Electrical power fluctuations in a network of DC/AC inverters in a large PV plant: Relationship between correlation, distance and time scale

Solar Energy

Volumn 88, Issue , 2013, Pages 227-241

  Perpinan O ^a,b   Marcos, J ^c   Lorenzo, E ^a  

^a INSTITUTO DE ENERGÍA SOLAR   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^c PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Irradiance and electrical power fluctuation; Wavelet analysis; Wavelet cross correlation; Wavelet variance

Indexed keywords

CLEARNESS INDICES; CLUSTERING PROCEDURE; CORRELATION VALUE; DAILY FLUCTUATIONS; DATA SETS; DC/AC INVERTERS; DECAY RATE; ELECTRICAL POWER; ELECTRICAL POWER FLUCTUATIONS; FREE SOFTWARE; PHOTOVOLTAIC INVERTERS; PV PLANTS; SOURCE CODES; TIME-DEPENDENT CORRELATION; TIME-SCALES; WAVELET CROSS-CORRELATION; WAVELET VARIANCE;

DECAY (ORGANIC); ELECTRICITY; TIME SERIES; WAVELET ANALYSIS;

TIME MEASUREMENT;

CORRELATION; DATA PROCESSING; DATA SET; DISTILLATION; ELECTRICAL POWER; ELECTRICITY GENERATION; NETWORK ANALYSIS; PHOTOVOLTAIC SYSTEM; SOFTWARE; WAVELET;

EID: 84872152136     PISSN: 0038092X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.solener.2012.12.004     Document Type: Article

References (34)

