A free vibration analysis of helical windings of power transformer by pseudospectral method

Abstract

This paper proposes a new use of the pseudospectral method to the eigenvalue analysis of the power transformer winding. The analysis method is based on the Chebyshev polynomials and collocated at the Gauss-Labatto collocation points. To verify the method, a helical-type winding of a power transformer is analyzed and numerical examples are provided for various boundary conditions. The computed results are in good agreement with finite-element method solutions. It shows that the method is straightforward and it has novel advantages in its conceptual simplicity.