A comparative study of Loney’s solenoid by different techniques of global optimization

Article type: Research Article

Authors: Borghi, C.A.^{a; *} | Fabbri, M.^a | Di Barba, P.^b | Savini, A.^b

Affiliations: [a] Department of Electrical Engineering, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy | [b] Department of Electrical Engineering, University of Pavia, Via Abbiategrasso 209, 27100 Pavia, Italy

Correspondence: [*] Corresponding author. E-mail: ca.borghi@mail.ing.unibo.it

Abstract: The optimal shape design of Loney’s solenoid is carried out by different techniques of global optimization. The underlying inverse problem, which is numerically ill-conditioned with a gorge behavior, shows an outstanding potential as benchmark for magnetostatic inverse problems. In the paper four minimization methods have been compared: two of them are deterministic (Simplex and Quasi-Newton methods), two are stochastic (Evolution Strategy (1+1) formulation and Filled Function method combined with the Evolution Strategy method). The results have been discussed and compared.

DOI: 10.3233/JAE-1999-158

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 10, no. 5, pp. 417-423, 1999