Two-axis models for torsional vibration of synchronous machines

Antero Arkkio, Timo P. Holopainen

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


Simple models of synchronous machines are studied for torsional vibration analysis of electrically driven drive trains. A non-linear system model of the electrical machine is derived based on the two-axis equations. It is linearized to a small-signal model. The validity of these models is studied by comparing their results with the results from time-discretized finite element analysis. Four types of synchronous machine under torsional vibration are used as test cases. The results of the small-signal two-axis model show good agreement with the results of finite element analysis. All the three models predict negative damping of torsional vibration over a wide frequency range from zero to the supply frequency for all the four test machines.

Original languageEnglish
Title of host publicationProceedings of the 2016 22nd International Conference on Electrical Machines, ICEM 2016
Number of pages7
ISBN (Electronic)9781509025381
Publication statusPublished - 2 Nov 2016
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Electrical Machines - Lausanne, Switzerland
Duration: 4 Sep 20167 Sep 2016
Conference number: 22


ConferenceInternational Conference on Electrical Machines
Abbreviated titleICEM
Internet address


  • damping coefficient
  • finite element analysis
  • small-signal models
  • stiffness coefficient
  • synchronous machines
  • torsional vibration
  • two-axis models

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