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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 6, No. 2, June 2015, pp. 242~252
ISSN: 2088-8694  242
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
An Efficient High Gain DC-DC Converter for Automotive
Applications
Aiswarya T.M, M. Prabhakar
School of Electrical Engineering, VIT University, Chennai Campus, Chennai, India. 600127
Article Info ABSTRACT
Article history:
Received Dec 17, 2014
Revised Mar 13, 2015
Accepted Apr 2, 2015
This paper presents a high gain DC-DC converter which uses a clamp circuit
to achieve soft switching. The proposed converter is designed to supply a
high intensity discharge (HID) lamp used in automobile head lamps. The
converter operates from a 12V input supply and provides an output voltage
of 120V at 35W output power. A clamp circuit consisting of a clamp
capacitor, clamp switch and resonant inductor will help to achieve zero
voltage switching (ZVS) of the both main and clamp switches. The practical
performance of the converter was validated through experimental results.
Results obtained from the prototype hardware prove that the converter meets
the requirements of HID lamp application and can be a very good alternative
to existing converters.
Keyword:
Automotive Applications
Clamp circuit
DC-DC converter
HID lamps
High gain Copyright © 2015 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
M. Prabhakar,
Associate Professor, School of Electrical Engineering,
VIT University, Chennai Campus,
Vandalur-Kelambakkam Road, Chennai, India 600127.
Email: prabhakar.m@vit.ac.in
1. INTRODUCTION
The high gain boost converter has become essential in all present day applications such as
automobile applications, photovoltaic systems, medical equipments and UPS systems. In all such
applications, a DC-DC converter with voltage gain equal to or greater than 10 is essential. The classical boost
converter fails to provide a voltage gain of 10 because of the limited duty ratio. Increased duty ratio leads to
high reverse recovery problems, high switching stress resulting in reduced efficiency and increased
electromagnetic interference (EMI) [1]. Other alternative topologies for obtaining high voltage ratio include
flyback converters, coupled inductor (CI) based topologies, switched capacitor and other boost derived
topologies. Flyback converters are capable of providing high gain but presence of winding leakage
inductance leads to higher component current stress as depicted in [2].
In coupled inductor based topologies, high gain is obtained by varying the number of turns in the
coupled inductor. This reduces the switching stress and eliminates the reverse recovery problem also as
demonstrated in [3]. However, the use of a coupled inductor leads to voltage ringing across the switch due to
the leakage inductance and the stray capacitance. Therefore, it becomes necessary to use a snubber circuit or
a switch with relative high ON state resistance (RDS,ON). Consequently, this results in degraded converter
efficiency.
In [4] and [5], a converter topology which used the active clamp circuit to effectively recycle the
stored energy present in the coupled inductor was proposed. Further, the stored energy in the stray inductance
can be absorbed by using a coupled inductor with a passive regenerative snubber as claimed in [6]. A coupled
inductor based topology which used multi-winding and a voltage doubler circuit was presented in [7]. The
topology proposed in [8] used a coupled inductor with appropriate turns ration to obtain high conversion
ratio. This topology integrated a flyback arrangement and a step-up converter. The topologies incorporating
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252
243
the coupled inductor or flyback transformer do not provide the required high gain at high output power
ratings. This is mainly due to the limited capacity of magnetic core which has to be substantially increased
based on the incremental output power.
For low power applications, high step-up converter based on the switched-capacitor circuit is
preferred. Since inductors are not used, the switched capacitor converter helps to achieve high power density
as proposed in [9]-[11]. However, regulating the output voltage results in reduced efficiency. By integrating
the switch capacitor with boost converter, higher conversion ratios at better efficiencies are possible.
However, such topologies require more number of components as presented in [12]. Topologies proposed in
[13] and [14] use only a single switch. These topologies were developed using switched capacitor and
switched inductor hybrid circuit. These circuits possess reduced switch and diode voltage stress. Further, by
adding voltage multiplier capacitor stages, the voltage gain at a given duty ratio can be increased.
Cascading of boost converter also can provide high gain even under normal duty ratio as described
in [15]-[17]. However, the switch voltage stress will be extremely high. Further, the switching frequency and
operating efficiency is limited due to hard switching. In order to avoid this, soft switching, using an active
clamp circuit, can be employed as proposed in [18] and [19].
A soft switched high gain DC-DC converter is presented in this paper. The proposed converter
consists of two boost stages that use a single power switch and an auxiliary switch. The active clamp circuit
is used to realise soft switching of both the main and auxiliary switches Q and Qa respectively. This
arrangement reduces the switching stress and increases the converter’s operating efficiency. The circuit
configuration, operating modes, analysis details, design methodology and experimental results are discussed
in the subsequent sections.
