RF cavity design exploiting a new derivative-free trust region optimization approach


In this article, a novel derivative-free (DF) surrogate-based trust region optimization approach is proposed. In the proposed approach, quadratic surrogate models are constructed and successively updated. The generated surrogate model is then optimized instead of the underlined objective function over trust regions. Truncated conjugate gradients are employed to find the optimal point within each trust region. The approach constructs the initial quadratic surrogate model using few data points of order O(n), where n is the number of design variables. The proposed approach adopts weighted least squares fitting for updating the surrogate model instead of interpolation which is commonly used in DF optimization. This makes the approach more suitable for stochastic optimization and for functions subject to numerical error. The weights are assigned to give more emphasis to points close to the current center point. The accuracy and efficiency of the proposed approach are demonstrated by applying it to a set of classical bench-mark test problems. It is also employed to find the optimal design of RF cavity linear accelerator with a comparison analysis with a recent optimization technique.

DOI: 10.1016/j.jare.2014.08.009

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Showing 1-10 of 33 references

SUPERFISH-A computer program for evaluation of RF cavities with cylindrical symmetry

  • K Halbach, Rf Holsinger
  • 1976
Highly Influential
3 Excerpts

A new approach for surrogate-based trust region optimization with applications in optimal system design

  • Ae Elqenawy
  • 2013
1 Excerpt

A new hybrid method for optimal circuit design using semi-definite programming

  • Aso Hassan, A Abdel-Naby
  • 2012

Statistical microwave circuit optimization via a non-derivative trust region approach and space mapping surrogates. IEEE MTT-S international microwave symposium digest

  • Aso Hassan, Asa Mohamed, Ay El-Sharabasy
  • 2011
1 Excerpt

Status of the mechanical design of the 650 MHz cavities for project X

  • S Barbanotti, C Grimm, M Champion, M Foley, Cm Ginsburg, I Gonin
  • 2011
1 Excerpt

RF Design and characterization of indus-1 RF cavity

  • M Prasad, D Mishra, Ps Bagdual, Pr Hannurkar
  • 2009
1 Excerpt

Analog design centering and sizing

  • H Graeb
  • 2007
1 Excerpt

Design and development of 30 MeV 3KW, RF electron linac. In: Asian particle accelerator conference

  • Vt Nimje, D Bhattacharjee, K Dixit, D Jayaprakash, Kc Mittal, Ak Ray
  • 2007