A statistical analysis of sampling time and load variations for residential load aggregations

The electrical load in residential systems highly depends on various types of uncertainty due to the lifestyle of the residential customers. Enhancing the knowledge on the aggregated behavior of these customers is particularly important for the distribution system operator, also with the aim of determining the potential flexibility of the residential demand and setting up the economic terms of the electricity provision to the customers. This paper addresses the impact of the sampling time interval with which the customer data are gathered on the characteristics of the aggregated electricity demand. A dedicated statistical analysis has been carried out to highlight the load variations occurring for different numbers of aggregated extra-urban residential customers. The results are represented in the form of normalized percentage load variations, using the number of samples and the maximum demand variation to construct the normalizing factor. The results indicate how the sampling time interval affects the load variations for different levels of customer aggregation.

[1]  Joanicjusz Nazarko,et al.  Estimation of diversity and kWHR-to-peak-kW factors from load research data , 1994 .

[2]  Fanggang Wang,et al.  Low complexity Kolmogorov-Smirnov modulation classification , 2011, 2011 IEEE Wireless Communications and Networking Conference.

[3]  C. F. Walker,et al.  Residential Load Shape Modelling Based on Customer Behavior , 1985, IEEE Transactions on Power Apparatus and Systems.

[4]  Hanno Hildmann,et al.  Influence of variable supply and load flexibility on Demand-Side Management , 2011, 2011 8th International Conference on the European Energy Market (EEM).

[5]  M. S. Taylor,et al.  A multivariate rank sum test for network simulation validation , 1994, Proceedings of TCC'94 - Tactical Communications Conference.

[6]  Kishor S. Trivedi Probability and Statistics with Reliability, Queuing, and Computer Science Applications , 1984 .

[7]  G. Chicco,et al.  Characterisation of the aggregated load patterns for extraurban residential customer groups , 2004, Proceedings of the 12th IEEE Mediterranean Electrotechnical Conference (IEEE Cat. No.04CH37521).

[8]  Bodil Merethe Larsen,et al.  The flexibility of household electricity demand over time , 2001 .

[9]  D. Kirschen Demand-side view of electricity markets , 2003 .

[10]  P. Stephenson,et al.  Tariff development for consumer groups in internal European electricity markets , 2001 .

[11]  Lalit Gupta,et al.  Multicategory prediction of multifactorial diseases through risk factor fusion and rank-sum selection , 2005, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[12]  LianZhi Li,et al.  The value of rank-sum test in the tracing of quality — Rectifying diagnosis of tracing transmission assembly quality , 2011, 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet).

[13]  W. Kling,et al.  Assessing the economic benefits of flexible residential load participation in the Dutch day-ahead auction and balancing market , 2012, 2012 9th International Conference on the European Energy Market.

[14]  P. Postolache,et al.  Customer Characterization Options for Improving the Tariff Offer , 2002, IEEE Power Engineering Review.

[15]  A. Martin,et al.  Balancing act [demand side flexibility] , 2006 .

[16]  A. Molina,et al.  Implementation and assessment of physically based electrical load models: Application to direct load control residential programmes , 2003 .

[17]  Zhiyuan Luo,et al.  Gene Selection for Cancer Classification using Wilcoxon Rank Sum Test and Support Vector Machine , 2006, 2006 International Conference on Computational Intelligence and Security.

[18]  I. Kockar,et al.  Agent-based modeling of the demand-side flexibility , 2011, 2011 IEEE Power and Energy Society General Meeting.

[19]  Irvin C. Schick,et al.  Residential end-use load shape estimation from whole-house metered data , 1988 .

[20]  Luis F. Ochoa,et al.  Assessing the contribution of demand side management to power system flexibility , 2011, IEEE Conference on Decision and Control and European Control Conference.

[21]  Fabrizio Smeraldi Ranklets: orientation selective non-parametric features applied to face detection , 2002, Object recognition supported by user interaction for service robots.

[22]  K.V. Ramachandra,et al.  Decision Making in Reliability , 1977, IEEE Transactions on Reliability.

[23]  Roman Marsálek,et al.  Kolmogorov-Smirnov Test for Spectrum Sensing: From the Statistical Test to Energy Detection , 2012, 2012 IEEE Workshop on Signal Processing Systems.

[24]  Giuseppe Riccardi,et al.  Kolmogorov-Smirnov test for feature selection in emotion recognition from speech , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[25]  L.Y. Pao,et al.  Using Kolmogorov-Smirnov Tests to Detect Track-Loss in the Absence of Truth Data , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[26]  Nikhil Kundargi,et al.  A nonparametric sequential kolmogorov-smirnov test for transmit opportunity detection at the MAC layer , 2009, 2009 IEEE 10th Workshop on Signal Processing Advances in Wireless Communications.

[27]  R. Malme International energy agency demand side programme Task XIII: demand response resources position paper , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[28]  Enrico Carpaneto,et al.  Probabilistic characterisation of the aggregated residential load patterns , 2008 .

[29]  Regina Lamedica,et al.  A bottom-up approach to residential load modeling , 1994 .