control. This can, in certain borderline situations,
result in turbine stops even though the ambient conditions are within the listed
operation parameters.
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The earthing system must comply with the minimum requirements from
Vestas, and be in accordance with local and national requirements and codes
of standards.
This document, General Specification, is not an offer for sale, and does not
contain any guarantee, warranty and/or verification of the power curve and
noise (including, without limitation, the power curve and noise verification
method). Any guarantee, warranty and/or verification of the power curve and
noise (including, without limitation, the power curve and noise verification
method) must be agreed to separately in writing.
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Appendices
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12 Appendices
12.1 Mode 0, “Optimised Power”
12.1.1 Power Curves, Noise Mode 0, “Optimised Power”
Air density [kg/m3]
Wind
speed
[m/s] 1.225 0.95 0.975 1.0 1.025 1.05 1.075 1.1 1.125 1.15 1.175 1.2 1.25 1.275
3.0 29 13 15 16 17 19 20 22 23 25 26 28 31 32
3.5 81 52 54 57 60 62 65 67 70 73 76 78 84 86
4.0 146 102 106 110 114 118 122 126 130 134 138 142 150 154
4.5 226 165 171 176 182 187 193 198 204 210 215 221 232 237
5.0 327 243 251 258 266 274 281 289 297 304 312 320 335 343
5.5 452 339 349 359 370 380 390 400 411 421 431 441 462 472
6.0 600 454 467 480 494 507 520 533 547 560 573 587 613 627
6.5 775 589 606 623 640 657 674 691 708 725 742 758 792 809
7.0 981 748 769 791 812 833 854 875 896 917 939 960 1002 1023
7.5 1216 931 957 983 1009 1035 1061 1087 1113 1139 1164 1190 1242 1268
8.0 1483 1139 1171 1202 1234 1265 1296 1327 1359 1390 1421 1452 1514 1545
8.5 1780 1372 1410 1447 1484 1522 1559 1596 1633 1670 1707 1743 1817 1853
9.0 2103 1627 1670 1714 1758 1801 1845 1888 1931 1974 2017 2060 2145 2188
9.5 2437 1895 1945 1995 2045 2095 2144 2194 2243 2292 2341 2389 2484 2530
10.0 2753 2165 2221 2277 2334 2390 2444 2498 2552 2606 2654 2703 2797 2841
10.5 2999 2424 2484 2545 2606 2666 2719 2771 2824 2876 2917 2958 3032 3065
11.0 3159 2663 2722 2781 2841 2900 2943 2986 3030 3073 3101 3130 3179 3200
11.5 3241 2872 2922 2973 3023 3074 3103 3133 3163 3192 3209 3225 3251 3260
12.0 3276 3037 3073 3109 3146 3183 3200 3217 3235 3253 3260 3268 3280 3284
12.5 3290 3148 3172 3195 3219 3243 3252 3261 3270 3279 3283 3286 3292 3295
13.0 3297 3216 3230 3244 3258 3272 3277 3281 3286 3291 3293 3295 3298 3299
13.5 3300 3255 3265 3274 3283 3293 3295 3296 3298 3300 3300 3300 3300 3300
14.0 3300 3280 3284 3289 3293 3298 3298 3299 3299 3300 3300 3300 3300 3300
14.5 3300 3291 3293 3295 3297 3299 3299 3300 3300 3300 3300 3300 3300 3300
15.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
15.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
16.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
16.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
17.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
17.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
18.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
18.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
19.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
19.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
20.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
20.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
21.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
21.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
22.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
22.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
23.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
23.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
24.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
24.5 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
25.0 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
Table 12-1: Power curve, noise mode 0
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12.1.2 Ct Values, Noise Mode 0, “Optimised Power”
Air density kg/m3
Wind
speed
[m/s] 1.225 0.950 0.975 1.0 1.025 1.05 1.075 1.1 1.125 1.15 1.175 1.2 1.25 1.275
3.0 0.851 0.854 0.854 0.853 0.853 0.853 0.853 0.852 0.852 0.852 0.852 0.851 0.851 0.850
3.5 0.816 0.819 0.818 0.818 0.818 0.818 0.818 0.817 0.817 0.817 0.817 0.817 0.816 0.816
4.0 0.792 0.794 0.794 0.794 0.793 0.793 0.793 0.793 0.793 0.793 0.792 0.792 0.792 0.792
4.5 0.783 0.786 0.785 0.785 0.785 0.785 0.785 0.784 0.784 0.784 0.784 0.783 0.783 0.783
5.0 0.779 0.782 0.782 0.782 0.781 0.781 0.781 0.780 0.780 0.780 0.780 0.780 0.779 0.779
5.5 0.774 0.778 0.777 0.777 0.777 0.777 0.776 0.776 0.776 0.775 0.775 0.774 0.774 0.773
6.0 0.770 0.775 0.775 0.774 0.774 0.773 0.773 0.772 0.772 0.772 0.771 0.771 0.770 0.769
6.5 0.766 0.772 0.771 0.771 0.770 0.770 0.769 0.769 0.768 0.767 0.767 0.766 0.765 0.765
7.0 0.763 0.770 0.769 0.769 0.768 0.767 0.767 0.766 0.765 0.765 0.764 0.763 0.762 0.761
7.5 0.757 0.766 0.765 0.764 0.764 0.763 0.762 0.761 0.761 0.760 0.759 0.758 0.757 0.756
8.0 0.751 0.761 0.760 0.759 0.758 0.758 0.757 0.756 0.755 0.754 0.753 0.752 0.750 0.749
8.5 0.742 0.753 0.752 0.751 0.750 0.749 0.748 0.747 0.746 0.745 0.744 0.743 0.741 0.739
9.0 0.727 0.738 0.737 0.736 0.735 0.734 0.733 0.732 0.731 0.730 0.729 0.728 0.725 0.724
9.5 0.701 0.715 0.714 0.713 0.712 0.711 0.709 0.708 0.707 0.706 0.704 0.702 0.699 0.697
10.0 0.659 0.681 0.680 0.679 0.678 0.676 0.674 0.673 0.671 0.669 0.666 0.662 0.654 0.650
10.5 0.598 0.638 0.637 0.635 0.633 0.632 0.628 0.624 0.621 0.617 0.611 0.604 0.591 0.583
11.0 0.528 0.592 0.589 0.586 0.583 0.580 0.573 0.567 0.560 0.554 0.545 0.537 0.519 0.510
11.5 0.457 0.543 0.537 0.532 0.526 0.521 0.512 0.503 0.495 0.486 0.477 0.467 0.448 0.438
12.0 0.395 0.492 0.484 0.476 0.468 0.460 0.451 0.441 0.432 0.423 0.413 0.404 0.386 0.377
12.5 0.343 0.440 0.431 0.422 0.413 0.404 0.395 0.386 0.377 0.367 0.359 0.351 0.335 0.328
13.0 0.300 0.391 0.382 0.373 0.364 0.354 0.346 0.338 0.330 0.321 0.314 0.307 0.293 0.287
13.5 0.264 0.347 0.339 0.330 0.322 0.314 0.306 0.298 0.291 0.283 0.277 0.271 0.259 0.253
14.0 0.235 0.309 0.301 0.293 0.285 0.277 0.271 0.264 0.258 0.251 0.246 0.240 0.230 0.225
14.5 0.210 0.275 0.268 0.261 0.254 0.247 0.241 0.236 0.230 0.224 0.219 0.215 0.206 0.201
15.0 0.188 0.244 0.238 0.232 0.226 0.220 0.215 0.210 0.205 0.200 0.196 0.192 0.184 0.180
15.5 0.169 0.220 0.214 0.209 0.203 0.198 0.194 0.189 0.185 0.180 0.177 0.173 0.166 0.163
16.0 0.154 0.199 0.194 0.189 0.184 0.179 0.175 0.171 0.167 0.164 0.160 0.157 0.151 0.148
16.5 0.140 0.180 0.176 0.172 0.167 0.163 0.159 0.156 0.152 0.149 0.146 0.143 0.137 0.135
17.0 0.128 0.164 0.160 0.157 0.153 0.149 0.145 0.142 0.139 0.136 0.133 0.131 0.125 0.123
17.5 0.117 0.151 0.147 0.143 0.140 0.136 0.133 0.130 0.128 0.125 0.122 0.120 0.115 0.113
18.0 0.108 0.138 0.135 0.132 0.128 0.125 0.123 0.120 0.117 0.115 0.112 0.110 0.106 0.104
18.5 0.100 0.127 0.124 0.121 0.118 0.115 0.113 0.111 0.108 0.106 0.104 0.102 0.098 0.096
19.0 0.093 0.118 0.116 0.113 0.110 0.107 0.105 0.103 0.101 0.098 0.097 0.095 0.091 0.089
19.5 0.086 0.109 0.107 0.104 0.102 0.099 0.097 0.095 0.093 0.091 0.090 0.088 0.085 0.083
20.0 0.080 0.102 0.099 0.097 0.095 0.092 0.090 0.089 0.087 0.085 0.083 0.082 0.079 0.077
20.5 0.075 0.094 0.092 0.090 0.088 0.086 0.084 0.083 0.081 0.079 0.078 0.076 0.073 0.072
21.0 0.070 0.088 0.086 0.084 0.082 0.080 0.079 0.077 0.075 0.074 0.072 0.071 0.068 0.067
21.5 0.065 0.082 0.080 0.079 0.077 0.075 0.073 0.072 0.070 0.069 0.068 0.066 0.064 0.063
22.0 0.061 0.077 0.075 0.074 0.072 0.070 0.069 0.067 0.066 0.065 0.063 0.062 0.060 0.059
22.5 0.057 0.072 0.071 0.069 0.067 0.066 0.065 0.063 0.062 0.061 0.060 0.058 0.056 0.055
23.0 0.054 0.068 0.066 0.065 0.063 0.062 0.060 0.059 0.058 0.057 0.056 0.055 0.053 0.052
23.5 0.051 0.064 0.062 0.061 0.059 0.058 0.057 0.056 0.055 0.054 0.053 0.052 0.050 0.049
24.0 0.048 0.060 0.059 0.057 0.056 0.055 0.054 0.053 0.052 0.051 0.050 0.049 0.047 0.046
24.5 0.045 0.056 0.055 0.054 0.053 0.052 0.051 0.050 0.049 0.048 0.047 0.046 0.045 0.044
25.0 0.043 0.053 0.052 0.051 0.050 0.049 0.048 0.047 0.046 0.045 0.044 0.044 0.042 0.041
Table 12-2: Ct values, noise mode 0
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Appendices
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12.1.3 Noise Curves, Noise Mode 0, “Optimised Power”
Sound Power Level at Hub Height, Noise Mode 0
Conditions for Sound Power Level: Measurement standard IEC 61400-11 ed. 2 2002
Wind shear: 0.16
Maximum turbulence at 10 metre height: 16%
Inflow angle (vertical): 0 ±2°
Air density: 1.225 kg/m3
Hub Height 91.5 m 116.5 m
LwA @ 3 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
94.9
4.3
95.2
4.5
LwA @ 4 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
97.9
5.7
98.4
6.0
LwA @ 5 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
101.6
7.1
102.3
7.5
LwA @ 6 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
104.8
8.6
105.4
9.0
LwA @ 7 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
106.5
10.0
106.6
10.5
LwA @ 8 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
107.0
11.4
107.0
12.0
LwA @ 9 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
107.0
12.8
107.0
13.5
LwA @ 10 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
107.0
14.3
107.0
15.0
LwA @ 11 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
107.0
15.7
107.0
16.5
LwA @ 12 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
107.0
17.1
107.0
18.0
LwA @ 13 m/s (10 m above ground) [dBA]
Wind speed at hub height [m/s]
107.0
18.5
107.0
19.5
Table 12-3: Noise curves, noise mode 0
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CLASS T05
DOCUMENT:
0037-4072 VER 02 DESCRIPTION:
Foundation loads
Foundation loads V126-3.0/3.3 MW, Mk2, IEC3B, 117 m
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Version History
VERSION: DATE: CHANGE:
00 2013.03.25 New document 02 2013.07.31 Document also valid for 3.0MW power rating.
Table of Contents
CHAPTER: DESCRIPTION: PAGE:
1. Introduction 3 2. Extreme loads 4 3. Serviceability loads 6 4. Fatigue loads 6 5. Stiffness of foundation 7 Appendix A. Co-ordinate systems 8 Appendix B. Rain flow count 9 Appendix C. Markov matrices 10
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1. Introduction
This document presents the foundation loads from the V126-3.0/3.3 MW HH 117, IEC3B load spectrum. The loads are simulated in accordance with IEC61400-1 Edition 3, ref. [1]. Additional tower & foundation interface requirements can be found in ref [3] and the tower used for calculating the loads can be found in ref [2].
Reference Description Doc No.
[1] IEC61400-1 Edition 3
[2] Tower file 0037-2278.V00
[3] Additional Tower & Foundation Interface Requirements 0001-3891.V01
Table 1-1 Reference to documents.
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2. Extreme loads
Foundation loads components at the instant of extreme resulting bending moment are given in beneath table. Own weight moment contribution due to tower out of vertical (0.008 m/m) is included with PLF 1.10 in below resultant moments. Loads are given at height: 0.20m Extreme resulting tower bottom moment according to ref [1] incl. own weight moment contribution due to 8mm/m tower out of vertical and second order effects. *unfavorable loads: PLF = 1.1, favorable loads: PLF = 0.9.
Mbt1: Resulting bending moment. SQRT(Mxt1^2 + Myt1^2) (also Mres)
FndFr: Resulting shear force. SQRT(Fxt1^2 + Fyt1^2) (also Fres)
Characteristic Extreme
Lead LC/Family PLF Type Mbt1 Mzt1 FndFr Fzt1
Sensor [-] [-] [-] [kNm] [kNm] [kN] [kN]
Mbt1 23CoEogVrp8(fam90) 1.10 Abs 107900 -521.1 919.3 -4968
Mzt1 21RPY18Vob00(fam45) 1.35 Abs 26570 -5810 203.2 -4933
FndFr 23CoEogVrp8(fam90) 1.10 Abs 107900 -513.9 919.4 -4968
Fzt1 81P60015a06000(fam188) 1.50 Abs 14030 506.4 136.4 -5077
Table 2 Characteristic Extreme (excl. PLF). Load cases sorted with PLF.
Characteristic Extreme
Lead LC/Family PLF Type Mbt1 Mzt1 FndFr Fzt1
Sensor [-] [-] [-] [kNm] [kNm] [kN] [kN]
Mbt1 23CoEogVrp8(fam90) 1.10 Abs 107900 -521.1 919.3 -4968
Mzt1 22REY18Voa00(fam61) 1.10 Abs 23890 -6842 209.1 -4907
FndFr 23CoEogVrp8(fam90) 1.10 Abs 107900 -513.9 919.4 -4968
Fzt1 71Id2bV145b00(fam165) 1.10 Abs 27130 2414 275.4 -5204
Table 3 Characteristic Extreme (excl. PLF). Load cases sorted without PLF.
Characteristic Extreme
Lead LC/Family PLF Type Mbt1 Mzt1 FndFr Fzt1
Sensor [-] [-] [-] [kNm] [kNm] [kN] [kN]
Mbt1 23CoEogVrp8(fam90) 1.10 Abs 107900 -521.1 919.3 -4968
Mzt1 22REY18Voa00(fam61) 1.10 Abs 23890 -6842 209.1 -4907
FndFr 23CoEogVrp8(fam90) 1.10 Abs 107900 -513.9 919.4 -4968
Fzt1 71Id2bV145b00(fam165) 1.10 Abs 27130 2414 275.4 -5204
Table 4 Characteristic Extreme (excl. PLF). Only load cases with PLF = 1.10.
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Characteristic Extreme
Lead LC/Family PLF Type Mbt1 Mzt1 FndFr Fzt1
Sensor [-] [-] [-] [kNm] [kNm] [kN] [kN]
Mbt1 32PREogVrm11(fam105) 1.35 Abs 85450 -165.1 702.2 -5034
Mzt1 21RPY18Vob00(fam45) 1.35 Abs 26570 -5810 203.2 -4933
FndFr 1314etm00(fam31) 1.35 Abs 68080 -907.9 713.5 -5015
Fzt1 12IcVo00(fam23) 1.35 Abs 35120 1462 334.3 -5135
Table 5 Characteristic Extreme (excl. PLF). Only load cases with PLF = 1.35.
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3. Serviceability loads
The serviceability loads are calculated as the 99% fraction of the load level during normal production.
Characteristic Extreme Serviceability Loads
Mres [kNm] 66540.17
Mz [kNm] -2261.50
Fres [kN] 547.47
Fz [kN] -5070.73
Table 6 Quantile Ldd loads for Mres, Mz, Fres and Fz. PLF is not included.
4. Fatigue loads
For the foundation, the mean loads have to be considered. The mean loads must be combined with either the equivalent loads or the fatigue load spectrum. Loads are given at height: 0.20m The equivalent loads given may be used only if the material property can be characterized by an S/N-curve with the same slope as given for the equivalent loads.
Equivalent and Mean Fatigue Foundation Loads
Mean load Range m = 4 Range m = 7
Fy [kN] 256.32 422.40 390.61
Mx [kNm] -31099.24 26989.11 30816.23
Mz [kNm] -190.32 4902.76 4823.74
Table 7 Fatigue loads for N=1E7 cycles.
Ref. [3] contains a description of how to combine ranges and mean values.
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
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5. Stiffness of foundation
The nominal spring stiffness used for the load calculations is 120 GNm/rad resulting in a nominal tower frequency of 0.177 Hz. The spring stiffness of the foundation must be at least
C,dyn ≥ 30 GNm/rad for the loads to be valid. The minimum lateral stiffness of the foundations is given in Table 5.1 as a function of the rotational stiffness.
Minimum Lateral Stiffness
Rotational
stiffness [GNm/rad] 30.0 36.0 56.0 87.0 134.0 208.0 322.0 441.0 500.0
Lateral
stiffness [MN/m] 1250.0 16.9 6.0 6.0 6.0 6.0 6.0 6.0 6.0
Table 5.1 Minimum lateral stiffness.
The natural frequency of the tower must be within the frequency interval [0.168; 0.186 Hz]
CLASS T05
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DESCRIPTION:
Foundation loads
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Appendix A. Co-ordinate systems
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
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Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Appendix B. Rain flow count This appendix contains the rain flow spectrum for the shear force, the bending moment and the torsional moment in the bottom of the tower.
Foundation Fatigue Load Spectrum
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Range Frequency Range Frequency Range Frequency
1.1030E+03 1.5667E+01 1.1513E+05 1.2250E+01 1.1779E+04 1.2500E+00
1.0588E+03 1.7458E+01 1.1053E+05 1.3958E+01 1.1308E+04 1.2500E+00
1.0147E+03 2.4417E+01 1.0592E+05 1.9179E+02 1.0837E+04 1.2500E+00
9.7060E+02 1.1804E+02 1.0132E+05 7.9375E+01 1.0366E+04 0.0000E+00
9.2648E+02 1.3113E+02 9.6711E+04 5.9292E+01 9.8946E+03 2.5000E+00
8.8237E+02 9.2125E+01 9.2106E+04 2.9625E+01 9.4234E+03 1.4997E+02
8.3825E+02 5.6084E+01 8.7501E+04 4.4042E+01 8.9523E+03 1.4432E+03
7.9413E+02 2.6565E+02 8.2896E+04 1.2988E+02 8.4811E+03 2.2751E+03
7.5001E+02 6.7054E+02 7.8290E+04 1.7125E+02 8.0099E+03 1.2008E+04
7.0589E+02 1.8631E+03 7.3685E+04 2.1342E+02 7.5387E+03 3.4056E+04
6.6177E+02 4.2359E+03 6.9080E+04 4.0308E+02 7.0676E+03 1.1989E+05
6.1766E+02 2.6146E+04 6.4474E+04 1.6592E+02 6.5964E+03 1.6349E+05
5.7354E+02 8.2065E+04 5.9869E+04 1.5536E+02 6.1252E+03 2.9239E+05
5.2942E+02 1.3827E+05 5.5264E+04 1.4377E+03 5.6541E+03 4.2469E+05
4.8530E+02 3.9040E+05 5.0658E+04 4.5667E+04 5.1829E+03 8.2540E+05
4.4118E+02 7.1742E+05 4.6053E+04 1.1955E+05 4.7117E+03 1.0179E+06
3.9706E+02 1.3631E+06 4.1448E+04 2.8102E+05 4.2405E+03 1.6416E+06
3.5295E+02 2.7243E+06 3.6842E+04 4.9518E+05 3.7694E+03 2.8433E+06
3.0883E+02 5.2908E+06 3.2237E+04 7.5377E+05 3.2982E+03 5.3318E+06
2.6471E+02 1.0359E+07 2.7632E+04 1.5737E+06 2.8270E+03 1.0885E+07
2.2059E+02 2.1570E+07 2.3027E+04 2.8240E+06 2.3559E+03 2.1150E+07
1.7647E+02 4.6788E+07 1.8421E+04 4.8444E+06 1.8847E+03 4.3191E+07
1.3235E+02 9.2411E+07 1.3816E+04 9.2570E+06 1.4135E+03 7.1351E+07
8.8237E+01 1.7829E+08 9.2106E+03 4.6836E+07 9.4234E+02 9.5902E+07
4.4118E+01 3.3092E+08 4.6053E+03 3.7945E+08 4.7117E+02 1.4851E+08
Table 8 Rainflow counting spectra.
