A mathematical model of the reusable linear magnetic flux compressor

The reusable linear magnetic flux compressor not only can offer fairly high energy density and work repeatedly but also can be statically inert prior to firing. Therefore, it can de regarded as an ideal pulsed power supply fo r the electric gun. Based on theoretical studies of this magnetic flux compressor, a mathematic al model is developed and described in this paper. This model includes a 2- D Hydrodynamic treatment, armature motion, dynamic inductance, dynamic resi stance, flux loss, circuit quantities and I-D diffusion for the magnetic fi eld, current and temperature inside the conductors. In this model, the gas pressure, which depends on the propellant burn law, propellant mass, armatu re position and armature velocity, is modeled by 2-D homogeneous phase flui d-dynamic equations. The electromagnetic force, which depends on the curren t and the inductance gradient of the helical winding, is described by elect romagnetic parameter equations. The 2-D homogeneous phase fluid-dynamic equ ations are coupled with electromagnetic parameter equations through the arm ature motion equation. The simulation results show that the proposed model is helpful to the practical design.