ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...
ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...
ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...
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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 />
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