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Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57
RESEARCH ARTICLE

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OPEN ACCESS

Investigation of AC/DC Converters with PFC and Output
Isolation Diodes
Mihail H. Antchev, MariyaP.Petkova, Hristo M. Antchev
Power Electronics Department, Technical University-Sofia, Bulgaria

ABSTRACT
This paper presents computer simulation and experimental results of a research on two parallel connected single
phase AC/DC converters with power factor correction and control scheme realized by L4981A controller. The
analysis is focused on: power factor and harmonic distortion of the grid current; transient process of settlement
of the steady state of the output voltage and its pulsations; output currents sharing at initial start and steady state.
Keywords–power factor correction, parallel operation

I.

INTRODUCTION

Theoretical basis of parallel connected
DC/DC converters is presented in [1]. There are
different methods of load sharing between the
different converters depending on their connectionparallel or series [2], [3], [4], [5], [6], [7], [8].
Industrial producers offer specialized controllers for
current sharing of parallel connected converters [9],
[10], [11], [12]. There are researches on parallel
operation of AC/DC converters with PFC which
uses different methods [13], [14], [15]. The most
popular is the so called “interleaving operation” or
“multiphase operation”, in DC/DC converters as
well as in AC/DC converters with PFC, for example
[4], [5], [15]. Several variations of such AC/DC
converters with PFC are described in [16], [17],
[18]. The presented methods require resources for
additional schemes and sometimes software in the
control systems of the converters. The unique
function of these additional schemes or software is
the current sharing of the output currents.
One popular and effective method for
parallel connection of DC/DC converters is by
means of “output isolation diodes” [19], [20], [21].
The purpose of this paper is to present the research
on the application of the presented method for
converters with PFC. It uses two independent
converters realized with identical elements. They
both are connected to the same grid voltage and their
outputs- by means of output isolation diodes. The
converters operate independently of one another
without any synchronization. The aim of the

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research is to determine the sharing of the output
voltages and currents during the transient process
and steady state. Furthermore to research on the
parameters of the grid for both converters – power
factor and harmonic distortion of the current as well
as the pulsations of the output voltage and to
compare them to analogical results in case of one
converter.
II.

COMPUTER SIMULATION ANALYSIS

Computer simulation analysis is realized by
means of PSIM software. Computer simulation
model is presented in Fig.1. The values of the main
elements are the same as those used for the
experimental analysis. Operating frequencies of
both converters are 66 kHz and 66.5 kHz. They are
set by means of voltage controlled oscillator.
Inductances values are 300 µН, and output capacitor
values are 300 µF. For the simulation analysis of the
model of Fig.1 the value of the output voltage for the
lower converter is 458V, and for the upper one –
463V. This is implemented by the voltage
sourcesV0ref. The values of these voltage sources are
lessened by 33.33. For the computer simulation and
experimental analysis the elements defining the
transfer functions of the two
converters are
calculated and set according to the methodology of
the producer of the controller L4981A [22]. The
effective value of the grid voltage is 230V, and the
load resistance value - 137Ω, which corresponds to
an output power of 1.5kW.

51|P a g e
Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57

www.ijera.com

Fig.1. Computer simulation model
In Fig.2 and Fig.3 are presented results of computer
simulation for the input currents, and in Fig.4 and
Fig.5– for the output voltages of both converters.

Fig.3. Steay state. From top to bottom: grid current,
input current of the first converter, input current of
the second converter, input voltage
Fig.2. Initial start of the converters. From top to
bottom: grid current, input current of the first
converter, input current of the second converter,
input voltage.

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From the presenetd results in Fig.2 and
Fig.3 it is obvious that there is good input current
sharing ofboth converters during the initial start as
well as during the steady state.

52|P a g e
Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57

Fig.4. Transient process during the initial start. From
top to bottom: input voltage, output voltage of the
first converter, output voltage of the second
converter.
In Fig.4 and Fig.5 one can observe that
during the initial start both voltages have similar
values and steady state output voltages are equilized
at the value of 455V.

