Robust Stability of Power Systems

9319352 Michel我们建议研究鲁棒控制理论结果在电力系统定性分析中的适用性。 到目前为止，只有少数孤立的应用鲁棒控制理论的结果，电力系统已出现在文献中。 拟议的工作包括两个主要调查领域： (a)电力系统的建模，以及（B）电力系统的平衡的鲁棒稳定特性。 我们将为当代电力系统开发模型，其中包括一些最新的设备和一些最新的技术（例如，柔性交流输电系统（FACTS）、静态无功补偿器（SVC）等）。 这项研究将建立在主要研究人员以前的NSF支持工作的基础上。 拟议工作的第二部分包括两个部分。 在第一部分中，我们打算进行鲁棒稳定性分析调查的线性模型的电力系统的状态空间。 在其他领域中，这种结果在合成过程中（如稳定剂设计）是重要的。 我们的方法将依赖于Hurwitz的区间矩阵的稳定性调查中出现的电力系统参数摄动的建模。 在第二部分中，我们将上述工作扩展到状态空间设置的电力系统的非线性模型。 上述（两个部分）提出的工作将依赖于主要研究者及其同事在NSF支持下开发的稳定性结果。 ***

9319352 Michel We propose to investigate the applicability of robust control theoretic results in the qualitative analysis of power systems. Thus far, only a few isolated applications of robust control theoretic results to power systems have appeared in the literature. The proposed work consists of two principal areas of inquiry: (a) modeling of power systems, and (b) robust stability properties of an equilibrium of a power system. We will develop models for contemporary power systems which include some of the latest devices and some of the most current technologies (e.g., flexible 'AC transmission systems (FACTS), static VAR compensators (SVC), and so forth). This research will build on previous NSF supported work by the principal investigators. The second part of the proposed work consists of two segments. In the first segment we intend to conduct robust stability analysis investigations of linear models of power systems in the state space. Among other areas, results of this kind are important in synthesis procedures (such as stabilizer design). Our approach will rely on Hurwitz stability investigations of interval matrices which arise in the modeling of power systems subjected to parameter perturbations. In the second segment we extend that above proposed work to nonlinear models of power systems in a state space setting. The work proposed above (in both segments) will rely on stability results developed by the principal investigators and their co- workers with prior NSF support. ***