[Codientu.org] design of a charge controller circuit

Design of a Charge Controller Circuit
with Maximum Power Point Tracker
(MPPT) for Photovoltaic System
A Thesis submitted to the
Dept. of Electrical & Electronic Engineering, BRAC University in
partial fulfillment of the requirements for the Bachelor of Science
degree in Electrical & Electronic Engineering
Shusmita Rahman 10321065
Nadia Sultana Oni 10321060
Quazi Abdullah Ibn Masud 10221074
December 15, 2012

Declaration
We do hereby declare that the thesis titled “Design of A battery charge controller with
maximum power point tracker (MPPT) for solar home system” submitted to the
Department of Electrical and Electronics Engineering of BRAC University in partial
fulfillment of the Bachelor of Science in Electrical and Electronics Engineering. This is
our original work and was not submitted elsewhere for the award of any other degree or
any other publication.
Date: 15.12.2012
Supervisor
Dr. Mossaddekur Rahman
Shusmita Rahman
10321065
Nadia Sultana Oni
10321060
Quazi Abdullah Ibn Masud
10221074

Acknowledgement
We would firstly like to acknowledge our supervisor, Dr. Mossaddequr Rahman. We are
grateful to him for his guidance and kind advice. He helped us by giving various ideas
and taught many basics about solar cells and power electronics. Without his help we
would not have been possible for us to implement and present this project.
We are indebted to Mrs. Amina Abedin for her guidance in preparing the simulations.
Also, we would like to thank Jonayet Hossain for his support in software development.
We are also grateful to faculty memebrs Rachaen Mahfuz Haque and Syed Sakib. We are
thankful to Marzuq Rahman, Asad Bhai of CARG and Raktim Kumar Mondol for their
patience and understanding.
Finally, we would like to thank our respective families for their constant encouragement
and support.
I

Abstract
This thesis, aim to design and simulation of a simple but effective charge controller with
maximum power point tracker for photovoltaic system. It provides theoretical studies of
photovoltaic systems and modeling techniques using equivalent electric circuits. As, the
system employs the maximum power point tracker (MPPT), it is consists of various
MPPT algorithms and control methods. P-Spice and MATLAB simulations verify the
DC-DC converter design and hardware implementation. The results validate that MPPT
can significantly increase the efficiency and the performance of PV.
II

Table of Contents
Acknowledgement………………………………………………………………....I
Abstract……………………………………………………………………………II
Table of content list………………………………………………………………III
Table list……………………………………………………………………….......IV
Figure list…………………………………………………………………………..IV
1. INTRODUCTION………………………………………………………….....1
1.1 System description……………………………………………………2
1.2 Thesis organization…………………………………………………...6
2. SOLAR CELLS AND THEIR CHARECTERISTICS………….…………..8
2.1 Introduction……………………………………………………………8
2.2 Structure of photovoltaic cell………………………………………….8
2.3 Photovoltaic modules/ array…………………………………………..10
2.4 Photovoltaic cell model……………………………………………….11
2.5 I-curve with load resistor……………………………………………...15
2.6 Effect of solar irradiance on MPP…………………………………......18
2.7 Effect of varying temperature on MPP………………………………...20
3. MAXIMUM POWER POINT TRACKER (MPPT)………………………23
3.1 Introduction………………………………………...............................23
3.2 Maximum power point tracking ……………………………………...23
3.3 Methods of MPPT algorithms…………………………………….......24
3.3.1 Constant voltage method……………………………………………...24
3.3.2 Open Circuit Voltage method………………………………………....25
3.3.3 Short Circuit Current………………………………………………….25
3.3.4 Incremental Conductance method…………………………………….26
3.3.5 Perturb and Observe method………………………………………….29
3.4 Techniques for minimization……………………………………...........33
3. Control technique………………………………………………..…….33
4. DC-DC CONVERTER………………………………………………………….35
4.1 Introduction……………………………………………………………..35
III

