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International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 71
Closed Loop Controlled Hybrid Boost Three Level DC-DC
Converter with High Voltage Gain for PV Systems
Vinith Das1
, Dr. Babu Paul2
, Prof. Elizabeth Sebastian3
1 Department of Electrical and Electronics Engineering, Mar Athanasius College of Engineering, India
2 Department of Electrical and Electronics Engineering, Mar Athanasius College of Engineering, India
3 Department of Electrical and Electronics Engineering, Mar Athanasius College of Engineering, India
I. INTRODUCTION
Both photovoltaic (PV) and wind
power generations have become important
parts of renewable energy sources, due to
worldwide exhausted fossil fuel and worlds
demand for clean energy. In grid-connected
PV generation systems, a single PV array can
only supply lower dc voltage, but higher
voltage level is demanded for the grid-
connected side. Therefore, the mode of PV
arrays in series has been adopted to offset the
differential voltage levels between dc bus and
grid side. Unfortunately, low voltage PV
arrays are always subjected to inevitable
cloud, dust, shadow, and so on, which will
limit the output current of the total PV arrays,
and then the efficiency of the entire PV
generation system will be degraded. Naturally,
the other mode of PV arrays in parallel has
also been proposed, and the power generation
level can be improved by extending the
parallel connected PV arrays flexibly.
Considering parallel connected PV
configuration, the most important problem is
that the low dc bus voltage has to be boosted
to high voltage. Therefore, high step-up dc-dc
converters are introduced between low
voltage parallel connected PV arrays and the
demanded high voltage grid connected side
for the voltage conversion. When converters
operate with high step-up gains, high output
voltage would be sustained completely by the
power switches in conventional boost two-
level converters. The classical boost three-
level converters could reduce half of the
voltage stress, but it requires extreme duty
cycles of power switches which limits its
voltage gains and switching frequency
because of the shorter turn off time of the
power switches in each switching period.[1]-
[3]
RESEARCH ARTICLE OPEN ACCESS
Abstract:
To overcome the problem of mismatched voltage levels between parallel-connected low voltage photovoltaic (PV)
arrays and the higher grid voltage, a hybrid boost three level dc-dc converter is developed based on three level inverter with
the traditional single phase diode clamping. Only one inductor, two capacitors in series, and those power switches and diodes,
which are easy to be integrated, are used for establish the topology with transformerless high voltage gain. The operation
principle of the topology is analyzed, and then the pulse width modulation (PWM) control method is obtained according to
the switching functions about the output pulse voltages of both half-bridges. Therefore, the converter can not only operate
with high voltage gain, but also make the duty cycles of power switches closer to 0.5. A feedforward closed loop control
operation is proposed such that even in varying input the converter is capable of giving a constant output. Finally an
experimental is set up in the laboratory for open loop control operation. All experimental results verify the feasibility of the
circuit and validity of the PWM control method.
Keywords- Photovoltaic system(PV system), Hybrid boost converter
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 72
Cascaded boost converters are also
used to extend the voltage gain and duty
cycles, but one obvious disadvantage is that it
requires more number of separate inductors,
and the power switch of the last power stage
cannot avoid the output voltage stress. Many
researchers have put their studies on step-up
converters with coupled inductor in recent
years, which has the transformer function to
extend the voltage gain and duty cycles.
Although the voltage stress of power switches
is low, the output power level is limited and
the input current ripple is large due to the
single phase structure. Therefore, the idea of
interleaved boost converters with switched
capacitors came into being. However, more
switched capacitor cells are required to obtain
a high voltage gain. An interleaved high step-
up converter integrated with winding-cross-
coupled inductors and voltage multiplier cells
is presented, but it sponges on more coupled
inductors which are not easy to be integrated
or designed in standardization. In addition,
the duty cycles of the power switches inclines
to 1, due to the increased voltage gain.[4]-[7]
A hybrid boost three-level dc-dc
converter with closed loop control is proposed
in this project, taking the topology established
without a transformer or coupled inductors
into account. It is composed of only one
inductor, two output capacitors in series, and
other power semiconductor components,
which are easy to be integrated. This
converter can not only realize high step-up
gain, but also avoid extreme duty cycles. The
deduction of the topology synthesis with
closed loop control is explained in this project
and simulation results are obtained. Also, a
prototype is set up for the open loop control,
and the effective experimental results are
obtained.
II. HYBRID BOOST THREE LEVEL DC-
DC CONVERTER
This topology mainly consists of 4
control switches. The interleaved conduction
property and hybrid switching property are
clubbed together here. Apart from the control
switches, the circuit requires 8 diodes. Also, a
boost inductor and 2 output capacitors in
series are implemented in the circuit.
Fig. 1 Hybrid Boost Three Level DC-DC Converter
Fig. 1 shows the circuit diagram. As
already mentioned, there are 4 control
switches Q1 - Q4, 8 diodes D1 - D4 and Dc1 -
Dc4, 2 output capacitors Cf1 and Cf2 and the
boost inductor Lf . As shown in the figure, it
is basically an interconnected circuit with two
half bridges with hybrid switching. In this
way the interleaved conduction property can
be implemented. If the half bridges are
operated individually, each requires a separate
inductor and 2 capacitors; on a whole 2
inductors and 4 capacitors would be required.
Additional advantage of the interconnection is
that a single inductor and 2 capacitors can be
shared by both the half bridges. Consider the
points a, b, p and g shown in the Fig.1. g is
the ground terminal taken for the load RL. The
output of half bridge I is voltage across a and
g, Vag. The output of half bridge II is across b
and g, Vbg. Thus the resultant of these outputs
of half bridges acts as an output voltage pulse
Vab across the load.
= βˆ’
The capacitors Cf1 and Cf2 filter this
output voltage pulse and generates constant
DC voltage across the load, Vo = Vpg. Values
International Journal of Engineering and Techniques
ISSN: 2395-1303
of the capacitors determine the voltage ripple
in the output DC voltage.
A. MODES OF OPERATION
The modes of operation can be
explained by considering the switching of
control switches and its consequences. For a
particular switching frequency, switches Q
and Q2 are operated for first half cycle, and,
switches Q1 and Q2 are operated for second
half cycle. Pulse width of gate signal to Q
greater than that to Q2. Similarly, pulse width
of gate signal to Q4 is greater than that to Q
Switches Q1 and Q4 are complementary, ie.,
they operate with same pulse width but in
different half cycles. Same is the case for Q
and Q3. Based on the switching states, there
are 5 modes of operation for the circuit. Fig.2
shows the mode of operation, in which the
waveforms of the gate signals to the switches
and corresponding change in Vag, V
are shown.
Fig. 2 Modes of Operation
1) Mode I: In this mode, all the control
switches will be switched off. Diodes D
will be in conduction. The inductor is
discharging and both the capacitors are
charging. In a single period of gate signal, this
mode occurs in three times. Here, V
Vbg = 0, and Vab = Vag - Vbg = V
shows the region of operation where
unshaded portion represents the region. Fig.
3(b) shows the current flow in the circuit.
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep –
http://www.ijetjournal.org
of the capacitors determine the voltage ripple
The modes of operation can be
considering the switching of
control switches and its consequences. For a
particular switching frequency, switches Q1
are operated for first half cycle, and,
are operated for second
half cycle. Pulse width of gate signal to Q1 is
. Similarly, pulse width
is greater than that to Q3.
are complementary, ie.,
they operate with same pulse width but in
different half cycles. Same is the case for Q2
itching states, there
are 5 modes of operation for the circuit. Fig.2
shows the mode of operation, in which the
waveforms of the gate signals to the switches
, Vbg and Vab
n this mode, all the control
switches will be switched off. Diodes D1 - D4
in conduction. The inductor is
ing and both the capacitors are
charging. In a single period of gate signal, this
mode occurs in three times. Here, Vag = Vo,
= Vo. Fig. 3(a)
s the region of operation where
unshaded portion represents the region. Fig.
