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Automatic Generation Control: Conventional Scenario 323<br />

(b) The total spinning generation capacity is equal to<br />

Load + reserve = 1260 + 240 = 1500 MW<br />

Generation contributing to regulation is<br />

0.8 × 1500 = 1200 MW<br />

A regulation of 5 % means that a 5% change in frequency causes a 100 % change in power<br />

generation. Therfore,<br />

1<br />

R =<br />

1200<br />

= 480 MW/Hz b005 . ´ 50g<br />

The composite system frequency response characteristic is<br />

b = D + 1<br />

R<br />

Steady-state increase in frequency is<br />

D f ss = -DP L<br />

b<br />

= 36 + 480 = 516 MW/Hz.<br />

b g Hz<br />

= --60<br />

516<br />

\ D f ss = 0.1162 Hz. Ans.<br />

Example 12.3: Two generators rated 250 MW and 400 MW are operating in parallel. The droop<br />

characteristics of the governors are 4% and 6% respectively. How would a load of 650 MW be<br />

shared between them? What will be the system frequency? Assume nominal system frequency is<br />

60 Hz and no governing action.<br />

Solution<br />

Let load on generator 1 = x MW<br />

load on generator 2 = (650 – x) MW<br />

Reduction in frequency = D f<br />

Now<br />

Df<br />

x<br />

Df<br />

b650 - xg<br />

rom eqns (i) and (ii), we get<br />

650 - x<br />

x<br />

004 . ´ 60<br />

=<br />

250<br />

006 . ´ 60<br />

=<br />

400<br />

= 004 60<br />

. ´<br />

250<br />

×<br />

400<br />

006 . ´ 60<br />

= 1.066<br />

\ x = 314.52 MW. (load on generator 1)<br />

650 – x = 335.48 MW (load on generator 2)<br />

and D f = 3.019 Hz<br />

\ System frequency = (60 – 3.019) = 56.981 Hz.<br />

...(i)<br />

...(ii)

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