4.2 Topology………………………………………………………………..35
4.3 Buck-boost converter……………………………………………….......37
4.3.1 Continuous conduction mode..................................................................38
4.3.2 Discontinuous conduction mode………………………………………..39
4.4 Sepic converter………………………………………………………….40
4.4.1 Continuous mode.....................................................................................40
4.4.2 Discontinuous mode…………………………………………………….42
4.5 Cuk DC-DC converter…………………………………………………..43
4.5.1 Circuit Description and Operation……………………………………...43
5 THE PROPOSED CHARGE CONTROLLER ………………………….....53
5.1 Microcontroller and Voltage Regulator…………………………………..53
5.2 Analog to Digital Conversion (ADC)…………………………………….54
5.3 Pulse Width Modulation………………………………………………….56
5.4 Battery Discharging……………………………………………………….57
5.5 Design Functions………………………………………………………….58
6. CONCLUSION
6.1 Summary…………………………………………………………………..61
6.2 Concluding remarks..............................................................................…...62
References………………………………………………………………………………63
Table List
Table Page
Table 2.1 Conditions for MATLAB simulation…………………………………..13
Table 3.1 P&O method’s efficiency during several conditions……………...........32
Table 4.1 Table for varying duty cycle of Cuk converter…………………………52
Figure List
Figures Page
Figure: 1.1 Block Diagram of the System…………………………………………......2
Figure: 2.1 p-n junction of the PV cell………………………………………………..9
Figure 2.2: (a) PV cell, (b) PV module, (c) PV array…...…………………………….11
Figure: 2.3 PV cell with its equivalent electric circuit………………………………..12
Figure: 2.4 (a) Short circuit current and (b) Open circuit Voltage……….…...………12
Figure: 2.5 I-V and P-V characteristic of a PV cell…………. ………………………14
Figure: 2.6 PV Module is directly connected to a (variable) resistive load…………..15
IV

Figure: 2.7 I-V curve for difference resistive load…………………………………...16
Figure: 2.8 PV with Load………………………………….………………………….17
Figure 2.9: I-V curve with different irradiance………………………………….…....19
Figure: 2.10 P-V curves with different irradiance……..………………………………19
Figure: 2.11 I-V curve for varying temperature………….…………………………….21
Figure: 3.1 P-V curve and IncCond algorithm………………………………………..27
Figure: 3.2 The Flowchart of IncCond method………………………………………28
Figure: 3.3 Output power using P&O algorithm………..……………………………29
Figure: 3.4 Perturb and Observe algorithm flow chart……………………………….31
Figure: 4.1 Basic schematic of buck-boost converter…………….………………….37
Figure: 4.2 Continuous mode operation (buck-boost) converter………………….....38
Figure: 4.3 Discontinuous mode operations. (buck-boost) converter........... …...........39
Figure: 4.4 Diagram for a basic SEPIC converter…………………………………....40
Figure: 4.5 Switch Close (SEPIC converter)…...…………………………………….41
Figure: 4.6 Switch Open (SEPIC converter)………………………………………….42
Figure: 4.7 Diagram of a Cuk circuit………………………………………………....44
Figure: 4.8 Switch Off (Cuk circuit)………………………………………………….44
Figure: 4.9 Switch On (Cuk circuit)......................................................................…...45
Figure: 4.10 Variation of Inductor (L1/L2) size with Frequency………………………48
Figure: 4.11 Variation of C1 size with frequency ……………………………………..48
Figure: 4.12 Variation of C2 size with frequency……………………………………...48
Figure: 4.13 Variations in Output Voltage with Frequency…………………………...49
Figure: 4.14 Curve for Vo-D, obtained by P-Spice Simulation………………………..50
Figure: 4.15 P-Spice Cuk Circuit……………………………………………………...50
Figure: 4.16 Simulated Output Voltages……………………………………………...51
Figure: 4.17 Curve for Vo-D, obtained by hardware implementation…………………52
Figure: 5.1 Voltage Regulator (LM 7805) connected to the RESET (pin 1)………....54
Figure: 5.2 Voltage sensing circuit diagram..........................................................…...55
Figure: 5.3 Current sensing circuit diagram……………….……………………….....56
Figure: 5.4 Switching operation of the charging process from the panel to the battery
By using cuk converter…………………………………………………...57
Figure: 5.5 Relay coil……………..………………………………………………….58
Figure: 5.6 Battery discharging operation of the circuit.......................................…....58
Figure: 5.7 Charge controller design schematic………………………………...…….59
V

