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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 128
DESIGN AND DEVELOPMENT OF HIGH FREQUENCY RESONANT
TRANSITION CONVERTER
Parimala S.K1
, M.S.Aspalli2
, Laxmi.Deshpande3
1
Asst Professor, Dept of EEE, BNMIT, Bangalore, Karnataka, India.
2
Professor, Dept of EEE, PDACE, Gulbarga, Karnataka, India
3
Asst Professor, Dept of EEE, BNMIT, Bangalore, Karnataka, India.
Abstract
The demand for higher switching frequencies in order to achieve higher power conversion densities and efficiencies has made
resonant mode conversion [1] techniques to be used nowadays to improve pulse width modulated dc- dc converters which can
operate at higher switching frequencies upto 1 MHz. Since the parasitic elements that normally present in a power circuit can be very
significant at this frequency, most of the work is focused on resonant topologies. The topology [2] enables to advantageously employ
transformer leakage inductance, MOSFET output capacitance and the MOSFET body diode, to easily move their designs upwards in
frequency. The topology offers additional advantages like zero voltage switching at a constant switching frequency, which
substantially reduces switching losses. The ability to use higher switching frequency will ultimately reduce the overall size of the
power supply.
A resonant transition converter is selected for developing a compact 30W power supply. The switching frequency considered is 500
kHz for achieving the required power conversion density. At this switching frequency it is possible to take advantage of lead
inductances and parasitic capacitance of switching MOSFETs to either eliminate or substantially reduce the resonant tank elements
required for achieving a resonant transition conversion to improve efficiency.
Keywords: Resonant converters, Resonant transition converter, ZVS.
----------------------------------------------------------------------------***------------------------------------------------------------------------
1. INTRODUCTION
The pulse width modulated half bridge converter developed
belongs to the class of Resonant Transition Converter and offers
ZVS characteristics. Except for the resonant transitions, it is
identical to the square wave PWM converter topology. ZVS [3]
in Resonant Transition Converter is obtained relying mainly on
the parasitic components of power transformers and output
capacitance of the MOSFET Switches, which form the
resonating LC tank circuit that substantially reduces switching
losses during each transition, giving us low conduction losses
and constant frequency operation.
However, with conventional PWM technologies, the switching
losses also increase proportionately with the frequency of
operation. In order to realize the high power densities possible
with high switching frequencies, it is therefore essential to
reduce the switching losses by employing resonant switching
techniques. Therefore, focusing on the overall system
performance, its size, weight, efficiency and power conversion
density, Resonant Transition Converter topology was found to
be suitable to operate at high frequencies. Therefore the
topology is employed to develop a 30W, 500 KHz, DC-DC
Converter with multiple outputs for power requirements of an
advanced electronic power conditioner.
2. NEED FOR RESONANT CONVERTER
In all the pulse-width modulated DC-DC and DC-AC converter
topologies discussed earlier, the controllable switches are
operated in a switch mode where they are required to turn-on
and turn-off the entire load current during each switching. In
these switch-mode operations the switches are subjected to high
switching stresses and the finite duration of the switching
transitions will cause the high peak pulse power dissipation in
the device that will cause the degradation in converters
efficiency and worst of all will lead to the destruction of the
device. These converters are therefore termed as „Hard
Switching‟ converter topologies [5] where the switching losses
contribute to the major percentage of overall losses, as high
switching power loss increases linearly with the switching
frequency of the pulse-width modulation. Another significant
drawback of the switch-made operation is the electromagnetic
interference (EMI) produced due to large di/dt and dv/dt caused
by a switched-mode operation. These shortcomings of switch-
mode converters are exacerbated if the switching frequency is
increased in order to reduce the converter size and weight, and
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 129
hence to increase the power density. . Fig1 shows the switching
losses for a hard switching PWM converter and soft switching
resonant converter.
