
Problem type:
Plane problem of AC magnetics.
Geometry:
All length units are in millimeters
Given:
Core I permeability μ1  nonlinear*
Core E permeability μ2  nonlinear*
Core material density ρ = 7650 kg/m^{3},
Frequency f = 400 Hz.
Winding1 noload current 16.5 mA,
Winding1 number of turns 324.
Winding1 conductor crosssection 0.19 mm^{2}
Winding1 average turn length 111 mm.
Task:
Calculate the core losses in the noload 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 multiturn 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_{m}^{2} + k_{c}·f^{2}·B_{m}^{2} + 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.