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Main >> Applications >> Sample problems

Slab induction heating power - QuickField simulation example

Joule-heating power distribution in a preheated steel slab placed inside an induction-heating coil under the specified high-frequency excitation.
We are grateful to Selit S.R.L. for providing us with the idea of this model.

Engineering question

How to find joule heating power in slab induction heater?

Answer
Solve the AC-magnetic field with the temperature-dependent steel conductivity and integrate the induced Joule losses to obtain the heating-power distribution across the slab.

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Typical applications
slab induction heating systems, longitudinal flux heaters, steel strip heaters

Slab induction heating power

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Simulation problem

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
Slab width in z-direction is 1200 mm.
Slab induction heating power Joule-heating power distribution in a preheated steel slab placed inside an induction-heating coil under the specified high-frequency excitation. Steel slab Inductor Insulation +900 °C 600 mm 120 mm 100 mm 50 50 Ø 30 mm 1200 mm

Given
Coil current 12.5 kA (r.m.s), frequency 150 Hz,
Relative permeability of steel μ = 1 at the temperature above 760°C.
Electrical resistivity value depends on the temperature.

Task
Calculate the Joule heating power distribution in the steel slab.

Solution
In QuickField we specify the electrical conductivity, which is reciprocal to the resistivity.
We do not know the actual temperature distribution, so as an initial approximation we consider the temperature to be 900°C in all parts of the slab.

Results

Joule heating power distribution in the slab layers. Total power is 1 MW.
Joule heating power distribution in the slab layers

We approximate the power distribution in the layers with the rectangular pulses. These pulse magnitudes are listed in the table below and are used for the further thermal analysis.

Average heat power in the slab layers
#r, mmQ, W/cm³
055.. 6034.0
150.. 5527.3
240.. 5019.4
330.. 4011.4
420.. 305.8
510.. 202.1
60.. 100.29

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