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

Load<br />

Figure 3.8. (a), (b) and (c) Equivalent circuit of system shown in Figure 3.1<br />

(c)<br />

By using equivalent circuit, the injected voltage<br />

can be written as<br />

V<br />

DVR<br />

Z<br />

= M<br />

nV<br />

filter<br />

Req<br />

+ jωL<br />

(3.6)<br />

eq<br />

The relationship between and can be expressed as<br />

V<br />

filter<br />

Z<br />

1<br />

jωC<br />

= C<br />

f<br />

=<br />

Vinv<br />

=<br />

ZC<br />

+ Ri<br />

+ Z 1<br />

L + Ri<br />

+ jωL<br />

2<br />

f<br />

jωC<br />

f<br />

V<br />

inv<br />

( 1−<br />

ω L<br />

f<br />

C<br />

f<br />

) + jRiωC<br />

f<br />

(3.7)<br />

By using (3.6) and (3.7), can be rearranged in (3.8) and (3.9)<br />

V<br />

Z<br />

V<br />

ω +<br />

= M<br />

DVR<br />

n<br />

Req<br />

+ j L<br />

2<br />

eq<br />

inv<br />

( 1−<br />

ω L<br />

f<br />

C<br />

f<br />

) jωRiC<br />

f<br />

Z<br />

M<br />

V<br />

( R + jω L )( [ 1−<br />

ω L C ) + jωR C ] inv<br />

= n<br />

2<br />

eq eq<br />

f<br />

f<br />

i<br />

f<br />

(3.8)<br />

V<br />

DVR<br />

= NV inv<br />

(3.9)<br />

26

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