Example4 Floating Electrode’s Potential

General

  • There are 4 parallel-plate electrodes placed. The potentials of top and bottom electrodes are fixed.
    The 2 electrodes in between are floating.
     

  • The capacitances across the electrodes, the electric field, and the equipotential map 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

Select “Static analysis” as the potential is static.

Item

Settings

Solver

Electric Field Analysis [Coulomb]

Analysis Type

Static analysis

Material Type

Dielectric material

Options

N/A

 

The electric field exists outside the analysis region. Therefore the open boundary condition below is applied initially.

Tabs

Setting Item

Settings

Open Boundary Tab

Type

Absorbing boundary

Order of Absorbing Boundary

1st degree

Model

Create 4 sheet bodies for electrodes. Then, specify the voltage on each as boundary condition.

Body Attributes and Materials

Two sheet bodies are used to imprint the voltage-specified boundary condition.

The other two are used to imprint the floating electrode boundary condition.

They are called “imprinting body”.

You don’t need to set the body attribute or the material property on them.

Body Number/Type

Body Attribute Name

Material Name

1/Sheet

Imprinting body

 

2/Sheet

Imprinting body

 

3/Sheet

Imprinting body

 

4/Sheet

Imprinting body

 

* Available from the Material DB

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Specifications

Electrode1/Face

Electric

Electric wall

Voltage specified, -1[V]

Electrode2/Face

Electric

Electric wall

Voltage specified, +1[V]

Floating1/Face

Electric

Electric wall

Floating Electrode

Floating2/Face

Electric

Electric wall

Floating Electrode

Outer Boundary Condition *

Electric

Open boundary

 

 

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


 

and click [Outer Boundary Condition] .

 

Results

To view the calculation results, go to the [Results] tab

 

 

 click [Table] .

 

The capacitances of floating electrodes are as follows.

 

 

The capacitances of fixed electrodes are as follows.

 

 

The vectors of the electric field are shown below.

 

 

 

The gradation contour of the voltage on the XZ section is shown below.

 

 

You can visually grasp the distributed voltage in the space around the electrodes.