CLASS T05
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0037-4072 VER 02
DESCRIPTION:
Foundation loads
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Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Appendix C. Markov matrices This appendix contains the Markov Matrices for the shear force, the bending moment and the torsional moment in the bottom of the tower.
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
6.0060E+02 2.2059E+01 1.5924E+04 4.3820E+04 2.3027E+03 3.5000E+00 3.4861E+03 2.3559E+02 9.8386E+02
5.7658E+02 1.1030E+02 1.2100E+04 4.3820E+04 0.0000E+00 3.5000E+00 3.1989E+03 0.0000E+00 1.9677E+03
5.7658E+02 8.8237E+01 1.2100E+04 4.1358E+04 2.3027E+03 7.0000E+00 2.9116E+03 0.0000E+00 7.6438E+02
5.7658E+02 6.6177E+01 2.8024E+04 4.1358E+04 0.0000E+00 3.5000E+00 2.6244E+03 2.1203E+03 4.9193E+02
5.7658E+02 4.4118E+01 2.8028E+04 3.8896E+04 2.3027E+03 1.6050E+02 2.6244E+03 1.1779E+03 7.9025E+03
5.7658E+02 2.2059E+01 6.5847E+04 3.8896E+04 0.0000E+00 3.5000E+00 2.6244E+03 4.7117E+02 4.4921E+03
5.7658E+02 0.0000E+00 6.0043E+04 3.6435E+04 4.6053E+03 7.0000E+00 2.6244E+03 2.3559E+02 7.8266E+03
5.5256E+02 2.2059E+02 7.9025E+03 3.6435E+04 2.3027E+03 1.0500E+01 2.6244E+03 0.0000E+00 3.3205E+04
5.5256E+02 1.7647E+02 1.5805E+04 3.6435E+04 0.0000E+00 1.7500E+01 2.3371E+03 2.3559E+03 9.8386E+02
5.5256E+02 1.5441E+02 2.0008E+04 3.3973E+04 4.6053E+03 1.3917E+01 2.3371E+03 1.4135E+03 7.9025E+03
5.5256E+02 1.3235E+02 3.5937E+04 3.3973E+04 2.3027E+03 7.0000E+00 2.3371E+03 1.1779E+03 7.9025E+03
5.5256E+02 1.1030E+02 4.8474E+04 3.3973E+04 0.0000E+00 1.0500E+01 2.3371E+03 9.4234E+02 3.8219E+02
5.5256E+02 8.8237E+01 1.6877E+05 3.1511E+04 9.2106E+03 3.5000E+00 2.3371E+03 4.7117E+02 1.0635E+04
5.5256E+02 6.6177E+01 1.5318E+05 3.1511E+04 6.9080E+03 6.0000E+00 2.3371E+03 2.3559E+02 7.2284E+03
5.5256E+02 4.4118E+01 1.8055E+05 3.1511E+04 4.6053E+03 7.8500E+01 2.3371E+03 0.0000E+00 5.9096E+04
5.5256E+02 2.2059E+01 1.8958E+05 3.1511E+04 2.3027E+03 3.1500E+01 2.0498E+03 2.5914E+03 1.0951E+03
5.5256E+02 0.0000E+00 1.5235E+05 3.1511E+04 0.0000E+00 3.8417E+01 2.0498E+03 1.6491E+03 7.9025E+03
5.2854E+02 3.3089E+02 1.7500E+00 2.9049E+04 4.6053E+03 7.0000E+00 2.0498E+03 1.4135E+03 1.8433E+04
5.2854E+02 3.0883E+02 4.4921E+03 2.9049E+04 2.3027E+03 2.7000E+01 2.0498E+03 1.1779E+03 1.1122E+02
5.2854E+02 2.8677E+02 7.9025E+03 2.9049E+04 0.0000E+00 1.9092E+02 2.0498E+03 9.4234E+02 4.4788E+03
5.2854E+02 2.6471E+02 7.9025E+03 2.6588E+04 6.9080E+03 2.5000E+00 2.0498E+03 7.0676E+02 3.2983E+04
5.2854E+02 2.4265E+02 1.5936E+04 2.6588E+04 4.6053E+03 7.0000E+00 2.0498E+03 4.7117E+02 3.2268E+03
5.2854E+02 2.2059E+02 6.4992E+04 2.6588E+04 2.3027E+03 1.2000E+01 2.0498E+03 2.3559E+02 1.0452E+05
5.2854E+02 1.9853E+02 5.6308E+04 2.6588E+04 0.0000E+00 8.2333E+01 2.0498E+03 0.0000E+00 2.1573E+05
5.2854E+02 1.7647E+02 1.7699E+05 2.4126E+04 6.9080E+03 3.5000E+00 1.7626E+03 3.5338E+03 1.2500E+01
5.2854E+02 1.5441E+02 3.8637E+05 2.4126E+04 4.6053E+03 2.0917E+01 1.7626E+03 3.0626E+03 5.9110E+01
5.2854E+02 1.3235E+02 4.9373E+05 2.4126E+04 2.3027E+03 1.0900E+02 1.7626E+03 2.8270E+03 7.9025E+03
5.2854E+02 1.1030E+02 6.2165E+05 2.4126E+04 0.0000E+00 1.1342E+02 1.7626E+03 2.5914E+03 1.0528E+04
5.2854E+02 8.8237E+01 9.0553E+05 2.1664E+04 5.0658E+04 1.7500E+00 1.7626E+03 2.3559E+03 2.3499E+03
5.2854E+02 6.6177E+01 9.7823E+05 2.1664E+04 6.9080E+03 7.0000E+00 1.7626E+03 2.1203E+03 7.2305E+03
5.2854E+02 4.4118E+01 7.2508E+05 2.1664E+04 4.6053E+03 2.0000E+01 1.7626E+03 1.8847E+03 3.4608E+04
5.2854E+02 2.2059E+01 5.9646E+05 2.1664E+04 2.3027E+03 1.1850E+02 1.7626E+03 1.6491E+03 4.0535E+04
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
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Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
5.2854E+02 0.0000E+00 6.2363E+05 2.1664E+04 0.0000E+00 6.8611E+03 1.7626E+03 1.4135E+03 8.4163E+04
5.0452E+02 3.3089E+02 6.0552E+03 1.9202E+04 5.7566E+04 1.7500E+00 1.7626E+03 1.1779E+03 7.7154E+03
5.0452E+02 3.0883E+02 1.2100E+04 1.9202E+04 5.2961E+04 3.5000E+00 1.7626E+03 9.4234E+02 4.4010E+04
5.0452E+02 2.8677E+02 3.2118E+04 1.9202E+04 5.0658E+04 1.7500E+00 1.7626E+03 7.0676E+02 1.1101E+05
5.0452E+02 2.6471E+02 5.6320E+04 1.9202E+04 4.8356E+04 3.5000E+00 1.7626E+03 4.7117E+02 1.0313E+05
5.0452E+02 2.4265E+02 1.1484E+05 1.9202E+04 6.9080E+03 9.5000E+00 1.7626E+03 2.3559E+02 1.9666E+05
5.0452E+02 2.2059E+02 3.1376E+05 1.9202E+04 4.6053E+03 1.6500E+01 1.7626E+03 0.0000E+00 5.2377E+05
5.0452E+02 1.9853E+02 4.5126E+05 1.9202E+04 2.3027E+03 8.7417E+01 1.4753E+03 6.3608E+03 8.1665E+01
5.0452E+02 1.7647E+02 9.2596E+05 1.9202E+04 0.0000E+00 2.8550E+02 1.4753E+03 3.5338E+03 1.5885E+03
5.0452E+02 1.5441E+02 1.3018E+06 1.6740E+04 6.6777E+04 1.7500E+00 1.4753E+03 3.2982E+03 2.5000E+00
5.0452E+02 1.3235E+02 1.8108E+06 1.6740E+04 6.4474E+04 1.7500E+00 1.4753E+03 3.0626E+03 1.2104E+04
5.0452E+02 1.1030E+02 2.3520E+06 1.6740E+04 5.9869E+04 3.5000E+00 1.4753E+03 2.8270E+03 1.0986E+03
5.0452E+02 8.8237E+01 2.9472E+06 1.6740E+04 5.2961E+04 3.5000E+00 1.4753E+03 2.5914E+03 1.7013E+04
5.0452E+02 6.6177E+01 3.2142E+06 1.6740E+04 5.0658E+04 1.7500E+00 1.4753E+03 2.3559E+03 6.3809E+04
5.0452E+02 4.4118E+01 2.9771E+06 1.6740E+04 4.6053E+04 3.5000E+00 1.4753E+03 2.1203E+03 1.0177E+05
5.0452E+02 2.2059E+01 2.5171E+06 1.6740E+04 4.3750E+04 1.7500E+00 1.4753E+03 1.8847E+03 1.0936E+05
5.0452E+02 0.0000E+00 1.9431E+06 1.6740E+04 4.1448E+04 1.7500E+00 1.4753E+03 1.6491E+03 7.9883E+04
4.8050E+02 4.4118E+02 5.2085E+00 1.6740E+04 3.9145E+04 7.0000E+00 1.4753E+03 1.4135E+03 1.2197E+05
4.8050E+02 3.9706E+02 4.6629E+03 1.6740E+04 3.6842E+04 1.7500E+00 1.4753E+03 1.1779E+03 1.4679E+05
4.8050E+02 3.7501E+02 6.0500E+03 1.6740E+04 6.9080E+03 3.5000E+00 1.4753E+03 9.4234E+02 2.7065E+05
4.8050E+02 3.5295E+02 2.2310E+04 1.6740E+04 4.6053E+03 1.1000E+01 1.4753E+03 7.0676E+02 1.4711E+05
4.8050E+02 3.3089E+02 4.8571E+04 1.6740E+04 2.3027E+03 2.0600E+02 1.4753E+03 4.7117E+02 2.6267E+05
4.8050E+02 3.0883E+02 7.4220E+04 1.6740E+04 0.0000E+00 1.3726E+04 1.4753E+03 2.3559E+02 5.6917E+05
4.8050E+02 2.8677E+02 1.3723E+05 1.4279E+04 6.6777E+04 1.7500E+00 1.4753E+03 0.0000E+00 1.5338E+06
4.8050E+02 2.6471E+02 2.0941E+05 1.4279E+04 6.2172E+04 1.7500E+00 1.1881E+03 5.8896E+03 2.2461E+03
4.8050E+02 2.4265E+02 2.8612E+05 1.4279E+04 5.5264E+04 1.7500E+00 1.1881E+03 5.4185E+03 3.5000E+00
4.8050E+02 2.2059E+02 8.1912E+05 1.4279E+04 5.2961E+04 5.2500E+00 1.1881E+03 4.4761E+03 2.2523E+02
4.8050E+02 1.9853E+02 8.7299E+05 1.4279E+04 5.0658E+04 5.2500E+00 1.1881E+03 4.2405E+03 1.1122E+02
4.8050E+02 1.7647E+02 1.9333E+06 1.4279E+04 4.8356E+04 3.5000E+00 1.1881E+03 4.0050E+03 9.8386E+02
4.8050E+02 1.5441E+02 2.7640E+06 1.4279E+04 4.6053E+04 1.7500E+00 1.1881E+03 3.7694E+03 1.3195E+04
4.8050E+02 1.3235E+02 3.5136E+06 1.4279E+04 4.3750E+04 1.7500E+00 1.1881E+03 3.5338E+03 1.3765E+03
4.8050E+02 1.1030E+02 4.5839E+06 1.4279E+04 4.1448E+04 5.2500E+00 1.1881E+03 3.2982E+03 1.4579E+04
4.8050E+02 8.8237E+01 6.0000E+06 1.4279E+04 3.9145E+04 3.5000E+00 1.1881E+03 3.0626E+03 3.4638E+03
4.8050E+02 6.6177E+01 5.8807E+06 1.4279E+04 3.6842E+04 3.5000E+00 1.1881E+03 2.8270E+03 5.2337E+04
4.8050E+02 4.4118E+01 5.5227E+06 1.4279E+04 3.4540E+04 7.0000E+00 1.1881E+03 2.5914E+03 9.2828E+04
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
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Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
4.8050E+02 2.2059E+01 5.3948E+06 1.4279E+04 3.2237E+04 1.7500E+00 1.1881E+03 2.3559E+03 9.4352E+04
4.8050E+02 0.0000E+00 4.0595E+06 1.4279E+04 1.1513E+04 3.5000E+00 1.1881E+03 2.1203E+03 2.2049E+05
4.5648E+02 4.4118E+02 1.6199E+04 1.4279E+04 6.9080E+03 2.5000E+00 1.1881E+03 1.8847E+03 2.2723E+05
4.5648E+02 4.1912E+02 8.5415E+01 1.4279E+04 4.6053E+03 2.0500E+01 1.1881E+03 1.6491E+03 4.4526E+05
4.5648E+02 3.9706E+02 2.8151E+04 1.4279E+04 2.3027E+03 2.3217E+02 1.1881E+03 1.4135E+03 4.2089E+05
4.5648E+02 3.7501E+02 2.4210E+04 1.4279E+04 0.0000E+00 3.3997E+04 1.1881E+03 1.1779E+03 6.6500E+05
4.5648E+02 3.5295E+02 8.6830E+04 1.1817E+04 5.7566E+04 1.7500E+00 1.1881E+03 9.4234E+02 5.8974E+05
4.5648E+02 3.3089E+02 1.0699E+05 1.1817E+04 5.5264E+04 1.7500E+00 1.1881E+03 7.0676E+02 5.7166E+05
4.5648E+02 3.0883E+02 1.9897E+05 1.1817E+04 4.8356E+04 1.7500E+00 1.1881E+03 4.7117E+02 7.6743E+05
4.5648E+02 2.8677E+02 3.7876E+05 1.1817E+04 4.6053E+04 1.7500E+00 1.1881E+03 2.3559E+02 1.8002E+06
4.5648E+02 2.6471E+02 4.7349E+05 1.1817E+04 4.1448E+04 5.2500E+00 1.1881E+03 0.0000E+00 3.7301E+06
4.5648E+02 2.4265E+02 6.5359E+05 1.1817E+04 3.9145E+04 5.2500E+00 9.0081E+02 4.7117E+03 8.1665E+01
4.5648E+02 2.2059E+02 1.2154E+06 1.1817E+04 3.6842E+04 1.7500E+00 9.0081E+02 4.4761E+03 2.2348E+02
4.5648E+02 1.9853E+02 1.7694E+06 1.1817E+04 3.4540E+04 7.0000E+00 9.0081E+02 4.2405E+03 9.8386E+02
4.5648E+02 1.7647E+02 2.4825E+06 1.1817E+04 3.2237E+04 1.9250E+01 9.0081E+02 4.0050E+03 1.3678E+03
4.5648E+02 1.5441E+02 4.0745E+06 1.1817E+04 2.9934E+04 8.7500E+00 9.0081E+02 3.7694E+03 1.4492E+04
4.5648E+02 1.3235E+02 5.4917E+06 1.1817E+04 2.7632E+04 5.2500E+00 9.0081E+02 3.5338E+03 2.6245E+04
4.5648E+02 1.1030E+02 6.6959E+06 1.1817E+04 2.5329E+04 3.5000E+00 9.0081E+02 3.2982E+03 7.7845E+03
4.5648E+02 8.8237E+01 7.9644E+06 1.1817E+04 2.3027E+04 3.5000E+00 9.0081E+02 3.0626E+03 6.3415E+04
4.5648E+02 6.6177E+01 8.3493E+06 1.1817E+04 2.0724E+04 3.5000E+00 9.0081E+02 2.8270E+03 1.1563E+05
4.5648E+02 4.4118E+01 7.9118E+06 1.1817E+04 1.8421E+04 3.5000E+00 9.0081E+02 2.5914E+03 1.1498E+05
4.5648E+02 2.2059E+01 6.1045E+06 1.1817E+04 1.6119E+04 3.5000E+00 9.0081E+02 2.3559E+03 1.8881E+05
4.5648E+02 0.0000E+00 4.8701E+06 1.1817E+04 1.1513E+04 9.5000E+00 9.0081E+02 2.1203E+03 2.9849E+05
4.3246E+02 5.9560E+02 3.9513E+03 1.1817E+04 6.9080E+03 6.0000E+00 9.0081E+02 1.8847E+03 5.5302E+05
4.3246E+02 5.7354E+02 3.9513E+03 1.1817E+04 4.6053E+03 1.0750E+02 9.0081E+02 1.6491E+03 9.6875E+05
4.3246E+02 5.0736E+02 3.9513E+03 1.1817E+04 2.3027E+03 1.7808E+02 9.0081E+02 1.4135E+03 1.3308E+06
4.3246E+02 4.8530E+02 3.9565E+03 1.1817E+04 0.0000E+00 7.4074E+03 9.0081E+02 1.1779E+03 1.5095E+06
4.3246E+02 4.6324E+02 1.1913E+04 9.3551E+03 6.2172E+04 7.5000E+01 9.0081E+02 9.4234E+02 1.4288E+06
4.3246E+02 4.4118E+02 1.8150E+04 9.3551E+03 5.2961E+04 3.9250E+01 9.0081E+02 7.0676E+02 1.5498E+06
4.3246E+02 4.1912E+02 4.8159E+04 9.3551E+03 4.3750E+04 3.7500E+01 9.0081E+02 4.7117E+02 1.5628E+06
4.3246E+02 3.9706E+02 7.4642E+04 9.3551E+03 3.6842E+04 3.5000E+00 9.0081E+02 2.3559E+02 3.8507E+06
4.3246E+02 3.7501E+02 8.5587E+04 9.3551E+03 3.4540E+04 3.4167E+01 9.0081E+02 0.0000E+00 8.2881E+06
4.3246E+02 3.5295E+02 9.9082E+04 9.3551E+03 3.2237E+04 7.8500E+01 6.1356E+02 7.0676E+03 1.2500E+00
4.3246E+02 3.3089E+02 1.3112E+05 9.3551E+03 2.9934E+04 1.2250E+01 6.1356E+02 6.8320E+03 8.1665E+01
4.3246E+02 3.0883E+02 2.1275E+05 9.3551E+03 2.7632E+04 1.7500E+01 6.1356E+02 6.5964E+03 1.9110E+02
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
13/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
4.3246E+02 2.8677E+02 3.3253E+05 9.3551E+03 2.5329E+04 4.2917E+01 6.1356E+02 5.8896E+03 5.2085E+00
4.3246E+02 2.6471E+02 3.5384E+05 9.3551E+03 2.3027E+04 3.2417E+01 6.1356E+02 5.6541E+03 2.2452E+02
4.3246E+02 2.4265E+02 9.4355E+05 9.3551E+03 2.0724E+04 1.9250E+01 6.1356E+02 5.4185E+03 1.1330E+02
4.3246E+02 2.2059E+02 9.2201E+05 9.3551E+03 1.6119E+04 1.0500E+01 6.1356E+02 5.1829E+03 5.0185E+03
4.3246E+02 1.9853E+02 1.4666E+06 9.3551E+03 1.3816E+04 7.0000E+00 6.1356E+02 4.9473E+03 1.3681E+03
4.3246E+02 1.7647E+02 2.5261E+06 9.3551E+03 1.1513E+04 1.7500E+01 6.1356E+02 4.7117E+03 1.5400E+03
4.3246E+02 1.5441E+02 3.5431E+06 9.3551E+03 9.2106E+03 1.6500E+01 6.1356E+02 4.4761E+03 4.9893E+03
4.3246E+02 1.3235E+02 4.7312E+06 9.3551E+03 6.9080E+03 2.5000E+00 6.1356E+02 4.2405E+03 1.3329E+04
4.3246E+02 1.1030E+02 6.0997E+06 9.3551E+03 4.6053E+03 3.3500E+01 6.1356E+02 4.0050E+03 4.4308E+04
4.3246E+02 8.8237E+01 7.4375E+06 9.3551E+03 2.3027E+03 3.8417E+02 6.1356E+02 3.7694E+03 4.3246E+04
4.3246E+02 6.6177E+01 7.5971E+06 9.3551E+03 0.0000E+00 2.5523E+04 6.1356E+02 3.5338E+03 8.8672E+04
4.3246E+02 4.4118E+01 7.3340E+06 6.8933E+03 5.2961E+04 3.7500E+01 6.1356E+02 3.2982E+03 1.1037E+05
