相关机会二层规划法在输电网扩展规划中的应用

Application of dependent-chance bilevel programming in transmission network expansion planning

建立输电网扩展规划的相关机会二层规划模型。该模型有2层规划问题,上层规划问题以输电投资回报率大于某一实现水平的概率最大化为目标;下层规划包含系统正常运行下的社会利益最大化与系统N-1运行时的系统切负荷量小于给定值的概率最大化2个子规划问题。利用Monte-Carlo法模拟不确定性参数,采用遗传算法进行全局寻优,下层规划利用内点法进行计算。修改的18节点系统验证了所提模型和方法的有效性。

A model of transmission network expansion planning based on dependent-chance bilevel programming is proposed.It takes the maximum probability of investment return rate lager than a given value a~ its objective in its upper level programming.There are two appurtenant objectives in its lower level programming：the maximum social profit in normal operation and the maximum probability of load shedding lower than a given value in N-1 operation.Monte-Carlo method is adopted to simulate the uncertainty of model parameters and the genetic algorithm is used to globally search the optimal solution.The interior point method is used in the lower level programming.A modified 18-bus system is applied to verify the effectiveness of the proposed model and method.