ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Cycles of Differential Equations of Synchronous Electric Machines

Author(s):

G. A. Leonov

Professor
Saint-Petersburg State University,
The Faculty of Mathematics and Mechanics
Universitetsky prospekt, 28,
198504, Peterhof, St. Petersburg, Russia

leonov@math.spbu.ru

A. M. Zaretskiy

Post-graduate student
The faculty of Mathematics and mechanics
Saint-Petersburg State University

zaretsky.alexander@gmail.com

Abstract:

In the work a new mathematical model of a four-poles synchronous machine with serial connection is proposed. The limit load problem is considered. For obtaining estimates of limit load, the non-local reduction method is applied. Based on modification of the non-local reduction method the criteria of existence of circular solutions and cycles of the second kind are obtained.

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