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Chapter 1
Introduction
Solar energy is one of the most important renewable energy sources that have been gaining
increased attention in recent years. Solar energy is plentiful; it has the greatest availability
compared to other energy sources. The amount of energy supplied to the earth in one day by the
sun is sufficient to power the total energy needs of the earth for one year. Solar energy is clean
and free of emissions, since it does not produce pollutants or by-products harmful to nature. The
conversion of solar energy into electrical energy has many application fields.
Solar to electrical energy conversion can be done in two ways: solar thermal and solar
photovoltaic. Solar thermal is similar to conventional AC electricity generation by steam turbine
excepting that instead of fossil fuel; heat extracted from concentrated solar ray is used to produce
steam and apart is stored in thermally insulated tanks for using during intermittency of sunshine
or night time. Solar photovoltaic use cells made of silicon or certain types of semiconductor
materials which convert the light energy absorbed from incident sunshine into DC electricity. To
make up for intermittency and night time storage of the generated electricity into battery is
needed.
Recently, research and development of low cost flat-panel solar panels, thin-film devices,
concentrator systems, and many innovative concepts have increased. In the near future, the costs
of small solar-power modular units and solar-power plants will be economically feasible for
large-scale production and use of solar energy.
In this paper we have presented the photovoltaic solar panel’s operation. The foremost way to
increase the efficiency of a solar panel is to use a Maximum Power point Tracker (MPPT), a
power electronic device that significantly increases the system efficiency. By using it the system
operates at the Maximum Power Point (MPP) and produces its maximum power output. Thus, an
MPPT maximizes the array efficiency, thereby reducing the overall system cost.

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In addition, we attempt to design the MPPT by using the algorithm of a selected MPPT method
which is “Perturb and Observe” and implement it by using a DC- DC Converter. We have found
various types of DC-DC converter. Among them we have selected the most suitable converter
which is “CUK” converter, for our design.
PV generation systems generally use a microcontroller based charge controller connected to a
battery and the load. A charge controller is used to maintain the proper charging voltage on the
batteries. As the input voltage from the solar array, the charge controller regulates the charge to
the batteries preventing any overcharging. So a good, solid and reliable PV charge controller is a
key component of any PV battery charging system to achieve systems maximum efficiency.
Whereas microcontroller based designs are able to provide more intelligent control and thus
increases the efficiency of the system.
1.1 System Description
PV
Array
DC-DC
Converter Battery
Power
Calculation
MPPT
Algorithm
PWM Charge
Controller
V Sensor I Sensor
V Sensor
I Sensor
Figure: 1.1 Block Diagram of the System

3
A detailed block diagram of the system is shown in Figure: 1.1 which consists of following
major components:
a) Solar panel
b) Battery
c) Charge Controller
d) Maximum Power Point Tracker
e) DC-DC converter
A brief description of each of the system components is given below,
a) Solar Panel
A solar panel is a packaged connected assembly of photovoltaic cells. The solar panel can be
used as a component of a larger photovoltaic system to generate and supply electricity in
commercial and residential applications.
Solar panels use light energy photon from the sun to generate electricity through the photovoltaic
effect. The majority of modules use wafer based cells or thin film cells based on non-magnetic
conductive transition metals, telluride or silicon. Electrical connections are made in series to
achieve a desired output voltage and or in parallel to provide a desired current capability. The
conducting wires that take the current off the panels may contain silver, copper or other non-
magnetic conductive transition metals. The cells must be connected electrically to one another
and to the rest of the system. Each panel is rated by its DC output power under standard test
conditions, and typically ranges from 100 to 320 watts.
Depending on construction, photovoltaic panels can produce electricity from a range of light
frequencies, but usually cannot cover the entire solar range (specifically, ultraviolet and low or
diffused light). Hence, much of the incident sun light energy is wasted by solar panels, and they
can give far higher efficiencies if illuminated with monochromatic light.
The advantages of solar panels are,
 They are the most readily available solar technology.
 They can last a lifetime.

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 They are required little maintenance.
 They operate best on bright days with little or no obstruction to incident sunlight.
b) Battery
In stand-alone photovoltaic system, the electrical energy produced by the PV array cannot
always be used when it is produced because the demand for energy does not always coincide
with its production. Electrical storage batteries are commonly used in PV system. The primary
functions of a storage battery in a PV system are:
1) Energy Storage Capacity and Autonomy: to store electrical energy when it is produced by
the PV array and to supply energy to electrical loads as needed or on demand.
2) Voltage and Current Stabilization: to supply power to electrical loads at stable voltages
and currents, by suppressing or smoothing out transients that may occur in PV system.
3) Supply Surge Currents: to supply surge or high peak operating currents to electrical loads
or appliances.
c) Charge Controller
A charge controller or charge regulator limits the rate at which electric current is added to or
drawn from electric batteries. It prevents overcharging and may prevent against overvoltage,
which can reduce battery performance or lifespan, and may pose a safety risk. It may also
prevent completely draining ("deep discharging") a battery, or perform controlled discharges,
depending on the battery technology, to protect battery life.
In simple words, Solar Charge controller is a device, which controls the battery charging from
solar cell and also controls the battery drain by load. The simple Solar Charge controller checks
the battery whether it requires charging and if yes it checks the availability of solar power and
starts charging the battery. Whenever controller found that the battery has reached the full
charging voltage levels, it then stops the charging from solar cell. On the other hand, when it
found no solar power available then it assumes that it is night time and switch on the load. It

