| 引用本文: | 谢敏,柯少佳,胡昕彤,韦薇,杜余昕,刘明波.考虑风场高维相依性的电网动态经济调度优化算法[J].控制理论与应用,2019,36(3):353~362.[点击复制] |
| XIE Min,KE Shao-jia,HU Xin-tong,Wei Wei,DU Yu-xin,LIU Ming-bo.Optimization algorithm of dynamic economic dispatching considering the high-dimensional correlation of multiple wind farms[J].Control Theory and Technology,2019,36(3):353~362.[点击复制] |
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| 考虑风场高维相依性的电网动态经济调度优化算法 |
| Optimization algorithm of dynamic economic dispatching considering the high-dimensional correlation of multiple wind farms |
| 摘要点击 1805 全文点击 793 投稿时间：2018-03-07 修订日期：2018-08-19 |
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| DOI编号 10.7641/CTA.2018.80159 |
| 2019,36(3):353-362 |
| 中文关键词 Copula 风场高维相依性 最小二乘法 递推动态多元线性回归法 二阶段带补偿随机优化算法 |
| 英文关键词 copula high-dimensional correlation of multiple wind farms least squares method recursive dynamic multivariable linear regression two-stage compensation stochastic optimization algorithm |
| 基金项目 国家重点基础研究发展计划(973计划：2013CB228205)、国家自然科学基金青年基金项目(50907023) |
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| 中文摘要 |
| 大规模风电并网给电力系统的调度运行带来了巨大的挑战。本文提出改进的二阶段带补偿随机优化算法,用于考虑风场出力高维相依性的电网动态经济调度问题求解。首先,利用Copula函数进行多风场出力高维相依性的描述,获得多风场出力的联合分布；随后,引入改进的二阶段带补偿随机优化算法对动态经济调度模型中的常规变量与随机变量进行解耦求解；求解过程中,针对补偿惩罚期望值的计算受限于相依性风场维数,且对迭代收敛方向指导不明确,导致算法收敛耗时长的问题,引入基于整体最小二乘的递推动态多元线性回归法对二阶段带补偿随机优化算法进行改进,通过补偿惩罚期望值的动态更新,促使两阶段模型的迭代求解快速收敛,克服了传统随机优化方法的“维数灾”弊端,使该算法能够用于考虑风场高维相依性的电网动态经济调度模型的求解。最后利用IEEE118节点系统和某省级实际电网系统验证了所提算法的有效性和实用性。 |
| 英文摘要 |
| Large-scale wind power connected to power grid has brought great challenges to power system scheduling operation. In this paper, an improved two-stage compensation stochastic optimization algorithm is proposed to solve the dynamic economic dispatching problem considering the high-dimensional correlation of multiple wind farms. Firstly, Copula function is used to describe the correlation of high-dimensional wind farms, and the joint distribution of wind output is obtained. Secondly, an improved two-stage compensation stochastic optimization algorithm is proposed to decouple the conventional and stochastic variables in the dynamic economic scheduling model. The calculation of the expected value of compensation cost is usually limited by the dimension of the correlated wind farms, and the direction of the iterative is not clear enough to lead the convergence, all this lead to long computation time consumed. So the recursive dynamic multivariable linear regression method based on global least squares is introduced to improve the proposed algorithm. By dynamic updating of compensation penalty expectation, computation time is greatly shortened. This improved two-stage compensation algorithm proposed in this paper overcomes the dimensional disaster of the traditional stochastic optimization method, and is capable of solving the dynamic economic dispatching problem considering the high-dimensional correlation of multiple wind farms. Finally, the practicability and efficiency of the proposed algorithm is verified by the examples of IEEE118 system and an actual provincial system. |
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