Stability of Large Scale Systems with High Order Model Reduction

该研究将扩展时间尺度概念，以涵盖长期动力学，开发新的数值技术，如多速率积分技术，并研究新的并行处理数值算法。共轭梯度法在求解其他工程系统的线性方程中广泛应用于并行模式，为了实现瞬态的高速仿真，将对其进行深入研究在电力系统中。此外，还将基于一种新的线性化分析形式，对电压崩溃进行理论上合理而完整的研究。正如在之前的提案中，我们通过研究专著提供了“电力系统中的能量函数分析”的更新，我们计划就以下主题(i)小信号分析或（ii）电压稳定性至少撰写一篇研究专著。我们认为这是电力工程界教育和人力资源发展的一个基本要素。

The research will extend the time scale concepts to cover long range dynamics, develop new numerical techniques such as multi-rate integration technique and also investigate new numerical algorithms for parallel processing. The conjugate gradient approach which is widely used in solving linear equations in other engineering systems on a parallel mode will be intensely investigated to achieve high speed simulation of transients in power systems. In addition a theoretically sound and complete study of voltage collapse study will be done based on a new form of linearized analysis. Just as in the case of previous proposals where we provided an update on the "Energy Function Analysis In Power Systems" through a research monograph, we plan to write a research monograph on at least one of the following topics (i) small signal analysis or (ii) voltage stability. We consider this as one essential element in development of education and human resources in power engineering community.