Title :
The Brooks inductor: a study of optimal solenoid cross-sections
Author :
Murgatroyd, P.N.
Author_Institution :
University of Loughborough, Department of Electronic and Electrical Engineering, Loughborough, UK
fDate :
11/1/1986 12:00:00 AM
Abstract :
The Brooks inductor solves a problem, first studied by Maxwell and Gauss, of obtaining the greatest possible inductance with a given piece of wire. A simple procedure, presented graphically and algebraically, facilitates rapid design of air-cored solenoids to required inductance and current loadings. Calculations show that if the winding cross-section is not restricted to rectangles, as assumed hitherto, inductance values may be raised by about 1% above the Brooks limit.
Keywords :
inductors; solenoids; windings; Brooks inductor; air-cored solenoid rapid design; current loadings; maximum wire inductance; optimal solenoid cross-sections; winding cross-section;
Journal_Title :
Electric Power Applications, IEE Proceedings B
DOI :
10.1049/ip-b:19860041