A low-frequency sound absorption structure easily manufactured by machine for transformers noise
Abstract
Many tonal noises existing in environment have high annoyance degree. It is necessary to develop acoustic materials for targeted absorption of tonal noise in order to reduce its impact. As the primary noise source in substations, transformers emit low-frequency noise with distinct tonal characteristics. According to basic constraints of materials in substations, such as fire resistance, weather resistance, and easy manufacturability by machine, a sound absorption metamaterial (SAM) is developed for absorption of noise from 110 kV transformers in this study. SAM is an aluminum alloy flat plate formed by topological arranging several basic sound absorption units on a plane. Each basic unit consists of two Helmholtz resonators stacked vertically, both of which have an inserted duct. Acoustic performance of SAM is studied by theoretical analysis, numerical simulation, and experimental measurement. Analysis results showed that ratios of its surface acoustic impedance to air acoustic impedance at two resonant frequencies of 100 Hz and 200 Hz were close to 1. Measurement results indicated that sound absorption coefficients respectively reached 0.93 and 0.90 in the normal incident sound field, reached 0.83 and 0.88 in the diffuse sound field. Moreover, the fire resistance grade of SAM reached A1 level, which indicated it was completely non-combustible. Laying SAM on reflective surfaces of structures such as transformer firewalls can reduce the impact of low-frequency noise.
Copyright (c) 2026 Ke Xu, Kanyu Wang, Qinhao Lin, Guoqing Di

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
[1]Miao XH, Jiang P, Pang FZ, et al. Numerical analysis and experimental research of vibration and noise characteristics of oil-immersed power transformers. Applied Acoustics. 2023; 203: 109189. doi: 10.1016/j.apacoust.2022.109189
[2]Di GQ, Chen XW, Song K, et al. Improvement of Zwicker's psychoacoustic annoyance model aiming at tonal noises. Applied Acoustics. 2016; 105: 164–170. doi: 10.1016/j.apacoust.2015.12.006
[3]Joseph P, Chaitanya P, Elliott S, et al. Propeller tonal noise reductions through synchrophasing: Mechanisms and performance. Journal of Sound and Vibration. 2025; 610: 119110. doi: 10.1016/j.jsv.2025.119110
[4]van den Berg F, Koppen E, Boon J, et al. Sound power of onshore wind turbines and its spectral distribution. Sound and Vibration. 2025; 59: 1716. doi: 10.59400/sv1716
[5]Liu QC, Yu WJ, Cheng G. Adaptive narrowband compensation algorithm for active control of the pressure pulsation line spectrum in a liquid pipeline system. Shock and Vibration. 2025; 2025: 9079090. doi: 10.1155/vib/9079090
[6]Li H, Chen KA, Li H, et al. Annoyance suppression effect of narrow-band color noises and water sounds on low-frequency tonal noise. Acoustics Australia. 2024; 52: 41–55. doi: 10.1007/s40857-023-00312-w
[7]Doleschal F, Verhey JL. Pleasantness and magnitude of tonal content of electric vehicle interior sounds containing subharmonics. Applied Acoustics. 2022; 185: 108442. doi: 10.1016/j.apacoust.2021.108442
[8]Azuma D, Hasegawa R. Audible noise from amorphous metal and silicon steel-based transformer core. IEEE Transactions on Magnetics. 2008; 44: 4104–4106. doi: 10.1109/TMAG.2008.2003174
[9]Chaitanya P, Joseph P, Narayanan S, et al. Performance and mechanism of sinusoidal leading edge serrations for the reduction of turbulence-aerofoil interaction noise. Journal of Fluid Mechanics. 2017; 818: 435–464. doi: 10.1017/jfm.2017.141
[10]Khamis M, Zhang S, Ibrahim S. A Synchronized Filter-s Least Mean Square (SFsLMS) algorithm for multi-channel ANC in aviation noise suppression. Applied Acoustics. 2025; 231: 110552. doi: 10.1016/j.apacoust.2025.110552
[11]Lee HM, Hua YT, Wang ZM, et al. A review of the application of active noise control technologies on windows: Challenges and limitations. Applied Acoustics. 2021; 174: 107753. doi: 10.1016/j.apacoust.2020.107753
[12]Chu YJ, Mak CM, Zhao Y, et al. Performance analysis of a diffusion control method for ANC systems and the network design. Journal of Sound and Vibration. 2020; 475: 115273. doi: 10.1016/j.jsv.2020.115273
[13]Kong WM, Zhang J, Liu PQ. Aerodynamic noise simulation of porous medium-coated cylinder: Broadband hump noise mechanism and effects of permeability and pores distribution on tonal noise. Journal of Sound and Vibration. 2025; 607: 119046. doi: 10.1016/j.jsv.2025.119046
[14]Kong WF, Fu T. A novel butterfly double-panel metastructure filled with porous materials for broadband low-frequency sound absorption. Journal of Building Engineering. 2024; 97: 110935. doi: 10.1016/j.jobe.2024.110935
