Foundation Loads

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Class 1 V-CEU Document no.: 0005-6043-R02

Original Document no. (date): 0005-6043 V02 (2010-03-02)

Foundation Loads V112–3.0 MW HH 119 m IEC 3a

The following document (0005-6043 V02 (2010-03-02)) is intended for information purposes only and is subject to changes in content - without prior notification – as a result of product developments. Prior to use, all users are responsible for ensuring that they are referring to the most recent, valid version.

Vestas Wind Systems A/S · Alsvej 21 · 8940 Randers SV · Denmark · www.vestas.com

Class I

Item no.: 0005-6043.V02

2010.03.02

Foundation Loads V112 3.0 MW HH 119 m IEC3A

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document contains valuable confidential information of Vestas Wind Systems A/S. It is protected by copyright law as an unpublished work.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.

Item no.: 0005-6043.V02


Date: 2010.03.02

Issued by: Technology R&D Class: 1

Type: T05 – Marketing Data Page 2 of 24


History of Document

Rev. no.: Date: Description of change

0 2009.09.01 New document

V01 2009.09.14 Introduction changed

V02 2010.03.02 Document number corrected. Introduction changed.

Contents ...........................................................................................................................Page 1. Introduction ...................................................................................................................... 3

2. References ...................................................................................................................... 3

3. Extreme Loads ................................................................................................................ 4

3.1 Resulting Extreme Load .......................................................................................... 4

3.2 Extreme Load during Normal Operation ................................................................. 4

3.3 Own Weight Moment .............................................................................................. 5

4. Fatigue Loads .................................................................................................................. 5

4.1 Equivalent and Mean Load ..................................................................................... 5

5. Stiffness of Foundation .................................................................................................... 6

Appendix A. Co-ordinate Systems .................................................................................... 7

Appendix B. Rain flow Spectrum ...................................................................................... 8

Appendix C. Markov Matrices ......................................................................................... 10

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1. Introduction

This document presents foundation loads from the V112 3.0 MW HH 119 m IEC3A load spectrum. The loads are simulated in accordance with IEC61400-1 Edition 3, ref. [1]. The tower used for calculating the loads can be found in ref [4].

2. References

Reference Document Doc. No.

[1] Design Code IEC61400-1 Edition 3

[2] GL Guideline GL Rule and Guidelines, edition 2003 with supplements 2004

[3] Additional Tower and Foundation Requirements for Foundations with Anchors

0005-6289.V00

[4] Tower drawing V112-3.0 MW HH119 IEC3a 0003-2345.V00

[5] Flex input file FLEX input file - Tower 0005-1703.V00

Table 2.1 References.

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3. Extreme Loads

Foundation loads components at the instant of extreme resulting bending moment are given in Table 3.1 and Table 3.2. 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 Mres: Extreme resulting bending moment. Mz: Simultaneous torsion moment. Fres: Simultaneous resulting shear force. Fz: Simultaneous vertical force.

3.1 Resulting Extreme Load

Extreme resulting tower bottom moment according to ref [1] incl. own weight moment contri-bution due to tower out of vertical.

Characteristic Extreme Load for Normal Load Cases (PLF = 1.35)

Mres Mz Fres Fz PLF Design Load Case

[kNm] [kNm] [kN] [kN] [-] [-]

91100 -201.5 784.0 -5130 1.35 3.2 (32PREogVim2.int) Table 3.1 Characteristic extreme load for normal load cases, PLF = 1.35. PLF not included.

Characteristic Extreme Load for Abnormal Load Cases (PLF = 1.10)


[kNm] [kNm] [kN] [kN] [-] [-]

109100 -1310 879.0 -5100 1.10 2.3 (23CoEogVrp5.int)

Table 3.2 Characteristic extreme load for abnormal load cases, PLF = 1.10. PLF not included.

3.2 Extreme Load during Normal Operation

The extreme load during normal operation is based upon; DLC 1.1, 3.1 and 4.1 according to ref [2] incl. own weight moment contribution due to tower out of vertical.

Characteristic Extreme Load during normal operation (PLF = 1.35)


[kNm] [kNm] [kN] [kN] [-] [-]

63549.73 553.31 587.71 -5196.37 1.35 1.1 (1112a(fam))

Table 3.3 Characteristic Extreme Load during normal operation.

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3.3 Own Weight Moment

The own weight moment contribution due to tower out of vertical is listed in Table 3.4.

