高频电子电路用矩形截面圆环磁芯中涡流损耗的解析解  

ANALYTICAL SOLUTION OF EDDY-CURRENT POWER LOSS IN TOROIDAL CORES WITH RECTANGULAR CROSS SECTION FOR HIGH-FREQUENCY ELECTRONIC CIRCUITS

作　　者：马西奎[1] 赵彦珍[1] 戴栋[1] 

机构地区：[1]西安交通大学电气工程学院,陕西省西安市710049

出　　处：《中国电机工程学报》2005年第6期124-128,共5页Proceedings of the CSEE

摘　　要：研究了高频电子电路用矩形截面圆环磁芯中涡流损耗的计算问题。得到了磁场和涡流分布的单重级数式解析解,以及损耗功率的计算公式。讨论了透入深度和磁芯尺寸等各个参数对损耗功率的影响。给出了几种特殊情况下损耗功率的近似计算公式。与 Namjoshi 等采用的二重级数方法相比较,该文方法不涉及求超越方程的根,且没有条件λ<2 的限制,具有计算简单、精度高、速度快和不受应用范围限制的优点,更具有实用价值。特别是,对研究在非正弦电流激励耗有重要的意义。It is shown that a fairly large class of transverse electric eddy-current problems with rotational symmetry admits simple numerical solutions and admits analytical solutions in certain cases. In this paper, the case of toroidal core with a rectangular cross section is considered, as an example, in detail. An analytical method is used for the distributions of magnetic field and eddy-current, in which the field variables are expressed as a single series in terms of Bessel functions and trigonometric functions. A closed-form expression is derived for the power loss. The influence of various parameters such as skin depth and core dimensions over a wide range is discussed. Simplified expressions for the power loss at special cases such as very small and very large skin depths are provided. Compard with Namjoshi’s double-series- method, our method is easy, accurate, efficient and not confined for the practical applications since it needs not work out the zero of the cross product about Bessel function. The analysis of power loss is also valid for a rectangular cross section toroidal core excited with nonsinusoidal current.

关 键 词：涡流损耗 矩形截面 高频电子 解析解 磁芯 圆环 路用 损耗功率 近似计算公式 非正弦电流 计算问题 涡流分布 透入深度 特殊情况 二重级数 方程的根 应用范围 实用价值 限制 

分 类 号：TM410.11[电气工程—电器] TU375.01[建筑科学—结构工程]