Example1 Deformation due to the Heating Caused by Applied Current

General

This is an example of the magnetic field-thermal-mechanical stress analysis.
The joule loss due to the applied current and the resulting heating are solved by magnetic field-thermal coupled analysis.
It is followed by the mechanical stress analysis. The deformation due to the temperature rise is examined.
The vectors of the magnetic field, the temperature distribution by the heating, and the deformation 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] Mechanical Stress Analysis [Galileo]
Analysis Type	Magnetic field analysis: Static analysis Thermal analysis: Steady-state analysis Mechanical stress analysis: Static analysis
Options	None *

* “Thermal Load” is selected by default for the thermal load-mechanical stress coupled analysis.

The Step/Thermal Load tab is set as follows.

Tabs	Setting Item	Settings
Step/Thermal load	Reference temperature	25[deg]

* The reached temperatures come from the thermal analysis.

Set the Mesh Tab as follows.

Tab

Setting Item

Settings

Mesh

Meshing Setup

Automatically set the general mesh size: Deselect

General mesh size: 2[mm]

Model

A helical solid body Coil (coil) is defined.

Body Attributes and Materials

Body Number/Type	Body Attribute Name	Material Name
0/Solid	Coil	008_Cu *

* Available from the Material DB

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

Body Attribute Name

Tab

Settings

Coil

Current

Waveform: Constant

Current: 100[A]

Turns: 1[Turns]

Direction: Specify Inflow/Outflow Faces (In the Air Box):

Select inflow face and outflow face.

Boundary Conditions

The displacement at both ends of the coil is fixed.

“Natural convection (automatic calculation)” is set on the outer boundary condition surrounding the coil.

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]

* The outer boundary condition is set at Outer Boundary on the menu bar.

Results

The vectors of the magnetic field are shown below.

The vectors of the current density are shown below.

The current is flowing as set for the coil.

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

The coil temperature goes up as high as 130[deg].

The vectors of displacement as a result of Galileo are shown below. The contour diagram shows the displacement.

The coil is swelled due to the temperature rise.