Comparative Performance Study for Closed Loop Operation of an Adjustable Speed Permanent Magnet Synchronous Motor Drive with Different Controllers

International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 7, No. 4, December 2016, pp. 1085~1099
ISSN: 2088-8694, DOI: 10.11591/ijpeds.v7i4.pp1085-1099  1085
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
Comparative Performance Study for Closed Loop Operation of
an Adjustable Speed Permanent Magnet Synchronous Motor
Drive with Different Controllers
Chiranjit Sain1
, Atanu Banerjee2
, Pabitra Kumar Biswas3
1,2
Electrical Engineering Department, NIT Meghalaya, 793003, India
3
Electrical & Electronics Engineering Department, NIT Mizoram, 796012, India
Article Info ABSTRACT
Article history:
Received May 23, 2016
Revised Oct 28, 2016
Accepted Nov 9, 2016
In this paper an extensive comparative study is carried out between PI
and PID controlled closed loop model of an adjustable speed Permanent
Magnet Synchronous Motor (PMSM) drive. The incorporation of Sinusoidal
Pulse Width Modulation (SPWM) strategy establishes near sinusoidal
armature phase currents and comparatively less torque ripples without
sacrificing torque/weight ratio. In this closed loop model of PMSM drive, the
information about reference speed is provided to a speed controller, to ensure
that actual drive speed tracks the reference speed with ideally zero steady
state speed error. The entire model of PMSM closed loop drive is divided
into two loops, inner loop current and outer loop speed. By taking the
different combinations of two classical controllers (PI & PID) related with
two loop control structure, different approximations are carried out. Hence a
typical comparative study is introduced to familiar with the different
performance indices of the system corresponding to time domain and
frequency domain specifications. Therefore overall performance of closed
loop PMSM drive is tested and effectiveness of controllers will be
determined for different combinations.
Keyword:
Closed loop model
Current loop
PI controller
PID controller
PMSM motor
Speed loop
Voltage source inverter
Copyright © 2016 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Chiranjit Sain
Department of Electrical Engineering,
National Institute of Technology Meghalaya,
Bijni Complex, Laitumkhrah, Shillong- 793003, India.
Email: chiranjitsain@nitm.ac.in
1. INTRODUCTION
The Permanent Magnet Synchronous Motor (PMSM) is a rotating electrical machine where the
stator is a classic three phase stator like that of an induction motor and the rotor has surface mounted
permanent magnets. In this regard, The Permanent Magnet Synchronous Motor is equivalent to an induction
motor where the air gap magnetic field is produced by a permanent magnet [1]. Thus with the development
of permanent materials and control technology the PMSM is mostly used due to high torque/inertia ratio,
high power density, high efficiency, reliability and easy for maintenance in different industrial applications.
The schematic block diagram of closed loop model of adjustable speed PMSM drive is represented in
Figure 1. This model basically involves development of model of PMSM i.e. for machines having sinusoidal
air gap flux distribution. The PMSM, therefore, has a sinusoidal induced emf and requires sinusoidal currents
to produce constant torque. The rotor position information is very crucial for field oriented control. For
widespread industrial applications, such as high performance motor drives, accurate motor speed control is
required in which regardless of sudden load changes and parameter variations [2-3]. Hence, the control
system must be designed very carefully as it required to ensure the optimum speed operation under the
environmental variations, load variations and structural perturbations. In this paper, the model of a complete

