Partial Matrix Refactorization

Chan, Steve; Brandwajn, V.

doi:10.1109/mper.1986.5528174

Cited by 10 publications

(13 citation statements)

References 4 publications

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“…Beside the three methods described in Section 2.1, method SW0 was implemented for reference purposes; it exploits the partial matrix re-factorisation techniques described in Chan and Brandwajn (1986) to compute the triangular factors of the updated B 00 matrix.…”

Section: Tests and Resultsmentioning

confidence: 99%

“…More efficient approaches based on sparse vector methods were proposed (Chang and Brandwajn, 1988) including partial matrix re-factorisation and factor update (Chan and Brandwajn, 1986). The difficulty of managing PV-PQ node type switching in the framework of contingency screening is witnessed by two recent papers (Davis and Overbye, 2011;Obah and Kim, 2008); in the former the reactive problem is not considered, while in the latter, a sensitivity method is proposed to correct the outage severity index obtained by a DC load flow computation, but again no PV-PQ type switching is performed.…”

Section: Introductionmentioning

confidence: 99%

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Adjusted reactive solutions for multiple power flow computations

Genesi

Montagna

2013

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -The purpose of this work is that of showing some efficient techniques to perform PV-PQ node type switching in multiple power flow computations. Design/methodology/approach -Reactive generation limits of generation buses must be taken into account to obtain realistic power flow solutions. This may result computationally demanding when many power flow computations are required as in contingency screening or Monte Carlo simulations. In the present paper, the implementation of efficient PV-PQ node type switching is examined with particular emphasis on the efficiency of computation. Some different methods are proposed and compared on the basis of computation speed and accuracy. Findings -Tests show the efficiency of the proposed methods with reference to actual networks with up to 800 buses. Originality/value -The classical method of (partial) re-factorisation is not very efficient when many power flow solutions are to be evaluated. In the present work, a different approach is proposed; it is based on grounding each PV node by a fictitious short-circuit branch which is removed when the node type is changed to PQ. This operation is carried out by compensation of the solution and combined with the modifications required for contingency simulation.

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Section: Tests and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adjusted reactive solutions for multiple power flow computations

Genesi

Montagna

2013

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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“…As has been pointed out by Betancourt [3,4], a m e z and Franquelo [6, 31 and others [5], ordinary ordering algorithms such as Tinney Scheme 2 are not the best from the perspective of sparse vector methods. In a forthcoming accepted paper [2], this discusser and his co-workers will give further evidence of the significant impact that these new ordering schemes will have in the field of sparsity. From the perspective of the present paper, however, it should be clear that existing ordering techniques lead to long paths and the need for "skip forward" and "skip back" techniques.…”

Section: F L Alvarado (The University Of Wisconsin-madison)mentioning

confidence: 95%

“…A brief review of SV techniques is given to establish background, terminology and notation. For more information see [1,2].…”

Section: Wf T H E Y Fellow Ieee Consultant Portland Oregon 97219mentioning

confidence: 99%

Approximate sparse vector techniques for power network solutions

Bacher¹,

Ejebe²,

Tinney³

1991

IEEE Trans. Power Syst.

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Approximate sparse vector techniques can be used to enhance solution speeds of sparsity-oriented power network algorithms. They are especially applicable to large problems in which rapid solutions are particularly important and where it may be advantageous to trade a certain amount of accuracy to gain speed. Speed is gained with approximate sparse vector techniques by skipping operations with relatively small effects in the forward/backward substitution when solving a sparse linear system of equations and when updating factors to reflect matrix changes. In this paper four such techniques are described and discussed. Numerical examples showing the effectiveness of approximate sparse vector techniques for selected applications are also presented.

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“…In the SDCFD Method, the B can be refactorized by the partial matrix refactorization method [19] so as to reflect the PV-PQ bus switchings. In the SDCNR Method, the factorization of the J is simple and straightforward with the bus switching effect.…”

Section: Q Limits Enforcement At Pvmentioning

confidence: 99%

Fast three phase load flow methods

Zhang

1996

IEEE Trans. Power Syst.

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In this paper, three phase sequence decouplingcompensation models of unsymmetrical transmission lines are introduced first. By combining these models with the wellknown Newton-Raphson and Fast-Decoupled algorithms, two novel methods -Sequence Decoupling-Compensation Newton- Raphson (SDCNR) and Sequence Decoupling-CompensationFast-Decoupled (SDCFD) Methods used for three phase load flow study are proposed, which can be used to analyze both normal and abnormal three phase power system steady state operation. The computation accuracy, computation speed and convergence characteristics of these methods are then investigated. From these investigations, their advantages of high accuracy, high speed, reliable convergence are verified. In this paper, parallel implementation of these methods is also discussed.

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Partial Matrix Refactorization

Cited by 10 publications

References 4 publications

Adjusted reactive solutions for multiple power flow computations

Adjusted reactive solutions for multiple power flow computations

Approximate sparse vector techniques for power network solutions

Fast three phase load flow methods

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