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Direct Power and Torque Control of AC/DC/AC Converter-Fed ...

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Appendices<br />

3 ⎧2<br />

2 2<br />

2<br />

Im{} S = Q = Im⎨<br />

( U + + ) ( + + ) ⎬ ⎫<br />

A<br />

aU<br />

B<br />

a U<br />

C<br />

I<br />

A<br />

a I<br />

B<br />

aIC<br />

(A.3. 15)<br />

2 ⎩3<br />

3<br />

⎭<br />

Q<br />

1<br />

=<br />

3<br />

[ I ( U −U<br />

) + I ( U −U<br />

) + I ( U −U<br />

)]<br />

A<br />

B<br />

C<br />

B<br />

C<br />

A<br />

C<br />

A<br />

B<br />

(A.3.15a)<br />

1<br />

Q =<br />

A BC B CA<br />

+<br />

3<br />

( I U + I U I U )<br />

C<br />

AB<br />

(A.3.15b)<br />

A.4. Simulation Model <strong>and</strong> Laboratory setup<br />

A.4.1. Saber Model<br />

The control schemes <strong>of</strong> <strong>AC</strong>/<strong>DC</strong>/<strong>AC</strong> converter-fed induction motor drive were<br />

implemented in Saber Synopsys Inc. v. 2.4. Saber gives possibilities to analysis<br />

behavior <strong>of</strong> analog <strong>and</strong> digital control structures as well as electrical circuits.<br />

Constructed model is presented in Fig. A. 4. 1 .The main data <strong>of</strong> the model are<br />

shown in Tab. A. 4. 1-Tab. A. 4. 3.<br />

Tab. A. 4. 1. Data <strong>of</strong> the Induction Motor in Saber Model<br />

Nominal power P<br />

N<br />

= 3 kW<br />

Nominal voltage U<br />

SN<br />

= 380 V<br />

Nominal current I<br />

SN<br />

= 6.9 A<br />

Nominal frequency f<br />

SN<br />

= 50 Hz<br />

Base speed<br />

Ω<br />

mN<br />

= 1415 rpm<br />

Number <strong>of</strong> pole pairs p<br />

b<br />

= 2<br />

Moment <strong>of</strong> inertia J = 0.0154 kgm 2<br />

Nominal stator flux Ψ<br />

SN<br />

= 0.98 Wb<br />

Nominal torque M<br />

N<br />

= 20 Nm<br />

Stator resistance R<br />

S<br />

= 1.84 Ω<br />

Rotor resistance R<br />

r<br />

= 1.84 Ω<br />

Stator inductance L<br />

S<br />

= 0.17 H<br />

Rotor inductance L<br />

r<br />

= 0.17 H<br />

Main inductance L<br />

M<br />

= 0.16 H<br />

Phase number m = 3<br />

S<br />

Tab. A. 4. 2.Data <strong>of</strong> the Supply Line <strong>and</strong> <strong>AC</strong>/<strong>DC</strong>/<strong>AC</strong> <strong>Converter</strong> Model<br />

Line voltage U<br />

L<br />

= 141 V<br />

Line frequency f<br />

L<br />

= 50 Hz<br />

<strong>DC</strong>-link voltage U<br />

<strong>DC</strong><br />

=560 V<br />

Resistive load R<br />

load<br />

= 100 or 150 Ω<br />

<strong>DC</strong>-link capacitor C =470 µFor 47 µF<br />

148

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