Multiple Solutions of Transmission Line Switching in Power Systems

Line switching provides the flexibility for an operator to reduce the operation cost by switching some lines. However, the issue of multiple solutions in the existing models has never been explored and addressed. This will make the traditional models fail to determine the best line switching strategy in the context of multiple solutions. In this letter, we demonstrate that the multiple solution issue in line switching is very significant and propose a multi-objective optimization approach to address the multiple solutions of line switching. The simulation results on the IEEE 118-bus and IEEE 300-bus systems verify the effectiveness of the proposed approach.