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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 />

q − axis<br />

β<br />

δ Ψ<br />

Ψ s _ ref<br />

∆δ Ψ<br />

θ Ψ<br />

s<br />

Ψ s<br />

Ψ PM<br />

d − axis<br />

θ r<br />

Figure 5.1. <strong>Space</strong> vector diagram illustrating torque control conditions.<br />

α<br />

5.2 Cascade structure <strong>of</strong> <strong>DTC</strong>–<strong>SVM</strong> scheme<br />

The structure <strong>of</strong> proposed control scheme is shown in the Fig. 5.2. [11,33,42,48,51,53,54]<br />

U DC<br />

Ψ s _ ref<br />

U<br />

s α _ ref<br />

S A<br />

S B<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 />

γ m<br />

Figure 5.2. Cascade structure <strong>of</strong> <strong>DTC</strong>-<strong>SVM</strong> scheme.<br />

The error between reference and measured torque can be expressed as:<br />

Ψ Ψ sin( δ +∆δ ) Ψ Ψ sinδ<br />

eM = M − M = p<br />

− (5.3)<br />

3 s_<br />

ref PM Ψ Ψ<br />

_<br />

[<br />

s PM Ψ<br />

e ref e b<br />

]<br />

2<br />

Ls<br />

Ls<br />

From equation (5.3) we can see that the relation between torque error and increment <strong>of</strong> load<br />

angel<br />

∆δ Ψ<br />

is nonlinear. Therefore, we used PI controller which generates the load angel<br />

66

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