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We discuss how to apply a frequency-based method to tune the droop parameters in order to stabilize the grid and improve oscillation damping after disturbances. Moreover, we propose a centralized real-time feasible nonlinear model predictive control (NMPC) scheme to achieve efficient frequency and voltage control while considering economic dispatch results. Centralized NMPC for secondary control is a computationaly challenging task. We demonstrate how to reduce the computational burden using the Advanced Step Real-Time Iteration with nonuniform discretization grids. This reduces the computational burden up to 60\u2009% compared to a standard uniform approach, while having only a minor performance loss. All methods are validated on the example of a 9-bus microgrid, which is modeled with a complex differential algebraic equation.<\/jats:p>","DOI":"10.1515\/auto-2020-0088","type":"journal-article","created":{"date-parts":[[2020,11,30]],"date-time":"2020-11-30T20:59:09Z","timestamp":1606769949000},"page":"1044-1058","source":"Crossref","is-referenced-by-count":2,"title":["Optimization-based primary and secondary control of microgrids"],"prefix":"10.1515","volume":"68","author":[{"given":"Armin","family":"Nurkanovi\u0107","sequence":"first","affiliation":[{"name":"96921 Siemens Corporate Technology , Munich , Germany"},{"name":"Department of Microsystems Engineering (IMTEK) , University Freiburg , Freiburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amer","family":"Me\u0161anovi\u0107","sequence":"additional","affiliation":[{"name":"96921 Siemens Corporate Technology , Munich , Germany"},{"name":"Laboratory for Systems Theory and Automatic Control , Otto von Guericke University Magdeburg , Magdeburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mario","family":"Sperl","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and Mathematics , University of Passau , Passau , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebastian","family":"Albrecht","sequence":"additional","affiliation":[{"name":"96921 Siemens Corporate Technology , Munich , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ulrich","family":"M\u00fcnz","sequence":"additional","affiliation":[{"name":"96921 Siemens Corporate Technology , Princeton , NJ , United States"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rolf","family":"Findeisen","sequence":"additional","affiliation":[{"name":"Laboratory for Systems Theory and Automatic Control , Otto von Guericke University Magdeburg , Magdeburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moritz","family":"Diehl","sequence":"additional","affiliation":[{"name":"Department of Microsystems Engineering (IMTEK) , University Freiburg , Freiburg , Germany"},{"name":"Department of Mathematics , University Freiburg , Freiburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2020,11,27]]},"reference":[{"key":"2023033109532065652_j_auto-2020-0088_ref_001_w2aab3b7e1643b1b6b1ab2b2b1Aa","doi-asserted-by":"crossref","unstructured":"J. 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