{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T18:26:22Z","timestamp":1770229582596,"version":"3.49.0"},"reference-count":27,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T00:00:00Z","timestamp":1713139200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Chinese National Natural Science Foundation","award":["51677128"],"award-info":[{"award-number":["51677128"]}]},{"name":"Chinese National Natural Science Foundation","award":["19YFHBQY00030"],"award-info":[{"award-number":["19YFHBQY00030"]}]},{"name":"Chinese National Natural Science Foundation","award":["5108-202218280A-2-362-XG"],"award-info":[{"award-number":["5108-202218280A-2-362-XG"]}]},{"name":"Key Research and Development Program of Tianjin","award":["51677128"],"award-info":[{"award-number":["51677128"]}]},{"name":"Key Research and Development Program of Tianjin","award":["19YFHBQY00030"],"award-info":[{"award-number":["19YFHBQY00030"]}]},{"name":"Key Research and Development Program of Tianjin","award":["5108-202218280A-2-362-XG"],"award-info":[{"award-number":["5108-202218280A-2-362-XG"]}]},{"name":"Science and Technology Project of State Grid Corporation of China\u2019s \u2018Research on Multi-dimensional Perception and Emergency Repair Technology of AC Submarine Cable Operating State in Complex Offshore Environment\u2019","award":["51677128"],"award-info":[{"award-number":["51677128"]}]},{"name":"Science and Technology Project of State Grid Corporation of China\u2019s \u2018Research on Multi-dimensional Perception and Emergency Repair Technology of AC Submarine Cable Operating State in Complex Offshore Environment\u2019","award":["19YFHBQY00030"],"award-info":[{"award-number":["19YFHBQY00030"]}]},{"name":"Science and Technology Project of State Grid Corporation of China\u2019s \u2018Research on Multi-dimensional Perception and Emergency Repair Technology of AC Submarine Cable Operating State in Complex Offshore Environment\u2019","award":["5108-202218280A-2-362-XG"],"award-info":[{"award-number":["5108-202218280A-2-362-XG"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The state detection of power cables is very important to ensure the reliability of the power supply. Traditional sensors are mostly based on electric field detection. The operation is complex, and its efficiency needs to be improved. This paper optimizes the design and development of the magnetic field detection sensor for AC power cables. First, through the establishment of the magnetic field sensor model, it is determined that permalloy is the material of the magnetic core, the optimal aspect ratio of the magnetic core is 20, and the ratio of coil length to core length is 0.3. Second, the coil-simulation model is established, and it is determined that the optimal number of turns of the coil is 11,000 turns, the diameter of the enameled copper wire is 0.08 mm, and the equivalent magnetic field noise of the sensor is 0.06 pT. Finally, the amplifying circuit based on negative magnetic flux feedback is designed, the sensor is assembled, and the experimental circuit is built for the sensitivity test. The results show that the sensitivity of the magnetic field sensor is 327.6 mV\/\u03bcT. The sensor designed in this paper has the advantages of small size, high sensitivity, ease of carry, and high reliability.<\/jats:p>","DOI":"10.3390\/s24082528","type":"journal-article","created":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T08:08:12Z","timestamp":1713168492000},"page":"2528","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Optimal Design and Development of Magnetic Field Detection Sensor for AC Power Cable"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2042-9758","authenticated-orcid":false,"given":"Yong","family":"Liu","sequence":"first","affiliation":[{"name":"The Key Laboratory of Smart Energy and Information Technology of Tianjin Municipality, Tianjin University, Tianjin 300072, China"},{"name":"The Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China"}]},{"given":"Yuepeng","family":"Xin","sequence":"additional","affiliation":[{"name":"The Key Laboratory of Smart Energy and Information Technology of Tianjin Municipality, Tianjin University, Tianjin 300072, China"},{"name":"The Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China"}]},{"given":"Youcong","family":"Huang","sequence":"additional","affiliation":[{"name":"The State Grid Fujian Electric Power Research Institute, Fuzhou 