Research on feasible region solving technique of cross-province switching power based on convex optimization theory

At present, there are still problems of insufficient precision and low efficiency in solving the feasible domain of switched power under complex constraints. To solve this problem, this paper proposes a feasible region solution technique for cross-province power exchange based on convex optimization theory. First, according to the actual operation requirements of the power system, the objective function is designed to clarify the optimization direction. Secondly, a convex optimization model is constructed to systematically analyze the convexity of the model, and the feasibility of the constraint conditions is analyzed in detail through KKT (Karush-Kuhn-Tucker) conditions, and the feasible domain is modified in combination with the operating boundary of the power grid to ensure the applicability of the model. Finally, the solution efficiency and accuracy of the proposed method are verified by testing experiments. The results show that the proposed technology can effectively shorten the solution time and improve the feasibility and accuracy of switching power distribution, which provides theoretical support and technical guarantee for the optimization of trans-provincial power grid scheduling.