IJPEDS ISSN: 2088-8694 
Comparative Performance Study for Closed Loop Operation of an Adjustable Speed PMSM … (Chiranjit S)
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closed loop adjustable speed Permanent Magnet Synchronous Motor drive is developed using different
combination of classical controllers where a three phase two-level voltage source inverter (VSI) feeds the
PMSM armature and the VSI is switched according to a sinusoidal pulse width modulation (SPWM) strategy.
Some pulse width modulation (PWM) technique can be employed of the self synchronous VSI feeding the
PMSM, so that lower order harmonics can be removed from the harmonic spectrum of the armature currents
of the PMSM resulting in lower toque ripple. Different combinations of classical controllers such as PI
and PID are incorporated in two loop control structure for the determination of various performance indices
of a closed loop adjustable speed PMSM drive accordingly [4-5].
Figure 1. Schematic Block Diagram of Closed Loop Model of Adjustable Speed PMSM Drive
2. SYSTEM DESCRIPTION
The complete set-up of the developed model has been represented in Figure 2, The system
comprising of four (05) necessary components like SPWM based Voltage Source Inverter (VSI), PMSM
motor, speed and position sensor, controller (Speed and current) and the mechanical block. Here an absolute
position encoder is mounted on the rotor, which is assumed capable of providing the rotor position
information at each instant of time. The inverter is assumed powered from the DC side by a constant DC
voltage source, Vdc which is not varied. The controller realization starts with the adjustable speed reference,
at which the drive is intended to run, irrespective of the load torque variation within a feasible range [6-7].
The information of this reference speed is provided to a speed controller, which is a PI controller in this
model in order to track the reference speed [8]. The speed controller output forms the torque or current
reference, which is fed to next controller which is the current controller. The current controller output is fed
to the block responsible for the generation of the switching signals of the six power electronic devices of the
VSI. The speed control arrangement consists of two loop control system with an outer speed loop and inner
current loop. The current controller in this case is also a PI controller. It starts with an adjustable speed
reference, with which the actual machine speed, obtained by integrating the rotor position information
provided by the absolute position encoder is compared [9].
Figure 2. The Scheme of the Closed Loop Adjustable-Speed PMSM Drive with the Sinusoidal Pulse Width
Modulated Inverter

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IJPEDS Vol. 7, No. 4, December 2016 : 1085 – 1099
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The Permanent Magnet Synchronous Machine is analyzed on the basis of “D-Q axes rotor reference
frame theory” and the control on the machine is exercised by controlling the q-axis component of the
armature current.
3. DESIGN AND MATHEMATICAL ANALYSIS OF CLOSED LOOP ADJUSTABLE SPEED
PMSM DRIVE
The design of the speed controller is important from the point of view of imparting desired transient
and steady state characteristics to the speed-controlled PMSM drive system. Selection of gain and time
constants of such a controller by using the symmetric-optimum principle is straight forward if the d axis
stator current is assumed to be zero [10]. As the closed loop system yields a two loop control structure i.e.
outer loop is a speed controller loop and inner loop is a current controller loop.
Figure 3. Systematic Block Diagram Representation of a Closed Loop Adjustable Speed PMSM Drive
The reset time and gain of the outer speed PI controller should be critically found out to ensure that
the dynamic response of the drive is satisfactory, zero steady state speed error is ensured and the system
remains stable. For the closed loop model, block diagram of complete drive system is represented in Figure 3.
The transfer functions of all the blocks are determined; afterwards the gain and time constants are calculated
in order to design the proposed closed loop model of an adjustable speed PMSM drive [11]. The speed PI
controller output is treated as the q axis current reference iqs, which is responsible for generation of
electromagnetic torque, for vds=0, as the approximate analysis of the PMSM suggests. This current reference
is compared with actual ’q’-component of armature current (iqs) and the current error is fed to the
proportional integral controller with unity gain. The inner current loop is provided for controlled yet fast
dynamic of current with least sudden overshoot [12]. The Permanent magnet synchronous motor can be
modelled by the following set of equations
 afidsLdr riqspLqRsvqs  )( (1)
iqsLqridspLdRsvds  )( (2)
The Electromagnetic torque is given by
TlrB
P
rJp
P
Te  
2 12
(3)
)(
22
3
dsqsqsdsem ii
P
T   (4)
Where qsqqs iL and afdsdds iL   (5)
The motor q axis voltage equation with d-axis current being zero becomes

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( ) (6)
And the electromechanical equation is
(7)
Where the electromagnetic torque is given by
(8)
If the load is assumed to be frictional, then
(9)
This upon substitution gives the electromechanical equation as
( ) (10)
Where (11)
( ) (12)
The inverter is modelled as gain with a time lag by
Gr (13)
Where ⁄ (14)
⁄ (15)
Where Vdc is the dc-link voltage to the inverter, Vcm is the maximum control voltage and fc is the switching
(carrier) frequency of the inverter.
The induced emf loop crosses the q-axis current loop and it could be simplified by moving the
pick–off point for the induced emf loop from speed to current output point. This gives the current-loop
transfer function from Figure 4.
Figure 4. Block Diagram of the Speed-Controlled PMSM drive
)}1)(1(){1()1(
)1(
)(
maabinmainc
main
i
sTsTKKsTsTKKH
sTKK
sG


 (16)

