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Influence of Speed Regulation on the Power Performance of Small Wind Turbines
Kyle K. WetzelWetzel Engineering, Inc.Lawrence, Kansas USA
Commercial Small Turbine Configurations
Turbine Rated Power[kW]
Rotor Diameter
[m]
Speed Regulation/Generator Type
Rated Shaft Speed[rpm]
Rated Tip Speed Ratio
Skystream 3.7 1.9 3.7 Variable PM Alternator 325 7.0Proven 2.5 2.5 3.5 Variable PM Alternator 300 5.0ARE 110 2.5 3.6 Variable PM Alternator n/a n/aKestrel E400 3 4.0 Variable PM Alternator n/a n/aWhisper 500 3 4.5 Variable PM Alternator n/a n/aEndurance 5 5.5 Fixed Asynchronous 206 5.1Enertech E6 5 6.7 Fixed Asynchronous n/a n/aProven 6 6 5.5 Variable PM Alternator 200 4.8Bergey Excel 10 7.0 Variable PM Alternator 310 8.2ARE 442 10 7.2 Variable PM Alternator n/a n/aProven 15 15 9.0 Variable PM Alternator 150 5.9Enertech E10 25 10.4 Fixed Asynchronous 76 4.0Entegrity EW50 50 15.0 Fixed Asynchronous 65 6.1Northwind 100 100 21.0 Variable PM Alternator 59 4.6
Full Power ConversionUtility-Scale –vs– Small Turbines
• 2MW Turbine– $40-$60/kW – 3-4% of installed cost
• 10kW Turbine– $700-$1000/kW– 10-20% of the installed cost
Legacy Issues in Small Turbines
• Early small turbines were originally designed for off-grid operation– PM Synchronous Generators were ideal– High-pole-count PM generators also eliminated
the need for gearboxes (high-pole-count induction generators are not efficient)
• Current market for small wind is mostly grid-connected
Objectiveof the Current Study
• Determine whether variable speed operation of a small wind turbine delivers energy to the grid at a cost that is superior to that provided by fixed-speed operation.
• NOT to answer the question of whether variable-speed or fixed-speed operation is generally superior.
Common Platformfor Fixed and Variable Speed?
Rotor Speed Regulation
Generator Configuration Gearbox Overspeed Protection
Power Conversion for
Grid Connection
Variable
Low-speed synchronous (PM or wound rotor) NoneFurling at
V>Vrated
orPitch Control
Full AC-DC-AC
High-Speed synchronous 1- or 2-Stage Full AC-DC-AC
High-Speed wound rotor induction 1- or 2-Stage Partial AC-DC-AC
High-speed squirrel-cage induction 2- or 3-stage Variable Ratio
None
High-Speed Synchronous (wound rotor) 2- or 3-stage Variable Ratio Pitch Control None
Fixed
High-speed squirrel-cage Induction 1- or 2-Stage Stall + Furling at V>Vout
or Pitch Control
None
Low-speed squirrel-cage induction None None
Low-Speed synchronous (PM or wound rotor) NonePitch Control
None
High-Speed synchronous (PM or wound rotor) 1- or 2-Stage None
Not Typical for Turbines <20kW
Proprietary
Accept an Apples-to-Oranges Platform Comparison
1. Maintains high-efficiency of PM synch gen for variable speed
2. Eliminates gearbox losses for variable speed
3. Maintains low-cost & simplicity of induction machine for fixed speed
Turbine Configurations
Feature Variable-Speed Turbine
Fixed Speed Turbines
Configuration 3-bladed, Upwind, Grid-ConnectedRotor Diameter 7.0mRated Power 6000WLSS Speed 100-180 rpm 114 rpm 134 rpm 171 rpm
Generator 48-pole 3-phase PM Synchronous
4-pole 3-phase Squirrel-Cage Induction (Marathon 213TTFS6526FW)
Peak Gen Efficiency 96.0% 91.7%Generator Rating 6500W 6000WGearbox None 1:16.1 Planetary 1:13.7 Planetary 1:10.7 PlanetaryPeak GB Efficiency n/a 95.5% 95.7% 95.8%Peak Drivetrain Eff. 96.0% 87.5% 87.8% 87.8%Rectifier Polyphase n/aRectifier Peak Eff. 95.0% n/a
Power Converter Windyboy 7000US n/a
Peak Inverter Eff. 97.0% n/aPeak Electromech. Efficiency 88.5% 87.5% 87.8% 87.8%
6kW Wind Turbine
• Pitch Regulation used in Region 3 for power regulation
• Pitch fixed in Region 2• Difference in Region 3
power regulation is not unique to fixed or variable speed, so not part of the study
Optimized Blade Planforms
0
100
200
300
400
500
600
0 500 1000 1500 2000 2500 3000 3500
Chor
d Le
ngth
--c
[mm
]
Radial Station -- r [mm]
114rpm
134rpm
171rpm
Variable Speed
-2
0
2
4
6
8
10
12
14
16
18
0 500 1000 1500 2000 2500 3000 3500
Twis
t D
istr
ibuti
on -
-q[°
]
Radial Station -- r [mm]
114rpm
134rpm
171rpm
Variable Speed
NREL S822 Airfoilat All Stations
Cp –vs- TSR
0
0.1
0.2
0.3
0.4
0.5
0.6
0 2 4 6 8 10 12 14 16 18 20
Stea
dy A
erod
ynam
ic P
ower
