Coordenadas polares versus coordenadas retangulares no cálculo do ponto de máximo carregamento em sistemas elétricos de potência

Abstract

The continuous loading growth allied to the lack of investments in generation and transmission areas has led to a electrical power system operated closer to its operating limits. Therefore, voltage stability is one of the most relevant themes for electrical energy companies, as well as for academic researchers. In view of this scenario, mathematical approaches applied to performing an accurate voltage stability analysis should be developed and/or evaluated. Thus, the present work deals with the computation of the maximum loading point through continuation power flow and point of collapse methods. In addition, the primary objective is to evaluate the performance of these methodologies when the electrical network equations are expressed in both polar and rectangular voltage coordinates. The results presented focus on the number of iterations and convergence trajectory associated with the iterative process of the continuation power flow and point of collapse methods. Eigenvalues, eigenvectors and tangent vectors are also presented. IEEE test systems and a South-Southeastern Brazilian network are used in the simulations.