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矩形线圈自感的精确表达式
引用本文:武中华,李文尧. 矩形线圈自感的精确表达式[J]. 物探化探计算技术, 2011, 33(5): 511-516,463
作者姓名:武中华  李文尧
作者单位:昆明理工大学国土资源工程学院,云南昆明,650093
摘    要:矩形线圈的自感公式在电气工程、电工电子技术,以及应用地球物理学等领域均有普遍的应用。由于自感计算的复杂性,目前使用的矩形线圈自感公式均为近似计算公式。这里推导了圆截面单匝矩形线圈自感的精确表达式,以及正方形单匝线圈自感的近似公式。目前使用的单匝矩形线圈自感近似公式与这里推导的精确公式相比,均存在很大误差:当正方形线圈边长从1m到5m时,电气工程工具书和电工电子工具书中的自感公式误差为3.06%到2.38%。使用瞬变电磁法勘探中常用的自感公式,当正方形回线边长为5m时,误差最小为-41.17%,最大为228.25%;当回线边长为200m时,误差最小为-59.75%,最大为212.49%。

关 键 词:矩形线圈  自感  精确表达式

PRECISE FORMULA OF SELF-INDUCTANCE OF ROUND CONDUCTOR RECTANGULAR COIL
WU Zhong-hua,LI Wen-yao. PRECISE FORMULA OF SELF-INDUCTANCE OF ROUND CONDUCTOR RECTANGULAR COIL[J]. Computing Techniques For Geophysical and Geochemical Explorationxploration, 2011, 33(5): 511-516,463
Authors:WU Zhong-hua  LI Wen-yao
Affiliation:WU Zhong-hua,LI Wen-yao(Faculty of Land and Resources Engineering,Kunming University of Science and Technology,Kunming 650093,China)
Abstract:The self-inductance formula of rectangular coil is widely used in fields of electrical engineering,electrical and electronic technology and applied geophysics etc.Because of the Complexity for inductance calculation,the current self-inductance formulas of rectangular coil are approximate.This paper has deduced the precise formula of self-inductance of round conductor rectangular coil and the approximate formula for square coil.Compared with the precise formula in this paper,there are large margins for the e...
Keywords:rectangular coil  self-inductance  precise formula  
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