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Fig.5. Output steady state. From top to bottom: input
voltage, output voltage of the first converter, output
voltage of the second converter

I DC1
c

PFC1

c

c

c

L

VD
RG

c

R1

VT

RLOAD

c

CO

 U OUT

RS

Z1C

 U OUT

VDPFC1

R2
c

c

c

c

c

c

Z 2C
c

I AC

I DC 2

1
U RMS

U RMS



CA



U EA
c

Driver

Z 2V

c





Z1V

R1SH
c

L4981A

C1SH
c

CH 1
 U ~ I AC1

Tr1

I AC1
c

VA

c

I AC1 ~ I DC1

c

c

I AC 2 ~ I DC 2

COM

c

U AC
c

c

I AC 2

R2 SH C2 SH
c

c

CH 2

 U ~ I AC 2
Tr2
c

c

c

PFC2
VDPFC 2

Fig.6. Experimental analysis model
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53|P a g e
Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57
III. EXPERIMENTAL ANALYSIS
The experimental analysis model is
presented in Fig.6. For the practical realization each
capacitor consists of series connection of two
capacitors of 600µF, and each of them of six parallel
connected capacitors of 100µF. It is due to the value
of the output voltage- bigger than 450V as well as
for the diminution of the equivalent output
resistance. The transistors of the boost converters are
STN55NM60N, and the diodes – STTH12R06D.
Output diodes of both converters are STTH12R06D.
For the purpose of themeasurements of the input
currents, anti harmonic filters are not connected,
because they can introduce error in the
measurement. Because of the unusual shape of the
currents, additional masurement system is realized.
It consists of current transformers Tr1, Tr2 and their
elements. Current transformers are CR8350 – 2500N
of CR Magnetics. They have 10 primary turns and
the secondary winding is loaded by a resistor
100Ω/1%. Capacitor value value is 1000µF ± 1%.
So the mean value of the primary current is 2.5А
corresponding to an output voltage of 1V to the
oscilloscopechannels.

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As the converters are converters with PFC
and if we admit that their efficiency is approximately
1, so the analysis of the experimental results of the
output current of each of the converters could be
based on the following equation:

U S .I S  U OUT .I O 

2
U OUT
RLOAD

(1)
US, IS are the effective values of the grid voltage and
current. As the input voltage US for both modules is
the same, as well as the load RLOAD is common, so if
equality of the efficient values is settled (or because
of the sinusoidal waveform of the current- the mean
values) of the input currents, so based on (1) at same
outut voltage there is equalty of output currents IO.
This conclusion is valid in case of efficiency
different from 1 but if converters’ efficiencies have
close values.
In Fig.7 is presented the
experimental model of the system. In case of
independent operation and output current of 1.25A
modules output values are 458.8V and 460.3V.
Operation frequency difference is below 2%.

Fig.7. Experimental model

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54|P a g e
Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57

www.ijera.com

In Fig.8 are presented the grid parameters in case of one or two parallel connected converters operating. The
measurements are done by means of Power Quality Analyzer Fluke 434. In case of two converters the current
total harmonic distortion is diminishing from 15% to 9.3% at lower values of 3rd, 5th and 7th harmonics.

а) voltage and current of the grid

b) harmonic analysis of the grid current

c) power, power factor, cosφ
Fig.8. Grid parameters for one converter – left figures and two parallel connected converters- right figures.
In Fig.9 are presented the curves for some characteristic parameters. In case of two parallel connected
converters the duration of the transient process during initial start is diminished as well as the pulsations of the
output voltage. In case of one converter transient process duration is 50µs, and in case of two converters
approcimately 25µs - Fig.9а. In case of one converter operation, pulsation magnitude is approximately 40V, and
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55|P a g e
Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57

www.ijera.com

in case of two converters – approximately 20V – Fig.9b. The measured load voltage is 455.5 V. The curves of
Fig.9c present the current load of both converters as well as lack of fluctuations of the output voltage with
frequency different of its pulsations frequency. The measurement shows current difference of not more than 2%.

а) transient process at initial start for one converter-left figure and two converters-right figure

b) output voltage pulsations for one converter-left figure and two converters-right figure

c) both grid currents values- left figure and output voltage – СН1of two parallel connected converters – right
figure
Fig.9. Transient process curves, output voltage pulsations and input current measurement signals.

