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Power System Operation and Control by N. V. Ramana

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2.4 SOLUTION OF THE ECONOMIC SCHEDULING PROBLEM – CONSIDERING TRANSMISSION LINE LOSSES

For optimal power dispatch, the incremental fuel cost of each plant multiplied by its penalty factor should be equal to Lagrangian multiplier λ.

 

(IC)i Li = λ for i = 1, 2, …, ng

where images = pentaly factor of ith unit.

The incremental transmission loss images can be obtained by differentiating the total loss equation PL. The equation for PL interms of B-coefficients has been developed earlier.

Recall the incremental cost of the ith unit.

The incremental transmission ...

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