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International Journal of Research in Engineering and Science (IJRES)
ISSN (Online): 2320-9364, ISSN (Print): 2320-9356
www.ijres.org Volume 2 Issue 11 ǁ November. 2014 ǁ PP.51-57
www.ijres.org 51 | Page
Improvement In Pre-Regulation For Power Factor Using CUK
Converter
1,Satyendra Kumar Gupta 2, Anurag Agrawal 3,Sarfaraz alam
1,
Asst. Professor Electrical Engg Deptt Shri Ram Swaroop Memorial College of Engineering & Management
Lucknow, India
2,
Head of Department Electrical Engg Deptt Shri Ram Swaroop Memorial College of Engineering &
Management Lucknow, India
3,
Asst. Professor Electrical Engg Deptt Shri Ram Swaroop Memorial College of Engineering & Management
Lucknow, India
ABSTRACT-: Cuk converters, operating in Discontinuous Capacitor Voltage Mode can achieve unity power
factor when used as rectifiers with no need of duty-cycle modulation. This operating mode causes high voltage
stresses across the semiconductors, calling for high-voltage switches like IGBT's. However, zero-voltage turn-
off is achieved, resulting in limited power loss even at high frequency. Both current- and voltage-fed approaches
as well as constant- and variable-frequency control are analyzed in the paper. Simulation and experimental
results are Explained, which demonstrate actual converter performance. Most of the power factor regulator
topologies in continuous conduction mode result in bulky magnetic, and in discontinuous conduction
mode result in high harmonic content. To solve these problems a Cuk topology is presented in
discontinuous conduction mode with coupled inductors for power factor regulation, the unique feature
exhibited by the converter that makes the converter better than the other converter in operation for
power factor regulation. Inductive coupling is used to transfer the ripple from the input to the output
side thereby reducing the switching harmonics in the line current. Experimental results obtained on a some
Watt prototype are also presented.
Keywords-: CUK, Semiconductors, Ripple, Power- Factor
I. INTRODUCTION
Switch Mode Power Supply topologies follow a set of rules. A very large number of converters have been
proposed, which however can be seen to be minor variations of a group of basic DC-DC converters – built on a
set of rules. Many consider the basic group to consist of the three: BUCK, BOOST and BUCK-BOOST
converters[1]. The CUK, essentially a BOOST-BUCK converter, may not be considered as basic converter
along with its variations. In DC-DC voltage regulators, it is important to supply a constant output voltage,
regardless of disturbances on the input voltage. The goal of this paper is to describe a feedback compensation
technique for the Cuk converter (Fig 1) to limit the voltage deviation in response to a voltage step on the input.
Fig 1. : Cuk converter
In the following sections, the design requirements for this converter will be defined, followed by a
derivation of a feedback model for the converter. The final section will describe two different modeling designs
for the closed-loop Cuk converter, with the advantages and disadvantages discussed for each. The Canonical
Cell forms the basis of analyzing switching circuits, but the energy transport mechanism forms the foundation of
the building blocks of such converters. The Buck converter may consequently be seen as a Voltage to Current
converter, the Boost as a Current to Voltage converter, the Buck-Boost as a Voltage-Current-Voltage and the
CUK as a Current-Voltage-Current converter. All other switching converter MUST fall into one of these
configurations if it does not increase the switching stages further for example into a V-I-V-I converter which is
Improvement In Pre-Regulation For Power Factor Using CUK Converter
www.ijres.org 52 | Page
difficult to realize through a single controlled switch[2]. It does not require an explanation that a current source
must be made to deliver its energy into a voltage sink and vice-versa. A voltage source cannot discharge into a
voltage sink and neither can a current source discharge into a current sink. The first would cause current stresses
while the latter results in voltage surges. This rule is analogous to the energy exchange between a source of
Potential Energy (Voltage of a Capacitor) and a sink of Kinetic Energy (Current in an Inductor) and vice-versa.
