{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T17:10:04Z","timestamp":1777050604896,"version":"3.51.4"},"reference-count":44,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,12]],"date-time":"2025-01-12T00:00:00Z","timestamp":1736640000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Ministry of Education\u2019s \u2018Chunhui Plan\u2019 Cooperative Research Project","award":["HZKY20220242"],"award-info":[{"award-number":["HZKY20220242"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The high penetration of distributed generation (DG) in the distribution system poses a challenge to the protection techniques and strategies of active distribution networks, making it difficult to adapt traditional methods to the fault diagnosis of the new power system. A method based on the improved subtractive optimiser algorithm for fault diagnosis is proposed to address this situation. Firstly, a fault localization model applicable to DG grid connection is constructed, which can effectively deal with the impact of the dynamic switching of DGs on the system and make up for the shortcomings of the traditional single-power network model; secondly, to solve the model, the original algorithm is improved using multi-strategy fusion, and the improved subtraction-average-based optimizer (ISABO) is obtained. Through the test of classical functions, its excellent solving performance and decoupling ability are verified; finally, the ISABO algorithm is applied to the 33-node test system to make it operate in various complex fault conditions. The results show that the ISABO algorithm is feasible in solving the fault location problem and can adapt to the connect\/disconnect state of the interconnection switch and the dynamic casting and cutting of multiple DGs. Compared with the original SABO algorithm, its positioning accuracy can always be maintained at 100%, and the positioning speed is increased by 46.68%, symmetrically improving positioning speed, positioning accuracy, and fault tolerance.<\/jats:p>","DOI":"10.3390\/sym17010107","type":"journal-article","created":{"date-parts":[[2025,1,13]],"date-time":"2025-01-13T04:01:52Z","timestamp":1736740912000},"page":"107","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Research on Fault Section Location in an Active Distribution Network Based on Improved Subtraction-Average-Based Optimizer"],"prefix":"10.3390","volume":"17","author":[{"given":"Jinjin","family":"Dai","sequence":"first","affiliation":[{"name":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401, China"},{"name":"Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300401, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ziyu","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401, China"},{"name":"Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300401, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8943-9578","authenticated-orcid":false,"given":"Shaoyong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lingling","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401, China"},{"name":"Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300401, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1881","DOI":"10.1109\/TPWRS.2023.3242715","article-title":"Graph Learning-Based Voltage Regulation in Distribution Networks with Multi-Microgrids","volume":"39","author":"Wang","year":"2024","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2801","DOI":"10.1109\/TPWRS.2023.3276008","article-title":"Microgrid Formation and Real-Time Scheduling of Active Distribution Networks Considering Source-Load Stochasticity","volume":"39","author":"Pang","year":"2024","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Zhang, S., Chen, H., Tang, J., Zhang, W.H., Zang, T.L., and Xiao, X.Y. (2022). Fault Location Based on Voltage Measurement at Secondary Side of Low-Voltage Transformer in Distribution Network. IEEE Trans. Instrum. Meas., 71.","DOI":"10.1109\/TIM.2022.3201230"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1016\/j.rser.2017.03.021","article-title":"Fault location and detection techniques in power distribution systems with distributed generation: A review","volume":"74","author":"Gururajapathy","year":"2017","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Bhalla, A., and Bhalja, B.R. (2024). A new fault detection and relay coordination technique for low voltage DC microgrid. Electr. Power Syst. Res., 236.","DOI":"10.1016\/j.epsr.2024.110907"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Tang, L.Y., Han, Y., Zalhaf, A.S., Zhou, S.Y., Yang, P., Wang, C.L., and Huang, T. (2024). Resilience enhancement of active distribution networks under extreme disaster scenarios: A comprehensive overview of fault location strategies. Renew. Sustain. Energy Rev., 189.","DOI":"10.1016\/j.rser.2023.113898"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"21586","DOI":"10.1109\/ACCESS.2024.3362798","article-title":"A Fast and Accurate Self-Healing Scheme for Intelligent Distribution Networks Using Mixed Integer Linear Programming","volume":"12","author":"Lu","year":"2024","journal-title":"IEEE Access"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1901093","DOI":"10.1002\/ente.201901093","article-title":"A Literature Review on Methodologies of Fault Location in the Distribution System with Distributed Generation","volume":"8","author":"Kumar","year":"2020","journal-title":"Energy Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"121406","DOI":"10.1016\/j.eswa.2023.121406","article-title":"Multi-objective distributed generation hierarchical optimal planning in distribution network: Improved beluga whale optimization algorithm","volume":"237","author":"Li","year":"2024","journal-title":"Expert Syst. Appl."