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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 7, No. 3, September 2016, pp. 625~637
ISSN: 2088-8694, DOI: 10.11591/ijpeds.v7i3.9774  625
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
Design and Simulation of PFC Converter for Brushless SRM
Drive
M. Rama Subbamma1
, V. Madhusudhan2
, K.S.R Anjaneyulu3
1
Department of Electrical and Electronics Engineering, G. H. Patel College of Engineering and Technology,
Kadapa, India
2
Kandula Obul Reddy Memorial College of Engineering (K.O.R.M.C.E), Kadapa, India
1,3
EEE Dept., Jawaharlal Nehru Technological University (JNTUA), Anantapuram, India
Article Info ABSTRACT
Article history:
Received Nov 12, 2015
Revised Mar 5, 2016
Accepted Apr 6, 2016
In most of the industrial applications, Switched Reluctance Motor (SRM) is
mainly employed due to the reasons like having low maintenance and high
efficiency. SRM consists of windings only on its stator, but would not have
any windings on rotor thus having very simple construction. The available
supply is AC. But AC cannot be directly supplied to SRM when used for air-
conditioner application which is employed in this paper. Also power factor in
the system needs to be corrected when using a SRM drive. Thus AC supply
is fed to power factor correction (PFC) converter which is Buck-Boost
converter here in this paper. The output of the PFC converter is fed to SRM
through a simple asymmetrical converter. This PFC circuit consists of a
simple diode bridge rectifier with Buck-Boost DC-DC converter. A suiTable
control circuit was proposed to control the input power factor under various
loading conditions. This paper gives analysis of SRM drive for air-
conditioner application with Buck-Boost converter based PFC circuit. A
Matlab/simulink based model is developed and simulation results are
presented. Simulation is carried out for different speed response.
Keyword:
Air-Conditioner
Buck-Boost
Converter
DC Link
Power Factor Correction (PFC)
Switched Reluctance Motor
(SRM)
Copyright © 2016 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
M. Rama Subbamma,
Department of Electrical and Electronics Engineering,
GCET, Kadapa., A.P., India
(Affiliated to JNTUA).
Email: ramasekharslv@gmail.com
1. INTRODUCTION
Switched Reluctance Motor drives are introducing in the Electrical Engineering in the year 1830’s
[1]. The advantages of SRM are high efficiency and low maintenance. SRM which is very simple
constructional wise gained its applications in many industries and SRM attracted the interest of engineers due
to advancement in electronic manufacturing [2, 3]. Torque equation of a particular motor decides its
applications and this torque is of two types electromagnetic and reluctance torque. Induction motor is an
example of machine running with electromagnetic torque. But high maintenance and low efficiency makes
induction motor not suiTable for all kinds of applications.
This problem can be addressed by using a Reluctance motor which operates on basic principle of
alignment of rotor to low reluctance path produced when the pair of poles in the stator is excited. But having
high torque ripples [4] with magnetically non-linear is disadvantage. Since rotor does not contain any
windings, rotor of SRM can be run at high speeds.
For the operation of SRM, at a time pair of poles on the stator should be excited. This produces the
flux, rotor try to align in the direction of the stator flux, by switching the phase at a time we can achieve the
continuous rotation. For this switching operation of phases of SRM, many converters are available. In this
paper we have considered air-conditioner application, so we are choosing simple asymmetrical converter for
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637
626
SRM drive. Since the excitation is DC and supply is AC needed a AC to DC converter [5-8]. A simple AC-
DC diode bridge rectifier is used in this paper. But production of power quality problems [9] due to diode
bridge rectifier needs power factor correction converter which is Buck-Boost converter in this paper. The
converter which is able to deliver output voltages at both higher as well as lower than (and even equal to) the
input voltage is referred to as a buck-boost (or step-up/step-down) power converter [10]. The input current
for a buck-boost power stage is discontinuous or pulsating due to the power switch current that pulses from
zero to IL every switching cycle [11]. The switched reluctance machine model is highly nonlinear and the
process outlined in [12] has been used to aid in design. Buck-Boost converter for PFC [13] was used as a
power factor corrector here. In this paper, results for SRM drive system used with both diode bridge
converter and with Buck-Boost converter are compared. SRM with different conditions like SRM at starting
conditions, constant DC link voltage, step change in DC link voltage and SRM with step variation in AC
voltage are discussed in this paper with Matlab/Simulink models and results.
2. OPERATION OF SRM
Like all other electrical machines, SRM also consists of a stator and a rotor. Stator of SRM consists
of windings but rotor will not have any windings on it. Rotor of SRM consists of just steel laminations like
salient poles. Stator poles are also salient type and thus SRM can be called as doubly salient type machine.
SRM works on basic principle of operation when a pair of stator poles is excited; the rotor tends to align in
the direction of low reluctance path provided by stator poles. Thus by sequential switching of stator poles,
rotor tends to rotate producing torque. This produced torque is called reluctance torque since the rotation is
produced due to reluctance.
Figure 1. Basic diagram of SRM
with 6/4 pole
Vdc
Figure 2. Basic Aligned rotor
position
Vdc
Figure 3. Basic Unaligned rotor
position
The rotation of rotor depends on the switching sequence of excitation to the stator poles. To reduce
the complexity of magnetic locking the number of rotor poles should be different to that of stator. A simple
6/4 SRM is shown in Figure 1. SRM in its operation consists of two rotor positions aligned position and
unaligned position of rotor.
