{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T10:01:10Z","timestamp":1790071270075,"version":"4.0.1"},"reference-count":31,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2026,9,17]],"date-time":"2026-09-17T00:00:00Z","timestamp":1789603200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Electromagnetic vibration and noise issues of converter transformers under harmonic operating conditions have become increasingly prominent. To enable a systematic comparison of different filtering strategies, this paper establishes a multiphysical field coupling model incorporating electromagnetic, structural, and acoustic fields, and systematically investigates four filtering configurations: grid-side LC filtering, valve-side LC filtering, inductive filtering, and valve-side capacitive filtering through theoretical analysis, finite-element simulation, and experimental verification on a 12-pulse laboratory HVDC prototype platform. The simulation results show that the maximum vibration acceleration decreases from 3.06 m\/s2 under the no-filter condition to 1.02 m\/s2 under valve-side capacitive filtering. Experimental measurements further confirm the suppression effect, with the vibration acceleration at Point 8 decreasing from 2.28 m\/s2 to 0.42 m\/s2, corresponding to a reduction of approximately 82%, while the average A-weighted sound pressure level decreases from 66.1 dB to 58.1 dB. These results indicate that vibration and noise suppression cannot be evaluated solely by total harmonic distortion; the attenuation and distribution of individual harmonic components should also be considered. The findings provide a theoretical and engineering basis for the vibration and noise reduction design of converter transformers.<\/jats:p>","DOI":"10.3390\/s26185903","type":"journal-article","created":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T09:04:17Z","timestamp":1790067857000},"page":"5903","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Study on the Suppression Mechanism of Vibration and Noise in Converter Transformers Under Multi-Physical Field Coupling Using Different Filtering Strategies"],"prefix":"10.3390","volume":"26","author":[{"given":"Yuzhuo","family":"Wang","sequence":"first","affiliation":[{"name":"School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410114, China"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"writing-original-draft","vocabulary":"credit"},{"role":"conceptualization","vocabulary":"credit"},{"role":"methodology","vocabulary":"credit"},{"role":"software","vocabulary":"credit"},{"role":"validation","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"}]},{"given":"Liwei","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410114, China"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"methodology","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"}]},{"given":"Sheng","family":"Xiang","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410114, China"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"software","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]}],"member":"1968","published-online":{"date-parts":[[2026,9,17]]},"reference":[{"key":"ref_1","first-page":"103925","article-title":"Challenges and opportunities for long-distance renewable energy transmission in China","volume":"69","author":"Qin","year":"2024","journal-title":"Sustain. Energy Technol. Assess."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1034","DOI":"10.1109\/28.62384","article-title":"Harmonics-causes, effects, measurements, and analysis: An update","volume":"26","author":"Subjak","year":"2002","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.apacoust.2017.05.020","article-title":"Noise and vibration of a power transformer under an electrical excitation","volume":"128","author":"Bouayed","year":"2017","journal-title":"Appl. Acoust."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1835","DOI":"10.1109\/TPWRD.2012.2205409","article-title":"Vibration and audible noise characteristics of AC transformer caused by HVDC system under monopole operation","volume":"27","author":"He","year":"2012","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Jiang, P., Zhang, Z., Dong, Z., and Yang, Y. (2022). Vibration measurement and numerical modeling analysis of transformer windings and iron cores based on voltage and current harmonics. Machines, 10.","DOI":"10.3390\/machines10090786"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Fang, Q., Ye, Z., and Chen, C. (2024). A review of power transformer vibration and noise caused by silicon steel magnetostriction. Electronics, 13.","DOI":"10.3390\/electronics13050968"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4391592","DOI":"10.1155\/apec\/4391592","article-title":"Study of Transformer Core Vibration Considering Magnetostrictive Anisotropy","volume":"2025","author":"Zhang","year":"2025","journal-title":"Act. Passiv. Electron. Compon."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Ge, H., Xu, T., Mu, J., Cheng, L., Chen, N., Ge, L., and Du, X. (2025). Quantification of Transient Voltage Rise in UHVDC Sending End Power Grid Under Commutation Failure. Electronics, 14.","DOI":"10.3390\/electronics14244855"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"e70118","DOI":"10.1049\/gtd2.70118","article-title":"Research on Vibration and Noise of Converter Transformer Based on LCL Converter","volume":"19","author":"Zhao","year":"2025","journal-title":"IET Gener. Transm. Distrib."},{"key":"ref_10","unstructured":"Zhang, F. (2012). Ultra-Low Power Circuit and System Design for Deployable Body-Worn Devices, University of Washington."