5
keeps on the load until the battery reached to its minimum voltage levels to prevent the battery
dip-discharge. Simultaneously Charge controller also gives the indications like battery dip-
discharge, load on, charging on etc.
In this thesis we are using microcontroller based charge controller. Microcontroller is a kind of
miniature computer containing a processor core, memory, and programmable input/output
peripherals. The Functions of a microcontroller in charge controller are:
 Measures Solar Cell Voltage.
 Measures Battery Voltage.
 Decides when to start battery charging.
 Decides when to stop battery charging.
 Decides when to switch on the load.
 Decides when to switch odd the load.
Most importantly in this thesis, microcontroller also tracks the MPP of the output power.
d) Maximum Power Point Tracker
The maximum power point tracker (MPPT) is now prevalent in grid-tied PV power system and is
becoming more popular in stand-alone systems. MPPT is a power electronic device
interconnecting a PV power source and a load, maximizes the power output from a PV module
or array with varying operating conditions, and therefore maximizes the system efficiency.
MPPT is made up with a switch-mode DC-DC converter and a controller. For grid-tied systems,
a switch-mode inverter sometimes fills the role of MPPT. Otherwise, it is combined with a DC-
DC converter that performs the MPPT function.
This thesis, therefore, chooses a method Perturb and Observe algorithm for digital control for
MPPT. The design and simulations of MPPT will be done on the premise that is going to be built
with a microcontroller.

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e) DC-DC Converter
DC-DC converters are power electronic circuits that convert a dc voltage to a different dc
voltage level, often providing a regulated output.
The key ingredient of MPPT hardware is a switch-mode DC-DC converter. It is widely used in
DC power supplies and DC motor drives for the purpose of converting unregulated DC input into
a controlled DC output at a desired voltage level. MPPT uses the same converter for a different
purpose, regulating the input voltage at the PV MPP and providing load matching for the
maximum power transfer.
There are a number of different topologies for DC-DC converters. In this thesis we are using
CUK dc-dc converter as it is obtained by using the duality principle on the circuit of a buck-
boost converter.
MPPT is one of many applications of power electronics, and it is a relatively new area. This
thesis investigates it in detail and provides better explanations. In order to understand and design
MPPT, it is necessary to have a good understanding of the behaviors of PV. The thesis facilitates
it using MATLAB models of PV cell and module. The other things such as DC-DC converter,
microcontroller based charge controller are also explained elaborately.
1.2 Thesis Organization:
The thesis is organized in an order such as to provide the readers with a general understanding of
the different components present in the photovoltaic battery charging system with maximum
power point tracker, before moving on to the details specific to the project. The following
chapter discusses the basic theory of PV cells using simple diode model, I-V characteristics, the
concept of maximum power point (MPP) and how the MPP varies under different illumination
and temperature conditions. This chapter also explains how maximum power transfer can be
realized with buck-boost converter along with a maximum power point tracker. These general
discussions are followed by the chapter (chapter 3) which details the comparison of different

7
methods, namely the constant voltage, constant current, incremental conductance and perturb and
observe, to determine and track the MPP. Chapter 4 provides a detailed description, design and
implementation of a buck-boost (Cuk) converter with complete simulation and experimental
results. Chapter 5 gives a detailed explanation of how the charge controller with MPPT can be
implemented. It includes the circuit diagrams and explanation to build the system. The thesis
ends with the concluding chapter that discusses future aspects of this project.

