半无限大导电媒质中恒定电流元的电场分布研究  

Research on electric field generated by constant current differentiation in semi-infinite conductive medium

作　　者：陈聪[1] 吴旭 孙嘉庆 杨博闻 CHEN Cong;WU Xu;SUN Jiaqing;YANG Bowen(Department of Basic Courses,Naval University of Engineering,Wuhan 430033,China;School of Weaponry Engineering,Naval University of Engineering,Wuhan 430033,China)

机构地区：[1]海军工程大学基础部,湖北武汉430033 [2]海军工程大学兵器工程学院,湖北武汉430033

出　　处：《华中科技大学学报（自然科学版）》2023年第8期122-127,共6页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51109215);军内装备科研资助项目(HJ20191C080752)。

摘　　要：从导电媒质中电场的产生机理出发,在分析电场场源的电流结构的基础上,提出采用恒定电流元来对恒定电场场源进行等效,物理图像更为清晰.在此基础上,首先,推导了无限大导电媒质中恒定电流元产生的标量电位分布所满足的定解问题及其解;然后,基于镜像法以矩阵的形式推导出两种情况下半无限大导电媒质中恒定电流元所产生的电场分布表达式,并且通过恰当的引入场源镜像解决了已有文献中存在的不严谨问题;最后,在实验室中模拟半无限大导电媒质空间及恒定电流元,通过实测场分布数据和理论仿真值对比,可知理论推导正确.研究结果有助于完善相关理论基础.Starting from the generating mechanism of electric field in conductive medium,on the basis of analyzing the current structure of electric field source,the constant current differentiation was used to equivalent the constant electric field source,and the physical image is clearer.On this basis,firstly,the definite solution problem and its solution for scalar potential distribution generated by constant current differentiation in an infinitely conductive medium were derived.Then based on the mirror image method,the expression of the electric field distribution generated by the constant current differentiation in the semi-infinite conducting medium was derived in the form of matrix.And by introducing the field source mirror appropriately,the problem in the existing literature was solved.Finally,the semi-infinite conducting medium space and constant current differentiation were simulated in the laboratory.By comparing the measured field distribution data with the theoretical simulation value,the correctness of the theoretical derivation was proved.The research results are helpful to improve the relevant theoretical basis.

关 键 词：电流元 电偶极子 导电媒质 恒定电场 镜像法 

分 类 号：U665[交通运输工程—船舶及航道工程]