On eigenvalue ranking indices for continuous linear time invariant systems

IEEE 1991 International Conference on Systems Engineering Pub Date : 1900-01-01 DOI:10.1109/ICSYSE.1991.161136

J. She, A. Feliachi

引用次数: 3

Abstract

The assessment of the importance of each single eigenvalue by deriving accurate ranking indices is discussed. The essential or critical modes are defined as the ones that contribute the most to a prespecified quadratic performance index, e.g. output energy function. Specifically, three ranking methods for continuous linear time-invariant systems are proposed. The first method is to use the results of A. Feliachi (IEEE Trans. Power Syst., vol.5, no.3, p.783-7, 1990) and derive a new separation method of the overall contribution index in ranking indices. The second approach, called the weighting factor ranking index, is based on the relative importance of joint eigenvalue contributions to the energy function. Finally, a remainder ranking index based on the least contribution to the energy function when the eigenvalue of concern is ignored is derived. A comparison of all these methods is given.<>

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连续线性时不变系统的特征值排序指标

讨论了通过给出准确的排序指标来评估每个特征值的重要性。基本或关键模式被定义为对预先指定的二次性能指标贡献最大的模式，例如输出能量函数。具体地说，提出了连续线性定常系统的三种排序方法。第一种方法是使用A. Feliachi (IEEE Trans)的结果。电力系统。，第5卷，no。3, p.783- 77,1990)，并推导出排序指数中总体贡献指数的新分离方法。第二种方法，称为加权因子排序指标，是基于联合特征值对能量函数的贡献的相对重要性。最后，在忽略关注特征值的情况下，推导出基于对能量函数贡献最小的剩余排序指标。并对这些方法进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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IEEE 1991 International Conference on Systems Engineering

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