An application of continuous wavelet transform and wavelet coherence for residential power consumer load profiles analysis

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences






No. 1


Kapler, Piotr : Warsaw University of Technology, Faculty of Electrical Engineering, Power Engineering Institute, ul. Koszykowa 75, 00-662, Warsaw, Poland



residential power consumers ; load profiles ; power demand ; continuous wavelet transform ; wavelet coherence

Divisions of PAS

Nauki Techniczne




  1.  M. Bicego, A. Farinelli, E. Grosso, D. Paolini, and S.D. Ramchurn, “On the distinctiveness of the electricity load profile”, Pattern Recognit. 74, 317‒325 (2018), doi: 10.1016/j.patcog.2017.09.039
  2.  P. Piotrowski, D. Baczyński, S. Robak, M. Kopyt, M. Piekarz, and M. Polewaczyk, “Comprehensive forecast of electromobility mid- term development in Poland and its impacts on power system demand”, Bull. Pol. Ac.: Tech, 68(4), 697‒709 (2020), doi: 10.24425/ bpasts.2020.134180
  3.  M. Sepehr, R. Eghtedaei, A. Toolabimoghadam, Y. Noorollahi, and M. Mohammadi, “Modeling the electrical energy consumption profile for residential buildings in Iran”, Sustain. Cities Soc. 41, 481‒489 (2018), doi: 10.1016/j.scs.2018.05.041
  4.  Z. Ning and D. Kirschen, “Preliminary Analisys of High Resolution Domestic Load Data, Part of Supergen Flexnet Project”, The University of Manchester, 2010. [Online]. Data_Compact.pdf
  5.  J.L. Ramirez-Mendiola, Ph. Grunewald, and N. Eyre, “Linking intra-day variations in residential electricity demand loads to consumer’s activities: What’s missing ?”, Energy Build. 161, 63‒71 (2018), doi: 10.1016/j.enbuild.2017.12.012
  6.  J.L. Ramirez-Mendiola, Ph. Grunewald, and N. Eyre, “The diversity of residential electricity demand – A comparative analysis of metered and simulated data”, Energy Build. 151, 121‒131 (2017), doi: 10.1016/j.enbuild.2017.06.006
  7.  M. Bartecka, P. Terlikowski, M. Kłos, and Ł. Michalski, „Sizing of prosumer hybrid renewable energy systems in Polnad”, Bull. Pol. Ac.: Tech, 68(4), 721‒731 (2020), doi: 10.24425/bpasts.2020.133125
  8.  D.S. Osipov, A.G. Lyutarevich, R.A. Gapirov, V.N. Gorunkov, and A.A. Bubenchikov, “Applications of Wavelet Transform for Analysis of Electrical Transients in Power Systems: The Review”, Prz. Elektrotechniczny (Electrical Review), 92(4), 162‒165 (2016), doi: 10.15199/48.2016.04.35
  9.  R. Kumar and H.O. Bansal, “Hardware in the loop implementation of wavelet based strategy in shunt active power filter to mitigate power quality issues”, Electr. Power Syst. Res. 169, 92‒104 (2019), doi: 10.1016/j.epsr.2019.01.001
  10.  R. Escudero, J. Noel, J. Elizondo, and J. Kirtley, “Microgrid fault detection based on wavelet transformation and Park’s vector approach”, Electr. Power Syst. Res. 152, 401‒410 (2017), doi: 10.1016/j.epsr.2017.07.028
  11.  M. El-Hendawi and Z. Wang, “An ensemble method of full wavelet packet transform and neural network for short term electrical load forecasting”, Electr. Power Syst. Res. 182 (2020), doi: 10.1016/j.epsr.2020.106265
  12.  K. Dowalla, W. Winiecki, R. Łukaszewski, and R. Kowalik, „Electrical appliances identyfication based on wavelet transform of power supply voltage signal”, Prz. Elektrotechniczny (Electrical Review), 94 (11), 43‒46 (2018), doi: 10.15199/48.2018.11.10 [in Polish].
  13.  A. Graps, “An introduction to wavelets”, IEEE Comput. Sci. Eng. 2, 50‒61 (1995), doi: 10.1109/99.388960
  14.  Ch. Chiann and P. A. Morettin, “A wavelet analysis for time series”, J. Nonparametr. Statist. 10(1), 1‒46, (1999), doi: 10.1080/10485259808832752
  15.  P. Sleziak, K. Hlavcova, and J. Szolgay, “Advanatges of a time series analysis using wavelet transform as compared with Fourier analysis”, Slov. J. Civ. Eng. 23(2), 30‒36, (2015), doi: 10.1515/sjce-2015-0010
  16.  S. Avdakovic, A. Nuhanovic, M. Kusljugic, E. Becirovic and E. Turkovic, “Wavelet multiscale analysis of a power system load variance”, Turk. J. Electr. Eng. Comp. Sci. 1035‒1043, (2013), doi: 10.3906/elk-1109-47
  17.  M. Hayn, V. Bertsch, and W. Fichtner, “Electricity load profiles in Europe: The importance of household segmentation”, Energy Res. Soc. Sci. 3, 30–45, (2014), doi: 10.1016/j.erss.2014.07.002
  18.  R. Cruickshank, G. Henze, R. Balaji, H. Br-Mathias, and A. Florita, “Quantifying the Opporturnity Limits of Automatic Residential Electric Load Shaping”, Energies 12, (2019), doi: 10.3390/en12173204
  19.  M. Kott, “The electricity Consumption in Polish Households”, Modern Electr. Power Syst. 2015 – MEPS’15, Wrocław, Poland, July 6‒9, 2015, doi: 10.1109/MEPS.2015.7477166
  20.  O. Elma and U.S. Selamogullar, “A Survey of a Residential Load Profile for Demand Side Managemenet Systems”, The 5th IEEE Internationl Conference on Smart Energy Grid Enegineering, 2017, doi: 10.1109/SEGE.2017.8052781
  21.  P. Kapler, “Utilization of the adaptive potential of individual power consumers in interaction with power system”, Ph.D. Thesis, Warsaw University of Technology, Faculty of Electrical Engineering, (2018), [in Polish].
  22.  A. Grinsted, J.C. Moore, and S. Jevrejeva, “Application of the cross wavelet transform and wavelet coherence to geophysical time series”, Nonlinear Process Geophys. European Geosciences Union (EGU), 11(5/6), 561‒566, (2004), doi: 10.5194/npg-11-561-2004
  23.  B. Cazelles, M. Chavez, D. Berteaux, F. Menard, J.O. Vik, S. Jenouvrier, and N. C. Stenseth, “Wavelet analysis of ecological time series”, Oecologia 156, 287‒304 (2008), doi: 10.1007/s00442-008-0993-2






DOI: 10.24425/bpasts.2020.136216


Bulletin of the Polish Academy of Sciences: Technical Sciences; 2021; 69; No. 1; e136216