8
Chapter 2
Solar Cells and their Characteristics
2.1 Introduction
Photovoltaic or solar cells, at the present time, furnish one of the most-important long-
duration power supplies. This cell is considered a major candidate for obtaining energy from
the sun, since it can convert sunlight directly to electricity with high conversion efficiency. It
can provide nearly permanent power at low operating cost, and is virtually free of pollution.
Since a typical photovoltaic cell produces less than 3 watts at approximately 0.5 volt dc, cells
must be connected in series-parallel configurations to produce enough power for high-power
applications. Cells are configured into module and modules are connected as arrays. Modules
may have peak output powers ranging from a few watts, depending upon the intended
application, to more than 300 watts. Typical array output power is in the 100-watt-kilowatt
range, although megawatt arrays do exist.
Photovoltaic cells, like batteries, generate direct current (DC), which is generally used for
small loads (electronic equipment). When DC from photovoltaic cells is used for commercial
applications or sold to electric utilities using the electric grid, it must be converted to
alternating current (AC) using grid inverters, solid-state devices that convert DC power to
AC.
2.2 Structure of Photovoltaic Cells
A photovoltaic (PV) cell converts sunlight into electricity, which is the physical process
known as photoelectric effect. Light which shines on a PV cell, may be reflected, absorbed,
or passed through; however, only absorbed light generates electricity. The energy of
absorbed light is transferred to electrons in the atoms of the PV cell. With their newfound
energy, these electrons escape from their normal positions in the atoms of semiconductor PV
material and become part of the electrical flow, or current, in an electrical circuit. A special

9
electrical property of the PV cell, called “built-in electric field,” provides the force or voltage
required to drive the current through an external “load” such as a light bulb.
To induce the built-in electric field within a PV cell, two layers of different semiconductor
materials are placed in contact with each other. One layer is an “n-type” semiconductor with
an abundance of electrons, which have a negative electrical charge. The other layer is a “p-
type” semiconductor with an abundance of holes, which have a positive electrical charge.
Although both materials are electrically neutral, n-type silicon has excess electrons and p-
type silicon has excess holes. Sandwiching these together creates a p-n junction at their
interface, thereby creating an electric field. Figure: 2.1 shows the p-n junction of a PV cell.
When n-type and p-type silicon come into contact, excess electrons move from the n-type
side to the p-type side. The result is the buildup of positive charge along the n-type side of
the interface and of negative charge along the p-type side, which establishes an electrical
field at the interface.
The electrical field forces the electrons to move from the semiconductor toward the negative
surface to carry current. At the same time, the holes move in the opposite direction, toward
the positive surface, where they wait for incoming electrons.
Front electrical contact
n-type layer
Depletion zone
p-type layer
Back electrical contact
Figure: 2.1 p-n junction of the PV cell
_ _ _ _ _ _
+ + + + + +
_ _ _ _ _ _
+ + + + + +

10
Light travels in packets of energy called photons. As a PV cell is exposed to sunlight, many of
the photons are reflected, pass right through, or absorbed by the solar cell. The generation of
electric current happens inside the depletion zone of the p-n junction. The depletion region is the
area around the p-n junction where the electrons from the “n-type” silicon, have diffused into the
holes of the “p-type” material. When a photon of light is absorbed by one of these atoms in the
“n-type” silicon it will dislodge an electron, creating a free electron and a hole. The free electron
and hole has sufficient energy to jump out of the depletion zone. If a wire is connected from the
cathode (n-type silicon) to the anode (p-type silicon) electrons will flow through the wire. The
electron is attracted to the positive charge of the “p-type” material and travels through the
external load creating a flow of electric current. The hole created by the dislodged electron is
attracted to the negative charge of “n-type” material and migrates to the back electrical contact.
As the electron enters the “p-type” silicon from the back electrical contact it combines with the
hole restoring the electrical neutrality.
2.3 Photovoltaic Modules/Array
A PV or solar cell is the basic building block of a PV (or solar electric) system. An individual PV
cell is usually quite small, typically producing about 1 or 2W of power. To boost the power
output of PV cells, they have to be connected together to form larger units called modules. The
modules, in turn, can be connected to form larger units called arrays, which can be
interconnected to produce more power. By connecting the cells or modules in series, the output
voltage can be increased. On the other hand, the output current can reach higher values by
connecting the cells or modules in parallel.
a) b)

11
c)
Figure 2.2: (a) PV cell, (b) PV module, (c) PV array
PV devices can be made from various types of semiconductor materials, deposited or
arranged in various structures. The three main types of materials used for solar cells are
silicon, polycrystalline thin films, and single crystalline thin film.
Solar energy systems are typically classified into two systems: Passive and Active system.
Passive systems do not involve panel system or other moving mechanisms to produce energy.
Active systems typically involve electrical and mechanical components to capture sunlight
and process it into usable forms such as heating, lighting and electricity.
2.4 Photovoltaic cell model
The use of equivalent electric circuits (Figure: 2.3) makes it possible to model characteristics
of a PV cell. The PV model consists of a current source ( ), a diode (D) and a series
resistance ( ). The effect of parallel resistance ( ), represents the leakage resistance of the
cell is very small in a single module, thus the model does not include it. The current source
represents the current generated by photons ( ), and its output is constant under constant
temperature and constant incident radiation of light.

