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

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Direct Torque Control with Space Vector Modulation Figure 5.33. 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 parameters of PI controller calculated individually (see table 5.3.) The simulation results in SABER package for Ts=200us is presented in Fig. 5.34. Figure 5.34. Simulated (SABER) flux tracking performance for step change from 70% - 100% of nominal flux. As we can observed from Fig. 5.34 that overshoot is around M p = 0% and settling time took about 10 sampling time of microprocessor, what proved the design procedure of PI digital flux controller parameters. 98
Direct Torque Control with Space Vector Modulation 5.3.2 Digital torque control loop The PMSM equations (2.27a,b-2.28a,b) in stator flux coordinates under the assumption L d = L can be written as: q U = R I +ΩΨ Ψ (5.59) sy s sy s s 0 LI sin = −Ψ (5.60) s sy PM δ Ψ 3 M e = pb Ψ I s sy (5.61) 2 dΩ m 1 = ( M e − M l ) (5.62) dt J The load angle can be expressed (Fig. 5.1): δ = θ − p γ , (5.63) Ψ Ψs b m Where: δ Ψ is torque angle, θ Ψ s is stator flux vector position, and γ m is rotor position in stator α, β coordinates, p b is number of pole pars. After differentiation equation (5.63) can be written as: dδ dθ dγ dt dt dt Ψ Ψs m = − pb (5.64) δ Ψ d dt δ Ψ d =ΩΨ −p s bΩm ⇒Ω Ψ s = + pbΩ m (5.65) dt Putting equations (5.64) and (5.65) into voltage equation (5.59) one obtains: dδ Usy = RsIsy +Ω ( ) s s RsI Ψ Ψ Ψ = sy + Ψ s + pbΩ m (5.66) dt From equation 0= LI −Ψ sin with assumption that for small angle δ = sinδ , the s sy PM torque angle can be expressed as: δ Ψ Ψ Ψ L I s sy δ Ψ = (5.67) Ψ PM So, the voltage equation (5.59) becomes: L dI s sy Usy = Rs Isy +ΩΨ Ψ ( ) s s = Rs Isy + Ψ s + pbΩm Ψ dt PM (5.68) 99
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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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Voltage source PWM inverter for PMS
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Page 51 and 52: Voltage source PWM inverter for PMS
Page 57 and 58: Control methods of PM Synchronous m
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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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