DocumentCode :
47306
Title :
Analysis of Inductance Calculation of Coaxial Circular Coils With Rectangular Cross Section Using Inverse Hyperbolic Functions
Author :
Sizhuang Liang ; Youtong Fang
Author_Institution :
Coll. of Electr. Eng., Zhejiang Univ., Hangzhou, China
Volume :
25
Issue :
4
fYear :
2015
fDate :
Aug. 2015
Firstpage :
1
Lastpage :
9
Abstract :
This paper presents an improved method using inverse hyperbolic functions to calculate the mutual inductance and self-inductance of coaxial circular coils with rectangular cross section and uniform current density in air. The method is simple, fast, and easy to use, which only entails numerical integration with one variable. The method is derived by using inverse hyperbolic functions but can be extended to using logarithmic functions. An algorithm and a leading part checking method to resolve singularities are presented, and their theoretical foundations are fully analyzed. The results of several testing cases calculated by the proposed method were compared with those in the literature, and they were in excellent agreement.
Keywords :
coils; current density; inductance; integration; coaxial circular coils; current density; inverse hyperbolic functions; logarithmic functions; mutual inductance; numerical integration; rectangular cross section; self-inductance; Benchmark testing; Coils; Current density; Inductance; Interpolation; MATLAB; Splines (mathematics); Circular coils; inductance; inverse hyperbolic functions; numerical stability;
fLanguage :
English
Journal_Title :
Applied Superconductivity, IEEE Transactions on
Publisher :
ieee
ISSN :
1051-8223
Type :
jour
DOI :
10.1109/TASC.2015.2427353
Filename :
7096999
Link To Document :
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