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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1543
IMPROVED POWER QUALITY SWITCHED INDUCTOR CUK CONVERTER
FOR BATTERY CHARGING APPLICATION
M. ARAVINDAN1, R. ELANCHEZHIAN2, B. SABARI3, G. VIGNESH4, R. ELAVARASI5
1,2,3,4Student, Department of Electrical and Electronics Engineering, Valliammai Engineering College,
Kattankulathur, Tamil Nadu, India.
5Assistant Professor, Department of Electrical and Electronics Engineering, Valliammai Engineering College,
Kattankulathur, Tamil Nadu, India
----------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - In this project, a single- stage switched inductor
CUK converter based power factor correction converter is
proposed which offers high step-down gain, low currentstress
and high efficiency and reduced component counts. The
operational analysis and design equations for various
components of proposed converter are carried out in
continuous current mode (CCM). The performance
investigation of proposed converter with respect to power
quality indices like voltage THD, current THD and total power
factor are carried out with various types of load such as
resistive load and battery load in both constant voltage (CV)
and constant current (CC).
Key Words: Diode Bridge Rectifier; Cuk Converter; Power
Factor Correction; Harmonics
1. INTRODUCTION
In the present scenario, emissions of greenhouse gases
and other toxic elements are due to overuse of petroleum
fuels fed automobiles which have caused significant amount
of environmental hazards, health issues and degradation of
non-renewable resources. In last decades, electric
vehicles/electric hybrid vehicles are the alternate choicefor
inter-city transport which have several advantages like low
maintenance, high efficiency, no greenhouse gas emission
and cost effectiveness. However, due to rapid increaseinthe
growth of electric vehicles in future, there will be a
probability of power quality problems in the charging
stations. The power quality problems causes increased risk
in harmonic level in power distribution systems which
reduces the life of distribution transformers in battery
charging stations. Conventionally, existing system consist of
diode bridge rectifier followed by bulky filter capacitor
draws a highly distorted non-sinusoidal and peaky supply
current with high harmonic current THD of 70-80%, from
single phase ac mains with low power factor of order 0.75-
0.8 lagging and high crest factor.
As per international standards for power quality, it is
essential for any product to satisfy load demand for power
factor above 0.9 and current THD should be below 5%. To
meet the guidelines recommended international standards
for power quality usage of two stage PFC converters are
widely practiced in which the power factor correction is
carried output in first stage and voltage/current regulation
is done in the second stage. However these two stage
conversion suffer from poor efficiency and high component
count. In order to overcome the problem, a switched
capacitor converter is proposes as an off-line power factor
corrector, utilizing the inherent advantages of low line
efficiency improvement with reduced voltage stress across
switches.
A switched inductor CUK converter based improved
power quality converter for universal input voltage (85V-
265V) is proposed for the application of electric bikebattery
charging whose battery pack nominal voltage is around 48V
dc. This converter facilitates thereductioninconductionand
switching losses due to low switch current stress. The
inductor at input side, the peaky current problem is absent.
As the duty cycle is more compared to conventional buck
boost based topologies, the associated problems are narrow
input voltage range is absent in the proposed topology. This
paper consistproposedsystemsblock diagram,methodology
and conclusion.
2. BLOCK DIAGRAM OF PROPOSED SYSTEM
2.1 POWER SUPPLY UNIT
All invention of latest technology requires source power.
So, we need proper power source which will besuitablefora
particular requirement. All the electronic components
require DC supply ranging from +5v to +12v. We are using
the same cheapest and commonly available energy source
230V-50Hz.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1544
2.2 RECTIFIER UNIT
In the power supply unit, rectificationisdoneusinga solid
state diode. The property of diode is to let the electron flow
easily in one direction at proper biasing condition. When the
diode is given an AC supply, electrons only flow when the
anode and cathode is negative. Electron will not flow, when
polarity is reversed.
2.3 CUK CONVERTER
The CUK or step down-step up regulator regulates the
average DC output voltage at lower and higher level thenthe
input or source voltage and there isa polarityreversal on the
output this is accomplished through a controlled switching
where the DC input voltage is turned on and off periodically,
resulting in a higher and lower average output voltage.
2.4 PIC CONTROLLER
PIC microcontroller was used in this project to obtain the
gate signal of the inverter switches using SPWM. PIC
16F877A was used to generate the Modified Sine Wave gate
signals and PIC 16F887 was used to generateSine Wavegate
signals. Both have 40 pins with different functions.
