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

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Appendices 2 Kx = [ UA cos θK + KB cos( θK − 2 π / 3) + KC cos( θK + 2 π / 3)] 3 2 Ky = [ −KA sin θK −KB sin( θK − 2 π / 3) − KC sin( θK + 2 π / 3)] 3 ⎡K A ⎤ ⎡K x ⎤ ⎡ cosθK cos( θK − 2 π / 3) cos( θK + 2 π / 3) ⎤⎢ K ⎥ ⎢ B K ⎥ = ⎢ y sinθK sin( θK 2 π / 3) sin( θK 2 π / 3) ⎥⎢ ⎥ ⎣ ⎦ ⎣− − − − + ⎦ ⎢⎣ K ⎥ C ⎦ ABC , , ⇒ α, β θ = 0 2 1 1 K = ( KA B C) 3 − α K K 2 − 2 2 3 3 1 K = ( KB C) ( B C) 3 2 − β K K K 2 = 3 − ⎡ 1 1 ⎤ 1 − − ⎡ K A ⎤ ⎡Kα ⎤ 2 ⎢ 2 2 ⎥ ⎢ K ⎥ ⎢ B K ⎥ = ⎢ ⎥ β 3 3 3 ⎢ ⎥ ⎣ ⎦ ⎢ ⎥ ⎢0 − ⎢⎣K ⎥ C ⎦ ⎣ 2 2 ⎥ ⎦ x, y⇒ A, B, C K KA = Kxcosθ K + Kycos( π / 2 + θK) = KxcosθK − KysinθK KB = Kxcos(2 π / 3 − θK) + Kycos(2 π / 3 − ( π / 2 + θK)) = Kxcos( θK −2 π / 3) −Kysin( θK −2 π / 3) K = K cos(2 π / 3 + θ ) + K cos(2 π / 3 + ( π / 2 + θ )) = K cos( θ + 2 π / 3) − K sin( θ + 2 π / 3) C x K y K x K y K ⎡K A⎤ ⎡ cosθK −sinθK ⎤ ⎢ K x K ⎥ ⎢ B cos( θK 2 π / 3) sin( θK 2 π / 3) ⎥ ⎡ ⎤ ⎢ ⎥ = ⎢ − − − ⎥⎢ K ⎥ y ⎢K ⎥ ⎢ C cos( θK + 2 π / 3) − sin( θK + 2 π / 3) ⎥ ⎣ ⎦ ⎣ ⎦ ⎣ ⎦ α, β ⇒ ABC , , θ = 0 K KA = K α 1 3 KB =− Kα + K 2 2 1 3 KC =− Kα − K 2 2 β β 164
Appendices ⎡ ⎤ ⎢ 1 0 ⎥ ⎡K A ⎤ ⎢ ⎥ ⎢ 1 3 K K ⎥ ⎢ ⎥ ⎡ α ⎤ ⎢ B ⎥ = ⎢ − 2 2 ⎥⎢ K ⎥ β ⎢K ⎣ ⎦ ⎣ ⎥ C ⎦ ⎢ ⎥ ⎢ 1 3⎥ ⎢ − − ⎣ 2 2 ⎥⎦ xy , ⇒ α, β Kα = Kxcosθ K + Kycos( π / 2 + θK) = KxcosθK − KysinθK Kβ = Kxcos( π / 2 − θK) + KycosθK = KxsinθK + KycosθK ⎡Kα ⎤ ⎡cosθK −sinθ K K⎤⎡ x ⎤ ⎢ K ⎥ = ⎢ β sinθK cosθ ⎥⎢ K ⎥ ⎣ ⎦ ⎣ K ⎦⎣ y ⎦ α, β ⇒ x, y Kx = Kα cosθ K + Kβ cos( π / 2 − θK) = Kα cosθK + Kβ sinθK Ky = Kα cos( π / 2 + θK) + Kβ cosθK =− Kα sinθK + Kβ cosθK ⎡Kx ⎤ ⎡ cosθK sinθ K K ⎤⎡ α ⎤ ⎢ K ⎥ = ⎢ y sinθK cosθ ⎥⎢ K ⎥ ⎣ ⎦ ⎣− K⎦⎣ β ⎦ A3 Model of PM synchronous motor # This template models the permanent magnet synchronous motor(pmsm) # t1,t2 and t3 are motor input terminals # rotor speed (in rad/s) is the output # rs-Stator windings' resistence per phase(in Ohms) # ld-d_axis inductance(in H) # lq-q_axis inductance(in H) # pm-Rotor magnet flux(Wb) # j-Moment of inertia(in kgm2) # d- Damping constant (Nm/rad/s) # tl-motor load (Nm) # p-Number of pole pairs # power-The total input power (W) # Assumptions:No core losses,no saturation,thermal effects #(rs,ld,lq and pm values are constants) element template pmsm_dtc t1 t2 t3 t0 speed out_me out_psi out_thetam out_ualf out_ubet out_psia out_psib out_ialf out_ibet out_theta out_tl=rs,ld,lq,pm,d,tl,j,p,init_theta_m,init_omega_m,omega_m_const electrical t1,t2,t3,t0 # motor input terminals and stator neutral point output nu speed, out_me,out_psi,out_thetam,out_ualf,out_ubet,out_psia,out_psib,out_ialf,out_ibet,out_theta,out_tl number rs=0.692,ld=6m,lq=6m,pm=0.26379,d=0.002044,tl=0.0,j=0.003,p=3.0, init_theta_m=0.0,init_omega_m=0.0,omega_m_const=0.0 { 165
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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 117 and 118: Direct Torque Control with Space Ve
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Page 167: Appendices APPENDICES A1 Rotor and
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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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