Mathematical solution of the problem of optimal control of integrated power systems with generalized maximum principle†

Abstract

This paper deals with the optimal control of an integrated (hydro-thermal) power system taking into account all the non-linearities, constraints and discontinuities in the system. The mathematical solution of the deterministic problem is obtained using the generalized Maximum Principle. It turns out that the optimization equations for the thermal power system obtained by Carpentier and Sirioux, who used the Kuhn and Tucker theory, are a particular case of the optimization equations for the integrated power system obtained here using the generalized maximum principle.