2.5 LOAD/BATTERY
An electric battery is a device consisting of one or
more electrochemical with external connectionsprovidedto
power electrical devices such as lights and electric bike
battery has two nodes positive is said to cathode and
negative is said to be anode. The terminal marked negativeis
the source of electrons that will flow through an external
electric circuit to the positive terminal.
3. METHODOLOGY
3.1 OPERATION OF PFC CONVERTER
The operation of converterdependsonswitchingstateof
switch SW1. The connection of intermediate capacitors (C1,
C3) changes from series to parallel connection as switching
state of switch SW1 changes from ON to OFF. The equivalent
circuit during ON and OFF state of the switch SW1 are
depicted in Figure 2a and Figure2 b. The Cuk-derived PFC
converter is designed to operate in continuous conduction
mode i.e. the current through inductor (iLi) is continuous
over one switching period. Figure 2c shows the voltage and
current waveforms over one switching cycle. The detailed
mode-wise analysis is carried out with assumptions that all
the circuit elements are ideal. The outputfiltercapacitor(Co)
is assumed to be large such that the output voltage ripple is
neglected.
MODE I: When the switch SW1 is turned ON, the output
diode Do is forward biased. Power diodes (Do1, Do2) are in
reversed biased by the negative voltage (VC1 + Vdc) that
appears across them. The equivalent circuit during this
mode is shown in Figure 2a. During this mode, the input
inductor current (ILi) increases gradually from its minimum
value (ILmin) and stores energy as shown in Figure 2c. The
intermediate capacitors (C1, C3) start discharging in series
through path indicated in Figure 2a and charges the output
capacitor as shown in Figure 2c. At the end of the mode-I,
inductor current reaches to its maximum value (Ilmax) as
shown in Figure 2c.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1545
Figure 2 Equivalent circuitduringoperatingmodesoverone
switching cycle (a) mode-I (b) mode-II (c) voltage and
current waveforms during switching.
MODE II: This mode start with the turning OFF of the switch
SW1. The equivalent circuit is depicted in Figure 2b. In this
mode of operation both power diodes (Do1, Do2) are in
forward biased at the same time, which gives rise to a path
for inductor current. The output diode Do is reversed biased
by the negative voltage (VC1 – Vo). In this interval, the input
inductor current charges both capacitors C1and C3.
Simultaneously, output capacitor Co discharges energy by
supplying power to load as shown in Figure2b.
3.2 CONTROL ALGORITHM FOR PFC CONVERTER
In order to achieve unity power factor control, the current
multiplier or voltage multiplier based approachforCCMand
DCM are used. In this section a brief description of the
control scheme is presented. The reference voltage Vdc
*(k) is
compared with the sensed dc-link voltage Vdc (k) togenerate
a voltage error Ve(k) , where voltage error Ve(k) at any
instant ‘k’ is given as,
Ve(k)=Vdc
*(k)-Vdc(k)
The voltage error Ve(k) is fed to proportional-integral (PI)
controller for generation of a controlled output Vc (k) as
Vc(K)=Vc(k-1)+kpv{Ve(k)-Ve(K-1)}+kivVe(k)
Where, kpv, kiv are the proportional gain and integral gain of
the voltage PI controller. The reference current iLi
*(k) is
generated by multiplying the controller output Vc (k), with
the unit template of supply voltage us (k) as follows
Where Us (k) is the unit template of supply voltage Vs (k)
represents the amplitude of supply voltage at any instant k.
This reference current iLi
* ( k) is compared with the sensed
input current iLi (k) to generate the PWM signal for PFC
converter switch (SW1). Based on stateof batterycharge,the
selection of constant current (CC) or constant voltage (C V)
mode is carried out. The charging cycleofa Li-ionbattery (or
a similar battery) consists of a constant-current mode and a
constant-voltage mode. To reflect these two modes, the
design of control block contains two feedback paths as
shown in Fi g.1. One feedback path regulates the battery
voltage in the CV mode. The voltage obtained is compared
with the reference to regulate the loop. The secondfeedback
path regulates the battery current in the CC mode. At a time
one method is implemented via mode selector block which
depends on the state of battery charge. Small signal model is
obtained by state space averaging, perturbation and
linearization of converter. Accordingly we get,
where(ao,a1,a2,a3,bo,b1,b2,b3,b4,mo,m1,m2,m3) are the
coefficients. The block diagram describing the closed loop
current mode control is given by Fig.3a.
