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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, Volume 10, Issue 3, Pages 499–515
DOI: https://doi.org/10.21638/spbu01.2023.305
(Mi vspua256)
 

MATHEMATICS

Computer analysis of the differential equation of the model of the synchronous electric motor that does not include electric currents

B. I. Konosevich, Yu. B. Konosevich

Institute of Applied Mathematics and Mechanics, 74, ul. R. Luxemburg, Donetsk, 283050, Russian Federation
References:
Abstract: Phase portraits of the well-known equation of the no-current model of the synchronous electric motor are obtained with use of computer, and some properties of its solutions are noted, which are imperceptible at the phase portraits, obtained analytically. With use of computer, a graph is built for the curve, representing the critical value versus the principal stationary value of the angular variable. Linear and sinusoidal approximations are proposed for this curve, maximum absolute and relative errors of these approximations are calculated.
Keywords: synchronous electric motor, phase portrait, critical value, global stability, reduction method.
Received: 26.02.2022
Accepted: 16.02.2023
Document Type: Article
UDC: 531.36, 51-37
MSC: 70E50, 65L07
Language: Russian
Citation: B. I. Konosevich, Yu. B. Konosevich, “Computer analysis of the differential equation of the model of the synchronous electric motor that does not include electric currents”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023), 499–515
Citation in format AMSBIB
\Bibitem{KonKon23}
\by B.~I.~Konosevich, Yu.~B.~Konosevich
\paper Computer analysis of the differential equation of the model of the synchronous electric motor that does not include electric currents
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2023
\vol 10
\issue 3
\pages 499--515
\mathnet{http://mi.mathnet.ru/vspua256}
\crossref{https://doi.org/10.21638/spbu01.2023.305}
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