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"130745","DOI":"10.1016\/j.energy.2024.130745","article-title":"Energy management system based on economic Flexi-reliable operation for the smart distribution network including integrated energy system of hydrogen storage and renewable sources","volume":"293","author":"Liang","year":"2024","journal-title":"Energy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"110982","DOI":"10.1016\/j.epsr.2024.110982","article-title":"An active protection method based on superimposed phase currents for active distribution systems","volume":"237","author":"Yuan","year":"2024","journal-title":"Electr. Power Syst. Res."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Guo, Z.Q., Ji, X., Wang, H., and Yang, X. (2024). Active Distribution Network Fault Diagnosis Based on Improved Northern Goshawk Search Algorithm. Electronics, 13.","DOI":"10.3390\/electronics13071202"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3189","DOI":"10.1109\/TPWRS.2021.3049443","article-title":"Block-Sparse Bayesian Learning Method for Fault Location in Active Distribution Networks with Limited Synchronized Measurements","volume":"36","author":"Jiang","year":"2021","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"4176869","DOI":"10.1155\/2022\/4176869","article-title":"A New Locating Method of Break Faults in an Active Distribution Network Based on Distributed Generator Monitoring","volume":"2022","author":"Xiao","year":"2022","journal-title":"Int. Trans. Electr. Energy Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"4766","DOI":"10.1038\/s41467-024-49207-y","article-title":"Real-time outage management in active distribution networks using reinforcement learning over graphs","volume":"15","author":"Jacob","year":"2024","journal-title":"Nat. Commun."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1109\/TPWRS.2022.3165685","article-title":"Fault Detection and Localization in Active Distribution Networks Using Optimally Placed Phasor Measurements Units","volume":"38","author":"Conte","year":"2023","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Liu, M.Y., Wu, J.H., Zhang, Q., and Zheng, H.J. (2024). Fault Recovery of Distribution Network with Distributed Generation Based on Pigeon-Inspired Optimization Algorithm. Electronics, 13.","DOI":"10.3390\/electronics13050886"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"4114","DOI":"10.1109\/JSYST.2023.3279232","article-title":"Precise Fault Location in Active Distribution Systems Using Unsynchronized Source Measurements","volume":"17","author":"Arsoniadis","year":"2023","journal-title":"IEEE Syst. J."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"109771","DOI":"10.1016\/j.epsr.2023.109771","article-title":"Fault location observability rules for impedance-based fault location algorithms","volume":"224","author":"Dolatabadi","year":"2023","journal-title":"Electr. Power Syst. Res."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"109731","DOI":"10.1016\/j.epsr.2023.109731","article-title":"A novel impedance based fault locator algorithm for transmission line","volume":"224","author":"Kumar","year":"2023","journal-title":"Electr. Power Syst. Res."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"110065","DOI":"10.1016\/j.ijepes.2024.110065","article-title":"Fault location method for distribution network Considering distortion of traveling wavefronts","volume":"159","author":"Wang","year":"2024","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Sun, G.Q., Ma, W., Wei, S.Q., Cai, D.F., Wang, W.Z., Xu, C.Z., Zhang, K., and Wang, Y.K. (2023). A Fault Location Method for Medium Voltage Distribution Network Based on Ground Fault Transfer Device. Electronics, 12.","DOI":"10.3390\/electronics12234790"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"109249","DOI":"10.1016\/j.epsr.2023.109249","article-title":"LF signal injection for earth-fault localization in unearthed distribution network","volume":"220","author":"Stipetic","year":"2023","journal-title":"Electr. Power Syst. Res."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"109007","DOI":"10.1016\/j.ijepes.2023.109007","article-title":"A robust fault location method for active distribution network based on self-adaptive switching function","volume":"148","author":"Li","year":"2023","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Zhao, Q., Wang, Z.P., and Wang, Y.X. (2023). Fault Location Method for an Active Distribution Network Based on a Hierarchical Optimization Model and Fault Confidence Factors. Electronics, 12.","DOI":"10.3390\/electronics12061314"},{"key":"ref_26","first-page":"152","article-title":"Fault Location for Distribution Network Based on Matrix Algorithm and Optimization Algorithm","volume":"43","author":"Xu","year":"2019","journal-title":"Autom. Electr. Power Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"4232090","DOI":"10.1155\/2022\/4232090","article-title":"A Comprehensive Method for Fault Location of Active Distribution Network Based on Improved Matrix Algorithm and Optimization Algorithm","volume":"2022","author":"Li","year":"2022","journal-title":"Int. Trans. Electr. Energy Syst."