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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 />

The discrete transfer function <strong>of</strong> digital filter for T = 200µ<br />

s and f = 25Hz<br />

can be<br />

calculated as:<br />

0.015466 (z+1)<br />

FΩ ( z)<br />

= (5.94)<br />

(z-0.9691)<br />

Hence, the transfer function speed control loop <strong>with</strong> digital filter:<br />

s<br />

c<br />

G<br />

Ω _ closed<br />

Ωm( z) CΩ( z) DΩ( z) GΩ( z)<br />

( z)<br />

= =<br />

Ω ( z) 1 + C ( z) D ( z) G ( z) F( c)<br />

m_<br />

ref<br />

Ω Ω Ω<br />

(5.95)<br />

And finally<br />

G<br />

=<br />

Ω _ closed<br />

( z)<br />

=<br />

K<br />

( K + K )( z−b)( z−<br />

) aA<br />

pΩ<br />

pΩ iΩ 1<br />

Ωd<br />

KpΩ<br />

+ KiΩ<br />

K<br />

z bz c z z z b K K z aA a z<br />

2<br />

pΩ<br />

( − + )( −1)( −1)( −<br />

1) + (<br />

pΩ +<br />

iΩ)( − )<br />

Ωd<br />

1( + 1)<br />

KpΩ<br />

+ KiΩ<br />

(5.96)<br />

Selecting<br />

K Ω<br />

, K Ω<br />

will influence poles placement <strong>of</strong> closed speed control loop and as<br />

p<br />

i<br />

a consequence also speed step responses can be selected.<br />

In order to select the best value <strong>of</strong> PI speed controller it is recommended to use the<br />

SISO tools from Matlab package to tune the parameter <strong>of</strong> PI speed controller.<br />

The speed response <strong>with</strong> digital filter simulated in SIMULINK is shown in Fig. 5.50<br />

and simulated in SABER in Fig. 5.51 is presented.<br />

114

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