Fundamentals and literature review of Fourier transform in power quality issues

1. Key words

1.1. Power quality disturbances

1.2. Literature review

1.3. Harmonics

1.4. Fourier transform

2. Fast Fourier Transform

2.1. Allows you to calculate the DFT and its inverse

2.2. The FFT is of great importance in a wide variety of applications

2.2.1. Digital processing of signals

2.2.2. Digital filtering

3. Two FFT algorithms

3.1. Decimation in time (DIT)

3.2. Decimation in frequency (DIF)

4. Overview

4.1. Fourier series

4.1.1. It is an infinite series

4.1.2. Timely converges to a periodic function and continues to pieces

4.2. Fourier transform

4.2.1. It is a mathematical transformation

4.2.2. Used to transform signals between the domain of the time and the frequency domain

5. Discrete fourier transform

5.1. Transforms a mathematical function in another

5.2. Getting a representation in the frequency domain

5.3. Being the original function a function in the time domain.

6. Inverse fast Fourier transform

6.1. Is calculated by using the equations based on FFT with simple operations