Nonlinear Suppression and Efficiency Improvement of Electromagnetic Acoustic Transducers: A Permanent Magnet Bias Design
Liu Jiefeng1, Liu Weicheng1, Gao Bing2, Xu Qianming2, Zhao Xinzhe2
1. Department of Electrical Engineering Guangxi University Nanning 530004 China; 2. State Key Laboratory of High-Efficiency and High-Quality Conversion for Electric Power Hunan University Changsha 410082 China
Abstract:Electromagnetic transducers (EMTs) are widely used in underwater acoustics and marine geophysical exploration. However, traditional EMT designs often suffer from input-output frequency-doubling effects, which lead to additional core losses, reduced energy efficiency, and shortened service life. To address this issue, this study draws inspiration from the structure of permanent-magnet motors and proposes a topologically optimized permanent-magnet configuration integrated into the excitation magnetic circuit. By adjusting the flux path and biasing the magnetic field distribution, the system achieves synchronized input-output response under rated operating conditions. A dynamic modeling method is developed to analyze the distributed permanent- magnet bias field, and zonal magnetic-circuit analysis is employed to quantitatively evaluate the influence of local bias gain on output performance. Based on the topological structure of permanent magnet motors, this study embeds a spatially optimized permanent magnet array into the EI-type excitation magnetic circuit to construct a static bias magnetic field system. This design can stably constrain the transducer's operating point within the single-quadrant magnetization range, thus fundamentally suppressing the frequency-doubling effect. To clarify the regulatory mechanism of permanent magnets on transducer performance, an electromagnetic-mechanical multi-field-coupled dynamic model is established to analyze the bias gain characteristics of permanent magnets across different regions (the coil bottom, magnetic pole air gap, and slot) and their influence on the transducer's output consistency. Although introducing permanent magnets into the traditional excitation structure can effectively optimize the magnetic field distribution, it also introduces additional problems, such as increased magnetic resistance. Accordingly, the model comprehensively incorporates key factors, including nonlinear magnetic- circuit characteristics, dynamic air-gap fluctuations, and magnetic leakage losses. The size parameters, spatial arrangement, and magnetization direction of permanent magnets are optimized using a multi-objective optimization algorithm. Two types of EMT prototypes (a traditional non-permanent-magnet structure and a permanent-magnet bias structure) were designed and developed, with comparative testing conducted in both laboratory and natural lake environments. Results demonstrate that the permanent-magnet bias structure achieves input-output synchronization under all operating conditions, with total harmonic distortion of the output waveform below 3%. Under identical input power, mechanical output displacement increases from 0.746 mm to 0.846 mm—a 13.4% gain—while dynamic driving force significantly exceeds the 133 N upper limit of the conventional structure. The following conclusions are drawn. (1) Under the permanent magnet biased configuration, significant differences exist in magnetic field gain across different spatial regions. The gain level at the coil base is the lowest; the dynamic magnetic force of the permanent-magnet gain-type structure is significantly higher than that of the traditional structure (133 N). (2) Optimizing the arrangement of permanent magnets realizes input-output synchronization characteristics, and the Total Harmonic Distortion (THD) of the output waveform is less than 3%. (3) At the equivalent power level, the maximum output displacement increases from 0.764 mm to 0.903 mm, resulting in a 5.11% improvement in mechanical efficiency in the laboratory static water environment. In the natural lake environment, the maximum output displacement increases from 0.746 mm to 0.864 mm with a 3.4% improvement in mechanical efficiency.
