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Classifying Households by the (Sobolev) Norms of their Electricity Consumption
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics and Applied Mathematics)
RFB Consulting, Sweden. (Mathematics and Applied Mathematics)
2014 (English)In: Energy Procedia, ISSN 1876-6102, E-ISSN 1876-6102, Vol. 61, 1870-1873 p.Article in journal (Refereed) Published
Abstract [en]

Numerical time series, but especially periodic such, are characterized up to pertinent symmetries by families of norms. The electricity consumption by a household, recorded daily during a month’s time, say, may then be encoded in a sequence of numbers; for example, as follows: the mean daily consumption, the mean daily variation of the consumption, the variation of the variation, the variation of the variation of the variation, etc. Now, replacing each of these numbers by the digits 0, 1, or 2, to say that a number is “low”, “medium”, or “high”, in relation to a collection of households, one naturally partitions the collection by the strings of these three digits; the household labeled 102   has then medium daily consumption, low daily variation, but high variation of variation, etc. We generally discuss this innocent idea and examine it in three ways: by way of toy examples, through its mathematical model (in detail presented elsewhere) and by accordingly classifying some actual electricity consumption data.

Place, publisher, year, edition, pages
2014. Vol. 61, 1870-1873 p.
Keyword [en]
Classification, Norm, Finite differences, Harmonic analysis
National Category
Mathematics Other Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-27333DOI: 10.1016/j.egypro.2014.12.231ISI: 000375936100415Scopus ID: 2-s2.0-84922381034OAI: oai:DiVA.org:mdh-27333DiVA: diva2:782099
Conference
6th International Conference on Applied Energy, ICAE 2014; National Taiwan University of Science and TechnologyTaipei; Taiwan; 30 May 2014 through 2 June 2014
Available from: 2015-01-19 Created: 2015-01-19 Last updated: 2016-10-31Bibliographically approved

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Publisher's full textScopushttp://www.sciencedirect.com/science/article/pii/S1876610214032603

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Bonner, Richard F.Mamchych, Tetyana I.
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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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Output format
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