Journal
IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY
Volume 15, Issue 2, Pages 1439-1443Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TASC.2005.849119
Keywords
bitter disk; bitter magnet; dipole magnet for accelerator; hybrid magnet; superconducting solenoid; tilted coil; transverse uniform magnetic field
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Mathematical foundation is laid for a relatively new type of magnets generating uniform transverse magnetic field-tilted coil magnets. These consist of concentric nested coils with elliptical turns tilted at a certain angle to the central axis and current flowing in opposite directions in the coils tilted at opposite angles, generating a perfectly uniform transverse field. Both superconducting wire-wound and resistive Bitter tilted coils are discussed. An original analytical method is used to prove that the wire-wound tilted coils have the ideal distribution of the axial current density-cosine-theta. To program coil fabrication tooling, a parametric description of the helical path of the conductor within a tilted coil is given. Magnetic fields are calculated for a tilted Bitter coil magnet using an original exact solution for current density in an elliptical Bitter disk.
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