4.3246E+02 2.2059E+01 5.7800E+06 6.8933E+03 4.1448E+04 3.7500E+01 6.1356E+02 3.0626E+03 1.8237E+05
4.3246E+02 0.0000E+00 4.7624E+06 6.8933E+03 3.6842E+04 3.5000E+00 6.1356E+02 2.8270E+03 3.1851E+05
4.0844E+02 5.5148E+02 2.2461E+03 6.8933E+03 3.4540E+04 3.2417E+01 6.1356E+02 2.5914E+03 3.2691E+05
4.0844E+02 5.2942E+02 4.4921E+03 6.8933E+03 3.2237E+04 3.3658E+03 6.1356E+02 2.3559E+03 6.0412E+05
4.0844E+02 5.0736E+02 1.0149E+04 6.8933E+03 2.9934E+04 3.6298E+03 6.1356E+02 2.1203E+03 6.9995E+05
4.0844E+02 4.8530E+02 1.7963E+04 6.8933E+03 2.7632E+04 1.1967E+02 6.1356E+02 1.8847E+03 1.2165E+06
4.0844E+02 4.6324E+02 2.5811E+04 6.8933E+03 2.5329E+04 6.8148E+03 6.1356E+02 1.6491E+03 1.7362E+06
4.0844E+02 4.4118E+02 2.3908E+04 6.8933E+03 2.3027E+04 3.9041E+03 6.1356E+02 1.4135E+03 2.5404E+06
4.0844E+02 4.1912E+02 1.0196E+05 6.8933E+03 2.0724E+04 2.0467E+02 6.1356E+02 1.1779E+03 3.0733E+06
4.0844E+02 3.9706E+02 6.3627E+04 6.8933E+03 1.8421E+04 1.8050E+02 6.1356E+02 9.4234E+02 3.5751E+06
4.0844E+02 3.7501E+02 4.6900E+04 6.8933E+03 1.6119E+04 6.0000E+00 6.1356E+02 7.0676E+02 3.8233E+06
4.0844E+02 3.5295E+02 1.5888E+05 6.8933E+03 1.3816E+04 1.0500E+01 6.1356E+02 4.7117E+02 3.9095E+06
4.0844E+02 3.3089E+02 1.3360E+05 6.8933E+03 1.1513E+04 1.6500E+01 6.1356E+02 2.3559E+02 7.2982E+06
4.0844E+02 3.0883E+02 1.4384E+05 6.8933E+03 9.2106E+03 2.8000E+01 6.1356E+02 0.0000E+00 1.6094E+07
4.0844E+02 2.8677E+02 3.6873E+05 6.8933E+03 6.9080E+03 1.6500E+01 3.2630E+02 8.7167E+03 8.1665E+01
4.0844E+02 2.6471E+02 3.7944E+05 6.8933E+03 4.6053E+03 2.3553E+03 3.2630E+02 8.2455E+03 2.0833E+00
4.0844E+02 2.4265E+02 4.9145E+05 6.8933E+03 2.3027E+03 3.5240E+02 3.2630E+02 7.3032E+03 1.0951E+03
4.0844E+02 2.2059E+02 7.0837E+05 6.8933E+03 0.0000E+00 9.3043E+04 3.2630E+02 6.8320E+03 3.0357E+02
4.0844E+02 1.9853E+02 1.1621E+06 4.4316E+03 5.5264E+04 1.2500E+00 3.2630E+02 6.5964E+03 7.6648E+02
4.0844E+02 1.7647E+02 1.8411E+06 4.4316E+03 5.0658E+04 1.2500E+00 3.2630E+02 6.3608E+03 1.1542E+01
4.0844E+02 1.5441E+02 2.5526E+06 4.4316E+03 4.8356E+04 2.5000E+00 3.2630E+02 5.8896E+03 2.7461E+03
4.0844E+02 1.3235E+02 3.7484E+06 4.4316E+03 4.6053E+04 2.8917E+01 3.2630E+02 5.6541E+03 1.1497E+02
4.0844E+02 1.1030E+02 4.7552E+06 4.4316E+03 4.3750E+04 3.7500E+01 3.2630E+02 5.4185E+03 7.1568E+02
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
14/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
4.0844E+02 8.8237E+01 5.7255E+06 4.4316E+03 4.1448E+04 7.5000E+01 3.2630E+02 5.1829E+03 2.9180E+04
4.0844E+02 6.6177E+01 5.8367E+06 4.4316E+03 3.9145E+04 3.7500E+01 3.2630E+02 4.9473E+03 9.0488E+03
4.0844E+02 4.4118E+01 6.0982E+06 4.4316E+03 3.6842E+04 5.9583E+01 3.2630E+02 4.7117E+03 3.0930E+04
4.0844E+02 2.2059E+01 6.0997E+06 4.4316E+03 3.4540E+04 1.7208E+02 3.2630E+02 4.4761E+03 1.8286E+04
4.0844E+02 0.0000E+00 4.2782E+06 4.4316E+03 3.2237E+04 1.0567E+02 3.2630E+02 4.2405E+03 2.7267E+04
3.8442E+02 5.9560E+02 2.2461E+03 4.4316E+03 2.9934E+04 7.8500E+01 3.2630E+02 4.0050E+03 2.7098E+04
3.8442E+02 5.7354E+02 6.7382E+03 4.4316E+03 2.7632E+04 3.3456E+03 3.2630E+02 3.7694E+03 4.6127E+04
3.8442E+02 5.5148E+02 3.9513E+03 4.4316E+03 2.5329E+04 7.0000E+00 3.2630E+02 3.5338E+03 1.6811E+05
3.8442E+02 5.2942E+02 8.0733E+03 4.4316E+03 2.3027E+04 3.5475E+02 3.2630E+02 3.2982E+03 1.4169E+05
3.8442E+02 5.0736E+02 1.0149E+04 4.4316E+03 2.0724E+04 5.1108E+02 3.2630E+02 3.0626E+03 2.8585E+05
3.8442E+02 4.8530E+02 4.3642E+04 4.4316E+03 1.8421E+04 1.0409E+04 3.2630E+02 2.8270E+03 4.2504E+05
3.8442E+02 4.6324E+02 3.4627E+04 4.4316E+03 1.6119E+04 6.7946E+03 3.2630E+02 2.5914E+03 4.9773E+05
3.8442E+02 4.4118E+02 4.9076E+04 4.4316E+03 1.3816E+04 1.3467E+04 3.2630E+02 2.3559E+03 8.5720E+05
3.8442E+02 4.1912E+02 5.0972E+04 4.4316E+03 1.1513E+04 3.0760E+03 3.2630E+02 2.1203E+03 1.2255E+06
3.8442E+02 3.9706E+02 8.6191E+04 4.4316E+03 9.2106E+03 1.1917E+03 3.2630E+02 1.8847E+03 2.2666E+06
3.8442E+02 3.7501E+02 9.7847E+04 4.4316E+03 6.9080E+03 9.8445E+03 3.2630E+02 1.6491E+03 2.7476E+06
3.8442E+02 3.5295E+02 7.0996E+04 4.4316E+03 4.6053E+03 8.5679E+03 3.2630E+02 1.4135E+03 4.4066E+06
3.8442E+02 3.3089E+02 1.5807E+05 4.4316E+03 2.3027E+03 1.9906E+04 3.2630E+02 1.1779E+03 5.1850E+06
3.8442E+02 3.0883E+02 1.9949E+05 4.4316E+03 0.0000E+00 2.7324E+05 3.2630E+02 9.4234E+02 7.0847E+06
3.8442E+02 2.8677E+02 2.4329E+05 1.9698E+03 6.9080E+04 1.2500E+00 3.2630E+02 7.0676E+02 7.3497E+06
3.8442E+02 2.6471E+02 4.2636E+05 1.9698E+03 6.2172E+04 2.5000E+00 3.2630E+02 4.7117E+02 6.2916E+06
3.8442E+02 2.4265E+02 4.5912E+05 1.9698E+03 5.0658E+04 1.2500E+00 3.2630E+02 2.3559E+02 1.2699E+07
3.8442E+02 2.2059E+02 6.9456E+05 1.9698E+03 4.6053E+04 1.2500E+00 3.2630E+02 0.0000E+00 2.7052E+07
3.8442E+02 1.9853E+02 1.1495E+06 1.9698E+03 4.3750E+04 1.1250E+02 3.9044E+01 8.9523E+03 1.0417E+00
3.8442E+02 1.7647E+02 1.4843E+06 1.9698E+03 4.1448E+04 3.3346E+03 3.9044E+01 8.7167E+03 1.1226E+02
3.8442E+02 1.5441E+02 2.2580E+06 1.9698E+03 3.9145E+04 1.7500E+00 3.9044E+01 8.4811E+03 1.1122E+02
3.8442E+02 1.3235E+02 3.1198E+06 1.9698E+03 3.6842E+04 3.3912E+03 3.9044E+01 8.2455E+03 6.8303E+02
3.8442E+02 1.1030E+02 3.9598E+06 1.9698E+03 3.4540E+04 3.2417E+01 3.9044E+01 8.0099E+03 2.3017E+03
3.8442E+02 8.8237E+01 5.1622E+06 1.9698E+03 3.2237E+04 3.3351E+03 3.9044E+01 7.7743E+03 1.1243E+03
3.8442E+02 6.6177E+01 5.7372E+06 1.9698E+03 2.9934E+04 3.5000E+00 3.9044E+01 7.5387E+03 9.8386E+02
3.8442E+02 4.4118E+01 5.5777E+06 1.9698E+03 2.7632E+04 1.7500E+00 3.9044E+01 7.3032E+03 1.6683E+02
3.8442E+02 2.2059E+01 5.2534E+06 1.9698E+03 2.5329E+04 3.3334E+03 3.9044E+01 7.0676E+03 7.0371E+03
3.8442E+02 0.0000E+00 3.8122E+06 1.9698E+03 2.3027E+04 7.6750E+01 3.9044E+01 6.8320E+03 1.7288E+04
3.6040E+02 5.9560E+02 4.4921E+03 1.9698E+03 2.0724E+04 3.2033E+02 3.9044E+01 6.5964E+03 1.2076E+04
3.6040E+02 5.7354E+02 1.4641E+04 1.9698E+03 1.8421E+04 3.1569E+04 3.9044E+01 6.3608E+03 1.5079E+03
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
15/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
3.6040E+02 5.5148E+02 3.9533E+03 1.9698E+03 1.6119E+04 2.9395E+04 3.9044E+01 6.1252E+03 1.4760E+04
3.6040E+02 5.2942E+02 1.4055E+04 1.9698E+03 1.3816E+04 5.9705E+04 3.9044E+01 5.8896E+03 3.5739E+04
3.6040E+02 5.0736E+02 7.8537E+03 1.9698E+03 1.1513E+04 1.4642E+04 3.9044E+01 5.6541E+03 1.9867E+04
3.6040E+02 4.8530E+02 2.1880E+04 1.9698E+03 9.2106E+03 3.4873E+04 3.9044E+01 5.4185E+03 4.1230E+04
3.6040E+02 4.6324E+02 4.5652E+04 1.9698E+03 6.9080E+03 2.4239E+04 3.9044E+01 5.1829E+03 6.4518E+04
3.6040E+02 4.4118E+02 4.3008E+04 1.9698E+03 4.6053E+03 1.8669E+05 3.9044E+01 4.9473E+03 8.0519E+04
3.6040E+02 4.1912E+02 6.2126E+04 1.9698E+03 2.3027E+03 9.4625E+05 3.9044E+01 4.7117E+03 6.9228E+04
3.6040E+02 3.9706E+02 8.4339E+04 1.9698E+03 0.0000E+00 1.4478E+07 3.9044E+01 4.4761E+03 1.2109E+05
3.6040E+02 3.7501E+02 6.3538E+04 -4.9199E+02 5.2961E+04 1.2500E+00 3.9044E+01 4.2405E+03 8.9468E+04
3.6040E+02 3.5295E+02 1.0088E+05 -4.9199E+02 5.0658E+04 3.7500E+00 3.9044E+01 4.0050E+03 1.0769E+05
3.6040E+02 3.3089E+02 1.7059E+05 -4.9199E+02 4.8356E+04 5.0000E+00 3.9044E+01 3.7694E+03 2.0000E+05
3.6040E+02 3.0883E+02 2.4495E+05 -4.9199E+02 4.6053E+04 2.5000E+00 3.9044E+01 3.5338E+03 3.0056E+05
3.6040E+02 2.8677E+02 2.8533E+05 -4.9199E+02 4.3750E+04 2.5000E+00 3.9044E+01 3.2982E+03 2.9715E+05
3.6040E+02 2.6471E+02 3.8748E+05 -4.9199E+02 4.1448E+04 2.6250E+02 3.9044E+01 3.0626E+03 4.2811E+05
3.6040E+02 2.4265E+02 5.5721E+05 -4.9199E+02 3.9145E+04 2.1642E+02 3.9044E+01 2.8270E+03 7.0721E+05
3.6040E+02 2.2059E+02 8.6773E+05 -4.9199E+02 3.6842E+04 2.3100E+02 3.9044E+01 2.5914E+03 8.3859E+05
3.6040E+02 1.9853E+02 1.3797E+06 -4.9199E+02 3.4540E+04 3.4851E+03 3.9044E+01 2.3559E+03 1.1782E+06
3.6040E+02 1.7647E+02 1.5165E+06 -4.9199E+02 3.2237E+04 5.6500E+02 3.9044E+01 2.1203E+03 1.7770E+06
3.6040E+02 1.5441E+02 2.0859E+06 -4.9199E+02 2.9934E+04 4.5000E+02 3.9044E+01 1.8847E+03 2.4979E+06
3.6040E+02 1.3235E+02 3.1586E+06 -4.9199E+02 2.7632E+04 4.5125E+02 3.9044E+01 1.6491E+03 3.5714E+06
3.6040E+02 1.1030E+02 4.2108E+06 -4.9199E+02 2.5329E+04 4.5000E+02 3.9044E+01 1.4135E+03 4.7616E+06
3.6040E+02 8.8237E+01 5.3614E+06 -4.9199E+02 2.3027E+04 9.0000E+02 3.9044E+01 1.1779E+03 6.8580E+06
3.6040E+02 6.6177E+01 6.3058E+06 -4.9199E+02 2.0724E+04 2.1066E+03 3.9044E+01 9.4234E+02 9.1882E+06
3.6040E+02 4.4118E+01 6.0127E+06 -4.9199E+02 1.8421E+04 2.1653E+04 3.9044E+01 7.0676E+02 9.1677E+06
3.6040E+02 2.2059E+01 5.6916E+06 -4.9199E+02 1.6119E+04 4.3743E+04 3.9044E+01 4.7117E+02 9.9704E+06
3.6040E+02 0.0000E+00 4.3362E+06 -4.9199E+02 1.3816E+04 8.5374E+04 3.9044E+01 2.3559E+02 1.8462E+07
3.3638E+02 7.2795E+02 5.5610E+01 -4.9199E+02 1.1513E+04 9.9629E+04 3.9044E+01 0.0000E+00 7.6527E+07
3.3638E+02 6.8383E+02 8.5415E+01 -4.9199E+02 9.2106E+03 1.0183E+05 -2.4821E+02 9.1878E+03 5.5610E+01
3.3638E+02 6.6177E+02 5.5610E+01 -4.9199E+02 6.9080E+03 8.2669E+04 -2.4821E+02 8.9523E+03 5.5610E+01
3.3638E+02 6.3972E+02 1.9235E+02 -4.9199E+02 4.6053E+03 1.9387E+05 -2.4821E+02 8.7167E+03 7.9549E+02
3.3638E+02 6.1766E+02 1.0417E+00 -4.9199E+02 2.3027E+03 7.9056E+05 -2.4821E+02 8.2455E+03 8.4985E+02
3.3638E+02 5.9560E+02 1.3108E+03 -4.9199E+02 0.0000E+00 4.2633E+06 -2.4821E+02 8.0099E+03 6.0440E+02
3.3638E+02 5.7354E+02 6.9406E+03 -2.9538E+03 1.0362E+05 1.7500E+00 -2.4821E+02 7.7743E+03 4.7144E+02
3.3638E+02 5.5148E+02 7.1783E+03 -2.9538E+03 9.9014E+04 1.7500E+00 -2.4821E+02 7.5387E+03 9.0671E+02
3.3638E+02 5.2942E+02 1.1195E+04 -2.9538E+03 8.0593E+04 1.2500E+00 -2.4821E+02 7.3032E+03 1.6687E+04
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
16/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
3.3638E+02 5.0736E+02 1.1272E+04 -2.9538E+03 6.9080E+04 1.2500E+00 -2.4821E+02 7.0676E+03 2.5198E+04
3.3638E+02 4.8530E+02 1.9483E+04 -2.9538E+03 6.2172E+04 1.2500E+00 -2.4821E+02 6.8320E+03 2.0302E+04
3.3638E+02 4.6324E+02 3.4228E+04 -2.9538E+03 5.9869E+04 1.2500E+00 -2.4821E+02 6.5964E+03 2.0267E+04
3.3638E+02 4.4118E+02 3.0424E+04 -2.9538E+03 5.5264E+04 1.2500E+00 -2.4821E+02 6.3608E+03 1.9553E+04
3.3638E+02 4.1912E+02 4.0205E+04 -2.9538E+03 5.2961E+04 1.2500E+00 -2.4821E+02 6.1252E+03 4.6562E+04
3.3638E+02 3.9706E+02 8.8853E+04 -2.9538E+03 5.0658E+04 2.5000E+00 -2.4821E+02 5.8896E+03 4.0640E+04
3.3638E+02 3.7501E+02 1.3162E+05 -2.9538E+03 4.8356E+04 3.4583E+01 -2.4821E+02 5.6541E+03 5.2142E+04
3.3638E+02 3.5295E+02 1.2739E+05 -2.9538E+03 4.6053E+04 2.5000E+00 -2.4821E+02 5.4185E+03 5.0360E+04
3.3638E+02 3.3089E+02 1.5670E+05 -2.9538E+03 4.3750E+04 2.5000E+00 -2.4821E+02 5.1829E+03 7.8582E+04
3.3638E+02 3.0883E+02 3.0601E+05 -2.9538E+03 4.1448E+04 3.7500E+00 -2.4821E+02 4.9473E+03 9.2332E+04
3.3638E+02 2.8677E+02 4.5593E+05 -2.9538E+03 3.9145E+04 3.3333E+01 -2.4821E+02 4.7117E+03 9.4143E+04
3.3638E+02 2.6471E+02 6.1382E+05 -2.9538E+03 3.6842E+04 8.0000E+01 -2.4821E+02 4.4761E+03 1.6040E+05
3.3638E+02 2.4265E+02 7.4166E+05 -2.9538E+03 3.4540E+04 2.5000E+00 -2.4821E+02 4.2405E+03 1.2347E+05
3.3638E+02 2.2059E+02 9.7169E+05 -2.9538E+03 3.2237E+04 1.9550E+02 -2.4821E+02 4.0050E+03 2.4271E+05
3.3638E+02 1.9853E+02 1.1683E+06 -2.9538E+03 2.9934E+04 1.6875E+02 -2.4821E+02 3.7694E+03 2.3858E+05
3.3638E+02 1.7647E+02 1.7381E+06 -2.9538E+03 2.7632E+04 1.5500E+02 -2.4821E+02 3.5338E+03 3.1789E+05
3.3638E+02 1.5441E+02 2.5740E+06 -2.9538E+03 2.5329E+04 8.2500E+01 -2.4821E+02 3.2982E+03 4.4486E+05
3.3638E+02 1.3235E+02 3.5578E+06 -2.9538E+03 2.3027E+04 1.8400E+03 -2.4821E+02 3.0626E+03 5.6993E+05
3.3638E+02 1.1030E+02 4.2541E+06 -2.9538E+03 2.0724E+04 3.0764E+03 -2.4821E+02 2.8270E+03 6.9902E+05
3.3638E+02 8.8237E+01 5.7682E+06 -2.9538E+03 1.8421E+04 2.1333E+03 -2.4821E+02 2.5914E+03 1.2075E+06
3.3638E+02 6.6177E+01 7.2637E+06 -2.9538E+03 1.6119E+04 2.6690E+03 -2.4821E+02 2.3559E+03 1.5407E+06
3.3638E+02 4.4118E+01 7.3043E+06 -2.9538E+03 1.3816E+04 2.8818E+03 -2.4821E+02 2.1203E+03 1.7850E+06
3.3638E+02 2.2059E+01 6.6732E+06 -2.9538E+03 1.1513E+04 6.4561E+03 -2.4821E+02 1.8847E+03 2.6922E+06
3.3638E+02 0.0000E+00 4.9367E+06 -2.9538E+03 9.2106E+03 1.1599E+04 -2.4821E+02 1.6491E+03 3.3997E+06
3.1236E+02 7.5001E+02 5.5610E+01 -2.9538E+03 6.9080E+03 1.5618E+04 -2.4821E+02 1.4135E+03 4.7370E+06