[1] 国务院. 国家重大科技基础设施建设中长期规划(2012-2030年)[R]. 北京: 国务院, 2013. [2] 卢苇. 大功率甚低频水下声源研究[D]. 哈尔滨: 哈尔滨工程大学, 2011. Lu Wei.The study of high-power ultra low frequency underwater sound sources[D]. Harbin: Harbin Engineering University, 2011. [3] 卢苇, 蓝宇, 张振铎. 双活塞大功率电磁式超低频水下声源[C]//中国声学学会水声学分会2019年学术会议论文集, 哈尔滨, 2019: 508-510. Lu Wei, Lan Yu, Zhang Zhenduo.Dual-piston high- power electromagnetic ultra-low-frequency under- water sound source[C]//Proceedings of the 2019 Academic Conference of the Underwater Acoustics Branch, Chinese Acoustical Society, Harbin, 2019: 508-510. [4] 董明, 李航辉, 马宏伟, 等. 高纯度横波蝶形线圈电磁超声换能器优化设计[J]. 电工技术学报, 2024, 39(11): 3270-3279. Dong Ming, Li Hanghui, Ma Hongwei, et al.Opti- mization design of high-purity shear wave electro- magnetic acoustic transducer with butterfly coil[J]. Transactions of China Electrotechnical Society, 2024, 39(11): 3270-3279. [5] 石文泽, 李淇鑫, 卢超, 等. 基于Barker码脉冲压缩技术的钢板多阵元Lamb波电磁超声换能器设计与优化[J]. 电工技术学报, 2024, 39(8): 2371-2387. Shi Wenze, Li Qixin, Lu Chao, et al.Design and optimization of multi-array Lamb wave EMAT for steel plates based on Barker code pulse compression technology[J]. Transactions of China Electrotechnical Society, 2024, 39(8): 2371-2387. [6] Xiang L, Dixon S, Thring C B, et al.Lift-off performance of electromagnetic acoustic transducers (EMATs) for surface acoustic wave generation[J]. NDT & E International, 2022, 126: 102576. [7] 杨明智, 王文彬, 吴萌, 等. 超低频电磁换能器研究现状及关键技术分析[J]. 数字海洋与水下攻防, 2024, 7(4): 426-435. Yang Mingzhi, Wang Wenbin, Wu Meng, et al.Research status and key technology analysis of ultra-low frequency electromagnetic transducers[J]. Digital Ocean & Underwater Warfare, 2024, 7(4): 426-435. [8] 高伟. 动磁式超低频换能器研究[D]. 哈尔滨: 哈尔滨工程大学, 2019. Gao Wei.The study of moving magnet ultra low frequency transducer[D]. Harbin: Harbin Engineering University, 2019. [9] Zhu Suming, Zhu Huangqiu.Suspension force control of bearingless permanent magnet slice motor based on flux linkage identification[J]. ISA Transactions, 2015, 57: 322-328. [10] 吴胜男, 顾少聪, 佟文明. 表贴式高速永磁电机电磁振动抑制方法研究[J]. 电机与控制学报, 2025, 29(8): 70-81. Wu Shengnan, Gu Shaocong, Tong Wenming.Research for electromagnetic vibration suppression methods of surface-mounted high-speed permanent magnet motor[J]. Electric Machines and Control, 2025, 29(8): 70-81. [11] 孙庆国, 吕广宇, 刘旭, 等. 基于电流平方量约束的新型开关磁阻电机转矩调制方法[J]. 电工技术学报, 2024, 39(24): 7742-7751. Sun Qingguo, Lü Guangyu, Liu Xu, et al.Novel torque modulation method for switched reluctance motor based on current squared constraints[J]. Transactions of China Electrotechnical Society, 2024, 39(24): 7742-7751. [12] Zhang Xiaoli, Feng Xiujuan, Niu Feng, et al.Portable in-situ multi-frequency sound calibrator with wide- band balanced armature driver and distortion suppression technology[J]. Applied Acoustics, 2025, 238: 110793. [13] Sen A, Singh B, Mahtani K, et al.Optimized design of a permanent magnet brushless DC motor for solar water-pumping applications[J]. Results in Engineering, 2025, 26: 104633. [14] Guo Hao, Ju Feng, Cao Yanfei, et al.Continuum robot shape estimation using permanent magnets and magnetic sensors[J]. Sensors and Actuators A: Physical, 2019, 285: 519-530. [15] Wang Zheren, Wang Shiyu, Liu Jinlong.Mechanical- magnetic coupling vibration instability of an annular rotor subjected to synchronous load in axial-flux permanent magnet motors[J]. Journal of Sound and Vibration, 2020, 486: 115535. [16] Dutton B, Boonsang S, Dewhurst R J.Modelling of magnetic fields to enhance the performance of an in-plane EMAT for laser-generated ultrasound[J]. Ultrasonics, 2006, 44: e657-e665. [17] 陈阳, 陶大军, 戈宝军, 等. 双并列转子永磁同步电机设计与分析[J]. 电工技术学报, 2026, 41(2): 442-456. Chen Yang, Tao Dajun, Ge Baojun, et al.Design and analysis of dual-parallel rotor permanent magnet synchronous motor[J]. Transactions of China Elec- trotechnical Society, 2026, 41(2): 442-456. [18] Ma Kai, Sun Yanchao, Niu Jichen, et al.Design and optimization of high-speed five-phase fault-tolerant permanent magnet motor for aerospace applications[J]. IEEE Transactions on Industry Applications, 2025, 61(4): 6327-6335. [19] Faiz J, Hassanzadeh M, Kiyoumarsi A.Analytical calculation of magnetic field in surface-mounted permanent-magnet machines with air-gap eccentri- city[J]. COM-PEL-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2019, 38(2): 893-914. [20] Murayama R, Akizuki Y.Study of magnetic pole materials for static magnetic field and dynamic magnetic field that compose an electromagnetic acoustic transducer for Lamb waves using the magnetostriction effect[J]. Sensors and Actuators A: Physical, 2022, 333: 113294. [21] Dong Xianglong, Ma Ziji, Jiang Zhiwen, et al.Effect of bias magnetic field on transducer efficiency in electromagnetic ultrasonic non-destructive testing of Rock bolt[J]. Sensors and Actuators A: Physical, 2024, 375: 115532. [22] Zhou Chaobiao, Xiao Shuyuan, Zhang Cong, et al.Influence of Dzyaloshinskii-Moriya interaction on measurement-induced disturbance in a mixed-spin Heisenberg XXZ model with an inhomogeneous magnetic field[J]. Physica B: Condensed Matter, 2015, 477: 40-44. [23] Liu Zenghua, Li Aili, Zhang Yongchen, et al.Development of a directional magnetic-concentrator- type electromagnetic acoustic transducer for ultrasonic guided wave inspection[J]. Sensors and Actuators A: Physical, 2020, 303: 111859. [24] 高兵, 吴泽伟, 赵能桐, 等. 基于AFSA-eCS混合算法的超磁致伸缩换能器输出特性分析[J]. 电工技术学报, 2025, 40(2): 346-357. Gao Bing, Wu Zewei, Zhao Nengtong, et al.Analysis of output characteristics of giant magnetostrictive transducers based on AFSA-eCS hybrid algorithm[J]. Transactions of China Electrotechnical Society, 2025, 40(2): 346-357.