3(b) shows the current flow in the circuit.
Fig. 3 Mode I (a) Region of Operation (b) Current Flow Diagram
2) Mode II: In mode II operation, Q
switched on. Diodes Dc2, D3 and D
conducting. This mode operates in the first
half cycle. The inductor is discharging.
Capacitor Cf1 is discharging and Capacitor C
is charging. Half bridge outputs, V
Vbg = 0, and Vab = Vo/2. Fig. 4 shows the
mode II operation.
Fig. 4 Mode II (a) Region of Operation (b) Current Flow Diagram
Fig. 5 Mode III (a) Region of Operation (b) Current Flow Diagram
3) Mode III: In mode III operation, Q
are switched on. Diodes D3 and D
conducting. The inductor is charging and the
output voltage to the load is supplied by
discharging the capacitors. Vag
and Vab = 0. Fig. 5 shows the mode III
operation.
4) Mode IV: Mode IV is a complementary
action of mode II, which operates in the other
half cycle. Here Q4 is switched on. Diodes
Dc3, D1 and D2 will be conducting. The
– Oct 2016
Page 73
Fig. 3 Mode I (a) Region of Operation (b) Current Flow Diagram
operation, Q1 is
and D4 will be
conducting. This mode operates in the first
half cycle. The inductor is discharging.
is discharging and Capacitor Cf1
is charging. Half bridge outputs, Vag = Vo/2,
/2. Fig. 4 shows the
Fig. 4 Mode II (a) Region of Operation (b) Current Flow Diagram
Fig. 5 Mode III (a) Region of Operation (b) Current Flow Diagram
In mode III operation, Q1 and Q2
and D4 will be
conducting. The inductor is charging and the
output voltage to the load is supplied by
= 0, Vbg = 0,
= 0. Fig. 5 shows the mode III
Mode IV is a complementary
, which operates in the other
is switched on. Diodes
will be conducting. The
International Journal of Engineering and Techniques
ISSN: 2395-1303
inductor is discharging, Cf1 is charging and
Cf2 is discharging. Vag = Vo, Vbg = V
Vab = Vo/2. Fig. 6 shows the mode IV
operation.
Fig. 6 Mode IV (a) Region of Operation (b) Current Flow Diagram
5) Mode V: As in the previous case, mode V is
a complementary action of mode III operation
in the other half cycle. Q3 and Q4 are switched
on. Diodes D1 and D2 will be conducting. The
inductor is charging and the output voltage to
the load is supplied by discharging the
capacitors. Vag = Vo, Vbg = Vo, and V
Fig. 5 shows the mode V operation.
Fig. 7 Mode V (a) Region of Operation (b) Current Flow Diagram
B. VOLTAGE GAIN EQUATION
The voltage gain equation is derived
with the help of the energy balance equation
of the inductor. Consider the operating modes
waveforms in fig. 2. ton1, ton2, ton3
the turn on time periods of switches Q
Q3 and Q4 respectively. d1, d2, d3
the corresponding duty ratios. As mode II and
IV, and, mode III and V are complementary,
ton1 = ton4 (d1 = d4) and ton2 = ton3 (d
the total time period. IL is the average
inductor current.
The energy stored in the inductor,
= Γ— Γ— 2 Γ—
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep –
http://www.ijetjournal.org
is charging and
= Vo/2, and
/2. Fig. 6 shows the mode IV
Fig. 6 Mode IV (a) Region of Operation (b) Current Flow Diagram
As in the previous case, mode V is
a complementary action of mode III operation
are switched
will be conducting. The
r is charging and the output voltage to
the load is supplied by discharging the
, and Vab = 0.
Fig. 5 shows the mode V operation.
Fig. 7 Mode V (a) Region of Operation (b) Current Flow Diagram
The voltage gain equation is derived
with the help of the energy balance equation
of the inductor. Consider the operating modes
and ton4 are
the turn on time periods of switches Q1, Q2,
3 and d4 are
the corresponding duty ratios. As mode II and
IV, and, mode III and V are complementary,
(d2 = d3). T is
is the average
Γ— 2
(by considering complementary actions in the
total time period, equation in mode I is
doubled)
The energy transferred from the inductor,
= ( βˆ’ ) Γ— Γ—
2
βˆ’
2
βˆ’ Γ— Γ— ( 1
where,
( 1 2) = ( 1 βˆ’
Assuming the ideal case, energy transferred
from the inductor will be equal to the energy
stored in it.
=
Putting these equations together,
=
βˆ’ ( 1
But ton1 = d1.T and ton2 = d
voltage gain M = Vo/Vin. Therefore,
=
1
1 βˆ’ ( 1
From the above equation, it is clear
that extreme duty cycle for the switches are
not needed for high voltage gain, it can be
obtained from duty ratios close to 0.5. The
equation shows that at 0.5 duty ratio, the gain
will be infinity.
IV. CLOSED LOOP CONTROL
For a given input, the required output
can be obtained by switching with particular
duty cycles. This is the open loop control. But
for PV systems, input is always varying as the
intensity of sunlight varies continuously. So
open loop control is not reliable, closed loop
control is required to obtain constant output
even if the input is varying. This section
explains about a closed loop control for the
hybrid boost three level DC-DC converter
– Oct 2016
Page 74
(by considering complementary actions in the
total time period, equation in mode I is
The energy transferred from the inductor,
βˆ’ 1 Γ— 2
2) Γ— 2
2)
Assuming the ideal case, energy transferred
from the inductor will be equal to the energy
Putting these equations together,
2)
= d2.T. And also,
. Therefore,
2)
From the above equation, it is clear
that extreme duty cycle for the switches are
not needed for high voltage gain, it can be
obtained from duty ratios close to 0.5. The
duty ratio, the gain
IV. CLOSED LOOP CONTROL
For a given input, the required output
can be obtained by switching with particular
duty cycles. This is the open loop control. But
for PV systems, input is always varying as the
f sunlight varies continuously. So
open loop control is not reliable, closed loop
control is required to obtain constant output
even if the input is varying. This section
explains about a closed loop control for the
DC converter.
International Journal of Engineering and Techniques
ISSN: 2395-1303
A. PWM STRATEGY
The basic idea for the closed loop
control implemented here is that changing the
gain value for varying inputs to obtain a
constant output. For that, duty cycles of the
switching pulses are varied according to the
change in input voltage. As there are 4
different gate signals, 4 different calculations
are required from a single value. For that, a
specific PWM strategy is proposed and it is
explained below.
Fig. 8 PWM Strategy
Fig. 8 shows the PWM strategy. For
making the calculations simple, the
carrierwave taken is a triangular wave with
peak amplitudes +1 and -1. d1, d2
are the duty cycles of Q1, Q2, Q
respectively. For obtaining these gate signals,
the carrier wave is compared with constant
values c01, c02, c03 and c04 as shown in the
figure. For making d1 - d4 and d
complementary, c01 and c04 are equal values
having opposite signs; same is the case for c
- c03. When magnitude of carrierwave is
greater than c01 and c04, gate signals for Q
and Q4 are generated. When magnitude of
carrierwave is less than c02 and c
signals for Q2 and Q3 are generated, for
giving a 180 degree shift.
