Initialization by static calculation: operation
Static initialization
To avoid this problem of “numeric transient”, initial conditions of the « Initialization by static calculation » type can be taken into account with Flux. The goal of this option is to initialize a time computation in order to avoid transient phenomena with no physical meaning.
These calculation conditions are presented in the following blocks.
Conditions of calculation
The initialization by static calculation is characterized by particular calculation conditions for the first time step: conditions, which permit to annul all the terms in d/dt at the step t = 0 s.
These conditions are summed up in the table below.
Element of the device  Hypotheses / conditions of calculation at t = 0 s  

in the finite elements domain  in the electric circuit  
Solid conductor  Active (circuit coupling) 
skin effects, proximity effects are not taken into consideration (= non magnetic conducting regions) 
DC resistance (electric conduction resistance) 
passive (no circuit coupling) 
Induced currents are not taken into consideration (= non conducting magnetic region) 
  
Coil conductor 
Current in coil (=circuit current) 
resistance (of coil conductor) 
Element of the device  in the electric circuit  

Resistor 
Resistance (values of the Resistor component) 

Inductor 
Inductance replaced by a resistor with small resistance 

Capacitor 
with initial voltage Uc 
Capacitor replaced by a voltage source * (U = Uc) 
without initial voltage 
Capacitor replaced by an open circuit 
Example 1
Magnet placed at the center of the coil
Finite elements description:  Circuit description: 

Results without SI :  Results with SI : 

Example 2
Variable reluctance speed sensor as describe in the Generic Tutorial for Flux 3D
Finite elements description:  Circuit description: 

Results with and without SI: