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

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Appendices<br />

APPENDICES<br />

A1 Rotor and stator <strong>of</strong> PMSM machine<br />

A1.1. View <strong>of</strong> rotor (on the left side) and stator armature (on the right side) <strong>of</strong> PMSM.<br />

A2 Basic transformation<br />

y<br />

β<br />

K B<br />

K<br />

θ K<br />

K β<br />

K y<br />

K<br />

x<br />

K α<br />

θ K<br />

α<br />

x<br />

K A<br />

K C<br />

Fig. A2.1. <strong>Space</strong> vector representation in stationary α,<br />

β coordinates and synchronous<br />

rotating x,<br />

y coordinates.<br />

A, BC , ⇒ xy ,<br />

2<br />

Kx = [ KA cos θ<br />

K<br />

+ KB cos(2 π / 3 − θK ) + KC cos(2 π / 3 + θK<br />

)]<br />

3<br />

2<br />

Ky = [ KA cos( π /2 + θK ) + KB cos(2 π /3 − ( π /2 + θK )) + KC cos(2 π /3 + π /2 + θK<br />

)]<br />

3<br />

163

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