Matrix Formulated λ-Iteration Method for Economic Load Scheduling With B-Coefficients

The load-sharing real power among several generating units in operation across the entire power system mainly depends upon the overall operating cost. Thus there is a need to develop techniques to allocate the scheduled power to generating units to minimize the cost of generation while satisfying both equality (generation-load-loss balance) and inequality (limits on generations) constraints. In this work matrix formulated
$\lambda{-}$
iteration method is proposed, where the functions or equations, that are required to solve the economic load scheduling problem are transformed into matrices. Transmission line losses are approximated using Kron's loss formula using B-Loss coefficients. This technique gives quick and nearly perfect (very less tolerance from load demand) results. As a case study, a 6 generators and a 15 generators systems data is chosen to obtain solution to the economic load scheduling problem using matrix formulated
$\lambda{-}$
Iteration method. This technique is implemented in MATLAB® R2019a and the results are presented.