Tower Own Weight Moment

Tower out of vertical: 0.008 m/m

Tower top mass: 188236 kg

Height tower top to tower top mass: 1.720 m

Partial load factor: 1.10 -

Moment due to tower out of vertical: 2897.03 kNm Table 3.4 Tower own weight moment. PLF not included.

4. Fatigue Loads

4.1 Equivalent and Mean Load

For the foundation, the mean loads have to be considered. The mean loads must be com-bined 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] 209.6 450.0 408.0

Mx [kNm] -23510 29770 33500 Table 4.1 Equivalent fatigue foundation loads. Neq=1e7.

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5. Stiffness of Foundation The nominal spring stiffness used for the load calculations is 116 GNm/rad resulting in a no-minal tower frequency of 0.171 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 founda-tions is given in Table 5.1 as a function of the rotational stiffness.

Minimum Lateral Stiffness

Rotational stiffness

[GNm/rad] 30 51.3 72.5 93.8 115 136.3 157.5 178.8 200

Lateral stiffness

[MN/m] 5000.5 6.8 6 6 6 6 6 6 6

Table 5.1 Minimum lateral stiffness.

The natural frequency of the tower must be within the frequency interval [0.165 Hz; 0.182 Hz].

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Appendix A. Co-ordinate Systems

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Appendix B. Rain flow Spectrum This appendix contains the rain flow spectrum for the bending moment and the shear force in the bottom of the tower

Foundation Fatigue Load Spectrum

Tower shear, bottom Fy [kN] Tower bending, bottom Mx [kNm] Range Frequency Range Frequency

9.8528E+02 1.2500E+01 1.0176E+05 3.3500E+01

9.6557E+02 0.0000E+00 9.9720E+04 0.0000E+00

9.4587E+02 3.7500E+01 9.7685E+04 3.7500E+01

9.2616E+02 3.3500E+01 9.5650E+04 0.0000E+00

9.0646E+02 0.0000E+00 9.3615E+04 0.0000E+00

8.8675E+02 1.2500E+01 9.1580E+04 1.1700E+02

8.6704E+02 5.3500E+01 8.9545E+04 3.7500E+01

8.4734E+02 5.3500E+01 8.7510E+04 1.0050E+02

8.2763E+02 2.6200E+02 8.5475E+04 3.7500E+01

8.0793E+02 1.0850E+02 8.3439E+04 1.2500E+01

7.8822E+02 1.5750E+02 8.1404E+04 0.0000E+00

7.6852E+02 2.4950E+02 7.9369E+04 3.7500E+01

7.4881E+02 2.6600E+02 7.7334E+04 8.7500E+01

7.2911E+02 2.2020E+03 7.5299E+04 3.7500E+01

7.0940E+02 2.9365E+03 7.3264E+04 0.0000E+00

6.8969E+02 1.3935E+03 7.1229E+04 8.3500E+01

6.6999E+02 3.5545E+03 6.9194E+04 2.5050E+02

6.5028E+02 6.6625E+03 6.7159E+04 1.5450E+02

6.3058E+02 7.5045E+03 6.5123E+04 1.8100E+02

6.1087E+02 1.0494E+04 6.3088E+04 1.5250E+02

5.9117E+02 1.5166E+04 6.1053E+04 6.2450E+02

5.7146E+02 2.3920E+04 5.9018E+04 6.4225E+03

5.5176E+02 6.0579E+04 5.6983E+04 1.1305E+03

5.3205E+02 7.8832E+04 5.4948E+04 1.5376E+04

5.1234E+02 1.2248E+05 5.2913E+04 5.0050E+04

4.9264E+02 1.8042E+05 5.0878E+04 5.5718E+04

4.7293E+02 2.1362E+05 4.8843E+04 3.6449E+04

4.5323E+02 2.9845E+05 4.6807E+04 9.2964E+04

4.3352E+02 4.0560E+05 4.4772E+04 8.8247E+04

4.1382E+02 5.2621E+05 4.2737E+04 1.8363E+05

3.9411E+02 6.8419E+05 4.0702E+04 7.7342E+04

3.7441E+02 8.7436E+05 3.8667E+04 2.5735E+05

3.5470E+02 1.2122E+06 3.6632E+04 2.3449E+05

3.3499E+02 1.7854E+06 3.4597E+04 3.4118E+05

3.1529E+02 2.3581E+06 3.2562E+04 3.0356E+05

2.9558E+02 3.3121E+06 3.0527E+04 5.2591E+05

2.7588E+02 4.1394E+06 2.8492E+04 5.2493E+05

2.5617E+02 5.8842E+06 2.6456E+04 7.8084E+05

2.3647E+02 8.3209E+06 2.4421E+04 9.3791E+05

2.1676E+02 1.1417E+07 2.2386E+04 1.2688E+06

1.9706E+02 1.4834E+07 2.0351E+04 1.6555E+06

1.7735E+02 2.1390E+07 1.8316E+04 2.2317E+06

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1.5764E+02 2.6344E+07 1.6281E+04 2.5222E+06

