loading page

Harmonic Balance Applied to a 2D Non Linear Finite-Element Magnetic Model with Motion and Circuit Coupling
  • +1
  • Elia Scolaro,
  • Luigi Alberti,
  • Ruth Sabariego,
  • Johan Gyselinck
Elia Scolaro
Universita degli Studi di Padova Dipartimento di Ingegneria Industriale
Author Profile
Luigi Alberti
Universita degli Studi di Padova Dipartimento di Ingegneria Industriale
Author Profile
Ruth Sabariego
Katholieke Universiteit Leuven Departement Elektrotechniek

Corresponding Author:[email protected]

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


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.