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

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<strong>Direct</strong> <strong>Torque</strong> <strong>Control</strong> <strong>with</strong> <strong>Space</strong> <strong>Vector</strong> <strong>Modulation</strong><br />

K<br />

pΨ<br />

C<br />

A<br />

Ψd<br />

Ψd<br />

= = (5.19)<br />

Ψd<br />

C<br />

T<br />

s<br />

For example let us assume that sampling time in digital flux control loop is equal T = 200µ<br />

s.<br />

The gain <strong>of</strong> P controller is:<br />

s<br />

K<br />

pΨ<br />

0.2688 0.2688<br />

= = = 1344<br />

(5.20)<br />

A 0.0002<br />

Ψd<br />

In digital control when the sampling time changes the parameters <strong>of</strong> digitalized plant control<br />

A Ψ d<br />

will also change. Therefore, to keep closed loop transfer function as close as possible to<br />

G<br />

C<br />

0.2688<br />

( z)<br />

= =<br />

, the gain <strong>of</strong> P flux controller should also be<br />

z − z+ C z −z+ 0.2688<br />

Ψd<br />

Ψ _ closed<br />

2 2<br />

Ψd<br />

changed (see Table 5.1.).<br />

Keeping constant transfer function GΨ _ closed<br />

( z)<br />

the flux step response for different sampling<br />

times<br />

T<br />

s<br />

= 50µ s , 100µ s , 200µ s , 400µ s , which correspond to switching frequency f s<br />

=<br />

20kHz, 10kHz, 5kHz, 2.5kHz are presented in Fig. 5.11.<br />

Figure 5.11. Flux tracking performance for different sampling times T<br />

s<br />

= 50µ s (blue line -1), 100µ<br />

s<br />

(green line -2), 200µ s (red line -3), 400µ s (light blue line -4).<br />

74

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