When the stator pair of poles are excited, produces flux and rotor tends to align to low reluctance
path called aligned position of rotor. Unaligned position is the position of rotor when the rotor pole axis is not
same as stator pole axis. Aligned and unaligned positions of rotor are shown in Figure 2 and Figure 3
respectively.
3. SRM CONVERTER
To drive SRM, a converter is needed and in this paper a simple asymmetrical converter shown in
Figure 4 is employed. This asymmetrical converter continuously switches the phases of stator and thus the
rotor continuously rotates. Figure 4 shows the basic circuit of asymmetrical converter to drive SRM. By
properly switching the switches in converter, the phase of SRM will be excited and hence rotor rotates.
Controlling the switching operation controls the SRM. Switching on switches S1 and S2 energizes phase-A
of SRM and similarly by proper switching switches S3, S4 and S5, S6 energizes phases B and C respectively.
For current control mode, lower switch in leg will be turned ON continuously switching upper switch
through the operation of one phase. Thus a 3-phase 6/4 pole SRM operates.
IJPEDS ISSN: 2088-8694 
Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma)
627
Phase a Phase b Phase c
Vdc
S1
S2
D1
D2 S3
S4
D4
D3
S5
S6
D6
D5
Figure 4. Asymmetrical converter of 6/4 pole SRM Drive
4. DIODE BRIDGE RECTIFIER FED SRM DRIVE
A simple block diagram of SRM drive is shown in Figure 5. The input AC supply is fed to diode
bridge rectifier which converts AC-DC. A capacitor is connected at the output of rectifier to maintain
constant DC voltage at the input of asymmetrical converter. The diode bridge rectifier induces harmonics in
the system at the source side giving less efficiency, so needs to be controlled. Buck boost converter for power
factor correction shown in Figure 6 is used for mitigating power quality. Buck-Boost converter consists of
two number of MOSFET switches and with control strategy for PFC gives high efficiency.
SRM
Converter SRM Motor
Diode bridge
rectifier
L
C
6/4 Pole SRM
Motor
Figure 5. Block diagram of SRM Drive
SRM
Converter SRM Motor
Buck-Boost
Converter
L
C
6/4 Pole SRM
Motor
Figure 6. Proposed SRM drive
5. DESIGN OF BUCK-BOOST CONVERTER
Buck-boost converter
LVin
S D
C
R Vo
Iin I0
Figure 5(a). Buck-boost converter
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637
628
when switch is ON
LVin
C R
Figure 5(b). Buck-boost converter switch is ON
; (1)
when S is OFF
L
C
R
I
Figure 5(c). Buck-boost converter switch is OFF
(2)
= (3)
Capacitor voltage ripple
(4)
Calculation parameters of Buck-boost converter
Here we have considered 400W SRM drive, Vin=320V
V0=200V, fs=6kHz
Duty cycle :
D=61.5%
Vin
IL
I1
t1
Vc
t
t
t
t2
IL
Vc

Figure 7. Waveforms Showing Voltage Output with Change in Inductor Current Along with Change in
Capacitor Voltage
IJPEDS ISSN: 2088-8694 
Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma)
629
Calculation of Inductance:
Assuming ripple current of 5%
I0 of SRM drive fixed at 15A
when switch is ON, inductor is carrying output current
Calculation of capacitance
of
Assume ripple frequency 2F
Since practical capacitor exist only for rating of 2000µF
Critical Inductance to operate in DCM mode:
; ( )
Single phase
AC supply
PI Controller
-1
IS
I*
Triangular
waveform
Ve Vdc
V*dc
PFC Control
PWM
Position
sensor
PFC Buck-Boost converter
Phase A
Phase B Phase C SRM
Motor
SRM Asymmetrical converter
VS
Vdc
SW1
SW2
SW1 SW2
TO TO
Ls
Cs
Figure 8. Control Scheme for PWM rectifier fed SRM Drive with PFC Buck-Boost converter
6. MATEMATICAL MODELLING OF SRM DRIVE
SRM drive with diode bridge rectifier at the input side and asymmetrical converter driving SRM is
shown in Figure 8. Figure 9 represents the equivalent circuit of SRM of a phase. Flux linkage to the phase
controls the induced EMF in that particular phase and the flux linkage depends on current in the windings
and rotor position.
dt
id
e
),(

R
V
Figure 9. Equivalent circuit of switched reluctance motor
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637
630
(9)
where V is the applied phase voltage to phase, R is the phase resistance, and e is back EMF.
Ordinarily, e is the function of phase current and rotor position, and flux λ can be expressed as the
product of inductance and winding current:
(10)
and from (8) the function can be rewritten as:
(11)
The general torque expression is:
∫
(12)
In general, the dynamical model of a SRM is characterized by the rotor angular speed and angular
position relationship:
(13)
T- (14)
+ (15)
The average torque can be written depending on the number of phases of the SRM as:
T=∑ (16)
7. SIMULATION ANALYSIS
Table 1. System Parameters
Parameter Value
Power 4KW
Input Voltage 320V
Output Voltage 200V
Inductance 27.3mH
Capacitance 1537 µF
Switching Frequency 6 KHz
Duty Cycle 61.5%
Critical Inductance 427µH
Critical Capacitance 6.25 µF
Table 2. Drive Parameters
Parameter Value
Stator Resistance 0.5Ω
Aligned Inductance 20mH
Unaligned Inductance 330 µH
Maximum Current 20A
Table 1 gives us the data used in the simulation process and Table 2 is the data used in drive system.
