1016 IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, VOL. 14, NO. 3, MARCH 2018
Hybrid Approach Based on GA and PSO for
Parameter Estimation of a Full Power Quality
Disturbance Parameterized Model
Marco Antonio Rodriguez-Guerrero, Arturo Y. Jaen-Cuellar,
Rene D. Carranza-Lopez-Padilla, Member, IEEE, Roque A. Osornio-Rios, Member, IEEE,
Gilberto Herrera-Ruiz , and Rene de J. Romero-Troncoso , Senior Member, IEEE
Abstract—Power quality (PQ) and PQ disturbances (PQD)
are relevant for the industry due to the implied costs in most
industrial processes. Besides, it is necessary to maintain
the quality standards of the electrical grid to avoid damages
in the equipment that is connected to the grid. Due to the
nature and characteristics of the PQD present in the volt-
age and current signals, several studies have focused on
detecting and classifying particular disturbances, or sim-
ple combinations between two or three of them, without
presenting a methodology that describes all of them au-
tomatically. Hence, this paper proposes a hybrid approach
integrating genetic algorithms (GA) and particle swarm opti-
mization (PSO) with other techniques that make use of their
individual capabilities to automatically find a wide range of
PQD present in a voltage or current signal, regardless of
their nature. To achieve this hybrid approach parameteriza-
tion, a full PQD model is adopted to automate the search
of every one of their parameters. The proposed approach is
validated through synthetic signals, real data from the IEEE
data base, and through data readings from a real process. A
comparison using other recent heuristic techniques is made
to show the robustness of the proposed hybrid approach.
Index Terms—Genetic algorithms (GA), heuristic algo-
rithms, parameter estimation, particle swarm optimization
(PSO), power quality (PQ).
Manuscript received March 6, 2017; revised June 11, 2017 and July
31, 2017; accepted August 15, 2017. Date of publication August 24,
2017; date of current version March 1, 2018. This work was sup-
ported in part by FOMIX QUERETARO-2014-C03-250269, in part by
SEP-CONACyT 222453-2013, and in part by DAIP grant 733/2016, Uni-
versidad de Guanajuato. Paper no. TII-17-0319. (Corresponding author:
Rene de J. Romero-Troncoso.)
M. A. Rodriguez-Guerrero and R. D. Carranza-Lopez-Padilla are with
the Centro Nacional de Metrolog´ ıa, El Marqu´ es 76246, Mexico (e-mail:
mrodrigu@cenam.mx; rcarranz@cenam.mx).
A. Y. Jaen-Cuellar, R. A. Osornio-Rios, and G. Herrera-Ruiz are with
the HSPdigital–CA Mecatr ´ onica, Facultad de Ingenier´ ıa, Universidad
Aut ´ onoma de Quer ´ etaro, San Juan del R´ ıo 76807, Mexico (e-mail:
ayjaen@hspdigital.org; Member raosornio@hspdigital.org; gherrera@
uaq.mx).
R. de J. Romero-Troncoso is with the HSPdigital–CA Telem´ atica, DI-
CIS, Universidad de Guanajuato, Salamanca 36700, Mexico (e-mail:
troncoso@hspdigital.org).
Color versions of one or more of the figures in this paper are available
online at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TII.2017.2743762
I. INTRODUCTION
P
OWER quality (PQ) has been a major topic for research
due to the relevance in energy generation and distribution
[1], [2]. The capabilities in detecting and measuring the power
abnormalities are useful to determine how electric equipment is
affected by the electric grid contents and by the actions that can
be taken to keep the source as pure as possible [3]–[5]. The PQ
analysis is recently a major research topic due to the integration
of renewable energy sources as well as the increasing adoption
of distributed generation in power systems, especially in distri-
bution networks [6], [7]. This scenario represents new technical
problems for the utilities and researchers worldwide. There are
challenges in PQ issues such as modeling, detecting, classifying,
monitoring, or measuring disturbances in power systems. The
technical issues are typically separated by the nature of the PQ
event, i.e., sags and swells [8], [9], harmonics [10]–[12], tran-
sients [13], [14], small angle phase measurements [15], flicker
[16], etc. Studies in PQ still represent an area of opportunity
since PQ detection and classification is performed through a
wide variety of methodologies; as a result, several models have
been proposed [17], [18]. Besides, the abnormalities present in
the electric grid, known as PQ disturbances (PQD), are treated
as separated phenomena or mostly as a combination of some
of them [19]. Even when considering a generalized paramet-
ric model that represents most of the PQD, which is so far the
most complete that has been reported, this model contains very
complex analytical expressions [20].
In the last years, several relevant works dealing with the
PQ analysis have been presented using different approaches.
A power disturbance is considered as any behavior that differs
from a specified signal, typically a pure sine waveform [21];
consequently, a number of works are focused on the detection
and classification of PQD. For instance, in [22], a pattern recog-
nition scheme is used as an intelligent method to provide feature
information of the input signal; however, only combinations of
voltage sag/swell with harmonic content are considered. In the
meantime, in [23], heuristic algorithms and space transform
methods are used in the classification of single and combined
PQD, but mostly only combinations of two electric events are
considered. The proposed approach was validated by simulation,
but no modeling of the disturbances is presented. Regarding the
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