Both can however discharge into a dissipative load, without causing any voltage or current amplification. The
resonant converters also have to agree to some of these basic rules.
II. ANALYSIS OF CUK CONVERTER
The advantages and disadvantages of three basic non-isolated converters can be summarized as given below.
(i) Buck converter-: Features of a buck converter are
 Pulsed input current, requires input filter.
 Continuous output current results in lower output voltage ripple.
 Output voltage is always less than input voltage.
Fig.2: Circuit schematic of a buck converter
(ii) Boost converter -: Features of a boost converter are
 Continuous input current, eliminates input filter.
 Pulsed output current increases output voltage ripple.
 Output voltage is always greater than input voltage.
Fig.3: Circuit schematic of a boost converter
(iii) Buck - Boost converter -: Features of a buck - boost converter are
 Pulsed input current, requires input filter.
 Pulsed output current increases output voltage[5] ripple
 Output voltage can be either greater or smaller than input voltage.
Fig.4: Circuit schematic of a buck boost converter
It will be desirable to combine the advantages of these basic converters into one converter. CuK converter
is one such converter. It has the following advantages.
 Continuous input current.
 Continuous output current.
 Output voltage can be either greater or less than input voltage. CuK converter is actually the cascade
combination of a boost and a buck converter.
Improvement In Pre-Regulation For Power Factor Using CUK Converter
www.ijres.org 53 | Page
III. EXPRESSION FOR AVERAGE OUTPUT VOLTAGE AND INDUCTOR CURRENT
The expression for average output voltage and inductor current are :
Applying volt-sec balance across L1
VinDT+ (Vin – Vcl) (1-D)T=0 ----------(1)
Vin(1-D) Vcl =0---------------------------(2)
Applying Volt-sec balance across L2
(Vo + Vcl) DT + Vo(1-D)T=0-------------(3)
Vo + DVcl = 0------------------------------(4)
Vo= -DVcl = - VinD/(1-D)----------------(5)
Expression for average inductor current can be obtained from charge balance of C2
IL2 + I0 = 0----------------------------------(6)
IL2 = I0= -Vo/R------------------------------(7)
From power balance
VinILI=V0I0= V0
2
/R------------------------(8)
ILI =
𝑫 𝟐
(𝟏−𝑫) 𝟐
Vin
𝑹
-----------------------(9)
The Equivalent Circuit of a CUK converter during different conduction modes i.e 0 < t ≤ DT and DT < t ≤ T
that are explained by following circuit
Fig.5: Equivalent Circuit of a CUK converter during different conduction modes. (a) 0 < t ≤DT (b) DT < t ≤T
IV. HARDWARE IMPLEMENTATION
A. Circuit specifications
This section covers a simple closed loop controlled Buck/Boost converter with the following specifications
 Input: 5V
 Output: INVERTED DC VOLTAGE
 Topology:/CUK Converter using LM2611 IC
 Controller: LM2611
 Switching Frequency:50kHz
 Protection: None
B. Starting power supply
 The starting power supply is obtained from a 18V transformer connected to a rectifier circuit.
 The rectifier circuit consists of 1000microfarad capacitors, 7805 voltage regulators for obtaining
positive voltage. Consists of 10nf capacitors and also jumpers to connect to the circuit.
Improvement In Pre-Regulation For Power Factor Using CUK Converter
www.ijres.org 54 | Page
Fig 6. Starting power supply
C. Hardware circuit
It is an electronic circuit which converts a source of direct current (DC) from one voltage level to another.
Fig 7: Hardware circuit
V. SIMULATION RESULTS
The simulation example consists of a simple Cuk PWM dc-dc converter as shown in Figure. The input
voltage is kept at 25V. The Load resistance is kept at 50. The output filter capacitor is chosen as 100mF. The
capacitor C1 is chosen as 100mF. The switch is controlled by a signal “gce clock", kept at 25kHz frequency and
with duty cycle 80%. The output can be controlled by changing the duty cycle parameter for the clock. The
switch and diode are ideal switch and diode, respectively.
