Multi-objective dynamic optimal power flow through the -constraint method with non-smooth and non-convex fuel cost functions1

This paper develops a method to solve single and multi-objective Dynamic Optimal Power Flow (DOPF) problems. Due to scarcity of energy resources, increasing power generation cost and ever growing demand for electrical energy, the DOPE is the electrical energy requirements of an interconnected power system. The DOPF problem is consequential in power systems operation complicated by non-smooth and non-convex optimization problems since generator valve-point effects are considered in fuel cost functions. The -constraint approach is implemented for the Multi-objective Mathematical Programming (MMP) formulation. The optimization problem uses nonlinear programming with discontinuous derivatives (DNLP) as a solution procedure. The optimization problem is modeled in General Algebraic Modeling System (GAMS) software and solved using CONOPT solver. The proposed algorithm is implemented on the IEEE 118-bus test system to simultaneously minimize the total fuel cost and power losses over the whole dispatch periods as objective functions. Simulation results show that the proposed algorithm is able to effectively improve the power system operation from the economic and technical point of view.