From the figure it is found that,
1 = 0.5 βˆ’ (0.5 Γ— 01)
4 = 0.5 (0.5 Γ— 04)
The 4 gate signals must be generated
with a single value control, say 'c', for reliable
operation. For that the 4 constants c
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep –
http://www.ijetjournal.org
The basic idea for the closed loop
control implemented here is that changing the
gain value for varying inputs to obtain a
constant output. For that, duty cycles of the
switching pulses are varied according to the
e. As there are 4
different gate signals, 4 different calculations
are required from a single value. For that, a
specific PWM strategy is proposed and it is
Fig. 8 shows the PWM strategy. For
simple, the
carrierwave taken is a triangular wave with
, d2, d3 and d4
, Q3 and Q4
respectively. For obtaining these gate signals,
the carrier wave is compared with constant
as shown in the
and d2 - d3 pairs
are equal values
having opposite signs; same is the case for c02
. When magnitude of carrierwave is
, gate signals for Q1
are generated. When magnitude of
and c03, gate
are generated, for
)
)
The 4 gate signals must be generated
with a single value control, say 'c', for reliable
operation. For that the 4 constants c01, c02, c03
and c04 must be given in terms of c. Assume
c02 = c and c01 = 0.5c, c03 = -c and c
So the above equations changes to,
1 = 0.5 βˆ’ (0.25 Γ—
4 = 0.5 βˆ’ (0.25 Γ—
Then the equation for voltage gain changes to,
=
1
1 βˆ’ ( 1 2)
=
1
1 βˆ’ 0.5 βˆ’ (0.25 Γ— ) 0.5
=
4
3
The above equation shows that the
voltage gain M can be adjusted by
single value c, instead of adjusting the 4 gate
signals separately. Here a carrierwave of peak
+1 and -1 is taken. Practically it is available
with logic 0 and 1 (0V and +5V). To consider
these changes, the carrier waveform shown in
figure 4.1 has to be proportionally shifted
upwards to make the peak points 0 and +5.
Then c01, c02, c03 and c04 to c1, c
given below,
1 = 2.5 (1.25 Γ—
4 = 2.5 βˆ’ (1.25 Γ—
Only the relation between c and
individual constants changes due to
proportional shifting. The voltage gain
equation remains same, M = 4/(3c). For
closed loop control, a relation between c and
Vin has to be found. Looking into the gain
equation,
=
4
3
where k = 4/(3Vo). As output voltage has to
be taken as constant, value of k will
be constant. Thus a linear relationship
between c and Vin is obtained. For the
variations in input voltage, control can be
implemented in this converter using this
equation to get a constant output. Here ideal
case is taken and a linear relationship between
c and Vin with origin 0 is obtained. In
practical case, the equation will have an
additional intercept value.
– Oct 2016
Page 75
must be given in terms of c. Assume
c and c04 = -0.5c.
hanges to,
Γ— )
Γ— )
Then the equation for voltage gain changes to,
5 βˆ’ (0.5 Γ— )
The above equation shows that the
voltage gain M can be adjusted by controlling
single value c, instead of adjusting the 4 gate
signals separately. Here a carrierwave of peak
1 is taken. Practically it is available
with logic 0 and 1 (0V and +5V). To consider
these changes, the carrier waveform shown in
has to be proportionally shifted
upwards to make the peak points 0 and +5.
, c2, c3 and c4 as
Γ— )
Γ— )
Only the relation between c and
nts changes due to
proportional shifting. The voltage gain
equation remains same, M = 4/(3c). For
closed loop control, a relation between c and
Vin has to be found. Looking into the gain
= 4/(3Vo). As output voltage has to
be taken as constant, value of k will
be constant. Thus a linear relationship
between c and Vin is obtained. For the
variations in input voltage, control can be
implemented in this converter using this
constant output. Here ideal
case is taken and a linear relationship between
with origin 0 is obtained. In
practical case, the equation will have an
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 76
V. SIMULATION MODEL AND
RESULTS
Simulation is done for both open loop
and closed loop control. It is done with
practical settings to get an idea of variation in
ideal theoretical concepts and practical
scenario. IGBTs are the controlled switches
used for the simulation. For the open loop
control, a PV system with 50V is taken as
input. The converter has to boost it to 600V
(M = 12). Maximum inductor current through
the inductor is 50A. Load is 1k resistor.
Switching frequency taken is 5kHz.
Voltage gain M = 12, so constant c is,
=
4
3 Γ—
=
4
3 Γ— 12
=
1
9
Taking current ripple, Ξ”IL in the inductor as 7%
of inductor current,
= 0.07 Γ— = 0.07 Γ— 50 = 3.5
Taking output ripple, Ξ”Vo as 2% of output
voltage,
= 0.02 Γ— = 0.02 Γ— 600 = 12
Output current, Io is,
= =
600
1000
= 0.6
For a boost converter, design equation for the
boost inductor Lf is,
=
( βˆ’ )
Γ— Γ—
=
50(600 βˆ’ 50)
3.5 Γ— 5000 Γ— 600
= 2.6
The effective duty cycle for the converter, D
is,
= 1 βˆ’
1
= 1 βˆ’
1
12
= 0.9167
The output filter capacitor value, Cf is,
=
Γ—
Γ—
=
0.6 Γ— 0.9167
5000 Γ— 12
= 9.2Β΅
For the simulation model, round of
values Lf = 5mA and Cf = 11Β΅F (Cf1 = Cf2 =
22Β΅F) are taken. The simulation parameters
are shown in table 1.
TABLE 1
Simulation Parameters
The simulation diagram with the
design values is shown in fig. 9 with the
PWM strategy explained in last session. The
waveforms of output voltage and inductor
current is shown in fig. 10. The circuit was
designed for 600V with ideal scenario but
simulation results with settings of practical
scenario shows an output of 578V. So the
efficiency is Ι³ = 578/600 = 96.33%. The
maximum inductor current taken for design
was 50A and simulation result shows the
steady-state inductor current around 25A. So
it is under the limit. Waveforms of the half
bridge output voltages Vag and Vbg, and the
output voltage pulse Vab are shown in fig. 11.
Each waveform has three levels of 0, Vo/2
and Vo.
Fig. 9 Simulation Model for Open Loop Control
International Journal of Engineering and Techniques
ISSN: 2395-1303
Fig. 10 (a)Output Voltage Vo (b) Inductor current I
The closed loop control is
for 600V output voltage. Fig. 12 shows the
variation made in c for different inputs to
make the output at 600V in open loop control.
It can be seen that there is a linear
relationship between c and Vin. By verifying
the axes points, equation for
relationship is,
= 0.0022 βˆ’ 0.0038
Fig. 11 Half Bridge Outputs and Output Voltage Pulse (a) V
(c) Vab
This equation is used for closed loop
control. Figure 5.13 shows the simulation
diagram for closed loop control. The
simulation parameters are taken as same as
that of open loop control, except the input
voltage is switched alternatively at different
intervals for showing the variation in input.
Fig.14 shows the switching sequence for the
input. The gate circuit for closed loop control
is shown in fig. 15 Vin is taken and
Fig. 12 (a) Table for Vin vs c (b) Graph showing Linear Relationship
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep –
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(b) Inductor current IL
The closed loop control is designed
for 600V output voltage. Fig. 12 shows the
variation made in c for different inputs to
make the output at 600V in open loop control.
It can be seen that there is a linear
. By verifying
the axes points, equation for this linear
0038
Fig. 11 Half Bridge Outputs and Output Voltage Pulse (a) Vag (b) Vbg
This equation is used for closed loop
control. Figure 5.13 shows the simulation
diagram for closed loop control. The
simulation parameters are taken as same as
that of open loop control, except the input
voltage is switched alternatively at different
intervals for showing the variation in input.
