南方电网技术2026，Vol.20Issue(4)：39-49,11.DOI:10.13648/j.cnki.issn1674-0629.2026.04.004
MIMO系统扰动反馈特性及稳定裕度量化分析方法
Quantitative Analysis Method of Disturbance Feedback Characteristics and Stability Margins for MIMO Systems
摘要
Abstract
In response to the challenges in stability analysis posed by the multiple-input multiple-output(MIMO)characteristics in power systems,this paper innovatively introduces input-output stability theory and the small-gain theorem into the calculation of system stability margins.A feedback interconnection framework of"system-disturbance"is established,along with a quantitative method for assessing stability margins.The proposed approach comprises two key contributions:first,the computation of the maximum singular value of the system to establish a robust stability criterion for MIMO systems,which effectively characterizes the coupling characteristics among variables;second,the application of the small-gain theorem to develop an explicitly quantifiable gain margin index,thereby enabling the computation of stability margins that systematically account for system uncertainties.Simulation results demonstrate that the proposed index accurately reflects the system's disturbance rejection capability and the influence of control parameters on stability,even under complex variations in system dynamics.This method provides a unified analytical tool for evaluating the stability characteristics of diverse devices in power systems,offering significant theoretical and practical value.关键词
MIMO系统/扰动反馈特性/小增益定理/稳定裕度/抗扰能力Key words
MIMO systems/disturbance feedback characteristics/small-gain theorem/stability margins/disturbance rejection capability分类
信息技术与安全科学引用本文复制引用
刘崇茹,唐奕明,苏晨博,倪京奥,郭昊,吕懿澎..MIMO系统扰动反馈特性及稳定裕度量化分析方法[J].南方电网技术,2026,20(4):39-49,11.基金项目
国家自然科学基金资助项目(U23B6008). Supported by the National Natural Science Foundation of China under Grant U23B6008. （U23B6008）