350007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7500-1134","authenticated-orcid":false,"given":"Boxue","family":"Du","sequence":"additional","affiliation":[{"name":"The Key Laboratory of Smart Energy and Information Technology of Tianjin Municipality, Tianjin University, Tianjin 300072, China"},{"name":"The Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China"}]},{"given":"Xingwang","family":"Huang","sequence":"additional","affiliation":[{"name":"The State Grid Hebei Electric Power Research Institute, Shijiazhuang 050011, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2833-6599","authenticated-orcid":false,"given":"Jingang","family":"Su","sequence":"additional","affiliation":[{"name":"The State Grid Hebei Electric Power Research Institute, Shijiazhuang 050011, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TPWRD.2019.2916890","article-title":"Assessment of Electric Shock Hazard Coming from Earth Continuity Conductors in 110 kV Cable Lines","volume":"35","author":"Parol","year":"2020","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_2","first-page":"3459","article-title":"Design and Application of Online Monitoring System for Electrical Cable States","volume":"45","author":"Guo","year":"2019","journal-title":"High Volt. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3521510","DOI":"10.1109\/TIM.2021.3092514","article-title":"Fault Detection and Localization of Shielded Cable via Optimal Detection of Time-Frequency-Domain Reflectometry","volume":"70","author":"Lim","year":"2021","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"980","DOI":"10.1109\/JSEN.2021.3129845","article-title":"An Online Measuring Method for Tangent Delta of Power Cables Based on an Injected Very-Low-Frequency Signal","volume":"22","author":"Zhang","year":"2022","journal-title":"IEEE Sens. J."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1802","DOI":"10.1109\/TDEI.2021.009662","article-title":"Partial Discharge Signal Denoising with Recursive Continuous S-Shaped Algorithm in Cables","volume":"28","author":"Lu","year":"2021","journal-title":"IEEE Trans. Dielectr. Electr. Insul."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"9001308","DOI":"10.1109\/TIM.2023.3246483","article-title":"Distributed Discharge Detection Based on Improved COTDR Method with Dual Frequency Pulses","volume":"72","author":"Qin","year":"2023","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"9513314","DOI":"10.1109\/TIM.2021.3111982","article-title":"Nonintrusive Current Sensing for Multicore Cables Considering Inclination With Magnetic Field Measurement","volume":"70","author":"Liu","year":"2021","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"930","DOI":"10.1109\/TIE.2021.3051590","article-title":"Cable current detection with passive RF sensing tags","volume":"69","author":"Shao","year":"2021","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Suo, C., Cheng, K., Wang, L., Zhang, W., Liu, X., and Zhu, J.J.E. (2023). Non-Contact Measurement Method of Phase Current Based on Magnetic Field Decoupling Calculation for Three-Phase Four-Core Cable. Electronics, 12.","DOI":"10.3390\/electronics12061443"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1548","DOI":"10.1109\/TPWRD.2022.3217945","article-title":"Event-driven non-invasive multi-core cable current monitoring based on sensor array","volume":"38","author":"Zhu","year":"2022","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"13567","DOI":"10.1109\/TPEL.2023.3301505","article-title":"A Magnetic Flux Collection Enhanced Arc-Shaped Core and Its Optimal Coil Turn Design Method of Free-Standing Magnetic Field Energy Harvester","volume":"38","author":"Yang","year":"2023","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1109\/TIM.2018.2845478","article-title":"Sensitivity and Resolution Enhancement of Coupled-Core Fluxgate Magnetometer by Negative Feedback","volume":"68","author":"Li","year":"2019","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"0600305","DOI":"10.1109\/TASC.2017.2779750","article-title":"Measurement and Torque Calculation of Magnetic Spur Gear Based on Quasi 3-D Analytical Method","volume":"28","author":"Bang","year":"2018","journal-title":"IEEE Trans. Appl. Supercond."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"4183","DOI":"10.1109\/TIE.2019.2914574","article-title":"A New Calibration Method for Triaxial Fluxgate Magnetometer Based on Magnetic Shielding Room","volume":"67","author":"Pan","year":"2020","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2500204","DOI":"10.1109\/LSENS.2023.3240298","article-title":"Piezoinductive Effect in Piezoelectric Disk With Electrodes Due to Combination of Electromagnetic Induction and Piezoelectricity","volume":"7","author":"Fetisov","year":"2023","journal-title":"IEEE Sens. