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ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 61
Paper Publications
Comparative Study of Interleaved Buck
Converters
Vinny Babu1
, Prof. Ninu Joy2
, Prof. Honey Susan Eldo3
1
PG Scholar, Dept. of EEE, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India
2,3
Assistant Professor, Dept. of EEE, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India
Abstract: An Interleaved Buck Converter (IBC) with continuous input current, extremely low output current
ripple, low switching losses and improved step-down conversion ratio is presented in this work. The new
interleaved buck converter has lower voltage stress in comparison to the conventional IBC and also can provide a
high step-down ratio which makes it a proper choice for high power applications. Also new interleaved buck
converter can provide current-sharing between two interleaved modules without using additional current-sharing
control method. The new interleaved buck converter is simulated by using MATLAB/Simulink and the
experimental results can be obtained.
Keywords: Two Phase Interleaved Buck Converter, Continuous Conduction Mode, low switching voltage stress.
I. INTRODUCTION
Now adays, the tendency to use high performance high step-down DC-DC converters, in applications such as VRMs for
microprocessors and battery chargers, has increased [1]. For non-isolated low output current ripple applications,
interleaved buck converter (IBC) is an excellent choice due to its simple structure and control. Although, the conventional
IBC has some advantages, like current sharing capability between modules, current ripple cancellation and fast transient
response, but it suffers from few disadvantages. First of all, voltage stress of switches and diodes of conventional IBC is
equal to the input voltage which is an important disadvantage in high input voltage applications. So, high voltage
semiconductor devices should be used, where they suffer from high on resistance, high forward voltage drop, high output
capacitor and high cost. High voltage across switches and diodes, before turn-on and after turn-off causes high switching
losses and high losses related to reverse recovery of diodes [2]. So, a three level buck converter is introduced to reduce
voltage stress of its switches and diodes are half of its input voltage but the conversion ratio is still similar to the
conventional buck converter.
II. INTERLEAVED BUCK CONVERTER
The conventional interleaved buck converter is shown in Fig.1. This converter having two switches Q1 and Q2, diodes D1
and D2, and inductors L1 and L2 only. The conventional interleaved buck converter has many disadvantages are high
ripple current and voltage stress. To overcome the disadvantages of conventional interleaved buck converter, introduce a
new interleaved buck converter. The new interleaved buck converter is shown in Fig.2 which suitable for high input
voltage, high step-down, non-isolated applications with low output current and continuous input current. It is similar to a
three- level buck converter, but the two input capacitors are not connected to each other and also there is an auxiliary
inductor at the converter output stage. The two active switches are controlled by two PWM pulses 180 degrees out of
phase. The converter has four distinct operating intervals in a switching period. The operating waveforms are shown in
Fig.3 and detailed operation modes of the converter also explained.
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 62
Paper Publications
Fig.1. Conventional Interleaved Buck Converter Fig.2. New Interleaved Buck Converter
A. Modes of Operation:
(a). Mode 1[t0 −t1]
Fig.4 shows the equivalent circuit of the new IBC in this interval. Prior to this interval both switches are off, the
freewheeling diodes are conducting and the input capacitors Cin1 and Cin2 are charged. At t0, Q1 is turned on, so D1 turns
off. In this interval Cin2 is charged through Vin and L1, and also Cin1 is being discharged through L1-Lo-Co. In addition, L1
current is increasing through both of the mentioned current paths. L2 current is decreasing in this state.
Fig.3. Theoretical Waveforms
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 63
Paper Publications
Fig.4. Mode1 (Equivalent circuit)
Voltages and current equation of this interval are as following,
VL1 (t) = VCin1 – Vout – VLo (t) = Vin – VCin2 (1)
VLo (t) = Vin + Vout – VCin1 – VCin2 (2)
VL2 (t) = -Vout – VLo (t) (3)
ILo (t) = IL1 + IL2 + Iin (t) (4)
(b). Mode 2[t1 − t3]
Fig.5 shows the equivalent circuit of the new IBC in this interval. This interval starts when Q1 turns off. By turning Q1
off, L1 continues it’s current and turns D1 on. Part of the inductor current which was flowing in Cin1-L1-Lo-Co, continues
its path through D1-L1-Lo-Co, and the other part of L1 current runs through Vin-Cin1-D1-L1-Cin2. So, during this interval, L1
and L2 are discharging and Cin1 and Cin2 are charging through Vin-Cin1-D1-L1-Cin2 and Vin-Cin1-L2-D2-Cin2.
