Title :
Statistical Properties of Diversity Factors for Probabilistic Loading of Distribution Transformers
Author :
Chatlani, V.P. ; Tylavsky, D.J. ; Montgomery, D.C. ; Dyer, M.
Author_Institution :
Arizona State Univ., Tempe
fDate :
Sept. 30 2007-Oct. 2 2007
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.
Keywords :
distribution networks; gamma distribution; power transformers; probability; Anderson-Darling test; bootstrap sampling; diversity factor; gamma distribution; probabilistic distribution transformer loading; quantifiable statistical assessment; statistical properties; Books; Modeling; Pareto analysis; Power distribution; Power system planning; Sampling methods; Statistical distributions; Technology planning; Testing; Transformers; Diversity factors; residential load data;
Conference_Titel :
Power Symposium, 2007. NAPS '07. 39th North American
Conference_Location :
Las Cruces, NM
Print_ISBN :
978-1-4244-1726-1
Electronic_ISBN :
978-1-4244-1726-1
DOI :
10.1109/NAPS.2007.4402365