S. Noguchi et A. Ishiyama, AN OPTIMAL-DESIGN METHOD FOR HIGH-FIELD SUPERCONDUCTING MAGNETS WITH FERROMAGNETIC SHIELDS, IEEE transactions on applied superconductivity, 7(2), 1997, pp. 439-442
This paper describes an optimal design method for high-field and highl
y homogeneous superconducting magnet systems with hybrid iron and acti
ve shielding. The presented design technique is a combination of the e
quivalent magnetization current method for the computation of the magn
etic field problem, which includes nonlinear and saturated iron, and t
he simulated annealing for solving the corresponding optimization prob
lem. The equivalent magnetization current method is superior in estima
ting the field homogeneity at the center of the magnet systems. By usi
ng the simulated annealing, the positions of each coil are optimized a
s continuous design variables, while the number of turns and layers of
the coil windings are treated as discrete design variables. In this p
aper, the detail of the algorithm and the example of its application t
o 9-tesla magnet system with hybrid iron and active shield are shown.