Fig 8. The Schematic circuit for the cuk converter
A. Sample Plots
The sample simulation plots are shown in Fig. Here, the rest upper plot shows the gate driver pulse. The second
plot shows the input and output voltages. The third plot shows the switch current, diode current and the source
current. All the plots are steady and plotted for one cycle with reference to the time scale.
Improvement In Pre-Regulation For Power Factor Using CUK Converter
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Fig 9: Simulation Plots for Cuk Converter
B. Operation of CUK converter
The operation of CUK converter can be defined by switch on equivalent and switch off equivalent circuit with is
explain by the following diagram which is given below-
Improvement In Pre-Regulation For Power Factor Using CUK Converter
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Fig 10. Modes of operation in CUK converter
C. Simulation of practical circuit
PSIM is the leading simulation and design software for power electronics, motor drives, and dynamic system
simulation. With fast simulation and easy to use interface, PSIM provides a powerful and efficient environment
to meet your simulation needs:
Fig 11. PSIM
Improvement In Pre-Regulation For Power Factor Using CUK Converter
www.ijres.org 57 | Page
VI. CONCLUSION
The CUK converter behaves as an automatic current wave shaper with no current control.
Switching frequency harmonics can be reduced by coupling the two inductors as explained. Non
idealities inherent to PFR We obtained an inverted voltage /1.64V with an input supply of 5V thus working as
a CUK converter. topologies are the lag effect in the input current at zero crossing and the switching
harmonics. The switching harmonics are reduced by coupling the inductors. Another Cuk converter
following this PFR stage can be designed for zero output ripple thus eliminating ripple from the input as
well as the output. Further isolation can be given by introducing high-frequency transformer isolation.
The transformer and the two inductors can be integrated into one magnetic structure and both the output
and the input ripple can be transferred to the transformer where the AC ripple inherently exists as the
magnetizing current of the transformer
VII. SCOPE FOR FUTURE WORK
Development of multi/stage cuk converter for photo voltaic regulation, Analysis and design of multi/stage,
multi/leave, DC/DC converter with input/output bypass capacitor and Simulation and Hardware implementation
of Incremental Conductance. MPPT (Maximum Power Point Tracking) with Direct Control method using CUK
converter. Power Factor Improvement Using DCM (Discontinuous Conduction mode) CUK converter with
Coupled Inductor. Photovoltaic Power converter for military and space applications. Dynamic Maximum power
point tracking of Photo voltaic arrays using ripple correlation control
REFERENCES
[1] Aeronautics and Space Administration, (NASA-CR-149364) National Solar Cell Array Design Handbook, Vol.1, Jet Propulsion
Lab, 1976.
[2] K. Nishioka, N. Sakitani, Y. Uraoka, and T. Fuyuki, “Analysis of multi-crystalline silicon solar cells by modified 3-diode
equivalent circuit model taking leakage current through periphery into consideration,” Solar Energy Materials and Solar Cells,
Vol. 91, No. 13, 2007, pp. 1222–1227.
[3] M. R. Islam, R. Saidur, N. A. Rahim, and K. H. Solangi, “Usage of solar energy and its status in Malaysia,” Engineering e-
Transaction, Vol. 5, No. 1, 2010, pp. 6-10.
[4] T. Esram and P. L. Chapman, “Comparison of photovoltaic array maximum power point tracking techniques,” IEEE
Transactions on Energy Conversion, Vol. 22, No. 2, June 2007, pp. 439–449.
[5] K. H. Hussein, I. Muta, T. Hoshino, and M. Osakada, “Maximum photovoltaic power tracking: An algorithm for rapidly
changing atmospheric conditions,” Proc. Inst. Elect. Eng., Generation, Transmission and Distribution, Vol. 142, No. 1, January
1995, pp. 59–64.
[6] N. Mohan, T. M. Undeland, and W. P. Robbins, Power Electronics: Converters, Applications and Design, Third Edition, John
Wiley, New York, 2003.
