发表机构
South Dakota State University; University of Tennessee, Knoxville（南达科他州立大学; 田纳西大学诺克斯维尔分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出基于等稳定线的非线性模型降阶方法，用于电力系统振荡分析，并在IEEE 39节点系统上验证了其精度和阻尼改善效果。
AI 中文摘要
电力系统通常由高维动态模型表示，这使得非线性控制设计计算成本高昂，并限制了其实际应用。因此，振荡分析和阻尼控制通常依赖于线性化模型，但这类模型无法捕捉大扰动引起的非线性振荡行为。本文提出了一种基于等稳定线的模型降阶方法，用于电力系统的非线性模态分析。该方法构建与选定振荡模态相关的不变流形，并利用等稳定线坐标仅用两个实状态变量描述该模态。等稳定线公式给出线性自治模态动力学，非线性状态重构和输入响应在模态流形上计算。随后，直接在降阶坐标中制定最优阻尼控制问题。对IEEE 39节点系统的案例研究证明了所提模型在描述非线性振荡方面的准确性，并显示出与使用线性降阶模型设计的控制相比，阻尼性能得到改善。
英文摘要
Power systems are often represented by high-dimensional dynamic models, making nonlinear control design computationally expensive and limiting its practical application. Oscillation analysis and damping control therefore commonly rely on linearized models, which do not capture the nonlinear oscillatory behavior induced by large disturbances. This paper proposes an isostable-based model reduction method for nonlinear modal analysis of power systems. The method constructs an invariant manifold associated with a selected oscillatory mode and uses isostable coordinates to describe the mode with only two real state variables. The isostable formulation gives linear autonomous modal dynamics, with nonlinear state reconstruction and input response computed on the modal manifold. An optimal damping control problem is then formulated directly in the reduced coordinates. Case studies on the IEEE 39-bus system demonstrate the accuracy of the proposed model in describing nonlinear oscillations and show improved damping compared with control designed using a linear reduced model.