Fig.5. Mode2 (Equivalent circuit)
Using KVL law in D1-L1-Lo-Co and D2-L2-Lo-Co path, VL1 and VL2 are obtained as following,
VL1 (t) = -Vout – VLo (t) (5)
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 64
Paper Publications
VL2 (t) = -Vout – VLo (t) (6)
And for Vin-Cin1-D1-L1-Cin2 and Vin-Cin1-L2-D2-Cin2 paths VL1 and VL2 would be
VL1 (t) = Vin – VCin1 – VCin2 (7)
VL2 (t) = Vin – VCin1 – VCin2 (8)
So, VLo in this interval is
VLo (t) = Vin + Vout – VCin1 – VCin2 (9)
As it’s obvious, (9) is the same as (2). According to Volt- Second-Balance (VSB), for Lo in one switching period, VLo is
VLo (t) = 0 (10)
Also from KCL law, ILo (t) in this interval is
ILo (t) = IL1 + IL2 - Iin(t) (11)
Due to symmetric operation of two modules in an interleaved buck converter, the operations of interval 3 and interval 4
are similar to those of interval 1 and interval 2.
III. SIMULATION MODEL AND RESULTS
In order to verify the operation principle and the theoretical analysis, conventional and new interleaved buck converters
are simulated with MATLAB/SIMULINK simulation software and the simulation parameters are listed in Table.1. All
switches using in simulation are ideal switches. Switching frequency is takenas100kHz.
TABLE I: SIMULATION PARAMETERS
A. Simulink Model:
Simulink model of conventional and new interleaved buck converters are shown in Fig.7 and Fig.8. MOSFET’s are used
as switches. Output voltage, output current ripple and stresses across switches are analyzed from the simulation results.
Fig.7. Simulink model of Conventional Interleaved Buck Converter
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 65
Paper Publications
Fig.8. Simulink model of New Interleaved Buck Converter
B. Simulation Results:
Fig.9 shows the switching pulseforbothconventionalandnewinterleavedbuckconverter.The two active switches are controlled by two
PWM pulses 180 degrees out of phase. Fig.10 shows that input voltage waveform. Input voltage is given to both
converters are 200V. Fig.11 and Fig.12 shows that output voltage waveform of conventional and new interleaved buck
converter respectively. For conventional interleaved buck converter, 47.7V is obtained and for new interleaved buck
converter, 26.5V is obtained. Fig.13 and Fig.14 shows that inductor current waveform of both conventional and new
interleaved buck converter. Fig.15 and Fig.16 shows that input current waveform of conventional and new interleaved
buck converter respectively. Input current waveform of new interleaved buck converter is continuous compared to
conventional interleaved buck converter. Fig.17 and Fig.18 shows that output current waveform of conventional and new
interleaved buck converter respectively. For conventional interleaved buck converter, 19.87A is obtained and for new
interleaved buck converter, 11.042A is obtained. Fig.19 and Fig.20 shows that voltage stress across switches for
conventional and new interleaved buck converter respectively. Voltage stress across switches in conventional interleaved
buck converter is 200V and for new interleaved buck converter is 116V.
Fig.9. Switching Pulse
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 66
Paper Publications
Fig.10. Input Voltage Waveform of CIBC and NIBC
Fig.11. Output Voltage Waveform of CIBC Fig.12. Output Voltage Waveform of NIBC
Fig.13. Inductor Current of CIBC Fig.14. Inductor Current of NIBC
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 67
Paper Publications
Fig.15. Input Current Waveform of CIBC Fig.16. Input Current Waveform of NIBC
Fig.17. Output Current Waveform of CIBC Fig.18. Output Current Waveform of NIBC
Fig.19. Voltage Stress of Switches in CIBC Fig.20. Voltage Stress of Switches in NIBC
TABLE II: COMPARATIVE STUDY
Parameters Conventional IBC New IBC
Output Voltage 47.7 V 26.5 V
Voltage Stress across Switch 200 V 116 V
Output Current Ripple 0.335 A 0.084 A
Output Voltage Ripple 0.850 V 0.084 A
Input Current Discontinuous Continuous
Stepdown Conversion Ratio 0.24 0.13
ISSN 2349-7815
International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)
Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org
Page | 68
Paper Publications
Table II shows that comparative study of conventional and new interleaved buck converter. Output voltage is reduced by
44.4%. Voltage stress across Q1 & Q2 decreased by 42% for both switches. Output current ripple of new interleaved buck
converter is reduced by 74.92%. Voltage conversion ratio is improved by 45.83%. And also, input current of new
interleaved buck converter is continuous compared to conventional interleaved buck converter.
