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Main >> Applications >> Sample problems

Stranded wire - QuickField simulation example

The wire consists of many insulated transposed strands.

Engineering question

How to find losses in stranded wire conductor?

Answer
Set up an axisymmetric QuickField AC Magnetics problem for a stranded wire conductor and evaluate losses from computed field results.

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Typical applications
stranded conductors, litz wire windings, high-frequency conductors

Stranded wire

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Simulation problem

Problem Type
Axisymmetric problem of AC magnetics.

Geometry
Stranded wire The wire consists of 277 insulated transposed strands. Core Stranded wire Ø 40 mm 277 strands

Given
Core relative permeability μ = 500,
Copper conductivity g = 56 MS/m,
Current I = 1 A (magnitude), frequency f=50 kHz.
Wire cross-section area S=0.1112 mm², number of strands w=277

Task
Calculate Joule losses in the stranded wire winding.

Solution
As the wire strands are transposed, each one carries the same current. To force this condition upon strands the same label is assigned to them. In label properties "connected in series" flag is switched on and the current value 1/w of total conductor current is specified for the strand.
Interwoven stranded wire features 2% greater length comparing to straight wire. We take this into account by increasing electric resistivity.
We will simulate only center section of the long solenoid.

Results
Current density distribution in the stranded wire.
stranded wire eddy current

* Reference: Wikipedia : Stranded wire

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