AI 中文总结
针对传统电力系统稳定性分析的中心化及单平衡点局限，提出基于IODP的去中心化平衡集稳定分析与控制框架，经IEEE 39母线系统验证，可实现可变工况下的可扩展稳定控制。
AI 中文摘要
传统电力系统稳定性分析多为中心化模式，且以单一平衡点为核心，在大规模波动可再生能源接入场景下，该模式的局限性日益凸显。本文开发了一种用于稳定性分析与控制的去中心化框架，该框架可证明平衡集的渐近稳定性，而非给定单一运行点的渐近稳定性。为此，我们引入了一种称为输入-输出微分无源性（IODP）的新概念，该概念将互联系统的平衡集稳定性分解为施加于各设备的局部要求。这些要求的制定无需将特定运行平衡嵌入局部条件；一旦构建了经认证的区域，给定运行场景的稳定性验证便简化为检查其平衡是否位于经认证的集合中。所提出的条件要求每个母线具备足够水平的IODP，该水平由IODP指数量化。为补偿IODP不足，我们进一步开发了一种基于I/O变换的无源化控制器，该控制器可重塑对应设备的局部输入-输出行为。通过这种方式，所有并网组件均可满足系统级稳定性的去中心化条件。所提出的框架在改进的IEEE 39母线系统上得到验证，仿真结果表明，该框架为高度可变运行条件下的稳定性认证与控制提供了一种可扩展且面向平衡集的解决方案。
英文摘要
Conventional power-system stability analysis is largely centralized and centered on a single equilibrium point, which becomes increasingly restrictive in the presence of large-scale fluctuating renewable generation. This paper develops a decentralized framework for stability analysis and control that certifies the asymptotic stability of an equilibrium set rather than that of a given single operating point. To this end, we introduce a new notion termed input--output differential passivity (IODP), which decomposes equilibrium-set stability of the interconnected system into local requirements imposed on individual devices. These requirements are formulated without embedding a particular operating equilibrium into the local conditions; once the certified regions are constructed, stability verification for a given operating scenario reduces to checking whether its equilibrium lies in the certified set. The proposed conditions require each bus to possess a sufficient level of IODP, quantified by an IODP index. To compensate for an IODP shortage, we further develop an I/O-transformation-based passivation controller that reshapes the local input--output behavior of the corresponding device. In this way, all grid-connected components can be made to satisfy the decentralized conditions for system-wide stability. The proposed framework is validated on a modified IEEE 39-bus system. Simulation results demonstrate that it provides a scalable and equilibrium-set-oriented solution for stability certification and control under highly variable operating conditions.
Comments12 pages, 7 figures, 4 tables
