{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T19:56:47Z","timestamp":1757620607255,"version":"3.44.0"},"reference-count":24,"publisher":"Wiley","issue":"9","license":[{"start":{"date-parts":[[2024,12,22]],"date-time":"2024-12-22T00:00:00Z","timestamp":1734825600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:title>ABSTRACT<\/jats:title><jats:p>Resonant converters are widely used in various applications due to their wide input voltage range, high efficiency, and high power density. The mathematical modeling of these converters has great importance because they have both AC and DC states, simultaneously, which poses challenges for controller design. In this paper, a dynamic mathematical model of the LLC resonant converter is extracted by developing the common first harmonic approximation (FHA) model to a two\u2010harmonic approximation (THA) model, and its accuracy is compared with other conventional models, including the FHA, the dynamic pharos (DP), non\u2010linear mathematical models. As a reference model, circuit experimental model has been used for comparison. The comparison metric is the sum of squared errors in transient and steady\u2010state modes, expressed as a percentage of the steady\u2010state peak value. Furthermore, the output of the mathematical models and simulations is evaluated against practical results from a prototype.<\/jats:p>","DOI":"10.1002\/cta.4395","type":"journal-article","created":{"date-parts":[[2024,12,22]],"date-time":"2024-12-22T19:39:39Z","timestamp":1734896379000},"page":"5457-5466","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Dynamic Modeling of LLC Resonant Converter Using Extracted Two\u2010Harmonic Approximation and Comparative Analysis With Other Approaches"],"prefix":"10.1002","volume":"53","author":[{"given":"Ahmad","family":"Abbasi","sequence":"first","affiliation":[{"name":"Department of Engineering, Faculty of Electrical University of Zanjan  Zanjan Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1724-4998","authenticated-orcid":false,"given":"Abbas","family":"Ghayebloo","sequence":"additional","affiliation":[{"name":"Department of Engineering, Faculty of Electrical University of Zanjan  Zanjan Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2024,12,22]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_8_2_1","DOI":"10.1109\/TIE.2018.2860536"},{"doi-asserted-by":"publisher","key":"e_1_2_8_3_1","DOI":"10.1016\/j.energy.2022.123371"},{"doi-asserted-by":"publisher","key":"e_1_2_8_4_1","DOI":"10.1109\/IECON.2019.8927194"},{"doi-asserted-by":"publisher","key":"e_1_2_8_5_1","DOI":"10.1016\/j.microrel.2020.113850"},{"doi-asserted-by":"publisher","key":"e_1_2_8_6_1","DOI":"10.1016\/j.egyr.2021.12.013"},{"doi-asserted-by":"publisher","key":"e_1_2_8_7_1","DOI":"10.1109\/TPEL.2018.2848980"},{"doi-asserted-by":"crossref","unstructured":"C.\u2010H.Chang E.\u2010C.Chang C\u2010ACheng et\u00a0al. \u201cSmall Signal Modeling of LLC Resonant Converters Based on Extended Describing Function \u201d in 2012 International Symposium on Computer Consumer and Control (IEEE 2012).","key":"e_1_2_8_8_1","DOI":"10.1109\/IS3C.2012.99"},{"doi-asserted-by":"crossref","unstructured":"S.Tian F. 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