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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 />

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

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