Title :
Study and Analysis of Magnetic Field Homogeneity of Square and Circular Helmholtz Coil Pairs: A Taylor Series Approximation
Author :
Alvarez, A.F.R. ; Franco-Mejia, E. ; Pinedo-Jaramillo, C.R.
Author_Institution :
Grupo de Investig. en Control Ind., Univ. del Valle, Cali, Colombia
Abstract :
This paper presents an analysis of magnetic field homogeneity of square and circular Helmholtz coils pairs. The analysis is based on the Bio-Savart law for which it performs a Taylor series approximation for the magnetic field at a point on the axis of symmetry, finding an approximate expression of the homogeneity with respect to the parameter radius / length. Finally, a computational model is performed in COMSOL and comparing the magnetic field distribution for both geometries.
Keywords :
Helmholtz equations; approximation theory; magnetic fields; Bio-Savart law; COMSOL; Taylor series approximation; circular Helmholtz coil pairs; computational model; magnetic field distribution; magnetic field homogeneity; square Helmholtz coil pairs; Coils; Computational modeling; Equations; Magnetic fields; Mathematical model; Nickel; Taylor series; Computational model; Helmholtz coil; Magnetic field distribution; Magnetic field homogeneity; Taylor series;
Conference_Titel :
Andean Region International Conference (ANDESCON), 2012 VI
Conference_Location :
Cuenca
Print_ISBN :
978-1-4673-4427-2
DOI :
10.1109/Andescon.2012.27
