Direct optimization of the winding process for superconducting solenoid magnets (linear programming approach)

In order to reduce conductor motion during the charging of anadiabatically stable superconducting magnet, tension is applied to the conductor during the winding process. However, excessive winding tension may cause circumferential compression sufficient to buckle the innermost conductor layers. This can be minimized by a method of winding optimization based on linear programming. Such a method is discussed in this paper. It eliminates excessive circumferential compressive stresses in the innermost conductors of a solenoid magnet, at the same time keeping the cumulative radial and circumferential stresses in the winding within acceptable limits.