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A method for evaluating the performance of PSS with saturated input

机译：一种评估饱和输入PSS性能的方法

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摘要

In this paper, we report upon a method for estimating an ellipsoid, which resides entirely in the stability region of a linear system with saturation nonlinearities. To reduce the conservatism in the estimation, a procedure to transform the estimation problem into a simple convex optimization with linear matrix inequality (LMI) constraints is presented. As an application of this development, a method is introduced to estimate the stability region of a multi-machine power system with power system stabilizers (PSS) subject to saturated feedback. The idea is to check if the system state after a disturbance resides inside the estimated stability region. Thereby a sufficient condition is derived to conclude the effectiveness of saturated PSS controls. Numerical results of a test power system with three generators and five buses are described, indicating the reliability and simplicity of this approach.
机译：在本文中，我们报告了一种估计椭球的方法，该方法完全位于具有饱和非线性的线性系统的稳定区域中。为了减少估计中的保守性，提出了一种将估计问题转换为具有线性矩阵不等式（LMI）约束的简单凸优化的过程。作为此开发的应用，引入了一种方法，用于估计具有饱和反馈的电力系统稳定器（PSS）的多机电力系统的稳定区域。这个想法是要检查扰动后的系统状态是否位于估计的稳定区域内。从而得出一个充分的条件来推断饱和PSS控件的有效性。描述了具有三个发电机和五个母线的测试电力系统的数值结果，表明了该方法的可靠性和简便性。

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