Twisted coil geometry in plasma confinement devices
Twisted coils, i.e., coils for which windings do not lie in a plane, are used widely in plasma confinement devices, especially those in the general class of stellerator-type devices. In the design of these devices ad hoc expressions for the positions of turns and the outer envelope of the windings are usually assumed. However, these expressions do not correctly represent the true shape taken by windings as successive turns and layers of turns are applied to a curved surface. In the present work, the techniques of differential geometry are used to determine the actual location of turns as they are wound on arbitrary surfaces. In the process, a set of natural winding coordinates is derived; the Biot Savart law for calculation of magnetic fields is expressed in terms of these natural coordinates. Next, the advantages of using a class of surfaces, called developables, for winding surfaces are discussed. A particular developable, called the rectifying developable, offers the additional advantages that the turns on it are geodesics and that wide flat conductors can be wound on it to minimize bending strains. Finally, the problem of windings with conductors of finite thickness is briefly discussed.
- Research Organization:
- Univ. of Wisconsin, Madison
- OSTI ID:
- 5830460
- Journal Information:
- J. Fusion Energy; (United States), Vol. 6:3
- Country of Publication:
- United States
- Language:
- English
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STELLARATORS
MATHEMATICAL MODELS
PLASMA CONFINEMENT
SUPERCONDUCTING MAGNETS
FABRICATION
GEOMETRY
BENDING
COORDINATES
GEODESICS
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC FIELDS
SCALARS
STRAINS
SUPERCONDUCTING WIRES
VECTORS
CLOSED PLASMA DEVICES
CONFINEMENT
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
EQUIPMENT
MAGNETS
MATHEMATICS
SUPERCONDUCTING DEVICES
TENSORS
THERMONUCLEAR DEVICES
WIRES
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