(a)
(b)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1546
(b) Fig.3 Block Diagram of current mode controlled
converter (a) Control block diagram (b) Bode plot of
compensated and uncompensated system Where, Gpv(s) is
the duty-cycle to output voltage transfer function given by
equation (4), Gpi(s) is the duty-cycle to inductor current
transfer function given by equation (5), G1(s) is called the
current error to duty cycle transfer function given by,
Where, Rs is the sense resistor. The control voltage to duty
cycle transfer function Gd(s) generated by the internal
current loop is given by following equation,
The transfer functions of other blocks in the block diagram
are Gc(s): transfer function of the compensator; Ai(s): input
voltage to inductor current transfer function; Gi(s) output
current to inductor current transfer function; Zo(s) output
impedance. Gv(s) is the audio susceptibility. The change in
input and output voltage is assumed to be negligible over a
switching cycle neglecting the feed-forward gai ns. Thus the
compensator transfer functionGc(s)isdesignedbasedon the
open loop gain given by Gc(s).Gd(s).Gpv(s).Fb(s).Thedesignof
Gc(s), to the meet the transient and steady state response is
carried out by freq uency response method meeting the
sufficient phase margin with gain cross over frequency of
600 radians/second as shown Fig. 3(b) by the bode plot.
4. RESULT AND DISCUSSION
The switched inductor Cuk converter based IPQC, rated for
500 W, 48V/10.4A is developed using Simulink and SIM
power system toolbox of MATLAB and validated through
hardware implementation of the converter of same
specification. Performance of converter is evaluated under
steady state and dynamic conditions for various range of
load. To assess the power quality (PQ) features of the
converter, waveforms of supply voltage (vs) and supply
current (is) and their total harmonic distortions (THDs) are
observed and its other features such as dc output voltage
(Vdc), inductor’s currents ( ili , iLO1 , iLo 2 ) intermediate
capacitor’s voltage (VC 1 ), switch voltage (Vsw1),and switch
current ( iSW1 ) are also examined. PQ indices such as PF,
displacement power factor(DPF),andTHDofsupplycurrent
are analyzed for determining PQ at ac mains.
4.1 SIMULATION STUDY OF THE CONVERTER
Simulink model of switched inductor Cuk based PFC
converter is developed withSimulink andSIMPowerSystem
toolbox of MATLAB software. The circuit parameters
selected for the simulation studies are tabulated in
appendix-A.
4.2 STEADY STATE PERFORMANCEOFCONVERTER
FEEDING THE BATTERY LOAD
Fig. 4 shows the steady state performance of the converter
feeding battery load in CC and CV modes, with 230V input
source. It shows voltage and current waveforms at supply
side and load side along with SOC of battery. It is observed
that a sinusoidal source current in phasewith supplyvoltage
is obtained which demonstrates the unity power factor
operation of converter. A constant currentof10Aissupplied
to battery during charging that increases the state of charge
(SOC) of the battery. The voltage of battery is also observed
to grow during this period.Fig.5 shows the THD of the input
voltage and input current at 500W battery load charging in
CV and CC mode.
Figure 4 Voltage and current waveform during battery
charging (in CC mode).
Appendix –A
Supply voltage: Single phase 230V, 50Hz ; Input inductance
5m H; Intermediate capacitor 4.5µF; Output Inductors 1.8m
H; Output capacitor 8mF; Switching Frequency 5 kHz; Gains
of PI controller kp= 75, ki=1.875 for constant voltage m ode
operation and kp=0.005 and ki =10, for constant current
mode operation.
5. CONCLUSION
Thus by using single stage conversion with the help of cuk
converter the power factorproblem,harmonicswhicharises
during electric vehicle battery charging processarerectified
and improved, the power factor indices like THD and PF at
AC side are evaluated to assess the power quality
performance of the converter.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1547
6. REFERENCES
[1] Sheldon S. Williamson, “Energy Management strategies
for Electric and Plug in Hybrid electric vehicles”, Springer,
New York, USA, 2013
[2] Bruno Scrosati, Jürgen Garche and Werner Tillmetz,
“Advances in Battery Technologies for Electric
Vehicles,”Elsevier, UK, 2015
[3] R. Liu, L.Dow and E. Liu, “A survey of PEV impacts on
electric utilities” in Proc. IEEE PES Innovative Smart Grid
Technologies, pp.1-8, 2011.