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Sun, Y., Chen, Q., Xie, D., Shao, N., Ding, W., and Dong, Y.Z. (2023). Novel Faulted-Section Location Method for Active Distribution Networks of New-Type Power Systems. Appl. Sci., 13.","DOI":"10.3390\/app13148521"},{"key":"ref_29","first-page":"3926","article-title":"Fault Section Location of Active Distribution Network Based on Feeder Terminal Unit Information Distortion Correction","volume":"45","author":"Zheng","year":"2021","journal-title":"Power Syst. Technol."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"110178","DOI":"10.1016\/j.epsr.2024.110178","article-title":"Fault classification and location of a PMU-equipped active distribution network using deep convolution neural network (CNN)","volume":"229","author":"Siddique","year":"2024","journal-title":"Electr. Power Syst. Res."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Su, C., Yang, Q., Wu, X.M., Lai, C.S., and Lai, L.L. (2023). A Two-Terminal Fault Location Fusion Model of Transmission Line Based on CNN-Multi-Head-LSTM with an Attention Module. Energies, 16.","DOI":"10.3390\/en16041827"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"161038","DOI":"10.1109\/ACCESS.2024.3486338","article-title":"A Petri Net Strategy for Fault Diagnosis and Location in Power Distribution Systems to Prevent Local Power Shortages","volume":"12","author":"Jiang","year":"2024","journal-title":"IEEE Access"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"109344","DOI":"10.1016\/j.ijepes.2023.109344","article-title":"A fuzzy-based fault section identification method using dynamic partial tree in distribution systems","volume":"153","author":"An","year":"2023","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"El Mrabet, Z., Sugunaraj, N., Ranganathan, P., and Abhyankar, S. (2022). Random Forest Regressor-Based Approach for Detecting Fault Location and Duration in Power Systems. Sensors, 22.","DOI":"10.3390\/s22020458"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"114695","DOI":"10.1016\/j.est.2024.114695","article-title":"A new IGDT-based robust model for day-ahead scheduling of smart power system integrated with compressed air energy storage and dynamic rating of transformers and lines","volume":"105","author":"Aghdam","year":"2025","journal-title":"J. Energy Storage"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"114793","DOI":"10.1016\/j.rser.2024.114793","article-title":"Application of robust optimized spatiotemporal load management of data centers for renewable curtailment mitigation","volume":"204","author":"Seyyedi","year":"2024","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_37","first-page":"169","article-title":"An active distribution network fault location method based on improved multi-universe algorithm","volume":"51","author":"Zheng","year":"2023","journal-title":"Power Syst. Prot. Control"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"110973","DOI":"10.1016\/j.asoc.2023.110973","article-title":"Quantum annealing algorithm for fault section location in distribution networks","volume":"149","author":"Bi","year":"2023","journal-title":"Appl. Soft Comput."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"2272","DOI":"10.1109\/ACCESS.2019.2962276","article-title":"Fault Location of Distribution Network Base on Improved Cuckoo Search Algorithm","volume":"8","author":"Huang","year":"2020","journal-title":"IEEE Access"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"62630","DOI":"10.1109\/ACCESS.2023.3287322","article-title":"Research on Fault Location in DC Distribution Network Based on Adaptive Artificial Bee Colony Slime Mould Algorithm","volume":"11","author":"Ma","year":"2023","journal-title":"IEEE Access"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Trojovsky, P., and Dehghani, M. (2023). Subtraction-Average-Based Optimizer: A New Swarm-Inspired Metaheuristic Algorithm for Solving Optimization Problems. Biomimetics, 8.","DOI":"10.3390\/biomimetics8020149"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"11675","DOI":"10.1007\/s10462-023-10446-y","article-title":"Spider wasp optimizer: A novel meta-heuristic optimization algorithm","volume":"56","author":"Mohamed","year":"2023","journal-title":"Artif. Intell. Rev."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"2797","DOI":"10.1016\/j.aej.2017.11.003","article-title":"Multiple DG placements in radial distribution system for multi objectives using Whale Optimization Algorithm","volume":"57","author":"Prakash","year":"2018","journal-title":"Alex. Eng. J."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Montazeri, Z., Niknam, T., Aghaei, J., Malik, O.P., Dehghani, M., and Dhiman, G. (2023). Golf Optimization Algorithm: A New Game-Based Metaheuristic Algorithm and Its Application to Energy Commitment Problem Considering Resilience. Biomimetics, 8.","DOI":"10.3390\/biomimetics8050386"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/1\/107\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T10:27:14Z","timestamp":1759919234000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/1\/107"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,12]]},"references-count":44,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2025,1]]}},"alternative-id":["sym17010107"],"URL":"https:\/\/doi.org\/10.3390\/sym17010107","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1,12]]}}}