A Common Framework for Developing Robust Power-Flow Methods with High Convergence Rate
This paper presents a novel Power-Flow solution paradigm based on the structure of the members of the Runge–Kutta family. Solution approaches based on the introduced solution paradigm are intrinsically robust and can achieve high-order convergences rates. It is demonstrated that some well-known Powe...
Uloženo v:
| Vydáno v: | Applied sciences Ročník 11; číslo 13; s. 6147 |
|---|---|
| Hlavní autoři: | , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Basel
MDPI AG
01.07.2021
|
| Témata: | |
| ISSN: | 2076-3417, 2076-3417 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | This paper presents a novel Power-Flow solution paradigm based on the structure of the members of the Runge–Kutta family. Solution approaches based on the introduced solution paradigm are intrinsically robust and can achieve high-order convergences rates. It is demonstrated that some well-known Power-Flow solution methods are in fact special cases of the developed framework. Explicit and embedded formulations are discussed, and two novel solution methodologies based on the Explicit Heun and Embedded Heun–Euler’s methods are developed. The introduced solution techniques are validated in the EU PEGASE systems, considering different starting points and loading levels. Results show that the developed methods are quite reliable and efficient, outperforming other robust and standard methodologies. On the basis of the results obtained, we can affirm that the introduced solution paradigm constitutes a promising framework for developing novel Power-Flow solution techniques. |
|---|---|
| AbstractList | This paper presents a novel Power-Flow solution paradigm based on the structure of the members of the Runge–Kutta family. Solution approaches based on the introduced solution paradigm are intrinsically robust and can achieve high-order convergences rates. It is demonstrated that some well-known Power-Flow solution methods are in fact special cases of the developed framework. Explicit and embedded formulations are discussed, and two novel solution methodologies based on the Explicit Heun and Embedded Heun–Euler’s methods are developed. The introduced solution techniques are validated in the EU PEGASE systems, considering different starting points and loading levels. Results show that the developed methods are quite reliable and efficient, outperforming other robust and standard methodologies. On the basis of the results obtained, we can affirm that the introduced solution paradigm constitutes a promising framework for developing novel Power-Flow solution techniques. Featured ApplicationThis work proposes a common framework for developing robust Power-Flow solvers that may find multiple applications in power system analysis tools.AbstractThis paper presents a novel Power-Flow solution paradigm based on the structure of the members of the Runge–Kutta family. Solution approaches based on the introduced solution paradigm are intrinsically robust and can achieve high-order convergences rates. It is demonstrated that some well-known Power-Flow solution methods are in fact special cases of the developed framework. Explicit and embedded formulations are discussed, and two novel solution methodologies based on the Explicit Heun and Embedded Heun–Euler’s methods are developed. The introduced solution techniques are validated in the EU PEGASE systems, considering different starting points and loading levels. Results show that the developed methods are quite reliable and efficient, outperforming other robust and standard methodologies. On the basis of the results obtained, we can affirm that the introduced solution paradigm constitutes a promising framework for developing novel Power-Flow solution techniques. |