[4] G. A. Putrus, P.Suwanapingkarl , D.Johnston, E.C. Bentley
and M.Narayana, “Impact of electric vehicles on power
distribution networks”,in Proc. IEEE Vehicle Power and
Propulsion Conference,, pp. 827-831, 2009.
[5] Suresh Mikkili, Anupkumar panda “PowerQualityissues,
current harmonics”, CRC Press, Boca Raton, USA, 2016.
[6] Angelo Baggini, “Hand book ofPowerquality”,JohnWiley
and SonsInc., USA, 2008.
[7] Limits forHarmonic CurrentEmissions(Equipmentinput
current ≤16 A per phase), International StandardIEC61000-
3-2, 2000.
[8] IEEE Recommended Practices and Requirements for
Harmonics Control in Electric Power System, IEEE Standard
519, 1992
[9] B. Singh, B. N. Singh, A. Chandra, K. Al-Haddad, A. Pandey
and D.P.Kothari, “A review of single-phase improved power
quality AC-DC converters,” IEEE Transactions on Industrial
Electronics, vol. 50, no.5, pp. 962– 981,Oct. 2003
[10] Ramesh oruganti and Ramesh srinivasan, “Single phase
power factor correction- A review”, Recent advances in
Power electronics and drives,vol.22, issue 6, pp.753-780
[11] M. Brkovic and S. Cuk, “Novel single stage ac-to-dc
converters with magnetic amplifiers and highpowerfactor,”
in Proc. IEEE Applied Power Electronics Conference, pp.
447–453, 1995.
[12] M. T. Madigan, R.W. Erickson and E. H. Ismail,
“Integrated high quality rectifier-regulators,” IEEE
Transactions on Industrial Electronics, vol. 46, no. 4, pp.
749– 758, Aug. 1999.
[13] R. Redl, L. Balogh, and N. O. Sokal “A newfamilyofsingle
stage isolated power factor correctors withfastregulationof
the output voltage”, in Proc. IEEE Power Electronics
Specialist Conference, pp.1137–1144,1994.
[14] R. Redl and L. Balogh, “Design consideration for single
stage isolated power factor corrected power supplies with
fast regulation of the output voltage” in Proc. IEEE Applied
Power Electronics Conference, pp.454–458,1995.
[15] R. W. Erickson, M. Madigan, and S. Singer, “Design of a
simple high power factor rectifier based on the flyback
converter”, in Proc. IEEE Applied Power Electronics
Conference, pp. 792–801,1990.

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IRJET- Improved Power Quality Switched Inductor Cuk Converter for Battery Charging Application

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1543 IMPROVED POWER QUALITY SWITCHED INDUCTOR CUK CONVERTER FOR BATTERY CHARGING APPLICATION M. ARAVINDAN1, R. ELANCHEZHIAN2, B. SABARI3, G. VIGNESH4, R. ELAVARASI5 1,2,3,4Student, Department of Electrical and Electronics Engineering, Valliammai Engineering College, Kattankulathur, Tamil Nadu, India. 5Assistant Professor, Department of Electrical and Electronics Engineering, Valliammai Engineering College, Kattankulathur, Tamil Nadu, India ----------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - In this project, a single- stage switched inductor CUK converter based power factor correction converter is proposed which offers high step-down gain, low currentstress and high efficiency and reduced component counts. The operational analysis and design equations for various components of proposed converter are carried out in continuous current mode (CCM). The performance investigation of proposed converter with respect to power quality indices like voltage THD, current THD and total power factor are carried out with various types of load such as resistive load and battery load in both constant voltage (CV) and constant current (CC). Key Words: Diode Bridge Rectifier; Cuk Converter; Power Factor Correction; Harmonics 1. INTRODUCTION In the present scenario, emissions of greenhouse gases and other toxic elements are due to overuse of petroleum fuels fed automobiles which have caused significant amount of environmental hazards, health issues and degradation of non-renewable resources. In last decades, electric vehicles/electric hybrid vehicles are the alternate choicefor inter-city transport which have several advantages like low maintenance, high efficiency, no greenhouse gas emission and cost effectiveness. However, due to rapid increaseinthe growth of electric vehicles in future, there will be a probability of power quality problems in the charging stations. The power quality problems causes increased risk in harmonic level in power distribution systems which reduces the life of distribution transformers in battery charging stations. Conventionally, existing system consist of diode bridge rectifier followed by bulky filter capacitor draws a highly distorted non-sinusoidal and peaky supply current with high harmonic current THD of 70-80%, from single phase ac mains with low power factor of order 0.75- 0.8 lagging and high crest factor. As per