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Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method

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Titel: Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method
Autoren: Bingqing Xia, Hao Wu, Wenbin Yang, Lu Cao, Yonghua Song
Quelle: Energies, Vol 15, Iss 4127, p 4127 (2022)
Verlagsinformationen: MDPI AG
Publikationsjahr: 2022
Bestand: Directory of Open Access Journals: DOAJ Articles
Schlagwörter: transient stability constrained optimal power flow, uncertain parameters, stochastic collocation method, polynomial approximation, Technology
Beschreibung: To better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed. It seeks the optimal control scheme of transient stability constrained optimal power flow (TSCOPF) expressed by the function of uncertain parameters in power systems. The key difficulty to solve this model lies in that the relationship between the parametric TSCOPF solution and uncertain parameters is implicit, which is hard to derive generally. To this end, this paper approximates the optimal solution of parametric TSCOPF by polynomial expressions of uncertain parameters based on the stochastic collocation method. First, the parametric TSCOPF model includes both uncertain parameters and transient stability constraints, in which the transient stability constraint is constructed as a set of polynomial expressions using the SCM. Then, to derive the relationship between the parametric TSCOPF solution and uncertain parameters, the SCM is applied to the parametric Karush–Kuhn–Tucker (KKT) conditions of the parametric TSCOPF model, so that the optimal solution of the parametric TSCOPF is approximated by using polynomial expressions with respect to uncertain parameters. The proposed parametric TSCOPF model has been tested on a 3-machine, 9-bus system, and the IEEE 145-bus system, which verifies the effectiveness of the proposed method.
Publikationsart: article in journal/newspaper
Sprache: English
Relation: https://www.mdpi.com/1996-1073/15/11/4127; https://doaj.org/toc/1996-1073; https://doaj.org/article/94128b290839403ab7a40aa5dcf5c973
DOI: 10.3390/en15114127
Verfügbarkeit: https://doi.org/10.3390/en15114127
https://doaj.org/article/94128b290839403ab7a40aa5dcf5c973
Dokumentencode: edsbas.75E5BC88
Datenbank: BASE
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  Data: Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method
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  Data: <searchLink fieldCode="AR" term="%22Bingqing+Xia%22">Bingqing Xia</searchLink><br /><searchLink fieldCode="AR" term="%22Hao+Wu%22">Hao Wu</searchLink><br /><searchLink fieldCode="AR" term="%22Wenbin+Yang%22">Wenbin Yang</searchLink><br /><searchLink fieldCode="AR" term="%22Lu+Cao%22">Lu Cao</searchLink><br /><searchLink fieldCode="AR" term="%22Yonghua+Song%22">Yonghua Song</searchLink>
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  Data: Energies, Vol 15, Iss 4127, p 4127 (2022)
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  Data: MDPI AG
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  Label: Publication Year
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  Data: 2022
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  Data: Directory of Open Access Journals: DOAJ Articles
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  Data: <searchLink fieldCode="DE" term="%22transient+stability+constrained+optimal+power+flow%22">transient stability constrained optimal power flow</searchLink><br /><searchLink fieldCode="DE" term="%22uncertain+parameters%22">uncertain parameters</searchLink><br /><searchLink fieldCode="DE" term="%22stochastic+collocation+method%22">stochastic collocation method</searchLink><br /><searchLink fieldCode="DE" term="%22polynomial+approximation%22">polynomial approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Technology%22">Technology</searchLink>
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  Label: Description
  Group: Ab
  Data: To better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed. It seeks the optimal control scheme of transient stability constrained optimal power flow (TSCOPF) expressed by the function of uncertain parameters in power systems. The key difficulty to solve this model lies in that the relationship between the parametric TSCOPF solution and uncertain parameters is implicit, which is hard to derive generally. To this end, this paper approximates the optimal solution of parametric TSCOPF by polynomial expressions of uncertain parameters based on the stochastic collocation method. First, the parametric TSCOPF model includes both uncertain parameters and transient stability constraints, in which the transient stability constraint is constructed as a set of polynomial expressions using the SCM. Then, to derive the relationship between the parametric TSCOPF solution and uncertain parameters, the SCM is applied to the parametric Karush–Kuhn–Tucker (KKT) conditions of the parametric TSCOPF model, so that the optimal solution of the parametric TSCOPF is approximated by using polynomial expressions with respect to uncertain parameters. The proposed parametric TSCOPF model has been tested on a 3-machine, 9-bus system, and the IEEE 145-bus system, which verifies the effectiveness of the proposed method.
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  Data: 10.3390/en15114127
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      – Text: English
    Subjects:
      – SubjectFull: transient stability constrained optimal power flow
        Type: general
      – SubjectFull: uncertain parameters
        Type: general
      – SubjectFull: stochastic collocation method
        Type: general
      – SubjectFull: polynomial approximation
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      – SubjectFull: Technology
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      – TitleFull: Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method
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            NameFull: Bingqing Xia
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            – TitleFull: Energies, Vol 15, Iss 4127, p 4127 (2022
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