By using the above data simulation results were obtained. Different cases were obtained with different
speeds.
IJPEDS ISSN: 2088-8694 
Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma)
631
7.1. Case 1: When rotor is rotating at 500 RPM
Figure 10. Simulation results of source voltage, source current, torque and armature currents
Figure 11. Simulation results of DC link voltage when speed is 500 rpm
Figure 12. Simulation results of speed
As case 1 we have considered the discussed Buck-Boost converter fed SRM drive running at 500
rpm. Figure 10 shows the simulation result of source voltage, source current, torque in Nm and also armature
currents feeding the phases of SRM. Figure 11 shows the DC link voltage which is output of Buck-Boost
converter. Even the speed of SRM drive system shown in Figure 12 is 500 rpm, the DC link voltage
imaintained constant at 200 V.
Figure 13 shows the power factor with voltage and current being in phase maintaining unity. We can
observe there are no disturbances in source voltage and source current which are in-phase thus maintaining
the power factor nearer to unity. THD in Figure 14 is observed to be 0.20% which is very less. Buck-Boost
converter acting as PFC with control strategy regulates the source voltage and current when SRM is running
at 500 rpm.
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637
632
Figure 13. Simulation results of power factor with
voltage and current signal
Figure 14. Simulation results THD when the speed is
500 rpm
7.2. Case 2: When rotor is rotating at 1000 RPM
Figure 15. Simulation results of source voltage, source current, torque and armature currents
Figure 16. Simulation results of DC link voltage
when speed is 1000 rpm
Figure 17. Simulation results of speed
Figure 18. Simulation results THD when the speed is 1000 rpm
IJPEDS ISSN: 2088-8694 
Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma)
633
As case 2 we have considered the discussed Buck-Boost converter fed SRM drive running at 1000
rpm. Figure 15 shows the simulation result of source voltage, source current, torque in Nm and also armature
currents feeding the phases of SRM. Figure 16 shows the DC link voltage which is output of Buck-Boost
converter. Even the speed of SRM drive system shown in Figure 17 is 1000 rpm; the DC link voltage is
maintained constant at 200 V. We can observe there are no disturbances in source voltage and source current
which are in-phase thus maintaining the power factor nearer to unity. THD shown in Figure 18 is observed to
be 0.53% which is less and accepTable. Buck-Boost converter acting as PFC with control strategy regulates
the source voltage and current when SRM is running at 1000 rpm.
7.3. Case 3: When rotor is rotating at 1500 RPM
Figure 19. Simulation results of source voltage, source current, torque and armature currents
Figure 20. Simulation results of DC link voltage
when speed is 1500 rpm
Figure 21. Simulation results of speed
Figure 22. Simulation results THD when the speed is 1500 rpm
As case 3 we have considered the discussed Buck-Boost converter fed SRM drive running at 1500
rpm. Figure 19 shows the simulation result of source voltage, source current, torque in Nm and also armature
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637
634
currents feeding the phases of SRM. Figure 20 shows the DC link voltage which is output of Buck-Boost
converter. Even the speed of SRM drive system shown in Figure 21 is 1500 rpm; the DC link voltage is
maintained constant at 200 V. We can observe there are no disturbances in source voltage and source current
which are in-phase thus maintaining the power factor nearer to unity. THD shown in Figure 22 is observed to
be 0.38%. Buck-Boost converter acting as PFC with control strategy regulates the source voltage and current
when SRM is running at 1500 rpm.
7.4. Case 4: When rotor is rotating at 2000 RPM
Figure 23. Simulation results of source voltage, source current, torque and armature currents
Figure 24. Simulation results of DC link voltage and speed
Figure 25. Simulation results of current through inductor 1 and inductor 2, voltage across switches and
current through switches 1 and 2
IJPEDS ISSN: 2088-8694 
Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma)
635
Figure 26. Simulation results THD when the speed is 2000 rpm
As case 4 we have considered the discussed Buck-Boost converter fed SRM drive running at 2000
rpm. Figure 23 shows the simulation result of source voltage, source current, torque in Nm and also armature
currents feeding the phases of SRM. Figure 24 shows the DC link voltage which is output of Buck-Boost
converter and the speed at which the motor is rotating. Even the speed of SRM drive system shown in Figure
24 is 2000 rpm; the DC link voltage is maintained constant at 200 V. We can observe there are no
disturbances in source voltage and source current which are in-phase thus maintaining the power factor
nearer to unity. Buck-Boost converter acting as PFC with control strategy regulates the source voltage and
current when SRM is running at 2000 rpm. Figure 25 shows the Simulation results of current through
inductor 1 and inductor 2, voltage across switches and current through switches 1 and 2. This switching is
same for all the discussed cases. THD shown in Figure 26 is observed to be 0.26%.
7.5. Case 5: With input AC variation
Figure 27. Simulation results of source voltage, source current
Figure 28. Simulation results of torque and armature
currents
Figure 29. Simulation results of DC link voltage and
speed
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637
636
As case 5 we have considered the discussed Buck-Boost converter fed SRM drive running at 2000
rpm with variation in input. We can observe the change in input voltage decreases with increase in current.
