A Jacobian-Free Newton-GMRES(m) Method with Adaptive Preconditioner and Its Application for Power Flow Calculations

Chen, Ying; Shen, Chen

doi:10.1109/tpwrs.2006.876696

Cited by 101 publications

(56 citation statements)

References 14 publications

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“…These methods provide optimal recommendations of the dependant and independent variable of power system to return respectively from ill-conditioned to feasible region and unsolvable solution to infeasible region [9,11,29].…”

Section: Continuation Load Flow Methodsmentioning

confidence: 99%

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Shahriari¹,

Mokhlis²,

Bakar³

2012

Journal of Electrical Engineering

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This paper presents a critical review of Load flow methods in well, ill and unsolvable conditioned systems. The comparison studies deals with multiple load flow solution (MLFS), second-order load-flow (SOLF) and continuation load flow (CLF). The ability of theses method to return from unsolvable solution to a solvable solution in load flow analysis is analyzed and discuss thoroughly. Special attention is given to the problems and techniques to provide optimal recommendations of the parameters that are used in these load flow methods. A part of the reviews, this paper also presents the comparison of numerical result using different type of aforesaid load flow methods for well and ill-conditioned systems.K e y w o r d s: second-order load-flow, multiple load flow solution, continuation load flow, ill-conditioned system, unsolvable condition

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Section: Continuation Load Flow Methodsmentioning

confidence: 99%

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Shahriari¹,

Mokhlis²,

Bakar³

2012

Journal of Electrical Engineering

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“…These include Newton-Krylov methods [19,20], Jacobian-free [21], or partial Jacobian update variants [22] which use an approximation to the Jacobian matrix. Among the most popular approaches is the Fast Decoupled Load Flow Method (FDLF) [23], providing an approximation of the Jacobian based on practical properties of the power flow problem.…”

Section: Related Workmentioning

confidence: 99%

Unified formulation of a family of iterative solvers for power systems analysis

Borzacchiello

Chinesta

Malik

et al. 2016

Electric Power Systems Research

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This paper illustrates the construction of a new class of iterative solvers for power flow calculations based on the method of Alternating Search Directions. This method is fit to the particular algebraic structure of the power flow problem resulting from the combination of a globally linear set of equations and nonlinear local relations imposed by power conversion devices, such as loads and generators. The choice of the search directions is shown to be crucial for improving the overall robustness of the solver. A noteworthy advantage is that constant search directions yield stationary methods that, in contrast with Newton or Quasi-Newton methods, do not require the evaluation of the Jacobian matrix. Such directions can be elected to enforce the convergence to the high voltage operative solution. The method is explained through an intuitive example illustrating how the proposed generalized formulation is able to include other nonlinear solvers that are classically used for power flow analysis, thus offering a unified view on the topic. Numerical experiments are performed on publicly available benchmarks for large distribution and transmission systems.Peer ReviewedPostprint (author's final draft

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“…Other techniques have also been studied to increase the speed and/or robustness of linear subproblems. These include the Quasi-Newton method [7], the inexact Newton method [8], the Krylov method [9], and the Jacobian-free Newton-GMRES method [10].…”

Section: Introductionmentioning

confidence: 99%

Power flow formulation based on a mixed-linear and nonlinear system of equations

Ahmadi

Martí

2013

2013 13th International Conference on Environment and Electrical Engineering (EEEIC)

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Power flow solutions are the key in many power system studies. In this paper, the power flow problem is formulated within rectangular coordinates. Using a voltage-dependent load model and linear approximation techniques, the problem is formulated as a system of mixed linear and nonlinear equations. An efficient matrix decomposition is then applied to facilitate establishing the Jacobian matrix in the linear subproblems of Newton's method. The accuracy of the proposed method is compared to the original nonlinear formulation and relative errors less than 0.1% are achieved. The average computation time of the proposed method is about 30% less than the conventional method.Index Terms-Power flow, load voltage dependency, LU Decomposition.

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A Jacobian-Free Newton-GMRES(m) Method with Adaptive Preconditioner and Its Application for Power Flow Calculations

Cited by 101 publications

References 14 publications

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Unified formulation of a family of iterative solvers for power systems analysis

Power flow formulation based on a mixed-linear and nonlinear system of equations

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