薄圆盘直径端点之间电阻的研究STUDY ON THE RESISTANCE BETWEEN ENDPOINTS IN DIAMETER OF A THIN DISC CONDUCTOR
王岚,惠小强
摘要(Abstract)：
针对薄圆盘直径端点之间电阻难以利用传统直接积分法或数值解法测量的问题,本文利用有限元分析法研究了薄圆盘直径端点之间电阻的测量方法。利用Comsol multiphysics设计薄圆盘电阻测量平台,通过在薄圆盘直径端点设计电极,研究了薄圆盘直径端点之间电阻随薄圆盘半径、电极位置、薄圆盘上小孔位置和大小的变化规律;利用最小二乘法拟合薄圆盘直径端点之间电阻表达式,实现薄圆盘直径端点之间电阻间接测量;在典型条件下,利用直接积分测量法对上述测量方法进行验证,结果表明本文提出的方法误差较小。本文研究工作对薄圆盘电阻的设计具有指导意义,且该研究方法还可以推广用于其他形状电阻的设计。
关键词(KeyWords)： 薄圆盘;电阻;Comsol multiphysics
基金项目(Foundation): 国家自然科学基金(11275099;11475135)
作者(Author): 王岚,惠小强
参考文献(References)：
- [1]李静.有限元方法在电磁场分析中的研究[D].重庆:重庆师范大学,2011.Li Jing.The Finite element method be used in electromagnetic field analysis[D].Chongqing:Chongqing Normal University,2011.(in Chinese)
- [2]李为峰.接地网电阻检测方法的研究[D].西安:西安理工大学,2009.Li Weifeng.The Research on resistance measuring method for grounding grids[D].Xi'an:Xi'an University of Technology,2009.(in Chinese)
- [3]Miroslav Simandl,Jaroslav Svácha.Separation approach for numerical solution of the fokker-planck equation in estimation problem[J].IFAC Proceedings Volumes,2005,38(1).
- [4]倪兴.常微分方程数值解法及其应用[D].北京:中国科学技术大学,2010.Ni Xing.Numerical solution of ordinary differential equations and its application[D].Beijing:University of Science and Technology of China,2010.(in Chinese)
- [5]侯雪.基于comsol的肺部电阻抗断层成像仿真研究[D].天津:天津大学,2011.Hou Xue.Lung electrical impedance tomography simulation based on COMSOL[D].Tianjin:Tianjin University,2011.(in Chinese)
- [6]李忠良.基于压电阻抗健康监测的实验及有限元仿真分析[D].浙江:浙江大学,2013.Li Zhongliang.Experimental and numerical simulation of health monitoring based on EMI[D].Zhejiang:Zhejiang University,2013.(in Chinese)
- [7]毛亚琴.电阻法研究碳纤维树脂基单向拉挤复合材料的破坏行为[D].北京:北京化工大学,2004.Mao Yaqin.Study on the failure behavior of cfrp unidirectional pultruded composites by electrical resistance method[D].Beijing:Beijing University of Chemical Technology,2004.(in Chinese)
- [8]陈小燕.基于COMSOL软件的大地电磁正演模型[D].西安:长安大学,2014.Chen Xiaoyan.Magnetotelluric forward modeling based on software of COMSOL[D].Xi'an:Chang'an University,2014.(in Chinese)
- [9]Feng Zhongkui,Xu Ying,Li Xian,et al.Optimum electromagnetism design based on co-simulation of Matlab and COMSOL[J].Electromagnetic Analysis and Applications,2012,01(01):13-17.
- [10]许灿荣.基于COMSOL的近距离下保护层开采瓦斯流动模型[D].河南:河南理工大学,2012.Xu Canrong.Methane flow model of the near distance lower protective coal seam based on COMSOL[D].Henan:Henan Polytechnic University,2012.(in Chinese)