2. CIRCUIT DESCRIPTION
The conventional boost converter cannot provide high gain due to limitations of duty cycle and
reverse recovery problems. One method to obtain high gain without increasing the duty ratio is to connect
two boost stages in cascade configuration as shown in Figure 1. To reduce the complexity of the two-stage
boost converter, the power switches Q1 and Q2 in Figure 1 can be reduced to single power switch Q as shown
in Figure 2. The power switch Q operates in hard switching causing high switching stress. To achieve soft
switching of the switch, an active clamp circuit comprising of an auxiliary switch Qa, clamp capacitor CC and
resonant inductor Lr in added as shown in Figure 3.
Figure 1. Two-stage boost converter
Figure 2. Two-stage boost converter with single switch
IJPEDS ISSN: 2088-8694 
An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar)
244
Figure 3. Proposed high gain soft switched boost converter
In this soft switched topology, circuit components L1, D1, D2, C1 and Q act as the first stage of the
boost converter and provides a voltage conversion ratio of
1
1
(1)
where D is the duty ratio of Q. The second stage boost converter consisting of components C1, L2, Q2, D3 and
Co and voltage conversion ratio is
1
1
	 (2)
Thus, the effective conversion ratio of the cascaded boost converter is obtained as
1
1
(3)
3. CIRCUIT OPERATION
The operating modes of the proposed converter are elaborated by assuming that (i) the value of the
inductor L1 and L2 are greater than Lr, (ii) the resonant inductor stores more energy than the resonant
capacitor Cr to achieve soft switching and (iii) the capacitance of C1, Cc and Co are large enough so that
voltage across them are constant. There are eight modes of operation for proposed converter as detailed
below.
Mode 1 (t0 < t < t1): In this mode, the main switch Q is turned ON and auxiliary switch Qa remains in OFF
state. The diode D2 is conducting while diodes D1 and D3 are OFF. The output capacitor Co discharges
through the load. Since L1 and L2 is greater than Lr, inductor currents iL1 and iL2 increase and are given by
≅ (4)
≅ (5)
where D is the duty ratio of the main switch Q and T is time period. This mode ends by the main switch Q is
turned OFF at time t1.
Mode 2 (t1 < t < t2): The main switch Q is turned OFF. Positive inductor current of iLr now charges the
capacitor Cr from 0 to VC1-VLr ≈ VC1 since L1 and L2 are greater than Lr. The capacitor voltage VCr < VC1, the
diodes D1 and D3 are reversed biased while diode D2 is still conducting. When VCr = VC1, diode D1 is forward
biased as the voltage across the diode D1 and C1 is same VC1.Thus, at time t2, this mode ends when D1 is
turned ON.
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252
245
Mode 3 (t2 < t < t3): In this mode, the diodes D1 and D2 are conducting with diode current iD1 increasing and
iD2 decreasing. This mode ends at time t3 when VCr = VCC which causes the anti-parallel body diode of Qa to
become forward biased.
Mode 4 (t3 < t < t4): This mode begins when the anti-parallel diode of Qa becomes forward biased. Now the
resonant inductor current iLr will flow through the anti-parallel diode Qa to ground. Therefore, the drain to
source voltage is zero for Qa. The switch Qa is now turned ON, thus achieving ZVS during this interval. This
mode comes to an end at time t4 when diode current iD2 becomes zero and the diode D2 is reversed biased
while diode D3 is turned ON.
Mode 5 (t4 < t < t5): This mode commences at time t4. At this time interval, D2 is reverse biased while D3 is
turned ON. The inductor currents iL1, iL2 and the resonant inductor current iLr decrease from positive to
negative magnitude. The switch Qa should be turned OFF before iLr becomes negative to achieve ZVS.
Therefore, switch Qa is turned OFF at time t5 which marks the end of this mode.
Mode 6 (t5 < t < t6): In this mode, the resonant inductor current iLr is negative and the switch Qa is turned OFF
while diode D3 still conducts. Since iLr is negative, it is understood that the voltage across capacitor Cr
discharges. Hence, the capacitor voltage VCr starts to decreases from VCc. ZVS operation of the main switch
is ensured since the capacitor voltage VCr becomes zero and forward biases the anti-parallel diode. This mode
ends when VCr = 0 at time t6.
Mode 7 (t6 < t < t7): In this mode, capacitor voltage VCr=0 due to which the anti-parallel diode is forward
biased. The inductor current iLr increases towards positive value from a negative value. The main switch Q is
turned ON at ZVS interval. The diode D1 and D3 are still conducting. By the end of this mode, at time t7, the
output diode D3 is turned OFF and the diode D2 is forward biased.
Mode 8 (t7 < t < t8): In this mode, the diode D3 is turned OFF. The diodes D1 and D2 are in commutation
interval. The voltage across capacitor C1 will be same as the induced voltage drop across the resonant
inductor. This causes the inductor current iLr to increase. This mode ends when diode D1 is turned OFF with
iD1=0 and marks the commencement of the next cycle. Figure 4 shows the characteristic waveform of the
considered converter and Figure 5 shows the equivalent circuit diagrams during various operating modes.
