FEM Équation magnétodynamique 2D

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FEM EquationMagnetodynamic2D

Menu location
Solve → Electromagnetic Equations → Magnetodynamic2D equation
Workbenches
FEM
Default shortcut
None
Introduced in version
1.0
See also
Magnetodynamic equation

This equation performs analyses using a 2D version of the Maxwell's equations when the unknown is the z-component (or φ-component).

For info about the math of the equation, see the Elmer models manual, section Computation of Magnetic Fields in 2D.

For more general analyses in 3D using the Maxwell's equations FreeCAD supports Elmer's Magnetodynamic equation. Nevertheless, if it is possible to perform the analysis in 2D, this is recommended since the math behind this is then more simple and the calculation time is therefore faster.

Usage

  1. After adding an Elmer solver as described here, select it in the tree view.
  2. Now either use the toolbar button or the menu Solve → Electromagnetic Equations → Magnetodynamic2D equation.
  3. Change the equation's solver settings or the general solver settings if necessary.

Solver Settings

For the general solver settings, see the Elmer solver settings.

The magnetodynamic 2D equation provides these special settings:

  • DonnéesAngular Frequency: The harmonic actuation frequency. It only used if DonnéesIs Harmonic is set to true.
  • DonnéesCalculate Current Density: Calculates the current density.
  • DonnéesCalculate Electric Field: Calculates the Electric vector field.
  • DonnéesCalculate Elemental Fields: Calculates the electromagnetic fields for every mesh element. This is useful to see discontinuities in meshes.
    Note: at the moment FreeCAD cannot display these results properly. Therefore it is at the moment of no practical use.
  • DonnéesCalculate Harmonic Loss: Calculates the linear and quadratic harmonic power loss. See the Elmer models manual, section Loss Estimation Using the Fourier Series for details
  • DonnéesCalculate Joule Heating: Calculates the Joule heating.
  • DonnéesCalculate Magnetic Strength: Calculates the Magnetic field strength.
  • DonnéesCalculate Maxwell Stress: Calculates the Maxwell stress tensor field.
  • DonnéesCalculate Nodal Fields: Calculates the fields for every mesh node. The default is true. If no other DonnéesCalculate * is set to true, it only calculates the magnetic flux density.
  • DonnéesCalculate Nodal Forces: Calculates the forces for every mesh node. The results can be used for further mechanical analysis.
  • DonnéesCalculate Nodal Heating: Calculates the Joule heating scalar field for every mesh node.
  • DonnéesIs Harmonic: If the driving force is harmonically actuated (AC current). If set to true, DonnéesAngular Frequency must have a value > 0.

Constraint Information

The magnetodynamic 2D equation takes the following constraints into account if they are set:

Results

The available results depend on the solver settings. If none of the DonnéesCalculate * settings was set to true, only the electric electric potential (called av in the results) is calculated. Otherwise also the corresponding results will be available.

The possible results are:

  • Current density in
  • Electric field vector values in
  • Harmonic power loss in
  • Magnetic flux density in
  • Maxwell stress tensor values in
  • Magnetic field strength in
  • Nodal force in
  • Joule heating in
  • Potential in