A SOCP-BASED FORMULATION FOR SHORT-TERM HYDROTHERMAL SCHEDULING OF AN IEEE 24-BUS SYSTEM CONSIDERING WATER-HEAD EFFECT

Abstract

Short-term operational scheduling for hydrothermal systems is one of the important problems of power system operation. The objective of this problem is to determine the generating outputs of thermal and hydroelectric plants with the aim of minimizing the total production cost of the power system and, at the same time, satisfying operational limits of generating units as well as technical constraints of the power grid. This optimization problem is nonlinear and non-convex. This paper proposes a second-order cone programming model that is computationally efficient to solve the problem of short-term operation scheduling for hydrothermal systems, considering the relationship between the hydroelectric generation, the amount of water discharged through the turbine and the net head. The proposed optimization model, guaranteeing that the globally optimal solution is achieved, is developed from the nonlinear programming model by transforming an equality constraint into an inequality constraint. The evaluation of the proposed formulation is implemented on an IEEE 24-node system with GAMS software and CPLEX commercial solver.