{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T17:17:37Z","timestamp":1772644657050,"version":"3.50.1"},"reference-count":27,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2024]]},"DOI":"10.1109\/access.2024.3483178","type":"journal-article","created":{"date-parts":[[2024,10,18]],"date-time":"2024-10-18T17:32:26Z","timestamp":1729272746000},"page":"153618-153627","source":"Crossref","is-referenced-by-count":3,"title":["A Signal Theory of Instantaneous and Average Power"],"prefix":"10.1109","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1015-2481","authenticated-orcid":false,"given":"Dongliang","family":"Duan","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Wyoming, Laramie, WY, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Louis L.","family":"Scharf","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Colorado State University, Fort Collins, CO, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","volume-title":"Puisssances Reactives et Fictives","author":"Budeanu","year":"1927"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1049\/piee.1972.0268"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIM.1985.4315358"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIM.1987.6312797"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2004.826500"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ISNCC.2008.4627483"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TIM.1980.4314971"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1002\/etep.4450030105"},{"issue":"569","key":"ref9","first-page":"33","article-title":"Wirk-, Blind-und Scheinleistung in elektrischen Stromkreisen mit nichtsinusformigem Verlauf von Strom und Spannung","volume":"25","author":"Fryze","year":"1932","journal-title":"Elektrotechnische Zeitschrift"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1980.319833"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/PSEC.2002.1022375"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/LESCPE.2006.280351"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2006.876647"},{"issue":"2","key":"ref14","first-page":"12","article-title":"Distribution of active and reactive energy in a power line","volume":"8","author":"Nilolov","year":"2008","journal-title":"Bulgarian Acad. Sci., Cybern. Inf. Technol."},{"key":"ref15","first-page":"1","article-title":"Generalized instantaneous reactive power theory in poly-phase power systems","volume-title":"Proc. Eur. Conf. Power Electron. Appl.","author":"Herrera"},{"issue":"2","key":"ref16","first-page":"156","article-title":"Determination of active and reactive power in multi-phase systems through analytical signals associated current and voltage signals","volume":"54","author":"Todoran","year":"2013","journal-title":"Acta Electrotehnica"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.18421\/TEM32-05"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ieeestd.2010.5439063"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ieeestd.2010.5439063"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/PCC.2002.997615"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2019.2958487"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511815911"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/59.49090"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-20988-3_4"},{"key":"ref25","volume-title":"Coherence: In Signal Processing and Machine Learning","author":"Ramiez","year":"2023"},{"key":"ref26","first-page":"259","article-title":"A general network theorem, with applications","volume-title":"Philips Res. Rep.","volume":"7","author":"Tellegen","year":"1952"},{"key":"ref27","volume-title":"Fundamentals of Electric Power Quality","author":"Snatoso","year":"2010"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/6287639\/10380310\/10721585.pdf?arnumber=10721585","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,27]],"date-time":"2024-11-27T03:16:38Z","timestamp":1732677398000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10721585\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"references-count":27,"URL":"https:\/\/doi.org\/10.1109\/access.2024.3483178","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024]]}}}