IV. CONCLUSIONS
An interleaved DC-DC step down converter for low output voltage and high output current suitable for VRM application
is presented here. The paper explains clearly the operating principle of two phases IBC with equivalent circuits. The new
interleaved buck converter has many advantages like improved step-down conversion ratio, extremely low output current
ripple and low switching losses. Also, the voltage stress of semiconductor components in the new interleaved buck
converter is much smaller than the conventional interleaved buck converter. All these benefits are obtained without
applying any additional voltage or current stress on the components.
REFERENCES
[1] Pit-Leong Wong, Peng Xu, B. Yang and F.C. Lee, “Performance improvements of interleaving VRMs with coupling
inductors,” IEEE Trans. Power Electron., vol.16, no.4, pp.499, 507, Jul 2001.
[2] Xiong Du, Luowei Zhou, Heng-Ming Tai, “Double-frequency buck converter,” IEEE Trans. Ind. Electron., vol.56,
no.5, pp.1690,1698, May 2009.
[3] Il-Oun Lee, Shin-Young Cho, Gun-Woo Moon, “Interleaved buck converter having low switching losses and
improved step-down conversion ratio,” IEEE Trans. Power Electron., vol.27, no.8, pp.3664,3675, Aug. 2012.
[4] Ching-Tsai Pan, Chen-Feng Chuang, Chia-Chi Chu, “A novel transformerless interleaved high step-down
conversion ratio DC–DC converter with low switch voltage stress,” IEEE Trans. Ind. Electron., vol.61, no.10,
pp.5290,5299, Oct. 2014.
[5] Peng Xu, Jia Wei, Lee F.C, “Multiphase coupled-buck converter-a novel high efficient 12 V voltage regulator
module," IEEE Trans. Power Electron., vol.18, no.1, pp.74,82, Jan 2003.
[6] Xinbo Ruan Bin Li, Qianhong Chen, Siew-Chong Tan, Tse C.K, “Fundamental considerations of three-level DC–
DC converters: topologies, analyses, and control,” IEEE Trans. Circuits and Systems I: Regular Papers, vol.55,
no.11, pp.3733,3743, Dec. 2008.
[7] X. Ruan, J. Wei and Y. Xue, “Three-level converters with the input and output sharing the ground,” Power
Electronics Specialist Conference, 2003. PESC '03. 2003 IEEE 34th Annual, vol.4, no., pp.1919, 1923 vol.4, 1June
2003.

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Comparative Study of Interleaved Buck Converters

  • 1. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 61 Paper Publications Comparative Study of Interleaved Buck Converters Vinny Babu1 , Prof. Ninu Joy2 , Prof. Honey Susan Eldo3 1 PG Scholar, Dept. of EEE, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India 2,3 Assistant Professor, Dept. of EEE, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India Abstract: An Interleaved Buck Converter (IBC) with continuous input current, extremely low output current ripple, low switching losses and improved step-down conversion ratio is presented in this work. The new interleaved buck converter has lower voltage stress in comparison to the conventional IBC and also can provide a high step-down ratio which makes it a proper choice for high power applications. Also new interleaved buck converter can provide current-sharing between two interleaved modules without using additional current-sharing control method. The new interleaved buck converter is simulated by using MATLAB/Simulink and the experimental results can be obtained. Keywords: Two Phase Interleaved Buck Converter, Continuous Conduction Mode, low switching voltage stress. I. INTRODUCTION Now adays, the tendency to use high performance high step-down DC-DC converters, in applications such as VRMs for microprocessors and battery chargers, has increased [1]. For non-isolated low output current ripple applications, interleaved buck converter (IBC) is an excellent choice due to its simple structure and control. Although, the conventional IBC has some advantages, like current sharing capability between modules, current ripple cancellation and fast transient response, but it suffers from few disadvantages. First of all, voltage stress of switches and diodes of conventional IBC is equal to the input voltage which is an important disadvantage in high input voltage applications. So, high voltage semiconductor devices should be used, where they suffer from high on resistance, high forward voltage drop, high output capacitor and high cost. High voltage across switches and diodes, before turn-on and after turn-off causes high switching losses and high losses related to reverse recovery of diodes [2]. So, a three level buck converter is introduced to reduce voltage stress of its switches and diodes are half of its input voltage but the conversion ratio is still similar to the conventional buck converter. II. INTERLEAVED BUCK CONVERTER The conventional interleaved buck converter is shown in Fig.1. This converter having two switches Q1 and Q2, diodes D1 and D2, and inductors L1 and L2 only. The conventional interleaved buck converter has many disadvantages are high ripple current and voltage stress. To overcome the disadvantages of conventional interleaved buck converter, introduce a new interleaved buck converter. The new interleaved buck converter is shown in Fig.2 which suitable for high input voltage, high step-down, non-isolated applications with low output current and continuous input current. It is similar to a three- level buck converter, but the two input capacitors are not connected to each other and also there is an auxiliary inductor at the converter output stage. The two active switches are controlled by two PWM pulses 180 degrees out of phase. The converter has four distinct operating intervals in a switching period. The operating waveforms are shown in Fig.3 and detailed operation modes of the converter also explained.
