Minimum stored energy (MSE)compact superconducting magnets

A globally optimum minimum stored energy optimisation strategy is used to obtain current density maps for actively shielded superconducting magnet configurations. The process of obtaining the current density maps proposed here over the given domain suggests that peak currents occur around the perimeter of the magnet domain, where in the most compact designs the adjacent peaks have alternating current directions in adjacent coils. The current density map is used as a foundation for the magnet configurations by placing coils on top of current density local extremities. The method encompasses the more traditional magnet designs, since as the dimensions of the magnet domain is increased, the current density map gives rise to positive current magnet configurations. Optimised current density maps along with optimised final magnet configurations are provided to illustrate the findings of this work. That is, to show the compactness of the possible designs and the amount of stored energy as a function of current.