Nonlinear Power System Behavior Using Normal Forms: Extension of Linear System Analysis Via Higher Order Correction

使用范式的非线性电力系统行为：通过高阶校正扩展线性系统分析

• 批准号: 9314453
• 负责人: A. Fouad
• 金额: $ 14万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-04-15 至 1996-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9314453&HistoricalAwards=false
• 关键词: Nonlinear; Power; System; Behavior; Using

9314453 Fouad Today's heavily loaded and stressed power transmission networks exhibit very complex dynamic system behavior, when subjected to small or large disturbances. Several aspects of this complex behavior are alarming to the power system analyst, since they are likely to reflect structural weakness in the power network. When subjected to small disturbances, the main concern is the power system conditions which lead to the phenomenon known as the interarea mode of oscillation. When subjected to a large disturbance, a stressed and heavily loaded interconnected power network may experience a system split involving generators far away from the location of the disturbance. Analysis of the fundamental modes of oscillation play a crucial role in power system dynamic performance. Controls are tuned to mitigate lightly damped modes. The analysis is usually done using a linearized system model. If fundamental modes interact due to nonlinearities, then it becomes important to understand the nature of these interactions and to incorporate them in the analysis and design procedure. The proposers intend to study the dynamic power system behavior under stressed (e.g., heavy load) operating conditions, using normal forms of vector fields. The approach to be used is to obtain nonlinear corrections to the linear behavior through normal form analysis, i.e., through incorporating higher order (polynomial) terms. The objective is to obtain a more precise understanding of the local and "almost global" behavior of a system via polynomial approximation, invariant manifolds (stable, unstable and center manifolds), unfolding via bifurcation parameters, sensitivity analysis and incorporation of random perturbations. This approach, which is a standard approach in the theory of dynamical systems, has not been used for the analysis of large electrical power networks, and we propose a systematic study of normal form analysis for these systems to assess the us e of information from higher order nonlinear analysis for power systems operation. ***

9314453 Fouad 当今的重载和高压输电网络在受到或大或小的干扰时表现出非常复杂的动态系统行为。 这种复杂行为的几个方面令电力系统分析师感到震惊，因为它们很可能反映了电力网络的结构性弱点。 当受到小扰动时，主要关注的是电力系统状况，这会导致称为区域间振荡模式的现象。 当受到较大扰动时，受压且负载较重的互连电网可能会出现系统分裂，涉及远离扰动位置的发电机。 振荡基本模式的分析对于电力系统的动态性能起着至关重要的作用。 控制装置经过调整以减轻轻阻尼模式。 通常使用线性化系统模型进行分析。 如果基本模式由于非线性而相互作用，那么了解这些相互作用的性质并将它们纳入分析和设计过程就变得很重要。 提议者打算使用向量场的标准形式来研究压力（例如重负载）运行条件下的动态电力系统行为。 所使用的方法是通过范式分析（即通过合并高阶（多项式）项）获得线性行为的非线性校正。 目标是通过多项式近似、不变流形（稳定、不稳定和中心流形）、通过分岔参数展开、敏感性分析和随机扰动的结合，更准确地理解系统的局部和“几乎全局”行为。 这种方法是动力系统理论中的标准方法，尚未用于大型电力网络的分析，我们提出对这些系统的范式分析进行系统研究，以评估来自更高层的信息的使用。电力系统运行的阶次非线性分析。 ***