international standards for power quality, it is essential for any product to satisfy load demand for power factor above 0.9 and current THD should be below 5%. To meet the guidelines recommended international standards for power quality usage of two stage PFC converters are widely practiced in which the power factor correction is carried output in first stage and voltage/current regulation is done in the second stage. However these two stage conversion suffer from poor efficiency and high component count. In order to overcome the problem, a switched capacitor converter is proposes as an off-line power factor corrector, utilizing the inherent advantages of low line efficiency improvement with reduced voltage stress across switches. A switched inductor CUK converter based improved power quality converter for universal input voltage (85V- 265V) is proposed for the application of electric bikebattery charging whose battery pack nominal voltage is around 48V dc. This converter facilitates thereductioninconductionand switching losses due to low switch current stress. The inductor at input side, the peaky current problem is absent. As the duty cycle is more compared to conventional buck boost based topologies, the associated problems are narrow input voltage range is absent in the proposed topology. This paper consistproposedsystemsblock diagram,methodology and conclusion. 2. BLOCK DIAGRAM OF PROPOSED SYSTEM 2.1 POWER SUPPLY UNIT All invention of latest technology requires source power. So, we need proper power source which will besuitablefora particular requirement. All the electronic components require DC supply ranging from +5v to +12v. We are using the same cheapest and commonly available energy source 230V-50Hz.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1544 2.2 RECTIFIER UNIT In the power supply unit, rectificationisdoneusinga solid state diode. The property of diode is to let the electron flow easily in one direction at proper biasing condition. When the diode is given an AC supply, electrons only flow when the anode and cathode is negative. Electron will not flow, when polarity is reversed. 2.3 CUK CONVERTER The CUK or step down-step up regulator regulates the average DC output voltage at lower and higher level thenthe input or source voltage and there isa polarityreversal on the output this is accomplished through a controlled switching where the DC input voltage is turned on and off periodically, resulting in a higher and lower average output voltage. 2.4 PIC CONTROLLER PIC microcontroller was used in this project to obtain the gate signal of the inverter switches using SPWM. PIC 16F877A was used to generate the Modified Sine Wave gate signals and PIC 16F887 was used to generateSine Wavegate signals. Both have 40 pins with different functions. 2.5 LOAD/BATTERY An electric battery is a device consisting of one or more electrochemical with external connectionsprovidedto power electrical devices such as lights and electric bike battery has two nodes positive is said to cathode and negative is said to be anode. The terminal marked negativeis the source of electrons that will flow through an external electric circuit to the positive terminal. 3. METHODOLOGY 3.1 OPERATION OF PFC CONVERTER The operation of converterdependsonswitchingstateof switch SW1. The connection of intermediate capacitors (C1, C3) changes from series to parallel connection as switching state of switch SW1 changes from ON to OFF. The equivalent circuit during ON and OFF state of the switch SW1 are depicted in Figure 2a and Figure2 b. The Cuk-derived PFC converter is designed to operate in continuous conduction mode i.e. the current through inductor (iLi) is continuous over one switching period. Figure 2c shows the voltage and current waveforms over one switching cycle. The detailed mode-wise analysis is carried out with assumptions that all the circuit elements are ideal. The outputfiltercapacitor(Co) is assumed to be large such that the output voltage ripple is neglected. MODE I: When the switch SW1 is turned ON, the output diode Do is forward biased. Power diodes (Do1, Do2) are in reversed biased by the negative voltage (VC1 + Vdc) that appears across them. The equivalent circuit during this mode is shown in Figure 2a. During this mode, the input inductor current (ILi) increases gradually from its minimum value (ILmin) and stores energy as shown in Figure 2c. The intermediate capacitors (C1, C3) start discharging in series through path indicated in Figure 2a and charges the output capacitor as shown in Figure 2c. At the end of the mode-I, inductor current reaches to its maximum value (Ilmax) as shown in Figure 2c.