Fig.1 Switching Transition Losses in PWM and Resonant
Converters
Therefore to realize high switching frequencies in converters,
with the miniaturization trends in electronics, the
aforementioned shortcoming are minimized if each switch in the
converter changes its status (from On to OFF or vice versa)
when the voltage across it and/or the current through it is zero at
the switching instant. The converter topologies and the
switching strategies, which result in zero-voltage and/or in zero-
current switching, are called “Resonant Converter”. Since most
of these topologies (but not all) require some form of L-C
resonance, these are broadly classified as “Resonant
Converters”.
3. RESONANT TRANSITION CONVERTERS
The resonant transition converters are more recent family of soft
switching converters. They combine the low switching loss
characteristics of the resonant converters and the constant
frequency and low conduction loss characteristics of the PWM
converters. They are essentially square wave converters for
most of the part, except during the resonant transitions. The
resonant transition is achieved relying mainly on the parasitic
components like the magnetizing and the leakage inductance of
the transformer and the output capacitance of the MOSFET, and
by adopting suitable switching strategies. Fig 2 shows the
circuit configuration for resonant transition converter in half-
bridge.
The pulse width modulated half-bridge converter, which has
been chosen for the study and implementation for the work.
Belongs to the class of resonant transition converters Some of
the salient features of resonant transition converter are as
follows
Zero Voltage switching for all the switches in half-bridge
and full-bridge.
Constant Frequency Operation
Peak Voltage/Current stresses of the device are limited as
the voltage and currents are almost a square wave except for
resonant transition period.
Parasitic inductance of the transformer and the parasitic
capacitance of the MOSFET in the circuit may be used as the
resonant elements.
There is higher overall efficiency at given power level,
mainly due to the absence of switching losses at the power
switches and rectifiers. Lower loss in turn means smaller heat
sinks, hence reduction in size and weight of overall package.
4. DESIGN AND DEVELOPMENT
Resonant transition converter [3] relies mainly on the parasitic
elements of the transformer and the MOSFETs to achieve loss
less transition. Hence these elements have to be considered in
the analysis and design of the converter. Fig2 shows the
schematic of pulse width modulated converter used for analysis
and simulation. As may be seen, the circuit includes the
parasitic elements like the output capacitance (C1 and C2) of
the MOSFETs and the magnetizing (Lm) and leakage
inductance (Llk) of the transformer.
0
0
M1
M2
C2
D1
D2 D3
D4
Lf
Cf1 Cf2
Rload
A
B
Ipri
Vdc
C1'
C2'
R1'D1'
D2'
R2'
D1"
C1
+Vdc/2
+Vdc/2
Ipri
Io
INVERTER TRANSFORMER RECTIFIER LOADFILTER
n : 1
D2"
Fig 2 Resonant transition converter in half-bridge
Zero voltage switching demands that, before a MOSFET is
switched ON, its output capacitance will be completely
discharged. This discharge is accomplished by the energy stored
in the magnetizing and the leakage inductances. Therefore these
parameters are crucial for the ZVS view point and have to be
considered in the analysis.
Design specifications include:30W, multiple outputs of 18V and
±15V, volume of less then 1.5‟‟(W)*2.5‟‟(L)*1.2‟‟(H),
switching frequency of 500kHz, operable temperature limits -
40° to +80° and an input voltage of 220V DC. Transformer
ratings 135V/18V,15V, transformer leakage inductance of
10µH and additional inductance of 30µH. During simulation it
is seen that the primary current of 332mA (and 300mA
calculated) for the given full load was in- sufficient to discharge
the parasitic capacitance across the MOSFET, and hence
suddenly discharging through the MOSFET to be turned on
next. Thus achieving hard switching.[5] This is shown in fig.3.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 130
Hence the minimum current required to obtain ZVS or to
charge/discharge the capacitance is the important factor to be
considered. Moreover the leakage inductance of the transformer
around 10H was too low to provide the desired current to
charge/discharge the MOSFET capacitance to achieve zero
voltage transition.