[7] M. H. Rashid, Power Electronics, Circuits, Devices and Applications, Third Edition, Prentice Hall, Upper Saddle River, NJ,
2004.
[8] F. Caricchi, F. Crescimbini, and A. Di Napoli, “20kW water-cooled prototype of a buck-boost bidirectional DC-DC converter
topology for electrical vehicle motor drives,” IEEE APEC Rec., pp. 887-892, 1995.
[9] J. Majo, L. Martinez, A. Poveda, L. Vicuna, F. Guinjoan, A. Sanchez, M. Valentin, and J. Marpinard, “Large-signal feedback
control of a bidirectional coupled-inductor cuk converter,” IEEE Trans. Industrial Electronics, Vol. 39, No. 5, pp. 429-436, Oct.
1992.
[10] G. Spiazzi and L. Rossetto, “High-quality rectifier based on coupled- inductor sepic topology,” IEEE PESC Rec., pp. 336-341,
1998.
[11] J. J. Jozwick and M. K. Kazimierczuk, “Dual sepic PWM switching- mode DC/DC power converter,” IEEE Trans. on Industrial
Electronics, Vol. 36, No. 1, pp.64-70, Feb. 1989.
[12] D. S. L. Simonetti, J. Sebastian, and J. Uceda, “The discontinuous conduction mode sepic and cuk power factor preregulators:
Analysis and design,” IEEE Trans. Industrial Electronics, Vol. 44, No. 5, pp. 630-637, Oct. 1997.
[13] H. S. Chung, K. K. Tse, S. Y. Hui, C.M. Mok, and M. T. Ho, “A novel maximum power point tracking technique for solar panels
using a SEPIC or cuk converter,” IEEE Trans. Power Electronics, Vol. 18, No. 3, pp. 717-724, May 2003.
[14] Maged N. F. Nashed, “Design of a digital PWM controller for a soft switching sepic converter,” Journal of Power Electronics,
Vol. 4, No. 3, pp. 152-160, Jul. 2004.

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Improvement In Pre-Regulation For Power Factor Using CUK Converter

  • 1. International Journal of Research in Engineering and Science (IJRES) ISSN (Online): 2320-9364, ISSN (Print): 2320-9356 www.ijres.org Volume 2 Issue 11 ǁ November. 2014 ǁ PP.51-57 www.ijres.org 51 | Page Improvement In Pre-Regulation For Power Factor Using CUK Converter 1,Satyendra Kumar Gupta 2, Anurag Agrawal 3,Sarfaraz alam 1, Asst. Professor Electrical Engg Deptt Shri Ram Swaroop Memorial College of Engineering & Management Lucknow, India 2, Head of Department Electrical Engg Deptt Shri Ram Swaroop Memorial College of Engineering & Management Lucknow, India 3, Asst. Professor Electrical Engg Deptt Shri Ram Swaroop Memorial College of Engineering & Management Lucknow, India ABSTRACT-: Cuk converters, operating in Discontinuous Capacitor Voltage Mode can achieve unity power factor when used as rectifiers with no need of duty-cycle modulation. This operating mode causes high voltage stresses across the semiconductors, calling for high-voltage switches like IGBT's. However, zero-voltage turn- off is achieved, resulting in limited power loss even at high frequency. Both current- and voltage-fed approaches as well as constant- and variable-frequency control are analyzed in the paper. Simulation and experimental results are Explained, which demonstrate actual converter performance. Most of the power factor regulator topologies in continuous conduction mode result in bulky magnetic, and in discontinuous conduction mode result in high harmonic content. To solve these problems a Cuk topology is presented in discontinuous conduction mode with coupled inductors for power factor regulation, the unique feature exhibited by the converter that makes the converter better than the other converter in operation for power factor regulation. Inductive coupling is used to transfer the ripple from the input to the output side thereby reducing the switching harmonics in the line current. Experimental results obtained on a some Watt prototype are also presented. Keywords-: CUK, Semiconductors, Ripple, Power- Factor I. INTRODUCTION Switch Mode Power Supply topologies follow a