Estimation of the errors of conductor positioning in the LHC main magnets from a given multipole content

Author

Russenschuck, S. ; Tortschanoff, T.

Author_Institution

CERN, Geneva, Switzerland

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

2060

Lastpage

2063

Abstract

An inverse field problem is formulated from measurements of the multipole content of a superconducting dipole model magnet. Solving this problem by means of mathematical optimization methods leads to coil block displacements due to manufacturing tolerances. The optimization procedure consists only of an algorithm for finding the minimum value of an unconstrained objective function as there are no linear constraints to be considered. The displacements of the coil blocks found by the Levenberg-Marquard algorithm after about 1200 function evaluations applying the least squares objective function are shown

Keywords

beam handling equipment; electrical engineering computing; inverse problems; optimisation; physics computing; proton accelerators; storage rings; superconducting magnets; synchrotrons; LHC main magnets; Levenberg-Marquard algorithm; errors of conductor positioning; inverse field problem; least squares objective function; mathematical optimization; multipole content; superconducting dipole model magnet; unconstrained objective function; Conductors; Constraint optimization; Estimation error; Large Hadron Collider; Least squares methods; Magnetic field measurement; Manufacturing; Optimization methods; Superconducting coils; Superconducting magnets;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250816

Filename

250816