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Where
afmtb
t
m
t
m
s
q
a
s
a KKKBTBKR
L
TRK
J
 ,,
1
,,
1
(17)
The following approximations are valid near the vicinity of crossover frequency
11  Tr
s
(18)
TT mm
ss 1
(19)
     TTTT inaina
sss 111 Tar
s1
(20)
Where inaar TTT  (21)
With this the current loop transfer function is approximated as
2
)()(
)(
)(
sTTsTKKHTKK
sTKK
sG
marmaincmab
main
i

 (22)
)1)(1(
)()(
21 sTsT
s
K
KT
sG
b
inm
i

 (23)
Where
b
min
in
ba
m
K
TK
T
KK
T
TT  21 (24)
and
ba
arm
KK
TT
TT 21 (25)
Machine (armature) block can be represented as
(26)
Torque constant
( ) (27)
Mechanical gain
(28)
(29)
Where mechanical time constant
(30)

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Motor (mechanical)
(31)
Simplified current loop transfer function becomes
(32)
The proportional and integral gains of PI controller are derived as
(33)
(34)
Therefore the transfer function of PI controller is derived as
(35)
(36)
The speed loop with the simplified current loop is shown in Figure 5. Near the vicinity of cross over
frequency, the following approximations are valid
  TT mm
ss 1
(37)
   TTT ii
sss 
 111
(38)
  11  Ts  (39)
The speed loop with the simplified current loop is shown in Figure 5. Near the vicinity of cross over
frequency, the following approximations are valid
)1()1(
)(
m
mi
i
siP
S
sT
KK
X
sT
K
X
s
KsK
sG


 (40)
The speed loop transfer function with the approximate is given by
)1(
)1(
)( 2
wism
sswtmi
s
sTsTT
sTKHKKK
sG


 (25)
from which the closed loop speed transfer function is obtained as
)1(
)1(
23
*
s
s
s
gs
s
s
s
g
r
r
sT
T
K
KssT
sT
T
K
K
W
W


 (41)
Where
m
tmi
g
T
KKK
K  (42)

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Simplified speed control loop, Exact speed control loop using PID controller as shown in Figure 6
and Figure 7.
Figure 5. Current Control Loop Figure 6. Simplified Speed Control Loop
Figure 7. Exact Speed Control Loop Using PID Controller
4. PERFORMANCE OF CLOSED LOOP PMSM DRIVE USING PI CONTROLLER
PI control is a name commonly given to two-term control; P stands for Proportional term and I for Integral
term. P-I controller is mainly used to eliminate the steady state error resulting from P controller. The
characteristics of PI control actions are (i) steady state accuracy improves (ii) rise time increases
(iii) bandwidth decreases (iv) overshoot reduces. Increasing the proportional gain speeds up the transient
response (reference tracking response and disturbance rejection response) and decreases the output offset
from the desired constant reference value. Increasing gain may lead to instability [13-14]. Actually by
increasing gain increases the size of the control signal, this may lead to saturation or limiting problems with
the system actuators. The presence of integral action in a controller usually leads to a wider range of closed
loop transient responses sometimes unstable ones. It generally slows down the response. The addition of
integral action eliminates constant offset signals in steady state for both reference tracking and disturbance
rejection responses. In this proposed closed loop model of PMSM drive, PI controller is chosen as a speed as
well as a current controller in different combinations so as to reach the desired performance of the
system [15-16]. The transfer-function of the PI controller is given as )
s
K
(K(s)G I
pPI  ... (43) where
pK and IK are the proportional and integral gains respectively. SIMULINK block diagram of a closed loop
PMSM drive using P current controller and PI speed controller as shoen in Figure 8. SIMULINK block
diagram of a closed loop PMSM drive using current, speed both PI controller, and P current controller
and PID speed controller as shown in Figure 9 and Figure 10.
Figure 8. SIMULINK Block Diagram of a Closed Loop PMSM Drive Using P Current Controller and PI
Speed Controller