4. ANALYSIS OF THE PRESENTED CONVERTER
The steady state analysis of the circuit is used to derive important characteristic equations like
voltage gain and device stress. By volt-second balance principle applied across the inductors L1 and inductor
L2, without considering the duty cycle loss in each mode, the steady state voltage gain equation can be
derived.
When the switch Q remains in ON state, the voltage across the inductor L1 is equal to the supply
voltage Vin. When the switch Q is OFF, the voltage across L1 will be VL1=Vin-VC1. Now, by applying volt-
second balance, we get
1 0 (6)
Rearranging equation (6), we get
1
1
(7)
When the switch Q is ON, the voltage across the inductor L2 will be same as the voltage across capacitor C1.
When the switch Q is tuned OFF, the voltage across the inductor is given by
(8)
Applying volt-second balance across inductor L2 gives
1 0 (9)
Rearranging equation (9), we get
1
1
(10)
IJPEDS ISSN: 2088-8694 
An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar)
246
Combining the equations (7) and (10), the overall conversion ratio of the proposed converter is derived as
1
1
(11)
Figure 4. Characteristic waveforms of the presented converter
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252
247
(a) mode 1 (e) Mode 5
(b) mode 2 (f) Mode 6
(c) Mode 3 (g) Mode 7
(d) mode 4 (h) Mode 8
Figure 5. Equivalent for various operating modes
 
5. DESIGN SPECIFICATIONS
The reactive elements (L1, L2 and CC) and the maximum duty cycle of the proposed converter can be
designed from equation (11) as
1
,
		 (12)
IJPEDS ISSN: 2088-8694 
An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar)
248
Based on the specified inductor ripple current ΔiL1 and ΔiL2 values, the inductance values are
derived as
∆
	 (13)
∆ 1
	 (14)
For successful soft switching of the main and auxiliary switches, the energy stored in the resonant
inductor Lr should be greater than energy stored in resonant capacitor Cr. The expression relating this
condition is derived by considering the operating modes and is given by
(15)
The gating time delay between the main and the auxiliary switch is given by
2
(16)
From the known Cr value, the value of the Lr can be calculated using equation (14) as
≅
4
	 (17)
The value of clamp capacitance is derived from the expression
≫
1
(18)
6. EXPERIMENTAL RESULTS
The adopted converter was fabricated in the laboratory and operated from an input voltage of 12V,
provided an output voltage of 120V at 50kHz switching frequency and delivered an output power 35W. The
values of inductors L1 and L2 were computed and designed to be 471µH and 4mH respectively. The
switching frequency was maintained same as the resonant frequency. Therefore, the value of resonant
inductor was designed to be 4.7µH for a resonant capacitor with value 4.7µF/160V. The values of clamp and
output capacitors were designed as 1nF/160V and 100µF/160V respectively. The gate pulses were obtained
by suitably programming PIC18F45k20 flash microcontroller. The power devices used were IRFP250 and all
the diodes were MUR460 fast recovery power diodes. The experiment was carried out with a resistive load
which was adjusted to draw the required power at the rated voltage condition.
Figure 6 shows the gate pulse of the main switch, auxiliary switch and the output voltage. It is
observed that the gate pulses are provided with the desired duty cycle and are complimentary to each other.
The average output voltage obtained from the converter is 106V which is very close to the designed value.
The reduction in output voltage is due to incremental voltage drop across the inductor and the switches. This
drop could be compensated by suitably adjusting the duty cycle.
Figure 7 shows the gate pulses applied to main switch Q, auxiliary switch Qa, the voltage stress
across the switch Q and the output voltage. It is clear that the main switch experiences a voltage stress which
is close to the output voltage.
Figure 8 shows the gate pulses applied to the switches and the voltage stress experienced by them.
The switch duty cycle, operating frequency, proper turn ON and turn OFF of both the switches and the
complimentary behaviour of the switches can be confirmed. Further, it is clear that the switch voltage stress
is close to the output voltage. It is interesting to notice that the voltage across the switch exhibits ringing
since snubber circuits were not used.
Figure 9 shows the measured waveform of gate pulse, voltage stress and current stress of the switch
Q. The magnitude of the switch current is in accordance with the expected value. The zero voltage switching
(ZVS) of the main switch Q is shown in Figure 10. Before the switch is turned ON, the switch current is
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252
249
negative and voltage across the switch is reduced to zero. This confirms the proper operation of the soft
switching circuit which was added to the cascaded boost converter. Figure 11 shows the photograph of the
implemented converter.