Figure 27 shows the simulation result of source voltage, source current Figure 28 shows torque in Nm and
also armature currents feeding the phases of SRM. Figure 29 shows the DC link voltage which is output of
Buck-Boost converter and the speed at which the motor is rotating. Even the speed of SRM drive system is
2000 rpm with change in input; the DC link voltage is maintained constant at 200 V.
Figure 30. Simulation results of power factor with
voltage and current signal
Figure 31. Simulation results THD when there is
input variation
We can observe there are no disturbances in source voltage and source current which are in-phase
thus maintaining the power factor in Figure 30 nearer to unity. THD in Figure 31 is found to be 0.78%. Buck-
Boost converter acting as PFC with control strategy regulates the source voltage and current when SRM is
running at 2000 rpm with change in input. The comparison of THD for different conditions were shown in
Table 3.
Table 3. Comparison of THD’s for different conditions
Condition THD
When speed is 500 rpm 0.20%
When speed is 1000 rpm 0.53%
When speed is 1500 rpm 0.38%
When speed is 2000 rpm 0.26%
When there is input variation with speed 2000 rpm 0.78%
8. CONCLUSION
Maintain power factor is very much important in the present pollutant systems. The pollution is
produced in the power system network when non-linear loads are connected. When drive system is
connected, this induces harmonics which are not desirable. Here in this paper when SRM drive system is
connected the power factor correction is done with the help of converter which is used to drive SRM. The
converter switches the phases of SRM and thus SRM produces continuous torque. Here we have employed a
Buck-Boost converter to drive SRM and also as power factor correction. By employing a suiTable control
strategy for Buck-Boost converter, power factor correction was done. This system is validated with the
results considering different cases with different SRM drive speeds and with input variation. THD is found to
be very less for different conditions and THD were shown for all cases. Power factor was maintained nearer
to unity and shown. Results were obtained using Matlab/Simulink and the results for different cases were
validated maintaining constant output of Buck-Boost converter, nothing but DC link voltage when drive
system speed was changed.
REFERENCES
[1] Praveen Vijayraghavan, “Design of Switched Reluctance Motors and Development of a Universal Controller for
Switched Reluctance and Permanent Magnet Brushless DC Motor Drives”, Dissertation submitted to Virginia
Polytechnic Institute and State University, Blacksburg, Virginia, November 2001.
[2] T.J.E. Miller, "Switched Reluctance Motors and their Control”, Magna Physics &Oxford, 1993.
IJPEDS ISSN: 2088-8694 
Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma)
637
[3] Rik De Doncker, Duco W.J. Pulle and Andre Veltman, “Advanced Electrical Drives: Analysis, Modeling and
Control”, Springer, 2011.
[4] Michael T. DiRenzo, “Reluctance Motor Control – Basic Operation and Example Using the TMS320F240”,
Application Report SPRA420A, Digital Signal Processing Solutions, February 2000.
[5] R. Krishnan, Switched Reluctance Motor Drives, Boca Raton, FL: CRC Press, 2001.
[6] M. Cacciato, A. Consoli, G. Scarcella and G. Scelba, “A switched reluctance motor drive for home appliances with
high power factor capability”, in Power Electronics Specialists Conference - PESC 2008, Jun 15-19, 2008, pp.
1235 – 1241.
[7] W.K. Thong and C. Pollock, “Low-Cost Battery-Powered Switched Reluctance Drives with Integral Battery-
Charging Capability”, IEEE Trans. Industry Applications, Vol. 36, No. 6, pp 1676-1681,Nov./Dec.2000.
[8] R. Krisinan, G.H. Rim, Modeling, “Simulation an Analysis of Variable Speed Constant Frequency Power
Conversion Scheme with A Permanent Magnet Brushless DC Generator”, in Proc. 1988 IEEE Industrial
Electronics Society Conf, IECON, pp. 332 – 337.
[9] A. Rashidi, M. M. Namazi, A. Bayat and S.M. Saghaiannejad, “Power Factor Improvement Using Current Source
Rectifier with Battery Charging Capability in Regenerative Mode of Switched Reluctance Motor Drives”, in proc.
2013 IEEE conference.
[10] Robin Vujanic, Design and Control of a Buck-Boost DC-DC Power Converter, Semester Thesis July 2008.
[11] Everett Rogers, Understanding Buck-Boost Power Stages in Switch Mode Power Supplies, Application Report
SLVA059A - March 1999 − Revised November 2002.
[12] Jackson, T.W., “Analysis and Design of a Novel Controller Architecture and Design Methodology for Speed
Control of Switched Reluctance Motors”, MS thesis, Virginia Tech, 1996.
[13] An AdjusTable-Speed PFC Bridgeless Buck–Boost Converter-Fed BLDC Motor Drive, IEEE transactions on
industrial electronics, vol. 61, no. 6, June 2014.
[14] Kiran Kumar, G.R.K Murthy, S S Srinivas Addala, “Analysis and Design of a Novel Controller Architecture and
Design Methodology for Speed Control of Switched Reluctance Motors”, International Journal of Power
Electronics and Drive System (IJPEDS) Vol. 5, No. 1, July 2014, pp. 83~92.
[15] N.V. Grebennikov, A.V. Kireev, N.M. Kozhemyaka , “Mathematical Model of Linear Switched Reluctance Motor
with Mutual Inductance Consideration”, International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 6, No. 2, June 2015, pp. 225~232.
