Fault Analysis Using Gegenbauer Multiresolution Analysis

TL;DR

This paper introduces Gegenbauer multiresolution analysis as an efficient tool for fault analysis on transmission lines, offering advantages like reduced computation and constant group delay compared to traditional filters.

Contribution

It presents Gegenbauer filter banks for fault signal analysis, highlighting their benefits over Daubechies filters in transmission line fault detection.

Findings

Gegenbauer filters have smaller computational effort.

They maintain constant group delay due to symmetry.

Performance is comparable or superior to Daubechies filters.

Abstract

This paper exploits the multiresolution analysis in the fault analysis on transmission lines. Faults were simulated using the ATP (Alternative Transient Program), considering signals at 128/cycle. A nonorthogonal multiresolution analysis was provided by Gegenbauer scaling and wavelet filters. In the cases where the signal reconstruction is not required, orthogonality may be immaterial. Gegenbauer filter banks are thereby offered in this paper as a tool for analyzing fault signals on transmission lines. Results are compared to those ones derived from a 4-coefficient Daubechies filter. The main advantages in favor of Gegenbauer filters are their smaller computational effort and their constant group delay, as they are symmetric filters.