| Author | Kamel, Salah Vera, David Jurado, Francisco Escamez, Antonio Tostado-Véliz, Marcos |
| Author_xml | – sequence: 1 givenname: Marcos orcidid: 0000-0001-7076-1065 surname: Tostado-Véliz fullname: Tostado-Véliz, Marcos – sequence: 2 givenname: Salah orcidid: 0000-0001-9505-5386 surname: Kamel fullname: Kamel, Salah – sequence: 3 givenname: Antonio surname: Escamez fullname: Escamez, Antonio – sequence: 4 givenname: David orcidid: 0000-0002-2833-5051 surname: Vera fullname: Vera, David – sequence: 5 givenname: Francisco orcidid: 0000-0001-8122-7415 surname: Jurado fullname: Jurado, Francisco |
| BookMark | eNpNkU1LAzEQhoNUUGtP_oGAR1nN926OpVoVKoqo15BNJu3WdrNmty3-e1cr4lxmGB6eGXhP0KCONSB0Rskl55pc2aahlHJFRX6AjhnJVcYFzQf_5iM0atsl6UtTXlByjN7GeBLX61jjabJr2MX0jkNM-Bq2sIpNVc_xcyw3bYef4g5SNl3FHX6AbhF9i3dVt8B31XzRO-otpDnUDvCz7eAUHQa7amH024fodXrzMrnLZo-395PxLHOcsS7zXpSKA3gpAhG5tIL7EIQiLGivC0eIz4MopaOSlaSEorQiUCUVCK1ICHyI7vdeH-3SNKla2_Rpoq3MzyKmubGpq9wKjPbOSyAFJ8wJmXOtJfPMSqELZV1Jetf53tWk-LGBtjPLuEl1_75hPcWUYpz21MWecim2bYLwd5US852D-ZcD_wLOPHtL |
| Cites_doi | 10.1002/0470868279 10.3390/math9010086 10.1007/978-3-642-13669-6 10.1109/59.141737 10.1109/TPWRS.2015.2415455 10.1002/etep.2784 10.1016/j.epsr.2019.105881 10.1016/j.epsr.2011.09.002 10.1049/iet-gtd.2018.6786 10.1049/iet-gtd.2019.1077 10.1109/TPWRS.2015.2503423 10.1016/j.ijepes.2019.105558 10.1109/IECON.2012.6388538 10.1049/iet-gtd.2012.0350 10.1109/59.852122 10.1109/TPWRS.2013.2251015 10.1049/iet-gtd.2016.0064 10.1016/j.ijepes.2019.06.006 10.1016/j.ijepes.2019.03.035 10.1109/TPWRS.2010.2051168 10.1109/TPWRS.2019.2900513 10.1109/TPWRS.2019.2912485 10.1109/TPWRS.2008.2004820 10.1109/TPAS.1981.316511 10.1049/iet-gtd.2018.5633 |
| ContentType | Journal Article |
| Copyright | 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION ABUWG AFKRA AZQEC BENPR CCPQU DWQXO PHGZM PHGZT PIMPY PKEHL PQEST PQQKQ PQUKI PRINS DOA |
| DOI | 10.3390/app11136147 |
| DatabaseName | CrossRef ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central ProQuest One Community College ProQuest Central ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Academic UKI Edition ProQuest Central Korea ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | CrossRef Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: DOA name: Open Access: DOAJ - Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Sciences (General) |
| EISSN | 2076-3417 |
| ExternalDocumentID | oai_doaj_org_article_9dcd5e08302c45739952d2a54986acb0 10_3390_app11136147 |
| GroupedDBID | .4S 2XV 5VS 7XC 8CJ 8FE 8FG 8FH AADQD AAFWJ AAYXX ADBBV ADMLS AFFHD AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS APEBS ARCSS BCNDV BENPR CCPQU CITATION CZ9 D1I D1J D1K GROUPED_DOAJ IAO IGS ITC K6- K6V KC. KQ8 L6V LK5 LK8 M7R MODMG M~E OK1 P62 PHGZM PHGZT PIMPY PROAC TUS ABUWG AZQEC DWQXO PKEHL PQEST PQQKQ PQUKI PRINS |
| ID | FETCH-LOGICAL-c322t-dd4b63eed54f0475a43dff4602f9d98c00d7f4b5c152b0be8ba4f1656e4960ff3 |
| IEDL.DBID | PIMPY |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000672316500001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 2076-3417 |
| IngestDate | Tue Oct 14 18:42:50 EDT 2025 Mon Jun 30 11:33:05 EDT 2025 Sat Nov 29 07:12:46 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 13 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c322t-dd4b63eed54f0475a43dff4602f9d98c00d7f4b5c152b0be8ba4f1656e4960ff3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-9505-5386 0000-0002-2833-5051 0000-0001-7076-1065 0000-0001-8122-7415 |
| OpenAccessLink | https://www.proquest.com/publiccontent/docview/2549266231?pq-origsite=%requestingapplication% |
