Resumen

SILVA M, Darío R. RESOLUTION OF THE NON LINEAR SYSTEM OF A MONOPHASE TRANSFORMER MODEL WITH SATURATION FOR THE ANALYSIS OF HARMONICS . uct [online]. 2008, vol.12, n.47, pp.93-98. ISSN 1316-4821.

This research work leads us to study the analysis in power systems and it can be made with suitable models in computer programs to obtain a permanent regime without calculating all the transitory steps. Using the discretation of the equations system of a single-phase transformer with saturation for the analysis of harmonics, the structure found has the advantage that this same algorithm may be used in the model of the three-phase transformer with saturation, where only the dimension of the sub-matrices and sub-vectors has to be modified. In the resolution of the nonlinear system of the type, was used the Newton-Raphson method that leads to:  which is an algorithm to solve nonlinear equations. An admissible error was found and the Jacobian matrix with all its elements, discrete derivatives in the sub-matrices of the transformer, were found. Therefore, in each iteration of the Newton-Raphson Method, it is necessary to solve a linear system, such as  In conclusion, it presents the nonlinear system of the transformer model under study.

Palabras clave : Nonlinear Systems; Mono-Phase Transformers; Newton-Raphson Method; Harmonics Analysis.