For optimal power dispatch, the incremental fuel cost of each plant multiplied by its penalty factor should be equal to Lagrangian multiplier λ.
where = pentaly factor of ith unit.
The incremental transmission loss 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 ...