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Main >> Applications >> Sample problems

Transformer model 2D vs. 3D - QuickField simulation example

Example courtesy of Sergey Chishko

Magnetic flux through a transformer leg in front and side two-dimensional views, estimating the significance of coil-end effects omitted by a 2D model.

Engineering question

How to calculate the significance of coil-end effects in a 2D transformer model?

Answer
Compare front- and side-view 2D models; the side-view coil ends contribute only 1.7% of total leg flux and can usually be neglected.

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Typical applications
power transformers, laminated core transformers, transformer limb sections

Transformer model 2D vs. 3D

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Simulation problem

Problem Type
Plane-parallel problem of DC magnetics.

Geometry
Transformer model 2D vs. 3D Magnetic flux through a transformer leg in front and side two-dimensional views, estimating the significance of coil-end effects omitted by a 2D model. Front view Side view Core 10 mm 10 mm 20 mm 10 mm 30 mm

Given
Core relative permeability 1000;
Coil conducts current I = 5 A.

Task
Obtain and compare the values of magnetic flux over the cross section of a transformer leg holding the coil for transformer's front and side view problems sets.

Solution
To study the impact of end effects on the total magnetic flux in the transformer two models are simulated: front view and side view.
Front-view model (2D) considers only a part of a coil with a current direction "in" and "out" of the plane and neglecting end effects of "front" and "end" coil parts with currents flowing along the plane. Side-view (2D) model considers only "front" and "end" coil parts.
Both models features the same number of turns of the coil and the current.

Results
Front-view model magnetic flux is 77.7 uWb (98.3%).
Side-view model magnetic flux is 1.3 uWb (1.7%).
Coil end parts produce only 1.7% of the total magnetic flux and could be neglected in most cases.

Magnetic flux in cross sections of the transformer in front and side models:
Transformer magnetic flux 2D vs. 3D

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