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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 />

increment required to minimize the instantaneous error between reference<br />

M and actual<br />

e_<br />

ref<br />

M<br />

e<br />

torque.<br />

In control scheme <strong>of</strong> Fig. 5.2 the torque error signal e M<br />

is delivered to the PI controller,<br />

which determines the increment <strong>of</strong> torque angle<br />

∆ δ Ψ<br />

. Based on this signal and reference<br />

amplitude <strong>of</strong> stator flux<br />

Ψ , the reference voltage vector in stator coordinates α,<br />

β is<br />

s _ ref<br />

calculated. The calculation block <strong>of</strong> reference voltage vector also uses information about the<br />

actual stator flux vector (amplitude<br />

Ψ<br />

s<br />

and position θ Ψ s<br />

) as well as measured current vector<br />

I<br />

s<br />

. The reference stator voltage vector is delivered to space vector modulator (<strong>SVM</strong>), which<br />

generates the switching signals<br />

S , S , S for power transistors <strong>of</strong> inverter.<br />

A<br />

B<br />

C<br />

The calculation block <strong>of</strong> reference voltage vector is shown in Fig. 5.3.<br />

Ψ s _ ref<br />

RsI s α<br />

Ψ<br />

s α _ ref<br />

∆Ψ sα<br />

U α<br />

_<br />

s<br />

_ ref<br />

∆δ Ψ<br />

−<br />

Ψ<br />

s β _ ref<br />

∆Ψ sβ<br />

−<br />

U<br />

s β ref<br />

θ Ψs<br />

Ψ sα<br />

Ψ sβ<br />

Rs<br />

Is<br />

β<br />

Figure 5.3. Calculation block <strong>of</strong> reference voltage vector.<br />

Based on<br />

∆ signal, reference <strong>of</strong> stator flux amplitude Ψ<br />

s _ ref<br />

and measured stator flux<br />

δ Ψ<br />

vector position<br />

θ Ψ s<br />

(Fig. 5.3.), the reference flux components<br />

Ψ Ψ in stator<br />

s α _ ref<br />

,<br />

sβ<br />

_ ref<br />

coordinate system are calculated as:<br />

Ψ = Ψ cos( θ +∆δ<br />

)<br />

sα<br />

_ ref s_<br />

ref Ψs<br />

Ψ = Ψ sin( θ +∆δ<br />

)<br />

sβ<br />

_ ref s _ ref Ψs<br />

Ψ<br />

Ψ<br />

(5.4)<br />

Pleas note that for constant flux operation region the reference value <strong>of</strong> stator flux amplitude<br />

Ψ is equal flux amplitude <strong>of</strong> permanent magnet Ψ<br />

PM<br />

.<br />

s _ ref<br />

67

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