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ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...

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

In (3.10), actual voltage ratio between and can be explained<br />

N<br />

Z<br />

= n<br />

2<br />

eq eq<br />

M<br />

( R + jω L )( [ 1−<br />

ω L C ) + jωR C ]<br />

f<br />

f<br />

i<br />

f<br />

(3.10)<br />

When the source voltage varies, is maintained by the injection voltage<br />

from the DVR. As effective DVR voltage sag periods, the load current I<br />

L<br />

will<br />

be maintained constant. Considering that the magnetization impedance<br />

Z<br />

M<br />

of the<br />

series transformer is much larger than the transformer is much larger than the<br />

transformer series resistance and leakage reactance, it can be concluded that the<br />

voltage drop<br />

∆Vp<br />

caused by the transformer is ∆ V p<br />

= ( R eq<br />

+ jωL<br />

eq<br />

) I L<br />

, where<br />

R<br />

eq<br />

2<br />

2<br />

= Rp<br />

+ n Rs<br />

, Leq<br />

Lp<br />

+ n Ls<br />

= . The magnitude of the voltage drop is<br />

( R eq<br />

+ jωL<br />

eq<br />

) I L<br />

∆ V p<br />

=<br />

. Clearly, ∆Vp<br />

will contribute toward a reduction in the load<br />

voltage. Also the associated active power loss due to the transformer<br />

I 2<br />

eq L<br />

R exists at<br />

all time. Hence to reduce the voltage drop and power loss due to the transformer it is<br />

desirable that its short-circuit impedance<br />

means a more costly transformer (Li et al., 2002).<br />

R<br />

eq<br />

+ jωL<br />

is kept as low as possible. This<br />

eq<br />

3.2.5. Filter<br />

The semiconductor switching devices are used in wide variety of industrial<br />

loads. The non-linear characteristics of semiconductor devices cause distorted<br />

waveforms associated with harmonics. To overcome this problem and providing<br />

clean electrical supply filter unit is used (Choi et al., 2002; Li et al., 2001). The<br />

purpose of any of the filtering schemes is for the attenuation of the high-order<br />

harmonics due to the inverter switching (Choi et al, 2000). Two filtering methods are<br />

presented in literature: line side and inverter side.<br />

27

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