Fig 3 Shows the primary current in sufficient to discharge the
parasitic capacitance and hence discharging through the
MOSFET achieving hard switching
0
Lex
Cex1
Cex2
M1
M2
D1
D2
Llk
C1'
C2'
Vdc
A B
E
Fig 4 schematic of the modified circuit to aid ZVS
In Fig 4,Lex is the external inductor added to aid ZVS
[7][8].The ideal design to restore ZVS is: Iex (peak) =
maximum current during turn off plus the minimum current
needed to discharge the capacitor across the switch coming into
the conduction and the charge the one across the switch tuning
off.
5. SIMULATION AND EXPERIMENTAL RESULTS
The designed is simulated using ORCAD 10.0. Simulation
results and experimental results are presented for the following
operating point
Input Voltage, VDC = 220V
Output Voltage, Vo = 18V, 15V
Output Power, Po = 30W
It is seen that both the results match to large extent. The
comparison is given in the following table. The experimental
and simulation results are tabulated as below.
Table1 Shows the voltages, currents and losses for M1& M2
Parameters Simulated Experimental
VM1 270V 268V
IM1 1.3A 1.32A
PM1 1.01W 2.13W
VM2 270V 268V
IM2 1.76A 1.41A
PM2 2.3W 3.6W
Table 2 Shows the input and output voltages and currents for
the converter
Parameters Simulated Experimental
Vbdg 135V 140V
Ibdg 400mA 500mA
Pbdg 38.18W 49W
Vo 16V 18.2V
Io 1.4A 1.5A
Po 22.4W 28W
The efficiency of the converter is found to be 82%. The
estimated power density value was 6W/cm3
and the
experimental value is 5W/cm3
.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 131
Fig5: Shows the gate voltage‟s Vg (M1) & Vg (M2) for the
M1&M2.The bridge voltage and current Vbdg and Ibdg for Vdc
=270V
Fig6: Shows the zero voltage switching at transition from ON
to OFF within the given Tdelay
Fig 7: Shows the switch voltage VDS and drain current ID for
M1&M2. It also shows the current through the diode Idiode
achieving zero voltage turn on.
Fig8: Shows current due to external inductor Iex and the bridge
voltage and current Vbdg , Ibdg .
Fig9: Shows the turn on and turn off losses for MOSFETs M1
and M2.Zero turn on losses and some finite turn off losses.
6. CONCLUTIONS
In switch mode power supplies employing hard switching the
controllable switches are subjected to high switching stress as
the switches have to turn on and turn off the entire load current
during switching. Soft switching would become necessary if
higher power conversion density is demanded by the
application. This is more important when the power device have
to switch large currents at high voltage levels. Soft switching is
only the option in future for operating at higher frequency and
minimum losses for the converter. The Zero Voltage Transition
Converter taken up for development has potential advantages
catering to many applications. The methodology gives zero
voltage switching, without compromising on the device stresses
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 132
or the conduction losses. Provides constant frequency operation
and possibility of achieving ZVS using the parasitic elements
alone The developed converter in ZVT topology exhibited the
low loss switching characteristics of the resonant converter.
REFERENCES
[1] Fred Lee, Kwang-Hwa Liu, “Zero Voltage Switching
Techniques in DC/DC Converter” IEEE Transactions on
Power Electronics, Vol 5, July 1990.
[2] A. Rajapandian, V. Ramanarayanan, “A Constant
Frequency Resonant Transition Converter:, Jourrnal
Indian Institute of Science, May-June, 1996, pp363-377.
[3] B.Swaminathan, V. Ramanarayanan, “A Novel
Resonant Transition Half Bridge Converter”, Indian
Institute of Sciences, Bangalore.
[4] David J. Hamo, “A 50W, 500kHz, Full bridge , Phase
Shift, ZVS isolated DC to DC converter using
HIP4081A”, Application note, Harris Semiconductor,
No. AN9506, April 1995.
[5] A. I. Pressman, “Switching Power Supply Design”,
McGraw Hill Inc, 2nd edition, 1998.
