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

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Sensorless Speed Direct Torque Control with Space Vector Modulation (DTC-SVM) Is α Is β U s α Ψ sα Ψ sβ Ω = Ψs d dt θ Ψ s dδ Ψ dt − 1 p b Ω m U s β Figure 6.12. Block diagram of stator flux vector based rotor speed estimator. The synchronous speed Ω Ψs is calculated based on the stator flux estimator: θ Ψ s Ψ sβ = arctg( ) Ψ sα (6.22) and the calculation of ΩΨs can be done as: The estimation of the synchronous speed dθ θ s Ψs( k) −θ Ψ Ψs( k−1) Ω Ψs = = (6.23) dt T s Ω Ψs based on the derivative of the position of stator flux space vector can be modified taking in to account equation (6.22), which finally gives [12]: Ψ Ω = Ψs sα dΨ sβ −Ψ dt Ψ +Ψ sβ 2 2 sα sβ dΨ dt sα (6.24) Digital implementation of equation (6.24) can be written as: Ψ Ψ −Ψ Ψ Ω = Ψ T sα( k−1) sβ( k) sβ( k−1) sα( k) Ψs( k) 2 s s (6.25) Also from equation (2.27b) in stator flux coordinate system the synchronous speed can be obtained as: Ω Ψs U − R I E Ω Ψs = = Ψ Ψ sy s sy sy s s (6.26) 134
Sensorless Speed Direct Torque Control with Space Vector Modulation (DTC-SVM) Calculation of d δ Ψ dt Based on the flux-current (Eq. 2.29b) and torque (Eq. 2.58) equations in stator flux coordinates under consideration that for surface PMSM machine L d = L q and making assumption that for small changes of torque angleδ Ψ , the sinδ be written as: Ψ = δ , the equations can Ψ 0= LI −Ψ sin (6.27) s sy PM δ Ψ 3 M e = pbΨ PMIsy (6.28) 2 the torque angle δ Ψ can be calculated as: LI s sy 2ML e s δ Ψ = = Ψ 3p Ψ Ψ PM b s PM (6.29) Further, the d dt δ Ψ is calculated as: ( ) ( 1) δΨ Ψ k Ψ k− d dt δ −δ = (6.30) T s Figure 6.13. Simulated oscillograms of rotor speed estimation according to block scheme from Fig. 6.12 (in Saber). From the top: synchronous speed Ω Ψs , the d signal, the measured and dt estimated rotor speed, the measured and estimated electromagnetic torque. δ Ψ 135
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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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Control methods of PM Synchronous m
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Direct Torque Control with Space Ve
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Page 87 and 88: Direct Torque Control with Space Ve
Page 125 and 126: Sensorless Speed Direct Torque Cont
Page 137: Sensorless Speed Direct Torque Cont
Page 141 and 142: DSP implementation of DTC-SVM contr
Page 165 and 166: Summary and closing conclusion Chap
Page 167 and 168: Appendices APPENDICES A1 Rotor and
Page 169 and 170: Appendices ⎡ ⎤ ⎢ 1 0 ⎥ ⎡K
Page 171 and 172: Appendices i(t1->t0)+=it1 it1: it1=
Page 173 and 174: Appendices A7 PWM technique - six s
Page 175 and 176: List of symbol List of symbols Symb
Page 177 and 178: References Books and PhD-Thesis 1.
Page 179 and 180: References 39. J.-I. Itoh, N. Nomur
Page 181 and 182: References 74. N. Ertugrul, P. Acar
Page 183 and 184: References 108. D. Świerczyński,
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