Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...

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Direct Torque Control with Space Vector Modulation Figure 5.13. Flux tracking performance for different sampling time T s = 50µ s , 100µ s , 200µ s , 400µ s ( f s = 20kHz, 10kHz, 5kHz,2.5kHz) using designed gain of P controller calculated individually (see table 5.1.) The simulation results in SABER package for Ts=200us is presented in Fig. 5.14. Figure 5.14. Simulated (SABER) flux tracking performance for step change from 70% - 100% of nominal flux. As we can observed from Fig. 5.14 that overshoot is around M p = 0% and settling time took about 10 sampling time of microprocessor, what proved the design procedure of P digital flux controller gain. 78
Direct Torque Control with Space Vector Modulation 5.2.2 Digital torque control loop The considered torque control loop is shown in Fig. 5.15. Ψ s _ ref M e _ ref − Torque controller PI ∆δ Ψ Reference flux generator In stator frame Ψ s α _ ref Ψ s β _ ref − ∆Ψ sα − ∆Ψ sβ Flux controllers In stator frame U s α _ ref U s β _ ref M e θ Ψs Ψ sα Ψ sβ Figure 5.15. Torque control loop with PI controller. Based on the equation (5.9a-b and 5.10a-b) the stator flux errors in α, β coordinates can be calculated as: ∆Ψ α = Ψ cos( θ + ∆δ ) − Ψ cos θ = Ψ [cos( θ + ∆δ ) − cos θ ] s s_ ref Ψs Ψ s_ ref Ψs s_ ref Ψs Ψ Ψs (5.21a) ∆Ψ β = Ψ sin( θ +∆δ ) − Ψ sin θ = Ψ [sin( θ +∆δ ) − sin θ ] s s_ ref Ψs Ψ s_ ref Ψs s_ ref Ψs Ψ Ψs (5.21b) Assuming that for small changes of ∆δ Ψ the cos ∆δ Ψ ≅ 1and sin ∆δ Ψ ≅∆ δ Ψ , the equations (5.21a) and (5.21b) are given by: ∆Ψ α _ = − Ψ _ ∆ δ sinθ (5.22a) s ref s ref Ψ Ψs ∆Ψ β _ = Ψ _ ∆ δ cosθ (5.22b) s ref s ref Ψ Ψs In order to design the PI torque controller the following assumption are made: • stator flux vector position θ Ψ s and rotor flux vector position θ r are equal zero. It correspond to situation, when those two flux vectors lie along theα axis, • the reference stator flux amplitude is equal value of permanent magnet flux Ψ s _ ref =Ψ PM , • stator resistance is neglected. Therefore, the error stator fluxes in α, β coordinates are calculated as: ∆Ψ = , (5.23a) sα _ ref 0 79
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POLITECHNIKA WARSZAWSKA WARSAW UNIV
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Contents Table of Contents Chapter
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Introduction Chapter 1 INTRODUCTION
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Introduction to surface-mounted mac
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Introduction vector control, which
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Introduction presented and studied.
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Modeling and control modes of PM sy
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Page 31 and 32: Modeling and control modes of PM sy
Page 39 and 40: Voltage source PWM inverter for PMS
Page 57 and 58: Control methods of PM Synchronous m
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Page 81: Direct Torque Control with Space Ve
Page 125 and 126: Sensorless Speed Direct Torque Cont
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Sensorless Speed Direct Torque Cont
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DSP implementation of DTC-SVM contr
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Summary and closing conclusion Chap
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Appendices APPENDICES A1 Rotor and
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Appendices ⎡ ⎤ ⎢ 1 0 ⎥ ⎡K
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Appendices i(t1->t0)+=it1 it1: it1=
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Appendices A7 PWM technique - six s
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List of symbol List of symbols Symb
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References Books and PhD-Thesis 1.
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References 39. J.-I. Itoh, N. Nomur
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References 74. N. Ertugrul, P. Acar
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References 108. D. Świerczyński,
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