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

Features

• 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

Examples

Linear Shaft Motor	Lavet Stepping Motor	Servo Motor

Theory and Basics

Formulations

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

Boundary conditions:
(4)        n x h  | Γ_h = 0
(5)        n * b  | Γ_e = 0 

Vectorpotential a:               
(6)        b = rot a

Magnetostatic weak a-formulation:
(7)            ( µ^-1 rot a, rot a’ )_Ω
                + (-µ^-1 b_s, rot a’ ) _Ω
                        + (- j, a’ ) _ΩC
                        = 0, for all a’ element of Ω

Basic Example: Team Problem 20: Static Force Analysis

Video

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.