3.1236E+02 7.0589E+02 1.1122E+02 -2.9538E+03 4.6053E+03 1.8347E+05 -2.4821E+02 1.1779E+03 6.4957E+06
3.1236E+02 6.8383E+02 3.0232E+02 -2.9538E+03 2.3027E+03 1.5786E+06 -2.4821E+02 9.4234E+02 8.3064E+06
3.1236E+02 6.6177E+02 1.7204E+02 -2.9538E+03 0.0000E+00 6.1116E+06 -2.4821E+02 7.0676E+02 8.9118E+06
3.1236E+02 6.3972E+02 8.6665E+01 -5.4155E+03 1.0362E+05 1.7500E+00 -2.4821E+02 4.7117E+02 8.5630E+06
3.1236E+02 6.1766E+02 3.3477E+03 -5.4155E+03 9.4409E+04 1.7500E+00 -2.4821E+02 2.3559E+02 1.7470E+07
3.1236E+02 5.9560E+02 4.0197E+03 -5.4155E+03 9.2106E+04 3.5000E+00 -2.4821E+02 0.0000E+00 3.3945E+07
3.1236E+02 5.7354E+02 1.5597E+03 -5.4155E+03 8.5198E+04 1.2500E+00 -5.3547E+02 8.7167E+03 3.0232E+02
3.1236E+02 5.5148E+02 1.0605E+04 -5.4155E+03 7.5988E+04 1.2500E+00 -5.3547E+02 8.4811E+03 5.5610E+01
3.1236E+02 5.2942E+02 4.5739E+03 -5.4155E+03 5.5264E+04 2.5000E+00 -5.3547E+02 8.2455E+03 1.6787E+02
3.1236E+02 5.0736E+02 1.7618E+04 -5.4155E+03 5.2961E+04 5.0000E+00 -5.3547E+02 8.0099E+03 1.9963E+03
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
17/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
3.1236E+02 4.8530E+02 1.5599E+04 -5.4155E+03 5.0658E+04 4.0000E+01 -5.3547E+02 7.7743E+03 2.8468E+03
3.1236E+02 4.6324E+02 2.3962E+04 -5.4155E+03 4.6053E+04 3.8750E+01 -5.3547E+02 7.5387E+03 3.6450E+03
3.1236E+02 4.4118E+02 4.0799E+04 -5.4155E+03 4.3750E+04 7.7500E+01 -5.3547E+02 7.3032E+03 3.6901E+03
3.1236E+02 4.1912E+02 4.1565E+04 -5.4155E+03 4.1448E+04 7.3333E+01 -5.3547E+02 7.0676E+03 9.0394E+03
3.1236E+02 3.9706E+02 7.7436E+04 -5.4155E+03 3.9145E+04 8.0000E+01 -5.3547E+02 6.8320E+03 2.1093E+04
3.1236E+02 3.7501E+02 9.3967E+04 -5.4155E+03 3.6842E+04 8.9329E+01 -5.3547E+02 6.5964E+03 3.8818E+04
3.1236E+02 3.5295E+02 1.9486E+05 -5.4155E+03 3.4540E+04 1.8208E+02 -5.3547E+02 6.3608E+03 2.3886E+04
3.1236E+02 3.3089E+02 3.0187E+05 -5.4155E+03 3.2237E+04 1.7750E+02 -5.3547E+02 6.1252E+03 4.6839E+04
3.1236E+02 3.0883E+02 2.5464E+05 -5.4155E+03 2.9934E+04 3.1500E+02 -5.3547E+02 5.8896E+03 3.3896E+04
3.1236E+02 2.8677E+02 4.6739E+05 -5.4155E+03 2.7632E+04 2.6125E+02 -5.3547E+02 5.6541E+03 6.6707E+04
3.1236E+02 2.6471E+02 5.5520E+05 -5.4155E+03 2.5329E+04 3.2349E+02 -5.3547E+02 5.4185E+03 8.8934E+04
3.1236E+02 2.4265E+02 7.9755E+05 -5.4155E+03 2.3027E+04 2.7796E+02 -5.3547E+02 5.1829E+03 9.9594E+04
3.1236E+02 2.2059E+02 9.7649E+05 -5.4155E+03 2.0724E+04 1.6499E+03 -5.3547E+02 4.9473E+03 1.2862E+05
3.1236E+02 1.9853E+02 1.2165E+06 -5.4155E+03 1.8421E+04 6.8381E+03 -5.3547E+02 4.7117E+03 1.1973E+05
3.1236E+02 1.7647E+02 1.8993E+06 -5.4155E+03 1.6119E+04 7.1802E+03 -5.3547E+02 4.4761E+03 1.2584E+05
3.1236E+02 1.5441E+02 2.1712E+06 -5.4155E+03 1.3816E+04 1.2035E+04 -5.3547E+02 4.2405E+03 2.5662E+05
3.1236E+02 1.3235E+02 3.1316E+06 -5.4155E+03 1.1513E+04 1.3981E+04 -5.3547E+02 4.0050E+03 2.4830E+05
3.1236E+02 1.1030E+02 4.4017E+06 -5.4155E+03 9.2106E+03 2.6615E+04 -5.3547E+02 3.7694E+03 1.9299E+05
3.1236E+02 8.8237E+01 6.2405E+06 -5.4155E+03 6.9080E+03 3.0884E+04 -5.3547E+02 3.5338E+03 3.5462E+05
3.1236E+02 6.6177E+01 7.6786E+06 -5.4155E+03 4.6053E+03 4.9318E+05 -5.3547E+02 3.2982E+03 4.6182E+05
3.1236E+02 4.4118E+01 8.1332E+06 -5.4155E+03 2.3027E+03 3.4594E+06 -5.3547E+02 3.0626E+03 4.4421E+05
3.1236E+02 2.2059E+01 7.3870E+06 -5.4155E+03 0.0000E+00 1.1670E+07 -5.3547E+02 2.8270E+03 7.6176E+05
3.1236E+02 0.0000E+00 5.0096E+06 -7.8773E+03 1.1513E+05 1.7500E+00 -5.3547E+02 2.5914E+03 1.0317E+06
2.8834E+02 7.0589E+02 1.1122E+02 -7.8773E+03 1.1283E+05 1.7500E+00 -5.3547E+02 2.3559E+03 1.4494E+06
2.8834E+02 6.8383E+02 1.4102E+02 -7.8773E+03 1.1053E+05 1.7500E+00 -5.3547E+02 2.1203E+03 2.0423E+06
2.8834E+02 6.6177E+02 4.9466E+02 -7.8773E+03 1.0132E+05 1.7500E+00 -5.3547E+02 1.8847E+03 2.8853E+06
2.8834E+02 6.3972E+02 1.1747E+02 -7.8773E+03 9.9014E+04 3.5000E+00 -5.3547E+02 1.6491E+03 4.1554E+06
2.8834E+02 6.1766E+02 9.3839E+02 -7.8773E+03 9.6711E+04 1.7500E+00 -5.3547E+02 1.4135E+03 4.5122E+06
2.8834E+02 5.9560E+02 1.6702E+03 -7.8773E+03 9.4409E+04 5.2500E+00 -5.3547E+02 1.1779E+03 5.4948E+06
2.8834E+02 5.7354E+02 4.3152E+03 -7.8773E+03 8.5198E+04 1.2500E+00 -5.3547E+02 9.4234E+02 6.5515E+06
2.8834E+02 5.5148E+02 8.5663E+03 -7.8773E+03 7.8290E+04 1.2500E+00 -5.3547E+02 7.0676E+02 6.2030E+06
2.8834E+02 5.2942E+02 6.9156E+03 -7.8773E+03 6.2172E+04 1.2500E+00 -5.3547E+02 4.7117E+02 7.1146E+06
2.8834E+02 5.0736E+02 1.2040E+04 -7.8773E+03 5.7566E+04 1.2500E+00 -5.3547E+02 2.3559E+02 1.3684E+07
2.8834E+02 4.8530E+02 2.7827E+04 -7.8773E+03 5.2961E+04 2.5000E+00 -5.3547E+02 0.0000E+00 2.6356E+07
2.8834E+02 4.6324E+02 3.1808E+04 -7.8773E+03 5.0658E+04 1.2500E+00 -8.2272E+02 8.7167E+03 1.0417E+00
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
18/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
2.8834E+02 4.4118E+02 3.6385E+04 -7.8773E+03 4.8356E+04 1.2500E+00 -8.2272E+02 8.4811E+03 2.5316E+02
2.8834E+02 4.1912E+02 6.8035E+04 -7.8773E+03 4.6053E+04 6.8295E+00 -8.2272E+02 8.2455E+03 5.6652E+01
2.8834E+02 3.9706E+02 9.0954E+04 -7.8773E+03 4.3750E+04 3.7500E+01 -8.2272E+02 8.0099E+03 1.6683E+02
2.8834E+02 3.7501E+02 9.0338E+04 -7.8773E+03 4.1448E+04 9.7989E+01 -8.2272E+02 7.7743E+03 2.4318E+02
2.8834E+02 3.5295E+02 1.3830E+05 -7.8773E+03 3.9145E+04 7.8750E+01 -8.2272E+02 7.5387E+03 2.2577E+02
2.8834E+02 3.3089E+02 1.9329E+05 -7.8773E+03 3.6842E+04 2.0433E+02 -8.2272E+02 7.3032E+03 3.5654E+03
2.8834E+02 3.0883E+02 2.3202E+05 -7.8773E+03 3.4540E+04 1.9750E+02 -8.2272E+02 7.0676E+03 6.1579E+03
2.8834E+02 2.8677E+02 2.9594E+05 -7.8773E+03 3.2237E+04 2.0671E+02 -8.2272E+02 6.8320E+03 1.0857E+04
2.8834E+02 2.6471E+02 4.3960E+05 -7.8773E+03 2.9934E+04 9.9583E+01 -8.2272E+02 6.5964E+03 1.5061E+04
2.8834E+02 2.4265E+02 5.2666E+05 -7.8773E+03 2.7632E+04 1.9076E+02 -8.2272E+02 6.3608E+03 2.0783E+04
2.8834E+02 2.2059E+02 6.6535E+05 -7.8773E+03 2.5329E+04 3.2565E+02 -8.2272E+02 6.1252E+03 3.9797E+04
2.8834E+02 1.9853E+02 9.3360E+05 -7.8773E+03 2.3027E+04 1.3094E+03 -8.2272E+02 5.8896E+03 2.6782E+04
2.8834E+02 1.7647E+02 1.1425E+06 -7.8773E+03 2.0724E+04 6.5851E+03 -8.2272E+02 5.6541E+03 4.6906E+04
2.8834E+02 1.5441E+02 1.7749E+06 -7.8773E+03 1.8421E+04 4.0849E+03 -8.2272E+02 5.4185E+03 3.3058E+04
2.8834E+02 1.3235E+02 2.3566E+06 -7.8773E+03 1.6119E+04 7.4248E+03 -8.2272E+02 5.1829E+03 9.0645E+04
2.8834E+02 1.1030E+02 3.6670E+06 -7.8773E+03 1.3816E+04 1.0686E+04 -8.2272E+02 4.9473E+03 1.0849E+05
2.8834E+02 8.8237E+01 4.9361E+06 -7.8773E+03 1.1513E+04 2.2894E+04 -8.2272E+02 4.7117E+03 9.3952E+04
2.8834E+02 6.6177E+01 7.1978E+06 -7.8773E+03 9.2106E+03 1.8831E+04 -8.2272E+02 4.4761E+03 9.7861E+04
2.8834E+02 4.4118E+01 7.4604E+06 -7.8773E+03 6.9080E+03 3.7483E+04 -8.2272E+02 4.2405E+03 1.0979E+05
2.8834E+02 2.2059E+01 7.3439E+06 -7.8773E+03 4.6053E+03 6.1886E+05 -8.2272E+02 4.0050E+03 1.5520E+05
2.8834E+02 0.0000E+00 4.5577E+06 -7.8773E+03 2.3027E+03 6.2651E+06 -8.2272E+02 3.7694E+03 2.0844E+05
2.6432E+02 7.7207E+02 5.5610E+01 -7.8773E+03 0.0000E+00 1.7897E+07 -8.2272E+02 3.5338E+03 2.0671E+05
2.6432E+02 7.2795E+02 3.9469E+02 -1.0339E+04 1.1283E+05 7.0000E+00 -8.2272E+02 3.2982E+03 4.3262E+05
2.6432E+02 7.0589E+02 1.0417E+00 -1.0339E+04 1.1053E+05 1.7500E+00 -8.2272E+02 3.0626E+03 5.5763E+05
2.6432E+02 6.8383E+02 9.9391E+02 -1.0339E+04 1.0592E+05 1.0417E+01 -8.2272E+02 2.8270E+03 6.9581E+05
2.6432E+02 6.6177E+02 5.5235E+02 -1.0339E+04 1.0362E+05 1.7500E+00 -8.2272E+02 2.5914E+03 9.8433E+05
2.6432E+02 6.3972E+02 3.6180E+02 -1.0339E+04 9.9014E+04 1.7500E+00 -8.2272E+02 2.3559E+03 1.3722E+06
2.6432E+02 6.1766E+02 1.4291E+03 -1.0339E+04 9.6711E+04 1.7500E+00 -8.2272E+02 2.1203E+03 1.8511E+06
2.6432E+02 5.9560E+02 1.2711E+03 -1.0339E+04 9.4409E+04 1.7500E+00 -8.2272E+02 1.8847E+03 2.7424E+06
2.6432E+02 5.7354E+02 1.4330E+03 -1.0339E+04 8.7501E+04 1.7500E+00 -8.2272E+02 1.6491E+03 3.2525E+06
2.6432E+02 5.5148E+02 3.0223E+03 -1.0339E+04 8.2896E+04 3.0000E+00 -8.2272E+02 1.4135E+03 4.1671E+06
2.6432E+02 5.2942E+02 4.8815E+03 -1.0339E+04 8.0593E+04 6.0000E+00 -8.2272E+02 1.1779E+03 4.1683E+06
2.6432E+02 5.0736E+02 7.6445E+03 -1.0339E+04 7.8290E+04 1.2500E+00 -8.2272E+02 9.4234E+02 4.7885E+06
2.6432E+02 4.8530E+02 6.4506E+03 -1.0339E+04 7.3685E+04 1.2500E+00 -8.2272E+02 7.0676E+02 4.3630E+06
2.6432E+02 4.6324E+02 1.6619E+04 -1.0339E+04 6.9080E+04 1.2500E+00 -8.2272E+02 4.7117E+02 4.3862E+06
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
19/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
2.6432E+02 4.4118E+02 1.0623E+04 -1.0339E+04 5.0658E+04 6.8295E+00 -8.2272E+02 2.3559E+02 9.1187E+06
2.6432E+02 4.1912E+02 2.4005E+04 -1.0339E+04 4.8356E+04 1.2500E+00 -8.2272E+02 0.0000E+00 1.7197E+07
2.6432E+02 3.9706E+02 4.2916E+04 -1.0339E+04 4.3750E+04 3.7500E+00 -1.1100E+03 9.4234E+03 5.5610E+01
2.6432E+02 3.7501E+02 5.3998E+04 -1.0339E+04 4.1448E+04 1.9574E+01 -1.1100E+03 8.7167E+03 1.2500E+00
2.6432E+02 3.5295E+02 7.0768E+04 -1.0339E+04 3.9145E+04 1.9636E+01 -1.1100E+03 8.2455E+03 1.2500E+00
2.6432E+02 3.3089E+02 9.5068E+04 -1.0339E+04 3.6842E+04 1.6159E+01 -1.1100E+03 8.0099E+03 2.2461E+03
2.6432E+02 3.0883E+02 1.0259E+05 -1.0339E+04 3.4540E+04 3.0182E+01 -1.1100E+03 7.7743E+03 2.5000E+00
2.6432E+02 2.8677E+02 1.5193E+05 -1.0339E+04 3.2237E+04 7.5579E+01 -1.1100E+03 7.5387E+03 3.9469E+02
2.6432E+02 2.6471E+02 1.8388E+05 -1.0339E+04 2.9934E+04 1.4330E+01 -1.1100E+03 7.3032E+03 1.1455E+02
2.6432E+02 2.4265E+02 2.7333E+05 -1.0339E+04 2.7632E+04 1.9394E+02 -1.1100E+03 7.0676E+03 1.1226E+02
2.6432E+02 2.2059E+02 4.1670E+05 -1.0339E+04 2.5329E+04 4.2295E+02 -1.1100E+03 6.8320E+03 2.3552E+03
2.6432E+02 1.9853E+02 5.3643E+05 -1.0339E+04 2.3027E+04 1.0409E+04 -1.1100E+03 6.5964E+03 4.0881E+03
2.6432E+02 1.7647E+02 7.8659E+05 -1.0339E+04 2.0724E+04 9.4917E+02 -1.1100E+03 6.3608E+03 6.0563E+03
2.6432E+02 1.5441E+02 9.8813E+05 -1.0339E+04 1.8421E+04 7.0073E+02 -1.1100E+03 6.1252E+03 7.2147E+02
2.6432E+02 1.3235E+02 1.8313E+06 -1.0339E+04 1.6119E+04 9.8607E+03 -1.1100E+03 5.8896E+03 1.2702E+03
2.6432E+02 1.1030E+02 3.2052E+06 -1.0339E+04 1.3816E+04 1.8857E+04 -1.1100E+03 5.6541E+03 1.2184E+04
2.6432E+02 8.8237E+01 4.8043E+06 -1.0339E+04 1.1513E+04 2.3528E+04 -1.1100E+03 5.4185E+03 9.7427E+03
2.6432E+02 6.6177E+01 6.5551E+06 -1.0339E+04 9.2106E+03 7.0571E+04 -1.1100E+03 5.1829E+03 2.0692E+04
2.6432E+02 4.4118E+01 7.3440E+06 -1.0339E+04 6.9080E+03 8.5861E+04 -1.1100E+03 4.9473E+03 1.1247E+04
2.6432E+02 2.2059E+01 7.6167E+06 -1.0339E+04 4.6053E+03 1.2883E+06 -1.1100E+03 4.7117E+03 2.2466E+04
2.6432E+02 0.0000E+00 4.6204E+06 -1.0339E+04 2.3027E+03 8.0052E+06 -1.1100E+03 4.4761E+03 4.3050E+04
2.4030E+02 8.1619E+02 1.0417E+00 -1.0339E+04 0.0000E+00 2.3597E+07 -1.1100E+03 4.2405E+03 5.2797E+04
2.4030E+02 7.9413E+02 3.8542E+01 -1.2801E+04 1.1283E+05 1.7500E+00 -1.1100E+03 4.0050E+03 9.8396E+04
2.4030E+02 7.7207E+02 5.2085E+00 -1.2801E+04 1.1053E+05 3.5000E+00 -1.1100E+03 3.7694E+03 1.0752E+05
2.4030E+02 7.2795E+02 1.0417E+00 -1.2801E+04 1.0822E+05 5.2085E+00 -1.1100E+03 3.5338E+03 1.5338E+05
2.4030E+02 7.0589E+02 1.0417E+00 -1.2801E+04 1.0592E+05 9.0626E+01 -1.1100E+03 3.2982E+03 2.4763E+05
2.4030E+02 6.8383E+02 1.0417E+00 -1.2801E+04 1.0362E+05 3.5000E+00 -1.1100E+03 3.0626E+03 2.8482E+05
2.4030E+02 6.6177E+02 1.5018E+03 -1.2801E+04 9.9014E+04 1.7500E+00 -1.1100E+03 2.8270E+03 5.0682E+05
2.4030E+02 6.3972E+02 6.5876E+02 -1.2801E+04 9.6711E+04 1.7500E+00 -1.1100E+03 2.5914E+03 6.7637E+05
2.4030E+02 6.1766E+02 1.2209E+03 -1.2801E+04 9.4409E+04 7.0000E+00 -1.1100E+03 2.3559E+03 8.8546E+05
2.4030E+02 5.9560E+02 2.2311E+02 -1.2801E+04 9.2106E+04 1.7500E+00 -1.1100E+03 2.1203E+03 1.2222E+06
2.4030E+02 5.7354E+02 1.2780E+03 -1.2801E+04 8.5198E+04 1.2500E+00 -1.1100E+03 1.8847E+03 1.7679E+06
2.4030E+02 5.5148E+02 9.9025E+02 -1.2801E+04 8.2896E+04 3.0000E+00 -1.1100E+03 1.6491E+03 2.0479E+06
2.4030E+02 5.2942E+02 1.5915E+03 -1.2801E+04 8.0593E+04 1.2500E+00 -1.1100E+03 1.4135E+03 2.6799E+06
2.4030E+02 5.0736E+02 5.8241E+02 -1.2801E+04 7.5988E+04 1.2500E+00 -1.1100E+03 1.1779E+03 2.8106E+06
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
20/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
2.4030E+02 4.8530E+02 1.8152E+03 -1.2801E+04 7.3685E+04 1.2500E+00 -1.1100E+03 9.4234E+02 2.7864E+06
