José Antonio de la O Serna / Universidad Autonoma de Nuevo Leon

Title: How the Fast Taylor-Fourier Transform (FTFT) will change the basic concepts of Power Systems?

Date: May 26, 2022

Bio: José Antonio de la O Serna was born in San Pedro, Coahuila, Mexico in 1953. He received his Ph.D. degree from Telecom ParisTech, Paris, France, in 1982. In 1987 he joined the Ph.D. program in electrical engineering at the University of Nuevo León (UANL), where he was a member of the Doctoral Committee. Currently he is research professor at the UANL, Monterrey, Mexico. He was also a Professor at Monterrey Institute of Technology from 1982 to 1986. From 1988 to 1993, he was with the Electrical Department at the Polytechnic School in Yaoundé, Cameroon. Mr. de la O Serna is member of the Mexican Research System.

Abstract: After showing the strong limitations of the Fourier transform to deal with oscillatory signals, the signal model of the Taylor-Fourier transform is presented. This transform is obtained by the inversion of the Taylor-Fourier basis matrix. Its theoretical solution leads to the O-splines, and their derivatives, which help to reduce the computation complexity, and to obtain the solution for any Taylor order. The factorization of the Taylor-Fourier operator into two operators, leads to its fast implementation when the number N of samples per period is an integer power of 2 (N = 2^m). This is very useful when the states of the full set of harmonics needs to be estimated. Examples of applications of the DTFT filters to analyze power oscillations with variable frequency; to assess synchrophasor, frequency and ROCOF estimates from real signals; and to obtain the analytical signals of the harmonic components. De la O wavelets obtained from the O-splines are also illustrated for future applications. A list of power system basic concepts to review is provided at the end, to promote future research in power systems using the FTFT.

Learning Materials: Talk FlyerTalk Slides

Interacting Materials:

1. Papers
   1. Detection of Life Threatening Ventricular Arrhythmia Using Digital Taylor Fourier Transform
      
   2. EEG-Rhythm Specific Taylor-Fourier Filter Bank Implemented With O-Splines for the Detection of Epilepsy Using EEG Signals
      
   3. Analyzing Power Oscillating Signals With the O-Splines of the Discrete Taylor-Fourier Transform
      
   4. Assessing Synchrophasor Estimates of an Event Captured by a Phasor Measurement Unit
      
   5. Dynamic Harmonic Analysis With FIR Filters Designed With O-Splines
      
2. GitHub
   1. Julia Package of the FTFT