【作者】 李红莲； 李庆； 李小亭； 祝彦；

【Author】 LI Hong-lian LI Qing LI Xiao-ting ZHU Yan (Supervision Institution of Quality and Technology,Hebei University,Baoding 071002,China)

【机构】 河北大学质量技术监督学院；

【摘要】 以离散分布的电流流向相反的两层导线(简称两层导线)为近似模型的实例在实际应用中很常见,但目前对其附近的磁场进行的数值计算和分析还远远不够。本文利用了一种求解二维场问题相当优越的方法——复变函数法,由对数变换函数建立了电流流向相反的两层导线情形下导线外部磁场的分布特点的理论模型。此模型是关于矢量磁位 A 的方程,求解该方程,可得到公共磁通和漏磁通的磁场分界线。利用数值计算,能够求出任意位置的矢量磁位值,从而得出相应的磁场分布图,并可将分界线的位置、公共磁通和漏磁通的分布情况直观地表示在图形中。本工作对漏磁通和漏电感的计算具有重要的参考价值,结果可应用于感应调压器、有源扼流圈等环形线圈。更多还原

【Abstract】 The applications of Double Long Straight Current-Carrying Wires with Discrete Distribution(DLSCCWDD)are very common in practicality.However,the analysis and the value calculation to the magnetic field of DLSCCWDD distribution nearby are not far from abundant.In this paper,a theoretic model is built based on the logarithm transform function that comes from the complex function,an advanced method to explain two-dimensional field equation.The vector magnetic potential A is calculated by the theoretic model.Furthermore,the value of vector magnetic potential at anywhere is gained by using the function of value calculations.Thus,the distribution figure,which is magnetic field of DLSCCWDD,is obtained.The equations of boundary magnetic field line can be obtained by further analysis on the model,the position of boundary on the axis can be theoretically calculated;all the results can be present directly in the figure,together with the apparent distribution of main magnetic flux and the dispersing flux.The work will be of importance in calculating the dispersing flux and leakage inductance,and is amenable to the application of circle curls such as choke,induction regulator.更多还原