5 a new technique of pwm boost inverter for solar home application

BRAC University Journal, Vol. IV, No. 1, 2007, pp. 39-45
A NEW TECHNIQUE OF PWM BOOST INVERTER FOR SOLAR
HOME APPLICATION
Rafia Akhter
Department of Electrical & Electronic Engineering, BUET
Dhaka, Bangladesh.
Email: shima133@yahoo.com
ABSTRACT
This paper analyzes the procedural approach and benefits of applying optimization techniques to
the design of a boost dc-ac converter with solar cell as an input. The analysis is performed based on
the particular 12V DC to 220 V AC conversion for home applications. A traditional design
methodology is the use of buck inverter. One of the characteristics of the most classical inverter is
that it produces an AC output instantaneous voltage always lower than the DC input voltage. Thus,
if an output voltage higher than the input one is needed, a boost dc-dc converter must be used
between the DC source and the inverter. This paper describes a new P.W.M. strategy for a voltage
source inverter. This modulation strategy reduces the energy losses and harmonics in the P.W.M.
voltage source inverter. This technique allows the P.W.M. voltage source inverter to become a new
feasible solution for solar home application.
Key words: Boost Inverter, PWM, duty cycle, solar cell and inverter.
I. INTRODUCTION
Solar Cells supply electric energy renewable from
primary resources. Solar cells are rarely used
individually. Cells with similar characteristics are
under peak sunlight (1 W/m2
) the maximum
current delivered by a cell is approximately 30
mA/cm2
. Cells are therefore paralleled to obtain the
desired current [1]. So, it can charge a battery up to
12 volt DC. For residential use, all equipments
require a pure sinusoidal 220V ac power supply.
For this a static DC-AC converter is inserted
between the solar cells and the distribution
network. DC to AC conversion has been
established as one of the most common operations
in power electronics. The solar cell transforms the
light energy into continuous electric energy. It
represents a source with a good energy density.
From an electric point of view, the solar cell is
considered as a voltage source. This source is
nevertheless imperfect. Therefore it is necessary to
insert an inverter between the solar cell and the
network in order to obtain the alternating electric
source, assuming the transfer of light energy to the
network. One of the characteristics of the most
classical inverter is that it produces an AC output
instantaneous voltage always lower than the DC
input voltage [2]. Thus, if an output voltage higher
than the input one is needed, a boost dc-dc
converter must be used between the DC source and
the inverter. Depending on the power and voltage
levels involved, this solution can result in high
volume, weight, cost and reduced efficiency. The
full-bridge topology can, however, be used as a
boost inverter that can generate an output ac
voltage higher than the input dc voltage [3].
II.I PHOTOVOLTAIC SYSTEM
Photovoltaic is the art of converting sunlight
directly into electricity using solar cells. A silicon
solar cell is a diode formed by joining p-type
(typically boron doped) and n-type (typically
phosphorous doped) silicon. Light shining on such
a cell can behave in a number of ways as illustrated
in figure 1 and the behavior of light shining on
solar cell is shown in figure 2. It has six properties.
To maximize the power rating of a solar cell, it
must be designed so as to maximize desired
absorption (3) and absorption after reflection (5).
1. Reflection and absorption at top contact;
2. Reflection at cell surface;
3. Desired absorption;
4. Reflection from rear out of cell-weakly
absorbed light only;
5. Absorption after reflection;
6. Absorption in rear contact.

Rafia Akhter
40
Figure 1. Diagram of a photovoltaic cell.
Figure 2. Behavior of light shining on solar cell
II.II PV CELL INTERCONNECTION AND
MODULE DESIGN
Solar cells are rarely used individually. Rather,
cells with similar characteristics are connected and
encapsulated to (arrays) which, in turn, are the
basic building blocks of solar arrays. Usually about
36 cells are used for a nominal 12 V charging
system.
Figure 3. Cells in series and in parallel.
III. DESCRIPTION OF THE CIRCUIT
A. Boost Inverter:
Figure 4. Circuit used to generate an AC voltage larger
than DC input voltage
The typical single phase VSI uses the topology
which has the characteristic that the average output
voltage is always lower than the input dc voltage.
Thus if an output voltage higher than the input one
is needed, a boost dc-dc converter must be used
between the dc source inverter, shown in figure 4.
Depending on the power and voltage levels
involved, this solution can result in high volume,
weight, cost and reduced efficiency. The full bridge
topology can, however, be used as a boost inverter
that can generate an output ac voltage than the
input dc voltage 4,5].
B. Basic Principle:
Let us consider two dc-dc converters feeding a
resistive load R as shown in figure 5a.The two
converters produces dc-biased sine wave output
such that each source only produces a unipolar
voltage as shown in figure 5b. The modulation of
each converter is 180 degrees out of phase with the
other so that the voltage excursion across the load
is maximized. Thus, the output voltage of the
converters are described by
)
(
sin
)
(
sin
ii
wt
V
V
v
i
wt
V
V
v
m
dc
b
m
dc
a
L
L
L
L
L
L
L
L
−
=
+
=
Thus, the output voltage is sinusoidal as given by
)
(
sin
2 iii
wt
V
v
v
v m
b
a
o L
L
L
=
−
=
L
1 2
+
-
+
-
R
+ Vo -
+
-
+
-
C
Boost
DC-DC
Converter
+
-
+
-
+
-
+
-
Vin
+
-
+
-
+
-
+
-

