磁性材料在正弦电磁场中振动的数学模型  

A Mathematical Model of Vibrations of Magnetic Materials under Magnetization

作　　者：顾晓安[1] 沈荣瀛[1] 沈密群[1] 徐基泰 

机构地区：[1]上海交通大学振动冲击噪声国家重点实验室,上海200030 [2]西安变压器厂,西安710077

出　　处：《上海交通大学学报》2004年第2期308-311,共4页Journal of Shanghai Jiaotong University

摘　　要：将电磁场理论与弹性力学理论相结合,建立了描述正弦变电磁场中磁性材料振动的数学模型.首先,介绍电磁场理论中基于虚功原理导出的磁场力的一般数学表达式;随后基于电力设备中磁性材料的物理和几何特点给出其力学模型,基于电力设备磁路的对称性给出其磁场力简化数学模型;将上述两种模型相结合导出描述正弦交变电磁场诱发磁性材料振动的数学模型.这些数学模型的建立为定性和定量分析大型电力变压器铁心及其他电力设备磁路由于磁性材料中存在涡流而产生的振动和噪声奠定了基础.This paper is focused on a mathematical model of vibrations of magnetic materials under magnetization. A general mathematical expression of magnetic forces was presented according to the theory of electromagnetic field. Based on its geometrical and physical features, a mechanical model of magnetic materials in electric machines was established. Due to the symmetry of magnetic circuit of large power equipment, its simplified mathematical model of magnetic forces was discussed. Combination of the above models was made to formulate the required models. The proposed models can be used to analyze the vibration and noise caused by eddy current in magnetic circuit of large power equipments.

关 键 词：磁性材料 振动 数学模型 

分 类 号：TB535[理学—物理]