Example3 Heating due to the Iron Loss

General

  • A coil is wound on a core. The heating due to the iron loss is analyzed.
     

  • The vectors of the magnetic field, the loss in the core, and the temperature distribution by the heating are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

Analysis Conditions

Item

Settings

Solver

Magnetic Field Analysis [Gauss]

Thermal Analysis [Watt]

Analysis Type

Magnetic field analysis: Harmonic analysis

Thermal analysis: Steady-state analysis

Options

N/A

The frequency of the current is set to 50[kHz].

Tabs

Setting Item

Settings

Mesh Tab

Frequency-Dependent Meshing

Reference frequency: 50×103[Hz]

Surface Treatment for Conductors: Generate skin meshes

Harmonic analysis

Frequency

Sweep Type: Single frequency

Frequency: 50×103[Hz]

Model

A coil is wound on a core.

The bodies of a core (Core) and a loop coil (Coil) are defined.

The automatically created ambient air is analyzed only in the magnetic field analysis, not in the thermal analysis.

 

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

5/Solid

Coil2

008_Cu *

7/Solid

Coil1

008_Cu *

6/Solid

Core

Core

* Available from the Material DB

 

Body attribute is set up as follows to apply current to the loop coil.

Body Attribute Name

Tab

Settings

Coil

Current

Waveform: AC

Current: 0.1[A]

Turns: 100[Turns]

Induced current: No setting

Direction: Loop Coil/Magnetic Field Direction

Direction Vector of Magnetic Field: X=0, Y=0, Z=1

 

The material properties of the core are set up as follows. The loss is defined in the iron loss table.

Material Name

Tab

Settings

Core

Permeability

Relative Permeability: 3000

Conductivity

Conductivity Type: Conductor

Conductivity: 0.1[S/m]

Thermal Conductivity

Thermal Conductivity: 10[W/m/deg]

Iron loss

Iron Loss Calculation Type: Iron loss table

 

Frequency: 5×104[Hz]

[Magnetic flux density-Loss density] Table *

Magnetic Flux Density [T]

Joule Loss Density [W/m^3]

50×10-3

5×103

500×10-3

500×103

 

* This is not the actual material’s property.

Press the Graph button. The following graph will show up.

Boundary Conditions

“Natural convection (automatic calculation)” is set on the outer boundary condition (surrounding the coil and core in the case of the thermal analysis).

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Outer Boundary Condition *

Thermal

Heat Transfer/Ambient Radiation

Natural convection (automatic calculation)

Ambient temperature: 25[deg]

To set Outer Boundary Condition, go to the [Model] tab

and click [Outer Boundary Condition] .

* The correction coefficient for the natural convection is calculated automatically. See [Heat Transfer/Ambient Radiation] for more information.

Results

To see the iron loss, go to the [Results] tab

 

 

 click [Table] .

 

The joule loss is shown below.

 

 

The iron loss is shown below.

 

The core’s iron loss is approximately 0.9[W].

The joule loss and the hysteresis loss of the core are not given because the the material property is defined on the iron loss table.

The loss characteristics are defined in the iron loss table. Only iron loss is obtained.

If it is defined by the iron loss experimental formula, the joule loss and the hysteresis loss will be output as well.

See [Loss Calculation in the Magnetic Field Analysis] for details of the loss.

 

 

The vectors of the magnetic flux density are shown below.

The flux density is looping through the core.

 

The iron loss density is shown below.

 

The temperature contour as a result of Watt is shown below.

The core temperature goes up to around 90[deg].