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Electrical Power Systems

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436 <strong>Electrical</strong> <strong>Power</strong> <strong>Systems</strong><br />

Given that<br />

IC 1 = 4.0 + 0.60 P g1 = 4.0 + 0.6 × 1.024 = 4.6144<br />

IC 2 = 4.0 + 0.60 P g2 = 4.0 + 0.60 × 1.0 = 4.60<br />

Solving eqn (xii), we get,<br />

L 2 =<br />

1<br />

1 - P<br />

P<br />

L 1 is always 1.0, so<br />

L 1 × IC 1 = 4.6144<br />

L<br />

g2<br />

= 1.0203<br />

L 2 × IC 2 = 1.0203 × 4.60 = 4.6933<br />

But L 2 × IC 2 > L 1 × IC 1, therefore we need to decrease P g2.<br />

After few iterations, we have d 23 = 11 0 , d 31 = – 6 0 , P g1 = 1.05 pu, P g2 = 0.963 pu and<br />

L 2 = 1.01792.<br />

\ L 1 × IC 1 = 4.63<br />

L 2 × IC 2 = 4.65<br />

Product L 1IC 1 and L 2IC 2 are quite close to each other and solution has converged.<br />

16.10 TRANSMISSION LOSS ORMULA<br />

Here, main aim is to give a simple expression for loss formula based on certain assumptions.<br />

igure 16.10 shows two generating stations connected through a transmission network to a<br />

number of loads. One of the lines in the power network is designated as branch K.<br />

ig. 16.10: Schematic diagram showing two generating stations connected through a<br />

transmission network to a number of loads.<br />

Now if we assume that the total load current I L is supplied by generating station 1 only, as<br />

shown in ig. 16.11(a)<br />

ig. 16.11(a): Generating Station 2 is off.

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