12
Isc
RS
RL
VD
+
_
v
+
_
ID
I
Figure: 2.3 PV cell with its equivalent electric circuit
Current-voltage (I-V) curves are obtained by exposing the cell to a constant level of light, while
maintaining a constant cell temperature, varying the resistance of the load, and measuring the
produced current. I-V curve typically passes through two points:
 Short-circuit current ( ): is the current produced when the positive and negative
terminals of the cell are short-circuited, and the voltage between the terminals is zero,
which corresponds to zero load resistance. Figure: 2.4(a)
 Open-circuit voltage ( ): is the voltage across the positive and negative
terminals under open-circuit conditions, when the current is zero, which corresponds
to infinite load resistance. Figure: 2.4(b)
a) b)
V=0 I=0
I=Isc V=Voc
PV PV
Figure: 2.4 (a) Short circuit current and (b) Open circuit Voltage

13
The current-voltage relationship of a PV cell is given below:
- …………………………………….. (2.1)
= [ ]…………………………….… (2.2)
From equation (1) and (2) we get,
= - [ ]……………………….……. (2.3)
Where, = output current (A)
= short circuit current (A)
= reverse saturation current (A)
= voltage (V) across the diode
q= electron charge (1.6x C)
k= boltzmann’s constant (1.381x J/K)
T= junction temperature (K)
n= diode ideality factor (1~2)
The reverse saturation current can be calculated by setting = , I=0 and n=1.6
= – 1…………………………………… (2.4)
In PV panel 36 cells are connected in series. Following specifications as mentioned at the back
of the panel were used for calculation. n=1.6 has been used for the calculation.
Table 2.1
Isc (A) Vocm (V) T (K)
1.25 21.9 298

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I-V characteristic of a PV panel simulated by MATLAB using Eq. (2.3) is shown below in
Figure: 2.5. For any given set of operational conditions, cells have a single operating point where
the values of the current (I) and Voltage (V) of the cell result in a maximum power output. The
power P is given by P=VI. A plot of panel output power vs. panel voltage is shown in figure: 2.5
which have a peak point indicated by MPP which falls off on both sides. This is known as
the maximum power point (MPP) and corresponds to the "knee" of the curve, at which the
module operates with the maximum efficiency and produces the maximum output power.
Figure: 2.5 I-V (top) and P-V (bottom) characteristic of a PV cell
0 5 10 15 20 25
0
0.01
0.02
0.03
0.04
Voltage (V)
Current(A)
0 5 10 15 20 25
0
0.005
0.01
0.015
0.02
Voltage (V)
Power(W)
MPP

15
2.5 I-V curve with load resistor
When a PV module is directly coupled to a load, the PV module’s operating point will be at the
intersection of its I–V curve and the load line which is the I-V relationship of load. For example
in Figure: 2.6, the load current,
……………………………….. (2.5)
Figure: 2.6 PV module is directly connected to a (variable) resistive load
For PV panel,
= - [ ] ................................. (2.6)
Plot of equation (2.5), shown as the load line, intersects the I-V characteristics of the P-V
module, plotted using (2.6), at different points determined by the load resistance R.
The intersection determines the operating voltage and current and the power delivered to the load
R. Figure: 2.7 shows load lines drawn for three different values of load resistance R. As it can be
seen,

16
Figure: 2.7 I-V curve for different resistive load
The load line with R=16Ω intersects the I-V characteristics at the MPP and therefore, draws the
maximum power. However, at any other value of R, the intersecting point shifts away from the
MPP and power absorbed will be less than the maximum power.
In other words, the impedance of load dictates the operating condition of the PV module. In
general, this operating point is seldom at the PV module’s MPP, thus it is not producing the
maximum power. This mismatching between a PV module and a load requires further over-
sizing of the PV array and thus increases the overall system cost.
DC-DC converter is widely used in DC power supplies and DC motor drives for the purpose of
converting unregulated DC input into a controlled DC output at a desired voltage level. MPPT
uses the same converter for a different purpose which is, regulating the input voltage at the PV
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
1.2
Voltage (V)
Current(A) 12 Ohm Eff.=91%
16 Ohm
Eff.=100%
24 Ohm
Eff.=81%
Increasing R

