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ID:51412375
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时间:2020-03-23
《一种任意正交折线线圈阻抗的解析建模新方法.pdf》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、第37卷第5期仪器仪表学报Vol37No52016年5月ChineseJournalofScientificInstrumentMay.2016一种任意正交折线线圈阻抗的解析建模新方法黄一民,吴德会,李雪松,杨秀淼,苏令锌(厦门大学机电工程系测试控制技术研究所厦门361005)摘要:提出了一种位于导体上方正交折线线圈的阻抗解析建模方法。首先,在前人研究的基础上,定义了外形位置因子,得出了单矩形线圈的入射场感应电压及散射场电压简化计算方法;其次,将多个矩形线圈自感电压及两两之间的互感电压叠加,建立了串联等效电感模型;再次,根据任意正交折线线圈的几何原
2、理,将该线圈拆解为有限个相同截面的矩形线圈并进行重构,得出入射场阻抗及散射场阻抗的广义二重积分表达式。最后,利用Mathematica对回折线圈实例进行了计算与实验比较,并根据影响阻抗的各个变量绘制阻抗平面图。拆解重构方法可用于不同形状、不同激励频率、不同提离高度的正交折线线圈平行置于任意电导率导体上方的阻抗解析计算。关键词:广义二重积分;外形位置因子;拆解重构;串联等效中图分类号:TM154.1TH702文献标识码:A国家标准学科分类代码:460.4010Newimpedanceanalyticalandmodelingmethodofanyortho
3、gonalpolylinecoilHuangYimin,WuDehui,LiXuesong,YangXiumiao,SuLingxin(TestingandControllingResearchInstitute,DepartmentofElectronicMechanicalEngineering,XiamenUniversity,Xiamen361005,China)Abstract:Inthispaper,animpedanceanalyticalmodelingmethodisproposedfortheorthogonalpolylinecoi
4、llocatedaboveconductor.Firstly,theshapepositionfactorofthecoilisdefinedonthebasisofpreviousstudies.Thesimplifiedcalculationmethodoftheincidentfieldinducedvoltageandscatteredfieldvoltageofasinglerectangularcoilisobtained.Secondly,theselfinductionvoltageandmutualinductancevoltageo
5、feverytwocoilsformultiplerectangularcoilsaresuperimposedtoestablishtheseriesequivalentinductancemodel.Then,accordingtothegeometricalprincipleofarbitraryorthogonalpolylinecoil,thecoilcanbedecomposedintofiniterectangularcoilswithsamecrosssectionandthereconstructionisconductedtoobt
6、aintheimproperdoubleintegralexpressionsoftheincidentfieldimpedanceandscatteredfieldimpedance.Finally,themathematicasoftwarewasusedtocalculateameandercoilexample,andexperimentcomparisonwasalsoconducted;theimpedanceplanediagramswereplottedaccordingtothevariablesthataffecttheimpedan
7、ce.Thedisassemblyandreconstructionmethodproposedinthispapercanbeusedfortheimpedanceanalyticalcalculationoftheorthogonalpolylinecoilswithdifferentshapes,underdifferentexcitationfrequencyanddifferentliftoffheightplacedparallellyabovetheconductorwitharbitraryelectricalconductivity.
8、Keywords:improperdoubleintegral;shapepos
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