Dr. Longya Xu The Ohio State University April, 2010 1. 2. Introduction Major Wind Power System Configurations Challenges to Remain in Power Grid Why PM Direct-Driven WTG Getting Popular Initial Design and Performance Analysis Specifications and Sizing Stator and Rotor Design Performance Evaluation 3. Conclusions V Rated(V, rms) I Rated(A, rms) KW Rated 690 1700 2,000 Frequency Speed Torque (peak) 5~11Hz 10~22 rpm 850kNm The reason for low speed at:10~22 rpm Tip Speed of Wind Blades: vtip = 115 meters/sec. The reason for low Frequency at:5~11 hz Consider the electrical and magnetic loadings are relatively constant, we have a traditional sizing equation: Te r D L 2 r (1) where subscript “r” indicates rotor related variables. In (1) the electrical loading refers the current along the airgap in the unit of Ampere per Meter (A/M). The magnetic loading refers the magnetic flux density passing through air-gap in the unit of Tesla. Te 0 D L 3 0 (2) where subscript “o” indicates the stator related variables and 0 a coefficient proportion to the current density and magnetic flux density. Here current density is in the unit of Ampere per Square Meter and magnetic flux density in Tesla. 0 is also closely Do/Dr related and at certain value of Do/Dr, 0 is maximized, or D03 L minimized. Combining (1) and (2), we have two new sizing equations, one in terms of stator OD Te D L ' 0 2.5 0 (3) another in terms of rotor OD Te D L ' r 2.5 r (4) In sizing an electric machine, the new equations take many variables into consideration: electrical loading, magnetic loading, Do/Dr ratio, and slot current density. Sizing Results Stator OD 3820mm Pole # 60 Stator ID 3500mm Slot # 288 Stack L 1300mm Air-gap 6mm Stack length: 1300 Airgap: 6 R1750 R1910 21x120 17.2 Stator current density at 2 MW 4 2 78 0.77(A/mm2) 12 Stator Slot Shape and Dimensions Inner Rotor Outer Rotor Estimated Copper Losses Pcu= 3I2R = 2.7~3 kw Assume equal amount of iron and other losses PFe+other = ~3 kw Expected energy efficiency Effi. = 97% (1) Outer Rotor with 360 Stator Slots In order to keep copper losses the same in comparison, some changes are made as follows: • Cross-section of stator slot for conductor: 1400mm2 (288 slots) vs. 1120mm2 1400*288/360 (360 slots) • Current (peak) flow in each conductor: 1300A(288 slots) vs. 1040A (360 slots)1300*8/10 (1) Outer Rotor with 360 Stator Slots XY Plot 1 Ansoft Corporation Outer rotor3 20.00 Curve Info FluxLinkage(WindingA) Setup2 : Transient 15.00 FluxLinkage(WindingB) Setup2 : Transient 10.00 FluxLinkage(WindingC) Setup2 : Transient Winding Flux Linkage 0.00 -5.00 -10.00 -15.00 -20.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 Time [ms] XY Plot 5 Ansoft Corporation Outer rotor3 800.00 Curve Info Moving1.Torque Setup2 : Transient 600.00 Torque Production Moving1.Torque [kNewtonMeter] Y1 [Wb] 5.00 400.00 200.00 0.00 -200.00 -400.00 -600.00 -800.00 0.00 20.00 40.00 60.00 80.00 Time [ms] 100.00 120.00 140.00 (2) Outer Rotor with 288 Stator Slots (2) Outer Rotor with 288 Stator Slots XY Plot 1 Ansoft Corporation Outer rotor 15.00 Curve Info FluxLinkage(WindingA) Setup2 : Transient FluxLinkage(WindingB) Setup2 : Transient 10.00 FluxLinkage(WindingC) Setup2 : Transient Winding Flux Linkage 0.00 -5.00 -10.00 -15.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 Time [ms] XY Plot 5 Ansoft Corporation Outer rotor 800.00 Curve Info Moving1.Torque Setup2 : Transient 600.00 400.00 Torque Production Moving1.Torque [kNewtonMeter] Y1 [Wb] 5.00 200.00 0.00 -200.00 -400.00 -600.00 -800.00 0.00 20.00 40.00 60.00 80.00 Time [ms] 100.00 120.00 140.00 (3) Inner Rotor with 360 Stator Slots (3) Inner Rotor with 360 Stator Slots XY Plot 2 Ansoft Corporation Innerrotor1 20.00 Curve Info FluxLinkage(Winding1) Setup1 : Transient 15.00 FluxLinkage(Winding2) Setup1 : Transient 10.00 FluxLinkage(Winding3) Setup1 : Transient Winding Flux Linkage 0.00 -5.00 -10.00 -15.00 -20.00 0.00 20.00 40.00 60.00 Time [ms] 80.00 100.00 120.00 XY Plot 1 Ansoft LLC Innerrotor1 800.00 Curve Info Moving1.Torque Setup1 : Transient 600.00 Torque Production Moving1.Torque [kNewtonMeter] Y1 [Wb] 5.00 400.00 200.00 0.00 -200.00 -400.00 -600.00 -800.00 0.00 20.00 40.00 60.00 80.00 Time [ms] 100.00 120.00 140.00 (4) Inner Rotor with 288 Stator Slots (4) Inner Rotor with 288 Stator Slots XY Plot 3 Ansoft LLC Innerrotor 15.00 Curve Info FluxLinkage(WindingA) Setup1 : Transient FluxLinkage(WindingB) Setup1 : Transient 10.00 FluxLinkage(WindingC) Setup1 : Transient Winding Flux Linkage 0.00 -5.00 -10.00 -15.00 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 Time [ms] XY Plot 1 Ansoft LLC Innerrotor 800.00 Curve Info Moving1.Torque Setup1 : Transient 600.00 Torque Production Moving1.Torque [kNewtonMeter] Y1 [Wb] 5.00 400.00 200.00 0.00 -200.00 -400.00 -600.00 -800.00 0.00 20.00 40.00 60.00 80.00 Time [ms] 100.00 120.00 140.00