Title :
Method of Calculation of Transient Skin-Effect in Conductors Embedded in Slots for Cage Windings
Author :
Verma, S.P. ; Abo-Shady, S.E.
Author_Institution :
Power Systems Research Group Department of Electrical Engineering University of Saskatchewan
Abstract :
Skin- effect has a marked influece on the steady-state performance of electrical machines. In order to study the phenomenon of skin-effect during transients, the general partiaf differential equation of the vector potential is developed on the basis of two-dimensional analysis. Numerical techniques for solving the field equations obtained from two-and single-dimensional analyses are presented. With the consideration of single-dimensional analysis, a transient analytical solution is derived for the case of a sinusoidal total current applied to a rectangular bar embedded in a slot. The two specific cases of a step total current and a sinusoidal total current applied to a rectangular bar are considered to investigate the skin-effect during transients. The excellent agreement between numerical and analytical results verifies the correctness of the two-dimensional analysis and the accuracy of the numerical techniques presented in the paper. The results show the skin-effect during transients and the need for its incorporation in the transient analysis of electrical machines.
Keywords :
Bars; Conductors; Current density; Differential equations; Magnetic analysis; Partial differential equations; Performance analysis; Power system transients; Steady-state; Transient analysis;
Journal_Title :
Power Apparatus and Systems, IEEE Transactions on
DOI :
10.1109/TPAS.1980.319856