1. Box G.E.P., Cox D.R. An analysis of transformations. Journal of the Royal Statistical Society. Series B (Methodological) 1964, 26(2):211-252. .
2. Constantine, W., Percival, D., 2010. wmtsa: Insightful Wavelet Methods for Time Series Analysis. R Package Version 1.0-5. http://CRAN.R-project.org/package=wmtsa.
3. Fox J., Weisberg S. An R Companion to Applied Regression 2011, Sage, Thousand Oaks, CA, . second ed.
4. Gneiting, T., Sevcikova, H., Percival, D.B., 2010. Estimators of Fractal Dimension: Assessing the Roughness of Time Series and Spatial Data. Tech. Rep. University of Washington, Department of Statistics. http://www.stat.washington.edu/research/reports/2010/tr577.pdf.
5. Harrouni S., Guessoum A., Maafi A. Classification of daily solar irradiation by fractional analysis of 10-min-means of solar irradiance. Theoretical and Applied Climatology 2005, 80:27-36. . 10.1007/s00704-004-0085-0.
6. Hoff T., Perez R. Quantifying PV power output variability. Solar Energy 2010, 84(10):1782-1793. . 10.1016/j.solener.2010.07.003.
7. Hoff T.E., Perez R. Modeling PV fleet output variability. Solar Energy 2011, (0). 10.1016/j.solener.2011.11.005.
8. Jain A.K., Murty M.N., Flynn P.J. Data clustering: a review. ACM Computing Surveys 1999, 31:264-323. http://doi.acm.org/10.1145/331499.331504.
9. Lave M., Kleissl J., Arias-Castro E. High-frequency irradiance fluctuations and geographic smoothing. Solar Energy 2012, 86(8):2190-2199. 10.1016/j.solener.2011.06.031.
10. Maechler, M., Rousseeuw, P., Struyf, A., Hubert, M., Hornik, K., 2012. cluster: Cluster Analysis Basics and Extensions. R Package Version 1.14.2.
11. Marcos J., Marroyo L., Lorenzo E., Alvira D., Izco E. Power output fluctuations in large scale pv plants: One year observations with 1 second resolution and a derived analytic model. Progress in Photovoltaics: Research and Applications 2011, 19:218-227.
12. Marcos J., Marroyo L., Lorenzo E., Alvira D., Izco E. From irradiance to output power fluctuations: the PV plant as a low pass filter. Progress in Photovoltaics: Research and Applications 2011, 19(5):505-510. . 10.1002/pip.1063.
13. Marcos J., Marroyo L., Lorenzo E., García M. Smoothing of PV power fluctuations by geographical dispersion. Progress in Photovoltaics: Research and Applications 2012, 20(2):226-237. . 10.1002/pip.1127.
14. Murata A O.K., H Yamaguchi A method of estimating the output fluctuation of many photovoltaic power generation systems dispersed in a wide area. Electrical Engineering in Japan 2009, 166(4):9-19.
15. Otani K., Minowa J., Kurokawa K. Study on areal solar irradiance for analyzing areally-totalized PV systems. Solar Energy Materials and Solar Cells 1997, 47:281-288.
16. Pebesma E.J., Bivand R.S. Classes and methods for spatial data in R. R News 2005, 5(2):9-13. .
17. Percival D.P. On estimation of the wavelet variance. Biometrika 1995, 82(3):619-631. .
18. Percival D., Walden A.T. Wavelet Methods for Time Series Analysis 2006, Cambridge University Press.
19. Percival D., Sardy S., Davison A. Nonlinear and Nonstationary Signal Processing. Wavestrapping Time Series: Adaptive Wavelet-Based Bootstrapping 2000, Cambridge University Press, pp. 442-471. .
20. Perez R., Kivalov S., Schlemmer J., Hemker K., Hoff T.E. Short-term irradiance variability: preliminary estimation of station pair correlation as a function of distance. Solar Energy 2012, 86(8):2170-2176. 10.1016/j.solener.2012.02.027.
21. Perpiñán O. Statistical analysis of the performance and simulation of a two-axis tracking PV system. Solar Energy 2009, 83(11):2074-2085. .
22. Perpiñán O. solaR: Solar radiation and photovoltaic systems with R. Journal of Statistical Software 2012, 50(9):1-32. .
23. Perpiñán O., Lorenzo E. Analysis and synthesis of the variability of irradiance and PV power time series with the wavelet transform. Solar Energy 2011, 85(1):188-197. . 10.1016/j.solener.2010.08.013.
24. R Development Core Team R: A Language and Environment for Statistical Computing 2012, R Foundation for Statistical Computing, Vienna, Austria, ISBN 3-900051-07-0 .
25. Rousseeuw P.J. Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. Journal of Computational and Applied Mathematics 1987, 20(0):53-65. 10.1016/0377-0427(87)90125-7.
26. Sarkar D. Lattice: Multivariate Data Visualization with R 2008, Springer, New York, ISBN 978-0-387-75968-5 .
27. Sarkar, D., Andrews, F., 2011. latticeExtra: Extra Graphical Utilities Based on Lattice. http://R-Forge.R-project.org/projects/latticeextra/.
28. Struyf A., Hubert M., Rousseeuw P. Clustering in an object-oriented environment. Journal of Statistical Software 1997, 1(4):1-30. .
29. Súri, M., Huld, T., Dunlop, E.D., Albuisson, M., Lefevre, M., Wald, L., 2007. Uncertainties in photovoltaic electricity yield prediction from fluctuation of solar radiation. In: 22nd European Photovoltaic Solar Energy Conference. http://re.jrc.ec.europa.eu/pvgis/doc/paper/2007-Milano_6DV.4.44_uncertainty.pdf.
30. Theodoridis S., Koutroumbas K. Pattern Recognition 2009, Academic Press. fourth ed.
31. Whitcher B., Guttorp P., Percival D.B. Wavelet analysis of covariance with application to atmospheric time series. Journal of Geophysical Research - Atmospheres 2000, 105(D11):14941-14962. .
32. Wiemken E., Beyer H.G., Heydenreich W., Kiefer K. Power characteristics of PV ensembles: experiences from the combined power production of 100 grid connected PV systems distributed over the area of germany. Solar Energy 2001, 70(6):513-518.
33. Woyte A., Belmans R., Nijs J. Fluctuations in instantaneous clearness index: analysis and statistics. Solar Energy 2007, 81:195-206.
34. Zeileis A., Grothendieck G. zoo: S3 infrastructure for regular and irregular time series. Journal of Statistical Software 2005, 14(6):1-27. .