An application of differential geometry to SSC magnet end winding

Technical Report · Sun Apr 01 00:00:00 EST 1990

DOI:https://doi.org/10.2172/7050536· OSTI ID:7050536

Cook, J M ^[1]

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1. Argonne National Lab., IL (USA)

It is expected that a large fraction of the total cost of the proposed Superconducting Supercollider will be spent on magnets, and, as Leon Lederman has remarked, most of the cost of making a magnet is in the ends.'' Among the mechanical problems to be solved there is the construction of an end-configuration for the superconducting cables which will minimize their strain energy. The purpose of this paper is to promote the use of differential geometry in this minimization. The use will be illustrated by a specific application to the winding of dipole ends. The cables are assumed to be clamped so firmly that their strain is not altered by Lorentz stresses. 15 refs.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 7050536
• Report Number(s): FNAL-TM-1663; ON: DE90013526; TRN: 90-021624
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
SUPERCONDUCTING COILS
BENDING
B CODES
DIFFERENTIAL GEOMETRY
MATHEMATICAL MODELS
SUPERCONDUCTING MAGNETS
SUPERCONDUCTING SUPER COLLIDER
WINDING MACHINES
COMPUTER CODES
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
EQUIPMENT
GEOMETRY
MAGNETS
MATHEMATICS
STORAGE RINGS
SUPERCONDUCTING DEVICES
430303* - Particle Accelerators- Experimental Facilities & Equipment