A Method of Investigating Electrical Systems with Periodically Changing Parameters

A. V. Gorelik; V. Yu. Gorelik; V. I. Apattsev; A. P. Baturin; V. A. Kobzev; I. A. Zhuravlev

doi:10.3103/S1068371217120070

A Method of Investigating Electrical Systems with Periodically Changing Parameters

Authors: Gorelik A.V.¹, Gorelik V.Y.¹, Apattsev V.I.¹, Baturin A.P.¹, Kobzev V.A.¹, Zhuravlev I.A.¹
Affiliations:
1. Russian University of Transport
Issue: Vol 88, No 12 (2017)
Pages: 842-844
Section: Article
URL: https://journals.rcsi.science/1068-3712/article/view/231191
DOI: https://doi.org/10.3103/S1068371217120070
ID: 231191

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Abstract

A method is presented of investigating the impulse-response-function stability of electrical systems with periodically time-varying parameters. The method uses the Laplace transformation and Hill’s determinants. The method is of general character and imposes minimum restrictions on the form of the differential equation. Expressions for the characteristic equation of the impulse-response function are derived. An example of calculation for the second-order differential equation is given.