[16] N.C. Lenin, R. Arumugam, “Design and Experimental Verification of Linear Switched Reluctance Motor with
Skewed Poles”, International Journal of Power Electronics and Drive System (IJPEDS) Vol. 6, No. 1, March 2015,
pp. 18~25.

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Design and Simulation of PFC Converter for Brushless SRM Drive

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 7, No. 3, September 2016, pp. 625~637 ISSN: 2088-8694, DOI: 10.11591/ijpeds.v7i3.9774  625 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS Design and Simulation of PFC Converter for Brushless SRM Drive M. Rama Subbamma1 , V. Madhusudhan2 , K.S.R Anjaneyulu3 1 Department of Electrical and Electronics Engineering, G. H. Patel College of Engineering and Technology, Kadapa, India 2 Kandula Obul Reddy Memorial College of Engineering (K.O.R.M.C.E), Kadapa, India 1,3 EEE Dept., Jawaharlal Nehru Technological University (JNTUA), Anantapuram, India Article Info ABSTRACT Article history: Received Nov 12, 2015 Revised Mar 5, 2016 Accepted Apr 6, 2016 In most of the industrial applications, Switched Reluctance Motor (SRM) is mainly employed due to the reasons like having low maintenance and high efficiency. SRM consists of windings only on its stator, but would not have any windings on rotor thus having very simple construction. The available supply is AC. But AC cannot be directly supplied to SRM when used for air- conditioner application which is employed in this paper. Also power factor in the system needs to be corrected when using a SRM drive. Thus AC supply is fed to power factor correction (PFC) converter which is Buck-Boost converter here in this paper. The output of the PFC converter is fed to SRM through a simple asymmetrical converter. This PFC circuit consists of a simple diode bridge rectifier with Buck-Boost DC-DC converter. A suiTable control circuit was proposed to control the input power factor under various loading conditions. This paper gives analysis of SRM drive for air- conditioner application with Buck-Boost converter based PFC circuit. A Matlab/simulink based model is developed and simulation results are presented. Simulation is carried out for different speed response. Keyword: Air-Conditioner Buck-Boost Converter DC Link Power Factor Correction (PFC) Switched Reluctance Motor (SRM) Copyright © 2016 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: M. Rama Subbamma, Department of Electrical and Electronics Engineering, GCET, Kadapa., A.P., India (Affiliated to JNTUA). Email: ramasekharslv@gmail.com 1. INTRODUCTION Switched Reluctance Motor drives are introducing in the Electrical Engineering in the year 1830’s [1]. The advantages of SRM are high efficiency and low maintenance. SRM which is very simple constructional wise gained its applications in many industries and SRM attracted the interest of engineers due to advancement in electronic manufacturing [2, 3]. Torque equation of a particular motor decides its applications and this torque is of two types electromagnetic and reluctance torque. Induction motor is an example of machine running with electromagnetic torque. But high maintenance and low efficiency makes induction motor not suiTable for all kinds of applications. This problem can be addressed by using a Reluctance motor which operates on basic principle of alignment of rotor to low reluctance path produced when the pair of poles in the stator is excited. But having high torque ripples [4] with magnetically non-linear is disadvantage. Since rotor does not contain any windings, rotor of SRM can be run at high speeds. For the operation of SRM, at a time pair of poles on the stator should be excited. This produces the flux, rotor try to align in the direction of the stator flux, by switching the phase at a time we can achieve the continuous rotation. For this switching operation of phases of SRM, many converters are available. In this paper we have considered air-conditioner application, so we are choosing simple asymmetrical converter for
  • 2.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637 626 SRM drive. Since the excitation is DC and supply is AC needed a AC to DC converter [5-8]. A simple AC- DC diode bridge rectifier is used in this paper. But production of power quality problems [9] due to diode bridge rectifier needs power factor correction converter which is Buck-Boost converter in this paper. The converter which is able to deliver output voltages at both higher as well as lower than (and even equal to) the input voltage is referred to as a buck-boost (or step-up/step-down) power converter [10]. The input current for a buck-boost power stage is discontinuous or pulsating due to the power switch current that pulses from zero to IL every switching cycle [11]. The switched reluctance machine model is highly nonlinear and the process outlined in [12] has been used to aid in design. Buck-Boost converter for PFC [13] was used as a power factor corrector here. In this paper, results for SRM drive system used with both diode bridge converter and with Buck-Boost converter are compared. SRM with different conditions like SRM at starting conditions, constant DC link voltage, step change in DC link voltage and SRM with step variation in AC voltage are discussed in this paper with Matlab/Simulink models and results. 2. OPERATION OF SRM Like all other electrical machines, SRM also consists of a stator and a rotor. Stator of SRM consists of windings but rotor will not have any windings on it. Rotor of SRM consists of just steel laminations like salient poles. Stator poles are also salient type and thus SRM can be called as doubly salient type machine. SRM works on basic principle of operation when a pair of stator poles is excited; the rotor tends to align in the direction of low reluctance path provided by stator poles. Thus by sequential switching of stator poles, rotor tends to rotate producing torque. This produced torque is called reluctance torque since the rotation is produced due to reluctance. Figure 1. Basic diagram of SRM with 6/4 pole Vdc Figure 2. Basic Aligned rotor position Vdc Figure 3. Basic Unaligned rotor position The rotation of rotor depends on the switching sequence of excitation to the stator poles. To reduce the complexity of magnetic locking the number of rotor poles should be different to that of stator. A simple 6/4 SRM is shown in Figure 1. SRM in its operation consists of two rotor positions aligned position and unaligned position of rotor. When the stator pair of poles are excited, produces flux and rotor tends to align to low reluctance path called aligned position of rotor. Unaligned position is the position of rotor when the rotor pole axis is not same as stator pole axis. Aligned and unaligned positions of rotor are shown in Figure 2 and Figure 3 respectively. 3. SRM CONVERTER To drive SRM, a converter is needed and in this paper a simple asymmetrical converter shown in Figure 4 is employed. This asymmetrical converter continuously switches the phases of stator and thus the rotor continuously rotates. Figure 4 shows the basic circuit of asymmetrical converter to drive SRM. By properly switching the switches in converter, the phase of SRM will be excited and hence rotor rotates. Controlling the switching operation controls the SRM. Switching on switches S1 and S2 energizes phase-A of SRM and similarly by proper switching switches S3, S4 and S5, S6 energizes phases B and C respectively. For current control mode, lower switch in leg will be turned ON continuously switching upper switch through the operation of one phase. Thus a 3-phase 6/4 pole SRM operates.
