A PARABOLIC-HYPERBOLIC MODEL USABLE IN ELECTROMAGNETICS.

The paper presents a phenomenological analysis from a statistical-mathematical point of view, of the interrelation of three quantities: the magnetic potential depending of the electrical current and the air-gap. The magnetic potential was determined through numerical simulations considering different values for the electrical current and the air gap corresponding to a E-E type, DC fed electromagnet. To this purpose, the FEMM 2D program was used for non-linear media in stationary conditions. For the case under study, we propose a parabolic-hyperbolic dependence. This analysis is precedeed by the validation of the accuracy of test data, operation confirmed by the Shapiro -- Wilk concordance test, specific to this kind of statistical distribution. Also, the correlation coefficient associated to data included in the statistical sample and those obtained using the regression equation highlights their high similarity, hypothesis also proven by another indicator -- Hamming distance -- concept related to fuzzy logic. [ABSTRACT FROM AUTHOR]