| PQID | 2549266231 |
| PQPubID | 2032433 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_9dcd5e08302c45739952d2a54986acb0 proquest_journals_2549266231 crossref_primary_10_3390_app11136147 |
| PublicationCentury | 2000 |
| PublicationDate | 2021-07-01 |
| PublicationDateYYYYMMDD | 2021-07-01 |
| PublicationDate_xml | – month: 07 year: 2021 text: 2021-07-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Applied sciences |
| PublicationYear | 2021 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Kamel (ref_10) 2019; 174 Milano (ref_12) 2019; 34 Kamel (ref_21) 2019; 13 ref_19 Kamel (ref_7) 2018; 12 Pourbagher (ref_15) 2016; 10 Xie (ref_2) 2013; 7 Braz (ref_5) 2000; 15 Zimmerman (ref_22) 2011; 26 Kamel (ref_9) 2019; 34 Tostado (ref_18) 2019; 110 Iwamoto (ref_3) 1981; PAS-100 Milano (ref_14) 2016; 31 Milano (ref_1) 2009; 24 Fliscounakis (ref_24) 2013; 28 ref_25 Kamel (ref_8) 2019; 29 ref_23 Rao (ref_17) 2016; 31 Tostado (ref_16) 2019; 113 ref_27 Kamel (ref_11) 2020; 116 Xie (ref_13) 2012; 83 Ajjarapu (ref_26) 1992; 7 ref_4 Kamel (ref_20) 2020; 14 ref_6 |
| References_xml | – ident: ref_19 doi: 10.1002/0470868279 – ident: ref_27 doi: 10.3390/math9010086 – ident: ref_4 doi: 10.1007/978-3-642-13669-6 – volume: 7 start-page: 416 year: 1992 ident: ref_26 article-title: The continuation power flow: A tool for steady state voltage stability analysis publication-title: IEEE Trans. Power Syst. doi: 10.1109/59.141737 – volume: 31 start-page: 1663 year: 2016 ident: ref_14 article-title: Analogy and Convergence of Levenberg’s and Lyapunov-Based Methods for Power Flow Analysis publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2015.2415455 – volume: 29 start-page: e2784 year: 2019 ident: ref_8 article-title: Development of different load flow methods for solving large-scale ill-conditioned systems publication-title: Int. Trans. Elect. Energy Syst. doi: 10.1002/etep.2784 – volume: 174 start-page: 105881 year: 2019 ident: ref_10 article-title: Comparison of various robust and efficient load-flow techniques based on Runge-Kutta formulas publication-title: Elect. Power Syst. Res. doi: 10.1016/j.epsr.2019.105881 – volume: 83 start-page: 9 year: 2012 ident: ref_13 article-title: Widely convergent method for finding solutions of simultaneous nonlinear equations publication-title: Elect. Power Syst. Res. doi: 10.1016/j.epsr.2011.09.002 – volume: 13 start-page: 3524 year: 2019 ident: ref_21 article-title: Robust and efficient approach based on Richardson extrapolation for solving badly initialised/ill-conditioned power-flow problems publication-title: IET Gener. Transmiss. Distrib. doi: 10.1049/iet-gtd.2018.6786 – volume: 14 start-page: 265 year: 2020 ident: ref_20 article-title: Promising Framework Based on Multistep Continuous Newton Scheme for Developing Robust PF Methods publication-title: IET Gener. Transmiss. Distrib. doi: 10.1049/iet-gtd.2019.1077 – ident: ref_23 – volume: 31 start-page: 3816 year: 2016 ident: ref_17 article-title: The Holomorphic Embedding Method Applied to the Power-Flow Problem publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2015.2503423 – volume: 116 start-page: 105558 year: 2020 ident: ref_11 article-title: A powerful power-flow method based on Composite Newton-Cotes formula for ill-conditioned power systems publication-title: Int. J. Elect. Power Energy Syst. doi: 10.1016/j.ijepes.2019.105558 – ident: ref_6 doi: 10.1109/IECON.2012.6388538 – volume: 7 start-page: 832 year: 2013 ident: ref_2 article-title: Dynamic computing paradigm for comprehensive power flow analysis publication-title: IET Gener. Transmiss. Distrib. doi: 10.1049/iet-gtd.2012.0350 – volume: 15 start-page: 