1.3794E+02 3.4490E+07 1.4246E+04 3.7632E+06

1.1823E+02 4.1840E+07 1.2211E+04 6.1008E+06

9.8528E+01 5.3672E+07 1.0176E+04 1.0213E+07

7.8822E+01 6.4311E+07 8.1404E+03 2.0265E+07

5.9117E+01 8.6976E+07 6.1053E+03 4.9009E+07

3.9411E+01 1.1901E+08 4.0702E+03 1.1037E+08

1.9706E+01 1.5216E+08 2.0351E+03 2.3354E+08

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Appendix C. Markov Matrices This appendix contains the Markov Matrices for the tower bottom bending moment (Mx).

Markov Matrices

Level Range Cycles Cum. Cycles 4.52E+04 0.00E+00 7.50E+01 7.50E+01

3.62E+04 0.00E+00 2.50E+01 1.00E+02

3.17E+04 2.04E+03 1.34E+02 2.34E+02

3.17E+04 0.00E+00 1.42E+02 3.76E+02

2.94E+04 0.00E+00 1.42E+02 5.18E+02

2.71E+04 2.04E+03 5.00E+01 5.68E+02

2.71E+04 0.00E+00 1.50E+02 7.18E+02

2.49E+04 2.04E+03 7.50E+01 7.93E+02

2.49E+04 0.00E+00 7.50E+01 8.68E+02

2.26E+04 6.11E+03 7.50E+01 9.43E+02

2.26E+04 4.07E+03 7.50E+01 1.02E+03

2.26E+04 2.04E+03 2.50E+01 1.04E+03

2.26E+04 0.00E+00 7.50E+01 1.12E+03

2.04E+04 4.07E+03 1.25E+01 1.13E+03

2.04E+04 2.04E+03 1.50E+02 1.28E+03

1.81E+04 2.04E+03 1.50E+02 1.43E+03

1.81E+04 0.00E+00 2.75E+03 4.18E+03

1.58E+04 4.07E+03 7.50E+01 4.25E+03

1.58E+04 2.04E+03 7.50E+01 4.33E+03

1.58E+04 0.00E+00 6.98E+03 1.13E+04

1.36E+04 6.92E+04 7.10E+01 1.14E+04

1.36E+04 4.07E+03 2.50E+01 1.14E+04

1.36E+04 2.04E+03 2.00E+02 1.16E+04

1.36E+04 0.00E+00 5.32E+02 1.21E+04

1.13E+04 5.09E+04 3.35E+01 1.22E+04

1.13E+04 4.88E+04 3.35E+01 1.22E+04

1.13E+04 4.27E+04 7.50E+01 1.23E+04

1.13E+04 1.42E+04 1.25E+01 1.23E+04

1.13E+04 4.07E+03 1.00E+02 1.24E+04

1.13E+04 2.04E+03 1.07E+02 1.25E+04

1.13E+04 0.00E+00 8.15E+02 1.33E+04

9.05E+03 5.90E+04 3.35E+01 1.33E+04

9.05E+03 5.70E+04 3.35E+01 1.34E+04

9.05E+03 5.49E+04 3.35E+01 1.34E+04

9.05E+03 3.66E+04 7.50E+01 1.35E+04

9.05E+03 3.26E+04 7.50E+01 1.36E+04

9.05E+03 1.83E+04 7.50E+01 1.36E+04

9.05E+03 1.42E+04 7.50E+01 1.37E+04

9.05E+03 6.11E+03 2.50E+01 1.37E+04

9.05E+03 4.07E+03 7.50E+01 1.38E+04

9.05E+03 2.04E+03 7.13E+02 1.45E+04

9.05E+03 0.00E+00 4.14E+04 5.59E+04

6.79E+03 5.09E+04 7.50E+01 5.60E+04

6.79E+03 4.48E+04 3.75E+01 5.60E+04

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6.79E+03 4.27E+04 6.70E+01 5.61E+04

