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Iron core loss in transient excitation mode - QuickField simulation example

This is an example of the iron losses calculation in transient magnetic simulation performed with QuickField software.

Engineering question

How to find transient core losses under rectangular excitation?

Answer
Set up a plane-parallel QuickField Transient Magnetics problem for a ferromagnetic core under rectangular excitation and evaluate transient core losses from computed field results.

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Typical applications
transformer magnetic cores, pulsed magnetic cores, rectangular excitation cores

Iron core loss in transient excitation mode

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Simulation problem

Problem Type
Plane-parallel problem of transient magnetics.

Geometry
Iron core loss in transient excitation mode E-core transformer E-core LV- LV+ HV- HV+ 5.7 mm 4.7 19.1 mm

Given
Core type: E19/8/5-3C81 [1]
Magnetic permeability of MnZn ferrite μ=2700
Primary winding:
    Number of turns - 80
    Waveform - periodic rectangular wave
    Frequency - 20 kHz
    Voltage magnitude - 40 V

Task
Calculate core loss.

Solution
According to [2] for rectangular waves it is possible to use Steinmetz-like equation (referred as equation (8) in this report):
Pv[W/m³] = max(k1·fα1·Bβ1, k2·fα2·Bβ2),
with material-dependent parameters, which for the E-core E19/8/5-3C81 from Ferroxcube are:
k1 = 18.02, α1 = 1.23, β1 = 2.45
k2 = 0.000350, α2 = 2.10, β2 = 2.33.

Following this approach, to estimate the losses at a square wave excitation, we need to run Transient Magnetic analysis with a square wave source, and at the moment when the fluxes are at their maximums integrate the volume losses across the parts of our interest.
This may be easily implemented using Microsoft Excel and QuickField.

Results
Magnetic flux density distribution at t = 2.5 ms (maximal values).
core loss rectangular wave

Total core loss is 19 mW.
core loss square wave

References:
[1] Ferroxcube E19/8/5, E cores and accessories
[2] Testing Core Loss for Rectangular Waveforms, Phase II Final Report, 21 September 2011 by Charles R. Sullivan and John H.Harris; Thayer School of Engineering at Dartmouth.

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