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

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Direct Torque Control with Space Vector Modulation 5.4 Speed control loop for DTC-SVM structure The structure of speed control loop for cascade (a) and parallel (b) DTC-SVM scheme is shown in the Fig. 5.46. a) U DC Ψ s _ ref U s α _ ref S A S B Ω m _ ref M e _ ref e M ∆δ Ψ U s β _ ref S C θ Ψs Ψs I s M e I s d dt γ m U DC b) Ψ s _ ref e Ψ ss U sx _ ref s _ ref S A S B Ω m _ ref M e _ ref e M U sy _ ref U α U s β _ ref S C θ Ψs Ψ I s M e d dt Figure 5.46. Speed control loop for: a) cascade structure of DTC-SVM scheme, b) parallel structure of DTC-SVM scheme. γ m The mechanical speed equation (2.66) for the PMSM is: dΩ M M J dt m e − L = (5.81) Taking Laplace transformation to equation (5.81) one obtains: M () s − M () s = JsΩ () s (5.82) e L m The transfer function between mechanical rotor speed M e can be expressed as: Ω m and electromagnetic torque 110
Direct Torque Control with Space Vector Modulation Ωm 1 1 GΩ () s = = = (5.83) M Js Js e Continuous s-domain The block diagram of speed control loop is shown in Fig. 5.47, where CΩ ( s) is a transfer function of the PI speed controller given by: KiΩ KpΩ( s+ ) 1 K pΩ CΩ() s = KpΩ(1 + ) = (5.84) T s s iΩ and DΩ ( s) is approximated transfer function of closed torque control loop for cascade or parallel DTC-SVM structure. M L Ω m _ ref M e ref _ CΩ () s D () s G () s Ω M e Ω Ω m Figure 5.47. Block diagram of speed control loop in s-domain. Discrete design The transfer function for PI controller in discrete system using backward difference method for discretization process is expressed as: K pΩ ( z − ) KpΩ + KiΩ CΩ( z) = ( KpΩ + KiΩ) (5.85) ( z −1) K pΩ Where: KiΩ = Ts- integration and K p Ω proportional gain of speed controller, T s - T sampling time. iΩ 111
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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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Page 63 and 64: Control methods of PM Synchronous m
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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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