  • 3. IJPEDS ISSN: 2088-8694  Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma) 627 Phase a Phase b Phase c Vdc S1 S2 D1 D2 S3 S4 D4 D3 S5 S6 D6 D5 Figure 4. Asymmetrical converter of 6/4 pole SRM Drive 4. DIODE BRIDGE RECTIFIER FED SRM DRIVE A simple block diagram of SRM drive is shown in Figure 5. The input AC supply is fed to diode bridge rectifier which converts AC-DC. A capacitor is connected at the output of rectifier to maintain constant DC voltage at the input of asymmetrical converter. The diode bridge rectifier induces harmonics in the system at the source side giving less efficiency, so needs to be controlled. Buck boost converter for power factor correction shown in Figure 6 is used for mitigating power quality. Buck-Boost converter consists of two number of MOSFET switches and with control strategy for PFC gives high efficiency. SRM Converter SRM Motor Diode bridge rectifier L C 6/4 Pole SRM Motor Figure 5. Block diagram of SRM Drive SRM Converter SRM Motor Buck-Boost Converter L C 6/4 Pole SRM Motor Figure 6. Proposed SRM drive 5. DESIGN OF BUCK-BOOST CONVERTER Buck-boost converter LVin S D C R Vo Iin I0 Figure 5(a). Buck-boost converter
  • 4.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637 628 when switch is ON LVin C R Figure 5(b). Buck-boost converter switch is ON ; (1) when S is OFF L C R I Figure 5(c). Buck-boost converter switch is OFF (2) = (3) Capacitor voltage ripple (4) Calculation parameters of Buck-boost converter Here we have considered 400W SRM drive, Vin=320V V0=200V, fs=6kHz Duty cycle : D=61.5% Vin IL I1 t1 Vc t t t t2 IL Vc  Figure 7. Waveforms Showing Voltage Output with Change in Inductor Current Along with Change in Capacitor Voltage
  • 5. IJPEDS ISSN: 2088-8694  Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma) 629 Calculation of Inductance: Assuming ripple current of 5% I0 of SRM drive fixed at 15A when switch is ON, inductor is carrying output current Calculation of capacitance of Assume ripple frequency 2F Since practical capacitor exist only for rating of 2000µF Critical Inductance to operate in DCM mode: ; ( ) Single phase AC supply PI Controller -1 IS I* Triangular waveform Ve Vdc V*dc PFC Control PWM Position sensor PFC Buck-Boost converter Phase A Phase B Phase C SRM Motor SRM Asymmetrical converter VS Vdc SW1 SW2 SW1 SW2 TO TO Ls Cs Figure 8. Control Scheme for PWM rectifier fed SRM Drive with PFC Buck-Boost converter 6. MATEMATICAL MODELLING OF SRM DRIVE SRM drive with diode bridge rectifier at the input side and asymmetrical converter driving SRM is shown in Figure 8. Figure 9 represents the equivalent circuit of SRM of a phase. Flux linkage to the phase controls the induced EMF in that particular phase and the flux linkage depends on current in the windings and rotor position. dt id e ),(  R V Figure 9. Equivalent circuit of switched reluctance motor
  • 6.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637 630 (9) where V is the applied phase voltage to phase, R is the phase resistance, and e is back EMF. Ordinarily, e is the function of phase current and rotor position, and flux λ can be expressed as the product of inductance and winding current: (10) and from (8) the function can be rewritten as: (11) The general torque expression is: ∫ (12) In general, the dynamical model of a SRM is characterized by the rotor angular speed and angular position relationship: (13) T- (14) + (15) The average torque can be written depending on the number of phases of the SRM as: T=∑ (16) 7. SIMULATION ANALYSIS Table 1. System Parameters Parameter Value Power 4KW Input Voltage 320V Output Voltage 200V Inductance 27.3mH Capacitance 1537 µF Switching Frequency 6 KHz Duty Cycle 61.5% Critical Inductance 427µH Critical Capacitance 6.25 µF Table 2. Drive Parameters Parameter Value Stator Resistance 0.5Ω Aligned Inductance 20mH Unaligned Inductance 330 µH Maximum Current 20A Table 1 gives us the data used in the simulation process and Table 2 is the data used in drive system. By using the above data simulation results were obtained. Different cases were obtained with different speeds.
