Estimating the Relevance of Different Frequency Peaks of Undamped Systems Through Recursive Algorithm: A Power Harmonics Approach

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Smart Innovation, Systems and Technologies
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Rocha A.C.
de Lima B.L.S.
Janes R.
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© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.Nowadays, many applications need to trace and reconstruct input signals as the presence of undesired frequency components can be not only quite challenging to avoid, but harmful to various costly equipment in the industry. As a quality of energy case study for the present work, the growing presence of variable frequency drivers (VFD) in the industry, as well as many other non-linear loads, can indirectly cause serious damage to equipment installed downstream the power source due to harmonic components generated by semiconductors or fast switching operations. Should those components be correctly neglected by a passive filter or, more likely, on recent applications, an algorithm-based filter, the system’s input signal could be reconstructed with a degree of accuracy based on how many frequency components are taken into consideration. The present work aims to implement a recursive algorithm on MATLAB capable of receiving the samples of a signal from an undamped system and sort the different magnitude peaks according to their frequency values (i.e., frequency peaks) through the use of Fast Fourier Transform (FFT). The higher the magnitude of a given frequency component, the greater is the distortion it can cause to the original signal. Finally, the algorithm must reconstruct the signal based on the desired accuracy for the process and estimate each peak's impact on the original system, making it possible to analyze the process from a performance or accuracy trade-off point of view.
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Degree of accuracy , Different frequency , Frequency components , Harmonic components , Original systems , Quality of energies , Recursive algorithms , Variable frequency drivers
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