Magnetic field calculation for ideal conductors by method of equivalent currents
Abstract
The magnetic field of an array of N coaxial conductors carrying direct current, a planemeridional magnetic field, is calculated by the method of equivalent currents. In accordance with the fundamental equation of field force lines enveloping all conductors, the problem is formulated as one of determining the magnitude and the distribution of currents which will satisfy that equation on the contour of an axial conductor section. The procedure involves superposing the magnetic fields of all individual conductors. The magnetic vector potential in that equation then appears as the sum of N terms containing complete elliptic integrals of first and second kinds. The equation is reduced to a system of algebraic equations by the least squares method. The algorithm is applied to and numerical results are shown for a heavy singleterm solenoid with rectangular conductor cross section and two parallel busbars with rectangular conductor cross section carrying forward as well as return currents, and two diverse model examples, inductance calculations being included in the second case.
 Publication:

USSR Rept Electron Elec Eng JPRS UEE
 Pub Date:
 September 1984
 Bibcode:
 1984RpEEE....S..44M
 Keywords:

 Conductors;
 Current Distribution;
 Equivalent Circuits;
 Magnetic Fields;
 Superposition (Mathematics);
 Algorithms;
 Integral Equations;
 Least Squares Method;
 Solenoids;
 Electronics and Electrical Engineering