基于MAXWELL的磁栅传感器磁场仿真分析
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摘要
针对磁栅传感器磁性标尺定量分析困难的现状,简化磁性标尺为矩形永磁体阵列,采用分子电流假说,根据毕奥—萨伐尔定律建立了矩形永磁体数学模型,分析得出永磁体尺寸和气隙是影响采集到的磁感应强度波形数据的重要因素。利用Ansoft Maxwell平台进行仿真,在固定1 mm永磁体厚度的情况下,得到以1～10 mm不同节距和0～5 mm气隙厚度区域内y方向的磁感应强度变化曲线。并建立基于傅里叶变换,以响应信号失真度作为评判标准的评价函数。着重分析了霍尔元件距永磁体距离和永磁体节距对响应信号的影响。依托质量评价函数,得出永磁体不同节距尺寸的最佳气隙范围,为磁栅传感器的优化和高性能使用提供理论支撑。
Aiming at the difficulty of quantitative analysis of magnetic scale of magnetic grating sensor,the magnetic scale is simplified as rectangular permanent magnet array. Using the molecular current hypothesis,mathematical model for rectangular permanent magnet is established,according to Biot-Savart Law. Analysis shows that the permanent magnet size and air gap are important factors affecting the acquired magnetic induction intensity waveform data. Simulation is performed using the Ansoft Maxwell platform,in the case of fixing the 1 mm thickness of permanent magnet,the magnetic induction intensity change curve in the y direction in the region of 1～ 10 mm different pitch and 0 ～ 5 mm air gap thickness is obtained. Evaluation function is built based on the Fourier transform using response signal distortion as evaluation criterion. The influence of the distance between the Hall element and the pitch of permanent magnet on the response signal is analyzed. According to the quality evaluation function,the optimal air gap range of different pitch sizes of permanent magnets is obtained,which provides theoretical support for the optimization and high performance usage of magnetic grating sensor.
Aiming at the difficulty of quantitative analysis of magnetic scale of magnetic grating sensor,the magnetic scale is simplified as rectangular permanent magnet array. Using the molecular current hypothesis,mathematical model for rectangular permanent magnet is established,according to Biot-Savart Law. Analysis shows that the permanent magnet size and air gap are important factors affecting the acquired magnetic induction intensity waveform data. Simulation is performed using the Ansoft Maxwell platform,in the case of fixing the 1 mm thickness of permanent magnet,the magnetic induction intensity change curve in the y direction in the region of 1～ 10 mm different pitch and 0 ～ 5 mm air gap thickness is obtained. Evaluation function is built based on the Fourier transform using response signal distortion as evaluation criterion. The influence of the distance between the Hall element and the pitch of permanent magnet on the response signal is analyzed. According to the quality evaluation function,the optimal air gap range of different pitch sizes of permanent magnets is obtained,which provides theoretical support for the optimization and high performance usage of magnetic grating sensor.
引文
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[3]刘会森,张玉莲,董全林,等.电磁感应式位置传感器研究[J].传感器与微系统,2017,36(4):51-53,56.
[4]李兵,孙彬,陈磊,等.激光位移传感器在自由曲面测量中的应用[J].光学精密工程,2015,23(7):1939-1947.
[5]王东升,葛海波,杜琴.光纤光栅传感器中磁场测量稳定性研究[J].传感器与微系统,2014,33(3):62-65.
[6]郝双晖,刘吉柱,刘勇,等.新型绝对式磁栅位移传感器的设计[J].高电压技术,2009,35(9):2120-2125.
[7]Xu Z H,Wang S C,Chin T S,et al.Multi-pole fine magnetic scale for high-resolution magnetic encoders evidenced by a simplified method[J].Microsyst Technol,2014,20:1491-1496.
[8]苟晓凡,杨勇,郑晓静.矩形永磁体磁场分布的解析表达式[J].应用数学和力学,2004,25(3):271-278.
[9]Guo Y Q,Liu L,Fu Y L,et al.Optimization of magnetic-gratinglike stroke-sensing cylinder based on response quality evaluation algorithm[J].Journal of Sensors,2018:15.
[10]李闯闯,郭彦青,付永领.类磁栅液压缸位移传感器工作机理及仿真分析[J].液压与气动,2018(1):65-70.
[11]郭彦青.类磁栅液压缸集成位移传感器关键技术[M].北京:电子工业出版社,2016.
[12]贾起民,郑永玲,陈暨耀.电磁学[M].3版.北京:高等教育出版社,2012.
[13]Q/DDX001-2009.安徽大地熊新材料股份有限公司企业标准--烧结钕铁硼磁体[S].2009.
[14]杜川.MEMS永磁薄膜磁场的设计与仿真[J].电子器件,2018,41(2):286-291.
[15]梁志国,耿书雅.基于傅里叶变换的正弦信号源波形失真评价方法[J].计量学报,2004,25(4):357-361.
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