Analysis of Dynamic Voltage Response Based on Mixed Monotone System Theory

Minquan CHEN; Qian ZHANG; Deqiang GAN; Shibin BAI; Zhihao TIAN; Gang LIU

doi:10.7500/AEPS20210105004

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Analysis of Dynamic Voltage Response Based on Mixed Monotone System Theory

Basic Research | 更新时间：2025-06-16

- Analysis of Dynamic Voltage Response Based on Mixed Monotone System Theory
- Automation of Electric Power Systems Vol. 45, Issue 18, Pages: 85-93(2021)
- 作者机构：
  
  1.浙江大学电气工程学院，浙江省杭州市 310027
  2.国网宁夏电力有限公司，宁夏回族自治区银川市 750001
- 作者简介：
- 基金信息：
  
  National Key R&D Program of China(2016YFB0900605)
- DOI：10.7500/AEPS20210105004
  CLC：
- Received：05 January 2021，
  
  Revised：2021-05-12，
  
  Published Online：07 July 2021，
  
  Published：25 September 2021
- 稿件说明：
移动端阅览
陈民权,张谦,甘德强等.基于混合单调系统理论的电压动态响应分析[J].电力系统自动化,2021,45(18):85-93.

CHEN Minquan,ZHANG Qian,GAN Deqiang,et al.Analysis of Dynamic Voltage Response Based on Mixed Monotone System Theory[J].Automation of Electric Power Systems,2021,45(18):85-93.
陈民权,张谦,甘德强等.基于混合单调系统理论的电压动态响应分析[J].电力系统自动化,2021,45(18):85-93. DOI： 10.7500/AEPS20210105004.

CHEN Minquan,ZHANG Qian,GAN Deqiang,et al.Analysis of Dynamic Voltage Response Based on Mixed Monotone System Theory[J].Automation of Electric Power Systems,2021,45(18):85-93. DOI： 10.7500/AEPS20210105004.

摘要

电力系统电压控制存在典型的负反馈环节，使得系统雅可比矩阵呈现符号特征。这类结构特征与系统特性会对电压动态的鲁棒行为产生影响，决定了电压动态的响应规律，值得深入分析。针对计及励磁系统的电压动态响应机理开展研究，根据电压模型雅可比矩阵的符号特征，采用混合单调动态系统理论来分析电压响应规律，指出网络连接模式与同步机电压调节机制是电网具有较好电压稳定性的内在原因，并明确调节器比例系数与时间常数对电压稳定性的影响。首先

文中梳理了数学模型中的单调动态系统部分与负反馈环节，明确方程结构特征与雅可比矩阵符号特征。然后，应用混合单调系统理论在反馈通道上交换信息，快速构造增广单调系统，开展电压响应的双边估计。最后，结合增广系统解轨迹有界的充分条件，得到一种稳定域估计结果，可用于判断大干扰后的电压响应是否有界，有助于理解电压动态的鲁棒行为。

Abstract

There is a typical negative feedback link in the voltage control of the power system

which makes the system Jacobian matrix present the sign pattern. Such structural features and system characteristics are worthy of in-depth analysis

because they affect the robust behavior and determine the response law of voltage dynamics. The response mechanism of voltage dynamics considering the excitation system is studied. According to the sign pattern of the Jacobian matrix in the voltage model

the mixed monotone dynamic system theory is used to analyze the voltage response law. It is pointed out that the network connection mode and the synchronous machine voltage regulation mechanism are the internal reasons for the better voltage stability in the power grid. The influence of regulator proportional coefficient and time constant on the voltage stability is also investigated. Firstly

this paper sorts out the part of monotone dynamic system and the negative feedback link in the mathematical model to clarify the structural feature of the equation and the sign pattern of the Jacobian matrix. Then

the mixed monotone system theory is applied to exchange the information on the feedback channel to quickly construct an augmented monotone system

which can carry out the bilateral estimation of voltage response. Finally

combining the sufficient conditions for the bounded solution trajectory of the augmented monotone system

a stable region estimation result is obtained to judge whether the voltage response is bounded after a large disturbance. The result is helpful to understand the robust behavior of voltage dynamics.

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references

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Mixed Monotonicity Characteristic of Electromechanical Transient in Power System

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