Power Flow Solution by the Newton-RAphson Method in Transient Stability Studies

Wamser, Robert J.; Slutsker, I.W.

doi:10.1109/tpas.1984.318546

Cited by 8 publications

(2 citation statements)

References 4 publications

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“…By neglecting the high order terms of (1), (2) is an approximation. However, (1) is a quadratic function with respect to the uncontrolled variables [11,13,22,26]. By considering second order term of Taylor series in the Newton Raphson method, SOLF can be expressed as follows …”

Section: Theoretical Backgroundmentioning

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: Theoretical Backgroundmentioning

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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“…Different Newton-type algorithms use various Jacobian approximations [1]- [3]. The Jacobian matrix does not need to be recomputed/refactorized in every iteration.…”

Section: Introductionmentioning

confidence: 99%

Semi-Newton load flow algorithms in transient security simulations

Jovanović

2000

IEEE Trans. Power Syst.

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This paper describes the results of an investigation concerning the idea of modifying/relaxing the Newton-type transient load flow algorithms, implemented to achieve computationally more efficient load flow solutions in the transient security studies. Relaxing the coupling between MW and MVAr transient flows, and also the coupling between and in the Jacobian matrix, including the complete decoupling, is studied. The algorithms were tested on the IEEE 18-and 68-node systems, showing improvements in computation speed and convergence and memory characteristics.Index Terms-Jacobian matrix, P/Q coupling, security analysis.

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A fast network solution by the decoupled procedure during short-term dynamic processes in power systems

Popović

Stefanovic

1990

International Journal of Electrical Power & Energy Systems

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Power Flow Solution by the Newton-RAphson Method in Transient Stability Studies

Cited by 8 publications

References 4 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

Semi-Newton load flow algorithms in transient security simulations

A fast network solution by the decoupled procedure during short-term dynamic processes in power systems

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