潮流方程线性化误差分析及最优状态空间选取

杨高峰; 赵科; 樊哲新; 杨知方; 冯楠; 余娟

doi:10.7500/AEPS20190316001

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潮流方程线性化误差分析及最优状态空间选取

学术研究 | 更新时间：2020-07-14

- 潮流方程线性化误差分析及最优状态空间选取
- Error Analysis and Optimal State Space Selection of Linear Power Flow Equation
- 电力系统自动化 2020年44卷第1期页码：109-117
- 作者机构：
  
  1. 输配电装备及系统安全与新技术国家重点实验室(重庆大学)，重庆市400044
  2. 国网重庆市电力公司，重庆市 400015
- 作者简介：
  
  樊哲新(1994—)，男，博士研究生，主要研究方向：电力系统运行优化与分析。E-mail：fzxsite@qq.com
  杨知方(1992—)，男，通信作者，博士，研究员，主要研究方向：电力系统运行优化与分析。E-mail：yzf1992@cqu.edu.cn
  余娟(1980—)，女，博士，教授，主要研究方向：电力与能源经济优化运行、风险评估、深度学习。E-mail：148454745@qq.com
- 基金信息：
  
  国家自然科学基金青年科学基金项目(51807014);国家电网科技项目“基于非线性映射降阶技术的有功、无功协同调度关键技术研究及应用”;重庆市院士牵头科技创新引导专项(cstc2018jcyj-yszxX0001)
- DOI：10.7500/AEPS20190316001
  中图分类号：
- 收稿日期：2019-03-16，
  
  修回日期：2019-08-12，
  
  网络出版日期：2019-11-07，
  
  纸质出版日期：2020-01-10
- 稿件说明：
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樊哲新,杨知方,冯楠等.潮流方程线性化误差分析及最优状态空间选取[J].电力系统自动化,2020,44(01):109-117.

FAN Zhexin,YANG Zhifang,FENG Nan,et al.Error Analysis and Optimal State Space Selection of Linear Power Flow Equation[J]. Automation of Electric Power Systems,,2020,44(01):109-117.
樊哲新,杨知方,冯楠等.潮流方程线性化误差分析及最优状态空间选取[J].电力系统自动化,2020,44(01):109-117. DOI： 10.7500/AEPS20190316001.

FAN Zhexin,YANG Zhifang,FENG Nan,et al.Error Analysis and Optimal State Space Selection of Linear Power Flow Equation[J]. Automation of Electric Power Systems,,2020,44(01):109-117. DOI： 10.7500/AEPS20190316001.

摘要

线性潮流方程广泛应用于经济调度、规划优化、概率分析等场景中，不同线性潮流方程的根本差别在于“状态变量函数形式”的选取。从一般的线性潮流方程出发，将潮流方程线性化误差分解为电压相角和电压幅值相关的线性化误差，通过理论推导及数值分析，提出一种潮流方程状态空间变换的归一化分析方法

得到潮流方程线性化误差的一般特性，给出常用状态变量函数形式下潮流方程线性化误差的分布规律。基于上述理论，设计一种潮流方程最优状态空间的选取方法，并对实际应用场景中选择最优的线性潮流模型进行分析。

Abstract

Linear power flow equations are widely used in scenarios such as economic scheduling

planning optimization

and probability analysis. The fundamental difference between different linear power flow equations lies in the selection of the state variable function form. In this paper

the linearization error of power flow equation is decomposed into linearization errors related to voltage angle and voltage magnitude

which are quantitatively analyzed separately. A normalized analysis method for state space transformation of power flow equation is proposed to obtain the general characteristics of linearization error of power flow equation. Based on this theory

this paper designs a method for selecting the optimal state space of the power flow equation

and the selection of the optimal linear power flow model is analyzed in the actual application scenario.

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