朱昊昕,贺西平,廖迈伟

• 1:陕西师范大学物理学与信息技术学院

摘要(Abstract)：

多线圈作为超磁致伸缩换能器内部的重要组成结构，其在工作状态下因涡流效应所引起的电阻损耗是不可忽视的。而单芯、多芯线圈的涡流损耗作用机理并不相同，单芯线圈电阻损耗主要由趋肤效应主导，多芯线圈的电阻损耗则是由趋肤效应及邻近效应共同影响。该文基于麦克斯韦方程组和涡流效应推导出单芯、多芯线圈电阻损耗的解析计算式，并使用有限元方法对通以相同电流、相同横截面积情况下的单芯、多芯线圈进行不同超声频段下的损耗研究，最后基于RLC串联电路谐振状态下电路呈纯阻性的原理，测量单、多芯线圈的交流电阻，结合损耗功率计算公式进而得到线圈的涡流损耗。实验结果与仿真模拟结果、解析计算结果相吻合，验证了线圈功率损耗解析计算式及实验方法的有效性。

关键词(KeyWords)： 电阻损耗;趋肤效应;邻近效应;有限元仿真

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(12174131)

作者(Author): 朱昊昕,贺西平,廖迈伟

参考文献(References)：

• [1] 殷毅.稀土超磁致伸缩材料及其应用研究现状[J].磁性材料及器件，2018,49(3):57-60.Yi Y.Research status of rare earth giant magnetostrictive materials and their applications[J].Journal of Magnetic Materials and Devices,2018,49(3):57-60.(in Chinese)
• [2] Yunshuai C,Pengyang L,Jian S,et al.Loss-based structures and frequency dependencies of giant magnetostrictive materials for rotary ultrasonic machining applications[J].Journal of Science:Advanced Materials and Devices,2023,8(3):100609,1-10.
• [3] ASHISH P S,S.K.P.Influence of the bi-nonlinearity on the characterization of mode I fracture parameter[formula omitted] for a cracked giant magnetostrictive material in the coupled magneto-elastic field:An experimental and numerical study[J].Engineering Fracture Mechanics,2023,279:109046,1-38.
• [4] LONG Y,WENJIE W,XU Z,et al.Design and optimization of high-power and low-frequency broadband transducer with giant magnetostrictive material[J].Sensors,2022,23(1):108-108.
• [5] 兰天，冯平法，张建富等.超磁致伸缩换能器涡流损耗及温升抑制研究[J].机械工程学报，2022,58(21):243-249.LAN T,FENG P F,ZHANG J F,et al.Research on eddy current loss and temperature rise suppression of giant magnetostrictive transducers[J].Chinese Journal of Mechanical Engineering,2022,58(21):243-249.(in Chinese)
• [6] 刘强，李婧，张雄伟，等.超磁致伸缩换能器设计及其涡流损耗分析[J].陕西师范大学学报(自然科学版),2022,50(6):64-68.LIU Q,LI J,ZHANG X W,et al.Design of giant magnetostrictive transducer and analysis of eddy current loss[J].Journal of Shanxi Normal University (Natural Science Edition),2022,50(6):64-68.(in Chinese)
• [7] DANIAL G,HOSSEIN M A,ABBAS R,et al.The influence of coil parameters and core lamination factor on the performance of an ultrasonic transducer with a tapered core[J].International Journal of Numerical Modelling:Electronic Networks,Devices and Fields,2022,35(6):1-16.
• [8] 张晴，倪敏，郑源明，等.高频通电导线间电磁感应及趋肤效应系列实验研究[J].大学物理，2015,34(3):56-59.ZHANG Q,NI M,ZHENG Y M,et al.A Series of experimental studies on electromagnetic induction and skin effect between high-frequency conducting wires[J].College.(in Chinese)
• [9] 旷建军，阮新波，任小永.集肤和邻近效应对平面磁性元件绕组损耗影响的分析[J].中国电机工程学报，2006(5):170-175.KUANG J J,RUAN X B,REN X Y.Analysis of the impact of skin and proximity effects on winding losses in planar magnetic components[J].Proceedings of the CSEE,2006(5):170-175.(in Chinese)
