Reachable Power Flow: Theory to Practice
Reachable power flow ( ReachFlow ) is a newly developed formal method for enclosing the complete set of uncertain power flow states. To enable ReachFlow 's transition from theory to practice, the paper makes three major contributions: (1) both small- and large- signal stability proofs for the o...
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| Vydané v: | IEEE transactions on power systems Ročník 36; číslo 3; s. 2532 - 2541 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York
IEEE
01.05.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0885-8950, 1558-0679 |
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| Abstract | Reachable power flow ( ReachFlow ) is a newly developed formal method for enclosing the complete set of uncertain power flow states. To enable ReachFlow 's transition from theory to practice, the paper makes three major contributions: (1) both small- and large- signal stability proofs for the ordinary differential equation (ODE)-based power flow are devised to theoretically ensure the robustness of ReachFlow ; (2) a model-order-reduction-empowered ReachFlow (<inline-formula><tex-math notation="LaTeX">{ReachFlow}^R</tex-math></inline-formula>) algorithm is created for analyzing interested regions in large power systems; and (3) a parallel ReachFlow (<inline-formula><tex-math notation="LaTeX">{ReachFlow}^P</tex-math></inline-formula>) algorithm is established to scale up ReachFlow for the accurate analysis of very large power systems. Extensive case studies are performed on a series of test systems, ranging from a 33-bus microgrid to a 2,000-bus power system, to thoroughly verify the correctness, efficacy and practicality of ReachFlow in formally verifying microgrid and macrogrid power flows as well as power flow control strategies. |
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| AbstractList | Reachable power flow ( ReachFlow ) is a newly developed formal method for enclosing the complete set of uncertain power flow states. To enable ReachFlow 's transition from theory to practice, the paper makes three major contributions: (1) both small- and large- signal stability proofs for the ordinary differential equation (ODE)-based power flow are devised to theoretically ensure the robustness of ReachFlow ; (2) a model-order-reduction-empowered ReachFlow ([Formula Omitted]) algorithm is created for analyzing interested regions in large power systems; and (3) a parallel ReachFlow ([Formula Omitted]) algorithm is established to scale up ReachFlow for the accurate analysis of very large power systems. Extensive case studies are performed on a series of test systems, ranging from a 33-bus microgrid to a 2,000-bus power system, to thoroughly verify the correctness, efficacy and practicality of ReachFlow in formally verifying microgrid and macrogrid power flows as well as power flow control strategies. Reachable power flow ( ReachFlow ) is a newly developed formal method for enclosing the complete set of uncertain power flow states. To enable ReachFlow 's transition from theory to practice, the paper makes three major contributions: (1) both small- and large- signal stability proofs for the ordinary differential equation (ODE)-based power flow are devised to theoretically ensure the robustness of ReachFlow ; (2) a model-order-reduction-empowered ReachFlow (<inline-formula><tex-math notation="LaTeX">{ReachFlow}^R</tex-math></inline-formula>) algorithm is created for analyzing interested regions in large power systems; and (3) a parallel ReachFlow (<inline-formula><tex-math notation="LaTeX">{ReachFlow}^P</tex-math></inline-formula>) algorithm is established to scale up ReachFlow for the accurate analysis of very large power systems. Extensive case studies are performed on a series of test systems, ranging from a 33-bus microgrid to a 2,000-bus power system, to thoroughly verify the correctness, efficacy and practicality of ReachFlow in formally verifying microgrid and macrogrid power flows as well as power flow control strategies. |
| Author | Zhou, Yifan Zhang, Peng |
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| Cites_doi | 10.1109/TSG.2017.2684238 10.2172/1219711 10.1109/TPWRS.2020.2972131 10.1109/TPWRS.2010.2051168 10.1016/j.apenergy.2015.11.003 10.1109/TPWRS.2012.2210254 10.1109/CDC.2018.8619781 10.1109/TSG.2015.2478278 10.1049/joe.2018.8520 10.1145/3365365.3382194 10.1109/TPWRS.2015.2461159 10.1002/9781118631980 10.1109/TPWRS.2012.2219886 10.1109/TPWRS.2020.2974164 10.1016/j.apenergy.2016.10.061 10.1109/59.207353 10.1109/TPWRS.2008.926435 10.1016/j.ijepes.2016.11.013 10.1109/NAPS.2014.6965374 10.1016/j.rser.2015.12.070 10.1109/TAC.2019.2906432 10.1109/TPEL.2006.890003 10.1016/j.ijepes.2014.08.004 |
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| SubjectTerms | Algorithms Asymptotic stability Differential equations Distributed generation Flow control Flow stability Formal method Load flow Mathematical model Ordinary differential equations parallel ReachFlow Power flow Power system stability reachability Reachability analysis Reachable power flow reduced-order ReachFlow Stability analysis Uncertainty |
| Title | Reachable Power Flow: Theory to Practice |
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