Performance of Runge-Kutta family numerical solvers for calculation of transient processes in AC machines

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Olga Korolova
  • Michael Popp
  • Wolfgang Mathis
  • Bernd Ponick
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Details

OriginalspracheEnglisch
Titel des Sammelwerks2017 20th International Conference on Electrical Machines and Systems, ICEMS 2017
Herausgeber (Verlag)Institute of Electrical and Electronics Engineers Inc.
ISBN (elektronisch)9781538632468
PublikationsstatusVeröffentlicht - 2 Okt. 2017
Veranstaltung20th International Conference on Electrical Machines and Systems, ICEMS 2017 - Sydney, Australien
Dauer: 11 Aug. 201714 Aug. 2017

Abstract

The efficiency analysis of Runge-Kutta family methods for solving ordinary differential equations (ODEs) in order to simulate typical transient processes in AC machines is performed in this paper considering the choice of the set of variables in the state space vector. The detailed analysis of the AC machine ODEs and their numerical solution is performed based on the estimation of the higher order derivatives and the numerical solution error using constant step solvers. The influence of the Runge-Kutta solver parameters and the choice of variables in the state space vector on the numerical performance is shown, and a method for the machine specific optimization of the ODE solver is proposed. The AC machine used for the numerical experiments is described by Park's two-axis model which is extended with the effect of rotor current displacement and elastic coupling with the load in the mechanical system.

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Performance of Runge-Kutta family numerical solvers for calculation of transient processes in AC machines. / Korolova, Olga; Popp, Michael; Mathis, Wolfgang et al.
2017 20th International Conference on Electrical Machines and Systems, ICEMS 2017. Institute of Electrical and Electronics Engineers Inc., 2017. 8056113.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Korolova, O, Popp, M, Mathis, W & Ponick, B 2017, Performance of Runge-Kutta family numerical solvers for calculation of transient processes in AC machines. in 2017 20th International Conference on Electrical Machines and Systems, ICEMS 2017., 8056113, Institute of Electrical and Electronics Engineers Inc., 20th International Conference on Electrical Machines and Systems, ICEMS 2017, Sydney, Australien, 11 Aug. 2017. https://doi.org/10.1109/icems.2017.8056113
Korolova, O., Popp, M., Mathis, W., & Ponick, B. (2017). Performance of Runge-Kutta family numerical solvers for calculation of transient processes in AC machines. In 2017 20th International Conference on Electrical Machines and Systems, ICEMS 2017 Artikel 8056113 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/icems.2017.8056113
Korolova O, Popp M, Mathis W, Ponick B. Performance of Runge-Kutta family numerical solvers for calculation of transient processes in AC machines. in 2017 20th International Conference on Electrical Machines and Systems, ICEMS 2017. Institute of Electrical and Electronics Engineers Inc. 2017. 8056113 doi: 10.1109/icems.2017.8056113
Korolova, Olga ; Popp, Michael ; Mathis, Wolfgang et al. / Performance of Runge-Kutta family numerical solvers for calculation of transient processes in AC machines. 2017 20th International Conference on Electrical Machines and Systems, ICEMS 2017. Institute of Electrical and Electronics Engineers Inc., 2017.
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abstract = "The efficiency analysis of Runge-Kutta family methods for solving ordinary differential equations (ODEs) in order to simulate typical transient processes in AC machines is performed in this paper considering the choice of the set of variables in the state space vector. The detailed analysis of the AC machine ODEs and their numerical solution is performed based on the estimation of the higher order derivatives and the numerical solution error using constant step solvers. The influence of the Runge-Kutta solver parameters and the choice of variables in the state space vector on the numerical performance is shown, and a method for the machine specific optimization of the ODE solver is proposed. The AC machine used for the numerical experiments is described by Park's two-axis model which is extended with the effect of rotor current displacement and elastic coupling with the load in the mechanical system.",
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