Optimization of the winding volume of superconducting cylindrical coils

The relatively high conductor costs for superconducting coils can often be reduced by volume-optimized winding. Formulas are derived and discussed by an example which allow an optimized design of solenoid coils without large auxiliary means. The slope of the current-flux density limiting curve of the superconductor and the dependence of the maximum flux density in the coil package on its cross-sectional shape are taken into account. Possibly an easy improvement of the required field homogeneity can be achieved. The dimensioning curves obtained may also be applied to coils with varying closeness in winding if a mean value of the different winding densities is taken. (orig.)