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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4. MODELING <strong>OF</strong> PROPOSED DVR Mustafa İNCİ<br />
Figure 4.11. Conventional SRF based detection<br />
2<br />
d<br />
2<br />
q<br />
From Figure 4.11, V = V = V + V , this voltage varies with the grid<br />
p<br />
dq<br />
voltages then the voltage sags can be detected from value of V<br />
dq<br />
. This V<br />
dq<br />
is filtered<br />
by low-pass filter (LPF) for<br />
2ω<br />
or 100-Hz component elimination (for 50-Hz<br />
distribution systems). The filtered V<br />
dq<br />
or V<br />
dq , f<br />
is finally compared to a dc reference<br />
in comparator (i.e. 0.9 pu). The comparator output is a sag signal, which initiates a<br />
voltage sag compensation process when the voltage sag occurs(Sillapawicharn et<br />
al,2011).<br />
To compensate unbalance voltage sags, three-phase symmetric voltages can<br />
be constructed by a-phase voltage, which is carried into dq transform according to<br />
the equation(Jianwei et al,2011):<br />
V<br />
a<br />
= V<br />
ref<br />
n<br />
( iy + ϑ ) + 2u<br />
( ωiy<br />
+ )<br />
n<br />
∑ u<br />
i=<br />
1 1i<br />
sin<br />
1i<br />
∑i<br />
=<br />
, a<br />
= 2 ω<br />
2i<br />
sin ϑ<br />
i<br />
(4.38)<br />
1 2<br />
It can be constructed for<br />
V<br />
ref , b<br />
=<br />
⎛ 2π<br />
⎞<br />
⎛ 2π<br />
⎞<br />
ω u ⎜ + + ⎟<br />
= i i<br />
it<br />
1 1<br />
2<br />
1 2<br />
sin ω ϑ2i<br />
(4.39)<br />
⎝ 3 ⎠<br />
⎝ 3 ⎠<br />
n<br />
n<br />
∑ 2u1<br />
i<br />
sin⎜<br />
it + ϑ<br />
i<br />
− ⎟ + ∑ =<br />
i<br />
V<br />
ref , c<br />
=<br />
⎛ 2π<br />
⎞<br />
⎛ 2π<br />
⎞<br />
ω u ⎜ + − ⎟<br />
= i i<br />
it<br />
1 1<br />
2<br />
1 2<br />
sin ω ϑ2i<br />
(4.40)<br />
⎝ 3 ⎠<br />
⎝ 3 ⎠<br />
n<br />
n<br />
∑ 2u1<br />
i<br />
sin⎜<br />
it + ϑ<br />
i<br />
+ ⎟ + ∑ =<br />
i<br />
65