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

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Voltage source PWM inverter for PMSM supply<br />

The one leg <strong>of</strong> inverter consists <strong>of</strong> two transistor switches. A simple transistor switch<br />

consist <strong>of</strong> feedback diode connected in anti-parallel <strong>with</strong> transistor. Feedback diode<br />

conducts current when the load current direction is opposite to the voltage direction.<br />

Assuming that the power devices are ideal: when they are conducting the voltage across<br />

them is zero and they present an open circuit in their blocking mode. Therefore, each<br />

inverter leg can be represented as an ideal switch. Its gives possibility to connect each<br />

<strong>of</strong> the three motor phase coils to a positive or negative voltage <strong>of</strong> the dc link ( U ).<br />

Thus the equivalent scheme for three-phase inverter and possible eight combinations <strong>of</strong><br />

the switches in the inverter are shown in Fig. 3.5.<br />

DC<br />

U<br />

7<br />

= 111<br />

U<br />

0<br />

= 000<br />

U DC<br />

1 1<br />

S<br />

A<br />

SB<br />

1<br />

S C<br />

U DC<br />

S<br />

A<br />

0 0<br />

SB<br />

0<br />

S C<br />

U<br />

1<br />

= 100<br />

A B C<br />

U<br />

2<br />

= 110<br />

A B C<br />

U<br />

3<br />

= 010<br />

U DC<br />

1<br />

SA<br />

0<br />

SB<br />

0<br />

S C<br />

U DC<br />

1 1<br />

S<br />

A<br />

SB<br />

0<br />

S C<br />

U DC<br />

0<br />

S<br />

A<br />

1<br />

SB<br />

0<br />

S C<br />

U<br />

4<br />

= 011<br />

A B C<br />

U<br />

5<br />

= 001<br />

A B C<br />

U<br />

6<br />

= 101<br />

A B C<br />

U DC<br />

0<br />

SA<br />

1<br />

SB<br />

1<br />

S C<br />

U DC<br />

0<br />

S<br />

A<br />

0<br />

SB<br />

1<br />

S C<br />

U DC<br />

1<br />

S<br />

A<br />

0<br />

SB<br />

1<br />

S C<br />

A B C<br />

A B C<br />

A B C<br />

Figure 3.5 Possible switches state in VSI.<br />

The six positions <strong>of</strong> switches ( U1 − U6) produce an output phase voltage equal ± 1/3 or<br />

± 2/3 <strong>of</strong> the DC voltage. The last two ( U0,<br />

U<br />

7) give zero output voltage. The output<br />

phase voltages produced by inverter are shown in Fig. 3.6a. and adequate line to line<br />

voltage calculated in bellow formula also are presented in Fig. 3.6b.<br />

UsAB = UsAN − UsBN<br />

(3.1a)<br />

UsBC = UsBN − UsCN<br />

(3.1b)<br />

UsCA = UsCN − UsAN<br />

(3.1c)<br />

36

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