set of rules. A very large number of converters have been proposed, which however can be seen to be minor variations of a group of basic DC-DC converters – built on a set of rules. Many consider the basic group to consist of the three: BUCK, BOOST and BUCK-BOOST converters[1]. The CUK, essentially a BOOST-BUCK converter, may not be considered as basic converter along with its variations. In DC-DC voltage regulators, it is important to supply a constant output voltage, regardless of disturbances on the input voltage. The goal of this paper is to describe a feedback compensation technique for the Cuk converter (Fig 1) to limit the voltage deviation in response to a voltage step on the input. Fig 1. : Cuk converter In the following sections, the design requirements for this converter will be defined, followed by a derivation of a feedback model for the converter. The final section will describe two different modeling designs for the closed-loop Cuk converter, with the advantages and disadvantages discussed for each. The Canonical Cell forms the basis of analyzing switching circuits, but the energy transport mechanism forms the foundation of the building blocks of such converters. The Buck converter may consequently be seen as a Voltage to Current converter, the Boost as a Current to Voltage converter, the Buck-Boost as a Voltage-Current-Voltage and the CUK as a Current-Voltage-Current converter. All other switching converter MUST fall into one of these configurations if it does not increase the switching stages further for example into a V-I-V-I converter which is
  • 2. Improvement In Pre-Regulation For Power Factor Using CUK Converter www.ijres.org 52 | Page difficult to realize through a single controlled switch[2]. It does not require an explanation that a current source must be made to deliver its energy into a voltage sink and vice-versa. A voltage source cannot discharge into a voltage sink and neither can a current source discharge into a current sink. The first would cause current stresses while the latter results in voltage surges. This rule is analogous to the energy exchange between a source of Potential Energy (Voltage of a Capacitor) and a sink of Kinetic Energy (Current in an Inductor) and vice-versa. Both can however discharge into a dissipative load, without causing any voltage or current amplification. The resonant converters also have to agree to some of these basic rules. II. ANALYSIS OF CUK CONVERTER The advantages and disadvantages of three basic non-isolated converters can be summarized as given below. (i) Buck converter-: Features of a buck converter are  Pulsed input current, requires input filter.  Continuous output current results in lower output voltage ripple.  Output voltage is always less than input voltage. Fig.2: Circuit schematic of a buck converter (ii) Boost converter -: Features of a boost converter are  Continuous input current, eliminates input filter.  Pulsed output current increases output voltage ripple.  Output voltage is always greater than input voltage. Fig.3: Circuit schematic of a boost converter (iii) Buck - Boost converter -: Features of a buck - boost converter are  Pulsed input current, requires input filter.  Pulsed output current increases output voltage[5] ripple  Output voltage can be either greater or smaller than input voltage. Fig.4: Circuit schematic of a buck boost converter It will be desirable to combine the advantages of these basic converters into one converter. CuK converter is one such converter. It has the following advantages.  Continuous input current.  Continuous output current.  Output voltage can be either greater or less than input voltage. CuK converter is actually the cascade combination of a boost and a buck converter.
