徐超然, 徐潇源, 严正, 李恒杰. 考虑风电统计特性挖掘的分布鲁棒优化调度方法[J]. 电力系统自动化, 2022, 46(2): 33-42.
引用本文: 徐超然, 徐潇源, 严正, 李恒杰. 考虑风电统计特性挖掘的分布鲁棒优化调度方法[J]. 电力系统自动化, 2022, 46(2): 33-42.
XU Chaoran, XU Xiaoyuan, YAN Zheng, LI Hengjie. Distributionally Robust Optimal Dispatch Method Considering Mining of Wind Power Statistical Characteristics[J]. Automation of Electric Power Systems, 2022, 46(2): 33-42.
Citation: XU Chaoran, XU Xiaoyuan, YAN Zheng, LI Hengjie. Distributionally Robust Optimal Dispatch Method Considering Mining of Wind Power Statistical Characteristics[J]. Automation of Electric Power Systems, 2022, 46(2): 33-42.

考虑风电统计特性挖掘的分布鲁棒优化调度方法

Distributionally Robust Optimal Dispatch Method Considering Mining of Wind Power Statistical Characteristics

  • 摘要: 提出一种基于数据驱动分布鲁棒优化的电力系统调度方法,以应对考虑风电不确定性的电力系统运行问题。首先,挖掘风电数据统计信息,提出了基于主成分分析与核密度估计的风电概率分布模糊集构建方法,刻画风电随机性以及不同风电机组出力之间的空间相关性;其次,针对含风电的调度问题,建立考虑概率分布模糊集的两阶段分布鲁棒优化问题;然后,将分布鲁棒优化问题变换为其等价可解形式,采用仿射策略以及对偶原理将其转化为线性规划问题进行求解,并且提出了基于样本外测试的概率分布模糊集范围参数选择策略,以保证调度方案的可靠性与经济性。采用6节点与IEEE 118节点系统进行仿真分析,并将所提出的分布鲁棒优化方法与不考虑随机变量相关性的分布鲁棒优化方法以及传统随机、鲁棒优化方法进行对比,以验证所提方法的有效性。

     

    Abstract: A power system dispatch method based on data-driven distributionally robust optimization(DRO) is proposed to deal with the operation problem of power system considering the uncertainty of wind power. Firstly, the statistical information of wind power data is mined, and a construction method of probability distribution ambiguity set for wind power based on principal component analysis and kernel density estimation is proposed to describe the randomness of wind power and the spatial correlation between the outputs of different wind turbines. Secondly, aiming at the dispatch problem with wind power, a two-stage DRO problem considering probability distribution ambiguity set is established. Thirdly, the DRO problem is transformed into its equivalent solvable form, and the affine strategy and duality principle are used to transform it into a linear programming problem for solving. The range parameter selection strategy of probability distribution ambiguity set based on out-of-sample test is proposed to ensure the reliability and economy of the dispatch scheme. Finally, the 6-bus and IEEE 118-bus systems are used for simulation analysis, and the proposed DRO method is compared with the DRO method without consideration of the correlation of random variables and the traditional stochastic and robust optimization methods to verify the effectiveness of proposed method.

     

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