188宝金博页面版

第 46 卷 第 6 期 中 国 电 机 工 程 学 报 Vol.46 No.6 Mar. 20, 2026 2366 2026 年 3 月 20 日 Proceedings of the CSEE ©2026 Chin.Soc.for Elec.Eng. DOI：10.13334/j.0258-8013.pcsee.251999 文章编号：0258-8013 (2026) 06-2366-15 中图分类号：TM 712 文献标识码：A 新能源电力系统小干扰动态的 几何特征与模块化分析方法 黄林彬1 ，罗梁骁 1 ，辛焕海 1 ，王丹 2 ，李武华 1 ，鞠平 1 (1．浙江大学电气工程学院，浙江省 杭州市 310007； 2．南京大学机器人与自动化学院，江苏省 苏州市 215163) Geometric Features and Modular Analysis of Small-signal Dynamics in Renewable Power Systems HUANG Linbin 1 , LUO Liangxiao 1 , XIN Huanhai 1 , WANG Dan 2 , LI Wuhua 1 , JU Ping 1 (1. College of Electrical Engineering, Zhejiang University, Hangzhou 310007, Zhejiang Province, China; 2. School of Robotics and Automation, Nanjing University, Suzhou 215163, Jiangsu Province, China) ABSTRACT: An important feature of renewable power systems is their high penetration of power electronic devices. The large-scale integration of power electronic devices is profoundly reshaping power system dynamics and giving rise to new stability problems. The difficulty in analyzing these problems lies in that massive numbers of power electronic devices, once interconnected through the power grid, form high-dimensional multi-input multi-output (MIMO) systems. For such systems, conventional eigenvalue analysis in the state space or generalized Nyquist criteria in the frequency domain can hardly provide an intuitive description of the dynamic interactions between devices and the grid, and cannot explain how these interactions determine closed-loop stability. They also offer limited guidance on how to reasonably regulate device behavior to ensure stability. This paper characterizes the “source-grid” dynamic interactions from geometric perspectives, using the Davis-Wielandt (DW) shell of complex matrices, as well as their numerical ranges, gain, and phase. Decentralized small-signal stability conditions and a modular analysis method based on the “geometric separation” principle are proposed. Our approach provides an intuitive visualization of the geometric features of various devices and the grid in terms of dynamic behavior, and reveals how their geometric interactions determine the system stability. It thus offers a geometric viewpoint for understanding stability characteristics, instability mechanisms, and identifying critical devices that undermine system stability. Building on this framework, the paper further discusses how to ensure closed-loop stability of 基金项目：国家自然科学基金联合基金集成项目(U24B6008)。 National Natural Science Foundation of China Joint Fund Integrated Project (U24B6008). large-scale heterogeneous multi-device systems via appropriate regulation of their geometric external characteristics, and how to construct the system in a modular fashion. KEY WORDS: power electronics devices; renewable energy; stability; Davis-Wielandt (DW) shell; numerical range; x-z graph; matrix gain and phase; decentralized stability conditions; modular analysis 摘要：新能源电力系统的一个重要特点是高度电力电子化。大规模电力电子装备的接入正在深刻改变电力系统的动态特性并引发新的稳定问题。这些新的稳定问题的分析难点在于，大量的电力电子装备经过电网络互联后形成了多输入多输出的高维复杂动态系统，当前基于状态空间的特征值判据或是基于广义奈奎斯特的频域判据都难以直观地展现大量装备与电网之间的动态交互，以及这些交互如何决定闭环系统稳定性，也难以指导如何合理地规范装备行为从而保证闭环系统稳定。该文从复矩阵的 Davis-Wielandt(DW)壳、数值域、增益、相位等几何视角刻画“源-网”之间的动态交互，提出基于“几何分离”的电力系统小干扰分散式稳定判据与模块化分析方法。所提方法可直观展示多类型装备与电网络在动态特性上的几何特征及“源-网”的几何交互如何决定系统稳定性，以此从几何视角认知系统的稳定特性与失稳机理，并定位破坏系统稳定性的关键装备。基于所提分析方法，进一步探讨如何通过合理规范装备的几何外特性从而保证海量多类型装备互联后的系统稳定性，实现系统模块化构建。 关键词：电力电子装备；新能源；稳定性；DW 壳；数值域；x-z 图；增益和相位；分散式稳定判据；模块化分析 0 引言 随着风光新能源、直流输电、电化学储能等技术的迅速发展，现代电力系统具有高比例新能源与