Fig.14 shows the switching sequence for the
ed loop control
is taken and
vs c (b) Graph showing Linear Relationship
converted to c value. c is again converted to
individual constant values c1, c
Then these values are compared with
amplitude of carrierwave signal to generate
various gate signals. As the input voltage
changes, duty cycle of gate pulses change
accordingly. Fig. 16 shows waveforms for V
Vo and inductor current IL. Input voltage is
varied from 40V to 50V and finally to 6
all cases, after some distortion in transient
state, the value settles to 600V in steady state.
Fig. 13 Simulation Diagram for Closed Loop Control
Fig. 14 Switching Sequence for Input Voltages
Fig. 15 Gate Circuit for Closed Loop Control
Fig.16 Closed Loop Control (a) Input Voltage V
Vo (c) Inductor Current IL
VI. HARDWARE IMPLEMENTATION
– Oct 2016
Page 77
converted to c value. c is again converted to
, c2, c3 and c4.
Then these values are compared with
litude of carrierwave signal to generate
various gate signals. As the input voltage
changes, duty cycle of gate pulses change
accordingly. Fig. 16 shows waveforms for Vin,
. Input voltage is
varied from 40V to 50V and finally to 60V. In
all cases, after some distortion in transient
state, the value settles to 600V in steady state.
Fig. 13 Simulation Diagram for Closed Loop Control
Fig. 14 Switching Sequence for Input Voltages
Fig. 15 Gate Circuit for Closed Loop Control
Fig.16 Closed Loop Control (a) Input Voltage Vin (b) Output Voltage
VI. HARDWARE IMPLEMENTATION
International Journal of Engineering and Techniques
ISSN: 2395-1303
The laboratory hardware testing is
done for the open loop control. Fig.17 shows
the prototype. The input is 5V and output is
33.33V. Since it is a low power circuit, low
rating MOSFETs IRF 540 are taken as
controlled switches. The switching frequency
is 5kHz. PIC 16F877A is programmed to
generate the gate pulses to have voltage gain
M = 20/3(this value was chosen as it is easy
to program the corresponding gate pulses).
The diodes are fast recovery diodes 1N4148.
Converter circuit capacitors and inductor are
chosen as per design values. Fig. 18 shows
the input and output voltage waveform. Input
was regulated DC voltage taken from AC
mains using regulator IC 7805 and 4.92V DC
was generated which is near to 5V. For this
input a satisfactory output of 18.6V DC was
obtained. This difference in practical value is
due to the fact that there will be unavoidable
circuit resistance drops and it also leads to
unbalance in charging and discharging of the
two capacitors. When the circuit is of low
power, these errors become prominent. The
efficiency was found to be 56%. Fig. 19
shows the three level operation. 19(a) shows
waveform of Vag and Vbg, the output voltages
of half bridges I and II respectively. Pulse V
is shorter width than Vag. 19(b) shows V
output voltage pulse, which is the difference
of Vag and Vbg.
Fig. 17 Experimental Setup
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep –
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The laboratory hardware testing is
done for the open loop control. Fig.17 shows
the prototype. The input is 5V and output is
3V. Since it is a low power circuit, low
rating MOSFETs IRF 540 are taken as
controlled switches. The switching frequency
is 5kHz. PIC 16F877A is programmed to
generate the gate pulses to have voltage gain
M = 20/3(this value was chosen as it is easy
ogram the corresponding gate pulses).
The diodes are fast recovery diodes 1N4148.
Converter circuit capacitors and inductor are
chosen as per design values. Fig. 18 shows
the input and output voltage waveform. Input
was regulated DC voltage taken from AC
ains using regulator IC 7805 and 4.92V DC
was generated which is near to 5V. For this
input a satisfactory output of 18.6V DC was
obtained. This difference in practical value is
due to the fact that there will be unavoidable
also leads to
unbalance in charging and discharging of the
two capacitors. When the circuit is of low
power, these errors become prominent. The
efficiency was found to be 56%. Fig. 19
shows the three level operation. 19(a) shows
he output voltages
of half bridges I and II respectively. Pulse Vbg
. 19(b) shows Vab, the
output voltage pulse, which is the difference
Fig.18 (a)Vin (b)Vo
Fig. 19 (a)Vag and Vbg (b)Vab
VII. CONCLUSIONS
The hybrid boost three
converter is explained in this paper, based on
the conventional single-phase diode clamped
three-level inverter. It can not only operate
with transformerless high voltage gain, but
also make the duty cycles of the power
switches closer to 0.5 with the increasing
voltage gain, instead of the extreme duty
cycles. Moreover, a flexible PWM switching
strategy and closed loop control is explained.
In the simulation of open loop control, circuit
was designed to give an output of 600V for
50V input taking the ideal case. Simulation
result shows an output of 578V, with an
efficiency of 96.33. For the simulation of
closed loop control, the switching pulse width
is varied with change in input voltage to
obtain a constant voltage. Simulation for
closed loop control operation with input range
30V - 70V and output 600V has been done. It
was observed that when there is abrupt
change in input, after some distortion in the
transient state, the output voltage set
constant value in steady state. Laboratory
experiment of the circuit with open loop
control has been done. The circuit was
designed for a gain of M = 20/3. For an input
of 4.92V, the output was 18.6V with around
56% efficiency. So the efficiency
higher for higher voltage levels as there will
be unavoidable circuit resistance drops and it
also leads to unbalance in charging and
– Oct 2016
Page 78
Vab
The hybrid boost three-level DC-DC
converter is explained in this paper, based on
phase diode clamped
level inverter. It can not only operate
with transformerless high voltage gain, but
he duty cycles of the power
switches closer to 0.5 with the increasing
voltage gain, instead of the extreme duty
cycles. Moreover, a flexible PWM switching
strategy and closed loop control is explained.
In the simulation of open loop control, circuit
esigned to give an output of 600V for
50V input taking the ideal case. Simulation
result shows an output of 578V, with an
efficiency of 96.33. For the simulation of
closed loop control, the switching pulse width
is varied with change in input voltage to
tain a constant voltage. Simulation for
closed loop control operation with input range
70V and output 600V has been done. It
was observed that when there is abrupt
change in input, after some distortion in the
transient state, the output voltage settles to a
constant value in steady state. Laboratory
experiment of the circuit with open loop
control has been done. The circuit was
designed for a gain of M = 20/3. For an input
of 4.92V, the output was 18.6V with around
56% efficiency. So the efficiency will be
higher for higher voltage levels as there will
be unavoidable circuit resistance drops and it
also leads to unbalance in charging and
International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 79
discharging of the two capacitors and for the
low power circuit, these errors become
prominent.
REFERENCES
1. Yun Zhang, Jian-Tao Sun, and Yi-Feng Wang,
"Hybrid Boost Three-Level DC-DC Converter With
High Voltage Gain for Photovoltaic Generation
Systems", IEEE Transactions on Power
Electronics, vol. 28, no. 8, August 2013.
2. W. Li and X. He, "Review of nonisolated high-step-
up DC/DC converters in photovoltaic grid-
connected applications", IEEE Transactions Ind.
Electron., vol. 58, no. 4, pp. 12391250, Apr. 2011.
3. Shih-Ming Chen, Tsorng Liang, Lung Yang and
Jiann Chen, "A Safety Enhanced High Step-Up
DCDC Converter for AC Photovoltaic Module
Application", IEEE Transactions on Power
Electronics, vol. 27, no. 4, April 2012.
4. Wuhua Li, Yi Zhao, Jiande Wu, and Xiangning He,
"Interleaved High Step-Up Converter With
Winding-Cross-Coupled Inductors and Voltage
Multiplier Cells", IEEE Transactions On Power
Electronics, vol. 27, no. 1, January 2012.
