| 引用本文: | 吴晗,欧阳森,梁炜焜,黄祎.基于自适应步长ADMM的柔性配电网光-储协同分布鲁棒优化配置[J].电力自动化设备,2023,43(7): |
| WU Han,OUYANG Sen,LIANG Weikun,HUANG Yi.Distributionally robust optimization configuration of photovoltaic-energy storage coordination in flexible distribution network based on adaptive step size ADMM[J].Electric Power Automation Equipment,2023,43(7): |
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| 摘要: |
| 针对柔性配电网的显著分区特征以及光伏出力的不确定特性，提出了一种区域间分布式优化及区域内两阶段优化方法，建立了基于自适应步长交替方向乘子法的光-储协同分布鲁棒优化配置模型。基于耦合支路法将柔性互联装置解耦，通过一致性约束协调各区域间的边界条件，利用自适应步长交替方向乘子法进行全局迭代分布式优化。以最小化柔性配电网的投资运行总成本为优化目标，建立基于数据驱动的各子区域两阶段分布鲁棒优化模型，并提出一种交直流混合凸松弛方法处理非线性非凸模型以便快速求解。基于改进相对熵构建光伏典型出力场景的不确定概率分布模糊集，通过列与约束生成算法求解两阶段分布鲁棒优化模型。以改进的某实际293节点柔性配电网为算例验证所建模型的有效性。 |
| 关键词: 柔性配电网 光-储协同配置 分布式优化 不确定性 分布鲁棒优化 交替方向乘子法 |
| DOI：10.16081/j.epae.202211028 |
| 分类号:TM615;TM732 |
| 基金项目:国家自然科学基金资助项目(52177085) |
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| Distributionally robust optimization configuration of photovoltaic-energy storage coordination in flexible distribution network based on adaptive step size ADMM |
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WU Han, OUYANG Sen, LIANG Weikun, HUANG Yi
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School of Electric Power, South China University of Technology, Guangzhou 510640, China
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| Abstract: |
| Aiming at the significant zoning characteristics of flexible distribution network and the uncertainty characteristics of photovoltaic output, a method of inter-regional distributed optimization and intra-regional two-stage optimization is proposed, and the distributionally robust optimization configuration model of photovoltaic-energy storage coordination based on adaptive step size alternating direction method of multipliers(ADMM) is established. Based on the coupled branch method, the flexible interconnection devices are decoupled, the boundary conditions among regions are coordinated through consistency constraints, and the global iterative distributed optimization is realized by using the adaptive step size ADMM. In order to minimize the total cost of investment and operation of flexible distribution network, the data-driven-based two-stage distributionally robust optimization model of each sub-region is established with the minimum total investment and operation cost of flexible distribution network as the optimization objective, and an AC/DC hybrid convex relaxation method is proposed to deal with the nonlinear non-convex model for quick solution. Based on the improved relative entropy, the uncertain probability distribution fuzzy sets of typical photovoltaic output scenarios are constructed and the two-stage distributionally robust optimization model is solved by using the column and constraint generation algorithm. An improved actual 293-bus flexible distribution network is used as the example to verify the effectiveness of the proposed model. |
| Key words: flexible distribution network coordinated configuration of photovoltaic-energy storage distributed optimization uncertainty distributionally robust optimization alternating direction method of multipliers |