  • 7. IJPEDS ISSN: 2088-8694  Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma) 631 7.1. Case 1: When rotor is rotating at 500 RPM Figure 10. Simulation results of source voltage, source current, torque and armature currents Figure 11. Simulation results of DC link voltage when speed is 500 rpm Figure 12. Simulation results of speed As case 1 we have considered the discussed Buck-Boost converter fed SRM drive running at 500 rpm. Figure 10 shows the simulation result of source voltage, source current, torque in Nm and also armature currents feeding the phases of SRM. Figure 11 shows the DC link voltage which is output of Buck-Boost converter. Even the speed of SRM drive system shown in Figure 12 is 500 rpm, the DC link voltage imaintained constant at 200 V. Figure 13 shows the power factor with voltage and current being in phase maintaining unity. We can observe there are no disturbances in source voltage and source current which are in-phase thus maintaining the power factor nearer to unity. THD in Figure 14 is observed to be 0.20% which is very less. Buck-Boost converter acting as PFC with control strategy regulates the source voltage and current when SRM is running at 500 rpm.
  • 8.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637 632 Figure 13. Simulation results of power factor with voltage and current signal Figure 14. Simulation results THD when the speed is 500 rpm 7.2. Case 2: When rotor is rotating at 1000 RPM Figure 15. Simulation results of source voltage, source current, torque and armature currents Figure 16. Simulation results of DC link voltage when speed is 1000 rpm Figure 17. Simulation results of speed Figure 18. Simulation results THD when the speed is 1000 rpm
  • 9. IJPEDS ISSN: 2088-8694  Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma) 633 As case 2 we have considered the discussed Buck-Boost converter fed SRM drive running at 1000 rpm. Figure 15 shows the simulation result of source voltage, source current, torque in Nm and also armature currents feeding the phases of SRM. Figure 16 shows the DC link voltage which is output of Buck-Boost converter. Even the speed of SRM drive system shown in Figure 17 is 1000 rpm; the DC link voltage is maintained constant at 200 V. We can observe there are no disturbances in source voltage and source current which are in-phase thus maintaining the power factor nearer to unity. THD shown in Figure 18 is observed to be 0.53% which is less and accepTable. Buck-Boost converter acting as PFC with control strategy regulates the source voltage and current when SRM is running at 1000 rpm. 7.3. Case 3: When rotor is rotating at 1500 RPM Figure 19. Simulation results of source voltage, source current, torque and armature currents Figure 20. Simulation results of DC link voltage when speed is 1500 rpm Figure 21. Simulation results of speed Figure 22. Simulation results THD when the speed is 1500 rpm As case 3 we have considered the discussed Buck-Boost converter fed SRM drive running at 1500 rpm. Figure 19 shows the simulation result of source voltage, source current, torque in Nm and also armature
  • 10.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637 634 currents feeding the phases of SRM. Figure 20 shows the DC link voltage which is output of Buck-Boost converter. Even the speed of SRM drive system shown in Figure 21 is 1500 rpm; the DC link voltage is maintained constant at 200 V. We can observe there are no disturbances in source voltage and source current which are in-phase thus maintaining the power factor nearer to unity. THD shown in Figure 22 is observed to be 0.38%. Buck-Boost converter acting as PFC with control strategy regulates the source voltage and current when SRM is running at 1500 rpm. 7.4. Case 4: When rotor is rotating at 2000 RPM Figure 23. Simulation results of source voltage, source current, torque and armature currents Figure 24. Simulation results of DC link voltage and speed Figure 25. Simulation results of current through inductor 1 and inductor 2, voltage across switches and current through switches 1 and 2
  • 11. IJPEDS ISSN: 2088-8694  Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma) 635 Figure 26. Simulation results THD when the speed is 2000 rpm As case 4 we have considered the discussed Buck-Boost converter fed SRM drive running at 2000 rpm. Figure 23 shows the simulation result of source voltage, source current, torque in Nm and also armature currents feeding the phases of SRM. Figure 24 shows the DC link voltage which is output of Buck-Boost converter and the speed at which the motor is rotating. Even the speed of SRM drive system shown in Figure 24 is 2000 rpm; the DC link voltage is maintained constant at 200 V. We can observe there are no disturbances in source voltage and source current which are in-phase thus maintaining the power factor nearer to unity. Buck-Boost converter acting as PFC with control strategy regulates the source voltage and current when SRM is running at 2000 rpm. Figure 25 shows the Simulation results of current through inductor 1 and inductor 2, voltage across switches and current through switches 1 and 2. This switching is same for all the discussed cases. THD shown in Figure 26 is observed to be 0.26%. 7.5. Case 5: With input AC variation Figure 27. Simulation results of source voltage, source current Figure 28. Simulation results of torque and armature currents Figure 29. Simulation results of DC link voltage and speed