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56|P a g e
Mihail H. Antchev et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57
IV. Conclusion
The results of this paper present good
output currents sharing and improvement of the grid
parameters. This is obtained only by the use of
output isolation diodes. During their operation there
is no synchronization and permanent phase shift,
which are typical for the “interleaved converters”, as
well as additional measures to equalize the currents
by means of control systems. This means that the
converters are independent and their parallel
connection is easier. This paper completes the
method of “output isolation diodes” regarding
AC/DC converters with PFC, by obtaining better
parameters of the grid.
References
[1] YHuang and CK Tce, Circuit Theoretic
Classification of Parallel Connected DC-DC
Converters, IEEE Trans. on CS, 54(5),
2007,1099-1108.
[2] A Altowati, K Zenger and H Koivo,
Modeling and Control design of Paralleled
DC-DC Swiching Converters, Proc of Int.
conf. of Communication, Computer and
Power – ICCCP09, 2009, 231-236.
[3] V Choudhary, E Ledezma, R Ayyanar and R
M Button, Fault Tolerant Circuit Topology
and Control Method for Input-Series and
Output-Parralel
Modular
DC-DC
Converters, IEEE Trans. on PE, 23(1), 2008,
402-411.
[4] B Hyunsu, J Lee, J Yang and B H Cho,
Digital Resistive Current (DRC) Control for
the Parallel Interleaved DC-DC Converters,
IEEE Trans. on PE, 23(5), 2008,2465-2476.
[5] KAnthony, Current Share in Multiphase DCDC Converters Using Digital Filtering
Techniques, IEEE Trans. on PE, 24(1), 2009,
212-220.
[6] M Hong, L Yao, C Wang and IBatarseh,
Analysis of Inductor Current Sharing in
Nonisolated and Isolated Multiphase dc-dc
Converters, IEEE Trans. on IE, 54(6), 2007,
3379-3388.
[7] M K Sudip, M Tahir and K Acharya,
Master-Slave Current-Sharing Control of a
Parallel DC-DC Converter System Over an
RF Communication Interface, IEEE Trans.
on IE, 55(1), 2008,59-66.
[8] J B Wang, Primary Droop Current-Sharing
Control of the Parallel DC/DC Converters
System
Considering
Output
Cable
Resistance, Anvances in Power Electronics,
2011,1 -13.
[9] L Balosh, The UC3902 Load Share
Controller and its Performance in Distributed
Power Systems, (Unitrode Corp., AN U163,1999).
www.ijera.com

www.ijera.com

[10] L Salati, L6615 Load Share Controller for
N+1
Redundant,
Hot-Swappable
Application, (ST Microelectronics, AN1696,
2003).
[11] STMicroelectronics, Current Sharing of the
L4973 in a Multiphase Application, (AN
1126, Italy,1999).
[12] C Wei, High Efficiency, High Density,
Polyphase Converters for High Current
Applications, (Linear Technology, AN77,
September,1999).
[13] Y Chen and K MSmedley, Parallel
Operation of One-Cycle Controlled ThreePhase PFC Rectifiers, IEEE Trans. on IE,
54(6), 2007, 3217 - 3224.
[14] S Kim and P NEnjeti, Control of Multiple
Single-Phase PFC Modules With a Single
Low-Cost DSP, IEEE Trans. on IA, 39(5),
2003, 1379 – 1385.
[15] Texas Instruments, Interleaving Continuous
Conduction Mode PFC Controller, AN
SLUS 794E, 2011.
[16] V Akin, M Bhardwaj and S Choudhury, An
Integrated Implementation of Tho- Phase
Interleaved PFC and Dual Motor Drive
Using Single MCU with CLA.,IEEE Trans.
on II, 9(4), 2013, 2082-2091.
[17] Z Zhiliang, X Chuangang and Y F Liu, A
Digital Adaptive Discontinuous Current
Source
Driver
for
High-Frequency
Interleaved Boost PFC Converters, IEEE
Trans.on PE, 29(3), 2014, 1298-1310.
[18] C Marxgut, FKrismer, D Bortis and JKolar,
Ultraflat Interleaved Triangular Current
Mode (TCM) Single-Phase PFG Rectifier,
IEEE Trans.on PE, 29(2), 2014, 873-882.
[19] Kepco Company, Using Isolation Diodes for
Parallel-redundant
Operation,
http://www.kepcopower.com/support/diodes.
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[20] XPPower, Parallel & Series Operation,
http://www.xppower.com/pdfs/Operation.pdf
[21] Wall Industries, Parallel Operation of DC
Power Modules, Appl. Note 3, Rev.A.
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[22] SGS-Thomson, Designing a high Power
Factor Preregulator with the L4981
continuous mode, AN628/1297, 1997.

