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.

[1]  George C. Canavos,et al.  Applied probability and statistical methods , 1984 .

[2]  R. Fraiman,et al.  Trimmed means for functional data , 2001 .

[3]  Liang Peng,et al.  Bootstrap approximation of tail dependence function , 2008 .

[4]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[5]  Charles W. Champ,et al.  Exact results for shewhart control charts with supplementary runs rules , 1987 .

[6]  Yan-Kwang Chen Economic design of X̄ control charts for non-normal data using variable sampling policy , 2004 .

[7]  B. Silverman,et al.  Functional Data Analysis , 1997 .

[8]  Douglas C. Montgomery,et al.  Applied Statistics and Probability for Engineers, Third edition , 1994 .

[9]  Ricardo Fraiman,et al.  On the use of the bootstrap for estimating functions with functional data , 2006, Comput. Stat. Data Anal..

[10]  Pasquale Erto,et al.  A New Control Chart for Weibull Technological Processes , 2007 .

[11]  M. Febrero,et al.  Outlier detection in functional data by depth measures, with application to identify abnormal NOx levels , 2008 .

[12]  J. O. Ramsay,et al.  Functional Data Analysis (Springer Series in Statistics) , 1997 .

[13]  Ward Jewell,et al.  Effects of harmonics on equipment , 1993 .

[14]  P. J. García Nieto,et al.  Detection of outliers in water quality monitoring samples using functional data analysis in San Esteban estuary (Northern Spain). , 2012, The Science of the total environment.

[15]  Wenceslao González-Manteiga,et al.  Statistics for Functional Data , 2007, Comput. Stat. Data Anal..

[16]  S. Santoso,et al.  Evaluation of harmonic trends using statistical process control methods , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition.

[17]  A. R. Crathorne,et al.  Economic Control of Quality of Manufactured Product. , 1933 .

[18]  Celestino Ordòñez,et al.  Intercomparison Exercise for Gases Emitted by a Cement Industry in Spain: A Functional Data Approach , 2011, Journal of the Air & Waste Management Association.