Optimal Dynamic Economic Dispatch for Microgrid Using Pontryagin’s Minimum Principle

This paper proposes an innovative solution for the day-ahead optimal dynamic economic dispatch problem based on Pontryagin’s Minimum Principle (PMP). The PMP is used to compute the optimal power outputs for a system with two online generating units over a 24 h period by minimizing the total cost and satisfying the associated equality and inequality constraints. Numerical simulations are conducted on a case study: the results show that the proposed day-ahead optimal dynamic economic dispatch solution satisfies the constraints of the supply-demand balance and the capacity and output threshold in real time, and the proposed PMP solution is very competitive compared with reported representative methods in yielding low fuel costs along with short execution time.