Calculation of electromagnetic fields, forces and temperature in a finite cylinder

Abstract

The distribution of electromagnetic fields, forces and temperatures induced by a three‐phase axially‐symmetric system of electric current in a conducting cylinder of a finite length has been calculated. An original method was used to calculate the radial and axial components of the magnetic fields and the mean values of electromagnetic forces, as well as the azimuthal component of the electric field and of the mean curl of the electromagnetic forces. For finding the source term in the temperature equation we applied an approximation of the heat transport problem based on the finite‐difference method. Such a procedure allows one to calculate the distribution of temperatures inside the cylinder depending on that of currents in the wires.

Apskaičiuojamas elektromagnetiniu lauku, jegu ir temperatūru pasiskirstymas trifazes elektros sroves ašineje simetrineje sistemoje baigtiniame cilindre. Panaudotas originalus metodas apskaičiuojant radialine ir ašine komponentes, vidurkines elektromagnetiniu jegu reikšmes, elektrinio lauko azimutine komponente ir elektromagnetiniu jegu rotoriu. Temperatūros šaltinio nustatymui, naudojama šilumos laidumo uždavinio aproksimacija baigtiniu skirtumu metodu. Tokia procedūra leidžia skaičiuoti temperatūros pasiskirstyma cilindro viduje, priklausomai nuo sroviu jo paviršiuje.