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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Veröffentlicht in:Archives of computational methods in engineering Jg. 25; H. 4; S. 1003 - 1026
Hauptverfasser: García-Blanco, Raquel, Díez, Pedro, Borzacchiello, Domenico, Chinesta, Francisco
Format: Journal Article Verlag
Sprache:Englisch
Veröffentlicht: Dordrecht Springer Netherlands 01.11.2018
Springer Nature B.V
Springer Verlag
Schlagworte:
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
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1134-3060
1886-1784
DOI:10.1007/s11831-017-9223-6