针对分布式光伏出力的不确定性对新型配电网合环运行产生的影响,文中提出了一种考虑合环电流约束的新型配电网负荷均衡分布鲁棒优化模型。考虑新型配电网合环电流的稳态约束和暂态约束,建立了新型配电网负荷均衡优化模型。在此基础上,采...针对分布式光伏出力的不确定性对新型配电网合环运行产生的影响,文中提出了一种考虑合环电流约束的新型配电网负荷均衡分布鲁棒优化模型。考虑新型配电网合环电流的稳态约束和暂态约束,建立了新型配电网负荷均衡优化模型。在此基础上,采用K-means聚类对分布式光伏出力历史数据进行聚类,得到具有代表性的典型场景,同时考虑1-范数和∞-范数对置信区间的约束,建立考虑合环电流约束的新型配电网负荷均衡分布鲁棒优化模型。最后采用列与约束生成(column and constraint generation,C&CG)算法对模型进行求解,在改进的IEEE-99节点上进行算例分析,验证了文中所提模型的有效性。展开更多
To ensure the safety and reliability of the distribution network and adapt to the uncertain development of renewable energy sources and loads,a two-stage distributionally robust optimization model is proposed for the ...To ensure the safety and reliability of the distribution network and adapt to the uncertain development of renewable energy sources and loads,a two-stage distributionally robust optimization model is proposed for the active distribution network(ADN)optimization problem considering the uncertainties of the source and load in this paper.By establishing an ambiguity set to capture the uncertainties of the photovoltaic(PV)power,wind power and load,the piecewise-linear function and auxiliary parameters are introduced to help characterize the probability distribution of uncertain variables.The optimization goal of the model is to minimize the total expected cost under the worst-case distribution in the ambiguity set.The first-stage expected cost is obtained based on the predicted value of the uncertainty variable.The second-stage expected cost is based on the actual value of the uncertainty variable to solve the first-stage decision.The generalized linear decision rule approximates the two-stage optimization model,and the affine function is introduced to provide a closer approximation to the second-stage optimization model.Finally,the improved IEEE 33-node and IEEE 118-node systems are simulated and analyzed with deterministic methods,stochastic programming,and robust optimization methods to verify the feasibility and superiority of the proposed model and algorithm.展开更多
文摘针对分布式光伏出力的不确定性对新型配电网合环运行产生的影响,文中提出了一种考虑合环电流约束的新型配电网负荷均衡分布鲁棒优化模型。考虑新型配电网合环电流的稳态约束和暂态约束,建立了新型配电网负荷均衡优化模型。在此基础上,采用K-means聚类对分布式光伏出力历史数据进行聚类,得到具有代表性的典型场景,同时考虑1-范数和∞-范数对置信区间的约束,建立考虑合环电流约束的新型配电网负荷均衡分布鲁棒优化模型。最后采用列与约束生成(column and constraint generation,C&CG)算法对模型进行求解,在改进的IEEE-99节点上进行算例分析,验证了文中所提模型的有效性。
基金supported by Natural Science Foundation of Beijing Municipality(No.3161002)National Key R&D Program(No.2017YFB0903300).
文摘To ensure the safety and reliability of the distribution network and adapt to the uncertain development of renewable energy sources and loads,a two-stage distributionally robust optimization model is proposed for the active distribution network(ADN)optimization problem considering the uncertainties of the source and load in this paper.By establishing an ambiguity set to capture the uncertainties of the photovoltaic(PV)power,wind power and load,the piecewise-linear function and auxiliary parameters are introduced to help characterize the probability distribution of uncertain variables.The optimization goal of the model is to minimize the total expected cost under the worst-case distribution in the ambiguity set.The first-stage expected cost is obtained based on the predicted value of the uncertainty variable.The second-stage expected cost is based on the actual value of the uncertainty variable to solve the first-stage decision.The generalized linear decision rule approximates the two-stage optimization model,and the affine function is introduced to provide a closer approximation to the second-stage optimization model.Finally,the improved IEEE 33-node and IEEE 118-node systems are simulated and analyzed with deterministic methods,stochastic programming,and robust optimization methods to verify the feasibility and superiority of the proposed model and algorithm.