Coe
ffici
ent -
-Cp
Tip Speed Ratio -- TSR
Fixed Speed 114rpm Rotor
Fixed Speed 134rpm Rotor
Variable Speed Rotor
Fixed Speed 171rpm Rotor
Re=5 10∙ 5
Aerodynamic Power
0
1000
2000
3000
4000
5000
6000
7000
0 1 2 3 4 5 6 7 8 9 10
Mea
n Ae
rody
nam
ic R
otor
Pow
er --
P aer
o[W
]
Turbulent Mean Wind Speed -- Vavg [m/s]
Variable Speed Rotor
Fixed Speed 114rpm Rotor
Fixed Speed 134rpm Rotor
Fixed Speed 171rpm Rotor
IEC 61400-2 Class 3 Turbulence Distribution (18% Average)
171rpm is Too High for Fixed Speed
VS is only superior near cut-in
Generator Power
0
1000
2000
3000
4000
5000
6000
7000
0 1 2 3 4 5 6 7 8 9 10
Mea
n G
ener
ator
Pow
er --
P gen
[W]
Turbulent Mean Wind Speed -- Vavg [m/s]
Variable Speed Rotor
Fixed Speed 114rpm Rotor
Fixed Speed 134rpm Rotor
Fixed Speed 171rpm Rotor
IEC 61400-2 Class 3 Turbulence Distribution (18% Average)
This is the comparison that seems to vindicate
variable speed
Power Delivered to the Grid
0
1000
2000
3000
4000
5000
6000
7000
0 1 2 3 4 5 6 7 8 9 10
Mea
n El
ectr
ical
Pow
er --
P ele
c[W
]
Turbulent Mean Wind Speed -- Vavg [m/s]
Variable Speed Rotor
Fixed Speed 114rpm Rotor
Fixed Speed 134rpm Rotor
Fixed Speed 171rpm Rotor
IEC 61400-2 Class 3 Turbulence Distribution (18% Average)
Relative Annual Energy Capture29.20
26.69
25.64
26.00
26.15
0 5 10 15 20 25 30
Variable Speed Generator Power
Variable Speed Electrical Power
Fixed Speed 171rpm Electrical Power
Fixed Speed 134rpm Electrical Power
Fixed Speed 114rpm Electrical Power
Net Annual Energy Production [MWhr/yr]
100.0%
96.1%
97.4%
98.0%
90% 92% 94% 96% 98% 100%
Variable Speed Electrical Power
Variable Speed Generator Power
Fixed Speed 171rpm Electrical Power
Fixed Speed 134rpm Electrical Power
Fixed Speed 114rpm Electrical Power
IEC 61440-2 Class 3
Vavg=7.5m/s Vcutout=25m/s
Line losses = 5% Availability=95%
Cost of EnergyVariable-
Speed Grid Connected
Fixed Speed 171rpm Grid Connected
Fixed Speed 134rpm Grid Connected
Fixed Speed 114rpm Grid Connected
Rotor 2,167$ 2,167$ 2,417$ 2,667$ Main Frame Integrated 300$ 300$ 300$ Main Bearing & Shaft Integrated 225$ 225$ 225$ Gearbox n/a 525$ 650$ 775$ Generator 2,658$ 625$ 625$ 625$ Controller 450$ 250$ 250$ 250$ Power Converter 5,450$ n/a n/a n/aAll other turbine hardware + OH + markup + S&H 8,721$ 8,721$ 8,721$ 8,721$ Turbine Retail Cost, Delivered 19,446$ 12,813$ 13,188$ 13,563$ 60' Tower, Delivered 11,500$ 11,500$ 11,500$ 11,500$ Balance of Station 6,500$ 6,500$ 6,500$ 6,500$
Turbine Installed Cost 37,446$ 30,813$ 31,188$ 31,563$
Turbine Annualized Cost 3,790$ 3,118$ 3,156$ 3,194$ Annualized Recurring Costs 400$ 400$ 400$ 400$
Total Annual Cost of Ownership 4,190$ 3,518$ 3,556$ 3,594$
Relative Cost of Ownership 117.8% 98.9% 100.0% 101.1%
Net Annual Energy (kWh/yr) 26,693 25,640 26,003 26,150
Levelized Cost of Energy 0.157$ 0.137$ 0.137$ 0.137$ Relative COE 114.8% 100.3% 100.0% 100.5%
Relative Cost of Energy
102.7%
98.6%
100.0%
100.6%
117.8%
98.9%
100.0%
101.1%
90% 95% 100% 105% 110% 115% 120%
Variable-Speed Grid Connected
Fixed Speed 171rpm Grid Connected
Fixed Speed 134rpm Grid Connected
Fixed Speed 114rpm Grid Connected
Relative Energy Production and Cost
Energy Production
Cost of Ownership
Impact of Configuration Changes
• Drop VS range to 60-130 rpm– Increases energy capture 1%– Doubles the generator cost (+5% on turbine cost)
• Geared High-speed synch gen for VS– Shaves 3% off cost of turbine– Increases losses 4-5% in the gearbox
• Halve cost of converter and increase efficiency to 95%– Fixed speed still has a 5% advantage in COE
Conclusions
• Variable speed operation of a grid-connected small wind turbine offers small advantage in terms of energy capture compared to fixed speed operation when the losses associated with the AC-DC-AC power converter are considered. The advantage identified here is on the order of 2%.
• Variable speed operation of a small wind turbine delivers energy to the grid at a cost that is 15% higher than that from the best fixed-speed turbine.
Conclusions
• It is unlikely that improvements in the performance of the power converter, combined with reductions in the cost of the PM synchronous generator or the power converter alone could produce a cost-of-energy advantage for the variable-speed turbine.