【作者】 刘志琴；

【导师】 张惠娟；

【作者基本信息】 河北工业大学 ， 电工理论与新技术， 2003， 硕士

【摘要】 利用电磁场有限元法分析涡流场在不同电源激励下的分布，进而研究铁磁材料中的温度及其分布可以大大提高对电磁场和对电热场的控制，其中电磁场和其它物理场综合作用理论和计算的研究是相关磁技术应用的理论基础，也是近年来电磁场计算应用的难点课题。本文在深入、系统总结现有文献的基础上，针对课题相关的理论、数值算法，进行了较深入的研究工作。 文中通过对一个空心金属圆筒结构的电磁系统进行分析，以电磁场矢量位有限元法为基础对磁场强度、涡流密度进行了计算求解，采用三角形单元建立了涡流场数学模型，研究了电源频率对涡流密度、透入深度及集肤效应等场量的作用影响。 本文建立了电磁加热系统的涡流场和温度场间接耦合的数学模型，分析了不同频率下涡流和温度的分布情况，并以八节点六面体等参元为例给出了涡流场对应的离散格式，通过计算涡流场获得温度场所需要的内热源强度，加热部件的温度场以轴对称格式进行离散求解，并对瞬态温度场有限单元法的求解特点进行了分析。 最后，本文对编制的软件进行了验证，与理论值相比，结果基本吻合，由此证明了本文提出的论点、算法和程序的正确性。更多还原

【Abstract】 Use electromagnetic finite element method to analyze the distribution of eddy current field with different power supply, then to research that the temperature and distribution of ferromagnetic material can improve the control of electromagnetic and electrothermal field greatly. There into the research of the theory and computation of electromagnetic field act on other physical field is the foundation of the application of magnetic technology, and it is also one of the hot-spot topics in circles researching electromagnetic field. Base on the embedded and comprehensive summarization of the exiting literature, this article do some embedded researching work to the theory, number arithmetic about the subject.Through the analyses of electromagnetic system of configuration of hollow metal cylinder by electromagnetic vector potential, an eddy current field math model is built by triangle cell, this article has researched power frequency to eddy current density, permeation depth and the effect of skin effect.The paper establishes mathematics model of electromagnetic heating system of eddy current field and temperature field, and gives corresponding discrete format with elements as eight nodes, hexahedron equal cell, through calculating eddy-current field to gain the internal heat source that the temperature field needed, to use discrete method to solve the problem of induction-heating part’s temperature field by axial symmetrical electromagnetic, and then to analyze the characteristic of instantaneous temperature field.Finally, the programs are verified through this article, the result accord with theory in substance. All results prove that the theories, algorithm and programs are correct.更多还原