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考虑分布式风电出力相关性的配电网概率区间潮流计算方法

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为了更加准确地模拟分布式风电接入对配电网不确定性潮流分布的影响,提出考虑相关性的配电网概率区间潮流计算方法.将分布式风电出力区间划分成若干个子区间并赋予子区间对应的概率,并构建分布式风电出力的焦元模型;结合仿射算术将基于焦元模型的配电网概率区间潮流模型转化为仿射优化模型,并采用平行四边形模型、凸多边形模型、椭球模型来描述分布式风电出力的相关性,通过坐标变换将相关性模型转换为仿射约束条件,并将其嵌入仿射优化模型中进行联立求解;根据证据理论合成规则得到配电网概率区间潮解的概率边界.2个配电网的算例仿真结果表明,所建模型可以通过最大、最小概率描述潮流解的不确定度,同时椭球模型对相关性的建模比其他2类方法更准确.
Probability interval power flow calculation method for distribution network considering correlation of distributed wind power output
In order to simulate the impact of distributed wind power access on the uncertain power flow dis-tribution of distribution network more accurately,a probability interval power flow calculation method for distribution network considering correlation is proposed.The interval of distributed wind power output is di-vided into several sub-intervals and corresponding probabilities are assigned to the sub-intervals,and a fo-cal element model of distributed wind power output is constructed.Combining the affine arithmetic,the probability interval power flow model of distribution network based on the focal element model is trans-formed into an affine optimization model.The parallelogram model,convex polygon model,and ellipsoid model are used to describe the correlation of distributed wind power output,and the correlation model is trans-formed into the affine constraint conditions through coordinate transformation,which are embedded into the affine optimization model for simultaneous solution.The probability boundary of probability interval power flow solution for distribution network is obtained according to the synthesis rules of evidence theory.The simulative results of two distribution network examples show that the established model can describe the uncertainty of power flow solution through maximum and minimum probabilities,and the ellipsoidal model is more accurate in modeling correlation than the other two methods.

distribution networkprobability interval power flowcorrelationaffine optimization modelevi-dence theory

廖小兵、张一鸣、李自成、魏寒琪、丁画、李奔

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武汉工程大学 电气信息学院,湖北 武汉 430073

国网综合能源服务集团有限公司,北京 100052

国网湖北省电力有限公司 鄂州供电分公司,湖北 鄂州 436000

配电网 概率区间潮流 相关性 仿射优化模型 证据理论

2025

电力自动化设备
南京电力自动化研究所有限公司 国电南京自动化股份有限公司

电力自动化设备

北大核心
影响因子:2.101
ISSN:1006-6047
年,卷(期):2025.45(1)