A new technique of PWM Boost Inverter for solar home application
41
Thus, a dc bias voltage appears at each end of the
load with respect to ground, but the differential dc
voltage across the load is zero.
C. Principle of Boost Inverter
Each converter is a current bidirectional boost
converter as shown in figure 5a. .The boost
inverter consists of two boost converters as shown
in fig.5b. The output of the inverter can be
controlled by one of the two methods: (1) use a
duty cycle D for converter A and a duty cycle of
(1- D) for converter B or (2) use a differential
duty cycle for each converter such that each
converter produces a dc-biased sine wave output.
The second method is preferred and it uses
controllers A and B to make the capacitors voltage
1
v and 2
v follow a sinusoidal reference voltage.
Figure 5a
Figure 5b
Figure 5. Principle of boost inverter
Figure 6a. The current bi-directional boost converter
Figure 6b. The proposed DC-AC boost converter
D. Circuit operation
The operation of the Inverter can be explained by
considering one converter A only as shown in
figure 7.There are two modes of operation: mode 1
and mode 2.
Figure 7. Equivalent circuit for the boost inverter
Mode 1: When the switch S1 is closed and S2 is
open as shown in fig.8a ,current iL1 rises quite
linearly, diode D2 is reverse polarized, capacitor C1
+
+
Vb converter B
0
Va
converter A
load
_ _
_
C
+
-
+
-
V1
_
+
Vin
L
1 2
+
-
+
-
+
-
+
-
S1
+
-
+
-
S4
L2
1 2
C1
V1
D1 D3
D4
Vin
R
+ Vo -
+
-
+
-
S2
D2
C2 V2
+
-
+
-
S3
L1
1 2
+
-
+
-
S1
D2
D1
_
+
V2
Vin
R
+ Vo -
+
-
+
-
S2
L1
1 2 C V1

Rafia Akhter
42
supplies energy to the output stage, and voltage V1
decreases.
Mode 2: When switch S1 is open and S2 is closed as
shown in fig.8b ,current iL1 flows through capacitor
and the output stage. The current iL1 decreases
while capacitor C1 is recharged.
Figure 8a. Mode 1: S1 is closed and S2 is open
Figure 8b. Mode 2: S1 is open and S2 is closed
The average output of converter A, which operates
under the boost mode, can be found from
)
(
1
1
1
iv
D
V
V
in
L
L
L
L
−
=
The average output of converter B , which operates
under the buck mode, can be found from
)
(
1
2
v
D
V
V
in
L
L
L
L
L
=
Therefore, the average output voltage is given by
)
(
1
2
1 vi
D
V
D
V
V
V
V in
in
o L
L
−
−
=
−
=
This gives the dc gain of the boost inverter as
)
(
)
1
(
1
2
vii
D
D
D
V
V
G
in
o
dc L
L
−
−
=
=
where D is the duty cycle. It should be noted that
0
V becomes zero at D=0.5. If the duty cycle D is
varied around the quiescent point of 50% duty
cycle, there is an ac voltage across the load.
Because the output voltage in equation in (iii) is
twice the sinusoidal component of converter A, the
peak output voltage equals to
(viii)
2
2
2 1
)
( L
L
L
dc
m
pk
o V
V
V
V −
=
=
Because a boost converter cannot produce an
output voltage lower than the input voltage, the dc
component must satisfy the condition
)
( in
m
dc V
V
V +
≥
Which implies there are many possible values
of dc
V . However, the equal term produces the least
stress on the devices. From the equation (iv), (vii)
and (viii), we get
)
2
(
2
1
2 )
(
)
( in
pk
o
in
pk
o V
V
D
V
V +
−
−
= .
It gives the ac voltage gain
D
D
V
V
G
in
pk
o
ac
−
=
=
1
)
(
Thus , )
( pk
o
V becomes in
V at D=0.5.
IV. CIRCUIT SIMULATIONS AND RESULTS
Fig. 9 shows the conversion structure proposed in
this paper. It consists of the cascade connection of
two stages. The first stage is a boost-regulator and
the second stage is the boost inverter.
Figure 9. The conversion structure from solar cell to
home
A. System description
The boost dc–ac converter is shown in Fig. 10. It
includes dc supply voltage Vin, input inductors L1,
V2
L1
Ra
C1 V1
Vin
R1
+ Vo -
V2
L1
Ra
C1 V1
Vin
R1
+ Vo -
Boost
Boost
Solar cell 12Vdc
Application
Home
AC
Regulator
Inverter

