Analytical solutions to the electromagnetic field in a cylindrical shell excited by external axial current  

作　　者：吴静 肖春燕 

机构地区：[1]School of Automation Science and Electrical Engineering,Beihang University

出　　处：《Chinese Physics B》2010年第4期239-246,共8页中国物理B（英文版）

基　　金：Project supported by the State Key Lab of Power Systems,China (Grant No. SKLD09KM06)

摘　　要：The solutions to the electromagnetic field excited by a long axial current outside a conductive and magnetic cylindrical shell of finite length are studied in this paper. The more accurate analytical solutions are obtained by solving the proper boundary value problems by the separation variable method. Then the solutions are simplified according to asymptotic formulas of Bessel functions. Compared with the accurate solutions, the simplified solutions do not contain the Bessel functions and the inverse operation of the singular matrix, and can be calculated out fast by computers. The simplified solutions are more suitable for the cylindrical shell of high permeability and conductivity excited by a high frequency source. Both of the numerical results and the physical experimental results validate the simplified solutions obtained.The solutions to the electromagnetic field excited by a long axial current outside a conductive and magnetic cylindrical shell of finite length are studied in this paper. The more accurate analytical solutions are obtained by solving the proper boundary value problems by the separation variable method. Then the solutions are simplified according to asymptotic formulas of Bessel functions. Compared with the accurate solutions, the simplified solutions do not contain the Bessel functions and the inverse operation of the singular matrix, and can be calculated out fast by computers. The simplified solutions are more suitable for the cylindrical shell of high permeability and conductivity excited by a high frequency source. Both of the numerical results and the physical experimental results validate the simplified solutions obtained.

关 键 词：analytical solution electromagnetic field ferrite shell axial current 

分 类 号：O441.4[理学—电磁学]