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Harmonic Balance Applied to a 2D Non Linear Finite-Element Magnetic Model with Motion and Circuit Coupling
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  • Elia Scolaro,
  • Luigi Alberti,
  • Ruth Sabariego,
  • Johan Gyselinck
Elia Scolaro
Universita degli Studi di Padova Dipartimento di Ingegneria Industriale
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Luigi Alberti
Universita degli Studi di Padova Dipartimento di Ingegneria Industriale
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Ruth Sabariego
Katholieke Universiteit Leuven Departement Elektrotechniek

Corresponding Author:ruth.sabariego@kuleuven.be

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Johan Gyselinck
Universite Libre de Bruxelles Bio- Electro- and Mechanical Systems
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Abstract

In this work, the harmonic balance approach is applied to a 2D non linear finite-element magnetic model with motion, coupled to a non linear circuit. The case study comprises a six-pole three-phase surface-mounted permanent magnet generator connected to a six-pulse full-wave diode bridge rectifier. Simulations are performed at fixed generator speed in two operating cases: with a open-circuit DC bus and supplying a load resistance. Both time stepping and harmonic balance approaches are deeply discussed focusing on the model under study, along with relevant implementation details. Harmonic balance results are compared with benchmark time stepping simulations in terms of voltage and current waveforms, progressively expanding the harmonic spectrum. The computational cost of the two approaches is reported as well. Simulation accuracy is satisfying with regard to time stepping benchmark results: relative errors on total harmonic distortion and global root-mean-square values are lower than 3% and 1%, respectively. However, the time stepping approach outperforms the harmonic balance one, due to the relatively short initial transient of the chosen case study. Further improvements on practical implementation are needed to exploit the potentialities of harmonic balance technique.
Submitted to International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
24 Jan 2024Review(s) Completed, Editorial Evaluation Pending
24 Jan 2024Editorial Decision: Revise Minor
15 Feb 20241st Revision Received
15 Feb 2024Submission Checks Completed
15 Feb 2024Assigned to Editor
15 Feb 2024Review(s) Completed, Editorial Evaluation Pending
17 Jul 2024Editorial Decision: Accept