Harmonic Balance Applied to a 2D Non Linear Finite-Element Magnetic
Model with Motion and Circuit Coupling
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.