Magnetostatic 2D/3D Solution

Outputs: Plot Magnetic Fluxdensity Magnetic Fieldstrength Current Density Vectorpotential  Nodal Force Temperature
Outputs: Table Total Force, Moment RotorBand Torque, Force Electrode Charge Fluxlinkage Voltage,Current 4D Fields NVH Coupling
Solver Couplings Thermal Structural


Linear Shaft Motor

Lavet Stepping Motor

Servo Motor    


Magnetostatic Analysis

The magnetostatic solutions describe the distribution of static magnetic fields due to magnets and continuous currents. 

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 Fluxdensity result is displayed as contourplot.

Fluxdensity of TEAM20

or as vectorplot

Fluxdensity of TEAM20

The force is calculated on every node.

Force Results of TEAM20

The measured reference result for 3000 A is 8,1 N. In Magnetics for NX, using a standards mesh, the result is 8,2 N,