  • 12.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 3, September 2016 : 625 – 637 636 As case 5 we have considered the discussed Buck-Boost converter fed SRM drive running at 2000 rpm with variation in input. We can observe the change in input voltage decreases with increase in current. Figure 27 shows the simulation result of source voltage, source current Figure 28 shows torque in Nm and also armature currents feeding the phases of SRM. Figure 29 shows the DC link voltage which is output of Buck-Boost converter and the speed at which the motor is rotating. Even the speed of SRM drive system is 2000 rpm with change in input; the DC link voltage is maintained constant at 200 V. Figure 30. Simulation results of power factor with voltage and current signal Figure 31. Simulation results THD when there is input variation We can observe there are no disturbances in source voltage and source current which are in-phase thus maintaining the power factor in Figure 30 nearer to unity. THD in Figure 31 is found to be 0.78%. Buck- Boost converter acting as PFC with control strategy regulates the source voltage and current when SRM is running at 2000 rpm with change in input. The comparison of THD for different conditions were shown in Table 3. Table 3. Comparison of THD’s for different conditions Condition THD When speed is 500 rpm 0.20% When speed is 1000 rpm 0.53% When speed is 1500 rpm 0.38% When speed is 2000 rpm 0.26% When there is input variation with speed 2000 rpm 0.78% 8. CONCLUSION Maintain power factor is very much important in the present pollutant systems. The pollution is produced in the power system network when non-linear loads are connected. When drive system is connected, this induces harmonics which are not desirable. Here in this paper when SRM drive system is connected the power factor correction is done with the help of converter which is used to drive SRM. The converter switches the phases of SRM and thus SRM produces continuous torque. Here we have employed a Buck-Boost converter to drive SRM and also as power factor correction. By employing a suiTable control strategy for Buck-Boost converter, power factor correction was done. This system is validated with the results considering different cases with different SRM drive speeds and with input variation. THD is found to be very less for different conditions and THD were shown for all cases. Power factor was maintained nearer to unity and shown. Results were obtained using Matlab/Simulink and the results for different cases were validated maintaining constant output of Buck-Boost converter, nothing but DC link voltage when drive system speed was changed. REFERENCES [1] Praveen Vijayraghavan, “Design of Switched Reluctance Motors and Development of a Universal Controller for Switched Reluctance and Permanent Magnet Brushless DC Motor Drives”, Dissertation submitted to Virginia Polytechnic Institute and State University, Blacksburg, Virginia, November 2001. [2] T.J.E. Miller, "Switched Reluctance Motors and their Control”, Magna Physics &Oxford, 1993.
  • 13. IJPEDS ISSN: 2088-8694  Design and Simulation of PFC Converter for Brushless SRM Drive (M. Rama Subbamma) 637 [3] Rik De Doncker, Duco W.J. Pulle and Andre Veltman, “Advanced Electrical Drives: Analysis, Modeling and Control”, Springer, 2011. [4] Michael T. DiRenzo, “Reluctance Motor Control – Basic Operation and Example Using the TMS320F240”, Application Report SPRA420A, Digital Signal Processing Solutions, February 2000. [5] R. Krishnan, Switched Reluctance Motor Drives, Boca Raton, FL: CRC Press, 2001. [6] M. Cacciato, A. Consoli, G. Scarcella and G. Scelba, “A switched reluctance motor drive for home appliances with high power factor capability”, in Power Electronics Specialists Conference - PESC 2008, Jun 15-19, 2008, pp. 1235 – 1241. [7] W.K. Thong and C. Pollock, “Low-Cost Battery-Powered Switched Reluctance Drives with Integral Battery- Charging Capability”, IEEE Trans. Industry Applications, Vol. 36, No. 6, pp 1676-1681,Nov./Dec.2000. [8] R. Krisinan, G.H. Rim, Modeling, “Simulation an Analysis of Variable Speed Constant Frequency Power Conversion Scheme with A Permanent Magnet Brushless DC Generator”, in Proc. 1988 IEEE Industrial Electronics Society Conf, IECON, pp. 332 – 337. [9] A. Rashidi, M. M. Namazi, A. Bayat and S.M. Saghaiannejad, “Power Factor Improvement Using Current Source Rectifier with Battery Charging Capability in Regenerative Mode of Switched Reluctance Motor Drives”, in proc. 2013 IEEE conference. [10] Robin Vujanic, Design and Control of a Buck-Boost DC-DC Power Converter, Semester Thesis July 2008. [11] Everett Rogers, Understanding Buck-Boost Power Stages in Switch Mode Power Supplies, Application Report SLVA059A - March 1999 − Revised November 2002. [12] Jackson, T.W., “Analysis and Design of a Novel Controller Architecture and Design Methodology for Speed Control of Switched Reluctance Motors”, MS thesis, Virginia Tech, 1996. [13] An AdjusTable-Speed PFC Bridgeless Buck–Boost Converter-Fed BLDC Motor Drive, IEEE transactions on industrial electronics, vol. 61, no. 6, June 2014. [14] Kiran Kumar, G.R.K Murthy, S S Srinivas Addala, “Analysis and Design of a Novel Controller Architecture and Design Methodology for Speed Control of Switched Reluctance Motors”, International Journal of Power Electronics and Drive System (IJPEDS) Vol. 5, No. 1, July 2014, pp. 83~92. [15] N.V. Grebennikov, A.V. Kireev, N.M. Kozhemyaka , “Mathematical Model of Linear Switched Reluctance Motor with Mutual Inductance Consideration”, International Journal of Power Electronics and Drive System (IJPEDS) Vol. 6, No. 2, June 2015, pp. 225~232. [16] N.C. Lenin, R. Arumugam, “Design and Experimental Verification of Linear Switched Reluctance Motor with Skewed Poles”, International Journal of Power Electronics and Drive System (IJPEDS) Vol. 6, No. 1, March 2015, pp. 18~25.