  • 2. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 62 Paper Publications Fig.1. Conventional Interleaved Buck Converter Fig.2. New Interleaved Buck Converter A. Modes of Operation: (a). Mode 1[t0 −t1] Fig.4 shows the equivalent circuit of the new IBC in this interval. Prior to this interval both switches are off, the freewheeling diodes are conducting and the input capacitors Cin1 and Cin2 are charged. At t0, Q1 is turned on, so D1 turns off. In this interval Cin2 is charged through Vin and L1, and also Cin1 is being discharged through L1-Lo-Co. In addition, L1 current is increasing through both of the mentioned current paths. L2 current is decreasing in this state. Fig.3. Theoretical Waveforms
  • 3. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 63 Paper Publications Fig.4. Mode1 (Equivalent circuit) Voltages and current equation of this interval are as following, VL1 (t) = VCin1 – Vout – VLo (t) = Vin – VCin2 (1) VLo (t) = Vin + Vout – VCin1 – VCin2 (2) VL2 (t) = -Vout – VLo (t) (3) ILo (t) = IL1 + IL2 + Iin (t) (4) (b). Mode 2[t1 − t3] Fig.5 shows the equivalent circuit of the new IBC in this interval. This interval starts when Q1 turns off. By turning Q1 off, L1 continues it’s current and turns D1 on. Part of the inductor current which was flowing in Cin1-L1-Lo-Co, continues its path through D1-L1-Lo-Co, and the other part of L1 current runs through Vin-Cin1-D1-L1-Cin2. So, during this interval, L1 and L2 are discharging and Cin1 and Cin2 are charging through Vin-Cin1-D1-L1-Cin2 and Vin-Cin1-L2-D2-Cin2. Fig.5. Mode2 (Equivalent circuit) Using KVL law in D1-L1-Lo-Co and D2-L2-Lo-Co path, VL1 and VL2 are obtained as following, VL1 (t) = -Vout – VLo (t) (5)
  • 4. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 64 Paper Publications VL2 (t) = -Vout – VLo (t) (6) And for Vin-Cin1-D1-L1-Cin2 and Vin-Cin1-L2-D2-Cin2 paths VL1 and VL2 would be VL1 (t) = Vin – VCin1 – VCin2 (7) VL2 (t) = Vin – VCin1 – VCin2 (8) So, VLo in this interval is VLo (t) = Vin + Vout – VCin1 – VCin2 (9) As it’s obvious, (9) is the same as (2). According to Volt- Second-Balance (VSB), for Lo in one switching period, VLo is VLo (t) = 0 (10) Also from KCL law, ILo (t) in this interval is ILo (t) = IL1 + IL2 - Iin(t) (11) Due to symmetric operation of two modules in an interleaved buck converter, the operations of interval 3 and interval 4 are similar to those of interval 1 and interval 2. III. SIMULATION MODEL AND RESULTS In order to verify the operation principle and the theoretical analysis, conventional and new interleaved buck converters are simulated with MATLAB/SIMULINK simulation software and the simulation parameters are listed in Table.1. All switches using in simulation are ideal switches. Switching frequency is takenas100kHz. TABLE I: SIMULATION PARAMETERS A. Simulink Model: Simulink model of conventional and new interleaved buck converters are shown in Fig.7 and Fig.8. MOSFET’s are used as switches. Output voltage, output current ripple and stresses across switches are analyzed from the simulation results. Fig.7. Simulink model of Conventional Interleaved Buck Converter
  • 5. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 65 Paper Publications Fig.8. Simulink model of New Interleaved Buck Converter B. Simulation Results: Fig.9 shows the switching pulseforbothconventionalandnewinterleavedbuckconverter.The two active switches are controlled by two PWM pulses 180 degrees out of phase. Fig.10 shows that input voltage waveform. Input voltage is given to both converters are 200V. Fig.11 and Fig.12 shows that output voltage waveform of conventional and new interleaved buck converter respectively. For conventional interleaved buck converter, 47.7V is obtained and for new interleaved buck converter, 26.5V is obtained. Fig.13 and Fig.14 shows that inductor current waveform of both conventional and new interleaved buck converter. Fig.15 and Fig.16 shows that input current waveform of conventional and new interleaved buck converter respectively. Input current waveform of new interleaved buck converter is continuous compared to conventional interleaved buck converter. Fig.17 and Fig.18 shows that output current waveform of conventional and new interleaved buck converter respectively. For conventional interleaved buck converter, 19.87A is obtained and for new interleaved buck converter, 11.042A is obtained. Fig.19 and Fig.20 shows that voltage stress across switches for conventional and new interleaved buck converter respectively. Voltage stress across switches in conventional interleaved buck converter is 200V and for new interleaved buck converter is 116V. Fig.9. Switching Pulse