Figure 6. Gate pulse of main switch Q, auxiliary Qa and output voltage
Figure 7. Gate pulses of Q and Qa, voltage stress of Q and output voltage
IJPEDS ISSN: 2088-8694 
An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar)
250
Figure 8. Gate pulses and voltage stresses of switches Q and Qa
Figure 9. Gate pulse, voltage across switch Q and current through the main switch Q
 ISSN: 2088-8694
IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252
251
Figure 11. Zero Voltage Switching (ZVS) of main switch Q
Figure 12. Photograph of the implemented converter
7. CONCLUSION
This paper presented the analysis, design and experimental verification of a soft switched DC-DC
converter, which was designed for automotive HID lamp application. The converter provided the required
voltage gain at the designed power level. Experimental results prove the validity of the design. The main
desirable features of this converter are (i) its ability to operate under soft switching condition (ii) reduced
device stress and (iii) high voltage gain at lower duty ratio. By proper choice of inductor and switches, the
required voltage gain can precisely be achieved.
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[3] Wai Rong-Jong, Duan Rou-Yong Duan. High Step-Up Converter with Coupled Inductor. IEEE Transanctions on
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252
[4] Qun Zhao, Fred C.Lee. High Efficiency High Step Up DC-DC Converter. IEEE Transactions on Power
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[7] Qun Zhao and Fred C.Lee. High Efficiency High Step Up DC-DC Converter. IEEE Transactions on Power
Electronics. 2003; 18(1): 65-73.
[8] Mak On-Cheong, Wong Yue-Chung, and Ioinovici Adrian. Step-up DC Power Supply Based on a Switched-
Capacitor Circuit. IEEE Transactions on Industrial Electronics. 1995; 42(1): 90-97.
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Component Rating and Count. IEEE Transactions on Industry Application. 2012; 48(4): 139-1406.
[10] Oded Abutbul, Amir Gherlitz, Yefim Berkovich, and Adrian Ioinovici. Step-Up Switching-Mode Converter With
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[11] Vu Tran and Mufeed MahD. Modeling and Analysis of Transformerless High Gain Buck-boost DC-DC Converters.
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Electronics and Drives Systems (IJPEDS). 2013; 3(4): 365-373.
[18] Ivanovic B. and Stojikovic, Z. A Novel Active Soft Switching Snubber Designed for Boost Converter. IEEE
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BIOGRAPHIES OF AUTHORS
Aiswarya T.M. received B.Tech in Electrical and Electronics Engineering from Calicut
University, Calicut, India in 2012. She received M.Tech in Power Electronics and Drives from
VIT University, Chennai, India in 2014. Her areas of interest include Power Converter Circuits,
High Gain DC-DC Converters and Automotive Applications.
M. Prabhakar received the B.E. degree in Electrical and Electronics Engineering from
University of Madras, Madras, India in 1998, the M.E. Degree in Power Electronics and Drives
from Bharathidasan University, Tiruchirapalli, India in 1998 and Ph.D. degree in Electrical
Engineering from Anna University, Chennai, in 2012. He has more than 14 years of teaching
experience at UG and PG level. He is currently an Associate Professor in the School of Electrical
Engineering, VIT University, Chennai, India. He is a reviewer for various international journals
like IEEE Transactions on Power Electronics, International Journal of Electronics and
International Journal of Engineering. His areas of interest include DC-DC Converters, Resonant
Converters and Power Converter Circuits.

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An Efficient High Gain DC-DC Converter for Automotive Applications

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 6, No. 2, June 2015, pp. 242~252 ISSN: 2088-8694  242 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS An Efficient High Gain DC-DC Converter for Automotive Applications Aiswarya T.M, M. Prabhakar School of Electrical Engineering, VIT University, Chennai Campus, Chennai, India. 600127 Article Info ABSTRACT Article history: Received Dec 17, 2014 Revised Mar 13, 2015 Accepted Apr 2, 2015 This paper presents a high gain DC-DC converter which uses a clamp circuit to achieve soft switching. The proposed converter is designed to supply a high intensity discharge (HID) lamp used in automobile head lamps. The converter operates from a 12V input supply and provides an output voltage of 120V at 35W output power. A clamp circuit consisting of a clamp capacitor, clamp switch and resonant inductor will help to achieve zero voltage switching (ZVS) of the both main and clamp switches. The practical performance of the converter was validated through experimental results. Results obtained from the prototype hardware prove that the converter meets the requirements of HID lamp application and can be a very good alternative to existing converters. Keyword: Automotive Applications Clamp circuit DC-DC converter HID lamps High gain Copyright © 2015 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: M. Prabhakar, Associate Professor, School of Electrical Engineering, VIT University, Chennai Campus, Vandalur-Kelambakkam Road, Chennai, India 600127. Email: prabhakar.m@vit.ac.in 1. INTRODUCTION The high gain boost converter has become essential in all present day applications such as automobile applications, photovoltaic systems, medical equipments and UPS systems. In all such applications, a DC-DC converter with voltage gain equal to or greater than 10 is essential. The classical boost converter fails to provide a voltage gain of 10 because of the limited duty ratio. Increased duty ratio leads to high reverse recovery problems, high switching stress resulting in reduced efficiency and increased electromagnetic interference (EMI) [1]. Other alternative topologies for obtaining high voltage ratio include flyback converters, coupled inductor (CI) based topologies, switched capacitor and other boost derived topologies. Flyback converters