title: Sufficient global stability condition for a model of the synchronous electric motor under nonlinear load moment
metadata.name: dc.contributor.author
metadata.value: Konosevich, Boris I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Konosevich, Yuliya B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-04-26T09:30:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-04-26T09:30:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Konosevich B. I., Konosevich Yu.B. Sufficient global stability condition for a model of the synchronous electric motor under nonlinear load moment. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 1, pp. 79–90.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.109
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9501
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Systems of differential equations describing the dynamics of synchronous electric machines
  are periodic in the angular variable, and so they have a denumerable set of steady solutions
  corresponding to the operating mode of steady rotation of the rotor. Such system is called
  to be of gradient type if any solution of this system tends with time to one of these steady
  rotations (equilibrium states). The gradient type system is said to be globally stable when
  it has only one locally asymptotically stable equilibrium state on the period of the angular
  variable. In the article the subject of investigation is the Leonov Zaretskiy model of the
  synchronous electric motor (Vestnik St.Petersburg University. Mathematics, 45(4), 2012),
  which includes differential equations for electric currents in the damper and excitation
  windings of the rotor. The authors of this model proved that it is globally stable in the case
  of zero load moment. In the present paper the load moment is assumed to be a nonlinear function of the angular velocity of the rotor, having a linear estimate. Easily verifiable
  sufficient condition of global stability is obtained for this case.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: synchronous electric motor
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: global stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: reduction method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: LaSalle invariance principle
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Sufficient global stability condition for a model of the synchronous electric motor under nonlinear load moment
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 09-Konosevich.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9501/1/09-Konosevich.pdf
resources.format: Adobe PDF
resources.size: 405,39 kB