Magnet excitation for a proton accelerator

The power required by magnet excitation, and the requirements of the particle accelerating system of a particle accelerator, are affected by the time variation of the magnet voltage e1 with time. The design of a particle accelerator necessitates the calculations of i, e1 i, di/dt, B, dB/dt, etc., under different assumptions for the shape of e1 as a function of time. This paper outlines two methods, applicable respectively to long-hand and computer calculations, which, in addition to the time variation of e1, permit taking into consideration the variation of the incremental inductance Ls with saturation. From the discussion it will be apparent that any desired degree of accuracy can be attained.