Model for Power Shortage Estimation in Electric Power Systems: Interior Point Algorithms

This paper addresses the model for power shortage estimation in electric power systems. The model's main component of methodology for analysis of electric power system (EPS) reliability that has been developed at the Energy Systems Institute, Siberian Branch of Russian Academy Sciences. The methodology is based on the Monte-Carlo method. Quality and implementation time of reliability analysis depend on realization of the model. The model is implemented in the computational software for electric power systems reliability analysis. The history of evolution of the model for power shortage estimation and mathematical properties of the model are discussed. The results of the state-of-the-art studies of the model for power shortage estimation in EPS are presented. The model for power shortage estimation in EPS with quadratic power losses in power lines is considered. Algorithms of the interior point method with quadratic approximations of constraints applied for realization of the model are discussed. Results of experimental studies of the algorithms are presented.