In a large number of engineering applications, the optimization of magnets’ shape is required. Unfortunately, due to the complexity of the geometries involved, the computing burden can be too high, making the task unfeasible. Here, a shape optimization model is proposed, based on the discretization of the research domain; in this way, the optimization task is reduced to the search for of the optimal shape among all the possible compositions of elementary shapes in the research domain. The proposed technique gives a strong reduction of the computing burden whereas preserving the accuracy needed.
SarmaP.R.IbomchaN. and BhandariR.K., Coil shape optimization in superconducting dipole magnets, in: Proceedings of the Seventeenth International Conference on Cyclotrons and Their Applications37(3) (2005).
2.
AmbrisiA.FormisanoA. and MartoneR., Robust design of NMR magnet through worst case analysis, International Journal of Applied Electromagnetics and Mechanics37 (2011), 101–107.
3.
ShouG.XiaL.LiuF.ZhuM.LiY. and CrozierS., MRI coil design using boundary-element method with regularization technique: A numerical calculation study, IEEE Transactions on Magnetics46(4) (2010), 1052–1059.
4.
NiZ.HuG.LiL.YuG.WangQ. and YanL., Globally optimal algorithm for design of 0.7 T actively shielded whole-body open MRI superconducting magnet system, IEEE Transactions on Applied Superconductivity23(3) (2013), #4401104.
5.
GriegerG. et al., Physics optimization of stellarators, Physics of Fluids B: Plasma Physics4(7) (1992), 2081–2091.
6.
ChiarielloA.G.FormisanoA.LeddaF.MartoneR. and PizzoF., Effectiveness in 3D magnetic field evaluation of complex magnets, IEEE Trans. Magn.51(3) (2015), #7001804.
7.
ChiarielloA.G.FormisanoA.MartoneR. and PizzoF., Gradient-based Worst Case Search Algorithm for Robust Optimization, IEEE Trans. Magn.51(3) (2015), #7205004.
8.
ChiarielloA.G.FormisanoA.LeddaF.MartoneR. and PizzoF., A Derivatives Splitting Approach to Sensitivity Analysis of Magnets Design, IEEE Trans. Magn.52(3) (2016), #7002304.
9.
RamogidaG. et al., Active toroidal field ripple compensation and MHD feedback control coils in FAST, Fusion Engineering and Design88(6–8) (2013), 1156–1160.
