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

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Modeling and control modes of PM synchronous motor drives q− axis I sq I s Ω s δ I d − axis I sd Ψ PM Figure 2.5. Stator current vector in rotor reference frame. For two current components using trigonometrical rules we can write: I = I cosδ (2.54a) sd s I I = I sinδ (2.54b) sq s I Substituting I , I into equation (2.52), the torque expression can be obtain as: sd sq M 3 1 2 e = b[ PM sin I ( q d) sin2 I] 2 p Ψ I s δ − 2 L − L I s δ (2.55) M es For given current amplitude the synchronous and reluctances torque varies according to the sine of torque angle δ I . The variation of M er M es and M er and resultant torque M e with torque angle are illustrated in Fig. 2.6. The IPMSM parameters used for this calculation are given in the Appendices. e [ ] M Nm M [ ] er Nm M es [ Nm ] [deg] δ I Figure 2.6. Variation of synchronous torque M es , reluctance torque M er and resultant torque M as a function of torque angle (for rated current amplitude). e 20
Modeling and control modes of PM synchronous motor drives Referring to Fig. 2.7, stator flux components in rotor reference frame can be written as: where: Ψ = Ψ cos = LI +Ψ (2.56a) sd s δ Ψ d sd PM Ψ = Ψ sin = LI (2.56b) sq s δ Ψ q sq Ψ s is stator flux linkage amplitude, Ψ PM is rotor permanent magnet and δ Ψ is torque angle (angle between stator flux linkage vector and rotor permanent magnets flux vector). q− axis I sq Ψ sd Ψ PM I s Ω s Ψ s Ψ sq = LqI sq LI d sd δ Ψ I sd d − axis Ψ sd = LI d sd +ΨPM Figure 2.7. Rotor permanent magnet flux vector and stator flux linkage vector in rotor reference frame. From (2.56a) and (2.56b) the I sd and Isq can be obtained as: I I sd sd Ψs cosδ Ψ −ΨPM = (2.57a) L d Ψs sinδ = Ψ (2.57b) L q Substituting current components (2.57a), (2.57b) into equation (2.51), one can obtain another useful torque expressions: M e 3 Ψ sin 2 s ΨPM δΨ Ψs ( Lq −Ld)sin2δ Ψ = pb[ − ] 2 Ld 2LdL q Mes M er (2.58) where: Ψ s stator flux linkage amplitude, and Ψ PM rotor flux, δ Ψ is torque angle, M es - synchronous torque, M er - reluctance torque. 21
Page 1 and 2: POLITECHNIKA WARSZAWSKA WARSAW UNIV
Page 3 and 4: Contents Table of Contents Chapter
Page 5 and 6: Introduction Chapter 1 INTRODUCTION
Page 7 and 8: Introduction to surface-mounted mac
Page 9 and 10: Introduction vector control, which
Page 11 and 12: Introduction presented and studied.
Page 13 and 14: Modeling and control modes of PM sy
Page 23: 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
Page 69 and 70: Direct Torque Control with Space Ve
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Direct Torque Control with Space Ve
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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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