An approximation for parallelism in ACOPF based stochastic optimal transmission switching with battery energy storage systems

Deterministic optimal transmission switching and energy storage devices such as battery energy storage system (BESS) are proposed to improve power system flexibility and efficiency in the past decade. The growing penetration of renewable sources in the modern power grids brings more unpredictability in the daily operation. As a result, in the day-ahead scheduling stage, a stochastic programming formulation should be adopted to calculate the optimal switching plan and optimal battery charging/discharging pattern considering grid uncertainties. In this paper, the mathematical formulation for ACOPF based stochastic optimal transmission switching with BESS is proposed. Parallelism is explored to solve the multi-stage stochastic programming problem. The IEEE reliability test system with batteries installed is used to demonstrate the validity and effectiveness of the proposed method. The expected operational cost of the system could be reduced significantly by using optimal transmission switching and BESS.