A generalised model of electrical energy demand from small household appliances

Accurate forecasting of residential energy loads is highly influenced by the use of electrical appliances, which not only affect electrical energy use but also internal heat gains, which in turn affects thermal energy use. It is therefore important to accurately understand the characteristics of appliance use and to embed this understanding into predictive models to support load forecast and building design decisions. Bottom-up techniques that account for the variability in socio-demographic characteristics of the occupants and their behaviour patterns constitute a powerful tool to this end, and are potentially able to inform the design of Demand Side Management strategies in homes. To this end, this paper presents a comparison of alternative strategies to stochastically model the temporal energy use of low-load appliances (meaning those whose annual energy share is individually small but significant when considered as a group). In particular, discrete-time Markov processes and survival analysis have been explored. Rigorous mathematical procedures, including cluster analysis, have been employed to identify a parsimonious strategy for the modelling of variations in energy demand over time of the four principle categories of small appliances: audio-visual, computing, kitchen and other small appliances. From this it is concluded that a model of the duration for which appliances survive in discrete states expressed as bins in fraction of maximum power demand performs best. This general solution may be integrated with relative ease with dynamic simulation programs, to complement existing models of relatively large load appliances for the comprehensive simulation of household appliance use.

[1]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[2]  Hans-Peter Kriegel,et al.  OPTICS: ordering points to identify the clustering structure , 1999, SIGMOD '99.

[3]  J. Widén,et al.  Constructing load profiles for household electricity and hot water from time-use data—Modelling approach and validation , 2009 .

[4]  Hans-Peter Kriegel,et al.  A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise , 1996, KDD.

[5]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[6]  Zhiyong Lu,et al.  Automatic Extraction of Clusters from Hierarchical Clustering Representations , 2003, PAKDD.

[7]  Anil K. Jain,et al.  Data clustering: a review , 1999, CSUR.

[8]  A. Grandjean,et al.  A review and an analysis of the residential electric load curve models , 2012 .

[9]  Carolyn Pillers Dobler,et al.  The Practice of Statistics , 2001, Technometrics.

[10]  Melody Stokes Removing barriers to embedded generation : a fine-grained load model to support low voltage network performance analysis , 2005 .

[11]  David Infield,et al.  Domestic electricity use: A high-resolution energy demand model , 2010 .

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

[13]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1971 .

[14]  A. T. Bharucha-Reid Elements of the theory of Markov processes and their applications , 1961 .

[15]  Arun Kejariwal,et al.  A Novel Technique for Long-Term Anomaly Detection in the Cloud , 2014, HotCloud.

[16]  Darren Robinson,et al.  A generalised stochastic model for the simulation of occupant presence , 2008 .

[17]  Ron Kohavi,et al.  A Study of Cross-Validation and Bootstrap for Accuracy Estimation and Model Selection , 1995, IJCAI.

[18]  Darren Robinson,et al.  Adaptive actions on shading devices in response to local visual stimuli , 2010 .

[19]  Aya Hagishima,et al.  Validation of probabilistic methodology for generating actual inhabitants' behavior schedules for accurate prediction of maximum energy requirements , 2008 .

[20]  C. Y. Peng,et al.  Logistic Regression Analysis and Reporting: A Primer , 2002 .

[21]  Mark Sumner,et al.  On the Energy Demands of Small Appliances in Homes , 2015 .

[22]  Jukka Paatero,et al.  A model for generating household electricity load profiles , 2006 .

[23]  Darren Robinson,et al.  Interactions with window openings by office occupants , 2009 .

[24]  J. Widén,et al.  A high-resolution stochastic model of domestic activity patterns and electricity demand , 2010 .