基于时序分析的数字物理混合仿真技术:（三）稳定性分析

YE Jun; MIN Yong; MIN Rui; LIANG Xu; LI Guojie

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基于时序分析的数字物理混合仿真技术:（三）稳定性分析

更新时间：2025-08-13

- 基于时序分析的数字物理混合仿真技术:（三）稳定性分析
- Automation of Electric Power Systems Vol. 36, Issue 15, Pages: 14-18(2012)
- 作者机构：
  
  电力系统及发电设备控制和仿真国家重点实验室，清华大学,北京市,100084
- 作者简介：
- 基金信息：
- DOI：
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- Published：2012
- 稿件说明：
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YE Jun, MIN Yong, MIN Rui, et al. [J]. Automation of electric power systems, 2012, 36(15): 14-18.
DOI：

YE Jun, MIN Yong, MIN Rui, et al. [J]. Automation of electric power systems, 2012, 36(15): 14-18. DOI：

摘要

基于离散动态模型，对电力一次系统数字物理混合仿真的稳定性进行了研究。将混合仿真理解为一种数值方法，其稳定性由延时系统和离散动态模型的稳定性决定。基于延时微分方程组的理论，分析了延时系统的稳定性及离散动态模型的稳定性，并推导了接口稳定性的条件。通过LC二阶电路的混合仿真实验，验证了理论分析的结论。

Abstract

Based on the discrete dynamic model， the stability of hardware-in-the-loop simulation（PHILS） of power systems is studied. From the perspective of a numerical approach， the stability of PHILS is determined by the delay system， that PHILS converges to， and the absolute stability of iterations of the discrete dynamic model. Based on delay differential equations（DDEs） theory， the stability of delay system and the discrete dynamic model is analyzed， and the conception of interface stability is proposed. A PHILS experiment of an LC circuit is implemented， and the experimental results verify the conclusions of theoretical analysis.This work is supported by State Grid Corporation of China.

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