Load security region determination with second order cone programming relaxation

Abstract

Thailand’s electricity peak demand is increasing continuously. When load demand increases, power generation will increase to respond to the load. However, load demand cannot increase beyond power system constraints which include voltage magnitude limit, generation limit, and transmission line limit. This work determines the load security region which is the feasible region of the power system. The load security region is a set of power system solution which does not violate the power system constraints. The load security region is considered by using a tracing algorithm. This method consists of predictor process and corrector process. The corrector process is an optimization-based method that is used to find the shortest path between the prediction point and the boundary point. Moreover, this work formulates optimization-based method which is nonlinear and nonconvex to be convex by using second order cone programming (SOCP) relaxation. The results show that the load security region of the power system test case. The load security region is represented in the P-Q plane. In addition, the load security region can be used to plan the power system operation, such as load shedding, and photovoltaic (PV) installation. The load security region can be increased or moved due to the system parameter from these operations. Thereby, these operations can change the load security region shape.