基于Edgeworth级数和多重线性化的概率潮流算法

doi:10.11985/2018.02.006

电气工程学报 ›› 2018, Vol. 13 ›› Issue (2): 36-40.doi: 10.11985/2018.02.006

基于Edgeworth级数和多重线性化的概率潮流算法

梁捷

广西电网有限责任公司电力科学研究院南宁 530023

收稿日期:2017-10-28 出版日期:2018-04-25 发布日期:2020-04-10
作者简介:梁捷男 1987年生,工程师,主要从事电力系统及其自动化方面的工作。
基金资助:
广西电网有限责任公司科技项目(GXKJXM20160409)

A Probabilistic Power Flow Algorithm Based on Edgeworth Series and Multiple Linearization

Jie Liang

Electric Power Research Institute of Guangxi Power Grid Co.,Ltd. Nanning 530023 China

Received:2017-10-28 Online:2018-04-25 Published:2020-04-10

摘要/Abstract

摘要：

对含随机变量的大规模概率潮流问题,若使用Gram-Charlier级数展开式逼近随机变量的概率分布,计算量较大。建立考虑风电出力随机性和负荷波动性的概率潮流模型,并采用Edgeworth通过的Hermite正交矩阵的递推性降低级数高阶展开的计算复杂度,针对级数变换法高次项被舍去影响逼近精度的问题,采用多重线性化的方法通过对系统总有功功率的均匀划分,减小因潮流方程线性化时输入的随机变量的变化范围较大而引起的截断误差。IEEE 39节点系统的算例仿真结果验证了本方法的有效性。

关键词: 概率潮流, 多重线性化, 递推性, Edgeworth级数

Abstract:

On the problem of large-scale probabilistic power flow problems with random variables, if the Gram-Charlier series expansion was used to approximate the cumulative distribution of random variables, the amount of calculation was large. In order to reduce the computational complexity of higher order expansion by using the recurrence of Hermite orthogonal matrix of edgeworth, a probabilistic power flow model considering the randomness of wind power output and load fluctuation is established. According to the method of high-order series transform is eliminated the influence of calculation accuracy, the method of multiple linear systems by uniform division of the total active power is used to reduce the truncation error caused by the large variation range of the input random variables due to linearization of the power flow equation. Simulation results of IEEE 39 system verify the effectiveness of the proposed method.

Key words: Probabilistic power flow, multiple linearization, recursive, Edgeworth series

中图分类号:

TM711

梁捷. 基于Edgeworth级数和多重线性化的概率潮流算法[J]. 电气工程学报, 2018, 13(2): 36-40.

Jie Liang. A Probabilistic Power Flow Algorithm Based on Edgeworth Series and Multiple Linearization[J]. Journal of Electrical Engineering, 2018, 13(2): 36-40.

图/表 4

参考文献 12

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	本文方法	Gram-Charlier级数	MCS
ARMS(%)	1.34	1.3	/
计算耗时/s	14.04	17.87	64.54

基于Edgeworth级数和多重线性化的概率潮流算法

A Probabilistic Power Flow Algorithm Based on Edgeworth Series and Multiple Linearization

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