基于Benders分解的独立型微电网鲁棒优化容量配置模型

摘要

To improve the robustness of power source configuration for stand-alone microgrid,a double layer configuration model for robust power source capacity is built considering the intermittency and volatility of wind,solar radiation and load. The outer layer is the master problem regarding power source capacity optimization,the inner layer is the subproblem regarding operational optimization including uncertainty sets of wind,solar radiation and load.The dual problem is established to decouple the subproblem and the bilinear terms in the subproblem are converted to linear terms using the big M method, iterate the master problem and subproblem alternatively until the optimal solution is obtained.The proposed method is compared with improved non-dominant sorting genetic algorithm (NSGA-Ⅱ) in the test case.The testing result shows the robust performance and solving efficiency of the proposed model is higher than usual.The rationality and effectiveness of the model is verified.%为了提高独立型微电网电源优化配置的鲁棒性,综合考虑了风、光和负荷的间歇性和随机性,建立了独立型微电网的双层鲁棒优化容量配置模型.外层为初始投资费用主问题,内层为基于风、光和负荷不确定集的运行优化子问题.采用对偶的方法对子问题进行解耦,利用大M法将其线性化,并通过Benders分解的方法将主子问题进行交互迭代,直至经济成本达到最优.在算例中将该方法与改进的非支配排序遗传算法(NSGA-Ⅱ)进行对比,结果表明所提模型的鲁棒性更好,求解效率更高,验证了模型的合理性和有效性.