• [10] 钟定清，王艾伦，何谦.含铜损和铁损交流电力测功机的扭矩软测量模型(英文)[J].Journal of Central South University,2019,26(8):2272-2280.ZHONG D Q,WANG A L,HE Q.A soft measurement model for torque of AC electric power test rigs considering copper loss and iron loss[J].Journal of Central South University,2019,26(8):2272-2280.(in Chinese)
• [11] 赵子安，王一帆，李凤姣，等.考虑铁损的同步磁阻电机最小损耗控制策略[J].电机与控制学报，2023,27(11):1-9.ZHAO Z A,WANG Y F,LI F J,et al.minimum loss control strategy for synchronous reluctance motors considering iron losses[J].Electric Machinesand Control,2023,27(11):1-9.(in Chinese)
• [12] 邹震，陈龙，贲彤，等.考虑磁滞与谐波特性的开关磁阻电机铁损分析[J].电工电能新技术，2023,42(5):14-24.ZOU Z,CHEN L,BEN T,et al.Analysis of core loss in switched reluctance motors considering hysteresis and harmonic characteristics[J].Advanced Technology of Electrical Engineering and Energy,2023,42(5):14-24.(in Chinese)
• [13] 林巨广，陈聪，王登峰.考虑铁损的永磁同步电机谐波抑制策略[J].合肥工业大学学报(自然科学版),2023,46(2):145-151.LIN J G,CHEN C,WANG D F.Harmonic suppression strategy for permanent magnet synchronous motors considering iron losses[J].Journal of Hefei University of Technology (Natural Science Edition),2023,46(2):145-151.(in Chinese)
• [14] ANGARA R.High frequency high amplitude magnetic field driving system form magnetostrictive actuators[D].Lincoln.University of Nebraska,2009.
• [15] 黄艺英，曾江.基于有限元法的谐波作用对电缆及其接头的影响研究[J].电测与仪表，2024,61(1):52-58.HUANG Y Y,ZENG J.Research on the impact of harmonic effects on cablesand their joints based on the finite element method[J].Electrical Measurement & Instrumentation,2024,61(1):52-58.(in Chinese)
• [16] 赵莉华，吴迅，王泽龙，等.基于线圈电流的断路器操作机构仿真研究[J].电测与仪表，2020,57(12):9-13.ZHAO L H,WU X,WANG Z L,et al.Simulation research on the operating mechanism of circuit breakers based on coil current[J].ElectricalMeasurement & Instrumentation,2020,57(12):9-13.(in Chinese)
• [17] Eddy currents in multilayer coils Igor N.Gorbatyy and Iana P.Zhura[J].American Journal of Physics,2021,89(3):284-290.
• [18] 张海军，邓斯达，陈湛，等.RLC串联谐振电路的幅频特性研究[J].物理实验，2020,40(10):17-21.ZHANG H J,DENG S D,CHEN Z,et al.Research on the amplitude-frequency characteristics of RLC series resonant circuits[J].Physics Experiment,2020,40(10):17-21.(in Chinese)
• [19] HIRANO T.Relationship between Q factor and complex resonant frequency:investigations using RLC series circuit[J].IEICE Electronics Express,2017,14(21):20170941-20170941.
• [20] 王楠，钱浩媛，闫夙，等.RLC串联谐振电路中总损耗电阻的一种估算方法[J].大学物理实验，2021,34(6):40-44.WANG N,QIAN H Y,YAN S,et al.An estimation method for the total lossresistance in RLC series resonant circuits[J].College Physics Experiments,2021,34(6):40-44.(in Chinese)
• [21] 陆文骏，王鑫，陆磊，等.用RLC自动电桥测量耦合线圈匝比、残余阻抗及CT误差[J].电测与仪表，2000(1):23-25,40.LU W J,WANG X,LU L,et al.Measurement of coupling ratio,residual impedance,and CT error of coupled coils using an RLC automatic bridge[J].Electrical Measurement & Instrumentation,2000(1):23-25,40.(in Chinese)