Computation of stability delay margin of time-delayed generator excitation control system with a stabilizing transformer
type: Item
instance of: scholarly article
title: Computation of stability delay margin of time-delayed generator excitation control system with a stabilizing transformer
zbMATH Open document ID: 1407.93230
DOI: 10.1155/2014/392535
author: Saffet Ayasun
author: Ulaş Eminoğlu
author: Şahin Sönmez
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the effect of time delays on the stability of a generator excitation control system compensated with a stabilizing transformer known as rate feedback stabilizer to damp out oscillations. The time delays are due to the use of measurement devices and communication links for data transfer. An analytical method is presented to compute the delay margin for stability. The delay margin is the maximum amount of time delay that the system can tolerate before it becomes unstable. First, without using any approximation, the transcendental characteristic equation is converted into a polynomial without the transcendentality such that its real roots coincide with the imaginary roots of the characteristic equation exactly. The resulting polynomial also enables us to easily determine the delay dependency of the system stability and the sensitivities of crossing roots with respect to the time delay. Then, an expression in terms of system parameters and imaginary root of the characteristic equation is derived for computing the delay margin. Theoretical delay margins are computed for a wide range of controller gains and their accuracy is verified by performing simulation studies. Results indicate that the addition of a stabilizing transformer to the excitation system increases the delay margin and improves the system damping significantly.
Mathematics Subject Classification ID: 93C80
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7016330
Wikidata QID: Q59064964
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/392535
OpenAlex ID: W1972815021
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description: scientific article; zbMATH DE number 7016330