17
MPP and providing load matching for maximum power transfer. It can provide the output
voltage that is higher or lower than the input voltage.
DC-DC
Converter
Panel
RLoad
IMPP Io
+
_
vo
+
_
VMPP
Ropt RLoad
Figure: 2.8 PV with Load
When PV is directly coupled with a load, the operating point of PV is dictated by the load (or
impedance to be specific). The impedance of load is described as below,
……………………………. (2.7)
Where, is the output voltage, and is the output current.
The optimal load for PV is described as,
…………………………... (2.8)
Where, and are the voltage and current at the MPP respectively.
When the value of matches with that of , the maximum power transfer from PV to
the load will occur. These two are, however, independent and rarely matches in practice. The
goal of the DC-DC converter is to match the impedance of load to the optimal impedance of PV.
However, the MPP of a PV panel is not fixed but varies with different factors such as solar
irradiance and tempareture. In the following sections, we describe the variation of MPP with
different irradiance and temperature.

18
2.6 Effects of solar irradiance on MPP
There are two key parameters frequently used to characterize a PV cell. Shorting together the
terminals of the cell, the photon generated current will follow out of the cell as a short-circuit
current (Isc). When there is no connection to the PV cell (open-circuit), the photon generated
current is shunted internally by the intrinsic p-n junction diode. This gives the open circuit
voltage (Voc). The PV module or cell manufacturers usually provide the values of these
parameters in their datasheet.
In a PV cell current is generated by photons and output is constant under constant temperature
and constant incident radiation of light. Varying the irradiation we can get different output levels.
The current voltage relationship of a PV cell is given below,
………………………… (2.9)
To a very good approximation, the photon generated current, which is equal to is directly
proportional to the irradiance (G), the intensity of illumination, to PV cell.
If Isc(Go) is the photo current at irradiance Go=1000W/m2
at the air mass AM = 1.5, then the
photon generated current at any other irradiance, G (W/m2
), is given by,
………………………… (2.10)
So, the equation for varying irradiance,
………………. (2.11)
The MATLAB simulation of I-V characteristics according to equation (2.11) for different
irradiance of a PV panel is shown in Figure: 2.9. The value of Is as calculated using equation
(2.4) has been used.

19
Figure 2.9: I-V curve with different irradiance
Figure: 2.10 P-V curve with different irradiance
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
1.2
200 W/m
2
400 W/m
2
600 W/m2
800 W/m
2
1000 W/m
2
Voltage (V)
Current(A)
Increasing
Irradiance
(G)
0 5 10 15 20 25
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Voltage (V)
Power(W)
Increasing
Irradiance
(G)
Varrying
MPP with
Increasing
G

20
The PV cell output is both limited by the cell current and the cell voltage, and it can only
produce a power with any combinations of current and voltage on the I-V curve. As in Figure:
2.10 the P-V curve shifts with different irradiance so the MPP also shifts.
Now, as the I-V curve of a PV cell changes with different irradiance so it reveals that the amount
of power produced by the PV module varies greatly depending on its irradiance. It is important
to operate the system at the MPP of PV module in order to exploit the maximum power from the
module.
2.7 Effects of temperature on MPP
I-V characteristic of a PV module varies at various module temperatures.
At first, calculate the short circuit current ( ) at a given cell temperature (T).
…………………… (2.12)
Where,
= reference temperature of PV cell (298K, measured under irradiance of 1000W/m2
)
=the temperature co-efficient (percent change in per degree temperature)
=reverse saturation current of diode
=open circuit voltage
The of diode at the is given by the equation with the diode ideality factor,
= - ………………………………………………. (2.13)
The reverse saturation current ) is temperature dependent and the current (I) at a given
temperature (T) is calculated by the following equation,
= ( ) …………………… (2.14)

21
= (T)- (T)[ …………………….. (2.15)
Using equation (2.12) to (2.15), I-V characteristic of the panel is plotted for three different
temperatures, T=273K, 298K and 323K and are shown in figure: 2.11.
Here, =
.
has been used.
Figure: 2.11 I-V curve for varying temperature
With the increase of temperature the I-V characteristics of a PV cell shifts toward lefts and so the
MPP decreases with increase in temperature.
Because of the photovoltaic nature of solar panels, their current-voltage, or IV, curves depend on
temperature and irradiance levels. Therefore, the operating current and voltage which maximize
power output will change with environmental conditions.
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
0
0.2
0.4
0.6
0.8
1
1.2 273K
298K
323K
Voltage (V)
Current(A)
Increasing
Temperature
(K)

