Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...
Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...
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 />
<strong>Control</strong> Plant<br />
P controller<br />
Ψ s_ref<br />
C<br />
Ψ<br />
() s<br />
U s<br />
G<br />
Ψ<br />
() s<br />
Ψ s<br />
Figure 5.7. Block diagram <strong>of</strong> flux controller in s domain.<br />
Hence the transfer function <strong>of</strong> the closed stator flux amplitude control loop is obtained as:<br />
G<br />
Ψ _ closed<br />
Ψ<br />
s<br />
() s<br />
_ ref CΨ() s GΨ()<br />
s<br />
() s = =<br />
Ψ () s 1 + C () s G () s<br />
s<br />
Ψ<br />
Ψ<br />
(5.12)<br />
Substituting transfer function for CΨ ( s)<br />
and GΨ ( s)<br />
one becomes:<br />
⎛1⎞ ⎛1⎞<br />
KpΨ⎜ ⎟ KpΨ⎜ ⎟<br />
s s K<br />
p<br />
GΨ _ closed<br />
() s =<br />
⎝ ⎠<br />
=<br />
⎝ ⎠<br />
=<br />
⎛1<br />
⎞ s+ KpΨ<br />
s+<br />
K<br />
1+ K<br />
pΨ<br />
⎜ ⎟<br />
⎝s<br />
⎠ s<br />
Ψ<br />
pΨ<br />
(5.13)<br />
Discrete design<br />
The transfer function for P controller in discrete system is expressed as:<br />
CΨ( z) = KpΨ<br />
(5.14)<br />
Ψ<br />
s_ ref( z)<br />
C<br />
Ψ<br />
( z)<br />
U<br />
= sα U<br />
s<br />
Dz ( )<br />
z −1<br />
GΨ<br />
( z)<br />
}<br />
ZOH<br />
1<br />
s<br />
Ψ<br />
s<br />
( z)<br />
Figure 5.8. Block diagram <strong>of</strong> flux controller in discrete domain.<br />
Where, CΨ ( z)<br />
is discrete transfer function for P controller, Dz ( )<br />
delay for voltage generation from PWM .<br />
1<br />
z −<br />
is for one sampling time<br />
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