  • 6. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 66 Paper Publications Fig.10. Input Voltage Waveform of CIBC and NIBC Fig.11. Output Voltage Waveform of CIBC Fig.12. Output Voltage Waveform of NIBC Fig.13. Inductor Current of CIBC Fig.14. Inductor Current of NIBC
  • 7. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 67 Paper Publications Fig.15. Input Current Waveform of CIBC Fig.16. Input Current Waveform of NIBC Fig.17. Output Current Waveform of CIBC Fig.18. Output Current Waveform of NIBC Fig.19. Voltage Stress of Switches in CIBC Fig.20. Voltage Stress of Switches in NIBC TABLE II: COMPARATIVE STUDY Parameters Conventional IBC New IBC Output Voltage 47.7 V 26.5 V Voltage Stress across Switch 200 V 116 V Output Current Ripple 0.335 A 0.084 A Output Voltage Ripple 0.850 V 0.084 A Input Current Discontinuous Continuous Stepdown Conversion Ratio 0.24 0.13
  • 8. ISSN 2349-7815 International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) Vol. 4, Issue 2, pp: (61-68), Month: April - June 2017, Available at: www.paperpublications.org Page | 68 Paper Publications Table II shows that comparative study of conventional and new interleaved buck converter. Output voltage is reduced by 44.4%. Voltage stress across Q1 & Q2 decreased by 42% for both switches. Output current ripple of new interleaved buck converter is reduced by 74.92%. Voltage conversion ratio is improved by 45.83%. And also, input current of new interleaved buck converter is continuous compared to conventional interleaved buck converter. IV. CONCLUSIONS An interleaved DC-DC step down converter for low output voltage and high output current suitable for VRM application is presented here. The paper explains clearly the operating principle of two phases IBC with equivalent circuits. The new interleaved buck converter has many advantages like improved step-down conversion ratio, extremely low output current ripple and low switching losses. Also, the voltage stress of semiconductor components in the new interleaved buck converter is much smaller than the conventional interleaved buck converter. All these benefits are obtained without applying any additional voltage or current stress on the components. REFERENCES [1] Pit-Leong Wong, Peng Xu, B. Yang and F.C. Lee, “Performance improvements of interleaving VRMs with coupling inductors,” IEEE Trans. Power Electron., vol.16, no.4, pp.499, 507, Jul 2001. [2] Xiong Du, Luowei Zhou, Heng-Ming Tai, “Double-frequency buck converter,” IEEE Trans. Ind. Electron., vol.56, no.5, pp.1690,1698, May 2009. [3] Il-Oun Lee, Shin-Young Cho, Gun-Woo Moon, “Interleaved buck converter having low switching losses and improved step-down conversion ratio,” IEEE Trans. Power Electron., vol.27, no.8, pp.3664,3675, Aug. 2012. [4] Ching-Tsai Pan, Chen-Feng Chuang, Chia-Chi Chu, “A novel transformerless interleaved high step-down conversion ratio DC–DC converter with low switch voltage stress,” IEEE Trans. Ind. Electron., vol.61, no.10, pp.5290,5299, Oct. 2014. [5] Peng Xu, Jia Wei, Lee F.C, “Multiphase coupled-buck converter-a novel high efficient 12 V voltage regulator module," IEEE Trans. Power Electron., vol.18, no.1, pp.74,82, Jan 2003. [6] Xinbo Ruan Bin Li, Qianhong Chen, Siew-Chong Tan, Tse C.K, “Fundamental considerations of three-level DC– DC converters: topologies, analyses, and control,” IEEE Trans. Circuits and Systems I: Regular Papers, vol.55, no.11, pp.3733,3743, Dec. 2008. [7] X. Ruan, J. Wei and Y. Xue, “Three-level converters with the input and output sharing the ground,” Power Electronics Specialist Conference, 2003. PESC '03. 2003 IEEE 34th Annual, vol.4, no., pp.1919, 1923 vol.4, 1June 2003.