57|P a g e

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J42065157

  • 1. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 RESEARCH ARTICLE www.ijera.com OPEN ACCESS Investigation of AC/DC Converters with PFC and Output Isolation Diodes Mihail H. Antchev, MariyaP.Petkova, Hristo M. Antchev Power Electronics Department, Technical University-Sofia, Bulgaria ABSTRACT This paper presents computer simulation and experimental results of a research on two parallel connected single phase AC/DC converters with power factor correction and control scheme realized by L4981A controller. The analysis is focused on: power factor and harmonic distortion of the grid current; transient process of settlement of the steady state of the output voltage and its pulsations; output currents sharing at initial start and steady state. Keywords–power factor correction, parallel operation I. INTRODUCTION Theoretical basis of parallel connected DC/DC converters is presented in [1]. There are different methods of load sharing between the different converters depending on their connectionparallel or series [2], [3], [4], [5], [6], [7], [8]. Industrial producers offer specialized controllers for current sharing of parallel connected converters [9], [10], [11], [12]. There are researches on parallel operation of AC/DC converters with PFC which uses different methods [13], [14], [15]. The most popular is the so called “interleaving operation” or “multiphase operation”, in DC/DC converters as well as in AC/DC converters with PFC, for example [4], [5], [15]. Several variations of such AC/DC converters with PFC are described in [16], [17], [18]. The presented methods require resources for additional schemes and sometimes software in the control systems of the converters. The unique function of these additional schemes or software is the current sharing of the output currents. One popular and effective method for parallel connection of DC/DC converters is by means of “output isolation diodes” [19], [20], [21]. The purpose of this paper is to present the research on the application of the presented method for converters with PFC. It uses two independent converters realized with identical elements. They both are connected to the same grid voltage and their outputs- by means of output isolation diodes. The converters operate independently of one another without any synchronization. The aim of the www.ijera.com research is to determine the sharing of the output voltages and currents during the transient process and steady state. Furthermore to research on the parameters of the grid for both converters – power factor and harmonic distortion of the current as well as the pulsations of the output voltage and to compare them to analogical results in case of one converter. II. COMPUTER SIMULATION ANALYSIS Computer simulation analysis is realized by means of PSIM software. Computer simulation model is presented in Fig.1. The values of the main elements are the same as those used for the experimental analysis. Operating frequencies of both converters are 66 kHz and 66.5 kHz. They are set by means of voltage controlled oscillator. Inductances values are 300 µН, and output capacitor values are 300 µF. For the simulation analysis of the model of Fig.1 the value of the output voltage for the lower converter is 458V, and for the upper one – 463V. This is implemented by the voltage sourcesV0ref. The values of these voltage sources are lessened by 33.33. For the computer simulation and experimental analysis the elements defining the transfer functions of the two converters are calculated and set according to the methodology of the producer of the controller L4981A [22]. The effective value of the grid voltage is 230V, and the load resistance value - 137Ω, which corresponds to an output power of 1.5kW. 51|P a g e
  • 2. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 www.ijera.com Fig.1. Computer simulation model In Fig.2 and Fig.3 are presented results of computer simulation for the input currents, and in Fig.4 and Fig.5– for the output voltages of both converters. Fig.3. Steay state. From top to bottom: grid current, input current of the first converter, input current of the second converter, input voltage Fig.2. Initial start of the converters. From top to bottom: grid current, input current of the first converter, input current of the second converter, input voltage. www.ijera.com From the presenetd results in Fig.2 and Fig.3 it is obvious that there is good input current sharing ofboth converters during the initial start as well as during the steady state. 52|P a g e
