Estudo de soluções do fluxo de potência em coordenadas cartesianas

AUTOR(ES)

Anésio Felipe Zeitune

DATA DE PUBLICAÇÃO

2008

RESUMO

This work presents the modelling and some methodologies to solve the steady state power network equations in rectangular coordinates, including the determination of the critical loadability. Firstly, four methods are presented, from the conventional application of the Newton-Raphson method to some approaches proposed more recently in the literature. Additionally, three alternative versions for the application of tensor methods to solve a set of nonlinear equations are proposed, all of them based on quadratic models. Particularly, the peculiarities of the modelling of the power network in rectangular coordinates are exploited. Numerical results of the power ow solutions obtained with power systems of dierent sizes and for distinct loadability levels demonstrate the potential of the proposed tensor methods to obtain power ow solutions eciently. In the sequel, the Continuation Method is described, also with the power network equations expressed in rectangular coordinates. Emphasis is given to the way that this formulation allows to estimate accurately the modication in the reactive power injections resulting from the complex bus voltage changes. It is shown how this feature can be explored to deal with the reactive power limits during the application of the Continuation Method. Next, a strategy of active power dispatch based on the formulation of a small size optimization problem, whose solution is obtained with the aid of byproducts of the Continuation Method. It is noted that the application of the proposed strategies increase the loadability margin and avoid discontinuities in the PV curve, by correctly identifying the loadability level in which the generators reach their reactive power limits. Numerical results obtained with electric networks of dierent sizes are used to illustrate the performance of the proposed strategies.

ASSUNTO(S)

fluxo de potência ótima engenharia eletrica

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