ESTUDO DAS CONDIÇÕES DE SINGULARIDADE PRESENTES NOS MÉTODOS DE NEWTON E NEWTON DESACOPLADOS

Abstract

This paper proposes the conditions ofsingularity present in the Jacobian matrix of Newtonmethod and the matrices  L and Leq decoupled Newtonmethods when the tracing of P-V curves. To facilitate thisstudy, a continuation power flow using the equation of aline situated in the plane determined by the bus voltagemagnitude and loading factor variables of any bus,combined with a strategy of changing the coordinates of thecenter of the beam lines needed for cases in which there iscoincidence of singularities of both parameters: nodalvoltage magnitude and loading factor. The purpose is topresent a didactic way, through analysis of its determinants,which occurs around the region of maximum loading pointof power systems, as they relate to the problems ofsingularity or ill-conditioning.Index Terms  ⎯ Continuation method, Decoupled powerflow, Parameterization techniques, Maximum load point,Jacobian matrix, P-V Curve.