are capable of providing high gain but presence of winding leakage inductance leads to higher component current stress as depicted in [2]. In coupled inductor based topologies, high gain is obtained by varying the number of turns in the coupled inductor. This reduces the switching stress and eliminates the reverse recovery problem also as demonstrated in [3]. However, the use of a coupled inductor leads to voltage ringing across the switch due to the leakage inductance and the stray capacitance. Therefore, it becomes necessary to use a snubber circuit or a switch with relative high ON state resistance (RDS,ON). Consequently, this results in degraded converter efficiency. In [4] and [5], a converter topology which used the active clamp circuit to effectively recycle the stored energy present in the coupled inductor was proposed. Further, the stored energy in the stray inductance can be absorbed by using a coupled inductor with a passive regenerative snubber as claimed in [6]. A coupled inductor based topology which used multi-winding and a voltage doubler circuit was presented in [7]. The topology proposed in [8] used a coupled inductor with appropriate turns ration to obtain high conversion ratio. This topology integrated a flyback arrangement and a step-up converter. The topologies incorporating
  • 2.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252 243 the coupled inductor or flyback transformer do not provide the required high gain at high output power ratings. This is mainly due to the limited capacity of magnetic core which has to be substantially increased based on the incremental output power. For low power applications, high step-up converter based on the switched-capacitor circuit is preferred. Since inductors are not used, the switched capacitor converter helps to achieve high power density as proposed in [9]-[11]. However, regulating the output voltage results in reduced efficiency. By integrating the switch capacitor with boost converter, higher conversion ratios at better efficiencies are possible. However, such topologies require more number of components as presented in [12]. Topologies proposed in [13] and [14] use only a single switch. These topologies were developed using switched capacitor and switched inductor hybrid circuit. These circuits possess reduced switch and diode voltage stress. Further, by adding voltage multiplier capacitor stages, the voltage gain at a given duty ratio can be increased. Cascading of boost converter also can provide high gain even under normal duty ratio as described in [15]-[17]. However, the switch voltage stress will be extremely high. Further, the switching frequency and operating efficiency is limited due to hard switching. In order to avoid this, soft switching, using an active clamp circuit, can be employed as proposed in [18] and [19]. A soft switched high gain DC-DC converter is presented in this paper. The proposed converter consists of two boost stages that use a single power switch and an auxiliary switch. The active clamp circuit is used to realise soft switching of both the main and auxiliary switches Q and Qa respectively. This arrangement reduces the switching stress and increases the converter’s operating efficiency. The circuit configuration, operating modes, analysis details, design methodology and experimental results are discussed in the subsequent sections. 2. CIRCUIT DESCRIPTION The conventional boost converter cannot provide high gain due to limitations of duty cycle and reverse recovery problems. One method to obtain high gain without increasing the duty ratio is to connect two boost stages in cascade configuration as shown in Figure 1. To reduce the complexity of the two-stage boost converter, the power switches Q1 and Q2 in Figure 1 can be reduced to single power switch Q as shown in Figure 2. The power switch Q operates in hard switching causing high switching stress. To achieve soft switching of the switch, an active clamp circuit comprising of an auxiliary switch Qa, clamp capacitor CC and resonant inductor Lr in added as shown in Figure 3. Figure 1. Two-stage boost converter Figure 2. Two-stage boost converter with single switch
  • 3. IJPEDS ISSN: 2088-8694  An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar) 244 Figure 3. Proposed high gain soft switched boost converter In this soft switched topology, circuit components L1, D1, D2, C1 and Q act as the first stage of the boost converter and provides a voltage conversion ratio of 1 1 (1) where D is the duty ratio of Q. The second stage boost converter consisting of components C1, L2, Q2, D3 and Co and voltage conversion ratio is 1 1 (2) Thus, the effective conversion ratio of the cascaded boost converter is obtained as 1 1 (3) 3. CIRCUIT OPERATION The operating modes of the proposed converter are elaborated by assuming that (i) the value of the inductor L1 and L2 are greater than Lr, (ii) the resonant inductor stores more energy than the resonant capacitor Cr to achieve soft switching and (iii) the capacitance of C1, Cc and Co are large enough so that voltage across them are constant. There are eight modes of operation for proposed converter as detailed below. Mode 1 (t0 < t < t1): In this mode, the main switch Q is turned ON and auxiliary switch Qa remains in OFF state. The diode D2 is conducting while diodes D1 and D3 are OFF. The output capacitor Co discharges through the load. Since L1 and L2 is greater than Lr, inductor currents iL1 and iL2 increase and are given by ≅ (4) ≅ (5) where D is the duty ratio of the main switch Q and T is time period. This mode ends by the main switch Q is turned OFF at time t1. Mode 2 (t1 < t < t2): The main switch Q is turned OFF. Positive inductor current of iLr now charges the capacitor Cr from 0 to VC1-VLr ≈ VC1 since L1 and L2 are greater than Lr. The capacitor voltage VCr < VC1, the diodes D1 and D3 are reversed biased while diode D2 is still conducting. When VCr = VC1, diode D1 is forward biased as the voltage across the diode D1 and C1 is same VC1.Thus, at time t2, this mode ends when D1 is turned ON.
