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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 />

As an example the calculated response for 4 samples are given:<br />

n<br />

∑<br />

k = 0<br />

f kT az az a a az<br />

−2 −3 −4<br />

(<br />

s<br />

) = + 2 − (1 + ) + 2 + .......<br />

which gives:<br />

f(0) = f( k) = 0<br />

f(1 T ) = f( k+ 1) = 0<br />

s<br />

f(2 T ) = f( k+ 2) = a=<br />

0.2688<br />

s<br />

f(3 T ) = f( k+ 3) = a( b+ 1) = 2a=<br />

0.5376<br />

s<br />

f T f k a b c a b a a a<br />

2<br />

(4<br />

s<br />

) = ( + 4) =− ( + ) + ( + 1) =− (1 + ) + 2 = 0.7342<br />

Keeping constant<br />

C Ψ d<br />

in equation (5.57) the flux step response for different sampling time<br />

T<br />

s<br />

= 50 µ s,<br />

100 µ s,<br />

200 µ s,<br />

400µ s , which correspond to switching frequency f s<br />

= 20kHz,<br />

10kHz, 5kHz, 2.5kHz are presented.<br />

1<br />

2<br />

3<br />

4<br />

Figure 5.31.Flux step response for different sampling time T<br />

s<br />

= 50 µ s,<br />

100 µ s,<br />

200 µ s,<br />

400µ<br />

s<br />

(switching frequency f<br />

s<br />

20kHz (1 -blue line), 10kHz (2 -green line), 5kHz (3 -red line),2.5kHz<br />

(4 -light blue line).<br />

We may observe from Fig. 5.31 that overshoot is 0% and the settling time is 10 samples.<br />

Selected parameters <strong>of</strong> PI flux controller for sampling time T s<br />

= 50 µ s,<br />

100 µ s,<br />

200 µ s,<br />

400µ s are summarized in Table 5.3<br />

95

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