含铁基纳米晶带线圈与电容LC混联电路的谐振频率  

The Resonant Frequencies of the LC Series-parallel Circuit Composed of Capacitors and a Coil which Containing Fe-based Nanocrystal Ribbons

作　　者：王宗篪[1] 张晓玉[1] 黄思俞[1] 郑冬梅[1] 

机构地区：[1]三明学院机电工程学院,福建三明365004

出　　处：《三明学院学报》2016年第4期47-53,共7页Journal of Sanming University

基　　金：福建省省属高校科研专项(JK2010060)

摘　　要：含有Fe73Cu1Nb1.5V2Si13.5B9纳米晶带的电感线圈与电容Cs串联再与电容Cp并联,组成仿石英晶体振荡电路。通过实验发现,含铁基纳米晶带线圈与电容LC混联电路有3个谐振频率,一个串联谐振频率,另一个并联谐振频率,还有第3个谐振频率。把实验分别测出含铁基纳米晶带线圈自感系数Ls、铁基纳米晶带交流磁化损耗的等效电阻Rs与交流磁化场频率f的关系曲线进行数值拟合,得到Ls、Rs与频率f的函数式,再带入含铁基纳米晶带线圈与电容LC混联电路的复阻抗表达式中,用数值解法得到谐振时有3个正实根,说明了实验测得含铁基纳米晶带线圈与电容LC混联电路有3个谐振频率的结果。当外磁场作用在含铁基纳米晶带上时,含铁基纳米晶带线圈与电容LC混联电路串联谐振频率和并联谐振频率向高频移动,而第3个谐振频率不发生变化,通过实验测得自感系数和损耗电阻在谐振频率时随外磁场的变化关系解释了上述现象。In this study, the bionic quartz crystal oscillation circuit was composed of a inductance coil which contain- ing Fe-based nanocrystal ribbons in series with a capacitor C, and then in parallel with a capacitor Cp. Three inherent resonant frequencies wcrc found in bionic quartz crystal oscillation circuit through experiments, one series-resonant frequency f, an- other parallel-resonant ficqucncyfp, the third resonant ficqucncyf,. The ficquency dependence of the self inductance Ls of the coil which containing Fc-based nanocrystal ribbons and the equivalent resistance Rs of the hysteresis loss of Fe-bascd nanocrystal ribbons were measured, respectively, L,=L, f f） and R,=R, （f） were obtained by fitting the curve of the frequency dependence of the L, and R,, respectively. L,=L, （f） and Rs=R, （f） were substituted into the complex irnpedancc Z expres- sion of the LC series-parallel circuit composed of capacitors and a coil which containing Fe-based nanocrystal ribbons, three real roots of the equation of Ira （Z）=0 were obtained by numerical solution when the resonant of the LC series-parallel circuit composed of capacitors and a coil which containing Fe-based nanocrystal ribbons, and corresponding to the experimental phenomenon of three inherent resonant frequencies of the LC series-parallel circuit composed of capacitors and a coil which containing Fe-bascd nanocrystal ribbons. The dependence of the LC series-parallel circuit cmposcd of capacitors and a coil which containing Fc-bascd nanocrystal ribbons resonant fi＇cqucncics on external magnetic field were measured, the phe- nomenon of the magnetic ~cquency shift of the LC series-parallel circuit composed of capacitors and a coil which containing Fc-bascd nanocrystal ribbons were explained according to the external magnetic dependence of the self inductance of the coilwhich containing Fe-based nanocrystal ribbons and the equivalent resistance of the hysteresis loss of Fe-based nanocrystal ribbons through experiments at three inherent resonant freq

关 键 词：铁基纳米晶带 LC混联电路谐振 谐振频率 曲线拟合 磁致频移 

分 类 号：O441.1[理学—电磁学]