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Figure 9. SIMULINK Block Diagram of a Closed Loop PMSM Drive Using Current and Speed Both PI
Controller
5. PERFORMANCE OF CLOSED LOOP PMSM DRIVE USING PID CONTROLLER
PID control is a name commonly given to three-term control; P stands for Proportional term, I for
Integral term, and D for Derivative term of the controller. PID controllers are probably the most widely used
industrial controllers. Basically PID controller is a combination of PI and PD controllers. The necessity of
using a derivative gain component in addition to the PI controller is to eliminate the overshoot and the
oscillations occurring in the output response of the system [17-18]. It is a lag-lead compensator. One of the
main advantages of the P-I-D controller is that it can be used with higher order processes including more than
single energy storage. Thus the PID control may be used when the system requires improvements in both
transient and steady state performances. The characteristics of PID control actions are (i) no oscillations (ii)
improves the transient response (iii) improves the steady state performance. An advantage of using a
derivative control action is that it responds to the rate of change of the actuating error and can produce a
significant correction before the magnitude of the actuating error becomes too large. Derivative control
action thus anticipates the actuating error, initiates an early corrective action, and tends to increase the
stability of the system. Therefore derivative control action is always used in combination with proportional or
proportional plus integral control action. In this proposed model, both the current and speed loop are
designed with PID controller for getting improved response [19-20]. The transfer-function of the PID
controller is given as )
s
K
sK(K(s)G I
DpPID  ,........ (44) Where pK , DK and IK are the
proportional, derivative and integral gains respectively. Here the selection of three gains is such that the two
zeros are to be placed at the negative real axis. So essentially the transfer-function becomes
s
)z)(szK(s
(s)G c2c1
PID

 .....(45); where proportional gain, )zz(KK 2c1cp  ....... (29),
derivative gain, KKD  ........ (46) and integral gain 21 ** ccI zzKK  .......(47)
Figure 10. SIMULINK Block Diagram of a Closed Loop PMSM Drive Using P Current Controller and PID
Speed Controller

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6. DISCUSSION AND COMPARATIVE PRERFORMANCE EVALUATION BETWEEN PI AND
PID CONTROLLED PMSM DRIVE
The entire model of PMSM closed loop drive is divided into two loops, inner loop current and outer
loop speed as shown in Figures 11-28. In the first case current control loop is determined using mathematical
block diagram representation, using PI controller. By getting the simplified and exact current loop transfer
functions of current controller, it is added to the speed control loop i.e. outer loop using PI controller.
Simplified current loop transfer function is coupled with simplified speed loop and exact current control loop
is coupled with exact speed control loop. Hence a typical performance study is introduced to familiar with the
different performance indices of the closed loop system corresponding to time domain and frequency domain
specifications. The time domain specifications of overall closed loop system like peak time, rise time, settling
time, steady state value etc are determined analytically which in turn helps to familiar with the performance
of PI controlled PMSM drive accordingly [21-22]. The frequency domain specifications of the system like
gain margin, phase margin, gain and phase cross over frequencies are also determined by bode- diagram
representation respectively. The stability analysis of overall speed and current loop representation of closed
loop adjustable speed PMSM drive can be determined by root locus plot representation. Therefore different
performance indices can be taken for the determination of dynamic as well as steady state response of closed
loop PMSM drive As the overall structure comprising of two loops and two kinds of classical controllers
such as PI and PID are taken, therefore different combinations of controllers are taken into consideration for
the performance study of closed loop model [23].
The performance of a control system is much dependent on its time domain specifications. The time
response of a control system is usually divided into two parts: the transient response and steady-state
response. The transient response of a practical control system often exhibits damped oscillations before
reaching steady state. Here in this section for the determination of time domain performance characteristics
four combinations of different classical controllers (PI & PID) are taken into consideration. By observing the
different specifications of time domain analysis like rise time, settling time, peak overshoot, percentage error
etc. a comparative study may be carried out. As per the convention rise time is the time required for the
response to rise from 10%-90% of the final value in cases of over damped or critically-damped systems, or
0-100% of the final value in case of under damped systems [24]. Here in this analysis rise time is much lesser
(i.e. 0.221 sec) in the 4th
case i.e. if the combination of current and speed both loop can be configured by
using a PID controller. Therefore the presence of derivative control in both loops improves system response.
The time required for the response to damp out all the transients is commonly called the settling time. The
settling time is related to the largest time constant of the system. Since the settling time is inversely
proportional to the undamped natural frequency of the system, value of damping ratio is usually determined
from the requirement of permissible maximum overshoot. It is observed that among the four cases the system
is settled faster in the 4th
case i.e. current loop PID and speed loop PID. However performances of all the
systems are determined by this specification. Peak overshoot is the peak value of the response curve
measured from unity. If the final steady-state value of the response differs from unity, then it is common to
use percentage overshoot. The amount of maximum overshoot directly indicates the relative stability of the
system [25]. It is observed that the addition of derivative control action in both the loops, percentage
overshoot is decreased and hence improves system performance. Steady state error is the difference between
actual output and desired output as time tends to infinity. The speed response is found to be slightly under
damped, caused by the speed controller setting. The electromagnetic torque response is found to be almost
ripple-free, mainly because of the SPWM inverter and the machine inductances. The speed response shows a
slight overshoot as desired, because while designing the speed loop, the damping ratio has been
assumed 0.707. The developed torque is initially high in order to bring the speed near to its set quickly. The
steady state error in speed is obtained to be zero and the speed settles within a time duration which is
acceptable. Better speed and torque response can be achieved by designing a PID speed controller as
compared to a PI controller [26-27].
By the term frequency response, we mean the steady-state response of a system to a sinusoidal
input. In frequency-response methods, we vary the frequency of the input signal over a certain range
and study the resulting response. Bode diagram is one of the effective method for determination of frequency
response characteristics of a closed loop system. The phase margin is that amount of additional phase lag at
the crossover frequency required to bring the system to the verge of instability. The crossover frequency is
the frequency at which the magnitude of open loop transfer function is unity [28-29]. On the other hand gain
margin is the reciprocal of the magnitude at the frequency at which the phase angle is -180°. Thus a positive
gain margin means that system is stable, and a negative gain means that the system is unstable. Here in the
entire cases gain margin, phase margin, cross over frequencies are determined and it is observed that the gain
margin is positive in all the cases and phase margin is increased with the addition of derivative control action
in both the cases.

