Statistical properties of diversity factors for probabilistic loading of distribution transformers

V. P. Chatlani, Daniel Tylavsky, Douglas Montgomery, M. Dyer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

The diversity factor is an essential tool used for loading of distribution transformers. Typically, diversity factors are approximate values and treated as deterministic. By calculating many sample diversity factors it is possible to develop statistics that describe the diversity factor and use these statistic to perform probabilistic transformer loading. Results from work reported here confirm the independence of the diversity factors calculated by bootstrap sampling of measured residential load data. This paper shows that the diversity factor is not normally distributed as assumed in other work. The Anderson-Darling test shows that the diversity factor obeys a gamma distribution. The statistical nature of the predicted demand with the statistical nature of the transformer loading capability can be merged to arrive at a quantifiable statistical assessment of transformer loading.

Original languageEnglish (US)
Title of host publication2007 39th North American Power Symposium, NAPS
Pages555-561
Number of pages7
DOIs
StatePublished - 2007
Event2007 39th North American Power Symposium, NAPS - Las Cruces, NM, United States
Duration: Sep 30 2007Oct 2 2007

Publication series

Name2007 39th North American Power Symposium, NAPS

Other

Other2007 39th North American Power Symposium, NAPS
Country/TerritoryUnited States
CityLas Cruces, NM
Period9/30/0710/2/07

Keywords

  • Diversity factors
  • Residential load data

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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