2.4030E+02 4.6324E+02 5.9390E+03 -1.2801E+04 7.1382E+04 4.0000E+01 -1.1100E+03 7.0676E+02 3.1852E+06
2.4030E+02 4.4118E+02 5.1182E+03 -1.2801E+04 6.9080E+04 1.2500E+00 -1.1100E+03 4.7117E+02 3.2713E+06
2.4030E+02 4.1912E+02 3.3690E+03 -1.2801E+04 6.4474E+04 1.2500E+00 -1.1100E+03 2.3559E+02 6.2463E+06
2.4030E+02 3.9706E+02 7.5397E+03 -1.2801E+04 6.2172E+04 1.2500E+00 -1.1100E+03 0.0000E+00 1.1758E+07
2.4030E+02 3.7501E+02 9.7451E+03 -1.2801E+04 5.9869E+04 2.5000E+00 -1.3972E+03 8.7167E+03 8.7500E+01
2.4030E+02 3.5295E+02 3.9636E+04 -1.2801E+04 5.2961E+04 1.7500E+00 -1.3972E+03 8.2455E+03 3.7500E+01
2.4030E+02 3.3089E+02 7.2485E+04 -1.2801E+04 5.0658E+04 2.5000E+00 -1.3972E+03 8.0099E+03 1.2500E+00
2.4030E+02 3.0883E+02 4.4268E+04 -1.2801E+04 4.8356E+04 3.1328E-02 -1.3972E+03 7.7743E+03 1.0417E+00
2.4030E+02 2.8677E+02 4.3636E+04 -1.2801E+04 4.6053E+04 1.9079E+00 -1.3972E+03 7.5387E+03 1.9485E+02
2.4030E+02 2.6471E+02 6.1201E+04 -1.2801E+04 4.3750E+04 2.7538E+00 -1.3972E+03 7.3032E+03 2.3302E+03
2.4030E+02 2.4265E+02 1.6442E+05 -1.2801E+04 4.1448E+04 7.5187E+00 -1.3972E+03 6.8320E+03 5.5610E+01
2.4030E+02 2.2059E+02 1.6110E+05 -1.2801E+04 3.6842E+04 1.5664E+00 -1.3972E+03 6.5964E+03 1.2500E+00
2.4030E+02 1.9853E+02 2.2417E+05 -1.2801E+04 3.4540E+04 2.1617E+00 -1.3972E+03 6.3608E+03 1.4872E+02
2.4030E+02 1.7647E+02 2.5754E+05 -1.2801E+04 3.2237E+04 2.9571E+01 -1.3972E+03 5.8896E+03 2.8213E+02
2.4030E+02 1.5441E+02 6.9131E+05 -1.2801E+04 2.9934E+04 1.3628E+01 -1.3972E+03 5.6541E+03 1.3717E+03
2.4030E+02 1.3235E+02 1.0771E+06 -1.2801E+04 2.7632E+04 3.5181E+01 -1.3972E+03 5.4185E+03 6.6376E+02
2.4030E+02 1.1030E+02 1.9439E+06 -1.2801E+04 2.5329E+04 2.0489E+01 -1.3972E+03 5.1829E+03 1.1964E+02
2.4030E+02 8.8237E+01 3.6467E+06 -1.2801E+04 2.3027E+04 6.7418E+01 -1.3972E+03 4.9473E+03 2.9654E+03
2.4030E+02 6.6177E+01 5.4095E+06 -1.2801E+04 2.0724E+04 7.8252E+03 -1.3972E+03 4.7117E+03 2.7672E+03
2.4030E+02 4.4118E+01 7.2118E+06 -1.2801E+04 1.8421E+04 3.4400E+04 -1.3972E+03 4.4761E+03 6.7387E+03
2.4030E+02 2.2059E+01 7.0701E+06 -1.2801E+04 1.6119E+04 3.8122E+04 -1.3972E+03 4.2405E+03 5.8134E+03
2.4030E+02 0.0000E+00 4.0524E+06 -1.2801E+04 1.3816E+04 1.5964E+04 -1.3972E+03 4.0050E+03 1.6556E+04
2.1628E+02 9.0443E+02 1.1667E+01 -1.2801E+04 1.1513E+04 3.1459E+04 -1.3972E+03 3.7694E+03 2.9663E+04
2.1628E+02 8.3825E+02 1.2500E+00 -1.2801E+04 9.2106E+03 3.1858E+04 -1.3972E+03 3.5338E+03 8.5657E+04
2.1628E+02 8.1619E+02 1.2500E+00 -1.2801E+04 6.9080E+03 7.9710E+04 -1.3972E+03 3.2982E+03 1.2038E+05
2.1628E+02 7.9413E+02 3.7500E+01 -1.2801E+04 4.6053E+03 1.4657E+06 -1.3972E+03 3.0626E+03 1.4214E+05
2.1628E+02 7.7207E+02 7.0833E+01 -1.2801E+04 2.3027E+03 1.0777E+07 -1.3972E+03 2.8270E+03 1.8142E+05
2.1628E+02 7.5001E+02 5.2085E+00 -1.2801E+04 0.0000E+00 2.8395E+07 -1.3972E+03 2.5914E+03 3.2667E+05
2.1628E+02 7.2795E+02 7.6250E+01 -1.5263E+04 1.0822E+05 1.7500E+00 -1.3972E+03 2.3559E+03 4.4713E+05
2.1628E+02 7.0589E+02 1.0417E+00 -1.5263E+04 1.0592E+05 1.7500E+00 -1.3972E+03 2.1203E+03 6.1438E+05
2.1628E+02 6.8383E+02 5.6860E+01 -1.5263E+04 1.0362E+05 1.7500E+00 -1.3972E+03 1.8847E+03 1.0010E+06
2.1628E+02 6.6177E+02 1.4583E+01 -1.5263E+04 1.0132E+05 3.5000E+00 -1.3972E+03 1.6491E+03 1.1988E+06
2.1628E+02 6.3972E+02 1.0417E+00 -1.5263E+04 9.9014E+04 1.2167E+01 -1.3972E+03 1.4135E+03 1.4060E+06
2.1628E+02 5.9560E+02 1.0417E+00 -1.5263E+04 9.6711E+04 5.2500E+00 -1.3972E+03 1.1779E+03 1.5587E+06
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
21/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
2.1628E+02 5.7354E+02 4.9401E+02 -1.5263E+04 9.4409E+04 8.7085E+00 -1.3972E+03 9.4234E+02 1.6324E+06
2.1628E+02 5.2942E+02 1.0698E+03 -1.5263E+04 9.2106E+04 1.7500E+00 -1.3972E+03 7.0676E+02 1.8246E+06
2.1628E+02 5.0736E+02 3.1250E+00 -1.5263E+04 8.2896E+04 3.7500E+01 -1.3972E+03 4.7117E+02 1.8987E+06
2.1628E+02 4.8530E+02 3.9098E+02 -1.5263E+04 8.0593E+04 3.5000E+00 -1.3972E+03 2.3559E+02 3.9988E+06
2.1628E+02 4.6324E+02 5.5785E+02 -1.5263E+04 7.8290E+04 1.2500E+00 -1.3972E+03 0.0000E+00 7.7133E+06
2.1628E+02 4.4118E+02 4.4172E+00 -1.5263E+04 7.5988E+04 1.2500E+00 -1.6845E+03 9.8946E+03 1.2500E+00
2.1628E+02 4.1912E+02 1.5353E+03 -1.5263E+04 7.3685E+04 1.2500E+00 -1.6845E+03 8.7167E+03 2.5000E+00
2.1628E+02 3.9706E+02 8.8960E+02 -1.5263E+04 7.1382E+04 4.3000E+01 -1.6845E+03 8.2455E+03 5.6860E+01
2.1628E+02 3.7501E+02 3.3258E+03 -1.5263E+04 6.9080E+04 1.2500E+00 -1.6845E+03 7.5387E+03 1.2500E+00
2.1628E+02 3.5295E+02 3.4603E+03 -1.5263E+04 6.6777E+04 3.8750E+01 -1.6845E+03 7.3032E+03 1.0417E+00
2.1628E+02 3.3089E+02 2.2594E+04 -1.5263E+04 5.9869E+04 1.2500E+00 -1.6845E+03 7.0676E+03 1.2500E+00
2.1628E+02 3.0883E+02 1.1733E+04 -1.5263E+04 5.5264E+04 2.5940E+00 -1.6845E+03 6.5964E+03 9.5207E+01
2.1628E+02 2.8677E+02 2.4480E+04 -1.5263E+04 5.0658E+04 1.8797E-01 -1.6845E+03 6.3608E+03 5.6860E+01
2.1628E+02 2.6471E+02 3.9779E+04 -1.5263E+04 4.8356E+04 9.3985E-02 -1.6845E+03 5.8896E+03 5.5610E+01
2.1628E+02 2.4265E+02 9.2696E+04 -1.5263E+04 4.6053E+04 1.8797E-01 -1.6845E+03 5.6541E+03 2.2917E+00
2.1628E+02 2.2059E+02 9.5846E+04 -1.5263E+04 4.1448E+04 1.0338E+00 -1.6845E+03 5.4185E+03 2.8388E+02
2.1628E+02 1.9853E+02 1.1076E+05 -1.5263E+04 3.9145E+04 1.4724E+00 -1.6845E+03 5.1829E+03 4.1250E+01
2.1628E+02 1.7647E+02 1.0262E+05 -1.5263E+04 3.6842E+04 1.8797E-01 -1.6845E+03 4.9473E+03 2.2988E+03
2.1628E+02 1.5441E+02 2.1858E+05 -1.5263E+04 3.4540E+04 4.2450E+00 -1.6845E+03 4.7117E+03 3.7500E+00
2.1628E+02 1.3235E+02 5.2200E+05 -1.5263E+04 3.2237E+04 4.3860E+00 -1.6845E+03 4.4761E+03 4.3551E+03
2.1628E+02 1.1030E+02 1.0235E+06 -1.5263E+04 2.9934E+04 3.4279E+02 -1.6845E+03 4.2405E+03 2.5260E+03
2.1628E+02 8.8237E+01 2.2632E+06 -1.5263E+04 2.7632E+04 1.6530E+02 -1.6845E+03 4.0050E+03 1.3107E+04
2.1628E+02 6.6177E+01 4.9564E+06 -1.5263E+04 2.5329E+04 9.4298E+00 -1.6845E+03 3.7694E+03 8.2948E+03
2.1628E+02 4.4118E+01 6.7161E+06 -1.5263E+04 2.3027E+04 1.5630E+04 -1.6845E+03 3.5338E+03 1.5844E+04
2.1628E+02 2.2059E+01 8.0646E+06 -1.5263E+04 2.0724E+04 1.5514E+04 -1.6845E+03 3.2982E+03 3.5894E+04
2.1628E+02 0.0000E+00 4.1052E+06 -1.5263E+04 1.8421E+04 7.9225E+03 -1.6845E+03 3.0626E+03 2.3352E+04
1.9226E+02 9.9266E+02 5.2085E+00 -1.5263E+04 1.6119E+04 2.3199E+04 -1.6845E+03 2.8270E+03 4.8532E+04
1.9226E+02 8.6031E+02 6.4585E+00 -1.5263E+04 1.3816E+04 7.9344E+03 -1.6845E+03 2.5914E+03 1.3258E+05
1.9226E+02 8.3825E+02 3.5083E+01 -1.5263E+04 1.1513E+04 6.2605E+04 -1.6845E+03 2.3559E+03 1.1620E+05
1.9226E+02 8.1619E+02 1.7500E+00 -1.5263E+04 9.2106E+03 1.2753E+04 -1.6845E+03 2.1203E+03 2.6728E+05
1.9226E+02 7.5001E+02 1.2500E+00 -1.5263E+04 6.9080E+03 1.3663E+05 -1.6845E+03 1.8847E+03 4.0464E+05
1.9226E+02 7.2795E+02 3.6875E+01 -1.5263E+04 4.6053E+03 1.2713E+06 -1.6845E+03 1.6491E+03 5.4361E+05
1.9226E+02 7.0589E+02 2.5000E+00 -1.5263E+04 2.3027E+03 8.9006E+06 -1.6845E+03 1.4135E+03 5.9786E+05
1.9226E+02 6.8383E+02 3.7500E+01 -1.5263E+04 0.0000E+00 2.0150E+07 -1.6845E+03 1.1779E+03 7.3597E+05
1.9226E+02 6.6177E+02 6.2501E+00 -1.7724E+04 1.0592E+05 3.7500E+01 -1.6845E+03 9.4234E+02 8.1453E+05
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
22/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
1.9226E+02 6.3972E+02 2.2917E+00 -1.7724E+04 1.0362E+05 4.1000E+01 -1.6845E+03 7.0676E+02 6.8888E+05
1.9226E+02 5.9560E+02 1.2500E+00 -1.7724E+04 1.0132E+05 1.7500E+00 -1.6845E+03 4.7117E+02 8.0996E+05
1.9226E+02 5.7354E+02 3.1250E+00 -1.7724E+04 9.9014E+04 5.2500E+00 -1.6845E+03 2.3559E+02 2.1233E+06
1.9226E+02 5.5148E+02 8.5509E+01 -1.7724E+04 9.6711E+04 1.0417E+01 -1.6845E+03 0.0000E+00 4.2167E+06
1.9226E+02 5.2942E+02 2.0833E+00 -1.7724E+04 9.4409E+04 1.0417E+01 -1.9717E+03 9.1878E+03 3.7500E+01
1.9226E+02 5.0736E+02 2.2713E+00 -1.7724E+04 9.2106E+04 1.7500E+00 -1.9717E+03 8.9523E+03 1.2500E+00
1.9226E+02 4.8530E+02 2.0833E+00 -1.7724E+04 8.5198E+04 5.2085E+00 -1.9717E+03 8.7167E+03 1.2500E+00
1.9226E+02 4.6324E+02 1.6001E+01 -1.7724E+04 8.2896E+04 1.2500E+00 -1.9717E+03 7.5387E+03 1.2500E+01
1.9226E+02 4.4118E+02 3.9680E+02 -1.7724E+04 8.0593E+04 1.2500E+00 -1.9717E+03 7.0676E+03 1.2500E+00
1.9226E+02 4.1912E+02 8.2765E+02 -1.7724E+04 7.8290E+04 1.2500E+00 -1.9717E+03 6.5964E+03 1.7500E+00
1.9226E+02 3.9706E+02 3.9270E+02 -1.7724E+04 7.3685E+04 4.0000E+01 -1.9717E+03 6.3608E+03 1.2500E+00
1.9226E+02 3.7501E+02 3.3756E+02 -1.7724E+04 6.4474E+04 3.7500E+01 -1.9717E+03 6.1252E+03 1.2500E+00
1.9226E+02 3.5295E+02 4.1730E+03 -1.7724E+04 6.2172E+04 2.5000E+00 -1.9717E+03 5.8896E+03 1.2500E+00
1.9226E+02 3.3089E+02 2.5246E+03 -1.7724E+04 5.9869E+04 5.2500E+01 -1.9717E+03 5.6541E+03 1.2500E+01
1.9226E+02 3.0883E+02 2.2263E+03 -1.7724E+04 5.5264E+04 1.2500E+01 -1.9717E+03 5.4185E+03 1.2500E+00
1.9226E+02 2.8677E+02 4.1112E+03 -1.7724E+04 5.0658E+04 9.3985E-02 -1.9717E+03 5.1829E+03 2.5000E+00
1.9226E+02 2.6471E+02 6.1157E+03 -1.7724E+04 4.8356E+04 1.8797E-01 -1.9717E+03 4.7117E+03 2.5000E+00
1.9226E+02 2.4265E+02 1.2027E+04 -1.7724E+04 4.6053E+04 6.2656E-02 -1.9717E+03 4.4761E+03 8.3333E+00
1.9226E+02 2.2059E+02 2.9157E+04 -1.7724E+04 4.3750E+04 9.3985E-02 -1.9717E+03 4.2405E+03 2.2489E+03
1.9226E+02 1.9853E+02 1.9057E+04 -1.7724E+04 4.1448E+04 2.5063E-01 -1.9717E+03 4.0050E+03 1.3706E+03
1.9226E+02 1.7647E+02 6.1666E+04 -1.7724E+04 3.9145E+04 6.2656E-02 -1.9717E+03 3.7694E+03 8.9892E+03
1.9226E+02 1.5441E+02 1.4346E+05 -1.7724E+04 3.6842E+04 1.0636E+01 -1.9717E+03 3.5338E+03 9.3906E+03
1.9226E+02 1.3235E+02 1.8094E+05 -1.7724E+04 3.4540E+04 2.8196E-01 -1.9717E+03 3.2982E+03 5.6901E+03
1.9226E+02 1.1030E+02 5.4688E+05 -1.7724E+04 3.2237E+04 1.6566E+02 -1.9717E+03 3.0626E+03 8.7755E+03
1.9226E+02 8.8237E+01 1.2189E+06 -1.7724E+04 2.9934E+04 3.7594E-01 -1.9717E+03 2.8270E+03 2.5451E+04
1.9226E+02 6.6177E+01 3.6392E+06 -1.7724E+04 2.7632E+04 2.9605E+01 -1.9717E+03 2.5914E+03 5.2499E+04
1.9226E+02 4.4118E+01 5.7137E+06 -1.7724E+04 2.5329E+04 1.6673E+02 -1.9717E+03 2.3559E+03 6.6651E+04
1.9226E+02 2.2059E+01 7.5864E+06 -1.7724E+04 2.3027E+04 3.3037E+02 -1.9717E+03 2.1203E+03 1.1761E+05
1.9226E+02 0.0000E+00 4.7746E+06 -1.7724E+04 2.0724E+04 1.7168E+01 -1.9717E+03 1.8847E+03 1.5031E+05
1.6824E+02 1.0368E+03 1.7500E+00 -1.7724E+04 1.8421E+04 1.5805E+04 -1.9717E+03 1.6491E+03 2.5879E+05
1.6824E+02 9.4854E+02 8.0208E+01 -1.7724E+04 1.6119E+04 7.7360E+03 -1.9717E+03 1.4135E+03 3.4485E+05
1.6824E+02 9.2648E+02 3.5000E+00 -1.7724E+04 1.3816E+04 2.4529E+02 -1.9717E+03 1.1779E+03 2.0182E+05
1.6824E+02 9.0443E+02 5.2500E+00 -1.7724E+04 1.1513E+04 8.4680E+03 -1.9717E+03 9.4234E+02 3.6976E+05
1.6824E+02 8.8237E+02 4.1750E+01 -1.7724E+04 9.2106E+03 2.4350E+03 -1.9717E+03 7.0676E+02 2.1927E+05
1.6824E+02 8.6031E+02 2.5000E+00 -1.7724E+04 6.9080E+03 9.6776E+04 -1.9717E+03 4.7117E+02 3.5658E+05
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
23/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
1.6824E+02 7.9413E+02 1.2500E+00 -1.7724E+04 4.6053E+03 1.4309E+06 -1.9717E+03 2.3559E+02 7.5591E+05
1.6824E+02 7.2795E+02 1.2500E+00 -1.7724E+04 2.3027E+03 9.1594E+06 -1.9717E+03 0.0000E+00 2.2525E+06
1.6824E+02 7.0589E+02 2.5000E+00 -1.7724E+04 0.0000E+00 1.8361E+07 -2.2590E+03 8.0099E+03 1.2500E+00
1.6824E+02 6.8383E+02 1.2500E+00 -2.0186E+04 1.0132E+05 4.4458E+01 -2.2590E+03 6.5964E+03 3.7500E+01
1.6824E+02 5.2942E+02 2.0834E+01 -2.0186E+04 9.9014E+04 1.7500E+00 -2.2590E+03 6.3608E+03 1.2500E+00
1.6824E+02 5.0736E+02 1.0417E+01 -2.0186E+04 9.6711E+04 1.7500E+00 -2.2590E+03 5.8896E+03 3.7500E+00
1.6824E+02 4.8530E+02 1.0448E+01 -2.0186E+04 9.4409E+04 1.7500E+00 -2.2590E+03 5.6541E+03 2.5000E+00
1.6824E+02 4.6324E+02 1.2500E+01 -2.0186E+04 9.2106E+04 3.5000E+00 -2.2590E+03 5.4185E+03 1.6750E+01
1.6824E+02 4.4118E+02 3.4931E+00 -2.0186E+04 7.3685E+04 1.2500E+00 -2.2590E+03 5.1829E+03 1.1247E+02
1.6824E+02 4.1912E+02 8.5252E+01 -2.0186E+04 6.9080E+04 2.5000E+00 -2.2590E+03 4.2405E+03 2.0833E+00
1.6824E+02 3.9706E+02 1.6673E+02 -2.0186E+04 6.2172E+04 1.2531E-01 -2.2590E+03 4.0050E+03 2.5000E+00
1.6824E+02 3.7501E+02 1.0049E+02 -2.0186E+04 5.9869E+04 1.2813E+00 -2.2590E+03 3.7694E+03 5.4591E+02
1.6824E+02 3.5295E+02 1.8574E+02 -2.0186E+04 5.7566E+04 1.2500E+00 -2.2590E+03 3.5338E+03 1.0480E+03
