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Virginia Tech

Confidence Interval Estimation for Distribution Systems Power Consumption by Using the Bootstrap Method

Abstract

dc:description.abstract

The objective of this thesis is to estimate, for a distribution network, confidence intervals containing the values of nodal hourly power consumption and nodal maximum power consumption per customer where they are not measured. The values of nodal hourly power consumption are needed in operational as well as in planning stages to carry out load flow studies. As for the values of nodal maximum power consumption per customer, they are used to solve planning problems such as transformer sizing. Confidence interval estimation was preferred to point estimation because it takes into consideration the large variability of the consumption values. A computationally intensive statistical technique, namely the bootstrap method, is utilized to estimate these intervals. It allows us to replace idealized model assumptions for the load distributions by model free analyses. Two studies have been executed. The first one is based on the original nonparametric bootstrap method to calculate a 95% confidence interval for nodal hourly power consumption. This estimation is carried out for a given node and a given hour of the year. The second one makes use of the parametric bootstrap method in order to infer a 95% confidence interval for nodal maximum power consumption per customer. This estimation is realized for a given node and a given month. Simulation results carried out on a real data set are presented and discussed.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Electrical Engineering
Department dc:contributor.department
Electrical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1997

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Cugnet, Pierre
Chair dc:contributor.committeechair
  • Mili, Lamine M.
Committee members dc:contributor.committeemember
  • Phadke, Arun G.
  • Liu, Yilu

Subjects

dc:subject × 4

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
etd-61697-14555
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/36841

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Cugnet, Pierre. Confidence Interval Estimation for Distribution Systems Power Consumption by Using the Bootstrap Method. masters thesis, Virginia Tech, 1997. http://hdl.handle.net/10919/36841