Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems

The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers for the power flow equations, in both algebraic and parametric version. The application of the Alternating Search Direction me...

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Vydané v:	Archives of computational methods in engineering Ročník 25; číslo 4; s. 1003 - 1026
Hlavní autori:	García-Blanco, Raquel, Díez, Pedro, Borzacchiello, Domenico, Chinesta, Francisco
Médium:	Journal Article Publikácia
Jazyk:	English
Vydavateľské údaje:	Dordrecht Springer Netherlands 01.11.2018 Springer Nature B.V Springer Verlag
Predmet:	49 Calculus of variations and optimal control; optimization 49K Necessary conditions and sufficient conditions for optimality 90 Operations research, mathematical programming 90B Operations research and management science Accuracy Accuracy control Algebra Anàlisi matemàtica Approximation Classificació AMS Computer simulation Construction Càlcul de variacions Data buses Distributed generation Engineering Engineering Sciences Flow equations IEEE standards Investigació operativa Iterative methods Matemàtiques i estadística Mathematical and Computational Engineering Mathematical models Mathematical optimization Operations research Optimització Optimització matemàtica Optimization Original Paper Power flow Power flow problem Real time Reduced order model Solvers Àrees temàtiques de la UPC Distributed generation Reduced order model Power flow problem Optimization Accuracy control
ISSN:	1134-3060, 1886-1784
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Abstract	The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers for the power flow equations, in both algebraic and parametric version. The application of the Alternating Search Direction method to the power flow problem is also detailed. This results in a family of iterative solvers that combined with Proper Generalized Decomposition technique allows to solve the parametric version of the equations. Once the solution is computed using this strategy, analyzing the network state or solving optimization problems, with inclusion of generation in real-time, becomes a straightforward procedure since the parametric solution is available. Complementing this approach, an error strategy is implemented at each step of the iterative solver. Thus, error indicators are used as an stopping criteria controlling the accuracy of the approximation during the construction process. The application of these methods to the model IEEE 57-bus network is taken as a numerical illustration.
AbstractList	The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers for the power flow equations, in both algebraic and parametric version. The application of the Alternating Search Direction method to the power flow problem is also detailed. This results in a family of iterative solvers that combined with Proper Generalized Decomposition technique allows to solve the parametric version of the equations. Once the solution is computed using this strategy, analyzing the network state or solving optimization problems, with inclusion of generation in real-time, becomes a straightforward procedure since the parametric solution is available. Complementing this approach, an error strategy is implemented at each step of the iterative solver. Thus, error indicators are used as an stopping criteria controlling the accuracy of the approximation during the construction process. The application of these methods to the model IEEE 57-bus network is taken as a numerical illustration. The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-017-9223-6 The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers for the power flow equations, in both algebraic and parametric version. The application of the Alternating Search Direction method to the power flow problem is also detailed. This results in a family of iterative solvers that combined with Proper Generalized Decomposition technique allows to solve the parametric version of the equations. Once the solution is computed using this strategy, analyzing the network state or solving optimization problems, with inclusion of generation in real-time, becomes a straightforward procedure since the parametric solution is available. Complementing this approach, an error strategy is implemented at each step of the iterative solver. Thus, error indicators are used as an stopping criteria controlling the accuracy of the approximation during the construction process. The application of these methods to the model IEEE 57-bus network is taken as a numerical illustration. Peer Reviewed
Author	Borzacchiello, Domenico Chinesta, Francisco Díez, Pedro García-Blanco, Raquel
Author_xml	– sequence: 1 givenname: Raquel surname: García-Blanco fullname: García-Blanco, Raquel organization: Universidad Politécnica de Cataluña (LaCàN) – sequence: 2 givenname: Pedro orcidid: 0000-0001-6464-6407 surname: Díez fullname: Díez, Pedro email: pedro.diez@upc.edu organization: Universidad Politécnica de Cataluña (LaCàN) – sequence: 3 givenname: Domenico surname: Borzacchiello fullname: Borzacchiello, Domenico organization: Ecole Central de Nantes (ICI) – sequence: 4 givenname: Francisco surname: Chinesta fullname: Chinesta, Francisco organization: Ecole Central de Nantes (ICI)
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Keywords	Distributed generation Reduced order model Power flow problem Optimization Accuracy control
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Snippet	The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of... The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-017-9223-6 The power flow model performs the analysis of electric...
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SubjectTerms	49 Calculus of variations and optimal control; optimization 49K Necessary conditions and sufficient conditions for optimality 90 Operations research, mathematical programming 90B Operations research and management science Accuracy Accuracy control Algebra Anàlisi matemàtica Approximation Classificació AMS Computer simulation Construction Càlcul de variacions Data buses Distributed generation Engineering Engineering Sciences Flow equations IEEE standards Investigació operativa Iterative methods Matemàtiques i estadística Mathematical and Computational Engineering Mathematical models Mathematical optimization Operations research Optimització Optimització matemàtica Optimization Original Paper Power flow Power flow problem Real time Reduced order model Solvers Àrees temàtiques de la UPC
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Title	Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems
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