978-1-5090-4281-4/17/$31.00 ©2017 IEEE
Significance of Rotor Slots Number on Induction
Motor Operation under Broken Bars
W. Abu Elhaija
1
, V. Ghorbanian
2
, J. Faiz
3
, H. Nejadi-Koti
4
1
Princess Sumaya University for Technology; Electrical Engineering Department, Amman, Jordan
2
McGill University; Department of Electrical and Computer Engineering, Montreal, Canada
3
University of Tehran; School of Electrical and Computer Engineering, College of Engineering, Tehran, Iran
4
Marquette University; Department of Electrical and Computer Engineering, Milwaukee, Wisconsin, U. S. A
Abstract— This paper investigates the effect of the rotor slots
(bars) number of a three phase squirrel cage induction motor on
the motor performance under broken bar fault condition. Two
motors have been investigated at full load condition in healthy
bars, one broken bar and two broken bars operations. The first
motor has 24 stator slots and is investigated with rotor slots 20, 29
and 32 and the second motor has 36 slots and is investigated with
rotor slots 28 and 44. The above-mentioned rotor slots numbers
have been selected based on manufacturer’s database. The effect
of rotor slots numbers on motor performance with broken bars
fault has been observed by analyzing the stator current emerging
frequency components, steady state copper losses, slip at full load
and steady state bar currents. Recommendation for the safest
stator and rotor slots combinations has been provided based on
simulated key performance indicators.
Keywords—Broken bars, rotor slots, frequency components,
induction motor.
I. INTRODUCTION
A. General Overview on Broken Rotor Bars
An important failure mode of large electric motors is the
break down and subsequent heating and breaking of the rotor
bars, especially in motors that experience frequent starts under
load. The starting condition places the heaviest stress on the
rotor bars because they are carrying the highest current since the
rotor is running at much lower than synchronous speed. The high
currents cause heating and expansion of the bars relative to the
rotor itself, and differences in the electrical resistance of the
individual bars result in uneven heating and uneven expansion.
This leads to cracking of the joints where the bars are welded to
the shorting ring. As soon as a crack develops, the resistance of
that bar increases, increasing its heating, and consequently
worsening the crack. At the same time, the adjacent rotor bars
experience increased currents because of the reduced current in
the broken bar. This scenario results in localized heating of the
rotor, causing it to warp. In a squirrel cage induction motor with
a broken bar rotor, the supply currents contain spectral
components at sideband frequencies of e b
f ks f ) 2 1 ( ± =
, where
e
f
is the supply frequency, s is the operating slip,
b
f is the
detectable broken bar frequencies, and k is an integer odd
number, [1-11]. The signature analysis of machine line current
(MCSA) investigates the sideband components’
b
f around the
fundamental for detecting the broken bar fault. While the lower
sideband is specifically due to a broken bar, the upper sideband
is due to consequent speed oscillation. Torque and speed signals
also contain e
msf 2
frequency components with broken rotor bars;
m is an integer. There has been a large body of work done on
the detection of broken rotor bars in induction motors. The
pulsation caused by broken bars at twice the slip frequency in
the stator current has encouraged authors to use this fact as a
means for detecting broken bars in an induction motor [12-20].
B. Rotor slot numbers efficiency as a consequent of broken
bar(s) condition
Few studies have addressed the impact of rotor slot (bar)
numbers on the behavior of induction motors. The effect of six
different rotor bar numbers including 24, 28, 30, 40, 41 and 48
have been investigated in [21]. The corresponding results
indicate that for the selected number of stator slots and number
of magnetic poles, the rotors with the slot number multiple of 3,
did not have higher harmonics in the air gap magnetic flux
density. It has been concluded that the motor with 48 rotor slots
was the best case because it presented good starting behavior
along with low air gap magnetic flux density harmonic content
and improved characteristics at nominal speed. In [22], the
authors presented an analytical vibro-acoustic model of a 700W
induction machine, called DIVA to study the effect of slot
numbers on noise, independent of the slot geometries. However,
their established analytical rule to avoid magnetic noise was
difficult to use for practical purposes.
The impact of the bars breakage on the harmonic
components of the stator currents should be taken into account
when calculating copper losses in faulty induction motors. The
authors of [23] have proposed a new analytical method for the
calculation of copper and core losses in faulty induction motors
under broken bars and it was concluded that a broken rotor bar
fault in an induction motor increases the copper loss and total
loss of the machine.
Based on the fact that manufacturers produce motors for
long-term survival while operating reliably, this paper
recommends a tool to select the optimal rotor: stator slots
combination based on the following key performance indicators
not only at healthy bars operation but also under at least one
broken bar condition:
• Free oscillations in the steady state speed,