  • 4.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252 245 Mode 3 (t2 < t < t3): In this mode, the diodes D1 and D2 are conducting with diode current iD1 increasing and iD2 decreasing. This mode ends at time t3 when VCr = VCC which causes the anti-parallel body diode of Qa to become forward biased. Mode 4 (t3 < t < t4): This mode begins when the anti-parallel diode of Qa becomes forward biased. Now the resonant inductor current iLr will flow through the anti-parallel diode Qa to ground. Therefore, the drain to source voltage is zero for Qa. The switch Qa is now turned ON, thus achieving ZVS during this interval. This mode comes to an end at time t4 when diode current iD2 becomes zero and the diode D2 is reversed biased while diode D3 is turned ON. Mode 5 (t4 < t < t5): This mode commences at time t4. At this time interval, D2 is reverse biased while D3 is turned ON. The inductor currents iL1, iL2 and the resonant inductor current iLr decrease from positive to negative magnitude. The switch Qa should be turned OFF before iLr becomes negative to achieve ZVS. Therefore, switch Qa is turned OFF at time t5 which marks the end of this mode. Mode 6 (t5 < t < t6): In this mode, the resonant inductor current iLr is negative and the switch Qa is turned OFF while diode D3 still conducts. Since iLr is negative, it is understood that the voltage across capacitor Cr discharges. Hence, the capacitor voltage VCr starts to decreases from VCc. ZVS operation of the main switch is ensured since the capacitor voltage VCr becomes zero and forward biases the anti-parallel diode. This mode ends when VCr = 0 at time t6. Mode 7 (t6 < t < t7): In this mode, capacitor voltage VCr=0 due to which the anti-parallel diode is forward biased. The inductor current iLr increases towards positive value from a negative value. The main switch Q is turned ON at ZVS interval. The diode D1 and D3 are still conducting. By the end of this mode, at time t7, the output diode D3 is turned OFF and the diode D2 is forward biased. Mode 8 (t7 < t < t8): In this mode, the diode D3 is turned OFF. The diodes D1 and D2 are in commutation interval. The voltage across capacitor C1 will be same as the induced voltage drop across the resonant inductor. This causes the inductor current iLr to increase. This mode ends when diode D1 is turned OFF with iD1=0 and marks the commencement of the next cycle. Figure 4 shows the characteristic waveform of the considered converter and Figure 5 shows the equivalent circuit diagrams during various operating modes. 4. ANALYSIS OF THE PRESENTED CONVERTER The steady state analysis of the circuit is used to derive important characteristic equations like voltage gain and device stress. By volt-second balance principle applied across the inductors L1 and inductor L2, without considering the duty cycle loss in each mode, the steady state voltage gain equation can be derived. When the switch Q remains in ON state, the voltage across the inductor L1 is equal to the supply voltage Vin. When the switch Q is OFF, the voltage across L1 will be VL1=Vin-VC1. Now, by applying volt- second balance, we get 1 0 (6) Rearranging equation (6), we get 1 1 (7) When the switch Q is ON, the voltage across the inductor L2 will be same as the voltage across capacitor C1. When the switch Q is tuned OFF, the voltage across the inductor is given by (8) Applying volt-second balance across inductor L2 gives 1 0 (9) Rearranging equation (9), we get 1 1 (10)
  • 5. IJPEDS ISSN: 2088-8694  An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar) 246 Combining the equations (7) and (10), the overall conversion ratio of the proposed converter is derived as 1 1 (11) Figure 4. Characteristic waveforms of the presented converter
  • 6.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252 247 (a) mode 1 (e) Mode 5 (b) mode 2 (f) Mode 6 (c) Mode 3 (g) Mode 7 (d) mode 4 (h) Mode 8 Figure 5. Equivalent for various operating modes   5. DESIGN SPECIFICATIONS The reactive elements (L1, L2 and CC) and the maximum duty cycle of the proposed converter can be designed from equation (11) as 1 , (12)
