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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2016-09-20
Analysis of the Magnetic Field Homogeneity for an Equilateral Triangular Helmholtz Coil
By
Andres Fernando Restrepo Alvarez,

    Dr. Andres Fernando Restrepo Alvarez

    School of Electrical an Electronic Engineering, Faculty of Engineering

    Universidad del Valle

    Colombia

    Homepage

Edinson Franco Mejia,

    Dr. Edinson Franco Mejia

    School of Electrical an Electronic Engineering, Faculty of Engineering

    Universidad del Valle

    Colombia

    Homepage

Hector Cadavid Ramirez,

    Dr. Hector Cadavid Ramirez

    School of Electrical an Electronic Engineering, Faculty of Engineering

    Universidad del Valle

    Colombia

    Homepage

Carlos Rafael Pinedo Jaramillo

    Dr. Carlos Rafael Pinedo Jaramillo

    School of Electrical an Electronic Engineering, Faculty of Engineering

    Universidad del Valle

    Colombia

    Homepage

Progress In Electromagnetics Research M, Vol. 50, 75-83, 2016
doi:10.2528/PIERM16062309 | Google Scholar

Abstract
This paper presents a mathematical analysis of the magnetic field homogeneity for an Equilateral Triangular Helmholtz (ETH) coil. The magnetic field analysis is based on the Biot-Savart law in which a Taylor series approximation is performed to obtain the analytical distance that complies with the Helmholtz condition between the pair of coils. This is done to compare the magnetic field distributions of the ETH and the Circular Helmholtz (CH) coils for the parameters side length (2a, 3a) and radius (a) respectively. Furthermore, an approximate expression of the magnetic field homogeneity with regard to the side length parameter is obtained and finally a computational model of the ETH coil using COMSOL® is performed in order to validate the calculated and experimental results. The results show that the ETH coils have a lower magnetic field homogeneity than the CH coils for the described parameters, and the implementation of either one basically depends on the application specifications.
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Citation
Andres Fernando Restrepo Alvarez, Edinson Franco Mejia, Hector Cadavid Ramirez, and Carlos Rafael Pinedo Jaramillo, "Analysis of the Magnetic Field Homogeneity for an Equilateral Triangular Helmholtz Coil," Progress In Electromagnetics Research M, Vol. 50, 75-83, 2016.
doi:10.2528/PIERM16062309
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