1.6824E+02 3.3089E+02 6.5416E+02 -2.0186E+04 5.0658E+04 1.6437E+02 -2.2590E+03 3.2982E+03 1.0364E+03
1.6824E+02 3.0883E+02 1.5959E+03 -2.0186E+04 4.8356E+04 6.2656E-02 -2.2590E+03 3.0626E+03 3.4161E+03
1.6824E+02 2.8677E+02 1.8958E+03 -2.0186E+04 4.3750E+04 1.1043E+00 -2.2590E+03 2.8270E+03 2.8458E+03
1.6824E+02 2.6471E+02 5.8556E+03 -2.0186E+04 4.1448E+04 2.0834E+01 -2.2590E+03 2.5914E+03 2.3060E+04
1.6824E+02 2.4265E+02 2.2926E+03 -2.0186E+04 3.9145E+04 1.8797E-01 -2.2590E+03 2.3559E+03 2.5063E+04
1.6824E+02 2.2059E+02 1.2574E+04 -2.0186E+04 3.6842E+04 1.8797E-01 -2.2590E+03 2.1203E+03 1.0287E+04
1.6824E+02 1.9853E+02 1.8728E+04 -2.0186E+04 3.4540E+04 2.1022E+01 -2.2590E+03 1.8847E+03 6.8357E+04
1.6824E+02 1.7647E+02 8.0043E+03 -2.0186E+04 2.9934E+04 6.3126E+00 -2.2590E+03 1.6491E+03 8.7964E+04
1.6824E+02 1.5441E+02 8.9196E+03 -2.0186E+04 2.7632E+04 2.1460E+00 -2.2590E+03 1.4135E+03 1.3047E+05
1.6824E+02 1.3235E+02 4.4682E+04 -2.0186E+04 2.5329E+04 1.6573E+02 -2.2590E+03 1.1779E+03 7.7201E+04
1.6824E+02 1.1030E+02 3.0732E+05 -2.0186E+04 2.3027E+04 2.2713E+00 -2.2590E+03 9.4234E+02 1.3202E+05
1.6824E+02 8.8237E+01 9.7140E+05 -2.0186E+04 2.0724E+04 1.8006E+02 -2.2590E+03 7.0676E+02 9.1376E+04
1.6824E+02 6.6177E+01 4.3643E+06 -2.0186E+04 1.8421E+04 8.9771E+03 -2.2590E+03 4.7117E+02 1.6247E+05
1.6824E+02 4.4118E+01 8.5610E+06 -2.0186E+04 1.6119E+04 3.3778E+02 -2.2590E+03 2.3559E+02 3.3348E+05
1.6824E+02 2.2059E+01 1.1902E+07 -2.0186E+04 1.3816E+04 4.5483E+02 -2.2590E+03 0.0000E+00 9.1561E+05
1.6824E+02 0.0000E+00 6.5795E+06 -2.0186E+04 1.1513E+04 2.2830E+03 -2.5463E+03 9.6590E+03 1.2500E+00
1.4422E+02 9.7060E+02 6.9585E+00 -2.0186E+04 9.2106E+03 3.0185E+04 -2.5463E+03 7.5387E+03 1.2500E+00
1.4422E+02 9.4854E+02 1.7500E+00 -2.0186E+04 6.9080E+03 6.4403E+04 -2.5463E+03 7.0676E+03 2.5000E+00
1.4422E+02 9.2648E+02 8.7085E+00 -2.0186E+04 4.6053E+03 1.0773E+06 -2.5463E+03 6.5964E+03 1.2500E+00
1.4422E+02 9.0443E+02 5.2500E+00 -2.0186E+04 2.3027E+03 8.9841E+06 -2.5463E+03 5.8896E+03 3.3333E+01
1.4422E+02 8.8237E+02 6.9585E+00 -2.0186E+04 0.0000E+00 1.4128E+07 -2.5463E+03 5.6541E+03 3.3333E+01
1.4422E+02 8.6031E+02 2.5000E+00 -2.2648E+04 8.9803E+04 5.2085E+00 -2.5463E+03 5.4185E+03 1.7500E+00
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
24/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
1.4422E+02 8.3825E+02 7.7085E+00 -2.2648E+04 8.7501E+04 3.3333E+01 -2.5463E+03 5.1829E+03 4.2500E+00
1.4422E+02 8.1619E+02 2.5000E+00 -2.2648E+04 6.9080E+04 5.2085E+00 -2.5463E+03 4.4761E+03 2.5000E+00
1.4422E+02 7.9413E+02 4.0000E+01 -2.2648E+04 6.2172E+04 1.2500E+00 -2.5463E+03 4.2405E+03 1.1122E+02
1.4422E+02 7.7207E+02 5.2085E+00 -2.2648E+04 5.9869E+04 8.1665E+01 -2.5463E+03 4.0050E+03 2.5000E+00
1.4422E+02 7.5001E+02 3.9250E+01 -2.2648E+04 5.5264E+04 1.2500E+01 -2.5463E+03 3.7694E+03 2.5000E+00
1.4422E+02 6.8383E+02 1.2500E+00 -2.2648E+04 5.2961E+04 1.0875E+02 -2.5463E+03 3.2982E+03 1.1122E+02
1.4422E+02 6.6177E+02 2.5000E+00 -2.2648E+04 5.0658E+04 8.1665E+01 -2.5463E+03 3.0626E+03 4.6177E+02
1.4422E+02 6.3972E+02 1.7500E+00 -2.2648E+04 4.8356E+04 1.1500E+02 -2.5463E+03 2.8270E+03 5.0299E+02
1.4422E+02 6.1766E+02 1.2500E+00 -2.2648E+04 4.6053E+04 1.7083E+02 -2.5463E+03 2.5914E+03 5.6258E+02
1.4422E+02 5.7354E+02 1.2500E+00 -2.2648E+04 4.1448E+04 1.8797E-01 -2.5463E+03 2.3559E+03 4.9841E+02
1.4422E+02 5.5148E+02 1.2500E+00 -2.2648E+04 3.9145E+04 1.0605E+01 -2.5463E+03 2.1203E+03 1.4644E+04
1.4422E+02 5.2942E+02 1.2500E+00 -2.2648E+04 3.6842E+04 4.1666E+00 -2.5463E+03 1.8847E+03 1.6835E+04
1.4422E+02 5.0736E+02 4.6648E+00 -2.2648E+04 3.4540E+04 1.7896E+02 -2.5463E+03 1.6491E+03 1.7735E+03
1.4422E+02 4.6324E+02 1.2500E+00 -2.2648E+04 2.9934E+04 1.6541E+02 -2.5463E+03 1.4135E+03 4.7867E+04
1.4422E+02 4.4118E+02 5.8943E+01 -2.2648E+04 2.7632E+04 4.1666E+00 -2.5463E+03 1.1779E+03 1.0700E+04
1.4422E+02 4.1912E+02 1.2917E+01 -2.2648E+04 2.5329E+04 4.1666E+00 -2.5463E+03 9.4234E+02 6.7470E+04
1.4422E+02 3.9706E+02 2.1574E+02 -2.2648E+04 2.3027E+04 1.7121E+02 -2.5463E+03 7.0676E+02 2.2148E+04
1.4422E+02 3.7501E+02 3.2515E+02 -2.2648E+04 2.0724E+04 6.7681E+02 -2.5463E+03 4.7117E+02 5.2373E+04
1.4422E+02 3.5295E+02 9.4353E+01 -2.2648E+04 1.8421E+04 9.9011E+02 -2.5463E+03 2.3559E+02 1.7385E+05
1.4422E+02 3.3089E+02 1.1042E+03 -2.2648E+04 1.6119E+04 5.0828E+02 -2.5463E+03 0.0000E+00 2.6524E+05
1.4422E+02 3.0883E+02 2.8897E+02 -2.2648E+04 1.3816E+04 1.8545E+04 -2.8335E+03 1.0837E+04 1.2500E+00
1.4422E+02 2.8677E+02 7.2677E+02 -2.2648E+04 1.1513E+04 1.3839E+04 -2.8335E+03 7.5387E+03 3.7500E+01
1.4422E+02 2.6471E+02 1.3520E+03 -2.2648E+04 9.2106E+03 4.9862E+04 -2.8335E+03 7.3032E+03 2.5000E+00
1.4422E+02 2.4265E+02 9.8282E+03 -2.2648E+04 6.9080E+03 1.2687E+05 -2.8335E+03 7.0676E+03 1.2500E+00
1.4422E+02 2.2059E+02 1.6882E+03 -2.2648E+04 4.6053E+03 1.0125E+06 -2.8335E+03 6.1252E+03 2.5000E+00
1.4422E+02 1.9853E+02 8.9863E+03 -2.2648E+04 2.3027E+03 6.7375E+06 -2.8335E+03 4.4761E+03 2.5000E+00
1.4422E+02 1.7647E+02 2.0143E+04 -2.2648E+04 0.0000E+00 9.9034E+06 -2.8335E+03 4.2405E+03 2.5000E+00
1.4422E+02 1.5441E+02 2.1972E+04 -2.5110E+04 9.2106E+04 5.2085E+00 -2.8335E+03 4.0050E+03 2.5000E+00
1.4422E+02 1.3235E+02 1.4063E+04 -2.5110E+04 8.9803E+04 6.9585E+00 -2.8335E+03 3.7694E+03 1.1122E+02
1.4422E+02 1.1030E+02 1.9199E+05 -2.5110E+04 8.2896E+04 3.3333E+01 -2.8335E+03 3.5338E+03 2.5000E+00
1.4422E+02 8.8237E+01 9.7706E+05 -2.5110E+04 8.0593E+04 3.3333E+01 -2.8335E+03 3.2982E+03 2.5000E+00
1.4422E+02 6.6177E+01 3.8940E+06 -2.5110E+04 6.4474E+04 3.3333E+01 -2.8335E+03 2.8270E+03 2.5000E+01
1.4422E+02 4.4118E+01 1.0010E+07 -2.5110E+04 5.9869E+04 1.2500E+00 -2.8335E+03 2.5914E+03 1.4583E+01
1.4422E+02 2.2059E+01 1.5991E+07 -2.5110E+04 5.7566E+04 1.0417E+00 -2.8335E+03 2.3559E+03 2.0833E+00
1.4422E+02 0.0000E+00 9.4047E+06 -2.5110E+04 5.5264E+04 1.2500E+01 -2.8335E+03 2.1203E+03 4.8969E+02
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
25/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
1.2020E+02 1.0368E+03 3.5000E+00 -2.5110E+04 5.2961E+04 9.3985E-02 -2.8335E+03 1.8847E+03 6.7406E+03
1.2020E+02 9.9266E+02 1.7500E+00 -2.5110E+04 4.6053E+04 1.0417E+00 -2.8335E+03 1.6491E+03 4.9915E+03
1.2020E+02 9.7060E+02 1.7500E+00 -2.5110E+04 4.3750E+04 2.0833E+00 -2.8335E+03 1.4135E+03 1.3091E+04
1.2020E+02 9.4854E+02 1.9125E+01 -2.5110E+04 3.9145E+04 2.0833E+00 -2.8335E+03 1.1779E+03 6.7598E+03
1.2020E+02 9.2648E+02 7.9750E+01 -2.5110E+04 3.4540E+04 8.7987E+03 -2.8335E+03 9.4234E+02 2.3844E+02
1.2020E+02 9.0443E+02 1.7500E+00 -2.5110E+04 3.2237E+04 1.8797E-01 -2.8335E+03 7.0676E+02 3.6305E+03
1.2020E+02 8.8237E+02 1.5958E+01 -2.5110E+04 2.9934E+04 8.9645E+03 -2.8335E+03 4.7117E+02 1.0144E+04
1.2020E+02 8.6031E+02 4.2500E+00 -2.5110E+04 2.7632E+04 8.8007E+03 -2.8335E+03 2.3559E+02 7.7349E+04
1.2020E+02 8.3825E+02 1.2500E+00 -2.5110E+04 2.5329E+04 9.1212E+03 -2.8335E+03 0.0000E+00 1.1823E+05
1.2020E+02 7.7207E+02 6.7500E+00 -2.5110E+04 2.3027E+04 2.6448E+04 -3.1208E+03 8.0099E+03 1.2500E+00
1.2020E+02 6.3972E+02 1.2500E+00 -2.5110E+04 2.0724E+04 8.0145E+04 -3.1208E+03 3.5338E+03 2.5000E+00
1.2020E+02 5.0736E+02 5.1648E+00 -2.5110E+04 1.8421E+04 1.7761E+04 -3.1208E+03 3.2982E+03 2.5000E+00
1.2020E+02 4.8530E+02 1.2500E+00 -2.5110E+04 1.6119E+04 9.4254E+03 -3.1208E+03 3.0626E+03 5.0000E+00
1.2020E+02 4.6324E+02 3.7500E+01 -2.5110E+04 1.3816E+04 2.2492E+04 -3.1208E+03 2.8270E+03 7.5000E+00
1.2020E+02 4.4118E+02 5.4981E+00 -2.5110E+04 1.1513E+04 5.7674E+04 -3.1208E+03 2.5914E+03 3.5000E+00
1.2020E+02 4.1912E+02 8.1250E+01 -2.5110E+04 9.2106E+03 9.2168E+04 -3.1208E+03 2.3559E+03 7.1667E+01
1.2020E+02 3.9706E+02 7.1739E+01 -2.5110E+04 6.9080E+03 3.3212E+05 -3.1208E+03 2.1203E+03 6.2500E+00
1.2020E+02 3.7501E+02 1.7472E+01 -2.5110E+04 4.6053E+03 1.5419E+06 -3.1208E+03 1.8847E+03 9.8884E+02
1.2020E+02 3.5295E+02 1.0532E+02 -2.5110E+04 2.3027E+03 8.4414E+06 -3.1208E+03 1.6491E+03 2.5000E+00
1.2020E+02 3.3089E+02 1.6881E+02 -2.5110E+04 0.0000E+00 9.6320E+06 -3.1208E+03 1.4135E+03 2.7500E+01
1.2020E+02 3.0883E+02 1.3614E+02 -2.7571E+04 8.0593E+04 5.2085E+00 -3.1208E+03 1.1779E+03 6.0665E+02
1.2020E+02 2.8677E+02 2.8199E+02 -2.7571E+04 7.8290E+04 5.2085E+00 -3.1208E+03 9.4234E+02 3.5000E+00
1.2020E+02 2.6471E+02 6.3714E+02 -2.7571E+04 7.5988E+04 3.8542E+01 -3.1208E+03 7.0676E+02 2.1580E+02
1.2020E+02 2.4265E+02 5.6663E+02 -2.7571E+04 5.7566E+04 2.0833E+00 -3.1208E+03 4.7117E+02 3.7308E+03
1.2020E+02 2.2059E+02 8.8270E+03 -2.7571E+04 5.0658E+04 1.1226E+02 -3.1208E+03 2.3559E+02 1.2020E+04
1.2020E+02 1.9853E+02 2.8376E+04 -2.7571E+04 4.8356E+04 1.0417E+00 -3.1208E+03 0.0000E+00 5.5458E+04
1.2020E+02 1.7647E+02 6.4486E+04 -2.7571E+04 4.6053E+04 4.9297E+02 -3.4080E+03 3.2982E+03 5.0000E+00
1.2020E+02 1.5441E+02 4.3932E+04 -2.7571E+04 4.3750E+04 3.1250E+00 -3.4080E+03 3.0626E+03 5.5610E+01
1.2020E+02 1.3235E+02 6.2245E+04 -2.7571E+04 4.1448E+04 5.6840E+01 -3.4080E+03 2.8270E+03 8.2500E+01
1.2020E+02 1.1030E+02 1.2421E+05 -2.7571E+04 3.9145E+04 8.7955E+03 -3.4080E+03 2.5914E+03 1.4167E+02
1.2020E+02 8.8237E+01 7.4644E+05 -2.7571E+04 3.6842E+04 2.8117E+02 -3.4080E+03 2.3559E+03 6.6667E+01
1.2020E+02 6.6177E+01 3.3079E+06 -2.7571E+04 3.4540E+04 1.8300E+04 -3.4080E+03 2.1203E+03 2.7500E+01
1.2020E+02 4.4118E+01 9.8956E+06 -2.7571E+04 3.2237E+04 1.7705E+04 -3.4080E+03 1.8847E+03 2.5000E+00
1.2020E+02 2.2059E+01 1.8768E+07 -2.7571E+04 2.9934E+04 9.0740E+03 -3.4080E+03 1.6491E+03 2.5000E+00
1.2020E+02 0.0000E+00 1.2283E+07 -2.7571E+04 2.7632E+04 1.0522E+03 -3.4080E+03 1.4135E+03 5.0000E+00
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
26/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
9.6185E+01 1.1030E+03 1.7500E+00 -2.7571E+04 2.5329E+04 4.2708E+02 -3.4080E+03 1.1779E+03 2.0833E+00
9.6185E+01 1.0368E+03 6.9585E+00 -2.7571E+04 2.3027E+04 2.7580E+04 -3.4080E+03 9.4234E+02 4.5833E+00
9.6185E+01 1.0147E+03 3.5000E+00 -2.7571E+04 2.0724E+04 1.9895E+04 -3.4080E+03 7.0676E+02 2.5000E+00
9.6185E+01 9.7060E+02 1.7500E+00 -2.7571E+04 1.8421E+04 3.3229E+03 -3.4080E+03 4.7117E+02 4.9549E+02
9.6185E+01 9.2648E+02 1.7500E+00 -2.7571E+04 1.6119E+04 2.9693E+04 -3.4080E+03 2.3559E+02 6.3110E+01
9.6185E+01 9.0443E+02 1.7500E+00 -2.7571E+04 1.3816E+04 1.0681E+04 -3.4080E+03 0.0000E+00 3.5623E+04
9.6185E+01 8.8237E+02 4.7500E+00 -2.7571E+04 1.1513E+04 3.2617E+04 -3.6953E+03 1.1779E+04 1.2500E+00
9.6185E+01 8.6031E+02 3.5000E+00 -2.7571E+04 9.2106E+03 1.5549E+05 -3.6953E+03 9.1878E+03 1.2500E+00
9.6185E+01 8.1619E+02 1.7500E+00 -2.7571E+04 6.9080E+03 5.1688E+05 -3.6953E+03 4.7117E+03 5.0000E+00
9.6185E+01 7.7207E+02 3.5000E+00 -2.7571E+04 4.6053E+03 2.5397E+06 -3.6953E+03 2.8270E+03 2.5000E+00
9.6185E+01 7.2795E+02 1.7500E+00 -2.7571E+04 2.3027E+03 9.4271E+06 -3.6953E+03 2.3559E+03 2.5000E+00
9.6185E+01 7.0589E+02 1.2500E+00 -2.7571E+04 0.0000E+00 1.0389E+07 -3.6953E+03 2.1203E+03 2.5000E+00
9.6185E+01 6.3972E+02 2.5000E+00 -3.0033E+04 5.9869E+04 1.0417E+00 -3.6953E+03 1.8847E+03 2.5000E+00
9.6185E+01 5.5148E+02 2.5000E+00 -3.0033E+04 5.2961E+04 2.0833E+00 -3.6953E+03 1.6491E+03 2.5000E+00
9.6185E+01 5.2942E+02 2.5000E+00 -3.0033E+04 5.0658E+04 1.9214E+02 -3.6953E+03 1.4135E+03 2.5000E+00
9.6185E+01 5.0736E+02 1.2500E+00 -3.0033E+04 4.8356E+04 2.8013E+02 -3.6953E+03 1.1779E+03 3.5000E+00
9.6185E+01 4.6324E+02 4.5915E+01 -3.0033E+04 4.6053E+04 7.7583E+02 -3.6953E+03 7.0676E+02 1.0000E+02
9.6185E+01 4.4118E+02 7.7500E+01 -3.0033E+04 4.3750E+04 2.1461E+03 -3.6953E+03 4.7117E+02 1.1472E+02
9.6185E+01 4.1912E+02 1.2500E+00 -3.0033E+04 4.1448E+04 9.7890E+03 -3.6953E+03 2.3559E+02 3.8469E+02
9.6185E+01 3.9706E+02 5.3659E+01 -3.0033E+04 3.9145E+04 2.7534E+03 -3.6953E+03 0.0000E+00 1.4919E+03
9.6185E+01 3.7501E+02 1.1250E+01 -3.0033E+04 3.6842E+04 2.4385E+03 -3.9825E+03 1.1308E+04 1.2500E+00
9.6185E+01 3.5295E+02 2.3933E+02 -3.0033E+04 3.4540E+04 2.1721E+04 -3.9825E+03 3.5338E+03 2.5000E+00
9.6185E+01 3.3089E+02 5.6667E+01 -3.0033E+04 3.2237E+04 2.3468E+04 -3.9825E+03 3.2982E+03 2.5000E+00
9.6185E+01 3.0883E+02 1.9708E+02 -3.0033E+04 2.9934E+04 2.0662E+04 -3.9825E+03 2.5914E+03 2.5000E+00
9.6185E+01 2.8677E+02 1.7085E+02 -3.0033E+04 2.7632E+04 2.1823E+04 -3.9825E+03 1.8847E+03 5.0000E+00
