Effective calculation of power system low-voltage solutions

Overbye, Thomas J.; Klump, R.P.

doi:10.1109/59.485988

Cited by 79 publications

(43 citation statements)

References 23 publications

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“…Illconditioned case occurs when a system with high ratios of lines R/X , weak interconnection system [2] or heavy loading at some buses [12,36]. All of these factors affected the stability of both methods.…”

Section: Conventional Load Flow Methodsmentioning

confidence: 99%

“…MLFS method is a nonlinear programming problem that based on the optimal multiplier [11,39]. Although, several methods were presented that deal with MLFS, but most of them the computation of MLFS methods require more analytic effort [9,10,12,21]. Another difficulty for MLFS is apparent in defining maximum loading level that system can supply for unsolvable case [41].…”

Section: Multiple Load Flow Solution Methodsmentioning

confidence: 99%

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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: Conventional Load Flow Methodsmentioning

confidence: 99%

Section: Multiple Load Flow Solution 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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“…A trivial predictor is the modified zero-order polynomial [4,8], which uses the current solution and a fixed increment in the parameter (V k , θ k , λ or α) as an estimate for the next solution. Note that the repeated conventional power flow approach corresponds to a continuation method with a modified zero-order predictor.…”

Section: Parameterization and Predictor Stepmentioning

confidence: 99%

“…However, as it includes a non-linear equation at the predictor step, the resulting set of equations requires the application of special methods to be successfully solved, which can be very time-consuming [5]. An important characteristic of continuation methods is that they can provide valuable information regarding the geometry of the solution space of the power flow equations, which is useful not only from a didactic point of view, since it facilitates the understanding of the problem, but it can also aid the development of new strategies for the elimination of numerical problems related to the solution methods, the computation of multiple solutions and obtaining of voltage stability indices [8].…”

Section: Introductionmentioning

confidence: 99%

An Efficient Geometric Parametrization Technique for the Continuation Power Flow through the Tangent Predictor

Neto¹,

Alves²

2008

TEMA - Tendências Em Matemática Aplicada E Computacional

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“…Uma das vantagens importantes acrescida pelos métodos de FCC é a possibilidade da visualização da geometria da trajetória de solução das equações do FC (curva P-V), a qual é útil não só do ponto de vista didático, posto que esta facilita a compreensão do fenômeno em si, mas também auxilia no desenvolvimento de novas estratégias para a eliminação de problemas numéricos relacionados aos métodos de solução das equações, a obtenção das múltiplas soluções e de índices de estabilidade de tensão (Chen e Wang, 1997;Overbye e Klump, 1996;Yorino et al, 1997).…”

Section: Introductionunclassified

Técnica de parametrização geométrica para o fluxo de carga continuado baseado nas variáveis tensão nodal e fator de carregamento

Neto

Alves

2008

Sba Controle & Automação

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RESUMOEste trabalho apresenta um novo esquema de parametrização geométrica para o fluxo de carga continuado que possibilita o traçado completo das curvas P-V, e o cálculo do ponto de máximo carregamento de sistemas de potência, sem os problemas de mau-condicionamento. Esta nova técnica de parametrização geométrica foi obtida a partir da observação das trajetórias de solução do fluxo de carga. A técnica associa robustez com facilidade de compreensão. A singularidade da matriz Jacobiana é eliminada pela adição da equação de uma reta que passa por um ponto no plano formado pelas variá-veis magnitude da tensão nodal e o fator de carregamento. O uso desta técnica amplia o grupo das variáveis de tensão que pode ser usado como parâmetro. Os resultados obtidos com a nova metodologia para sistemas do IEEE (14, 118 e 300 barras), mostram que as características do método convencional são melhoradas e a região de convergência ao redor da singularidade é ampliada. Vários testes são apresentados com intuito de prover um completo entendimento do método proposto e possibilitar comparação e avaliação do desempenho do esquema de parametrização proposto. PALAVRAS-CHAVE ABSTRACTThis work presents a new geometrical parameterization scheme to the continuation power flow that allows the complete tracing of P-V curves and the computation of the maximum loading point of a power system, without illconditioning problems. This new geometrical parameterization technique was obtained from the observation of the behavior of power flow solutions path. The technique associates robustness with simplicity and easy interpretation. The Jacobian matrix singularity is overcome by the addition of a line equation, which passes through a point in the plane determined by the bus voltage magnitude and the loading factor variables. The use of this technique enlarges the group of voltage variables that can be used as continuation parameter. The results obtained with the new methodology for the IEEE systems (14, 118 and 300 buses) show that the characteristics of the conventional method are enhanced and the region of convergence around the singular solution is enlarged. Many tests are also presented in intention to provide the complete understanding of the proposed method and to allow the comparison and assessment of the performance of the proposed parameterization scheme.

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Effective calculation of power system low-voltage solutions

Cited by 79 publications

References 23 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

An Efficient Geometric Parametrization Technique for the Continuation Power Flow through the Tangent Predictor

Técnica de parametrização geométrica para o fluxo de carga continuado baseado nas variáveis tensão nodal e fator de carregamento

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