Example34 Electromotive Force of NFC Coil

General

  • An NFC coil is placed in AC magnetic field.
    The electromotive force is generated by the current induced in the coil.
     

  • Integral path is required to be set in the electric circuit.
     

  • The electromotive force, the magnetic field vectors and the magnetic flux density 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

Solvers

Magnetic Field Analysis [Gauss]

Analysis Type

Harmonic analysis

Options

N/A

The frequency is set to 13.56[Hz] on the harmonic analysis tab.

The external magnetic field is directing the positive Z direction.

Thus, the external magnetic field is set to be AC with the frequency of 13.56[Hz].

Tab

Setting Item

Settings

Mesh Tab

Frequency-Dependent Meshing

Reference frequency: 13.56×10^6[Hz]

Harmonic analysis

Sweep Type

Single frequency

Frequency

13.56×10^6[Hz]

External magnetic field

External magnetic field

X=0, Y=0, Z=1[A/m]

Model

An NFC coil (Coil) is defined.

The coil size is 72[mm] x 42[mm].

 

 

Coil is terminated with a body R having sufficient resistance 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 section of the coil and calculation cannot be done accurately.

By adding the body R having resistance high enough,

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

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

6/Solid

Coil

008_Cu *

5/Solid

R

R

* Available from the Material DB

It is assumed that the induced current flows in Coil in this exercise.
Therefore no settings are required for the Current tab of the body attribute and I/O port boundary condition.

 

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

Integral path is set in the current path of the body R in order to calculate the electromotive force.

The outer boundary condition is magnetic wall in this exercise.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Integral/Face

Electric

Integral path

 

Outer Boundary Condition

Electric

Magnetic wall

 

Results

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

 

 

 click [Table] .

 

 

The absolute value is the amplitude of the electromotive force.

About 0.335[V] is generated.

 

It is pretty close to the theoretical value: V=jωSB=j*2*π*13.56*10^6*0.072*0.042*1*μ0=j0.324[V].

 

 

The vectors of current density are shown below.

 

 

The magnetic field sectioned at YZ plane is shown below.

The magnetic field is created as set in the direction tab.