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To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system, we analytically derive a global stability map.<\/jats:p>","DOI":"10.1063\/1.5002889","type":"journal-article","created":{"date-parts":[[2018,3,27]],"date-time":"2018-03-27T16:06:08Z","timestamp":1522166768000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":28,"title":["Rotor-angle versus voltage instability in the third-order model for synchronous generators"],"prefix":"10.1063","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9604-5742","authenticated-orcid":false,"given":"Konstantin","family":"Sharafutdinov","sequence":"first","affiliation":[{"name":"Forschungszentrum J\u00fclich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE) 1 , 52428 J\u00fclich, Germany"},{"name":"Institute for Theoretical Physics, University of Cologne 2 , 50937 K\u00f6ln, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5513-0580","authenticated-orcid":false,"given":"Leonardo","family":"Rydin Gorj\u00e3o","sequence":"additional","affiliation":[{"name":"Forschungszentrum J\u00fclich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE) 1 , 52428 J\u00fclich, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Moritz","family":"Matthiae","sequence":"additional","affiliation":[{"name":"Forschungszentrum J\u00fclich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE) 1 , 52428 J\u00fclich, Germany"},{"name":"Department of Micro- and Nanotechnology, Technical University of Denmark 3 , 2800 Kongens Lyngby, Denmark"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6892-7406","authenticated-orcid":false,"given":"Timm","family":"Faulwasser","sequence":"additional","affiliation":[{"name":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology 4 , 76344 Karlsruhe, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3623-5341","authenticated-orcid":false,"given":"Dirk","family":"Witthaut","sequence":"additional","affiliation":[{"name":"Forschungszentrum J\u00fclich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE) 1 , 52428 J\u00fclich, Germany"},{"name":"Institute for Theoretical Physics, University of Cologne 2 , 50937 K\u00f6ln, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2018,3,27]]},"reference":[{"key":"2023072104134471100_c1","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1017\/CBO9781139151153","article-title":"Integration of renewable energy into present and future energy systems","volume-title":"IPCC Special Report on Renewable Energy Sources and Climate Change Mitigation","author":"Edenhofer","year":"2011"},{"key":"2023072104134471100_c2","doi-asserted-by":"publisher","first-page":"2561","DOI":"10.1140\/epjst\/e2014-02214-y","article-title":"Impacts of the transformation of the German energy system on the transmission grid","volume":"223","year":"2014","journal-title":"Eur. 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