Stability of Large Scale Systems with High Order Model Reduction

高阶模型简化的大型系统的稳定性

• 批准号: 0000474
• 负责人: M. Pai
• 金额: $ 13万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-08-01 至 2003-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0000474&HistoricalAwards=false
• 关键词: Stability; Large; Scale; Systems; Order

The proposal deals with very important area of theory development and modeling for hybrid power systems, dynamic available transmission capability (capacity), use of General Minimal Residual method (GMRES) to speed up model computation, congestion reduction via real-time control using FACTS devices. Past work includes application of Trajectory Sensitivity Theory to parameter variations, initial conditions and machine (e.g. generator) sensitivity as well as locating vulnerabilities in a power network. This proposal addresses problems in security assessment within a restructured industry. Such operation has shifted the focus of concern in dynamic security assessment to the assessment of available transmission capacity. In order to handle this redefined problem, the proposal addresses (i) modeling of the system in greater detail, to incorporate power electronic devices for network flow control within a nonlinear hybrid model, and (ii) the use of trajectory sensitivity to evaluate contingent dynamic stability. A particular strategy proposed is to "use the results obtained in the iterative problem solver technique to solve both the state space and the sensitivity models," since "the Jacobean for both the models is the same while using the simultaneous implicit method.

该建议涉及混合电力系统理论发展和建模的非常重要的领域，动态可用输电能力(容量)，使用通用最小残差法(GMRES)来加快模型计算，通过使用FACTS设备实时控制来减少拥塞。过去的工作包括将轨迹敏感度理论应用于参数变化、初始条件和机器(例如发电机)的敏感度以及定位电网中的脆弱性。这项提案解决了重组后的行业内安全评估方面的问题。这样的运行将动态安全评估的关注焦点转移到了可用输电容量的评估上。为了处理这个重新定义的问题，该建议涉及(I)更详细的系统建模，将用于网络流量控制的电力电子设备纳入到非线性混合模型中，以及(Ii)使用轨迹灵敏度来评估或有动态稳定性。提出的一种特殊策略是“使用迭代问题求解技术中获得的结果来求解状态空间和灵敏度模型”，因为“在使用同时隐式方法时，这两个模型的雅各布豆是相同的”。