[6] “History and Develpoment of SMPS, PRE-1987”,
www.steve-w.discon.co.uk
[7] “Phase Shift Zero Zoltage Transition Design
Considerations and the UC3875 PWM controller”,
www.focus.ti.com
[8] “Zero Voltage Switching Resonant Converter”,
www.powerdesigners.com

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Design and development of high frequency resonant transition converter

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 128 DESIGN AND DEVELOPMENT OF HIGH FREQUENCY RESONANT TRANSITION CONVERTER Parimala S.K1 , M.S.Aspalli2 , Laxmi.Deshpande3 1 Asst Professor, Dept of EEE, BNMIT, Bangalore, Karnataka, India. 2 Professor, Dept of EEE, PDACE, Gulbarga, Karnataka, India 3 Asst Professor, Dept of EEE, BNMIT, Bangalore, Karnataka, India. Abstract The demand for higher switching frequencies in order to achieve higher power conversion densities and efficiencies has made resonant mode conversion [1] techniques to be used nowadays to improve pulse width modulated dc- dc converters which can operate at higher switching frequencies upto 1 MHz. Since the parasitic elements that normally present in a power circuit can be very significant at this frequency, most of the work is focused on resonant topologies. The topology [2] enables to advantageously employ transformer leakage inductance, MOSFET output capacitance and the MOSFET body diode, to easily move their designs upwards in frequency. The topology offers additional advantages like zero voltage switching at a constant switching frequency, which substantially reduces switching losses. The ability to use higher switching frequency will ultimately reduce the overall size of the power supply. A resonant transition converter is selected for developing a compact 30W power supply. The switching frequency considered is 500 kHz for achieving the required power conversion density. At this switching frequency it is possible to take advantage of lead inductances and parasitic capacitance of switching MOSFETs to either eliminate or substantially reduce the resonant tank elements required for achieving a resonant transition conversion to improve efficiency. Keywords: Resonant converters, Resonant transition converter, ZVS. ----------------------------------------------------------------------------***------------------------------------------------------------------------ 1. INTRODUCTION The pulse width modulated half bridge converter developed belongs to the class of Resonant Transition Converter and offers ZVS characteristics. Except for the resonant transitions, it is identical to the square wave PWM converter topology. ZVS [3] in Resonant Transition Converter is obtained relying mainly on the parasitic components of power transformers and output capacitance of the MOSFET Switches, which form the resonating LC tank circuit that substantially reduces switching losses during each transition, giving us low conduction losses and constant frequency operation. However, with conventional PWM technologies, the switching losses also increase proportionately with the frequency of operation. In order to realize the high power densities possible with high switching frequencies, it is therefore essential to reduce the switching losses by employing resonant switching techniques. Therefore, focusing on the overall system performance, its size, weight, efficiency and power conversion density, Resonant Transition Converter topology was found to be suitable to operate at high frequencies. Therefore the topology is employed to develop a 30W, 500 KHz, DC-DC Converter with multiple outputs for power requirements of an advanced electronic power conditioner. 2. NEED FOR RESONANT CONVERTER In all the pulse-width modulated DC-DC and DC-AC converter topologies discussed earlier, the controllable switches are operated in a switch mode where they are required to turn-on and turn-off the entire load current during each switching. In these switch-mode operations the switches are subjected to high switching stresses and the finite duration of the switching transitions will cause the high peak pulse power dissipation in the device that will cause the degradation in converters efficiency and worst of all will lead to the destruction of the device. These converters are therefore termed as „Hard Switching‟ converter topologies [5] where the switching losses contribute to the major percentage of overall losses, as high switching power loss increases linearly with the switching frequency of the pulse-width modulation. Another significant drawback of the switch-made operation is the electromagnetic interference (EMI) produced due to large di/dt and dv/dt caused by a switched-mode operation. These shortcomings of switch- mode converters are exacerbated if the switching frequency is increased in order to reduce the converter size and weight, and