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1545 Figure 2 Equivalent circuitduringoperatingmodesoverone switching cycle (a) mode-I (b) mode-II (c) voltage and current waveforms during switching. MODE II: This mode start with the turning OFF of the switch SW1. The equivalent circuit is depicted in Figure 2b. In this mode of operation both power diodes (Do1, Do2) are in forward biased at the same time, which gives rise to a path for inductor current. The output diode Do is reversed biased by the negative voltage (VC1 – Vo). In this interval, the input inductor current charges both capacitors C1and C3. Simultaneously, output capacitor Co discharges energy by supplying power to load as shown in Figure2b. 3.2 CONTROL ALGORITHM FOR PFC CONVERTER In order to achieve unity power factor control, the current multiplier or voltage multiplier based approachforCCMand DCM are used. In this section a brief description of the control scheme is presented. The reference voltage Vdc *(k) is compared with the sensed dc-link voltage Vdc (k) togenerate a voltage error Ve(k) , where voltage error Ve(k) at any instant ‘k’ is given as, Ve(k)=Vdc *(k)-Vdc(k) The voltage error Ve(k) is fed to proportional-integral (PI) controller for generation of a controlled output Vc (k) as Vc(K)=Vc(k-1)+kpv{Ve(k)-Ve(K-1)}+kivVe(k) Where, kpv, kiv are the proportional gain and integral gain of the voltage PI controller. The reference current iLi *(k) is generated by multiplying the controller output Vc (k), with the unit template of supply voltage us (k) as follows Where Us (k) is the unit template of supply voltage Vs (k) represents the amplitude of supply voltage at any instant k. This reference current iLi * ( k) is compared with the sensed input current iLi (k) to generate the PWM signal for PFC converter switch (SW1). Based on stateof batterycharge,the selection of constant current (CC) or constant voltage (C V) mode is carried out. The charging cycleofa Li-ionbattery (or a similar battery) consists of a constant-current mode and a constant-voltage mode. To reflect these two modes, the design of control block contains two feedback paths as shown in Fi g.1. One feedback path regulates the battery voltage in the CV mode. The voltage obtained is compared with the reference to regulate the loop. The secondfeedback path regulates the battery current in the CC mode. At a time one method is implemented via mode selector block which depends on the state of battery charge. Small signal model is obtained by state space averaging, perturbation and linearization of converter. Accordingly we get, where(ao,a1,a2,a3,bo,b1,b2,b3,b4,mo,m1,m2,m3) are the coefficients. The block diagram describing the closed loop current mode control is given by Fig.3a. (a) (b)
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1546 (b) Fig.3 Block Diagram of current mode controlled converter (a) Control block diagram (b) Bode plot of compensated and uncompensated system Where, Gpv(s) is the duty-cycle to output voltage transfer function given by equation (4), Gpi(s) is the duty-cycle to inductor current transfer function given by equation (5), G1(s) is called the current error to duty cycle transfer function given by, Where, Rs is the sense resistor. The control voltage to duty cycle transfer function Gd(s) generated by the internal current loop is given by following equation, The transfer functions of other blocks in the block diagram are Gc(s): transfer function of the compensator; Ai(s): input voltage to inductor current transfer function; Gi(s) output current to inductor current transfer function; Zo(s) output impedance. Gv(s) is the audio susceptibility. The change in input and output voltage is assumed to be negligible over a switching cycle neglecting the feed-forward gai ns. Thus the compensator transfer functionGc(s)isdesignedbasedon the open loop gain given by Gc(s).Gd(s).Gpv(s).Fb(s).Thedesignof Gc(s), to the meet the transient and steady state response is carried out by freq uency response method meeting the sufficient phase margin with gain cross over frequency of 600 radians/second as shown Fig. 3(b) by the bode plot. 4. RESULT AND DISCUSSION The switched inductor Cuk converter based IPQC, rated for 500 W, 48V/10.4A is developed using Simulink and SIM power system toolbox of MATLAB and validated through hardware implementation of the converter of same specification. Performance of converter is evaluated under steady state and dynamic conditions for various range of load. To assess the power quality (PQ) features of the converter, waveforms of supply voltage (vs) and supply current (is) and their total harmonic distortions (THDs) are observed and its other features such as dc output voltage (Vdc), inductor’s currents ( ili , iLO1 , iLo 2 ) intermediate capacitor’s voltage (VC 1 ), switch voltage (Vsw1),and switch current ( iSW1 ) are also examined. PQ indices such as PF, displacement power factor(DPF),andTHDofsupplycurrent are analyzed for determining PQ at ac mains. 