基于混合策略博弈的预防控制策略匹配方法

摘要

An online strategy-matching method for transient precaution control based on game theory is proposed,which regards the contingencies as the strategy of a virtual player and the control actions as that of a dispatcher.The payoff function is defined as the product of variation of stability margin and correction factors of strategy indicating the cost of control action and the influence of the changing environment on contingency,respectively.The method for obtaining Nash equilibrium is given by transforming the gaming model into a dual linear programming model,while the strategy with maximum expected revenue is selected as the precaution action.Finally,the method is verified effective on a New England test system.%以预决策控制策略集和预想事故集作为博弈策略集，以稳定裕度变化作为收益，并引入外界环境影响因子、控制代价及协调控制因子，建立了一种匹配最佳预防控制措施的混合策略博弈模型。将博弈问题求解转化为对偶线性规划问题，给出了 Nash 均衡的求解方法，并选择 Nash 均衡解中期望收益最大的控制策略作为预防控制策略。给出了新英格兰系统的仿真分析算例，验证了方法的有效性。