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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 references <strong>of</strong> stator flux components (see Fig. 5.3) are compared <strong>with</strong> estimated value:<br />

Ψ<br />

Ψ<br />

= Ψ<br />

cos θ ,<br />

sα<br />

s Ψs<br />

= Ψ<br />

sin θ ,<br />

sβ<br />

s Ψs<br />

The command voltage can be calculated from flux errors in<br />

(5.5)<br />

α, β coordinate system as<br />

follows:<br />

U<br />

U<br />

∆Ψ<br />

= + R I<br />

sα<br />

sα<br />

_ ref s sα<br />

Ts<br />

∆Ψ<br />

= + R I<br />

sβ<br />

sβ<br />

_ ref s sβ<br />

Ts<br />

(5.6)<br />

Where: T<br />

s<br />

is sampling time,<br />

∆Ψ = Ψ − Ψ , ∆Ψ =Ψ<br />

_<br />

−Ψ .<br />

sα sα_<br />

ref sα<br />

sβ sβ ref sβ<br />

The presented bellow design methodology for flux and torque control loops based on the<br />

approach presented in literature [11,43].<br />

5.2.1 Digital flux control loop<br />

The flux control loop is based on the voltage equations <strong>of</strong> PMSM machine in stator<br />

coordinates.<br />

U<br />

U<br />

dΨ<br />

dt<br />

sα<br />

sα<br />

= RsIsα<br />

+ (5.7a)<br />

dΨ<br />

sβ<br />

sβ<br />

= RsIsβ<br />

+ (5.7b)<br />

dt<br />

Using Laplace transformation the above equations can be written as:<br />

U = sΨ + R I<br />

(5.8a)<br />

sα sα s sα<br />

U = sΨ + R I<br />

(5.8b)<br />

sβ sβ s sβ<br />

It corresponds to flux model <strong>of</strong> PMSM machine in α,<br />

β system presented in Fig. 5.4.<br />

68

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