Air gapped magnetic core energy
QuickField simulation example
Magnetic core is made of a strip with a nanocrystalline structure of brand steel. Magnetic core applications: instrument current transformers, high-frequency power transformers, in signal transformers and inductors of communication systems.
Problem Type
Plane-parallel problem of AC magnetics.
Geometry
All dimensions are in mm.
Given
Core Z-depth Lz = 10 mm;
Gap length δ = 1.2 mm;
Winding cross-section area 8.5 cm²;
Total current I = 367 A-turns, frequency f = 6 kHz.
Task
Estimate the energy density in the functional gap of a split magnetic circuit
Solution
Having projected magnetic circuit onto the corresponding plane, problem can be solved as a flat 2D task of AC magnetic field.
Results
The coil creates magnetic flux with density of 0.34 T. This allows to store 5 mJ of magnetic energy. Average energy density in the air gap is 25 kJ/m³. The core losses are 4.8 W.
The color map of energy density distribution in the functional gap of a split magnetic core:
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