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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 />

5.4 Speed control loop for <strong>DTC</strong>-<strong>SVM</strong> structure<br />

The structure <strong>of</strong> speed control loop for cascade (a) and parallel (b) <strong>DTC</strong>-<strong>SVM</strong> scheme<br />

is shown in the Fig. 5.46.<br />

a)<br />

U DC<br />

Ψ s _ ref<br />

U<br />

s α _ ref<br />

S A<br />

S B<br />

Ω m _ ref<br />

M e _ ref<br />

e M<br />

∆δ Ψ<br />

U<br />

s β _ ref<br />

S C<br />

θ Ψs Ψs<br />

I s<br />

M e<br />

I s<br />

d<br />

dt<br />

γ m<br />

U DC<br />

b)<br />

Ψ s _ ref<br />

e Ψ<br />

ss<br />

U sx _ ref<br />

s<br />

_ ref<br />

S A<br />

S B<br />

Ω m _ ref<br />

M e _ ref<br />

e M<br />

U sy _ ref<br />

U α<br />

U<br />

s β _ ref<br />

S C<br />

θ Ψs<br />

Ψ<br />

I s<br />

M e<br />

d<br />

dt<br />

Figure 5.46. Speed control loop for: a) cascade structure <strong>of</strong> <strong>DTC</strong>-<strong>SVM</strong> scheme, b) parallel<br />

structure <strong>of</strong> <strong>DTC</strong>-<strong>SVM</strong> scheme.<br />

γ<br />

m<br />

The mechanical speed equation (2.66) for the PMSM is:<br />

dΩ<br />

M M J dt<br />

m<br />

e<br />

−<br />

L<br />

= (5.81)<br />

Taking Laplace transformation to equation (5.81) one obtains:<br />

M () s − M () s = JsΩ () s<br />

(5.82)<br />

e L m<br />

The transfer function between mechanical rotor speed<br />

M<br />

e<br />

can be expressed as:<br />

Ω<br />

m<br />

and electromagnetic torque<br />

110

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