5. X. Ruan, B. Li, Q. Chen, S. Tan and C. K. Tse,
"Fundamental considerations of three-level DC-DC
converters: Topologies, analyses, and control",
IEEE Transactions Circuits Syst. I, Reg. Papers,
vol. 55, no. 11, pp. 37333743, December 2008.
6. G. Acciari, D. Graci, and A. L. Scala, "Higher PV
module efficiency by a novel CBS bypass", APEC
2001. IEEE Transactions in Power Electronics, vol.
26, no. 5, pp. 13331336, May 2011.
7. Y. Zhang and L. Sun, , "An efficient control strategy
for a five-level inverter comprising flying-
capacitor asymmetric H-bridge", APEC 2001.
IEEE Trans. Ind. Electron , vol. 58, no. 9, pp.
40004009, Sep. 2011.

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Closed Loop Controlled Hybrid Boost Three Level DC-DC Converter for High Voltage Gain in PV Systems

  • 1. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 71 Closed Loop Controlled Hybrid Boost Three Level DC-DC Converter with High Voltage Gain for PV Systems Vinith Das1 , Dr. Babu Paul2 , Prof. Elizabeth Sebastian3 1 Department of Electrical and Electronics Engineering, Mar Athanasius College of Engineering, India 2 Department of Electrical and Electronics Engineering, Mar Athanasius College of Engineering, India 3 Department of Electrical and Electronics Engineering, Mar Athanasius College of Engineering, India I. INTRODUCTION Both photovoltaic (PV) and wind power generations have become important parts of renewable energy sources, due to worldwide exhausted fossil fuel and worlds demand for clean energy. In grid-connected PV generation systems, a single PV array can only supply lower dc voltage, but higher voltage level is demanded for the grid- connected side. Therefore, the mode of PV arrays in series has been adopted to offset the differential voltage levels between dc bus and grid side. Unfortunately, low voltage PV arrays are always subjected to inevitable cloud, dust, shadow, and so on, which will limit the output current of the total PV arrays, and then the efficiency of the entire PV generation system will be degraded. Naturally, the other mode of PV arrays in parallel has also been proposed, and the power generation level can be improved by extending the parallel connected PV arrays flexibly. Considering parallel connected PV configuration, the most important problem is that the low dc bus voltage has to be boosted to high voltage. Therefore, high step-up dc-dc converters are introduced between low voltage parallel connected PV arrays and the demanded high voltage grid connected side for the voltage conversion. When converters operate with high step-up gains, high output voltage would be sustained completely by the power switches in conventional boost two- level converters. The classical boost three- level converters could reduce half of the voltage stress, but it requires extreme duty cycles of power switches which limits its voltage gains and switching frequency because of the shorter turn off time of the power switches in each switching period.[1]- [3] RESEARCH ARTICLE OPEN ACCESS Abstract: To overcome the problem of mismatched voltage levels between parallel-connected low voltage photovoltaic (PV) arrays and the higher grid voltage, a hybrid boost three level dc-dc converter is developed based on three level inverter with the traditional single phase diode clamping. Only one inductor, two capacitors in series, and those power switches and diodes, which are easy to be integrated, are used for establish the topology with transformerless high voltage gain. The operation principle of the topology is analyzed, and then the pulse width modulation (PWM) control method is obtained according to the switching functions about the output pulse voltages of both half-bridges. Therefore, the converter can not only operate with high voltage gain, but also make the duty cycles of power switches closer to 0.5. A feedforward closed loop control operation is proposed such that even in varying input the converter is capable of giving a constant output. Finally an experimental is set up in the laboratory for open loop control operation. All experimental results verify the feasibility of the circuit and validity of the PWM control method. Keywords- Photovoltaic system(PV system), Hybrid boost converter
  • 2. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 72 Cascaded boost converters are also used to extend the voltage gain and duty cycles, but one obvious disadvantage is that it requires more number of separate inductors, and the power switch of the last power stage cannot avoid the output voltage stress. Many researchers have put their studies on step-up converters with coupled inductor in recent years, which has the transformer function to extend the voltage gain and duty cycles. Although the voltage stress of power switches is low, the output power level is limited and the input current ripple is large due to the single phase structure. Therefore, the idea of interleaved boost converters with switched capacitors came into being. However, more switched capacitor cells are required to obtain a high voltage gain. An interleaved high step- up converter integrated with winding-cross- coupled inductors and voltage multiplier cells is presented, but it sponges on more coupled inductors which are not easy to be integrated or designed in standardization. In addition, the duty cycles of the power switches inclines to 1, due to the increased voltage gain.[4]-[7] A hybrid boost three-level dc-dc converter with closed loop control is proposed in this project, taking the topology established without a transformer or coupled inductors into account. It is composed of only one inductor, two output capacitors in series, and other power semiconductor components, which are easy to be integrated. This converter can not only realize high step-up gain, but also avoid extreme duty cycles. The deduction of the topology synthesis with closed loop control is explained in this project and simulation results are obtained. Also, a prototype is set up for the open loop control, and the effective experimental results are obtained. II. HYBRID BOOST THREE LEVEL DC- DC CONVERTER This topology mainly consists of 4 control switches. The interleaved conduction property and hybrid switching property are clubbed together here. Apart from the control switches, the circuit requires 8 diodes. Also, a boost inductor and 2 output capacitors in series are implemented in the circuit. Fig. 1 Hybrid Boost Three Level DC-DC Converter Fig. 1 shows the circuit diagram. As already mentioned, there are 4 control switches Q1 - Q4, 8 diodes D1 - D4 and Dc1 - Dc4, 2 output capacitors Cf1 and Cf2 and the boost inductor Lf . As shown in the figure, it is basically an interconnected circuit with two half bridges with hybrid switching. In this way the interleaved conduction property can be implemented. If the half bridges are operated individually, each requires a separate inductor and 2 capacitors; on a whole 2 inductors and 4 capacitors would be required. Additional advantage of the interconnection is that a single inductor and 2 capacitors can be shared by both the half bridges. Consider the points a, b, p and g shown in the Fig.1. g is the ground terminal taken for the load RL. The output of half bridge I is voltage across a and g, Vag. The output of half bridge II is across b and g, Vbg. Thus the resultant of these outputs of half bridges acts as an output voltage pulse Vab across the load. = βˆ’ The capacitors Cf1 and Cf2 filter this output voltage pulse and generates constant DC voltage across the load, Vo = Vpg. Values
