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Electrical Power Systems

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0<br />

Dd2<br />

\<br />

Dd3<br />

0<br />

( )<br />

( ) NM<br />

\ 0<br />

Dd2 L<br />

Q2<br />

= –11.18 sin(116.6°) – 2 × 29.065 sin(–63.4°)<br />

| V |<br />

2<br />

O<br />

Q<br />

P =<br />

– 17.885 sin (116.6°) = 26<br />

L<br />

NM<br />

O<br />

Q<br />

-1<br />

L<br />

N<br />

26 -16<br />

0.50<br />

-16<br />

31P<br />

M-1.50<br />

( ) = –0.015 rad = –0.86°<br />

( 0)<br />

Dd = –0.056 rad = –3.2°<br />

3<br />

D|V2 | 0 = DQ2<br />

Q<br />

V<br />

0 ( )<br />

2<br />

| 2|<br />

O<br />

QP<br />

1<br />

= = 0.0384<br />

26<br />

\ () 1<br />

d = 0 – 0.86°= –0.86°<br />

2<br />

Iteration-2<br />

() 1<br />

d = –3.2°<br />

3<br />

|V2| (1) = |V2| (0) + D|V2| (0) = 1.0 + 0.0384 = 1.0384<br />

(1)<br />

P2(cal) (1)<br />

Similarly, P3(cal) p = 1<br />

= 1.0384 × 11.18 cos(116.6° + 0.86° – 0°)<br />

+ (1.0384) 2 × 29.065 cos(–63.4°)<br />

+ 1.0384 × 17.885 cos (116.6° + 0.86° – 3.2°)<br />

= 1.049<br />

= –1.78<br />

(1)<br />

Q2(cal) = 0.79<br />

\ () 1<br />

DP = 0.5 – 1.049 = –0.549<br />

2<br />

() 1<br />

DP3 = –1.5 – (–1.78) = 0.28<br />

\<br />

L<br />

NM<br />

() 1<br />

DQ2 = 1 – 0.79 = 0.21<br />

Dd<br />

Dd<br />

( 1)<br />

2<br />

( 1)<br />

3<br />

O<br />

Q<br />

1<br />

\ Dd2 P =<br />

L<br />

NM<br />

26 -16<br />

O<br />

QP<br />

-1<br />

L<br />

NM<br />

-0.549<br />

-16<br />

31 0. 28<br />

() = –0.0228 rad = –1.3°<br />

O<br />

QP<br />

() 1<br />

Dd = –0.0027 rad = –0.15°<br />

3<br />

D|V2 | (1) = 021 .<br />

26<br />

= 0.008<br />

( 2)<br />

( 1)<br />

( 1)<br />

d2 = d2 2<br />

+Dd = –0.86° – 1.3° = –2.16°<br />

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