  • 3. Improvement In Pre-Regulation For Power Factor Using CUK Converter www.ijres.org 53 | Page III. EXPRESSION FOR AVERAGE OUTPUT VOLTAGE AND INDUCTOR CURRENT The expression for average output voltage and inductor current are : Applying volt-sec balance across L1 VinDT+ (Vin – Vcl) (1-D)T=0 ----------(1) Vin(1-D) Vcl =0---------------------------(2) Applying Volt-sec balance across L2 (Vo + Vcl) DT + Vo(1-D)T=0-------------(3) Vo + DVcl = 0------------------------------(4) Vo= -DVcl = - VinD/(1-D)----------------(5) Expression for average inductor current can be obtained from charge balance of C2 IL2 + I0 = 0----------------------------------(6) IL2 = I0= -Vo/R------------------------------(7) From power balance VinILI=V0I0= V0 2 /R------------------------(8) ILI = 𝑫 𝟐 (𝟏−𝑫) 𝟐 Vin 𝑹 -----------------------(9) The Equivalent Circuit of a CUK converter during different conduction modes i.e 0 < t ≤ DT and DT < t ≤ T that are explained by following circuit Fig.5: Equivalent Circuit of a CUK converter during different conduction modes. (a) 0 < t ≤DT (b) DT < t ≤T IV. HARDWARE IMPLEMENTATION A. Circuit specifications This section covers a simple closed loop controlled Buck/Boost converter with the following specifications  Input: 5V  Output: INVERTED DC VOLTAGE  Topology:/CUK Converter using LM2611 IC  Controller: LM2611  Switching Frequency:50kHz  Protection: None B. Starting power supply  The starting power supply is obtained from a 18V transformer connected to a rectifier circuit.  The rectifier circuit consists of 1000microfarad capacitors, 7805 voltage regulators for obtaining positive voltage. Consists of 10nf capacitors and also jumpers to connect to the circuit.
  • 4. Improvement In Pre-Regulation For Power Factor Using CUK Converter www.ijres.org 54 | Page Fig 6. Starting power supply C. Hardware circuit It is an electronic circuit which converts a source of direct current (DC) from one voltage level to another. Fig 7: Hardware circuit V. SIMULATION RESULTS The simulation example consists of a simple Cuk PWM dc-dc converter as shown in Figure. The input voltage is kept at 25V. The Load resistance is kept at 50. The output filter capacitor is chosen as 100mF. The capacitor C1 is chosen as 100mF. The switch is controlled by a signal “gce clock", kept at 25kHz frequency and with duty cycle 80%. The output can be controlled by changing the duty cycle parameter for the clock. The switch and diode are ideal switch and diode, respectively. Fig 8. The Schematic circuit for the cuk converter A. Sample Plots The sample simulation plots are shown in Fig. Here, the rest upper plot shows the gate driver pulse. The second plot shows the input and output voltages. The third plot shows the switch current, diode current and the source current. All the plots are steady and plotted for one cycle with reference to the time scale.
  • 5. Improvement In Pre-Regulation For Power Factor Using CUK Converter www.ijres.org 55 | Page Fig 9: Simulation Plots for Cuk Converter B. Operation of CUK converter The operation of CUK converter can be defined by switch on equivalent and switch off equivalent circuit with is explain by the following diagram which is given below-
  • 6. Improvement In Pre-Regulation For Power Factor Using CUK Converter www.ijres.org 56 | Page Fig 10. Modes of operation in CUK converter C. Simulation of practical circuit PSIM is the leading simulation and design software for power electronics, motor drives, and dynamic system simulation. With fast simulation and easy to use interface, PSIM provides a powerful and efficient environment to meet your simulation needs: Fig 11. PSIM