  • 3. International Journal of Engineering and Techniques ISSN: 2395-1303 of the capacitors determine the voltage ripple in the output DC voltage. A. MODES OF OPERATION The modes of operation can be explained by considering the switching of control switches and its consequences. For a particular switching frequency, switches Q and Q2 are operated for first half cycle, and, switches Q1 and Q2 are operated for second half cycle. Pulse width of gate signal to Q greater than that to Q2. Similarly, pulse width of gate signal to Q4 is greater than that to Q Switches Q1 and Q4 are complementary, ie., they operate with same pulse width but in different half cycles. Same is the case for Q and Q3. Based on the switching states, there are 5 modes of operation for the circuit. Fig.2 shows the mode of operation, in which the waveforms of the gate signals to the switches and corresponding change in Vag, V are shown. Fig. 2 Modes of Operation 1) Mode I: In this mode, all the control switches will be switched off. Diodes D will be in conduction. The inductor is discharging and both the capacitors are charging. In a single period of gate signal, this mode occurs in three times. Here, V Vbg = 0, and Vab = Vag - Vbg = V shows the region of operation where unshaded portion represents the region. Fig. 3(b) shows the current flow in the circuit. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – http://www.ijetjournal.org of the capacitors determine the voltage ripple The modes of operation can be considering the switching of control switches and its consequences. For a particular switching frequency, switches Q1 are operated for first half cycle, and, are operated for second half cycle. Pulse width of gate signal to Q1 is . Similarly, pulse width is greater than that to Q3. are complementary, ie., they operate with same pulse width but in different half cycles. Same is the case for Q2 itching states, there are 5 modes of operation for the circuit. Fig.2 shows the mode of operation, in which the waveforms of the gate signals to the switches , Vbg and Vab n this mode, all the control switches will be switched off. Diodes D1 - D4 in conduction. The inductor is ing and both the capacitors are charging. In a single period of gate signal, this mode occurs in three times. Here, Vag = Vo, = Vo. Fig. 3(a) s the region of operation where unshaded portion represents the region. Fig. 3(b) shows the current flow in the circuit. Fig. 3 Mode I (a) Region of Operation (b) Current Flow Diagram 2) Mode II: In mode II operation, Q switched on. Diodes Dc2, D3 and D conducting. This mode operates in the first half cycle. The inductor is discharging. Capacitor Cf1 is discharging and Capacitor C is charging. Half bridge outputs, V Vbg = 0, and Vab = Vo/2. Fig. 4 shows the mode II operation. Fig. 4 Mode II (a) Region of Operation (b) Current Flow Diagram Fig. 5 Mode III (a) Region of Operation (b) Current Flow Diagram 3) Mode III: In mode III operation, Q are switched on. Diodes D3 and D conducting. The inductor is charging and the output voltage to the load is supplied by discharging the capacitors. Vag and Vab = 0. Fig. 5 shows the mode III operation. 4) Mode IV: Mode IV is a complementary action of mode II, which operates in the other half cycle. Here Q4 is switched on. Diodes Dc3, D1 and D2 will be conducting. The – Oct 2016 Page 73 Fig. 3 Mode I (a) Region of Operation (b) Current Flow Diagram operation, Q1 is and D4 will be conducting. This mode operates in the first half cycle. The inductor is discharging. is discharging and Capacitor Cf1 is charging. Half bridge outputs, Vag = Vo/2, /2. Fig. 4 shows the Fig. 4 Mode II (a) Region of Operation (b) Current Flow Diagram Fig. 5 Mode III (a) Region of Operation (b) Current Flow Diagram In mode III operation, Q1 and Q2 and D4 will be conducting. The inductor is charging and the output voltage to the load is supplied by = 0, Vbg = 0, = 0. Fig. 5 shows the mode III Mode IV is a complementary , which operates in the other is switched on. Diodes will be conducting. The
  • 4. International Journal of Engineering and Techniques ISSN: 2395-1303 inductor is discharging, Cf1 is charging and Cf2 is discharging. Vag = Vo, Vbg = V Vab = Vo/2. Fig. 6 shows the mode IV operation. Fig. 6 Mode IV (a) Region of Operation (b) Current Flow Diagram 5) Mode V: As in the previous case, mode V is a complementary action of mode III operation in the other half cycle. Q3 and Q4 are switched on. Diodes D1 and D2 will be conducting. The inductor is charging and the output voltage to the load is supplied by discharging the capacitors. Vag = Vo, Vbg = Vo, and V Fig. 5 shows the mode V operation. Fig. 7 Mode V (a) Region of Operation (b) Current Flow Diagram B. VOLTAGE GAIN EQUATION The voltage gain equation is derived with the help of the energy balance equation of the inductor. Consider the operating modes waveforms in fig. 2. ton1, ton2, ton3 the turn on time periods of switches Q Q3 and Q4 respectively. d1, d2, d3 the corresponding duty ratios. As mode II and IV, and, mode III and V are complementary, ton1 = ton4 (d1 = d4) and ton2 = ton3 (d the total time period. IL is the average inductor current. The energy stored in the inductor, = Γ— Γ— 2 Γ— International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – http://www.ijetjournal.org is charging and = Vo/2, and /2. Fig. 6 shows the mode IV Fig. 6 Mode IV (a) Region of Operation (b) Current Flow Diagram As in the previous case, mode V is a complementary action of mode III operation are switched will be conducting. The r is charging and the output voltage to the load is supplied by discharging the , and Vab = 0. Fig. 5 shows the mode V operation. Fig. 7 Mode V (a) Region of Operation (b) Current Flow Diagram The voltage gain equation is derived with the help of the energy balance equation of the inductor. Consider the operating modes and ton4 are the turn on time periods of switches Q1, Q2, 3 and d4 are the corresponding duty ratios. As mode II and IV, and, mode III and V are complementary, (d2 = d3). T is is the average Γ— 2 (by considering complementary actions in the total time period, equation in mode I is doubled) The energy transferred from the inductor, = ( βˆ’ ) Γ— Γ— 2 βˆ’ 2 βˆ’ Γ— Γ— ( 1 where, ( 1 2) = ( 1 βˆ’ Assuming the ideal case, energy transferred from the inductor will be equal to the energy stored in it. = Putting these equations together, = βˆ’ ( 1 But ton1 = d1.T and ton2 = d voltage gain M = Vo/Vin. Therefore, = 1 1 βˆ’ ( 1 From the above equation, it is clear that extreme duty cycle for the switches are not needed for high voltage gain, it can be obtained from duty ratios close to 0.5. The equation shows that at 0.5 duty ratio, the gain will be infinity. IV. CLOSED LOOP CONTROL For a given input, the required output can be obtained by switching with particular duty cycles. This is the open loop control. But for PV systems, input is always varying as the intensity of sunlight varies continuously. So open loop control is not reliable, closed loop control is required to obtain constant output even if the input is varying. This section explains about a closed loop control for the hybrid boost three level DC-DC converter – Oct 2016 Page 74 (by considering complementary actions in the total time period, equation in mode I is The energy transferred from the inductor, βˆ’ 1 Γ— 2 2) Γ— 2 2) Assuming the ideal case, energy transferred from the inductor will be equal to the energy Putting these equations together, 2) = d2.T. And also, . Therefore, 2) From the above equation, it is clear that extreme duty cycle for the switches are not needed for high voltage gain, it can be obtained from duty ratios close to 0.5. The duty ratio, the gain IV. CLOSED LOOP CONTROL For a given input, the required output can be obtained by switching with particular duty cycles. This is the open loop control. But for PV systems, input is always varying as the f sunlight varies continuously. So open loop control is not reliable, closed loop control is required to obtain constant output even if the input is varying. This section explains about a closed loop control for the DC converter.
