Laminated iron core losses

Problem type:
Plane problem of AC magnetics.

Geometry:

Given:
Core I permeability μ1 - nonlinear*
Core E permeability μ2 - nonlinear*
Core material density ρ = 7650 kg/m³,
Frequency f = 400 Hz.
Winding1 no-load current 16.5 mA,
Winding1 number of turns 324.
Winding1 conductor cross-section 0.19 mm²
Winding1 average turn length 111 mm.

Task:
Calculate the core losses in the no-load mode of transformer.

Solution:
In no load mode the secondary winding is in open circuit state. There is current only in the primary winding. The primiry winding is modelled as multi-turn winding - the average current density is specified.

Core is laminated, zero conductivity is specified. Core losses are calculated using Bertotti equation:
p_v = k_h·f·B_m² + k_c·f²·B_m² + k_e·(f·B_m)^3/2
Coefficients k_h, k_c, k_e are calculated as a result of the curve fitting.

Results:
Core E magnetic loss is 0.87 W.
Core I magnetic loss is 0.12 W.
Flux density distribution in the core:

References:
*Core loss and magnetization curves are provided by Arnold Magnetics.

See the laminated_core_iron_loss.pbm problem in the Examples folder.