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Home / Examples / Magnetic Analysis (Gauss, Static Analysis/Harmonic analysis) / Example 33: Coil-to-Coil Power Transfer

Example 33: Coil-to-Coil Power Transfer

General

  • The power is transfered from the primary coil to the secondary coil.
     

  • The magnetic field vectors and the electromotive force in the secondary coil are solved.
    If you want to solve the transfer power [W], use the electromagnetic analysis [Hertz]. ([Example 28: Coil-to-Coil Power Transfer])
     

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

  • Obtain this session's project file. (Right-click and choose 'Save link as')


  • Results will vary depending on Femtet version and the PC environment.

 

Analysis Space

Item

Settings

Analysis Space

3D

Model Unit

mm

 

Analysis Conditions

Item

Settings

Solver

Magnetic Analysis [Gauss]

Analysis Type

Harmonic Analysis

Options

N/A

 

The frequency of the current is set to 30[kHz].

Tab

Setting Item

Settings

Mesh Tab

Frequency-Dependent Meshing

Reference Frequency: 30x103 [Hz]

Harmonic Analysis

Sweep Type

Single Frequency

Frequency

30×103 [Hz]

 

Set the Mesh Tab as follows.

Tab

Setting Item

Setting

Mesh Tab

Meshing Setup

Automatically set the general mesh size: Deselect

General Mesh Size: 2 [mm]

Model

Two coils (Coil1 and Coil2) are placed.

Its inflow/outflow faces if the primary coil (Coil1) are extended to the outside of the air domain. They contact the electric wall of outer boundary condition.

In the magnetic field harmonic analysis, inflow/outflow faces must be outside of the air domain. (for the purpose of calculation with FEM)

In this example, air domain is set to be created automatically. Therefore, the inflow/outflow faces are extended to the outside of air domain.

 

 

Secondary coil (Coil2) is terminated with R having sufficient resistance value to measure the electromotive force.

If the boundary condition of integral path is set along the current path, the electromotive force can be calculated by integrating the electric field (current density*resistance) on the integral path.

Basically, the body R is not needed when setting the integral path along the current path of the loop coil. However, the current density is not constant at the cross section of the coil and calculation cannot be done accurately.

By adding the body R having resistance high enough compared to the coil,

the majority of the electric potential difference is generated across the body R, and the current density at the cross section of the body R is almost constant. So the calculation will be accurate.

 

Body Number/Type

Body Attribute Name

Material Name

4/Solid

Coil1

008_Cu *

11/Solid

Coil2

008_Cu *

9/Solid

R

008_Cu *

* Available from the material DB

 

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

The setting of the secondary coil is not needed as the current is not applied.

Body Attribute Name

Tab

Settings

Coil1

Current

Waveform: AC

Current: 1 [A]

Turns: 1 [Turns]

Direction: Specify Inflow/Outflow faces

Select Inflow Face and Outflow Face.

 

The electric conductivity of the body R is set low enough compared to the coil as follows.

Material Name

Tab

Settings

R

Conductor Wall

Conductivity Type: Conductor

Conductivity: 1 [S/m]

Boundary Conditions

No setting.

Results

To see the electromotive force, go to the [Results] tab

 

 

 and click [Show Numerical Summary Table] .

 

 

The absolute value is the amplitude of the electromotive force.

About 0.00927 [V] is generated in the secondary coil when 1 [A] is applied in the primary coil.

 

The electromotive Ve.m. of the secondary coil is expressed as follows.

         Ve.m. = jωM I1

As the frequency is 30 kHz, the mutual inductance is 0.491 nH (the results of [Mutual inductance calculation project]), and the amplitude of current I1 at Coil1 is 1 A,
the amplitude |Ve.m| of the electromotive force of the secondary coil is given as 0.00925 V. This matches with the calculated result very well.

 

 

 

The vectors of the magnetic field are shown below.