Stability of Large Scale Systems with High Order Model Reduction

该建议涉及非常重要的领域的理论发展和建模的混合电力系统，动态可用传输能力（容量），使用通用最小残差法（GMRES），以加快模型计算，通过实时控制使用FACTS设备的拥塞减少。过去的工作包括应用轨迹灵敏度理论的参数变化，初始条件和机器（如发电机）的灵敏度，以及定位在电力网络中的漏洞。这一建议针对的是在重组后的行业内进行安全评估的问题。 这种操作已经将动态安全评估关注的焦点转移到可用传输容量的评估上。 为了处理这个重新定义的问题，建议地址（i）更详细的系统建模，将电力电子设备的网络流量控制在一个非线性混合模型，和（ii）使用轨迹灵敏度来评估偶然的动态稳定性。 提出的一个特殊策略是“使用迭代问题求解器技术中获得的结果来求解状态空间和灵敏度模型”，因为“当使用同时隐式方法时，两个模型的时间常数是相同的。

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.