Hankel transform and its application in electrical engineering

Ovaj završni rad opisuje Hankelovu transformaciju i njena svojstva te njenu primjenu u elektrotehnici. Opisana je Besselova jednadžba sa svojim pripadnim rješenjima u obliku Besselovih funkcija. Upravo je Besselova funkcija prve vrste jezgra i same Hankelove transformacije. Pokazana je povezanost izmedu Fourierove i Hankelove transformacije te je pokazan niz svojstava Hankelove transformacije. Riješeni su praktični problemi iz područja širenja topline, širenja elektriciteta i odziva električnih mreža uporabom Hankelove transformacije i njene inverzne formule.This final paper describes the Hankel transform and its properties and its applications in electrical engineering. The Bessel equation is described with its associated solutions in the form of Bessel functions. The Bessel’s function of the first kind is kernel of Hankel transformation. The series of properties of Hankel transform is also shoved. The connection between the Fourier and Hankel transforms is shown. The practic problems in the field of heat transfer, electricity spread and response of electric grids were solved using the Hankel transform and its inverse formula