Harmonic flux penetrating solid conductive material causes eddy currents inside. It seems plausible that its magnitude does not exceed the exciting magnetomotive force (mmf). However, under certain circumstances the opposite occurs. This article deals with a special case in which the eddy current is approximately 13% higher than the exciting mmf. An analytical field solution, a finite element calculation and a measurement proving this phenomenon are presented. A special flux linkage is turned out to be the reason for this phenomenon. Finally, another example with higher pronounced mmfexceeding in a coil is presented.
The paper discusses the modelling of magnetic coupling in ignition coils by fractional differential equations. The use of fractional-order coupling allows us to consider the losses caused by the non-linearity of the ferromagnetic core of the ignition coil and obtain the waveform of the ignition coil’s secondary voltage closest to the values obtained experimentally.