9.6185E+01 2.6471E+02 1.7083E+02 -3.0033E+04 2.5329E+04 3.8985E+04 -3.9825E+03 1.6491E+03 2.5000E+00
9.6185E+01 2.4265E+02 1.6313E+03 -3.0033E+04 2.3027E+04 1.7973E+04 -3.9825E+03 4.7117E+02 2.5000E+00
9.6185E+01 2.2059E+02 4.9901E+03 -3.0033E+04 2.0724E+04 2.3957E+04 -3.9825E+03 2.3559E+02 2.0833E+00
9.6185E+01 1.9853E+02 1.8785E+04 -3.0033E+04 1.8421E+04 3.3884E+04 -3.9825E+03 0.0000E+00 4.5021E+03
9.6185E+01 1.7647E+02 1.0078E+04 -3.0033E+04 1.6119E+04 3.2789E+04 -4.2698E+03 2.3559E+03 2.5000E+00
9.6185E+01 1.5441E+02 2.5317E+04 -3.0033E+04 1.3816E+04 9.7539E+04 -4.2698E+03 4.7117E+02 2.5000E+00
9.6185E+01 1.3235E+02 4.9515E+04 -3.0033E+04 1.1513E+04 1.3104E+05 -4.2698E+03 2.3559E+02 7.5000E+00
9.6185E+01 1.1030E+02 1.0245E+05 -3.0033E+04 9.2106E+03 3.5580E+05 -4.2698E+03 0.0000E+00 3.8969E+02
9.6185E+01 8.8237E+01 3.3627E+05 -3.0033E+04 6.9080E+03 1.0391E+06 -4.5571E+03 3.2982E+03 2.5000E+00
9.6185E+01 6.6177E+01 3.3684E+06 -3.0033E+04 4.6053E+03 3.6659E+06 -4.5571E+03 9.4234E+02 2.5000E+00
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
27/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
9.6185E+01 4.4118E+01 1.0673E+07 -3.0033E+04 2.3027E+03 1.1272E+07 -4.5571E+03 2.3559E+02 2.5000E+00
9.6185E+01 2.2059E+01 2.3343E+07 -3.0033E+04 0.0000E+00 9.4081E+06 -4.8443E+03 0.0000E+00 5.0000E+00
9.6185E+01 0.0000E+00 1.5992E+07 -3.2495E+04 7.5988E+04 3.3333E+01 -5.1316E+03 6.1252E+03 2.5000E+00
7.2166E+01 1.1030E+03 1.7500E+00 -3.2495E+04 7.3685E+04 8.5415E+01 -5.1316E+03 2.3559E+03 7.5000E+01
7.2166E+01 1.0809E+03 1.2167E+01 -3.2495E+04 6.9080E+04 2.5624E+02 -5.4188E+03 2.3559E+02 2.5000E+00
7.2166E+01 1.0368E+03 3.5000E+00 -3.2495E+04 6.6777E+04 8.5415E+01 -6.5678E+03 4.7117E+02 2.5000E+00
7.2166E+01 1.0147E+03 1.7500E+00 -3.2495E+04 5.5264E+04 6.8303E+02
7.2166E+01 9.9266E+02 6.9585E+00 -3.2495E+04 5.2961E+04 1.0417E+00
7.2166E+01 9.4854E+02 3.0000E+00 -3.2495E+04 5.0658E+04 2.4671E+02
7.2166E+01 9.2648E+02 3.5000E+00 -3.2495E+04 4.8356E+04 8.5133E+02
7.2166E+01 9.0443E+02 8.2500E+00 -3.2495E+04 4.6053E+04 3.3574E+02
7.2166E+01 8.8237E+02 3.5000E+00 -3.2495E+04 4.3750E+04 1.5900E+03
7.2166E+01 8.3825E+02 1.2500E+00 -3.2495E+04 4.1448E+04 1.1656E+04
7.2166E+01 7.5001E+02 1.7500E+00 -3.2495E+04 3.9145E+04 3.9159E+03
7.2166E+01 6.6177E+02 1.2500E+00 -3.2495E+04 3.6842E+04 1.6556E+04
7.2166E+01 6.1766E+02 1.2500E+00 -3.2495E+04 3.4540E+04 1.1124E+04
7.2166E+01 5.7354E+02 1.2500E+00 -3.2495E+04 3.2237E+04 2.4581E+04
7.2166E+01 5.5148E+02 2.5000E+00 -3.2495E+04 2.9934E+04 2.7409E+04
7.2166E+01 5.2942E+02 4.0000E+01 -3.2495E+04 2.7632E+04 4.5856E+04
7.2166E+01 5.0736E+02 2.5000E+00 -3.2495E+04 2.5329E+04 5.9161E+04
7.2166E+01 4.8530E+02 3.7500E+00 -3.2495E+04 2.3027E+04 6.0060E+04
7.2166E+01 4.6324E+02 1.2500E+00 -3.2495E+04 2.0724E+04 6.5731E+04
7.2166E+01 4.1912E+02 1.2500E+00 -3.2495E+04 1.8421E+04 9.3223E+04
7.2166E+01 3.9706E+02 4.5000E+01 -3.2495E+04 1.6119E+04 1.1412E+05
7.2166E+01 3.7501E+02 5.5000E+01 -3.2495E+04 1.3816E+04 1.6227E+05
7.2166E+01 3.5295E+02 7.5000E+00 -3.2495E+04 1.1513E+04 1.8972E+05
7.2166E+01 3.3089E+02 2.2641E+02 -3.2495E+04 9.2106E+03 4.4769E+05
7.2166E+01 3.0883E+02 1.8625E+02 -3.2495E+04 6.9080E+03 1.8667E+06
7.2166E+01 2.8677E+02 4.1750E+02 -3.2495E+04 4.6053E+03 5.4186E+06
7.2166E+01 2.6471E+02 3.5099E+02 -3.2495E+04 2.3027E+03 1.3710E+07
7.2166E+01 2.4265E+02 3.4416E+02 -3.2495E+04 0.0000E+00 1.1412E+07
7.2166E+01 2.2059E+02 1.5513E+03 -3.4957E+04 7.5988E+04 8.5415E+01
7.2166E+01 1.9853E+02 1.8734E+03 -3.4957E+04 6.6777E+04 5.2085E+00
7.2166E+01 1.7647E+02 6.0318E+03 -3.4957E+04 6.4474E+04 5.2085E+00
7.2166E+01 1.5441E+02 1.0882E+04 -3.4957E+04 5.5264E+04 5.5610E+01
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
28/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
7.2166E+01 1.3235E+02 1.8676E+04 -3.4957E+04 5.2961E+04 4.3780E+02
7.2166E+01 1.1030E+02 4.1301E+04 -3.4957E+04 5.0658E+04 4.9193E+02
7.2166E+01 8.8237E+01 1.4158E+05 -3.4957E+04 4.8356E+04 1.0951E+03
7.2166E+01 6.6177E+01 1.7513E+06 -3.4957E+04 4.6053E+04 9.8638E+02
7.2166E+01 4.4118E+01 6.4243E+06 -3.4957E+04 4.3750E+04 5.2739E+03
7.2166E+01 2.2059E+01 1.5169E+07 -3.4957E+04 4.1448E+04 3.0410E+03
7.2166E+01 0.0000E+00 1.1497E+07 -3.4957E+04 3.9145E+04 7.4112E+03
4.8146E+01 1.0368E+03 1.7500E+00 -3.4957E+04 3.6842E+04 5.8766E+03
4.8146E+01 1.0147E+03 1.7500E+00 -3.4957E+04 3.4540E+04 1.8673E+04
4.8146E+01 9.7060E+02 1.7500E+00 -3.4957E+04 3.2237E+04 2.9019E+04
4.8146E+01 9.4854E+02 1.7500E+00 -3.4957E+04 2.9934E+04 3.3135E+04
4.8146E+01 8.1619E+02 1.2500E+00 -3.4957E+04 2.7632E+04 5.6163E+04
4.8146E+01 6.8383E+02 1.2500E+00 -3.4957E+04 2.5329E+04 8.8476E+04
4.8146E+01 6.3972E+02 1.2500E+00 -3.4957E+04 2.3027E+04 1.2407E+05
4.8146E+01 6.1766E+02 3.7500E+00 -3.4957E+04 2.0724E+04 1.3878E+05
4.8146E+01 5.9560E+02 1.2500E+00 -3.4957E+04 1.8421E+04 1.5565E+05
4.8146E+01 5.7354E+02 3.7500E+00 -3.4957E+04 1.6119E+04 2.2294E+05
4.8146E+01 5.5148E+02 2.5000E+00 -3.4957E+04 1.3816E+04 2.0333E+05
4.8146E+01 5.2942E+02 2.5000E+00 -3.4957E+04 1.1513E+04 4.2627E+05
4.8146E+01 4.8530E+02 1.2500E+00 -3.4957E+04 9.2106E+03 7.5967E+05
4.8146E+01 4.6324E+02 5.0000E+00 -3.4957E+04 6.9080E+03 2.2342E+06
4.8146E+01 4.4118E+02 5.0000E+00 -3.4957E+04 4.6053E+03 5.7560E+06
4.8146E+01 4.1912E+02 3.7500E+01 -3.4957E+04 2.3027E+03 1.1987E+07
4.8146E+01 3.9706E+02 1.1092E+02 -3.4957E+04 0.0000E+00 1.0474E+07
4.8146E+01 3.7501E+02 8.3750E+01 -3.7419E+04 5.0658E+04 1.9110E+02
4.8146E+01 3.5295E+02 1.8125E+02 -3.7419E+04 4.8356E+04 2.6511E+03
4.8146E+01 3.3089E+02 5.6250E+01 -3.7419E+04 4.6053E+04 2.4671E+02
4.8146E+01 3.0883E+02 1.2500E+01 -3.7419E+04 4.3750E+04 6.1457E+03
4.8146E+01 2.8677E+02 3.5000E+01 -3.7419E+04 4.1448E+04 5.3281E+03
4.8146E+01 2.6471E+02 8.7500E+00 -3.7419E+04 3.9145E+04 1.0628E+04
4.8146E+01 2.4265E+02 8.3333E+00 -3.7419E+04 3.6842E+04 1.4421E+04
4.8146E+01 2.2059E+02 2.4583E+01 -3.7419E+04 3.4540E+04 2.4096E+04
4.8146E+01 1.9853E+02 1.8283E+02 -3.7419E+04 3.2237E+04 1.2416E+04
4.8146E+01 1.7647E+02 3.7274E+03 -3.7419E+04 2.9934E+04 2.8610E+04
4.8146E+01 1.5441E+02 1.7052E+03 -3.7419E+04 2.7632E+04 5.8182E+04
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
29/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
4.8146E+01 1.3235E+02 1.3411E+04 -3.7419E+04 2.5329E+04 7.7915E+04
4.8146E+01 1.1030E+02 1.9700E+04 -3.7419E+04 2.3027E+04 1.0183E+05
4.8146E+01 8.8237E+01 4.2373E+04 -3.7419E+04 2.0724E+04 1.4674E+05
4.8146E+01 6.6177E+01 5.7994E+05 -3.7419E+04 1.8421E+04 1.7733E+05
4.8146E+01 4.4118E+01 2.9748E+06 -3.7419E+04 1.6119E+04 2.5713E+05
4.8146E+01 2.2059E+01 8.7711E+06 -3.7419E+04 1.3816E+04 3.1030E+05
4.8146E+01 0.0000E+00 8.7809E+06 -3.7419E+04 1.1513E+04 4.3905E+05
2.4126E+01 1.0147E+03 1.7500E+00 -3.7419E+04 9.2106E+03 8.6925E+05
2.4126E+01 9.9266E+02 1.7500E+00 -3.7419E+04 6.9080E+03 2.6427E+06
2.4126E+01 6.3972E+02 1.2500E+00 -3.7419E+04 4.6053E+03 6.7463E+06
2.4126E+01 6.1766E+02 1.2500E+00 -3.7419E+04 2.3027E+03 1.5446E+07
2.4126E+01 5.7354E+02 1.2500E+00 -3.7419E+04 0.0000E+00 1.1458E+07
2.4126E+01 5.5148E+02 2.5000E+00 -3.9880E+04 4.6053E+04 2.2394E+03
2.4126E+01 5.0736E+02 3.0000E+00 -3.9880E+04 4.1448E+04 5.6052E+03
2.4126E+01 4.8530E+02 1.2500E+00 -3.9880E+04 3.9145E+04 1.9166E+04
2.4126E+01 4.1912E+02 8.2500E+00 -3.9880E+04 3.6842E+04 8.8351E+03
2.4126E+01 3.9706E+02 3.6333E+01 -3.9880E+04 3.4540E+04 7.8445E+03
2.4126E+01 3.7501E+02 1.8750E+02 -3.9880E+04 3.2237E+04 7.2234E+03
2.4126E+01 3.5295E+02 2.6375E+02 -3.9880E+04 2.9934E+04 3.6727E+04
2.4126E+01 3.3089E+02 2.3100E+02 -3.9880E+04 2.7632E+04 4.6081E+04
2.4126E+01 3.0883E+02 4.6000E+01 -3.9880E+04 2.5329E+04 9.5400E+04
2.4126E+01 2.8677E+02 6.0350E+02 -3.9880E+04 2.3027E+04 9.8917E+04
2.4126E+01 2.6471E+02 6.4350E+02 -3.9880E+04 2.0724E+04 1.7197E+05
2.4126E+01 2.4265E+02 7.2025E+02 -3.9880E+04 1.8421E+04 1.9541E+05
2.4126E+01 2.2059E+02 7.1675E+02 -3.9880E+04 1.6119E+04 2.4575E+05
2.4126E+01 1.9853E+02 2.5153E+03 -3.9880E+04 1.3816E+04 2.2741E+05
2.4126E+01 1.7647E+02 5.1716E+03 -3.9880E+04 1.1513E+04 4.2909E+05
2.4126E+01 1.5441E+02 2.5209E+03 -3.9880E+04 9.2106E+03 1.0077E+06
2.4126E+01 1.3235E+02 6.5981E+03 -3.9880E+04 6.9080E+03 3.1868E+06
2.4126E+01 1.1030E+02 6.0959E+03 -3.9880E+04 4.6053E+03 7.1628E+06
2.4126E+01 8.8237E+01 1.4321E+04 -3.9880E+04 2.3027E+03 1.4513E+07
2.4126E+01 6.6177E+01 1.5770E+05 -3.9880E+04 0.0000E+00 1.1219E+07
2.4126E+01 4.4118E+01 1.0829E+06 -4.2342E+04 4.8356E+04 2.2461E+03
2.4126E+01 2.2059E+01 3.3789E+06 -4.2342E+04 4.6053E+04 1.5924E+04
2.4126E+01 0.0000E+00 5.7382E+06 -4.2342E+04 4.3750E+04 2.2461E+03
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
30/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
1.0647E-01 7.9413E+02 1.2500E+00 -4.2342E+04 4.1448E+04 2.7313E+03
1.0647E-01 6.8383E+02 1.2500E+00 -4.2342E+04 3.9145E+04 7.8579E+03
1.0647E-01 6.3972E+02 1.2500E+00 -4.2342E+04 3.6842E+04 1.6116E+03
1.0647E-01 5.9560E+02 1.2500E+00 -4.2342E+04 3.4540E+04 2.2461E+04
1.0647E-01 5.5148E+02 3.7500E+00 -4.2342E+04 3.2237E+04 3.5937E+04
1.0647E-01 5.0736E+02 1.2500E+00 -4.2342E+04 2.9934E+04 2.5984E+04
1.0647E-01 4.8530E+02 3.3333E+01 -4.2342E+04 2.7632E+04 4.3761E+04
1.0647E-01 4.6324E+02 3.8750E+01 -4.2342E+04 2.5329E+04 6.1163E+04
1.0647E-01 4.4118E+02 1.7500E+00 -4.2342E+04 2.3027E+04 8.4530E+04
1.0647E-01 4.1912E+02 1.2500E+00 -4.2342E+04 2.0724E+04 1.8291E+05
1.0647E-01 3.9706E+02 1.5600E+02 -4.2342E+04 1.8421E+04 1.3628E+05
1.0647E-01 3.7501E+02 3.3334E+03 -4.2342E+04 1.6119E+04 2.6009E+05
1.0647E-01 3.5295E+02 1.0867E+02 -4.2342E+04 1.3816E+04 2.3821E+05
1.0647E-01 3.3089E+02 6.2083E+01 -4.2342E+04 1.1513E+04 4.3676E+05
1.0647E-01 3.0883E+02 3.3804E+03 -4.2342E+04 9.2106E+03 8.7268E+05
1.0647E-01 2.8677E+02 3.3351E+03 -4.2342E+04 6.9080E+03 2.4375E+06
1.0647E-01 2.6471E+02 1.6500E+01 -4.2342E+04 4.6053E+03 6.4043E+06
1.0647E-01 2.4265E+02 3.4204E+03 -4.2342E+04 2.3027E+03 1.2783E+07
1.0647E-01 2.2059E+02 1.2583E+02 -4.2342E+04 0.0000E+00 1.0167E+07
1.0647E-01 1.9853E+02 1.2489E+03 -4.4804E+04 5.0658E+04 1.7500E+00
1.0647E-01 1.7647E+02 3.4049E+04 -4.4804E+04 4.8356E+04 1.6946E+04
1.0647E-01 1.5441E+02 6.3467E+04 -4.4804E+04 4.6053E+04 8.9842E+03
1.0647E-01 1.3235E+02 1.1346E+05 -4.4804E+04 4.3750E+04 2.4849E+04
1.0647E-01 1.1030E+02 1.2817E+05 -4.4804E+04 4.1448E+04 1.9192E+04
1.0647E-01 8.8237E+01 1.2618E+05 -4.4804E+04 3.9145E+04 3.4601E+04
1.0647E-01 6.6177E+01 1.3409E+05 -4.4804E+04 3.6842E+04 5.6197E+04
1.0647E-01 4.4118E+01 2.8443E+05 -4.4804E+04 3.4540E+04 3.2128E+04
1.0647E-01 2.2059E+01 1.6269E+06 -4.4804E+04 3.2237E+04 2.9341E+04
1.0647E-01 0.0000E+00 4.2242E+07 -4.4804E+04 2.9934E+04 4.5730E+04
-2.3913E+01 7.0589E+02 1.2500E+00 -4.4804E+04 2.7632E+04 3.6006E+04
-2.3913E+01 5.9560E+02 4.2500E+00 -4.4804E+04 2.5329E+04 5.8018E+04
-2.3913E+01 5.0736E+02 1.2500E+00 -4.4804E+04 2.3027E+04 1.0624E+05
-2.3913E+01 4.8530E+02 1.7500E+00 -4.4804E+04 2.0724E+04 9.3420E+04
-2.3913E+01 4.4118E+02 2.5000E+00 -4.4804E+04 1.8421E+04 9.7104E+04
-2.3913E+01 4.1912E+02 6.8167E+01 -4.4804E+04 1.6119E+04 1.5678E+05
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
31/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-2.3913E+01 3.9706E+02 3.5000E+00 -4.4804E+04 1.3816E+04 2.5517E+05
-2.3913E+01 3.5295E+02 4.1750E+01 -4.4804E+04 1.1513E+04 3.4285E+05
-2.3913E+01 3.3089E+02 3.3728E+03 -4.4804E+04 9.2106E+03 6.1610E+05
-2.3913E+01 3.0883E+02 7.9417E+01 -4.4804E+04 6.9080E+03 2.3987E+06
-2.3913E+01 2.8677E+02 1.7825E+02 -4.4804E+04 4.6053E+03 6.4735E+06
-2.3913E+01 2.6471E+02 3.5000E+00 -4.4804E+04 2.3027E+03 1.2170E+07
-2.3913E+01 2.4265E+02 3.4129E+03 -4.4804E+04 0.0000E+00 8.7953E+06
-2.3913E+01 2.2059E+02 3.6075E+02 -4.7266E+04 5.0658E+04 7.9620E+03
-2.3913E+01 1.9853E+02 5.4192E+02 -4.7266E+04 4.8356E+04 1.1913E+04
-2.3913E+01 1.7647E+02 1.3963E+04 -4.7266E+04 4.3750E+04 2.8823E+04
-2.3913E+01 1.5441E+02 6.0342E+02 -4.7266E+04 4.1448E+04 5.2205E+04
-2.3913E+01 1.3235E+02 1.3653E+04 -4.7266E+04 3.9145E+04 1.2395E+04
-2.3913E+01 1.1030E+02 9.9217E+03 -4.7266E+04 3.6842E+04 3.2151E+04
-2.3913E+01 8.8237E+01 1.1687E+04 -4.7266E+04 3.4540E+04 3.1610E+04
-2.3913E+01 6.6177E+01 1.2038E+04 -4.7266E+04 3.2237E+04 3.6933E+04
