一般空心平面线圈电感计算的数值方法与计算精度控制  

Numeric Inductance Calculation and Evaluation for Air-Cored Flat Coils

作　　者：范良志[1] 周向阳[1] 乔桥[1] 张成俊[1] 毕文武[1] 

机构地区：[1]武汉纺织大学机电学院机制教研室,湖北武汉430073

出　　处：《机电产品开发与创新》2011年第6期127-129,共3页Development & Innovation of Machinery & Electrical Products

基　　金：国家自然科学基金"针织装备中的电织针原理;控制与热设计项目"资助(50805109)

摘　　要：为适应一般空心平面线圈电感的分析与设计需要,本文由有限长直导线磁场空间分布出发,给出了一种空心平面线圈电感与互感的数值求解方法。算法根据电感的计算精度指标、导线线径与线圈曲线部分平均曲率半径,确定线圈直线逼近划分与线圈面积细分方式,进而给出对应电感计算原理性误差界限,由磁链法计算得到一般形状平面线圈的自感,及其对其他线圈的互感。作者对比了经典的Greenhouse矩形线圈电感计算方法与数值算法结果,具有解析表达式的圆环空心电感计算公式的计算结果与数值算法结果,以及某超薄直线电机电枢平面线圈的电感Ansys7.1分析结果,表明了论文提出的算法的有效性与精确性。论文提出的数值算法由线圈导线走线轨迹驱动,计算误差可控,特别方便于一般空心平面线圈的电感设计计算。This paper put forward a numeric method to resolve the inductances of/between universal air-cored planar coils.Inductance evaluations are done according to magnetic-flux inside the coil boundaries.Universal current curves are linearized and the inductance evaluation precision is given in accordance to the specified numeric calculation precision,current track diameter and average curvatures along corresponding current tracks.The author compares recommended numeric method and conventional Greenhouse method for rectangular air-cored coil,in addition to a single circular coil inductance that has proved inductance formula,besides a planar coil inductance calculated by Ansys7.1,all the results perfectly agree with each other.Recommended algorithm is driven by current track data and numeric inductance precision could be controlled,which offers a great convenience for universal air-cored coil design.

关 键 词：空心平面线圈 电感 数值方法 精度 

分 类 号：TP23[自动化与计算机技术—检测技术与自动化装置]