  • 7. IJPEDS ISSN: 2088-8694  An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar) 248 Based on the specified inductor ripple current ΔiL1 and ΔiL2 values, the inductance values are derived as ∆ (13) ∆ 1 (14) For successful soft switching of the main and auxiliary switches, the energy stored in the resonant inductor Lr should be greater than energy stored in resonant capacitor Cr. The expression relating this condition is derived by considering the operating modes and is given by (15) The gating time delay between the main and the auxiliary switch is given by 2 (16) From the known Cr value, the value of the Lr can be calculated using equation (14) as ≅ 4 (17) The value of clamp capacitance is derived from the expression ≫ 1 (18) 6. EXPERIMENTAL RESULTS The adopted converter was fabricated in the laboratory and operated from an input voltage of 12V, provided an output voltage of 120V at 50kHz switching frequency and delivered an output power 35W. The values of inductors L1 and L2 were computed and designed to be 471µH and 4mH respectively. The switching frequency was maintained same as the resonant frequency. Therefore, the value of resonant inductor was designed to be 4.7µH for a resonant capacitor with value 4.7µF/160V. The values of clamp and output capacitors were designed as 1nF/160V and 100µF/160V respectively. The gate pulses were obtained by suitably programming PIC18F45k20 flash microcontroller. The power devices used were IRFP250 and all the diodes were MUR460 fast recovery power diodes. The experiment was carried out with a resistive load which was adjusted to draw the required power at the rated voltage condition. Figure 6 shows the gate pulse of the main switch, auxiliary switch and the output voltage. It is observed that the gate pulses are provided with the desired duty cycle and are complimentary to each other. The average output voltage obtained from the converter is 106V which is very close to the designed value. The reduction in output voltage is due to incremental voltage drop across the inductor and the switches. This drop could be compensated by suitably adjusting the duty cycle. Figure 7 shows the gate pulses applied to main switch Q, auxiliary switch Qa, the voltage stress across the switch Q and the output voltage. It is clear that the main switch experiences a voltage stress which is close to the output voltage. Figure 8 shows the gate pulses applied to the switches and the voltage stress experienced by them. The switch duty cycle, operating frequency, proper turn ON and turn OFF of both the switches and the complimentary behaviour of the switches can be confirmed. Further, it is clear that the switch voltage stress is close to the output voltage. It is interesting to notice that the voltage across the switch exhibits ringing since snubber circuits were not used. Figure 9 shows the measured waveform of gate pulse, voltage stress and current stress of the switch Q. The magnitude of the switch current is in accordance with the expected value. The zero voltage switching (ZVS) of the main switch Q is shown in Figure 10. Before the switch is turned ON, the switch current is
  • 8.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252 249 negative and voltage across the switch is reduced to zero. This confirms the proper operation of the soft switching circuit which was added to the cascaded boost converter. Figure 11 shows the photograph of the implemented converter. Figure 6. Gate pulse of main switch Q, auxiliary Qa and output voltage Figure 7. Gate pulses of Q and Qa, voltage stress of Q and output voltage
  • 9. IJPEDS ISSN: 2088-8694  An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar) 250 Figure 8. Gate pulses and voltage stresses of switches Q and Qa Figure 9. Gate pulse, voltage across switch Q and current through the main switch Q
  • 10.  ISSN: 2088-8694 IJPEDS Vol. 6, No. 2, June 2015 : 242 – 252 251 Figure 11. Zero Voltage Switching (ZVS) of main switch Q Figure 12. Photograph of the implemented converter 7. CONCLUSION This paper presented the analysis, design and experimental verification of a soft switched DC-DC converter, which was designed for automotive HID lamp application. The converter provided the required voltage gain at the designed power level. Experimental results prove the validity of the design. The main desirable features of this converter are (i) its ability to operate under soft switching condition (ii) reduced device stress and (iii) high voltage gain at lower duty ratio. By proper choice of inductor and switches, the required voltage gain can precisely be achieved. REFERENCES [1] Tseng K.C. and Liang T.J. Novel High Efficiency Step Up Converter. IEE Proc. Electro. Power Appl. 2004; 151(2): 182-190. [2] Liang T.J. and Tseng K.C. Analysis of Integrated Boost-Fly back Step-up Converter. IEE Proc.-Electr. Power Appl. 2005; 152(2): 217-225. [3] Wai Rong-Jong, Duan Rou-Yong Duan. High Step-Up Converter with Coupled Inductor. IEEE Transanctions on Power Electronics. 2005; 20(5): 1025-1035.