6.79E+03 3.46E+04 3.75E+01 5.61E+04

6.79E+03 2.65E+04 7.50E+01 5.62E+04

6.79E+03 2.44E+04 1.83E+03 5.80E+04

6.79E+03 2.24E+04 3.67E+03 6.17E+04

6.79E+03 2.04E+04 7.48E+03 6.92E+04

6.79E+03 1.83E+04 1.83E+03 7.10E+04

6.79E+03 1.63E+04 5.50E+03 7.65E+04

6.79E+03 1.42E+04 1.20E+04 8.85E+04

6.79E+03 1.22E+04 1.10E+04 9.95E+04

6.79E+03 4.07E+03 1.50E+02 9.96E+04

6.79E+03 2.04E+03 4.44E+03 1.04E+05

6.79E+03 0.00E+00 3.44E+04 1.38E+05

4.52E+03 5.90E+04 3.75E+01 1.39E+05

4.52E+03 5.29E+04 3.75E+01 1.39E+05

4.52E+03 4.68E+04 1.50E+02 1.39E+05

4.52E+03 4.07E+04 3.75E+01 1.39E+05

4.52E+03 3.87E+04 1.34E+02 1.39E+05

4.52E+03 3.66E+04 6.70E+01 1.39E+05

4.52E+03 2.85E+04 6.70E+01 1.39E+05

4.52E+03 2.65E+04 6.72E+03 1.46E+05

4.52E+03 2.44E+04 8.15E+03 1.54E+05

4.52E+03 2.24E+04 1.83E+03 1.56E+05

4.52E+03 1.83E+04 7.50E+01 1.56E+05

4.52E+03 1.63E+04 1.29E+04 1.69E+05

4.52E+03 1.42E+04 2.53E+04 1.94E+05

4.52E+03 1.22E+04 2.91E+04 2.23E+05

4.52E+03 1.02E+04 1.93E+04 2.42E+05

4.52E+03 8.14E+03 1.38E+04 2.56E+05

4.52E+03 6.11E+03 3.77E+04 2.94E+05

4.52E+03 4.07E+03 4.18E+04 3.36E+05

4.52E+03 2.04E+03 9.44E+04 4.30E+05

4.52E+03 0.00E+00 1.36E+06 1.79E+06

2.26E+03 7.73E+04 1.25E+01 1.79E+06

2.26E+03 5.09E+04 1.13E+02 1.79E+06

2.26E+03 4.88E+04 1.13E+02 1.79E+06

2.26E+03 4.68E+04 2.51E+02 1.79E+06

2.26E+03 4.48E+04 3.71E+02 1.79E+06

2.26E+03 4.27E+04 2.92E+02 1.79E+06

2.26E+03 4.07E+04 1.88E+02 1.79E+06

2.26E+03 3.87E+04 1.46E+02 1.79E+06

2.26E+03 3.66E+04 4.80E+02 1.79E+06

2.26E+03 3.46E+04 3.26E+02 1.79E+06

2.26E+03 3.26E+04 2.25E+02 1.80E+06

2.26E+03 3.05E+04 4.50E+02 1.80E+06

2.26E+03 2.85E+04 3.22E+02 1.80E+06

2.26E+03 2.65E+04 4.46E+02 1.80E+06

2.26E+03 2.44E+04 4.50E+02 1.80E+06

2.26E+03 2.24E+04 3.71E+02 1.80E+06

2.26E+03 2.04E+04 3.38E+02 1.80E+06

2.26E+03 1.83E+04 2.63E+02 1.80E+06

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2.26E+03 1.63E+04 1.84E+02 1.80E+06

