TY - JOUR N2 - Energy based approach was used in the study to formulate a set of functions approximating the magnetic flux linkages versus independent currents. The simplest power series that approximates field co-energy and linked fluxes for a two winding core of an induction machine are described by a set of common unknown coefficients. The authors tested three algorithms for the coefficient estimation using Weighted Least-Squared Method for two different positions of the coils. The comparison of the approximation accuracy was accomplished in the specified area of the currents. All proposed algorithms of the coefficient estimation have been found to be effective. The algorithm based solely on the magnetic field co-energy values is significantly simpler than the method based on the magnetic flux linkages estimation concept. The algorithm based on the field co-energy and linked fluxes seems to be the most suitable for determining simultaneously the coefficients of power series approximating linked fluxes and field co-energy. L1 - http://journals.pan.pl/Content/85099/PDF/04_paper.pdf L2 - http://journals.pan.pl/Content/85099 PY - 2015 IS - No 3 September EP - 389 DO - 10.2478/aee-2015-0030 KW - magnetism KW - magnetic field co-energy KW - mathematical modelling KW - parameters estimation A1 - Sobczyk, Tadeusz J. A1 - Warzecha, Adam PB - Polish Academy of Sciences VL - vol. 64 DA - 2015[2015.01.01 AD - 2015.12.31 AD] T1 - Estimation of coefficients of multivariable power series approximating magnetic nonlinearity of AC machines SP - 379 UR - http://journals.pan.pl/dlibra/publication/edition/85099 T2 - Archives of Electrical Engineering ER -