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

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3. Vector <strong>Control</strong> Methods <strong>of</strong> <strong>AC</strong>/<strong>DC</strong>/<strong>AC</strong> <strong>Converter</strong>-<strong>Fed</strong> IM Drives – A Review<br />

P +<br />

c<br />

−<br />

P<br />

1<br />

sT S<br />

+ 1<br />

( sT )<br />

−sτ<br />

0<br />

K<br />

PP IP<br />

+ 1 Kce<br />

+<br />

sT<br />

sτ<br />

+ 1<br />

IP<br />

Σp<br />

U Ldist<br />

−<br />

K<br />

sT<br />

RL<br />

RL<br />

+1<br />

3<br />

U L<br />

= const.<br />

2<br />

Fig. 3. 21. Block diagram for a simplified active power control loop in the synchronous rotating<br />

reference frame<br />

The model <strong>of</strong> Fig. 3. 21 can be modified as shown in Fig. 3. 22, where sum <strong>of</strong> the<br />

small time constants is defined by:<br />

τ = T + T<br />

(3. 55)<br />

Σp<br />

S<br />

PWM<br />

P c<br />

+<br />

−<br />

P<br />

( sT + )<br />

K<br />

PP IP<br />

1<br />

sT<br />

IP<br />

−sτ<br />

0<br />

Kce<br />

sτ<br />

+ 1<br />

Σp<br />

U Ldist<br />

+<br />

−<br />

K<br />

sT<br />

RL<br />

RL<br />

+1<br />

3<br />

2<br />

U L<br />

Fig. 3. 22. Modified block diagram <strong>of</strong> Fig. 3. 21<br />

Please note that, τ<br />

Σp<br />

is a sum <strong>of</strong> small time constants, T<br />

RL<br />

is a large time constant<br />

<strong>of</strong> the input choke. The similar simplifications as in Subsection 3.3.1.1 are taken into<br />

account. From several methods <strong>of</strong> design, symmetry optimum - SO is chosen because<br />

its good response to a disturbance<br />

loop transfer function can be derived:<br />

U step. For U L<br />

= const.<br />

the following open<br />

Ldist<br />

G<br />

OP<br />

() s<br />

K<br />

=<br />

sT<br />

IP<br />

RLK<br />

PP<br />

( 1+<br />

sTIP<br />

) 3<br />

U<br />

L<br />

( s + 1)( sT + 1) 2<br />

τ Σ p<br />

RL<br />

(3. 56)<br />

With simplification ( sTRL<br />

) ≈ sTRL<br />

function for power control loop:<br />

+1 [63] gives following closed loop transfer<br />

58

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