考虑端部效应的电磁直线执行器解析建模方法

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中图分类号：TM359.4 文献标识码：A DOI：10.7535/hbkd.2025yx04002

Analytical modeling method for electromagnetic linear actuators considering end effects

LIYuxin，LI Bo，GE Wenqing，LUJiayu，CHENJiewei （Schoolof Transportationand VehicleEngineering，Shandong Universityof Technology，Zibo，Shandong 2550o，China

Abstract：Inordertosolve theproblemof magneticfielddistortioncausedbythehigh magnetic permeabilityoftheend cover of movingcoil electromagneticlinearactuator，which leadstofluctuations inthethrustofactuatorandtheinaccuracyof the analyticalsolution，amagneticfieldanalyticalmodelingmethodcombiningthepseudo-periodmethodandthemagneticvector potential methodwas proposed.Considering theendefect，the virtualarraywas extended toboth sidesof thepermanent magnetandwindingarrayinthepseudo-periodtocompensatetheend magneticcircuit，andtheanalytical expresionsof the magneticfielddistributionof theopencircuitandarmaturereactionwerederived intheformofFourierseries.Onthis basis， theanalytical expressionof electromagnetic thrust wasderivedbyLorentzforce method.Theresultsshow thatcompared with finite element simulation，the maximum error of the analyzed thrust value is 9.04% when ignoring the end cap，while the maximum error of the analyzed thrust value is 3.97% when considering the end effect，which verifies the effectiveness of the proposed method；the average relative error of the experiment is 3.77% ，which verifies the correctness of the proposed method.This methodcanefectivelyconsiderthe influenceof theendcaponthe magnetic fielddistortion，which provides theoreticalreferenceforsolvingtheelectromagneticcharacteristicsof theelectromagneticlinearactuatorquicklyandacurately， optimizing the structural parameters and the control process.

Keywords：electrical machinery；movingcoilelectromagneticlinearactuator；analyticalmodeling；pseudo-periodicmethod; end effect

动圈式电磁直线执行器与旋转电机相比，没有机械齿轮或传动机构，具有结构简单、效率高、推力密度高的特点，现已常用于军事、高精度车床及汽车等领域[1]。（剩余10759字）