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"9000105","DOI":"10.1109\/TASC.2020.3032134","article-title":"A New Approach to Measure Magnetic Field of High-Temperature Superconducting Coil Based on Magneto-Optical Faraday Effect","volume":"31","author":"Jiang","year":"2021","journal-title":"IEEE Trans. Appl. Supercond."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Tang, X.L., Wang, X.H., Cattley, R., Gu, F.S., and Ball, A.D. (2018). Energy Harvesting Technologies for Achieving Self-Powered Wireless Sensor Networks in Machine Condition Monitoring: A Review. Sensors, 18.","DOI":"10.3390\/s18124113"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2757","DOI":"10.1109\/JSEN.2020.3025830","article-title":"High Sensitivity and Wide Range Soft Magnetic Tactile Sensor Based on Electromagnetic Induction","volume":"21","author":"Xie","year":"2021","journal-title":"IEEE Sens. J."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"7402705","DOI":"10.1109\/TMAG.2018.2839773","article-title":"Loss Simulation by Finite-Element Magnetic Field Analysis Considering Dielectric Effect and Magnetic Hysteresis in EI-Shaped Mn-Zn Ferrite Core","volume":"54","author":"Shimizu","year":"2018","journal-title":"IEEE Trans. Magn."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2801605","DOI":"10.1109\/TMAG.2018.2832662","article-title":"Fabrication and Evaluation of Composite Magnetic Core Using Iron-Based Amorphous Alloy Powder With Different Particle Size Distributions","volume":"54","author":"Yabu","year":"2018","journal-title":"IEEE Trans. Magn."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TMAG.2016.2620118","article-title":"Soft Magnetic Properties of Magnetic Cores Assembled with a High Fe-Based Nanocrystalline Alloy","volume":"53","author":"Ohta","year":"2017","journal-title":"IEEE Trans. Magn."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"4001504","DOI":"10.1109\/TMAG.2016.2526055","article-title":"A Passive Electric Current Sensor Based on Ferromagnetic Invariant Elastic Alloy, Piezoelectric Ceramic, and Permalloy Yoke","volume":"52","author":"He","year":"2016","journal-title":"IEEE Trans. Magn."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3614","DOI":"10.1109\/TMAG.2012.2199471","article-title":"Examination of Precise Measurement of DC Magnetic Properties of Permalloy Under Low Flux Density More Than a Few mT","volume":"48","author":"Mimura","year":"2012","journal-title":"IEEE Trans. Magn."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"035104","DOI":"10.1063\/5.0084376","article-title":"A new digital single-axis fluxgate magnetometer according to the cobalt-based amorphous effects","volume":"93","author":"Yang","year":"2022","journal-title":"Rev. Sci. Instrum."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Huang, X.W., Liu, Y., and Li, Q.R. (2021, January 11\u201315). Optimal design of magnetic field sensor for condition monitoring of high voltage power cable. Proceedings of the International Conference on Electrical Materials and Power Equipment (ICEMPE), Chongqing, China.","DOI":"10.1109\/ICEMPE51623.2021.9509244"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Song, J.L., Cao, R.Q., Jin, F., Dong, K.F., Mo, W.Q., and Hui, Y.J. (2021, January 4\u20137). Design and Optimization of Miniaturized Single Frequency Point Inductive Magnetic Sensor. Proceedings of the 2021 13th International Conference on Communication Software and Networks (ICCSN), Chongqing, China.","DOI":"10.1109\/ICCSN52437.2021.9463609"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1735","DOI":"10.1109\/TED.2017.2662070","article-title":"D-Shaped Fiber Magnetic-Field Sensor Based on Fine-Tuning Magnetic Fluid Grating Period","volume":"64","author":"Ying","year":"2017","journal-title":"IEEE Trans. Electron Devices"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/8\/2528\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:28:11Z","timestamp":1760106491000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/8\/2528"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,15]]},"references-count":27,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2024,4]]}},"alternative-id":["s24082528"],"URL":"https:\/\/doi.org\/10.3390\/s24082528","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,15]]}}}