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Electrical Power and Energy Systems
journal homepage: www.elsevier.com/locate/ijepes
A new stratified random sample customer selection for load research study
in distribution networks
Yaser Raeisi-Gahrooei, Amin Khodabakhshian
⁎
, Rahmat-Allah Hooshmand
Department of Electrical Engineering, University of Isfahan, Isfahan, Iran
ARTICLE INFO
Keywords:
Distribution network
Energy consumption
Load research
Sampling
ABSTRACT
Distribution network decision makers need accurate and reliable information about load characteristics to plan,
estimate and control the system properly. Load information is generally extracted from the collected load data of
selected sample customers and, therefore, a proper sample customer selection is the pillar of any load research
study. In this regard, this paper presents a new stratified sampling technique which includes three stages of
sample size determination and customer stratification, sample size assignment to determined strata (subgroups),
and sample customer selection. The sample size assignment to determined strata is done by considering the
compatibility between load research objectives and sampling design and preparing the way to use the data and
information provided by previous load research studies. Furthermore, sample customers are selected by con-
sidering the energy consumption (kWh) range of customers, their activity classification, and their locations in
distribution feeders. The numerical results from a real data of an electric power distribution system in Esfahan-
Iran verify the efficiency of the proposed technique when compared to the conventional method.
1. Introduction
Load research is the process of measuring, collecting and studying
the customers’ electric load characteristics in order to provide the re-
liable and thorough information for any company related to the pro-
duction, distribution and management of electricity [1,2]. One of the
major applications of load research analysis is the design and setting of
retail tariffs for electricity supply [3,4]. This information can improve
the accuracy of forecasting the future demand [5]. The other applica-
tions are the usage of load profiles of customers in capacitor placement
and the reconfiguration of distribution networks [6], state estimation
[7], and load modelling [8]. In this regard, the proper operation and
control of distribution system requires all the information available on
customers’ patterns. This in turn helps the operator take proper action
for both normal and atypical cases [9].
Since a large number of customers in different electricity tariffs are
usually connected to a distribution network, the only possible way to
study load characteristics of these customers is to use the statistical
analysis. The development of the load research study consists of three
steps; 1-sampling selection, 2-metering, and 3-analyzing the collected
load data to extract information. The reliability and accuracy of load
research results depend on how well these steps are taken. Among these
steps the metering part has been facilitated by using the automated
meter infrastructure (AMI) systems with a high degree of confidence.
Regarding the third step, after collecting the load data in the first two
steps, well-developed data mining approaches including pattern re-
cognition methods and clustering algorithms [10,11] are used to extract
the load information from the collected load data. However, few re-
searches are done on sampling technique design, and in this regard this
paper presents a new method.
Customers in distribution networks have a number of distinct traits
that can be divided into some homogeneous, independent and no-
overlapping subgroups. These are known as stratification variables
which are electricity tariffs, contract power, geographical position and
region type. Stratifying customers into subgroups increases the preci-
sion of the estimates and reduces the overall required sample size. In
this regard, the stratified sampling technique can be used and includes
three stages of sample size determination and customer stratification,
sample size assignment to determined strata, and sample customer se-
lection [12]. Sample size used in load research is limited based on
company’s budget to spend on metering and collecting load data. In this
way, an optimal method to allocate samples to subgroups should be
adopted to increase the accuracy and reliability of the collected data.
Refs. [13–16] give the implementation of the load survey system to
identify the load characteristics of customers, by using the stratified
sampling concept, to support system planning and operation. In [13],
the load profiles of low voltage customers are analysed and a clustering
algorithm based on billing data is proposed. Ref. [14] investigates the
https://doi.org/10.1016/j.ijepes.2017.11.029
Received 27 June 2016; Received in revised form 24 July 2017; Accepted 20 November 2017
⁎
Corresponding author.
E-mail addresses: yaser_raisee@eng.ui.ac.ir (Y. Raeisi-Gahrooei), aminkh@eng.ui.ac.ir (A. Khodabakhshian), hooshmand_r@eng.ui.ac.ir (R.-A. Hooshmand).
Electrical Power and Energy Systems 97 (2018) 363–371
Available online 04 January 2018
0142-0615/ © 2017 Elsevier Ltd. All rights reserved.
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