基于半不变量及最大熵的概率谐波潮流算法

ZENG Jiang

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基于半不变量及最大熵的概率谐波潮流算法

更新时间：2025-08-13

- 基于半不变量及最大熵的概率谐波潮流算法
- Automation of Electric Power Systems Vol. 42, Issue 13, Pages: 169-174(2018)
- 作者机构：
  
  华南理工大学电力学院,广东省,广州市,510641
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2018
- 稿件说明：
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ZENG Jiang. [J]. Automation of electric power systems, 2018, 42(13): 169-174.
DOI：

ZENG Jiang. [J]. Automation of electric power systems, 2018, 42(13): 169-174. DOI：

摘要

针对电力系统中谐波分布的不确定性，提出了一种结合半不变量、线性化谐波潮流方程以及最大熵模型的概率谐波潮流算法。首先，根据谐波电流的样本获取高阶矩和半不变量等数字特征，根据电网基础数据构建谐波潮流方程并在基准运行点处线性化，计算谐波电压数字特征，进而建立最大熵模型拟合其概率分布。所提方法具有计算量小、编程简单、结果客观准确等优点。最后，使用所提方法在4节点系统上与卷积法比较，以及在IEEE 57节点系统上与蒙特卡洛法比较，均验证了该方法的有效性。

Abstract

In view of the uncertainty of harmonic distribution in the power system

this paper proposes a probabilistic harmonic power flow algorithm based on cumulant

linear harmonic power flow equation and maximum entropy model. Firstly

the numerical characteristics

such as higher moments and cumulant

are obtained according to the samples of harmonic current. Secondly

the harmonic power flow equation is constructed according to the basic data of the grid and linearized at the reference operating point. The numerical characteristics of the harmonic voltage are calculated. Then the maximum entropy model is developed to fit the probability distribution of the harmonic voltage. The proposed method has the advantages of low computational complexity

simple programming and objective and accurate results. Finally

the probabilistic harmonic power flow is calculated on a 4-bus system and the IEEE 57-bus power system. The results are compared with the convolution method and the Monte Carlo method to verify the effectiveness of the method.

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