-2.3913E+01 4.4118E+01 1.7879E+04 -4.7266E+04 2.9934E+04 1.6887E+04
-2.3913E+01 2.2059E+01 1.1968E+05 -4.7266E+04 2.7632E+04 6.1572E+04
-2.3913E+01 0.0000E+00 9.7214E+05 -4.7266E+04 2.5329E+04 8.4030E+04
-4.7933E+01 5.9560E+02 1.2500E+00 -4.7266E+04 2.3027E+04 1.4814E+05
-4.7933E+01 5.5148E+02 1.2500E+00 -4.7266E+04 2.0724E+04 7.5620E+04
-4.7933E+01 5.2942E+02 1.7500E+00 -4.7266E+04 1.8421E+04 1.4138E+05
-4.7933E+01 4.8530E+02 2.5000E+00 -4.7266E+04 1.6119E+04 2.4061E+05
-4.7933E+01 4.4118E+02 1.7500E+00 -4.7266E+04 1.3816E+04 2.3288E+05
-4.7933E+01 4.1912E+02 3.5000E+00 -4.7266E+04 1.1513E+04 2.7021E+05
-4.7933E+01 3.7501E+02 4.2750E+01 -4.7266E+04 9.2106E+03 5.9870E+05
-4.7933E+01 3.5295E+02 4.2500E+00 -4.7266E+04 6.9080E+03 2.0257E+06
-4.7933E+01 3.3089E+02 1.0500E+01 -4.7266E+04 4.6053E+03 5.8076E+06
-4.7933E+01 3.0883E+02 1.3475E+02 -4.7266E+04 2.3027E+03 1.1921E+07
-4.7933E+01 2.8677E+02 3.4087E+03 -4.7266E+04 0.0000E+00 8.1923E+06
-4.7933E+01 2.6471E+02 3.6009E+03 -4.9727E+04 4.6053E+04 6.0500E+03
-4.7933E+01 2.4265E+02 2.1567E+02 -4.9727E+04 4.3750E+04 1.1854E+04
-4.7933E+01 2.2059E+02 6.9770E+03 -4.9727E+04 4.1448E+04 1.5865E+04
-4.7933E+01 1.9853E+02 3.6389E+03 -4.9727E+04 3.9145E+04 3.9632E+04
-4.7933E+01 1.7647E+02 3.6128E+03 -4.9727E+04 3.6842E+04 2.3708E+04
-4.7933E+01 1.5441E+02 1.0100E+02 -4.9727E+04 3.4540E+04 6.3365E+04
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
32/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-4.7933E+01 1.3235E+02 1.2950E+02 -4.9727E+04 3.2237E+04 8.2653E+04
-4.7933E+01 1.1030E+02 5.8000E+01 -4.9727E+04 2.9934E+04 5.2345E+04
-4.7933E+01 8.8237E+01 6.3500E+01 -4.9727E+04 2.7632E+04 5.6372E+04
-4.7933E+01 6.6177E+01 2.7547E+03 -4.9727E+04 2.5329E+04 1.3839E+05
-4.7933E+01 4.4118E+01 7.4927E+03 -4.9727E+04 2.3027E+04 5.1633E+04
-4.7933E+01 2.2059E+01 7.8461E+04 -4.9727E+04 2.0724E+04 1.4584E+05
-4.7933E+01 0.0000E+00 3.6019E+05 -4.9727E+04 1.8421E+04 1.4098E+05
-7.1953E+01 6.3972E+02 1.7500E+00 -4.9727E+04 1.6119E+04 1.5353E+05
-7.1953E+01 5.9560E+02 1.7500E+00 -4.9727E+04 1.3816E+04 1.3138E+05
-7.1953E+01 5.7354E+02 3.9250E+01 -4.9727E+04 1.1513E+04 2.6144E+05
-7.1953E+01 5.5148E+02 3.7500E+01 -4.9727E+04 9.2106E+03 5.7940E+05
-7.1953E+01 5.0736E+02 3.9250E+01 -4.9727E+04 6.9080E+03 2.0156E+06
-7.1953E+01 4.6324E+02 3.7500E+01 -4.9727E+04 4.6053E+03 6.2739E+06
-7.1953E+01 4.1912E+02 5.2500E+00 -4.9727E+04 2.3027E+03 1.1886E+07
-7.1953E+01 3.9706E+02 4.8750E+01 -4.9727E+04 0.0000E+00 8.8568E+06
-7.1953E+01 3.5295E+02 3.5000E+00 -5.2189E+04 4.1448E+04 3.9513E+03
-7.1953E+01 3.3089E+02 3.9417E+01 -5.2189E+04 3.6842E+04 7.9025E+03
-7.1953E+01 3.0883E+02 1.1250E+01 -5.2189E+04 3.4540E+04 3.0397E+04
-7.1953E+01 2.8677E+02 4.8000E+01 -5.2189E+04 3.2237E+04 4.8956E+04
-7.1953E+01 2.6471E+02 7.8667E+01 -5.2189E+04 2.9934E+04 1.7974E+04
-7.1953E+01 2.4265E+02 1.8250E+01 -5.2189E+04 2.7632E+04 7.4051E+04
-7.1953E+01 2.2059E+02 7.2333E+01 -5.2189E+04 2.5329E+04 1.1214E+05
-7.1953E+01 1.9853E+02 8.7500E+00 -5.2189E+04 2.3027E+04 1.0906E+05
-7.1953E+01 1.7647E+02 2.3500E+01 -5.2189E+04 2.0724E+04 1.4076E+05
-7.1953E+01 1.5441E+02 2.8417E+01 -5.2189E+04 1.8421E+04 1.1996E+05
-7.1953E+01 1.3235E+02 1.2450E+02 -5.2189E+04 1.6119E+04 1.8910E+05
-7.1953E+01 1.1030E+02 1.2642E+02 -5.2189E+04 1.3816E+04 3.1050E+05
-7.1953E+01 8.8237E+01 2.1592E+02 -5.2189E+04 1.1513E+04 4.4861E+05
-7.1953E+01 6.6177E+01 3.2333E+02 -5.2189E+04 9.2106E+03 9.7063E+05
-7.1953E+01 4.4118E+01 7.0724E+03 -5.2189E+04 6.9080E+03 2.8113E+06
-7.1953E+01 2.2059E+01 4.7615E+04 -5.2189E+04 4.6053E+03 8.1850E+06
-7.1953E+01 0.0000E+00 1.0683E+05 -5.2189E+04 2.3027E+03 1.5149E+07
-9.5972E+01 7.0589E+02 1.7500E+00 -5.2189E+04 0.0000E+00 9.3580E+06
-9.5972E+01 5.9560E+02 1.7500E+00 -5.4651E+04 3.6842E+04 6.0500E+03
-9.5972E+01 5.5148E+02 3.5000E+00 -5.4651E+04 3.4540E+04 2.0062E+04
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
33/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-9.5972E+01 5.2942E+02 1.7500E+00 -5.4651E+04 3.2237E+04 1.2100E+04
-9.5972E+01 4.8530E+02 7.0000E+00 -5.4651E+04 2.9934E+04 4.6306E+04
-9.5972E+01 4.6324E+02 1.7500E+00 -5.4651E+04 2.7632E+04 6.0259E+04
-9.5972E+01 4.4118E+02 3.5000E+00 -5.4651E+04 2.5329E+04 9.4859E+04
-9.5972E+01 3.9706E+02 3.5000E+00 -5.4651E+04 2.3027E+04 1.2313E+05
-9.5972E+01 3.7501E+02 8.7500E+00 -5.4651E+04 2.0724E+04 2.1585E+05
-9.5972E+01 3.5295E+02 5.2500E+00 -5.4651E+04 1.8421E+04 2.4936E+05
-9.5972E+01 3.3089E+02 3.5000E+00 -5.4651E+04 1.6119E+04 3.3369E+05
-9.5972E+01 3.0883E+02 8.7500E+00 -5.4651E+04 1.3816E+04 4.7066E+05
-9.5972E+01 2.8677E+02 5.2500E+00 -5.4651E+04 1.1513E+04 6.5219E+05
-9.5972E+01 2.6471E+02 3.5000E+00 -5.4651E+04 9.2106E+03 1.3645E+06
-9.5972E+01 2.4265E+02 1.3750E+01 -5.4651E+04 6.9080E+03 3.8290E+06
-9.5972E+01 2.2059E+02 6.0000E+00 -5.4651E+04 4.6053E+03 1.0441E+07
-9.5972E+01 1.9853E+02 9.5000E+00 -5.4651E+04 2.3027E+03 1.8440E+07
-9.5972E+01 1.7647E+02 6.0000E+00 -5.4651E+04 0.0000E+00 1.1358E+07
-9.5972E+01 1.5441E+02 1.5000E+01 -5.7113E+04 3.4540E+04 8.5415E+01
-9.5972E+01 1.3235E+02 2.3500E+01 -5.7113E+04 2.9934E+04 1.0001E+04
-9.5972E+01 1.1030E+02 2.1000E+01 -5.7113E+04 2.7632E+04 3.8190E+04
-9.5972E+01 8.8237E+01 1.9667E+02 -5.7113E+04 2.5329E+04 3.0254E+04
-9.5972E+01 6.6177E+01 1.8833E+02 -5.7113E+04 2.3027E+04 4.8705E+04
-9.5972E+01 4.4118E+01 2.0248E+04 -5.7113E+04 2.0724E+04 1.0087E+05
-9.5972E+01 2.2059E+01 7.1090E+03 -5.7113E+04 1.8421E+04 2.6795E+05
-9.5972E+01 0.0000E+00 2.2064E+04 -5.7113E+04 1.6119E+04 2.8789E+05
-1.1999E+02 7.0589E+02 1.7500E+00 -5.7113E+04 1.3816E+04 4.3752E+05
-1.1999E+02 6.8383E+02 1.7500E+00 -5.7113E+04 1.1513E+04 7.4483E+05
-1.1999E+02 5.9560E+02 1.7500E+00 -5.7113E+04 9.2106E+03 1.4190E+06
-1.1999E+02 5.2942E+02 5.2500E+00 -5.7113E+04 6.9080E+03 3.0641E+06
-1.1999E+02 5.0736E+02 1.7500E+00 -5.7113E+04 4.6053E+03 9.2226E+06
-1.1999E+02 4.4118E+02 1.7500E+00 -5.7113E+04 2.3027E+03 1.6920E+07
-1.1999E+02 4.1912E+02 3.5000E+00 -5.7113E+04 0.0000E+00 1.0747E+07
-1.1999E+02 3.7501E+02 1.7500E+00 -5.9575E+04 2.0724E+04 1.8235E+04
-1.1999E+02 3.5295E+02 5.2500E+00 -5.9575E+04 1.8421E+04 5.2229E+04
-1.1999E+02 3.3089E+02 5.2500E+00 -5.9575E+04 1.6119E+04 6.0147E+04
-1.1999E+02 3.0883E+02 3.5000E+00 -5.9575E+04 1.3816E+04 1.6196E+05
-1.1999E+02 2.6471E+02 2.5000E+00 -5.9575E+04 1.1513E+04 3.7803E+05
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
34/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-1.1999E+02 2.2059E+02 3.5000E+00 -5.9575E+04 9.2106E+03 8.2914E+05
-1.1999E+02 1.9853E+02 2.5000E+00 -5.9575E+04 6.9080E+03 2.3797E+06
-1.1999E+02 1.7647E+02 7.0000E+00 -5.9575E+04 4.6053E+03 7.2582E+06
-1.1999E+02 1.5441E+02 9.5000E+00 -5.9575E+04 2.3027E+03 1.2571E+07
-1.1999E+02 1.3235E+02 6.0000E+00 -5.9575E+04 0.0000E+00 7.8434E+06
-1.1999E+02 1.1030E+02 6.4917E+01 -6.2036E+04 1.8421E+04 1.2100E+04
-1.1999E+02 8.8237E+01 2.7042E+02 -6.2036E+04 1.6119E+04 1.8150E+04
-1.1999E+02 6.6177E+01 6.6000E+01 -6.2036E+04 1.3816E+04 4.2364E+04
-1.1999E+02 4.4118E+01 6.8192E+03 -6.2036E+04 1.1513E+04 1.5287E+05
-1.1999E+02 2.2059E+01 2.0332E+04 -6.2036E+04 9.2106E+03 3.5403E+05
-1.1999E+02 0.0000E+00 1.4684E+04 -6.2036E+04 6.9080E+03 1.1414E+06
-1.4401E+02 6.8383E+02 1.7500E+00 -6.2036E+04 4.6053E+03 3.5295E+06
-1.4401E+02 6.6177E+02 1.7500E+00 -6.2036E+04 2.3027E+03 6.8536E+06
-1.4401E+02 6.3972E+02 1.7500E+00 -6.2036E+04 0.0000E+00 4.2499E+06
-1.4401E+02 6.1766E+02 1.7500E+00 -6.4498E+04 1.6119E+04 1.5924E+04
-1.4401E+02 5.7354E+02 3.5000E+00 -6.4498E+04 9.2106E+03 6.4331E+04
-1.4401E+02 5.5148E+02 1.7500E+00 -6.4498E+04 6.9080E+03 3.3414E+05
-1.4401E+02 5.2942E+02 1.7500E+00 -6.4498E+04 4.6053E+03 1.3316E+06
-1.4401E+02 5.0736E+02 5.2500E+00 -6.4498E+04 2.3027E+03 2.5680E+06
-1.4401E+02 4.8530E+02 3.5000E+00 -6.4498E+04 0.0000E+00 1.2273E+06
-1.4401E+02 4.6324E+02 3.5000E+00 -6.6960E+04 9.2106E+03 7.9025E+03
-1.4401E+02 4.1912E+02 7.0000E+00 -6.6960E+04 6.9080E+03 3.2103E+04
-1.4401E+02 3.9706E+02 1.7500E+00 -6.6960E+04 4.6053E+03 1.9873E+05
-1.4401E+02 3.5295E+02 1.7500E+00 -6.6960E+04 2.3027E+03 5.0741E+05
-1.4401E+02 2.6471E+02 3.5000E+00 -6.6960E+04 0.0000E+00 3.0958E+05
-1.4401E+02 2.4265E+02 3.5000E+00 -6.9422E+04 4.6053E+03 1.2171E+04
-1.4401E+02 2.2059E+02 7.0000E+00 -6.9422E+04 2.3027E+03 5.6052E+04
-1.4401E+02 1.9853E+02 5.0000E+00 -6.9422E+04 0.0000E+00 6.8443E+04
-1.4401E+02 1.7647E+02 2.5000E+00 -7.1883E+04 0.0000E+00 3.1848E+04
-1.4401E+02 1.5441E+02 9.5000E+00
-1.4401E+02 1.3235E+02 2.2500E+01
-1.4401E+02 1.1030E+02 2.1000E+01
-1.4401E+02 8.8237E+01 1.0500E+01
-1.4401E+02 6.6177E+01 2.0900E+02
-1.4401E+02 4.4118E+01 5.6500E+01
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
35/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-1.4401E+02 2.2059E+01 2.0358E+04
-1.4401E+02 0.0000E+00 7.9257E+03
-1.6803E+02 5.5148E+02 1.7500E+00
-1.6803E+02 5.2942E+02 1.7500E+00
-1.6803E+02 4.6324E+02 1.7500E+00
-1.6803E+02 2.4265E+02 3.5000E+00
-1.6803E+02 1.9853E+02 7.0000E+00
-1.6803E+02 1.7647E+02 1.3000E+01
-1.6803E+02 1.5441E+02 1.0500E+01
-1.6803E+02 1.3235E+02 2.2500E+01
-1.6803E+02 1.1030E+02 2.3500E+01
-1.6803E+02 8.8237E+01 1.0442E+02
-1.6803E+02 6.6177E+01 2.8000E+01
-1.6803E+02 4.4118E+01 1.6867E+02
-1.6803E+02 2.2059E+01 6.7732E+03
-1.6803E+02 0.0000E+00 5.5733E+02
-1.9205E+02 5.7354E+02 1.7500E+00
-1.9205E+02 2.8677E+02 3.5000E+00
-1.9205E+02 2.2059E+02 1.3917E+01
-1.9205E+02 1.9853E+02 1.0417E+01
-1.9205E+02 1.7647E+02 7.0000E+00
-1.9205E+02 1.5441E+02 1.3917E+01
-1.9205E+02 1.3235E+02 1.3000E+01
-1.9205E+02 1.1030E+02 8.8000E+01
-1.9205E+02 8.8237E+01 1.0500E+01
-1.9205E+02 6.6177E+01 9.2417E+01
-1.9205E+02 4.4118E+01 3.5417E+01
-1.9205E+02 2.2059E+01 1.7450E+02
-1.9205E+02 0.0000E+00 8.9000E+01
-2.1607E+02 2.6471E+02 2.5000E+00
-2.1607E+02 2.2059E+02 6.0000E+00
-2.1607E+02 1.9853E+02 9.5000E+00
-2.1607E+02 1.7647E+02 7.0000E+00
-2.1607E+02 1.3235E+02 7.0000E+00
-2.1607E+02 1.1030E+02 7.0000E+00
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
36/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-2.1607E+02 8.8237E+01 7.0000E+00
-2.1607E+02 6.6177E+01 8.2000E+01
-2.1607E+02 4.4118E+01 2.4417E+01
-2.1607E+02 2.2059E+01 6.8333E+01
-2.1607E+02 0.0000E+00 1.7417E+01
-2.4009E+02 1.9853E+02 3.5000E+00
-2.4009E+02 1.7647E+02 3.5000E+00
-2.4009E+02 1.5441E+02 3.5000E+00
-2.4009E+02 1.3235E+02 8.2000E+01
-2.4009E+02 1.1030E+02 7.0000E+00
-2.4009E+02 8.8237E+01 9.6000E+01
-2.4009E+02 6.6177E+01 2.3500E+01
-2.4009E+02 4.4118E+01 1.6742E+02
-2.4009E+02 2.2059E+01 1.7500E+01
-2.4009E+02 0.0000E+00 9.9500E+01
-2.6411E+02 2.8677E+02 3.5000E+00
-2.6411E+02 2.2059E+02 3.5000E+00
-2.6411E+02 1.7647E+02 7.0000E+00
-2.6411E+02 1.5441E+02 7.0000E+00
-2.6411E+02 1.3235E+02 3.5000E+00
-2.6411E+02 1.1030E+02 7.0000E+00
-2.6411E+02 8.8237E+01 7.0000E+00
-2.6411E+02 6.6177E+01 1.4000E+01
-2.6411E+02 4.4118E+01 2.4500E+01
-2.6411E+02 2.2059E+01 8.9000E+01
-2.6411E+02 0.0000E+00 9.5917E+01
-2.8813E+02 2.2059E+02 1.0417E+01
-2.8813E+02 1.9853E+02 3.5000E+00
-2.8813E+02 1.7647E+02 7.0000E+00
-2.8813E+02 1.3235E+02 7.0000E+00
-2.8813E+02 1.1030E+02 3.5000E+00
-2.8813E+02 8.8237E+01 3.5000E+00
-2.8813E+02 6.6177E+01 7.8500E+01
-2.8813E+02 4.4118E+01 1.3917E+01
-2.8813E+02 2.2059E+01 1.4000E+01
CLASS T05
DOCUMENT:
0037-4072 VER 02
DESCRIPTION:
Foundation loads
PAGE
37/37
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Markov Matrices
Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Tower torsion, bottom Mz [kNm]
Level Range Cycles Level Range Cycles Level Range Cycles
-2.8813E+02 0.0000E+00 3.5000E+00
-3.1215E+02 1.9853E+02 3.5000E+00
-3.1215E+02 1.5441E+02 7.0000E+00
-3.1215E+02 1.3235E+02 7.0000E+00
-3.1215E+02 1.1030E+02 7.0000E+00
-3.1215E+02 8.8237E+01 7.0000E+00
-3.1215E+02 6.6177E+01 7.8500E+01
-3.1215E+02 4.4118E+01 2.4417E+01
-3.3617E+02 1.7647E+02 3.5000E+00
-3.3617E+02 6.6177E+01 3.5000E+00
-3.3617E+02 4.4118E+01 3.5000E+00
-3.3617E+02 2.2059E+01 3.5000E+00
-3.6019E+02 1.3235E+02 3.5000E+00
-3.6019E+02 8.8237E+01 3.5000E+00
-3.6019E+02 6.6177E+01 3.5000E+00
-3.6019E+02 4.4118E+01 3.5000E+00
-3.8421E+02 2.2059E+01 3.5000E+00
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