[15]Ozturk S, Erol H. Acoustic multi-objective optimization of porous media properties of a diesel particulate filter. Sound and Vibration. 2025; 59: 1805. doi: 10.59400/sv1805
[16]Wang DZ, Xiao Y, Wang SX, et al. Ultra-broadband sound-absorbing metastructure with Helmholtz resonator and porous material modulation crown. Materials and Design. 2024; 246: 113351. doi: 10.1016/j.matdes.2024.113351
[17]Zheng MY, Chen C, Li XD. Ultra-broadband and nonlinear robust sound absorption based on ultra-microperforated panel. Journal of Sound and Vibration. 2024; 575: 118262. doi: 10.1016/j.jsv.2024.118262
[18]Li YL, Lin YM, Yao S, et al. Low-frequency broadband sound absorption of the metastructure with extended tube resonators and porous materials. Applied Acoustics. 2024; 217: 109827. doi: 10.1016/j.apacoust.2023.109827
[19]Zhang WT, Xin FX. Broadband low-frequency sound absorption via Helmholtz resonators with porous material lining. Journal of Sound and Vibration. 2024; 578: 118330. doi: 10.1016/j.jsv.2024.118330
[20]Lin QH, Shi JH, Zhang J, et al. Spectrum-driven acoustic metasurface for broadband noise control. Results in Physics. 2024; 61: 107725. doi: 10.1016/j.rinp.2024.107725
[21]Sharafkhani N. A Helmholtz resonator-based acoustic metamaterial for power transformer noise control. Acoustics Australia. 2022; 50: 71–77. doi: 10.1007/s40857-021-00256-z
[22]Zhang L, Zhang WT, Xin FX. Broadband low-frequency sound absorption of honeycomb sandwich panels with rough embedded necks. Mechanical Systems and Signal Processing. 2023; 196: 110311. doi: 10.1016/j.ymssp.2023.110311
[23]Bi SH, Wang ES, Shen XM, et al. Enhancement of sound absorption performance of Helmholtz resonators by space division and chamber grouping. Applied Acoustics. 2023; 207: 109352. doi: 10.1016/j.apacoust.2023.109352
[24]Huang SB, Fang XS, Wang X, et al. Acoustic perfect absorbers via Helmholtz resonators with embedded apertures. The Journal of the Acoustical Society of America. 2019; 145: 254–262. doi: 10.1121/1.5087128
[25]Guo JW, Fang Y, Jiang ZY, et al. An investigation on noise attenuation by acoustic liner constructed by Helmholtz resonators with extended necks. Journal of the Acoustical Society of America. 2021; 149: 70–81. doi: 10.1121/10.0002990
[26]Shi QQ, Zhang X, Luo L, et al. Viscoelastic material enhancement of underwater sound absorption in higher-order resonators: From low-frequency to ultra-broadband. Physics Letters A. 2024; 525: 129932. doi: 10.1016/j.physleta.2024.129932
[27]Zhao YM, Guo ZC, Ye J, et al. 3D Printed multilayer overlapping resonators for low-frequency broadband sound absorption: Mechanism analysis and corresponding modified theoretical method. Virtual and Physical Prototyping. 2025; 20: 1. doi: 10.1080/17452759.2025.2455540
[28]Gori P, Guattari C, Evangelisti L, et al. Layered acoustic structures with equally phased elements. Acoustics. 2025; 7: 12. doi: 10.3390/acoustics7010012
[29]Fang BW, Feng PC, Zhang R, et al. Low-frequency broadband acoustic metamaterial absorber based on nested resonator and synergistic coupled weak resonances. Engineering Structures. 2024; 319: 118825. doi: 10.1016/j.engstruct.2024.118825
[30]Liang MT, Wu HG, Ibarias M, et al. Subwavelength metasurfaces for quasi-omnidirectional broadband sound absorption at low frequencies. Thin-Walled Structures. 2025; 215: 113591. doi: 10.1016/j.tws.2025.113591
[31]Leissa AW. The free vibration of rectangular plates. Journal of Sound and Vibration. 1973; 31: 257–293. doi: 10.1016/S0022-460X(73)80371-2
[32]Lee DH, Kwon YP. Estimation of the absorption performance of multiple layer perforated panel systems by transfer matrix method. Journal of Sound and Vibration. 2004; 278: 847–860. doi: 10.1016/j.jsv.2003.10.017
[33]Stinson MR. The propagation of plane sound waves in narrow and wide circular tubes, and generalization to uniform tubes of arbitrary cross-sectional shape. Journal of the Acoustical Society of America. 1991; 89: 550–558. doi: 10.1121/1.400379
[34]Ingard U. On the theory and design of acoustic resonators. Journal of the Acoustical Society of America. 1953; 25: 1037–1061. doi: 10.1121/1.1907235
[35]Lin QH, Di GQ. A high-performance sound insulation component for filter capacitors based on coiled-up acoustic metamaterials. Physica Status Solidi A. 2022; 219: 2200125. doi: 10.1002/pssa.202200125
[36]Mahjoob MJ, Mohammadi N, Malakooti S. An investigation into the acoustic insulation of triple-layered panels containing Newtonian fluids: Theory and experiment. Applied Acoustics. 2009; 70: 165–171. doi: 10.1016/j.apacoust.2007.12.002
[37]Ji J, Li DT, Li Y, et al. Low-frequency broadband acoustic metasurface absorbing panels. Frontiers in Mechanical Engineering. 2020; 6: 586249. doi: 10.3389/fmech.2020.586249