  • 5. International Journal of Engineering and Techniques ISSN: 2395-1303 A. PWM STRATEGY The basic idea for the closed loop control implemented here is that changing the gain value for varying inputs to obtain a constant output. For that, duty cycles of the switching pulses are varied according to the change in input voltage. As there are 4 different gate signals, 4 different calculations are required from a single value. For that, a specific PWM strategy is proposed and it is explained below. Fig. 8 PWM Strategy Fig. 8 shows the PWM strategy. For making the calculations simple, the carrierwave taken is a triangular wave with peak amplitudes +1 and -1. d1, d2 are the duty cycles of Q1, Q2, Q respectively. For obtaining these gate signals, the carrier wave is compared with constant values c01, c02, c03 and c04 as shown in the figure. For making d1 - d4 and d complementary, c01 and c04 are equal values having opposite signs; same is the case for c - c03. When magnitude of carrierwave is greater than c01 and c04, gate signals for Q and Q4 are generated. When magnitude of carrierwave is less than c02 and c signals for Q2 and Q3 are generated, for giving a 180 degree shift. From the figure it is found that, 1 = 0.5 βˆ’ (0.5 Γ— 01) 4 = 0.5 (0.5 Γ— 04) The 4 gate signals must be generated with a single value control, say 'c', for reliable operation. For that the 4 constants c International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – http://www.ijetjournal.org The basic idea for the closed loop control implemented here is that changing the gain value for varying inputs to obtain a constant output. For that, duty cycles of the switching pulses are varied according to the e. As there are 4 different gate signals, 4 different calculations are required from a single value. For that, a specific PWM strategy is proposed and it is Fig. 8 shows the PWM strategy. For simple, the carrierwave taken is a triangular wave with , d2, d3 and d4 , Q3 and Q4 respectively. For obtaining these gate signals, the carrier wave is compared with constant as shown in the and d2 - d3 pairs are equal values having opposite signs; same is the case for c02 . When magnitude of carrierwave is , gate signals for Q1 are generated. When magnitude of and c03, gate are generated, for ) ) The 4 gate signals must be generated with a single value control, say 'c', for reliable operation. For that the 4 constants c01, c02, c03 and c04 must be given in terms of c. Assume c02 = c and c01 = 0.5c, c03 = -c and c So the above equations changes to, 1 = 0.5 βˆ’ (0.25 Γ— 4 = 0.5 βˆ’ (0.25 Γ— Then the equation for voltage gain changes to, = 1 1 βˆ’ ( 1 2) = 1 1 βˆ’ 0.5 βˆ’ (0.25 Γ— ) 0.5 = 4 3 The above equation shows that the voltage gain M can be adjusted by single value c, instead of adjusting the 4 gate signals separately. Here a carrierwave of peak +1 and -1 is taken. Practically it is available with logic 0 and 1 (0V and +5V). To consider these changes, the carrier waveform shown in figure 4.1 has to be proportionally shifted upwards to make the peak points 0 and +5. Then c01, c02, c03 and c04 to c1, c given below, 1 = 2.5 (1.25 Γ— 4 = 2.5 βˆ’ (1.25 Γ— Only the relation between c and individual constants changes due to proportional shifting. The voltage gain equation remains same, M = 4/(3c). For closed loop control, a relation between c and Vin has to be found. Looking into the gain equation, = 4 3 where k = 4/(3Vo). As output voltage has to be taken as constant, value of k will be constant. Thus a linear relationship between c and Vin is obtained. For the variations in input voltage, control can be implemented in this converter using this equation to get a constant output. Here ideal case is taken and a linear relationship between c and Vin with origin 0 is obtained. In practical case, the equation will have an additional intercept value. – Oct 2016 Page 75 must be given in terms of c. Assume c and c04 = -0.5c. hanges to, Γ— ) Γ— ) Then the equation for voltage gain changes to, 5 βˆ’ (0.5 Γ— ) The above equation shows that the voltage gain M can be adjusted by controlling single value c, instead of adjusting the 4 gate signals separately. Here a carrierwave of peak 1 is taken. Practically it is available with logic 0 and 1 (0V and +5V). To consider these changes, the carrier waveform shown in has to be proportionally shifted upwards to make the peak points 0 and +5. , c2, c3 and c4 as Γ— ) Γ— ) Only the relation between c and nts changes due to proportional shifting. The voltage gain equation remains same, M = 4/(3c). For closed loop control, a relation between c and Vin has to be found. Looking into the gain = 4/(3Vo). As output voltage has to be taken as constant, value of k will be constant. Thus a linear relationship between c and Vin is obtained. For the variations in input voltage, control can be implemented in this converter using this constant output. Here ideal case is taken and a linear relationship between with origin 0 is obtained. In practical case, the equation will have an
  • 6. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 76 V. SIMULATION MODEL AND RESULTS Simulation is done for both open loop and closed loop control. It is done with practical settings to get an idea of variation in ideal theoretical concepts and practical scenario. IGBTs are the controlled switches used for the simulation. For the open loop control, a PV system with 50V is taken as input. The converter has to boost it to 600V (M = 12). Maximum inductor current through the inductor is 50A. Load is 1k resistor. Switching frequency taken is 5kHz. Voltage gain M = 12, so constant c is, = 4 3 Γ— = 4 3 Γ— 12 = 1 9 Taking current ripple, Ξ”IL in the inductor as 7% of inductor current, = 0.07 Γ— = 0.07 Γ— 50 = 3.5 Taking output ripple, Ξ”Vo as 2% of output voltage, = 0.02 Γ— = 0.02 Γ— 600 = 12 Output current, Io is, = = 600 1000 = 0.6 For a boost converter, design equation for the boost inductor Lf is, = ( βˆ’ ) Γ— Γ— = 50(600 βˆ’ 50) 3.5 Γ— 5000 Γ— 600 = 2.6 The effective duty cycle for the converter, D is, = 1 βˆ’ 1 = 1 βˆ’ 1 12 = 0.9167 The output filter capacitor value, Cf is, = Γ— Γ— = 0.6 Γ— 0.9167 5000 Γ— 12 = 9.2Β΅ For the simulation model, round of values Lf = 5mA and Cf = 11Β΅F (Cf1 = Cf2 = 22Β΅F) are taken. The simulation parameters are shown in table 1. TABLE 1 Simulation Parameters The simulation diagram with the design values is shown in fig. 9 with the PWM strategy explained in last session. The waveforms of output voltage and inductor current is shown in fig. 10. The circuit was designed for 600V with ideal scenario but simulation results with settings of practical scenario shows an output of 578V. So the efficiency is Ι³ = 578/600 = 96.33%. The maximum inductor current taken for design was 50A and simulation result shows the steady-state inductor current around 25A. So it is under the limit. Waveforms of the half bridge output voltages Vag and Vbg, and the output voltage pulse Vab are shown in fig. 11. Each waveform has three levels of 0, Vo/2 and Vo. Fig. 9 Simulation Model for Open Loop Control
  • 7. International Journal of Engineering and Techniques ISSN: 2395-1303 Fig. 10 (a)Output Voltage Vo (b) Inductor current I The closed loop control is for 600V output voltage. Fig. 12 shows the variation made in c for different inputs to make the output at 600V in open loop control. It can be seen that there is a linear relationship between c and Vin. By verifying the axes points, equation for relationship is, = 0.0022 βˆ’ 0.0038 Fig. 11 Half Bridge Outputs and Output Voltage Pulse (a) V (c) Vab This equation is used for closed loop control. Figure 5.13 shows the simulation diagram for closed loop control. The simulation parameters are taken as same as that of open loop control, except the input voltage is switched alternatively at different intervals for showing the variation in input. Fig.14 shows the switching sequence for the input. The gate circuit for closed loop control is shown in fig. 15 Vin is taken and Fig. 12 (a) Table for Vin vs c (b) Graph showing Linear Relationship International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – http://www.ijetjournal.org (b) Inductor current IL The closed loop control is designed for 600V output voltage. Fig. 12 shows the variation made in c for different inputs to make the output at 600V in open loop control. It can be seen that there is a linear . By verifying the axes points, equation for this linear 0038 Fig. 11 Half Bridge Outputs and Output Voltage Pulse (a) Vag (b) Vbg This equation is used for closed loop control. Figure 5.13 shows the simulation diagram for closed loop control. The simulation parameters are taken as same as that of open loop control, except the input voltage is switched alternatively at different intervals for showing