  • 11. IJPEDS ISSN: 2088-8694  An Efficient High Gain DC-DC Converter for Automotive Applications (M. Prabhakar) 252 [4] Qun Zhao, Fred C.Lee. High Efficiency High Step Up DC-DC Converter. IEEE Transactions on Power Electronics, 2003; 18(1): 65-73. [5] Changchien S.K., Liang T.J., Chen J.F., Yang L.S. Step-Up DC–DC Converter by Coupled Inductor and Voltage- Lift Technique. IET Power Electronics. 2010; 3(3): 369–378. [6] Wai R.J. and Duan R.Y. High Efficiency DC-DC Converter with High Voltage Gain. IEE Proc.-Electr. Power App., 2005; 152(4): 793-802. [7] Qun Zhao and Fred C.Lee. High Efficiency High Step Up DC-DC Converter. IEEE Transactions on Power Electronics. 2003; 18(1): 65-73. [8] Mak On-Cheong, Wong Yue-Chung, and Ioinovici Adrian. Step-up DC Power Supply Based on a Switched- Capacitor Circuit. IEEE Transactions on Industrial Electronics. 1995; 42(1): 90-97. [9] Wei Qian, Dong Cao, Jorge C.R. A Switched-Capacitor DC–DC Converter with High Voltage Gain and Reduced Component Rating and Count. IEEE Transactions on Industry Application. 2012; 48(4): 139-1406. [10] Oded Abutbul, Amir Gherlitz, Yefim Berkovich, and Adrian Ioinovici. Step-Up Switching-Mode Converter With High Voltage Gain Using a Switched-Capacitor Circuit. IEEE Transactions On Circuits And Systems – I: Fundamental Theory and Applications. 2003; 50(8): 1098-1102. [11] Vu Tran and Mufeed MahD. Modeling and Analysis of Transformerless High Gain Buck-boost DC-DC Converters. International Journal of Power Electronics and Drives Systems (IJPEDS). 2014; 4(4): 528-535. [12] Esam H. Ismail, Mustafa A.Al-Saffar, Ahmad J. Sabazli. High Conversion Ratio DC-DC Converter with Reduced Switch Stress. IEEE Trans Circuit and Systems, Systems—I: Regular Papers, 2008; 55(7): 2139-2151. [13] Boris Axelrod, Yefim Berkovich, and Adrian Ioinovici. Switched-Capacitor/Switched-Inductor Structures for Getting Transformerless Hybrid DC–DC PWM Converters. IEEE Transactions on Circuits and Systems—I: Regular Papers. 2008; 55(2): 687-695. [14] Pawel Klimezak, Stig Munk-Neilson. Comparative Study on Paralleled Vs. Scaled DC-DC Converter in High Voltage Gain Application. 39th IEEE Power Electronics Conference (PESC). Rhodes, Greece. 2008; 1: 108-113. [15] Wai R.J., Liu L.W., and Duan R.Y. High Efficiency Voltage Clamped DC-DC Converter with Reduced Reverse Recovery Current and Switch-Voltage Stress. IEEE Transactions on Industrial Applications. 2006; 53(1) 272-280. [16] Ahmad Saudi Samosir, Taufiq, Abd Jaafar Shafie, Abdul Halim Mohd Yatim. Simulation and Implementation of Interleaved Boost DC-DC Converter for Fuel Cell. International Journal of Power Electronics and Drives Systems (IJPEDS). 2011; 1(2): 168-174. [17] Girish Ganesan. R and M.Prabhakar. Multilevel DC-DC Converter for High Gain. International Journal of Power Electronics and Drives Systems (IJPEDS). 2013; 3(4): 365-373. [18] Ivanovic B. and Stojikovic, Z. A Novel Active Soft Switching Snubber Designed for Boost Converter. IEEE Transactions on Power Electronics. 2004; 19(3): 658–665. [19] Lin B.R., Chen J.J. Analysis and Implementation of a Soft Switching Converter with High Voltage Conversion Ratio. IET Power Electronics. 2008; 1(3): 386-394. BIOGRAPHIES OF AUTHORS Aiswarya T.M. received B.Tech in Electrical and Electronics Engineering from Calicut University, Calicut, India in 2012. She received M.Tech in Power Electronics and Drives from VIT University, Chennai, India in 2014. Her areas of interest include Power Converter Circuits, High Gain DC-DC Converters and Automotive Applications. M. Prabhakar received the B.E. degree in Electrical and Electronics Engineering from University of Madras, Madras, India in 1998, the M.E. Degree in Power Electronics and Drives from Bharathidasan University, Tiruchirapalli, India in 1998 and Ph.D. degree in Electrical Engineering from Anna University, Chennai, in 2012. He has more than 14 years of teaching experience at UG and PG level. He is currently an Associate Professor in the School of Electrical Engineering, VIT University, Chennai, India. He is a reviewer for various international journals like IEEE Transactions on Power Electronics, International Journal of Electronics and International Journal of Engineering. His areas of interest include DC-DC Converters, Resonant Converters and Power Converter Circuits.