适用于不同随机变量的主动配电网拉丁超立方抽样法概率谐波潮流计算

Probabilistic Harmonic Power Flow Based on Latin Hypercube Sampling Applied to Different Random Variable for Active Distribution Network

随着分布式电源的大量接入,不可避免地将大量谐波带入主动配电网,对主动配电网中谐波的特性及谐波在主动配电网中的分布情况进行研究具有重要意义。针对主动配电网,提出了一种适用于不同随机变量的拉丁超立方抽样概率谐波潮流计算方法。介绍了基于回路分析法的基波潮流计算方法以处理主动配电网的弱环网性,为处理主动配电网的PV节点问题,提出了一种严格的PV节点修正方法;针对独立随机变量、相关随机变量及离散数据,分别提出了一种相应的拉丁超立方抽样方法以实现对谐波谱数据的抽样,从而模拟了谐波潮流中的不确定性;基于14节点配电网络进行了算例研究,验证了方法的有效性和可行性。

With the increase of large amount of distributed generations connecting to power grid, it is inevitable that a lot of harmonic waves would be brought to the active distribution network, and it is of great significance to study characteristic of the harmonic spectrum and its distribution in active distribution network. A probabilistic power flow based on improved Latin hypercube sampling for active distribution network is created. The loop-analysis-based power flow algorithm is introduced for weakly meshed distribution network while a strict method to process PV nodes is also proposed. On that basis, with regard to independent random variables, dependent random variables and discrete data, an improved Latin hypercube sampling is proposed to describe uncertainty of harmonic spectrum. Various numerical test results on a 14-bus distribution network demonstrate validity of the proposed method. This work is supported by Natural Science Foundation of China （No. 51607068） and Natural Science Funds of Beijing （No. 3164051）.