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"151554","DOI":"10.1109\/ACCESS.2024.3477729","article-title":"Complexities of power quality and harmonic-induced overheating in modern power grids studies: Challenges and solutions","volume":"12","author":"Ali","year":"2024","journal-title":"IEEE Access"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2618","DOI":"10.1109\/TPEL.2025.3611830","article-title":"Passivity-based zero-sequence LC resonance suppression method for parallel inverters system with modified LCL filter","volume":"41","author":"Zhang","year":"2025","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1109\/TPWRD.2021.3068411","article-title":"The use of the hybrid active power filter in LCC-HVDC considering the delay-dependent stability","volume":"37","author":"Du","year":"2021","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1109\/TPWRD.2024.3495706","article-title":"Parameter optimization method for AC filters in HVDC considering reactive power compensation effectiveness","volume":"40","author":"Lin","year":"2024","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"8015","DOI":"10.1109\/TPEL.2022.3144279","article-title":"An inductive-filtering strategy of submodule ripple-power in triple-port MMC-based SST applied to hybrid medium and low voltage AC\/DC interface","volume":"37","author":"Teng","year":"2022","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1109\/TIE.2011.2161245","article-title":"An industrial DC power supply system based on an inductive filtering method","volume":"59","author":"Li","year":"2011","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1109\/JMW.2020.3028643","article-title":"Emerging trends in techniques and technology as applied to filter design","volume":"1","author":"Snyder","year":"2021","journal-title":"IEEE J. Microw."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1109\/TPWRD.2011.2174164","article-title":"Electromagnetic vibration analysis of the winding of a new HVDC converter transformer","volume":"27","author":"Shao","year":"2011","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"5507","DOI":"10.1109\/TPWRS.2018.2800666","article-title":"AC filterless flexible LCC HVDC with reduced voltage rating of controllable capacitors","volume":"33","author":"Xue","year":"2018","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1109\/TPWRS.2016.2557342","article-title":"Reactive power and AC voltage control of LCC HVDC system with controllable capacitors","volume":"32","author":"Xue","year":"2016","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"735","DOI":"10.35833\/MPCE.2025.000242","article-title":"Maximizing Dynamic Voltage Support Capability of LCC-HVDC Systems Under Transient Voltage Disturbances","volume":"14","author":"Xie","year":"2026","journal-title":"J. Mod. Power Syst. Clean Energy"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"78634","DOI":"10.1109\/ACCESS.2022.3190006","article-title":"Capacitive filter based HVDC converter for reducing the vibration and noise of converter transformer","volume":"10","author":"Zhao","year":"2022","journal-title":"IEEE Access"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s42417-025-01881-y","article-title":"An Adaptive-switching Fuzzy Structural Vibration Control System: Theory and Experiment","volume":"13","author":"Zhang","year":"2025","journal-title":"J. Vib. Eng. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Wang, H., Wu, X., Dong, D., Wang, D., Zhang, Z., and Zhang, L. (2022, January 8\u201311). Research on Multi Field Coupling Finite Element Modeling of Converter Transformer Core Structure. Proceedings of the 2022 IEEE\/IAS Industrial and Commercial Power System Asia (I&CPS Asia), Shanghai, China.","DOI":"10.1109\/ICPSAsia55496.2022.9949756"},{"key":"ref_25","first-page":"1","article-title":"Coupled Magnetic-Structural Modeling of Power Transformer for Axial Vibration Analysis Under Short-Circuit Condition","volume":"58","author":"Jin","year":"2022","journal-title":"IEEE Trans. Magn."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2387","DOI":"10.1109\/TPWRD.2023.3242266","article-title":"A Mechanical-Electromagnetic Coupling Model of Transformer Windings and Its Application in the Vibration-Based Condition Monitoring","volume":"38","author":"Wu","year":"2023","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Louie, K.W., Wilson, P., Wachal, R.W., Wang, A., and Buchanan, P. (2006, January 22\u201326). HVDC power system harmonic analysis in the time and frequency domains. Proceedings of the 2006 International Conference on Power System Technology, Chongqing, China.","DOI":"10.1109\/ICPST.2006.321952"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1016\/S0020-7462(02)00052-5","article-title":"Non-linear constitutive relations for magnetostrictive materials","volume":"38","author":"Wan","year":"2003","journal-title":"Int. J. Non-Linear Mech."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Kersting, W.H. (2012). Distribution System Modeling and Analysis, CRC Press.","DOI":"10.1201\/b12056-31"},{"key":"ref_30","unstructured":"(2022). Power Transformers\u2014Part 10: Determination of Sound Levels (Standard No. GB\/T 1094.10-2022)."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Lu, Y., Jiang, T., Qiu, P., Zhang, X., and Chen, Q. (2025, January 24\u201326). Research on Electromagnetic-Vibration Characteristics and the Measurement System of Converter Transformers. Proceedings of the 2025 4th Asian Conference on Frontiers of Power and Energy (ACFPE), Chengdu, China.","DOI":"10.1109\/ACFPE67232.2025.11451072"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/26\/18\/5903\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T09:10:41Z","timestamp":1790068241000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/26\/18\/5903"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9,17]]},"references-count":31,"journal-issue":{"issue":"18","published-online":{"date-parts":[[2026,9]]}},"alternative-id":["s26185903"],"URL":"https:\/\/doi.org\/10.3390\/s26185903","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,9,17]]}}}