An integral equation for the design of magnetic field coils
Abstract
The use of the calculus of variations to design magnet coils that have a minimum stored energy was investigated. The problem of computing the winding density along a cylindrical surface that will minimize the stored energy, while at the same time produce a magnetic field with certain desired characteristics is considered. These desired characteristics are prescribed as constraints on various coefficients in the spherical harmonic expansion of the magnetic field. They are introduced into the minimization problem by the use of Lagrange multipliers.
 Publication:

In Army Research Office Proc. of the 1982 Army Numerical Anal. and Computers Conf. p 397414 (SEE N8314930 0559
 Pub Date:
 August 1982
 Bibcode:
 1982anac.conf..397S
 Keywords:

 Integral Equations;
 Lagrange Multipliers;
 Magnetic Coils;
 Magnetic Fields;
 Calculus Of Variations;
 Differential Equations;
 Energy Storage;
 Operations Research;
 Optimization;
 Electronics and Electrical Engineering