Error Analysis and Optimal State Space Selection of Linear Power Flow Equation

Gaofeng YANG; Ke ZHAO; Zhexin FAN; Zhifang YANG; Nan FENG; Juan YU

doi:10.7500/AEPS20190316001

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Error Analysis and Optimal State Space Selection of Linear Power Flow Equation

Basic Research | 更新时间：2020-07-14

- Error Analysis and Optimal State Space Selection of Linear Power Flow Equation
- Automation of Electric Power Systems Vol. 44, Issue 1, Pages: 109-117(2020)
- 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：
- 基金信息：
- DOI：10.7500/AEPS20190316001
  CLC：
- Received：16 March 2019，
  
  Revised：2019-08-12，
  
  Published Online：07 November 2019，
  
  Published：10 January 2020
- 稿件说明：
移动端阅览
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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references

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