Example3 Capacitances across Multiple Electrodes

General

  • In Exercise 1, the capacitor with two parallel conductive plates which have the potential difference was analyzed.
    In this Exercise, we analyze capacitor with 4 parallel conductive plates which have the potential difference.
     

  • 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

Solvers

Electric Field Analysis [Coulomb]

Analysis Type

Static analysis

Material Type

Dielectric material

Options

N/A

 

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

Tab

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

Four sheet bodies are used to imprint the voltage-specified 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

Settings

Electrode1/Face

Electric

Electric wall

Voltage specified, -1[V]

Electrode2/Face

Electric

Electric wall

Voltage specified, +1[V]

Electrode3/Face

Electric

Electric wall

Voltage specified, -1[V]

Electrode4/Face

Electric

Electric wall

Voltage specified, +1[V]

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 across Electrode1 and Electrode2 and across Electrode and Electrode4 are higher than others

 

The vectors of the electric field are shown below.

 

 

The electric field is generated between two electrodes.

 

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

 

 

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