A Theorem On The Dependence Of Hm On Gain In A Magnetic Pulse Compressor, And Its Implications On The Core Volume Formula

Abstract

It is known that the volume of core required for a magnetic pulse compressor (MPC) of given gain y is proportional to 9 and to pr,80f, the relative permeability at saturation. The latter is empirically found to be 2-5. We are interested in obtaining low values for pr,sat, in order to decrease the core volume. pr,sat is clearly related to H,, the amplitude of the magnetizing field in the core. The article investigates the dependence of H, and pr,sat on the other parameters of the MPC. It is shown that H, and depend on the gain y, and are independent of N, the number of turns. More precisely, H, is a decreasing function of y, and pr,sat an increasing one. The exact form of these functions depend on the form of the function p,. = g(H). Several functions g are investigated, including one based on measured data. The conclusion is, that the amount of core volume increases faster with y, than is predicted by the 9 factor in the classical volume formula.