Example1 Heating of Conductive Strip (Steady-State Analysis)

General

  • Voltage is applied across a conductive strip line. The current going through the strip line is solved.
    Then the eventual joule loss and temperature rise are solved.
     

  • The distributions of current and temperature are viewed.
     

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

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

Analysis Conditions

Select “Electric field-thermal coupled [Curie]” as solver.

This is a steady-state analysis.

Item

Settings

Solvers

Electric field – thermal coupled analysis [Curie}

Analysis Type

Steady-state analysis

Model

The substrate is a solid body.
The strip line is a sheet body.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

Board

001_Alumina *

6/Sheet

Strip

008_Cu *

* Available from the Material DB

 

It is assumed that there is no current flow in the alumina substrate.

The conductive strip is a sheet body. The thickness must be defined in the body attribute, where the resistance can be entered too.

Body Attribute Name

Thickness/Width

Analysis Domain

Board

 

Usable Domains: Deselect “For use in electric field analysis”

StripLine

Thickness of Sheet Body : 0.1mm

 

 

Resistivity needs to be set for Board for [Curie] even though it is not used.
The resistivity is blank for 001_Alumina by default.

Enter 1.0 there tentatively. (The value doesn’t affect the simulation)

Material Name

Resistivity

001_Alumina

1.0[Ωm]

Boundary Conditions

  • The temperature of the bottom face of the substrate is set to 25[deg] by the boundary condition of T0.

  • The faces where the strip line ends are set with the “adiabatic” boundary condition, T_Wall.
    That keeps the outer boundary condition from being applied on them.

  • Boundary conditions, V0 and V1, define the voltages at the ends of strip line.

  • The heat transfer to the ambient is defined by the outer boundary condition.

 

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

T_Wall/Face

Thermal

Adiabatic

 

T0/Face

Thermal

Temperature

25[deg]

V0/Edge

Electric

Electric wall

Waveform: Constant, Voltage: 0.00[V]

V1/Edge

Electric

Electric wall

Waveform: Constant, Voltage: 0.01[V]

Outer Boundary Condition *

Thermal

Heat Transfer/Ambient Radiation

Heat transfer coefficient: 10 [W/m2/deg]

Ambient temperature: 25[deg]

 

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


 

and click [Outer Boundary Condition] .

 

Results

The vectors of the current density are shown below.

The current density is not even at around the bending area of the strip.

 

The temperature contour is shown below.