This 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 ill-conditioning 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.
Continuation Method; Load Flow; Multiple solutions; Maximum Loading Point
