The magnetostatic solution describes the distribution of static magnetic fields due to permanent magnets and continuous currents.


  • 2D, 3D or axisymmetric Solution, static
  • coupled with Thermal solution possible
  • coupled with Elasticity solution possible
  • Outputs Plot
    • Magnetic Fluxdensity, Magnetic Fieldstrength
    • Current Density
    • Magnetic Potential (a-Pot)
    • Nodal Force - virtual, Nodal Moment - virtual, ,Forcedensity - virtual, Lorentz Force
  • Outputs Table
    • Total Force - virtual, Total Moment - virtual, Total Lorentz Force
    • RotorBand Torque - stresstensor, RotorBand Force - stresstensor
    • Electrode Voltage, Current, Power
    • Circuit Voltage, Current, Power
  • Outputs 4D Fields
    • Force - virtual, NodeID Table
    • Forcedensity - virtual, XYZ Table


Linear Shaft Motor Lavet Stepping Motor Servo Motor
Linear Shaft Motor

Theory and Basics


The basis equations:
(1)        rot h = j
(2)        div b = 0
(3)        b = µ h

Boundary conditions:
(4)        n x h  | Γh = 0
(5)        n * b  | Γe = 0

Vectorpotential a:               

(6)        b = rot a

Magnetostatic weak a-formulation:

(7)            ( µ-1 rot a, rot a’ )Ω
                + (-µ-1 bs, rot a’ ) Ω
                        + (- ja’ ) ΩC
                        = 0, for all a’ element of Ω

Basic Example: Team Problem 20: Static Force Analysis


This example is a test case for electromagnetic analysis software tools. There are measured results available that we will use for comparison of our results.

Point and Cylinder Example

Mesh of a quarter of the geometry.

Point and Cylinder Example


Fluxdensity and Force

The magnetic Fluxdensity result is displayed as contourplot.

Fluxdensity of TEAM20

or following as vectorplot

Fluxdensity of TEAM20

The force is calculated on each node.

The measured reference result for 3000 A is 8.1 N. In Magnetics for NX / Simcenter, using a standards mesh, the result is 8.2 N.

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