202 year: 2000 ident: ref_5 article-title: A critical evaluation of step size optimization based load flow methods publication-title: IEEE Trans. Power Syst. doi: 10.1109/59.852122 – volume: 28 start-page: 4909 year: 2013 ident: ref_24 article-title: Contingency Ranking With Respect to Overloads in Very Large Power Systems Taking Into Account Uncertainty, Preventive, and Corrective Actions publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2013.2251015 – volume: 10 start-page: 3017 year: 2016 ident: ref_15 article-title: Application of high-order Levenberg-Marquardt method for solving the power flow problem in the ill-conditioned systems publication-title: IET Gener. Transmiss. Distrib. doi: 10.1049/iet-gtd.2016.0064 – ident: ref_25 – volume: 113 start-page: 573 year: 2019 ident: ref_16 article-title: An effective load-flow approach based on Gauss-Newton formulation publication-title: Int. J. Elect. Power Energy Syst. doi: 10.1016/j.ijepes.2019.06.006 – volume: 110 start-page: 349 year: 2019 ident: ref_18 article-title: Several robust and efficient load flow techniques based on combined approach for ill-conditioned power systems publication-title: Int. J. Elect. Power Energy Syst. doi: 10.1016/j.ijepes.2019.03.035 – volume: 26 start-page: 12 year: 2011 ident: ref_22 article-title: Matpower: Steady-State Operations, Planning and Analysis Tools for Power Systems Research and Education publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2010.2051168 – volume: 34 start-page: 3081 year: 2019 ident: ref_9 article-title: A Robust Power Flow Algorithm Based on Bulirsch-Stoer Method publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2019.2900513 – volume: 34 start-page: 3309 year: 2019 ident: ref_12 article-title: Implicit Continuous Newton Method for Power Flow Analysis publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2019.2912485 – volume: 24 start-page: 50 year: 2009 ident: ref_1 article-title: Continuous Newton’s Method for Power Flow Analysis publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2008.2004820 – volume: PAS-100 start-page: 1736 year: 1981 ident: ref_3 article-title: A load flow calculation method for ill-conditioned power systems publication-title: IEEE Trans. Power Appar. Syst. doi: 10.1109/TPAS.1981.316511 – volume: 12 start-page: 5723 year: 2018 ident: ref_7 article-title: Development of combined Runge–Kutta Broyden’s load flow approach for well- and ill-conditioned power systems publication-title: IET Gener. Transmiss. Distrib. doi: 10.1049/iet-gtd.2018.5633 |
| SSID | ssj0000913810 |
| Score | 2.179105 |
| Snippet | This paper presents a novel Power-Flow solution paradigm based on the structure of the members of the Runge–Kutta family. Solution approaches based on the... Featured ApplicationThis work proposes a common framework for developing robust Power-Flow solvers that may find multiple applications in power system analysis... |
| SourceID | doaj proquest crossref |
| SourceType | Open Website Aggregation Database Index Database |
| StartPage | 6147 |
| SubjectTerms | high-order methods ill-conditioned systems Methods Numerical analysis Power-Flow analysis Runge–Kutta formulas |
| SummonAdditionalLinks | – databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF5EPOhBbFWsVtlDD3oIpslukj3WR_FiKUWlt7BPECSRJq1_35lNWioevHgNeTGzs_N9ycw3hAx4qjPLExFwKcKApcBZBfCQYJhZJWQiNEucHzaRTibZfC6mW6O-sCaskQduDHcrjDbchihTpRlPsRMzMpEEWpMlUivP1gH1bJEpvweLIUpXNQ15MfB6_B-MU9UhG6U_UpBX6v-1EfvsMj4ihy0spKPmdTpkxxZdcrAlFtglnTYMK3rdakXfHJO3EcUWj7Kg43WVFQUYSh82vVB0VqplVdMpjkMLxh_lF332U6Mrit9gKRZ6wD2KVdOGaekM0OcJeR0_vtw_Be2ohEBDRNaBMUwlMeQ7zlzIUi5ZbJxjSRg5YUSmw9CkjimuIV2rUNlMSeZQeMcyoDDOxadktygLe0aoTOEaPZQy46gkGUoOi02JDKART0wS9chgbb38s1HEyIFJoJHzLSP3yB1adnMKylj7A-DcvHVu_pdze6S_9kvexlaVI6UFWAHA9Pw_nnFB9iOsU_EluH2yWy-W9pLs6VX9Xi2u_LL6BnUt0AA priority: 102 providerName: Directory of Open Access Journals |
