Magnetic field simulation from a voltage source

A finite-element program has been developed to digitally simulate the dynamic response of solenoids to a specified voltage trace. The evolution of the magnetic field is modeled complete with eddy currents and saturation effects. The motion of the solenoid´s plunger in response to mechanical and magnetic forces is incorporated into the solution for the magnetic field. Moreover, these effects are coupled with the electrical driving circuit whose inductance is unknown (and varying).