Electrodynamics - Time-domain

The electrodynamic solution describes the distribution of electric fields due to dynamically varying charges and/or levels of electric potential. This soluton allows time variations.


  • 2D, 3D or axisymmetric Solution, dynamic in time domain
  • Outputs, Plot 
    • Electric Fluxdensity
    • Electric Fieldstrength
    • Electric Potential (phi-Pot)
    • Current Density
    • Eddy Current Losses Density
  • Outputs, Table
    • Electrode Voltage, Current, Power
    • Circuit Voltage, Current, Power
    • Eddy Current Losses



Theory and Basics


The basis equations:
(1)           rot e = 0
(2)           div d = ρ
(3)           d = ε e

Constitutive relations:
(4)        j = σ e

Boundary conditions:
(5)        n x e  | Γ0e = 0
(6)        n * d  | Γ0d = 0

Electric scalar potential formulation:
(7)        div ε grad v = - ρ with 
(8)        e = -grad v

Electrodynamic weak v-formulation:
(9)        ( d/dt(-ε grad v), grad v’ )Ω + (σ grad v, grad v’ )Ωc = 0, 
                for all v’ element of Ω

Basic Example: x


Result: x



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