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The root locus method yields a clear indication of the effects of parameter adjustment. By using the
method, the designer can predict the effects on the location of the closed loop poles by varying the gain value
or adding open-loop poles and/or open-loop zeros. By observing the root locus plots approximate stability
can be obtained very quickly which in turn helps to familiar with the stability performance of the system
accordingly [30].
Figure 11. Step Response Representation of Exact
Current Loop
Figure 12. Step Response Representation of
Simplified Speed Control Loop with PI Controller
Figure 13. Step Response Representation of
Simplified Speed Control Loop with PID Controller
Figure 14. Comparative Step Response
Characteristics of Overall Speed and Current Loop
Using PID and PI Controller
Figure 15. Comparative Bode Diagram
Representation of Overall Speed and Current Loop
Using PID And PI Controller
Figure 16. Comparative Root Locus Plot
Representation of Overall Speed and Current Loop
Using PID and PI Controller

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Figure 17. Actual Speed vs. Time Waveform using P
Current Controller and PI Speed Controller of the
Closed Loop Adjustable Speed PMSM Drive When a
Step Change in Reference Speed of 20 rad/sec is
introduced
Figure 18. Electromagnetic Torque vs. Time
Waveform of the Closed Loop Adjustable Speed
PMSM Drive using P Current Controller and PI
Speed Controller
Figure 19. Actual Speed vs. Time Waveform using
Current and Speed Both PI Controller of the Closed
Loop Adjustable Speed PMSM Drive When a Step
Change in Reference Speed of 20 Rad/Sec Is
Introduced
PMSM Drive Using Current and Speed Both PI
Controller
Figure 21. Actual Speed vs. Time Waveform Using
P Current Controller and PID Speed Controller of the
Closed Loop Adjustable Speed PMSM Drive When a
Step Change in Reference Speed Of 20 Rad/Sec Is
Introduced
PMSM Drive Using P Current Controller and PID
Speed Controller

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6.1 Different Case Studies
Case 1: Current loop PID, Speed loop PI
Figure 23. Step Response Characteristics of Overall Speed and Current Loop Using PI and PID Controller
Figure 24. Bode Diagram Representation of Overall
Speed and Current Loop Using PI and PID
Controller
Figure 25. Root Locus Plot Representation of
Overall Speed and Current Loop Using PI and PID
Controller
Case 2: Current loop PID, Speed loop PID
Figure 26. Step Response Characteristics of Overall Speed and Current Loop Both Using PID Controller