4.1 SIMULATION STUDY OF THE CONVERTER Simulink model of switched inductor Cuk based PFC converter is developed withSimulink andSIMPowerSystem toolbox of MATLAB software. The circuit parameters selected for the simulation studies are tabulated in appendix-A. 4.2 STEADY STATE PERFORMANCEOFCONVERTER FEEDING THE BATTERY LOAD Fig. 4 shows the steady state performance of the converter feeding battery load in CC and CV modes, with 230V input source. It shows voltage and current waveforms at supply side and load side along with SOC of battery. It is observed that a sinusoidal source current in phasewith supplyvoltage is obtained which demonstrates the unity power factor operation of converter. A constant currentof10Aissupplied to battery during charging that increases the state of charge (SOC) of the battery. The voltage of battery is also observed to grow during this period.Fig.5 shows the THD of the input voltage and input current at 500W battery load charging in CV and CC mode. Figure 4 Voltage and current waveform during battery charging (in CC mode). Appendix –A Supply voltage: Single phase 230V, 50Hz ; Input inductance 5m H; Intermediate capacitor 4.5µF; Output Inductors 1.8m H; Output capacitor 8mF; Switching Frequency 5 kHz; Gains of PI controller kp= 75, ki=1.875 for constant voltage m ode operation and kp=0.005 and ki =10, for constant current mode operation. 5. CONCLUSION Thus by using single stage conversion with the help of cuk converter the power factorproblem,harmonicswhicharises during electric vehicle battery charging processarerectified and improved, the power factor indices like THD and PF at AC side are evaluated to assess the power quality performance of the converter.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1547 6. REFERENCES [1] Sheldon S. Williamson, “Energy Management strategies for Electric and Plug in Hybrid electric vehicles”, Springer, New York, USA, 2013 [2] Bruno Scrosati, Jürgen Garche and Werner Tillmetz, “Advances in Battery Technologies for Electric Vehicles,”Elsevier, UK, 2015 [3] R. Liu, L.Dow and E. Liu, “A survey of PEV impacts on electric utilities” in Proc. IEEE PES Innovative Smart Grid Technologies, pp.1-8, 2011. [4] G. A. Putrus, P.Suwanapingkarl , D.Johnston, E.C. Bentley and M.Narayana, “Impact of electric vehicles on power distribution networks”,in Proc. IEEE Vehicle Power and Propulsion Conference,, pp. 827-831, 2009. [5] Suresh Mikkili, Anupkumar panda “PowerQualityissues, current harmonics”, CRC Press, Boca Raton, USA, 2016. [6] Angelo Baggini, “Hand book ofPowerquality”,JohnWiley and SonsInc., USA, 2008. [7] Limits forHarmonic CurrentEmissions(Equipmentinput current ≤16 A per phase), International StandardIEC61000- 3-2, 2000. [8] IEEE Recommended Practices and Requirements for Harmonics Control in Electric Power System, IEEE Standard 519, 1992 [9] B. Singh, B. N. Singh, A. Chandra, K. Al-Haddad, A. Pandey and D.P.Kothari, “A review of single-phase improved power quality AC-DC converters,” IEEE Transactions on Industrial Electronics, vol. 50, no.5, pp. 962– 981,Oct. 2003 [10] Ramesh oruganti and Ramesh srinivasan, “Single phase power factor correction- A review”, Recent advances in Power electronics and drives,vol.22, issue 6, pp.753-780 [11] M. Brkovic and S. Cuk, “Novel single stage ac-to-dc converters with magnetic amplifiers and highpowerfactor,” in Proc. IEEE Applied Power Electronics Conference, pp. 447–453, 1995. [12] M. T. Madigan, R.W. Erickson and E. H. Ismail, “Integrated high quality rectifier-regulators,” IEEE Transactions on Industrial Electronics, vol. 46, no. 4, pp. 749– 758, Aug. 1999. [13] R. Redl, L. Balogh, and N. O. Sokal “A newfamilyofsingle stage isolated power factor correctors withfastregulationof the output voltage”, in Proc. IEEE Power Electronics Specialist Conference, pp.1137–1144,1994. [14] R. Redl and L. Balogh, “Design consideration for single stage isolated power factor corrected power supplies with fast regulation of the output voltage” in Proc. IEEE Applied Power Electronics Conference, pp.454–458,1995. [15] R. W. Erickson, M. Madigan, and S. Singer, “Design of a simple high power factor rectifier based on the flyback converter”, in Proc. IEEE Applied Power Electronics Conference, pp. 792–801,1990.