Fast Newton load flow

Idema, Reijer; Lahaye, Domenico; Vuik, C.; Sluis, L. van der

doi:10.1109/tdc.2010.5484211

Cited by 5 publications

(10 citation statements)

References 19 publications

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“…In [12] we discussed three methods of choosing the forcing terms η i . Here we will use the method proposed by Eisenstat and Walker [9].…”

Section: Power Flow Solutionmentioning

confidence: 99%

“…In previous studies Φ has already proven to be a good preconditioner [10], [12], while containing only half the non-zeros of the Jacobian matrix, thus providing benefits in computing time and memory.…”

Section: Preconditioningmentioning

confidence: 99%

“…With J 0 as preconditioner the number of GMRES iteration goes up by more than is saved by having to do only one factorization. However, for higher k-levels like ILU (12), the extra GMRES iterations needed when using J 0 cost less time than the extra factorizations needed for J i .…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…It has been recognized that iterative linear solvers can offer advantages over sparse direct solvers for large power systems [10,5,3,12,29]. The question arises when iterative methods are better than direct methods for power flow problems.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Scalable Newton-Krylov Solver for Very Large Power Flow Problems

Idema

Lahaye

Vuik

et al. 2012

IEEE Trans. Power Syst.

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“…In [12] we discussed three methods of choosing the forcing terms η i . Here we will use the method proposed by Eisenstat and Walker [9].…”

Section: Power Flow Solutionmentioning

confidence: 99%

Section: Preconditioningmentioning

confidence: 99%

Section: Numerical Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scalable Newton-Krylov Solver for Very Large Power Flow Problems

Idema

Lahaye

Vuik

et al. 2012

IEEE Trans. Power Syst.

Self Cite

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“…Power flow computations in power systems, which lead to systems of non-linear equations, are no different. In our research towards improving power flow computations we have used the inexact Newton method, where an iterative linear solver is used for the linear systems [5,6].…”

Section: Introductionmentioning

confidence: 99%

On the Convergence of Inexact Newton Methods

Idema

Lahaye

Vuik

2014

Lecture Notes in Computational Science and Engineering

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

García-Blanco

Dı́ez

Borzacchiello

et al. 2017

Arch Computat Methods Eng

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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.

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Fast Newton load flow

Cited by 5 publications

References 19 publications

Scalable Newton-Krylov Solver for Very Large Power Flow Problems

Scalable Newton-Krylov Solver for Very Large Power Flow Problems

On the Convergence of Inexact Newton Methods

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

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