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Figure 27. Bode Diagram Representation of Overall
Speed and Current Loop Both Using PID Controller
Figure 28. Root Locus Plot Representation of
Overall Speed and Current Loop Both Using PID
Controller
Table 1. Performance of Time Domain Analysis
Speed controller Transfer
Function
Current controller
Transfer Function
Rise Time
(sec)
Settling Time
(sec)
Peak overshoot (%) % of error
( ) ( )
4.54 14.5 10.2 0
( ) ( )
0.505 sec 2.59 sec 9.32 0
( ) (
)
2.01 sec 9.8 sec 8.57 0
( ) (
)
0.221 sec 1.95 sec 4.96 0
7. CONCLUSIONS
This paper significantly describes the comparative performance analysis of closed loop model of an
adjustable speed PMSM drive using classical PI and PID controller. The different performance indices
related to time domain specifications of the system like settling time, rise time, peak overshoot, steady state
error and frequency domain specifications like gain margin, phase margin, cross over frequencies etc. are
determined analytically. Overall Performance of the closed loop model of the PMSM drive is tested
and monitored. Hence the system behaviour is sensitive for parameter variations in order to tuning the
controller gains. Therefore this model can predict dynamic as well as steady state behaviour of the system
respectively. Hence a more stable performance with reduced overshoot, faster response, better accuracy can
be gained by designing a PID controlled adjustable speed PMSM drive. By comparing all the performance
indices, the drawbacks of a classical PI controller as current and speed can be overcome by incorporating a
classical PID controller for widespread applications. By taking the two loops control structure consisting of
outer loop speed and inner loop current, the overall structure can be implemented using different classical
controllers and soft computing controllers in future. Finally one hardware/experimental setup will be
developed for the validation of the results obtained from analytical studies. Thus the choice of controller may
be an effective tool for closed loop control of a PMSM drive in specific environment for performance
optimization.
APPENDIX
The parameters of the Permanent Magnet Synchronous Machine (PMSM), on which the studies are
made in this paper, are: Number of pole P=4, armature resistance Rs= 3.2 ohm, combined moment of inertia
J= 0.061 kg-m2
, damping co-efficient Fn=0.45 Nm-s/radian, d-axis inductance Ld=0.053H, q-axis inductance
Lq=0.041H, torque constant Kt=0.927N.m/A, mechanical gain Km=100 rad/s/Nm, electrical gain Ka=0.3125,
motor mechanical time constant Tm=6.1s, dc link voltage Vdc=96V, switching frequency fc=2Khz, maximum
control voltage Vcm=10V.

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BIOGRAPHIES OF AUTHORS
Chiranjit Sain received B.Tech in Electrical Engineering from Asansol Engineering College,
Asansol, India and also received M.Tech from National Institute of Technical Teachers Training
and Research, (NITTTR) Kolkata, India in the specialization of Mechatronics Engineering under
Electrical Engineering department. Presently he is working as an Assistant Professor in the
Electrical Engineering Department at Siliguri Institute of Technology, Siliguri India since 2010
and also pursuing Ph.D in the Electrical Engineering Department from National Institute of
Technology, Meghalaya, India. His present research of interests includes Electrical Machine-
Drives Systems, Power Electronics Converters, Soft-computing analysis etc.
Atanu Banerjee was born in Asansol, West Bengal, India. He received his B.E. degree in Power
Electronics Engg. from the Nagpur University in the year of 2001 and M.E in Electrical Engg.
Department with specialization in Power Electronics & Drives in 2008 from Bengal Engineering
& Science University, Shibpur (Now IIEST, Shibpur). He has completed his Ph.D in Electrical
Engg from the Indian School of Mines, Dhanbad, India in 2013. He worked in industries for
almost three years & has academic experience of more than 12 years. Presently he is in National
Institute of Technology, Meghalaya as an assistant professor and Head of the Department in the
Electrical Engg. Department. His research interests include induction heating and high frequency
switching in power electronic converters, adjustable speed drives. He has published few books &
several journal/conference research papers. Also Dr. Banerjee has filed two patents to the Govt.
of India. Currently he is guiding few research scholars for M-Tech & Ph.D.
Pabitra Kumar Biswas was born in West Bengal, India in 1980. He completed his B.Tech from
Asansol Engg. College, WBUT, India. He received his ME. Degree from Bengal Engineering
and Science University, West Bengal, India and PhD. Degree in Electrical Engineering from
National Institute of Technology, Durgapur, India. He is presently working as an Assistant
Professor and Head of the Department in Electrical Engineering at National Institute of
Technology, Mizoram, India. He has published a numbers of research papers in
National/International Conference Records/Journals. From 16.07.2007 to 05.02.2015, he served
as an Assistant Professor in Electrical Engineering in Asansol Engineeng College, Asansol,
India. His research interests include Electromagnetic Levitation System, Active Magnetic
Bearing and Power electronics.

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