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ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...

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3. FUNDAMENTALS <strong>OF</strong> DVR Mustafa İNCİ<br />

because there is now an additional flexibility in the design introduced by the factor<br />

k<br />

c<br />

. For a given<br />

k<br />

i<br />

, the value of<br />

k<br />

c<br />

can be chosen such that<br />

k k >> r and a<br />

corresponding increase in the real part of the complex poles is obtained. Thus the<br />

damping level can be increased with an increase of the capacitor current gain<br />

(Vilathgamuwa et al., 2006).<br />

The resulting system can be seen to have the natural damping frequency ω<br />

nncv<br />

i<br />

c<br />

f<br />

r + n r + n r + nk k k r<br />

1<br />

2 2<br />

l t f i c v l 1+<br />

nk k k<br />

ω<br />

nncv<br />

=<br />

≈<br />

== 1+<br />

nk k k . (3.27)<br />

i c v<br />

2<br />

i c v<br />

( rl<br />

+ n rt<br />

) Lf<br />

C<br />

f<br />

Lf<br />

C<br />

f<br />

Lf<br />

C<br />

f<br />

The natural damping frequency of the closed loop system is therefore<br />

approximately<br />

1 + nk k k times filter resonance frequency(Vilathgamuwa et al.,<br />

i<br />

c<br />

v<br />

2002).<br />

System damping and stability margin can be improved by properly selecting<br />

the gains k<br />

c<br />

and k<br />

v<br />

. These gains are determined for a given design specification by<br />

deriving transfer function between load and the reference voltage. Further analysis<br />

reveals that the increase of current gain<br />

tends to increase the damping level while<br />

the increase of voltage gain k<br />

v<br />

, tends to decrease it. As the feed forward gain<br />

presents only in the numerator of the transfer function it does not contribute to<br />

improve system damping and stability margin. However it can be independently<br />

adjusted to decrease steady state error of compensated load voltage. However it can<br />

be independently adjusted to decrease steady state error of compensated load voltage<br />

(Vilathgamuwa et al., 2006).<br />

k<br />

f<br />

,<br />

3.3.6. Gate Signal Generation<br />

Gate signals are used to control of the electrical switches in inverter. The rms<br />

value of output voltage in inverter is controlled by turning the solid-state devices.<br />

42

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