the variation in input. Fig.14 shows the switching sequence for the ed loop control is taken and vs c (b) Graph showing Linear Relationship converted to c value. c is again converted to individual constant values c1, c Then these values are compared with amplitude of carrierwave signal to generate various gate signals. As the input voltage changes, duty cycle of gate pulses change accordingly. Fig. 16 shows waveforms for V Vo and inductor current IL. Input voltage is varied from 40V to 50V and finally to 6 all cases, after some distortion in transient state, the value settles to 600V in steady state. Fig. 13 Simulation Diagram for Closed Loop Control Fig. 14 Switching Sequence for Input Voltages Fig. 15 Gate Circuit for Closed Loop Control Fig.16 Closed Loop Control (a) Input Voltage V Vo (c) Inductor Current IL VI. HARDWARE IMPLEMENTATION – Oct 2016 Page 77 converted to c value. c is again converted to , c2, c3 and c4. Then these values are compared with litude of carrierwave signal to generate various gate signals. As the input voltage changes, duty cycle of gate pulses change accordingly. Fig. 16 shows waveforms for Vin, . Input voltage is varied from 40V to 50V and finally to 60V. In all cases, after some distortion in transient state, the value settles to 600V in steady state. Fig. 13 Simulation Diagram for Closed Loop Control Fig. 14 Switching Sequence for Input Voltages Fig. 15 Gate Circuit for Closed Loop Control Fig.16 Closed Loop Control (a) Input Voltage Vin (b) Output Voltage VI. HARDWARE IMPLEMENTATION
  • 8. International Journal of Engineering and Techniques ISSN: 2395-1303 The laboratory hardware testing is done for the open loop control. Fig.17 shows the prototype. The input is 5V and output is 33.33V. Since it is a low power circuit, low rating MOSFETs IRF 540 are taken as controlled switches. The switching frequency is 5kHz. PIC 16F877A is programmed to generate the gate pulses to have voltage gain M = 20/3(this value was chosen as it is easy to program the corresponding gate pulses). The diodes are fast recovery diodes 1N4148. Converter circuit capacitors and inductor are chosen as per design values. Fig. 18 shows the input and output voltage waveform. Input was regulated DC voltage taken from AC mains using regulator IC 7805 and 4.92V DC was generated which is near to 5V. For this input a satisfactory output of 18.6V DC was obtained. This difference in practical value is due to the fact that there will be unavoidable circuit resistance drops and it also leads to unbalance in charging and discharging of the two capacitors. When the circuit is of low power, these errors become prominent. The efficiency was found to be 56%. Fig. 19 shows the three level operation. 19(a) shows waveform of Vag and Vbg, the output voltages of half bridges I and II respectively. Pulse V is shorter width than Vag. 19(b) shows V output voltage pulse, which is the difference of Vag and Vbg. Fig. 17 Experimental Setup International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – http://www.ijetjournal.org The laboratory hardware testing is done for the open loop control. Fig.17 shows the prototype. The input is 5V and output is 3V. Since it is a low power circuit, low rating MOSFETs IRF 540 are taken as controlled switches. The switching frequency is 5kHz. PIC 16F877A is programmed to generate the gate pulses to have voltage gain M = 20/3(this value was chosen as it is easy ogram the corresponding gate pulses). The diodes are fast recovery diodes 1N4148. Converter circuit capacitors and inductor are chosen as per design values. Fig. 18 shows the input and output voltage waveform. Input was regulated DC voltage taken from AC ains using regulator IC 7805 and 4.92V DC was generated which is near to 5V. For this input a satisfactory output of 18.6V DC was obtained. This difference in practical value is due to the fact that there will be unavoidable also leads to unbalance in charging and discharging of the two capacitors. When the circuit is of low power, these errors become prominent. The efficiency was found to be 56%. Fig. 19 shows the three level operation. 19(a) shows he output voltages of half bridges I and II respectively. Pulse Vbg . 19(b) shows Vab, the output voltage pulse, which is the difference Fig.18 (a)Vin (b)Vo Fig. 19 (a)Vag and Vbg (b)Vab VII. CONCLUSIONS The hybrid boost three converter is explained in this paper, based on the conventional single-phase diode clamped three-level inverter. It can not only operate with transformerless high voltage gain, but also make the duty cycles of the power switches closer to 0.5 with the increasing voltage gain, instead of the extreme duty cycles. Moreover, a flexible PWM switching strategy and closed loop control is explained. In the simulation of open loop control, circuit was designed to give an output of 600V for 50V input taking the ideal case. Simulation result shows an output of 578V, with an efficiency of 96.33. For the simulation of closed loop control, the switching pulse width is varied with change in input voltage to obtain a constant voltage. Simulation for closed loop control operation with input range 30V - 70V and output 600V has been done. It was observed that when there is abrupt change in input, after some distortion in the transient state, the output voltage set constant value in steady state. Laboratory experiment of the circuit with open loop control has been done. The circuit was designed for a gain of M = 20/3. For an input of 4.92V, the output was 18.6V with around 56% efficiency. So the efficiency higher for higher voltage levels as there will be unavoidable circuit resistance drops and it also leads to unbalance in charging and – Oct 2016 Page 78 Vab The hybrid boost three-level DC-DC converter is explained in this paper, based on phase diode clamped level inverter. It can not only operate with transformerless high voltage gain, but he duty cycles of the power switches closer to 0.5 with the increasing voltage gain, instead of the extreme duty cycles. Moreover, a flexible PWM switching strategy and closed loop control is explained. In the simulation of open loop control, circuit esigned to give an output of 600V for 50V input taking the ideal case. Simulation result shows an output of 578V, with an efficiency of 96.33. For the simulation of closed loop control, the switching pulse width is varied with change in input voltage to tain a constant voltage. Simulation for closed loop control operation with input range 70V and output 600V has been done. It was observed that when there is abrupt change in input, after some distortion in the transient state, the output voltage settles to a constant value in steady state. Laboratory experiment of the circuit with open loop control has been done. The circuit was designed for a gain of M = 20/3. For an input of 4.92V, the output was 18.6V with around 56% efficiency. So the efficiency will be higher for higher voltage levels as there will be unavoidable circuit resistance drops and it also leads to unbalance in charging and
  • 9. International Journal of Engineering and Techniques - Volume 2 Issue 5, Sep – Oct 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 79 discharging of the two capacitors and for the low power circuit, these errors become prominent. REFERENCES 1. Yun Zhang, Jian-Tao Sun, and Yi-Feng Wang, "Hybrid Boost Three-Level DC-DC Converter With High Voltage Gain for Photovoltaic Generation Systems", IEEE Transactions on Power Electronics, vol. 28, no. 8, August 2013. 2. W. Li and X. He, "Review of nonisolated high-step- up DC/DC converters in photovoltaic grid- connected applications", IEEE Transactions Ind. Electron., vol. 58, no. 4, pp. 12391250, Apr. 2011. 3. Shih-Ming Chen, Tsorng Liang, Lung Yang and Jiann Chen, "A Safety Enhanced High Step-Up DCDC Converter for AC Photovoltaic Module Application", IEEE Transactions on Power Electronics, vol. 27, no. 4, April 2012. 4. Wuhua Li, Yi Zhao, Jiande Wu, and Xiangning He, "Interleaved High Step-Up Converter With Winding-Cross-Coupled Inductors and Voltage Multiplier Cells", IEEE Transactions On Power Electronics, vol. 27, no. 1, January 2012. 5. X. Ruan, B. Li, Q. Chen, S. Tan and C. K. Tse, "Fundamental considerations of three-level DC-DC converters: Topologies, analyses, and control", IEEE Transactions Circuits Syst. I, Reg. Papers, vol. 55, no. 11, pp. 37333743, December 2008. 6. G. Acciari, D. Graci, and A. L. Scala, "Higher PV module efficiency by a novel CBS bypass", APEC 2001. IEEE Transactions in Power Electronics, vol. 26, no. 5, pp. 13331336, May 2011. 7. Y. Zhang and L. Sun, , "An efficient control strategy for a five-level inverter comprising flying- capacitor asymmetric H-bridge", APEC 2001. IEEE Trans. Ind. Electron , vol. 58, no. 9, pp. 40004009, Sep. 2011.