2.26E+03 1.42E+04 1.84E+04 1.82E+06

2.26E+03 1.22E+04 7.25E+04 1.89E+06

2.26E+03 1.02E+04 8.92E+04 1.98E+06

2.26E+03 8.14E+03 1.69E+05 2.15E+06

2.26E+03 6.11E+03 2.57E+05 2.40E+06

2.26E+03 4.07E+03 5.21E+05 2.92E+06

2.26E+03 2.04E+03 1.38E+06 4.30E+06

2.26E+03 0.00E+00 1.97E+07 2.40E+07

0.00E+00 9.77E+04 3.75E+01 2.40E+07

0.00E+00 6.31E+04 2.50E+01 2.40E+07

0.00E+00 5.09E+04 3.75E+01 2.40E+07

0.00E+00 4.88E+04 3.75E+01 2.40E+07

0.00E+00 4.48E+04 3.75E+01 2.40E+07

0.00E+00 4.07E+04 7.10E+01 2.40E+07

0.00E+00 3.87E+04 1.80E+02 2.40E+07

0.00E+00 3.66E+04 2.88E+02 2.40E+07

0.00E+00 3.46E+04 1.17E+02 2.40E+07

0.00E+00 3.26E+04 1.09E+02 2.40E+07

0.00E+00 3.05E+04 3.22E+02 2.40E+07

0.00E+00 2.85E+04 2.13E+02 2.40E+07

0.00E+00 2.65E+04 2.21E+02 2.40E+07

0.00E+00 2.44E+04 1.09E+02 2.40E+07

0.00E+00 2.24E+04 1.25E+02 2.40E+07

0.00E+00 2.04E+04 3.13E+02 2.40E+07

0.00E+00 1.83E+04 1.05E+02 2.40E+07

0.00E+00 1.63E+04 3.63E+02 2.40E+07

0.00E+00 1.42E+04 4.63E+02 2.40E+07

0.00E+00 1.22E+04 7.44E+02 2.40E+07

0.00E+00 1.02E+04 7.17E+02 2.40E+07

0.00E+00 8.14E+03 1.03E+03 2.40E+07

0.00E+00 6.11E+03 2.33E+04 2.40E+07

0.00E+00 4.07E+03 1.91E+05 2.42E+07

0.00E+00 2.04E+03 1.53E+06 2.57E+07

0.00E+00 0.00E+00 1.46E+07 4.04E+07

-2.26E+03 1.02E+05 3.35E+01 4.04E+07

-2.26E+03 6.11E+04 1.25E+01 4.04E+07

-2.26E+03 5.49E+04 1.25E+01 4.04E+07

-2.26E+03 4.68E+04 1.25E+01 4.04E+07

-2.26E+03 4.48E+04 7.50E+01 4.04E+07

-2.26E+03 4.27E+04 7.50E+01 4.04E+07

-2.26E+03 4.07E+04 1.00E+02 4.04E+07

-2.26E+03 3.87E+04 2.13E+02 4.04E+07

-2.26E+03 3.66E+04 1.13E+02 4.04E+07

-2.26E+03 3.46E+04 7.50E+01 4.04E+07

-2.26E+03 3.26E+04 1.57E+02 4.04E+07

-2.26E+03 3.05E+04 4.29E+02 4.04E+07

-2.26E+03 2.85E+04 8.75E+01 4.04E+07

-2.26E+03 2.65E+04 1.16E+02 4.04E+07

-2.26E+03 2.44E+04 2.00E+02 4.04E+07

-2.26E+03 2.24E+04 5.44E+02 4.04E+07

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-2.26E+03 2.04E+04 3.06E+02 4.04E+07

-2.26E+03 1.83E+04 5.00E+01 4.04E+07

-2.26E+03 1.63E+04 3.00E+02 4.04E+07

-2.26E+03 1.42E+04 1.02E+03 4.04E+07

-2.26E+03 1.22E+04 2.74E+03 4.04E+07

-2.26E+03 1.02E+04 1.52E+04 4.04E+07

-2.26E+03 8.14E+03 2.86E+04 4.04E+07

-2.26E+03 6.11E+03 7.34E+04 4.05E+07

-2.26E+03 4.07E+03 2.86E+05 4.08E+07

-2.26E+03 2.04E+03 3.47E+06 4.43E+07

-2.26E+03 0.00E+00 1.88E+07 6.31E+07

-4.52E+03 9.16E+04 1.25E+01 6.31E+07

-4.52E+03 6.11E+04 1.25E+01 6.31E+07

-4.52E+03 5.90E+04 1.25E+01 6.31E+07

-4.52E+03 5.70E+04 1.25E+01 6.31E+07

-4.52E+03 5.49E+04 1.25E+01 6.31E+07

-4.52E+03 5.29E+04 1.25E+01 6.31E+07

-4.52E+03 4.88E+04 2.50E+01 6.31E+07

-4.52E+03 4.48E+04 1.25E+01 6.31E+07

-4.52E+03 4.27E+04 1.25E+01 6.31E+07

-4.52E+03 4.07E+04 7.50E+01 6.31E+07

-4.52E+03 3.87E+04 2.50E+01 6.31E+07

-4.52E+03 3.66E+04 1.52E+02 6.31E+07

-4.52E+03 3.46E+04 2.32E+02 6.31E+07

-4.52E+03 3.26E+04 4.51E+02 6.31E+07

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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Item no.: 0005-6043.V02


Date: 2010.03.02




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Documents

Foundation Loads