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IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT 1
A Multiresolution Taylor–Kalman Approach
for Broken Rotor Bar Detection
in Cage Induction Motors
Luis Alonso Trujillo-Guajardo, Johnny Rodriguez-Maldonado, M. A. Moonem, Member, IEEE,
and Miguel Angel Platas-Garza , Member, IEEE
Abstract— Broken rotor bar (BRB) fault is common in
cage rotor induction motors. Motor current signature analy-
sis (MCSA) has been a popular method to detect BRB faults.
In the MCSA, the fault signature frequencies for BRB are close
to the fundamental frequency. This spectral nearness leads to
the requirement of larger observation windows, which inherently
increases BRB fault detection time. This paper presents an
alternative algorithm to detect BRB faults in induction motors
from MCSA using two Taylor–Kalman (TK) filters in cascade
with a subsampling scheme. The proposed BRB fault detection
approach allows to use the TK filter to estimate lower frequencies
with less computational burden in comparison to conventional
TK analysis. Experimental analysis shows that nearly accurate
estimates and competitive detection time can be achieved by
the proposed BRB detection method. The performance of the
proposed algorithm has been compared with classical spectral
techniques using numerical simulations and records acquired
from induction motors under real operating conditions.
Index Terms—Broken rotor bar (BRB) fault signature, induc-
tion motors, Kalman filter (KF), motor current signature
analysis (MCSA), polynomial fit, Taylor–Kalman (TK) filter.
I. I NTRODUCTION
S
INCE the early days of electric motors, induction motors
have been placed as one of the most popular electrical
machines, mainly for its ruggedness and low maintenance
cost. Induction motors are subject to various faults, such as
stator faults, broken rotor bar (BRB), bearing faults, mass
unbalance, crawling, phase fault, and so on [1]. As per
statistical studies sponsored by the IEEE and the Electric
Power Research Institute, rotor faults are counted as 8%–9%
of total induction motor faults [2]. BRB fault is very common
in rotor cage induction motors (RCIMs). In an RCIM, rotor
bars and end rings are typically made of alloys of either
aluminum or copper [3]. When one or more rotor bars
Manuscript received September 5, 2017; revised November 4, 2017;
accepted November 20, 2017. The Associate Editor coordinating
the review process was Dr. Datong Liu. (Corresponding author:
Miguel Angel Platas-Garza.)
L. A. Trujillo-Guajardo, J. Rodriguez-Maldonado, and M. A. Platas-Garza
are with the Universidad Autónoma de Nuevo León, San Nicolas de Los
Garza 66455, Mexico (e-mail: luis.trujillogjr@uanl.edu.mx; johnny.
rodriguezml@uanl.edu.mx; miguel.platasgrz@uanl.edu.mx).
M. A. Moonem is with Sandia National Laboratories, Albuquerque,
NM 87123 USA (e-mail: m.a.moonem@gmail.com).
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/TIM.2018.2795895
get partially cracked or fully broken due to manufacturing
defect, or excessive centrifugal stress at the slip ring or because
of any other thermal or mechanical stress, the resulting fault
is called as BRB fault. A broken bar or end ring does not
carry current, which results in an unbalanced rotor flux that
may cause unbalanced line currents, torque pulsation, and
decreased average torque and excessive vibration [4]. If the
fault is not detected and cleared in time, the former effects
can cause an insulation failure or heavy damage, leaving the
motor out of service.
Some common physical indicators for BRBs in cage induc-
tion motors are excessive vibration, noise, and sparking during
motor starting, although there might be other defects that
cause similar effects [5]. In early 1980s, a few fault detection
techniques evolved [6]–[9]. Since then, research has been
going on to detect and diagnose BRB faults in a noninvasive
way [10]–[20]. Several methods and techniques have been
presented in the literature to detect the accurate signature
and diagnose the BRB [21]–[24]. Among these methods,
motor current signature analysis (MCSA) has been popular to
help diagnose problems, such as BRB, stator turn fault, shaft
misalignment, eccentricity, and so on [25]–[30]. Many of these
faults give rise to magnetic asymmetry in the rotor air gap,
which produces spectral components at specific frequencies
in the load current. The MCSA analysis is widely used in
electric motor diagnostic online testers, as it does not require
additional costly sensors rather than voltage and current probes
as other noninvasive techniques like vibration analysis or ther-
mography [31]–[35]. However, all these techniques could
benefit predictive maintenance programs for RCIMs, espe-
cially if they are used together.
When MCSA is used, the tester is able to record voltage and
current signals in high resolution. Usually, the length of the
signal observation window must be established a priori. Once
the acquisition is finished, the tester software performs spectral
analysis of the signals. Fast Fourier transform (FFT) [36] has
been a very well-known and widely used technique that has
been used in a different diagnostic equipment to detect and
analyze fault signatures [37].
It should be mentioned that the BRB fault signature could
not be detected in some scenarios, for example, if there are
transients and load changes or if the observation window used
is too short. Usually, fault signature frequencies for BRB are
closer to the fundamental frequency. FFT online testers use
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