  • 3. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 Fig.4. Transient process during the initial start. From top to bottom: input voltage, output voltage of the first converter, output voltage of the second converter. In Fig.4 and Fig.5 one can observe that during the initial start both voltages have similar values and steady state output voltages are equilized at the value of 455V. www.ijera.com Fig.5. Output steady state. From top to bottom: input voltage, output voltage of the first converter, output voltage of the second converter I DC1 c PFC1 c c c L VD RG c R1 VT RLOAD c CO  U OUT RS Z1C  U OUT VDPFC1 R2 c c c c c c Z 2C c I AC I DC 2 1 U RMS U RMS  CA  U EA c Driver Z 2V c   Z1V R1SH c L4981A C1SH c CH 1  U ~ I AC1 Tr1 I AC1 c VA c I AC1 ~ I DC1 c c I AC 2 ~ I DC 2 COM c U AC c c I AC 2 R2 SH C2 SH c c CH 2  U ~ I AC 2 Tr2 c c c PFC2 VDPFC 2 Fig.6. Experimental analysis model www.ijera.com 53|P a g e
  • 4. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 III. EXPERIMENTAL ANALYSIS The experimental analysis model is presented in Fig.6. For the practical realization each capacitor consists of series connection of two capacitors of 600µF, and each of them of six parallel connected capacitors of 100µF. It is due to the value of the output voltage- bigger than 450V as well as for the diminution of the equivalent output resistance. The transistors of the boost converters are STN55NM60N, and the diodes – STTH12R06D. Output diodes of both converters are STTH12R06D. For the purpose of themeasurements of the input currents, anti harmonic filters are not connected, because they can introduce error in the measurement. Because of the unusual shape of the currents, additional masurement system is realized. It consists of current transformers Tr1, Tr2 and their elements. Current transformers are CR8350 – 2500N of CR Magnetics. They have 10 primary turns and the secondary winding is loaded by a resistor 100Ω/1%. Capacitor value value is 1000µF ± 1%. So the mean value of the primary current is 2.5А corresponding to an output voltage of 1V to the oscilloscopechannels. www.ijera.com As the converters are converters with PFC and if we admit that their efficiency is approximately 1, so the analysis of the experimental results of the output current of each of the converters could be based on the following equation: U S .I S  U OUT .I O  2 U OUT RLOAD (1) US, IS are the effective values of the grid voltage and current. As the input voltage US for both modules is the same, as well as the load RLOAD is common, so if equality of the efficient values is settled (or because of the sinusoidal waveform of the current- the mean values) of the input currents, so based on (1) at same outut voltage there is equalty of output currents IO. This conclusion is valid in case of efficiency different from 1 but if converters’ efficiencies have close values. In Fig.7 is presented the experimental model of the system. In case of independent operation and output current of 1.25A modules output values are 458.8V and 460.3V. Operation frequency difference is below 2%. Fig.7. Experimental model www.ijera.com 54|P a g e
  • 5. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 www.ijera.com In Fig.8 are presented the grid parameters in case of one or two parallel connected converters operating. The measurements are done by means of Power Quality Analyzer Fluke 434. In case of two converters the current total harmonic distortion is diminishing from 15% to 9.3% at lower values of 3rd, 5th and 7th harmonics. а) voltage and current of the grid b) harmonic analysis of the grid current c) power, power factor, cosφ Fig.8. Grid parameters for one converter – left figures and two parallel connected converters- right figures. In Fig.9 are presented the curves for some characteristic parameters. In case of two parallel connected converters the duration of the transient process during initial start is diminished as well as the pulsations of the output voltage. In case of one converter transient process duration is 50µs, and in case of two converters approcimately 25µs - Fig.9а. In case of one converter operation, pulsation magnitude is approximately 40V, and www.ijera.com 55|P a g e
