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 be regarded as an ideal pulsed power supply for the electric gun. Based on theoretical studies of this magnetic flux compressor, a mathematical model is developed and described in this paper. This model includes a 2-D hydrodynamic treatment, armature motion, dynamic inductance, dynamic resistance, flux loss, circuit quantities and 1-D diffusion for the magnetic field, current and temperature inside the conductors. In this model, the gas pressure, which depends on the propellant burn law, propellant mass, armature position and armature velocity, is modeled by 2-D homogeneous phase fluid-dynamic equations. The electromagnetic force, which depends on the current and the inductance gradient of the helical winding, is described by electromagnetic parameter equations. The 2-D homogeneous phase fluid-dynamic equations are coupled with electromagnetic parameter equations through the armature motion equation. The simulation results show that the proposed model is helpful to the practical design.