NSF Young Investigator

本文的研究方向是探索和分析大型电力系统动态安全评估的新计算算法。要研究的是受压力的高度非线性、离散/连续系统(由混合微分/代数方程建模)与用于分析系统行为的数值方法之间的相互作用。众所周知，离散控制和限制器的加入会导致数值不稳定。随着系统描述变得更加现实和复杂，病态系统计算算法的数值稳健性和误差检测的研究变得越来越重要。对于这些更复杂的模型，必须更好地理解系统结构、数值稳健性和问题条件化之间的相互作用。

The proposed research is in the area of exploring and analyzing new computational algorithms for the dynamic security assessment of large power systems. To be investigated are the interactions between stressed highly nonlinear, discrete/continuous systems (modelled by mixed differential/algebraic equations) and the numerical methods used to analyze system behavior. The inclusion of discrete controls and limiters are known to cause numerical instabilities. The study of numerical robustness and error detection of computational algorithms of ill-conditioned systems is increasingly important as system descriptions become more realistic and complex. The interaction of system structure, numerical robustness and problem conditioning, must be better understood for these more complex models.