Analytical results for the pulsed operation of high field constant stress coils

Based on the analytical expressions for the radial current density in coils optimised for constant stress, the implications for pulsed operation are discussed; the pulse duration, peak power and energy are determined. A cut-off on the current density, which peaks at the inside of the coil, limits the localised heating and increases the pulse duration at the expense of centre field or materials requirements. From the relation between strength, conductivity and cut-off level, optimal properties of construction materials are determined