A New Design of Divided Solenoid with High Homogeneity Based on Linear Programming.

A novel divided solenoid with high homogeneity is designed through linear programming (LP) for actual guiding magnet application in high power microwave devices. During the LP process, current density, magnetic field homogeneity, and total volume of coils are set as variable, constraint condition, and objective function, respectively. The divided solenoid is designed after calculating current density in the available zone where the coil current exists. After comparing the electrical parameters and magnetic field distribution of the conventional and the new solenoid, it is concluded that the inhomogeneity of the new design is reduced from 10% to 0.7%, the central magnetic field is equal, and other factors are in the same range. The divided solenoid magnet designed by LP is able to achieve high uniformity by improving the winding process and mechanical structure, which also has strong generalization.