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Small signal stability is the ability of a system to maintain stability when subjected to small disturbances. Small signal analysis gives valuable data about the dynamic properties of the system and helps in its design, operation, and control. Time domain simulation and eigenvalue analysis are the two main ways to study system stability. Eigenvalue analysis are widely utilized to perform small signal...
This paper describes a new method and algorithm for the numerical solution of eigenvalues with the largest real part of positive matrices. The method is based on a numerical implementation of Collatz's eigenvalue inclusion theorem for non-negative irreducible matrices. Eigenvalues are analyzed for the studies of the stability of linear systems. Finally, a numerical discussion is given to derive the...
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