  • 7. Improvement In Pre-Regulation For Power Factor Using CUK Converter www.ijres.org 57 | Page VI. CONCLUSION The CUK converter behaves as an automatic current wave shaper with no current control. Switching frequency harmonics can be reduced by coupling the two inductors as explained. Non idealities inherent to PFR We obtained an inverted voltage /1.64V with an input supply of 5V thus working as a CUK converter. topologies are the lag effect in the input current at zero crossing and the switching harmonics. The switching harmonics are reduced by coupling the inductors. Another Cuk converter following this PFR stage can be designed for zero output ripple thus eliminating ripple from the input as well as the output. Further isolation can be given by introducing high-frequency transformer isolation. The transformer and the two inductors can be integrated into one magnetic structure and both the output and the input ripple can be transferred to the transformer where the AC ripple inherently exists as the magnetizing current of the transformer VII. SCOPE FOR FUTURE WORK Development of multi/stage cuk converter for photo voltaic regulation, Analysis and design of multi/stage, multi/leave, DC/DC converter with input/output bypass capacitor and Simulation and Hardware implementation of Incremental Conductance. MPPT (Maximum Power Point Tracking) with Direct Control method using CUK converter. Power Factor Improvement Using DCM (Discontinuous Conduction mode) CUK converter with Coupled Inductor. Photovoltaic Power converter for military and space applications. Dynamic Maximum power point tracking of Photo voltaic arrays using ripple correlation control REFERENCES [1] Aeronautics and Space Administration, (NASA-CR-149364) National Solar Cell Array Design Handbook, Vol.1, Jet Propulsion Lab, 1976. [2] K. Nishioka, N. Sakitani, Y. Uraoka, and T. Fuyuki, “Analysis of multi-crystalline silicon solar cells by modified 3-diode equivalent circuit model taking leakage current through periphery into consideration,” Solar Energy Materials and Solar Cells, Vol. 91, No. 13, 2007, pp. 1222–1227. [3] M. R. Islam, R. Saidur, N. A. Rahim, and K. H. Solangi, “Usage of solar energy and its status in Malaysia,” Engineering e- Transaction, Vol. 5, No. 1, 2010, pp. 6-10. [4] T. Esram and P. L. Chapman, “Comparison of photovoltaic array maximum power point tracking techniques,” IEEE Transactions on Energy Conversion, Vol. 22, No. 2, June 2007, pp. 439–449. [5] K. H. Hussein, I. Muta, T. Hoshino, and M. Osakada, “Maximum photovoltaic power tracking: An algorithm for rapidly changing atmospheric conditions,” Proc. Inst. Elect. Eng., Generation, Transmission and Distribution, Vol. 142, No. 1, January 1995, pp. 59–64. [6] N. Mohan, T. M. Undeland, and W. P. Robbins, Power Electronics: Converters, Applications and Design, Third Edition, John Wiley, New York, 2003. [7] M. H. Rashid, Power Electronics, Circuits, Devices and Applications, Third Edition, Prentice Hall, Upper Saddle River, NJ, 2004. [8] F. Caricchi, F. Crescimbini, and A. Di Napoli, “20kW water-cooled prototype of a buck-boost bidirectional DC-DC converter topology for electrical vehicle motor drives,” IEEE APEC Rec., pp. 887-892, 1995. [9] J. Majo, L. Martinez, A. Poveda, L. Vicuna, F. Guinjoan, A. Sanchez, M. Valentin, and J. Marpinard, “Large-signal feedback control of a bidirectional coupled-inductor cuk converter,” IEEE Trans. Industrial Electronics, Vol. 39, No. 5, pp. 429-436, Oct. 1992. [10] G. Spiazzi and L. Rossetto, “High-quality rectifier based on coupled- inductor sepic topology,” IEEE PESC Rec., pp. 336-341, 1998. [11] J. J. Jozwick and M. K. Kazimierczuk, “Dual sepic PWM switching- mode DC/DC power converter,” IEEE Trans. on Industrial Electronics, Vol. 36, No. 1, pp.64-70, Feb. 1989. [12] D. S. L. Simonetti, J. Sebastian, and J. Uceda, “The discontinuous conduction mode sepic and cuk power factor preregulators: Analysis and design,” IEEE Trans. Industrial Electronics, Vol. 44, No. 5, pp. 630-637, Oct. 1997. [13] H. S. Chung, K. K. Tse, S. Y. Hui, C.M. Mok, and M. T. Ho, “A novel maximum power point tracking technique for solar panels using a SEPIC or cuk converter,” IEEE Trans. Power Electronics, Vol. 18, No. 3, pp. 717-724, May 2003. [14] Maged N. F. Nashed, “Design of a digital PWM controller for a soft switching sepic converter,” Journal of Power Electronics, Vol. 4, No. 3, pp. 152-160, Jul. 2004.