Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory

Bingqing XIA; Danfeng SHEN; Xiang ZHENG; Wen HUA; Hao WU; Yonghua SONG

doi:10.7500/AEPS20190903005

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Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory

Basic Research | 更新时间：2025-06-16

- Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory
- Automation of Electric Power Systems Vol. 44, Issue 8, Pages: 116-123(2020)
- 作者机构：
  
  1.浙江大学电气工程学院，浙江省杭州市 310027
  2.国网浙江省电力有限公司，浙江省杭州市 310014
  3.国网浙江省电力公司科学研究院，浙江省杭州市 310014
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China;State Grid Cooperation of China
- DOI：10.7500/AEPS20190903005
  CLC：
- Received：03 September 2019，
  
  Revised：2019-11-30，
  
  Published Online：17 February 2020，
  
  Published：25 April 2020
- 稿件说明：
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夏冰清,申丹枫,郑翔等.基于准稳态模型的中长期电压稳定轨迹多项式逼近方法[J].电力系统自动化,2020,44(8):116-123.

XIA Bingqing,SHEN Danfeng,ZHENG Xiang,et al.Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory[J].Automation of Electric Power Systems,2020,44(8):116-123.
夏冰清,申丹枫,郑翔等.基于准稳态模型的中长期电压稳定轨迹多项式逼近方法[J].电力系统自动化,2020,44(8):116-123. DOI： 10.7500/AEPS20190903005.

XIA Bingqing,SHEN Danfeng,ZHENG Xiang,et al.Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory[J].Automation of Electric Power Systems,2020,44(8):116-123. DOI： 10.7500/AEPS20190903005.

摘要

针对电力系统中存在的影响中长期电压稳定性的可变参数，提出了一种基于准稳态模型的中长期电压稳定轨迹的多项式逼近方法

该方法可以利用所得的多项式逼近函数准确地分析系统参数的变化对中长期电压稳定性的影响。多项式逼近作为分析参数对系统状态影响的有效工具，其基本思想是用多项式近似地表示连续函数，文中在此基础上考虑电力系统中长期过程中的连续动态和离散动态，通过传统伽辽金方法构造出能够显式地描述系统变量与参数之间近似关系的多项式逼近式。与传统的线性化方法相比，由于文中所提方法可以描述系统的非线性特征，所以逼近精度有大幅提升，且方法的精度随着所选多项式基函数阶数的增加而提高。Nordic 74节点系统的算例分析结果表明该方法能在中长期电压稳定问题的研究中提供更准确的分析结果。

Abstract

There are many variable parameters in power systems which affect the stability of medium- and long-term voltage stability

a quasi-steady-state model based polynomial approximation method of medium- and long-term voltage stability trajectory is proposed. With this method

the impact of system parameter variation on medium- and long-term voltage stability can be accurately analyzed by using polynomial approximation function. Polynomial approximation is regarded as an effective tool to analyze the impact of analysis parameters on system state

the basic idea of which is approximating a continuous function with polynomial. Based on it

continuous dynamic and discrete dynamic in medium- and long-term power system are considered

and a polynomial approximation expression which can explicitly describe the approximation relationship between system variables and parameters is formed by the traditional Galerkin method. Compared with the traditional linearization technique

the approximation precision is increased greatly because the proposed method can describe the nonlinear characteristics of the system. In addition

the accuracy of the proposed method increases with the increase of the degree of the selected polynomial basis function. Case analysis results of Nordic 74 node system show that the method can provide more accuracy analysis results in the study of medium- and long-term voltage stability problems.

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