钢绞线丝间变形与感应加热效果数学模型的研究

程亚平; 李志刚; 张强

doi:10.21656/1000-0887.370010

钢绞线丝间变形与感应加热效果数学模型的研究

doi: 10.21656/1000-0887.370010

¹河北工业大学电气工程学院, 天津 300130;²天津电子信息职业技术学院电子技术系, 天津 300350

基金项目: 国家自然科学基金(51578208)

详细信息

作者简介:
程亚平（1983—），女，博士生（通讯作者. E-mail: chengyaping83@126.com）.

中图分类号: O241.2
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- 被引次数: 0
出版历程
- 收稿日期: 2016-01-11
- 修回日期: 2016-05-10
- 刊出日期: 2016-09-15

Mathematical Models for Deformation Between Steel Strand Wires and Induction Heating Effects

¹School of Electrical Engineering, Hebei University of Technology, Tianjin 300130, P.R.China;²Department of Electronic Technology, Tianjin Electronic Information College, Tianjin 300350, P.R.China

Funds: The National Natural Science Foundation of China(51578208)

摘要

摘要: 根据Hertz(赫兹)接触理论结合钢绞线的结构特性推导了丝间变形的计算方法，采用该方法计算钢绞线感应加热过程中丝间接触面宽度的大小，为建立精确的钢绞线感应加热有限元模型提供了一种新方法.利用有限元分析法计算钢绞线感应加热温度值，得到不同电流密度和频率下的温度数据.通过对温度数据进行回归分析，采用平均相对误差来评价多个回归模型拟合程度的优劣，建立了感应加热效果的最优数学模型.该模型为应用经典控制理论实现钢绞线感应加热温度控制提供了理论依据.
- 钢绞线 /
- 丝间变形 /
- 感应加热 /
- 有限元分析法 /
- 数学模型
Abstract: The calculation model for deformation between wires was derived based on the Hertz contact theory and the structural characteristics of steel strands, and the contact area width between steel strand wires in the induction heating process was calculated with this model, which helped establish a precise finite element model for the induction heating of steel strands. Then the temperature fields in the steel strand under induction heating were simulated with the finite element method, where temperature data at different current densities and frequencies were given. Through the regression analysis of the temperature data, the average relative errors were used to evaluate the quality of several mathematical fitting models, so the optimal mathematical model for induction heating effects was found. The present work provides a theoretical basis for the control of the induction heating temperature in steel strands based on the classical control theory.
- steel strand /
- deformation between wires /
- induction heating /
- finite element method /
- mathematical model

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参考文献(16)

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