{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T00:53:38Z","timestamp":1771548818640,"version":"3.50.1"},"reference-count":37,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,3,4]],"date-time":"2023-03-04T00:00:00Z","timestamp":1677888000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"INEGI-LAETA","award":["UIDB\/50022\/2020"],"award-info":[{"award-number":["UIDB\/50022\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Energies"],"abstract":"<jats:p>Utilization of active power filters (APFs) is the most efficient method to reduce harmonic pollution in distribution networks. Previous approaches utilized APFs in integrated control schemes based on broad data-gathering systems. Since a broad data-gathering system is not available in most practical distribution networks, previously proposed approaches may not readily be implemented. This paper presents the utilization of stand-alone controlled APFs (SACAPFs) in radial distribution networks. Utilizing APFs with a stand-alone control system decreases implementation costs and complexity by making them autonomous and independent of integrated control systems, which are complicated and expensive in practical applications. In this paper, a single SACAPF is modeled as a dependent current source where its injection current is equal in amplitude but opposite in phase compared to the harmonic content of the current passing through the point of common coupling (reference current). Due to the presence of both linear and nonlinear loads in the distribution network, the reference current changes after injection by SACAPF, so it is necessary to modify the injection current until reaching a constant value in the reference current. This is considered via an iterative procedure in the modeling scheme. Operation of multiple SACAPFs is handled using a backward procedure based on a priority list. Simulation results on an IEEE 18-bus test system show the proper operation of the stand-alone control systems for both single and multiple SACAPF implementation. Furthermore, optimal allocation of the proposed SACAPFs is performed in an IEEE 33-bus test network and a 9-bus test network, and the results are discussed and compared with the allocation of integrated control system APFs.<\/jats:p>","DOI":"10.3390\/en16052463","type":"journal-article","created":{"date-parts":[[2023,3,6]],"date-time":"2023-03-06T02:06:43Z","timestamp":1678068403000},"page":"2463","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Integration of Stand-Alone Controlled Active Power Filters in Harmonic Power Flow of Radial Distribution Networks"],"prefix":"10.3390","volume":"16","author":[{"given":"Hamed","family":"Rezapour","sequence":"first","affiliation":[{"name":"Electrical Engineering Department, Iran University of Science and Technology (IUST), Tehran 16846-13114, Iran"},{"name":"Faculty of Electrical and Computer Engineering, University of Birjand, Birjand 97174-34765, Iran"}]},{"given":"MohamadAli","family":"Amini","sequence":"additional","affiliation":[{"name":"Electrical Engineering Department, Iran University of Science and Technology (IUST), Tehran 16846-13114, Iran"}]},{"given":"Hamid","family":"Falaghi","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Computer Engineering, University of Birjand, Birjand 97174-34765, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7359-4370","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"LAETA\/INEGI, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1109\/61.216874","article-title":"Effects of harmonics on equipment","volume":"8","author":"Wagner","year":"1993","journal-title":"IEEE Trans. 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