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ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...

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4. MODELING <strong>OF</strong> PROPOSED DVR Mustafa İNCİ<br />

Solving for Vo,<br />

V<br />

O<br />

⎛ N<br />

S<br />

VS<br />

D<br />

N ⎟ ⎞<br />

= 2 ⎜<br />

(4.20)<br />

⎝ P ⎠<br />

2011),<br />

It is also useful to express the ripple as a fraction of the output voltage(Hard,<br />

∆V<br />

V<br />

O<br />

O<br />

1−<br />

D<br />

=<br />

8LCf<br />

2<br />

(4.21)<br />

In design, it is useful to rearrange the preceding equation to express required<br />

capacitance in terms of specified voltage ripple(Hard, 2011):<br />

1−<br />

D<br />

C = (4.22)<br />

8L<br />

2<br />

( ∆V<br />

/ V ) f<br />

O<br />

O<br />

If the ripple is not large, the assumption of a constant output voltage is<br />

reason-able and the preceding analysis is essentially valid(Hard, 2011).<br />

Finally, the VA rating of the capacitor, denoted as , is (Li et al., 2001):<br />

S = k V I<br />

(4.23)<br />

C<br />

C<br />

C<br />

C<br />

Where<br />

1.2(Li et al., 2001).<br />

k<br />

C<br />

is an optional safety coefficient, typically ranging from 1.0 to<br />

4.3. Control System<br />

The control system of a DVR plays an important role, with the requirements<br />

of fast response and more accuracy. Many extraction and mitigation strategies is<br />

59

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