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 129 hence to increase the power density. . Fig1 shows the switching losses for a hard switching PWM converter and soft switching resonant converter. Fig.1 Switching Transition Losses in PWM and Resonant Converters Therefore to realize high switching frequencies in converters, with the miniaturization trends in electronics, the aforementioned shortcoming are minimized if each switch in the converter changes its status (from On to OFF or vice versa) when the voltage across it and/or the current through it is zero at the switching instant. The converter topologies and the switching strategies, which result in zero-voltage and/or in zero- current switching, are called “Resonant Converter”. Since most of these topologies (but not all) require some form of L-C resonance, these are broadly classified as “Resonant Converters”. 3. RESONANT TRANSITION CONVERTERS The resonant transition converters are more recent family of soft switching converters. They combine the low switching loss characteristics of the resonant converters and the constant frequency and low conduction loss characteristics of the PWM converters. They are essentially square wave converters for most of the part, except during the resonant transitions. The resonant transition is achieved relying mainly on the parasitic components like the magnetizing and the leakage inductance of the transformer and the output capacitance of the MOSFET, and by adopting suitable switching strategies. Fig 2 shows the circuit configuration for resonant transition converter in half- bridge. The pulse width modulated half-bridge converter, which has been chosen for the study and implementation for the work. Belongs to the class of resonant transition converters Some of the salient features of resonant transition converter are as follows Zero Voltage switching for all the switches in half-bridge and full-bridge. Constant Frequency Operation Peak Voltage/Current stresses of the device are limited as the voltage and currents are almost a square wave except for resonant transition period. Parasitic inductance of the transformer and the parasitic capacitance of the MOSFET in the circuit may be used as the resonant elements. There is higher overall efficiency at given power level, mainly due to the absence of switching losses at the power switches and rectifiers. Lower loss in turn means smaller heat sinks, hence reduction in size and weight of overall package. 4. DESIGN AND DEVELOPMENT Resonant transition converter [3] relies mainly on the parasitic elements of the transformer and the MOSFETs to achieve loss less transition. Hence these elements have to be considered in the analysis and design of the converter. Fig2 shows the schematic of pulse width modulated converter used for analysis and simulation. As may be seen, the circuit includes the parasitic elements like the output capacitance (C1 and C2) of the MOSFETs and the magnetizing (Lm) and leakage inductance (Llk) of the transformer. 0 0 M1 M2 C2 D1 D2 D3 D4 Lf Cf1 Cf2 Rload A B Ipri Vdc C1' C2' R1'D1' D2' R2' D1" C1 +Vdc/2 +Vdc/2 Ipri Io INVERTER TRANSFORMER RECTIFIER LOADFILTER n : 1 D2" Fig 2 Resonant transition converter in half-bridge Zero voltage switching demands that, before a MOSFET is switched ON, its output capacitance will be completely discharged. This discharge is accomplished by the energy stored in the magnetizing and the leakage inductances. Therefore these parameters are crucial for the ZVS view point and have to be considered in the analysis. Design specifications include:30W, multiple outputs of 18V and ±15V, volume of less then 1.5‟‟(W)*2.5‟‟(L)*1.2‟‟(H), switching frequency of 500kHz, operable temperature limits - 40° to +80° and an input voltage of 220V DC. Transformer ratings 135V/18V,15V, transformer leakage inductance of 10µH and additional inductance of 30µH. During simulation it is seen that the primary current of 332mA (and 300mA calculated) for the given full load was in- sufficient to discharge the parasitic capacitance across the MOSFET, and hence suddenly discharging through the MOSFET to be turned on next. Thus achieving hard switching.[5] This is shown in fig.3.
