An optimal design method for multi-section superconducting magnets

The authors propose a novel optimal design method to realize the minimum volume design for multi-section superconducting magnets by using the augmented Lagrangian multiplier method (ALMM). The ALMM is a superior method for solving the constrained nonlinear programming problem. The details of the algorithm and several examples of its application are shown. The technique described allows the designer to arrive quickly at acceptable designs, without tedious trial-and-error in parameter changes. It is useful for designing magnets, because the cost is fairly reasonable