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金属管道外放置式偏心弯曲矩形线圈涡流场的解析解

, PP. 153-159

Keywords: 解析解,偏心弯曲矩形线圈,二阶磁矢位,加法定理,电磁场

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Abstract:

本文得到了偏心弯曲矩形线圈在非铁磁性金属管道侧面放置时涡流场的解析解。求解过程是用二阶磁矢位建立了涡流问题的数学模型,得到了含待定偏心线圈系数的二阶位函数表达式;根据毕奥-萨伐尔定律和用修正贝塞尔函数表示的距离倒数得到了线圈未偏移时的线圈系数;利用修正贝塞尔函数的加法定理计算出线圈偏移后的偏心线圈系数。在涡流场解析解的基础上,本文计算了偏心弯曲矩形检测线圈上的感应电压。实验表明,理论分析结果与实验结果吻合。

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