  • 6. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 www.ijera.com in case of two converters – approximately 20V – Fig.9b. The measured load voltage is 455.5 V. The curves of Fig.9c present the current load of both converters as well as lack of fluctuations of the output voltage with frequency different of its pulsations frequency. The measurement shows current difference of not more than 2%. а) transient process at initial start for one converter-left figure and two converters-right figure b) output voltage pulsations for one converter-left figure and two converters-right figure c) both grid currents values- left figure and output voltage – СН1of two parallel connected converters – right figure Fig.9. Transient process curves, output voltage pulsations and input current measurement signals. www.ijera.com 56|P a g e
  • 7. Mihail H. Antchev et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 6), February 2014, pp.51-57 IV. Conclusion The results of this paper present good output currents sharing and improvement of the grid parameters. This is obtained only by the use of output isolation diodes. During their operation there is no synchronization and permanent phase shift, which are typical for the “interleaved converters”, as well as additional measures to equalize the currents by means of control systems. This means that the converters are independent and their parallel connection is easier. This paper completes the method of “output isolation diodes” regarding AC/DC converters with PFC, by obtaining better parameters of the grid. References [1] YHuang and CK Tce, Circuit Theoretic Classification of Parallel Connected DC-DC Converters, IEEE Trans. on CS, 54(5), 2007,1099-1108. [2] A Altowati, K Zenger and H Koivo, Modeling and Control design of Paralleled DC-DC Swiching Converters, Proc of Int. conf. of Communication, Computer and Power – ICCCP09, 2009, 231-236. [3] V Choudhary, E Ledezma, R Ayyanar and R M Button, Fault Tolerant Circuit Topology and Control Method for Input-Series and Output-Parralel Modular DC-DC Converters, IEEE Trans. on PE, 23(1), 2008, 402-411. [4] B Hyunsu, J Lee, J Yang and B H Cho, Digital Resistive Current (DRC) Control for the Parallel Interleaved DC-DC Converters, IEEE Trans. on PE, 23(5), 2008,2465-2476. [5] KAnthony, Current Share in Multiphase DCDC Converters Using Digital Filtering Techniques, IEEE Trans. on PE, 24(1), 2009, 212-220. [6] M Hong, L Yao, C Wang and IBatarseh, Analysis of Inductor Current Sharing in Nonisolated and Isolated Multiphase dc-dc Converters, IEEE Trans. on IE, 54(6), 2007, 3379-3388. [7] M K Sudip, M Tahir and K Acharya, Master-Slave Current-Sharing Control of a Parallel DC-DC Converter System Over an RF Communication Interface, IEEE Trans. on IE, 55(1), 2008,59-66. [8] J B Wang, Primary Droop Current-Sharing Control of the Parallel DC/DC Converters System Considering Output Cable Resistance, Anvances in Power Electronics, 2011,1 -13. [9] L Balosh, The UC3902 Load Share Controller and its Performance in Distributed Power Systems, (Unitrode Corp., AN U163,1999). www.ijera.com www.ijera.com [10] L Salati, L6615 Load Share Controller for N+1 Redundant, Hot-Swappable Application, (ST Microelectronics, AN1696, 2003). [11] STMicroelectronics, Current Sharing of the L4973 in a Multiphase Application, (AN 1126, Italy,1999). [12] C Wei, High Efficiency, High Density, Polyphase Converters for High Current Applications, (Linear Technology, AN77, September,1999). [13] Y Chen and K MSmedley, Parallel Operation of One-Cycle Controlled ThreePhase PFC Rectifiers, IEEE Trans. on IE, 54(6), 2007, 3217 - 3224. [14] S Kim and P NEnjeti, Control of Multiple Single-Phase PFC Modules With a Single Low-Cost DSP, IEEE Trans. on IA, 39(5), 2003, 1379 – 1385. [15] Texas Instruments, Interleaving Continuous Conduction Mode PFC Controller, AN SLUS 794E, 2011. [16] V Akin, M Bhardwaj and S Choudhury, An Integrated Implementation of Tho- Phase Interleaved PFC and Dual Motor Drive Using Single MCU with CLA.,IEEE Trans. on II, 9(4), 2013, 2082-2091. [17] Z Zhiliang, X Chuangang and Y F Liu, A Digital Adaptive Discontinuous Current Source Driver for High-Frequency Interleaved Boost PFC Converters, IEEE Trans.on PE, 29(3), 2014, 1298-1310. [18] C Marxgut, FKrismer, D Bortis and JKolar, Ultraflat Interleaved Triangular Current Mode (TCM) Single-Phase PFG Rectifier, IEEE Trans.on PE, 29(2), 2014, 873-882. [19] Kepco Company, Using Isolation Diodes for Parallel-redundant Operation, http://www.kepcopower.com/support/diodes. htm. [20] XPPower, Parallel & Series Operation, http://www.xppower.com/pdfs/Operation.pdf [21] Wall Industries, Parallel Operation of DC Power Modules, Appl. Note 3, Rev.A. www.wallindustries.com. [22] SGS-Thomson, Designing a high Power Factor Preregulator with the L4981 continuous mode, AN628/1297, 1997. 57|P a g e