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基于多目标双层规划的分布式电源选址定容

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针对高比例分布式电源(distributed generators,DGs)并网位置与容量大小优化问题,提出一种解决多DGs选址定容问题的多目标双层优化模型.该模型中上层模型结合损耗灵敏度和电压稳定指数挑选并网位置,下层模型获得并网位置后以有功损耗、电压偏移指数、电压稳定指数为优化目标函数调整DGs容量.其次,由于下层模型中含有非凸的DistFlow潮流方程,通过二阶锥凸松弛技术将下层模型转化为混合整数二阶锥规划模型,并运用多权重法将多目标优化模型转化为易于处理的单目标优化模型.最后在PG&E69节点系统中测试,结果表明,DGs在最佳位置接入特定容量,可显著降低配电网有功损耗,改善电压分布、提高电网电压稳定性.与现有文献中优化算法对比分析,验证了所提模型的有效性,此外,还分析了测试系统接入DGs的最佳数目和渗透水平.
Optimal Siting and Sizing of Distributed Generators Based on Multi-objective Double-layer Planning
Aiming at the optimization problem of grid-connected location and capacity of high-proportion distributed generators,we proposed a multi-objective two-layer optimization model to solve the problem of multi-DGs location selec-tion and capacity.In this model,the upper model selects the grid-connected location by combining loss sensitivity and voltage stability index,and the lower model obtains the grid-connected location with active power loss,voltage offset in-dex,and voltage stability index as the optimization objective functions to adjust the DGs capacity.Secondly,since the lower model contains a non-convex DistFlow power flow equation,the lower model is transformed into a mixed integer second-order conic programming model by the second-order conic-convex relaxation technique,and the multi-weight method is applied to transform the multi-objective optimisation model into a single-objective optimization model that is easy to handle.Finally,it is tested in the PG&E69 node system and the results show that DGs accessing specific ca-pacities at optimal locations can significantly reduce active power losses in the distribution network,improve voltage distribution,and enhance grid voltage stability.Compared with the optimization algorithms in the existing literature,the validity of the proposed model is verified.In addition,the optimal number and penetration level of DGs accessed in the test system are also analyzed.

distribution networkdistributed generatorsmulti-objective optimizationsiting and sizingmixed integer second-order cone programming

杨扬、王彤

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新能源电力系统国家重点实验室(华北电力大学),北京 102206

配电网 分布式电源 多目标优化 选址定容 混合整数二阶锥规划

国家自然科学基金资助项目

51637005

2024

华北电力大学学报(自然科学版)
华北电力大学

华北电力大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.868
ISSN:1007-2691
年,卷(期):2024.51(2)
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