| Title | A Common Framework for Developing Robust Power-Flow Methods with High Convergence Rate |
| URI | https://www.proquest.com/docview/2549266231 https://doaj.org/article/9dcd5e08302c45739952d2a54986acb0 |
| Volume | 11 |
| WOSCitedRecordID | wos000672316500001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: Open Access: DOAJ - Directory of Open Access Journals customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: DOA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: M~E dateStart: 20110101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: AUTh Library subscriptions: ProQuest Central customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: BENPR dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: PIMPY dateStart: 20110101 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9NAEB5BwoEegBZQAyXaQw9wsLpxdu3dE2qhERwaWRGgcrL2WSEhu8Rp-fvM2JtQhMSJq1-y9O08vt2ZbwCOZelUkIXOpNE8EyVyVo08JJupYLUptBNF7IdNlMulurzUVWqP7lJZ5dYn9o56UHumum10wie-dbRjfkK0BkMLJidvr39kNEOKzlrTQI37MCbhLTWCcfXxovq623MhDUw140Ob3hzZPp0S06x1jFHlH4Gp1-__yz33MWfx-P_-7RN4lHJPdjosln24F5oD2LujSHgA-8nWO_Y6CVK_eQpfThn1kbQNW2xLuRjmuuz9ruGKrVp7021YRTPXssX39ie76EdTd4w2ehlVk-A3mtuh1zOwFaa4z-Dz4vzTuw9ZmseQOTT7Tea9sMUcg6oUkYtSGjH3MYqC51F7rRznvozCSoc5geU2KGtEJHWfIJAnxTh_DqOmbcIhMFPiO25mjJIkV8mNxBVttcL8Sxa-yCdwvAWjvh5kN2qkK4RZfQezCZwRULtHSCu7v9Cur-pkerX2zsvASejMCVlSL2_uc4OYqMI4yydwtMWwTgbc1b8he_Hv2y_hYU5lLn0F7xGMNuub8AoeuNvNt249hfHZ-bJaTXuqP03r8ReLCO4z |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VLRJwAFpALBTwoUhwiPAmdmIfECqUVVftrlZVQeUU_AqqVCVls23Fn-I3MpPHUoTErQeuSWwp8Zd52DPfB7AtM6eCTHUkjeaRyDBn1ZiHRCMVrDapdiItGrGJbDZTx8d6vgY_-14YKqvsbWJjqH3laI_8DSUy6EwwHHl39j0i1Sg6Xe0lNFpY7Icfl5iy1W8nu7i-L-N4_PHow17UqQpEDsG7jLwXNk3QNUhRcJFJIxJfFCLlcaG9Vo5znxXCSoeezXIblDWiII6aIDDaL4oE570B6wLBrgawPp9M519WuzrEsqlGvG0ETBLN6Rya1NzRC2Z_uL5GIeAvB9B4tfG9_-173Ie7XfzMdlrAb8BaKDfhzhVWxU3Y6OxVzV51pNqvH8DnHUa9MFXJxn05GsN4ne2umsbYYWXP6yWbk25cND6tLtm0kdeuGW1WM6qIwTnKi7ZfNbBDDNMfwqdredtHMCirMjwGZjIc40bGKEmUm9xI_CutVhhDytSn8RC2--XOz1rqkBxTLkJFfgUVQ3hPUFg9QnzfzYVq8S3vzEeuvfMycCJrc0Jm1I8c-9ggBlRqnOVD2OpRkndGqM5_Q-TJv2-_gFt7R9OD_GAy238Kt2Mq22kqkrdgsFych2dw010sT-rF8w7vDL5eN6R-AaQSPo4 |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VLULtAWihYqGAD0WCQ1RvYifxAaHCErEqXUUVoHIKjh8ICSXtZtuKv8avYyaPpQiJWw9c87CU-PM87JnvA9iTiUmdjFUgteKBSDBnVZiHBJPUlUrHyojYt2ITyXyenpyofA1-Dr0wVFY52MTWUNva0B75PiUy6EwwHNn3fVlEPs1enZ4FpCBFJ62DnEYHkUP34xLTt-blbIpz_SwMs7cf3rwLeoWBwCCQl4G1oowjdBNSeC4SqUVkvRcxD72yKjWc28SLUhr0ciUvXVpq4YmvxgmM_L2PcNwbsI4huRAjWM9nR_nn1Q4PMW6mE941BUaR4nQmTcru6BGTP9xgqxbwlzNoPVx253_-N3fhdh9Xs4NuIWzBmqu2YfMK2-I2bPV2rGHPe7LtF_fg0wGjHpm6YtlQpsYwjmfTVTMZO67L82bJctKTC7Lv9SU7amW3G0ab2IwqZXCM6qLrY3XsGMP3-_DxWr52B0ZVXbkHwHSC75iJ1qkkKk6uJa7WUqUYW8rYxuEY9oapL047SpECUzFCSHEFIWN4TbBYPUI84O2FevG16M1Koayx0nEicTNCJtSnHNpQIx7SWJuSj2F3QEzRG6em-A2Xh_--_RRuIY6K97P54SPYCKmapy1U3oXRcnHuHsNNc7H81iye9NBn8OW6EfULihhHTw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Common+Framework+for+Developing+Robust+Power-Flow+Methods+with+High+Convergence+Rate&rft.jtitle=Applied+sciences&rft.au=Tostado-V%C3%A9liz%2C+Marcos&rft.au=Kamel%2C+Salah&rft.au=Escamez%2C+Antonio&rft.au=Vera%2C+David&rft.date=2021-07-01&rft.pub=MDPI+AG&rft.eissn=2076-3417&rft.volume=11&rft.issue=13&rft.spage=6147&rft_id=info:doi/10.3390%2Fapp11136147&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2076-3417&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2076-3417&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2076-3417&client=summon |