Analysis on Transient Voltage Stability of Power System with Photovoltaic Based on Monotone System Theory

WANG Bo; ZHU Xiaojie; LI Zhenyao; GAN Deqiang; LIAO Shengwen; HE Xu

doi:10.7500/AEPS20220414008

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Analysis on Transient Voltage Stability of Power System with Photovoltaic Based on Monotone System Theory

Basic Research | 更新时间：2025-06-16

- Analysis on Transient Voltage Stability of Power System with Photovoltaic Based on Monotone System Theory
- Automation of Electric Power Systems Vol. 47, Issue 3, Pages: 19-29(2023)
- 作者机构：
  
  1.国网浙江省电力有限公司宁波供电公司，浙江省宁波市 315000
  2.浙江大学电气工程学院，浙江省杭州市 310027
- 作者简介：
- 基金信息：
- DOI：10.7500/AEPS20220414008
  CLC：
- Received：14 April 2022，
  
  Revised：2022-08-08，
  
  Published Online：14 December 2022，
  
  Published：10 February 2023
- 稿件说明：
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王波,朱晓杰,李振垚等.基于单调系统理论的光伏并网系统暂态电压稳定性分析[J].电力系统自动化,2023,47(3):19-29.

WANG Bo,ZHU Xiaojie,LI Zhenyao,et al.Analysis on Transient Voltage Stability of Power System with Photovoltaic Based on Monotone System Theory[J].Automation of Electric Power Systems,2023,47(3):19-29.
王波,朱晓杰,李振垚等.基于单调系统理论的光伏并网系统暂态电压稳定性分析[J].电力系统自动化,2023,47(3):19-29. DOI： 10.7500/AEPS20220414008.

WANG Bo,ZHU Xiaojie,LI Zhenyao,et al.Analysis on Transient Voltage Stability of Power System with Photovoltaic Based on Monotone System Theory[J].Automation of Electric Power Systems,2023,47(3):19-29. DOI： 10.7500/AEPS20220414008.

摘要

随着新能源机组大量并网，现代电力系统电压稳定问题日益突出，亟需有效的电压稳定分析方法。基于单调系统理论，对光伏并网的电力系统电压稳定性进行了分析。通过模块化求导方法，证明了电力系统暂态电势子系统的雅可比矩阵符号特性满足互联单调系统条件，进而基于互联单调系统小增益定理对电力系统暂态电势子系统进行稳定性分析，并采用增益函数雅可比矩阵谱半径作为系统平衡点渐近稳定性的判据。借助特殊矩阵论，量化分析了部分电网参数对增益函数雅可比矩阵谱半径的影响，以此作为变流器控制参数设置的理论依据。在10机39节点系统中对上述结论进行了验证。仿真算例结果表明运行在单位功率因数下的跟网型变流器会增加谱半径对同步发电机参数的灵敏度，并导致系统鲁棒性变差；构网型变流器的无功功率-电压下垂系数的增加和出口电抗的减小能够增强系统的电压稳定性。

Abstract

With the large-scale integration of renewable energy generators to power grid

the voltage stability problem of modern power systems is increasingly prominent

and effective voltage stability analysis methods is urgently required. The voltage stability of the systems with photovoltaics is analyzed based on the monotone system theory. It is proven that the Jacobian matrix of the voltage subsystem of power systems has sign pattern of the interconnected monotone system through the modular derivation method. The stability of the voltage subsystem of the power system is analyzed based on the small-gain theorem of the interconnected monotone system

and the spectral radius of the Jacobian matrix of the gain function is adopted as the criterion for the asymptotic stability of the system equilibrium point. The influence of some parameters on the spectral radius of the Jacobian matrix of the gain function based on the special matrix theory is quantifiably analyzed as the theoretical basis for the setting of the control parameters of the converters. The above conclusions are verified by the 10-machine 39-bus system. The simulation results show that the grid-following converters running under the unity power factor will increase the sensitivity of the spectral radius to the parameters of the synchronous generators

and cause the weaker system robustness

while the increase of the reactive power-voltage droop gain and the outlet reactance reduction of the grid-forming converters can enhance the voltage stability of the power system.

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