{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:33:06Z","timestamp":1753882386087,"version":"3.41.2"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/100014717","name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52007194"],"award-info":[{"award-number":["52007194"]}],"id":[{"id":"10.13039\/100014717","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2024,2]]},"abstract":"<jats:p> The increasing uncertainties in power systems have brought non-negligible influences on the dynamic behaviors. An accurate and efficient simulation method considering the effects of stochastic disturbances is of critical importance for the analysis of the dynamic performance of power systems. In this paper, a methodology for the simulation of stochastic transients in power systems is developed based on frequency shifting theory. The stochastic differential equations describing the stochastic process of parameter migration are represented through analytic signals. The frequency shifting operation is introduced. The Fourier spectra of analytic signals are shifted to reduce their maximum frequency contents, thereby permitting a larger time-step in time-domain simulation in accordance with Shannon\u2019s sampling theory. Through the trapezoidal Milstein scheme, the stochastic differential equations with shifted analytic signals are discretized. Branch companion models that process analytic signals for the simulation of stochastic transients are formulated. The numerical properties of branch models are further examined. The analysis of test cases demonstrates that the proposed method can be used to represent stochastic transients caused by parameter migrations accurately and efficiently. <\/jats:p>","DOI":"10.1142\/s1793962324500144","type":"journal-article","created":{"date-parts":[[2023,3,24]],"date-time":"2023-03-24T02:41:50Z","timestamp":1679625710000},"source":"Crossref","is-referenced-by-count":0,"title":["Modeling and simulation of stochastic transients in power systems based on frequency shifting theory"],"prefix":"10.1142","volume":"15","author":[{"given":"Peng","family":"Zhao","sequence":"first","affiliation":[{"name":"College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8352-0201","authenticated-orcid":false,"given":"Yue","family":"Xia","sequence":"additional","affiliation":[{"name":"College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, P. R. China"}]},{"given":"Zhikai","family":"You","sequence":"additional","affiliation":[{"name":"College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, P. R. China"}]},{"given":"Yu","family":"Hu","sequence":"additional","affiliation":[{"name":"College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2023,5,9]]},"reference":[{"key":"S1793962324500144BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1969.292459"},{"key":"S1793962324500144BIB002","doi-asserted-by":"publisher","DOI":"10.1049\/PBPO039E"},{"key":"S1793962324500144BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2006.883864"},{"key":"S1793962324500144BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2016.2630338"},{"key":"S1793962324500144BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.2018.2863101"},{"key":"S1793962324500144BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.2019.2953893"},{"key":"S1793962324500144BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2016.04.060"},{"key":"S1793962324500144BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1983.317742"},{"key":"S1793962324500144BIB009","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2630799"},{"key":"S1793962324500144BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2006.882460"},{"key":"S1793962324500144BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2022.3195475"},{"key":"S1793962324500144BIB012","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/s13360-020-00856-0"},{"key":"S1793962324500144BIB013","first-page":"1","volume":"94","author":"Wang W.","year":"2019","journal-title":"Int. J. Control"},{"volume-title":"Tools for Computational Finance","year":"2006","author":"Seydel R. U.","key":"S1793962324500144BIB014"},{"key":"S1793962324500144BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/p386"},{"key":"S1793962324500144BIB016","first-page":"307","volume":"138","author":"Nwankpa C. O.","year":"1991","journal-title":"IEE Proc. C"},{"key":"S1793962324500144BIB017","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2011.2174165"},{"key":"S1793962324500144BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2010.01.004"},{"volume-title":"Stochastic Differential Equations: Theory and Applications","year":"1973","author":"Arnold L.","key":"S1793962324500144BIB019"},{"key":"S1793962324500144BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-019-9658-0"},{"key":"S1793962324500144BIB021","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2021.3068038"},{"key":"S1793962324500144BIB022","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2720687"},{"key":"S1793962324500144BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-021-06696-6"},{"key":"S1793962324500144BIB024","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drab107"},{"volume-title":"Numerical Solution of Stochastic Differential Equations","year":"2013","author":"Kloeden P. E.","key":"S1793962324500144BIB025"},{"key":"S1793962324500144BIB026","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-018-1466-5"},{"volume-title":"Computer Analysis of Electronic Circuits: Algorithms and Computational Techniques","year":"1975","author":"Chua L. O.","key":"S1793962324500144BIB027"},{"key":"S1793962324500144BIB028","doi-asserted-by":"publisher","DOI":"10.1109\/JESTPE.2022.3146231"},{"volume-title":"Numerical Analysis: An Introduction","year":"1997","author":"Gautschi W.","key":"S1793962324500144BIB029"},{"volume-title":"Stochastic Differential Equations","year":"2011","author":"Jaures C.","key":"S1793962324500144BIB030"},{"key":"S1793962324500144BIB031","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2045029"}],"container-title":["International Journal of Modeling, Simulation, and Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793962324500144","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,27]],"date-time":"2024-03-27T08:21:19Z","timestamp":1711527679000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793962324500144"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,9]]},"references-count":31,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["10.1142\/S1793962324500144"],"URL":"https:\/\/doi.org\/10.1142\/s1793962324500144","relation":{},"ISSN":["1793-9623","1793-9615"],"issn-type":[{"type":"print","value":"1793-9623"},{"type":"electronic","value":"1793-9615"}],"subject":[],"published":{"date-parts":[[2023,5,9]]},"article-number":"2450014"}}