Analytic solutions for constant tension coil shapes

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An analytical solution of the differential equation describing the shape of a flexible filamentary conductor (incapable of supporting bending stresses) in a toroidal magnetic field has been obtained. The solution derives from a series expansion of modified Bessel functions of integer order. The characteristics of toroidal field magnets for proposed tokamak devices are obtainable by term by term integration of the solution series. General expressions are given for the following coil characteristics: the conductor turn length, the solenoid inductance, the area enclosed by the coil and the coil support dimensions. For several particular cases of interest these coil characteristics are ... continued below

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Pages: 30

Creation Information

Gralnick, S.L. & Tenney, F.H. January 1, 1976.

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Description

An analytical solution of the differential equation describing the shape of a flexible filamentary conductor (incapable of supporting bending stresses) in a toroidal magnetic field has been obtained. The solution derives from a series expansion of modified Bessel functions of integer order. The characteristics of toroidal field magnets for proposed tokamak devices are obtainable by term by term integration of the solution series. General expressions are given for the following coil characteristics: the conductor turn length, the solenoid inductance, the area enclosed by the coil and the coil support dimensions. For several particular cases of interest these coil characteristics are obtained as closed form analytical formula. (auth)

Physical Description

Pages: 30

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Dep. NTIS

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  • Other Information: Orig. Receipt Date: 30-JUN-76

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  • Report No.: MATT--1197
  • Grant Number: E(11-1)-3073
  • DOI: 10.2172/4096514 | External Link
  • Office of Scientific & Technical Information Report Number: 4096514
  • Archival Resource Key: ark:/67531/metadc864196

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  • January 1, 1976

Added to The UNT Digital Library

  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 27, 2016, 7:32 p.m.

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Gralnick, S.L. & Tenney, F.H. Analytic solutions for constant tension coil shapes, report, January 1, 1976; New Jersey. (digital.library.unt.edu/ark:/67531/metadc864196/: accessed September 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.