43
L2 and L3, power switches S1 – S5, transfer
capacitors C1 – C3, free-wheeling diodes D1-D5
and load resistance R .The principal purpose of the
controllers A and B is to make the capacitor
voltages V1 and V2 follow as faithfully as possible
a sinusoidal reference. The operation of the boost
inverter is better understood through the current
bidirectional boost dc–dc converter shown in Fig.
7. In the description of the converter operation, we
assume that all the components are ideal and that
the converter operates in a continuous conduction
mode. Fig. 8 shows two topological modes for a
period of operation.
B. Control design methodology
In the design of the converter, the following are
assumed:
• ideal power switches;
• power supply free of sinusoidal ripple;
• converter operating at high-switching
frequency.
C. Selection of control parameters
Once the boost inverter parameters are selected,
inductances L1, L2 and L3 are designed from
specified input and output current ripples,
capacitors C1 – C3 are designed so as to limit the
output voltage ripple in the case of fast and large
load variations, and maximum switching frequency
is selected from the converter ratings and switch
type.
Figure 10 a.
V. SIMULATION AND EXPERIMENTAL
RESULTS
The parameters of the circuit for fig. 10 are as
follows:
S1 – S5 : IRGBC40U (IGBT);
D1-D5 : MUR850 (diodes);
C1-C2- C3 : 400 uF
L1 -L2-L3 : 10 mH
Frequency, f=50Hz.
R= 200 ohm
Vin = 12 Vdc
Vout = 220 Vac
VI. CONCLUSION
This paper presents a new type of DC - AC
converter, referred to as boost inverter. The active
switches (IGBT’s) are operated at a fixed
frequency with the duty cycle around 50 %, which
allows the use of a simple gate drive. From the
circuit operation it is shown that it takes 423 ms to
achieve 220V AC. The new inverter is applicable
in UPS design, whenever a AC voltage larger than
the DC link voltage is needed, with no need of a
second power conversion stage. This circuit
arrangement is better for solar cell to home
application. Reviewing the proposal and
contributions made in this paper, we can suggest
some future works to be done to achieve the same
or related goals.
V5
TD = 0
TF = .001ms
PW = .001ms
PER = .25ms
V1 = 10
TR = .248ms
V2 = -10
VCC-
VCC
0
U6A
AD648C
3
2
8
4
1
+
-
V+
V-
OUT
V3
15Vdc
U4A
AD648C
3
2
8
4
1
+
-
V+
V-
OUT
VCC-
U7A
AD648C
3
2
8
4
1
+
-
V+
V-
OUT
R3
10k
VCC
0
V2
15Vdc
VCC-
VCC
S1
0
VCC-
V10
FREQ = 50
VAMPL = 7
VOFF = 0
0
S2
VCC
R2
10k

Rafia Akhter
44
Figure 10b
Figure 10 c
Figure 10. (a) Gate signal in circuital, (b) Boost Inverter using boost regulator as DC input and (c) AC wave shape
+
-
+
-
S3
S
VON = 3V
VOFF = 2V
L3
V1
TD = 0
TF = .001m
PW = .1m
PER = .25m
V1 = -10
TR = .001m
V2 = 10
+
-
+
-
S1
S
VON = 3.0V
VOFF = 2.0V
V-
0
S2
+
-
+
-
S4
S
VON = 3V
VOFF = 2V
D7
0
D12
D1N1190
D8
0
0
D9
C2
R1
Vout
0
S1
C3
D11
D1N1190
+
-
+
-
S2
S
VON = 3.0V
VOFF = 2.0V
S2
D3
Vin
+
-
+
-
S5
S
VON = 3.0V
VOFF = 2.0V
D10
0
V+
L2
D5
S1
L1
D4
D6
C1

45
• Research can be done on minimizing the
time to achieve the desired sinusoidal
values.
• Research can be done on minimizing the
capacitor current spikes in the inverter
circuit.
REFERENCES
[1] Photovoltaic Panel Simulation User’s Guide,
Educational Bookmarks, Australian
Cooperative Research Centre for Renewable
Energy (ACRE), August 14—1998
[2] C. Cecati, A. Dell’ Aquila and M. Liserre , “
Analysis and control of a three-phase dc/ac
step-up converter”, in proc. IEEE ISIE’02
Conf., pp. 850-856,July 2002.
[3] Rafia Akhter, Aminul Hoque, “Analysis of a
PWM Boost Inverter for solar home
application”, CISE 2006, International
Conference, Enformatika, Volume 17,
December 2006, ISSN 1305-5313, pp.212-216
[4] Ram´on O. C´aceres, Ivo Barbi,” A Boost DC–
AC Converter: Analysis, Design, and
Experimentation”, IEEE transactions on
power electronics, vol. 14, pp. 134-141,
January 1999.
[5] R. C´ aceres and I. Barbi, “A boost dc–ac
converter: Operation, analysis, control and
experimentation”, in Proc. Int. Conf. Industrial
Electronics, Control and Instrumentation
(IECON’95), pp. 546–551, Nov. 1995.

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