Evaluation of Harmonic Variability in Electrical Power Systems through Statistical Control of Quality and Functional Data Analysis

Abstract The presence of harmonics in power systems and their problems and impact on quality of electricity supply is increasing due to the increase in society's use of the nonlinear loads that generate them, especially the electronic kind. Classic techniques such as Statistical Process Control (SPC) and Process Capability Analysis (PCA) that form the Statistical Quality Control, can be used to identify outliers or special causes of variability, and proceed with the implementation of actions allowing corrective disposal, provided that the harmonics are normally distributed. In the event that the distribution is unknown novel tools such as Functional Data Analysis (FDA), have been used successfully in this communication to study these phenomena in situations where the classic quality control cannot.