OPTIMAL OPERATION OF VARIABLE HEAD HYDRO-THERMAL SYSTEMS USING THE GLIMN-KIRCHMAYER MODEL AND THE NEWTON-RAPHSON METHOD

Abstract Optimal economic power scheduling of an integrated electric power system with variable head hydro plants is treated in this paper. The coordination equations developed by Ricard and Kron provide the general optimality conditions. There are many reported models to represent the performance of a hydro plant. In this paper the classical Glimn-Kirchmayer model is used to derive specific optimality conditions. An algorithm based on the Newton-Raphson iterative method is developed for solving the resulting scheduling problem. The iterative method is implemented using a specially designed initial guess estimator based on the physical properties of the problem to generate a set of feasible initial estimates of the unknowns to speed up the iterative process. Several example systems are used to test the performance of the algorithm. Successful convergence of the algorithm is reported in this paper and results for one sample test system are given.