GLOBALLY CONVERGENT OPTIMAL POWER FLOW USING COMPLEMENTARITY FUNCTIONS AND TRUST REGION METHODS

摘要

As power systems become heavily loaded there is an increasing need for globally convergent optimal power flow (OPF) algorithms. An algorithm is said to be globally convergent if it is able to obtain a solution, if one exists, for any choice of initial point. Such an algorithm is developed here by combining three approaches: (i) reformulation of the OPF problem as a nonlinear equations system by means of complementarity functions, (ii) reformulation of the equations system as an unconstrained minimization problem, and (iii) solution of the unconstrained minimization problem by a globally convergent trust region algorithm. The proposed algorithm is implemented in MATLAB, and its performance is tested on the IEEE 30-, 57-, 118- and 300-bus systems.