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 130 Hence the minimum current required to obtain ZVS or to charge/discharge the capacitance is the important factor to be considered. Moreover the leakage inductance of the transformer around 10H was too low to provide the desired current to charge/discharge the MOSFET capacitance to achieve zero voltage transition. Fig 3 Shows the primary current in sufficient to discharge the parasitic capacitance and hence discharging through the MOSFET achieving hard switching 0 Lex Cex1 Cex2 M1 M2 D1 D2 Llk C1' C2' Vdc A B E Fig 4 schematic of the modified circuit to aid ZVS In Fig 4,Lex is the external inductor added to aid ZVS [7][8].The ideal design to restore ZVS is: Iex (peak) = maximum current during turn off plus the minimum current needed to discharge the capacitor across the switch coming into the conduction and the charge the one across the switch tuning off. 5. SIMULATION AND EXPERIMENTAL RESULTS The designed is simulated using ORCAD 10.0. Simulation results and experimental results are presented for the following operating point Input Voltage, VDC = 220V Output Voltage, Vo = 18V, 15V Output Power, Po = 30W It is seen that both the results match to large extent. The comparison is given in the following table. The experimental and simulation results are tabulated as below. Table1 Shows the voltages, currents and losses for M1& M2 Parameters Simulated Experimental VM1 270V 268V IM1 1.3A 1.32A PM1 1.01W 2.13W VM2 270V 268V IM2 1.76A 1.41A PM2 2.3W 3.6W Table 2 Shows the input and output voltages and currents for the converter Parameters Simulated Experimental Vbdg 135V 140V Ibdg 400mA 500mA Pbdg 38.18W 49W Vo 16V 18.2V Io 1.4A 1.5A Po 22.4W 28W The efficiency of the converter is found to be 82%. The estimated power density value was 6W/cm3 and the experimental value is 5W/cm3 .
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 131 Fig5: Shows the gate voltage‟s Vg (M1) & Vg (M2) for the M1&M2.The bridge voltage and current Vbdg and Ibdg for Vdc =270V Fig6: Shows the zero voltage switching at transition from ON to OFF within the given Tdelay Fig 7: Shows the switch voltage VDS and drain current ID for M1&M2. It also shows the current through the diode Idiode achieving zero voltage turn on. Fig8: Shows current due to external inductor Iex and the bridge voltage and current Vbdg , Ibdg . Fig9: Shows the turn on and turn off losses for MOSFETs M1 and M2.Zero turn on losses and some finite turn off losses. 6. CONCLUTIONS In switch mode power supplies employing hard switching the controllable switches are subjected to high switching stress as the switches have to turn on and turn off the entire load current during switching. Soft switching would become necessary if higher power conversion density is demanded by the application. This is more important when the power device have to switch large currents at high voltage levels. Soft switching is only the option in future for operating at higher frequency and minimum losses for the converter. The Zero Voltage Transition Converter taken up for development has potential advantages catering to many applications. The methodology gives zero voltage switching, without compromising on the device stresses
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 132 or the conduction losses. Provides constant frequency operation and possibility of achieving ZVS using the parasitic elements alone The developed converter in ZVT topology exhibited the low loss switching characteristics of the resonant converter. REFERENCES [1] Fred Lee, Kwang-Hwa Liu, “Zero Voltage Switching Techniques in DC/DC Converter” IEEE Transactions on Power Electronics, Vol 5, July 1990. [2] A. Rajapandian, V. Ramanarayanan, “A Constant Frequency Resonant Transition Converter:, Jourrnal Indian Institute of Science, May-June, 1996, pp363-377. [3] B.Swaminathan, V. Ramanarayanan, “A Novel Resonant Transition Half Bridge Converter”, Indian Institute of Sciences, Bangalore. [4] David J. Hamo, “A 50W, 500kHz, Full bridge , Phase Shift, ZVS isolated DC to DC converter using HIP4081A”, Application note, Harris Semiconductor, No. AN9506, April 1995. [5] A. I. Pressman, “Switching Power Supply Design”, McGraw Hill Inc, 2nd edition, 1998. [6] “History and Develpoment of SMPS, PRE-1987”, www.steve-w.discon.co.uk [7] “Phase Shift Zero Zoltage Transition Design Considerations and the UC3875 PWM controller”, www.focus.ti.com [8] “Zero Voltage Switching Resonant Converter”, www.powerdesigners.com