MATHEMATICAL MODELING OF TRANSFORMERS BASED ON THE FREQUENCY RESPONSE OF MAGNETIZING PARAMETERS MODELAGEM MATEMÁTICA DE TRANSFORMADORES BASEADA NA RESPOSTA EM FREQUÊNCIA DOS PARÂMETROS DE MAGNETIZAÇÃO

A mathematical modeling procedure for single phase low power transformers is presented in this paper. It is based on the frequency response of the shunt parameters, taken from the electric model. The open circuit test was performed for different frequencies in four transformers, and the magnetizing parameter frequency responses were determined. It was verified that the sum of exponential functions can be employed to represent the behavior of the magnetizing parameters as a function of frequency, with notable accuracy. The results contribute to the improvement of mathematical models and circuit equivalents of single phase transformers.

[1]  W. Roshen.  Ferrite core loss for power magnetic components design , 1991 .

[2]  R. Petkov.  Design issues of the high-power high-frequency transformer , 1995, Proceedings of 1995 International Conference on Power Electronics and Drive Systems. PEDS 95.

[3]  Astrom.  Computer Controlled Systems , 1990 .

[4]  F. Windmeijer,et al.  An R-squared measure of goodness of fit for some common nonlinear regression models , 1997 .

[5]  A. Abu-Siada,et al.  High frequency transformer computer modeling , 2007, 2007 Australasian Universities Power Engineering Conference.

[6]  William Gerard Hurley,et al.  High frequency effects in planar magnetics: inclusive of skin effect , 1995, Proceedings of PESC '95 - Power Electronics Specialist Conference.

[7]  Steven D. Mitchell,et al.  Initial parameter estimates and constraints to support gray box modeling of power transformers , 2014 .

[8]  F. Lee,et al.  Single layer iron powder core inductor model and its effect on boost PFC EMI noise , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[9]  David Meister,et al.  The use of the Least Squares Method to estimate the model parameters of a transformer , 2009, 2009 10th International Conference on Electrical Power Quality and Utilisation.

[10]  Wang Xue.  Research on the transformer winding parameters real-time calculation method based on UD decomposition , 2012, 2012 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES).