Theory Behind Coil-Geometry Parameters for Fanselau/Braunbeck Magnet Coils
Technical Report,01 Apr 2016,31 Aug 2017
Naval Surface Warfare Center, Panama City Division Panama City United States
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The Naval Surface Warfare Center, Panama City Division Fanselau Magnetic Test Facility includes a large, three-axis, magnet coil system that provides a highly uniform magnetic field over a large spatial volume. Each axis consists of an arrangement of four circular coils aligned along a common axis, whose relative dimensions and spacing are optimized for field uniformity. The design of the coil arrangement is based on an analysis originally published by Gerhard Fanselau in 1929, and later improved by Werner Braunbeck in 1934. Since the Fanselau and Braunbeck journal articles were published in German, an examination of their theoretical analyses, along with some additional supporting material on electromagnetic theory to introduce the problem, are presented here for the convenience of the reader. The essence of their approach centers on expressing the magnetic scalar potential of the coil system as an infinite series and adjusting the coil diameters and spacing to zero-out the largest terms contributing to nonuniformity of the magnetic field.
- Electricity and Magnetism