22
Therefore, the MPP needs to be located by a tracking algorithm, which is the heart of MPPT
controller. MPPT algorithm tells controller how to move the operating voltage. Then, it is a
MPPT controller’s task to bring the voltage to a desired level and maintain it .To obtain a stable
voltage from an input supply (PV cells) that is higher and lower than the output, a high efficiency
and minimum ripple DC-DC converter required in the system.
Buck-boost (Cuk) converters make it possible to efficiently convert a DC voltage to either a
lower or higher voltage. Buck-boost converters are especially useful for PV maximum power
tracking purposes, where the objective is to draw maximum possible power from solar panels at
all times.
In this chapter we have discussed the structure and the I-V characteristics of a photovoltaic cell
and corresponds to the knee of the P-V curve we get the MPP. We have seen the MPP varies
with the load resistance. Here, we can use a Buck-Boost converter to reach the MPP. But the
MPP shifts with some other factors such as solar irradiance and temperature. Therefore, we need
to track the MPP at any irradiance and temperature. So we have to use MPPT to get the
maximum power output.

23
Chapter 3
Maximum Power Point Tracker
3.1 Introduction
In a (Power-Voltage or current-voltage) curve of a solar panel, there is an optimum
operating point such that the PV delivers the maximum possible power to the load. This
unique point is the maximum power point (MPP) of solar panel.
Because of the photovoltaic nature of solar panels, their current-voltage, or IV, curves
depend on temperature and irradiance levels. Therefore, the operating current and voltage
which maximize power output will change with environmental conditions. As the
optimum point changes with the natural conditions so it is very important to track the
maximum power point (MPP) for a successful PV system. So in PV systems a
maximum power point tracker (MPPT) is very much needed. In most PV systems a
control algorithm, namely maximum power point tracking algorithm is utilized to have
the full advantage of the PV systems.
In this chapter, we attempt to design a charge controller’s MPPT by presenting
algorithms for different MPPT methods and comparing their advantages and drawbacks.
3.2 Maximum Power Point Tracking
For any given set of operational conditions, cells have a single operating point where the
values of the current (I) and voltage (V) of the cell result in a maximum power output.
These values correspond to a particular load resistance, R= V/I, as specified by Ohm’s
Law. The power P is given by P = V*I. From basic circuit theory, the power delivered
from or to a device is optimized where the derivative of the I-V curve is equal and
opposite the I/V ratio. This is known as the maximum power point (MPP) and
corresponds to the "knee" of the curve.
The load with resistance R=V/I, which is equal to the reciprocal of this value and draws
the maximum power from the device is sometimes called the characteristic resistance of
the cell. This is a dynamic quantity which changes depending on the level of illumination,

24
as well as other factors such as temperature and the age of the cell. If the resistance is
lower or higher than this value, the power drawn will be less than the maximum
available, and thus the cell will not be used as efficiently as it could be. Maximum power
point trackers utilize different types of control circuit or logic to search for this point and
thus to allow the converter circuit to extract the maximum power available from a cell.
3.3 Methods of MPPT algorithms
Maximum Power Point Tracking (MPPT) is used to obtain the maximum power from
these systems. In these applications, the load can demand more power than the PV system
can deliver. There are many different approaches to maximizing the power from a PV
system, this range from using simple voltage relationships to more complexes multiple
sample based analysis.
MPPT Methods
There are some conventional methods for MPPT. Seven of them are listed here.
These methods include:
1. Constant Voltage method
2. Open Circuit Voltage method
3. Short Circuit Current method
4. Perturb and Observe method
5. Incremental Conductance method
6. Temperature method
7. Temperature Parametric method
Method 1 to 5 is covered in this paper for their simplicity and reliability.
3.3.1 Constant Voltage Method
The constant voltage method is the simplest method. This method simply uses single
voltage to represent the Vmp. In some cases this value is programmed by an external
resistor connected to a current source pin of the control IC. In this case, this resistor can
be part of a network that includes a NTC thermistor so the value can be temperature

25
compensated. For the various different irradiance variations, the method will collect
about 80% of the available maximum power. The actual performance will be determined
by the average level of irradiance. In the cases of low levels of irradiance the results can
be better.
3.3.2 Open Circuit Voltage Method
An improvement on this method uses Voc to calculate Vmp. Once the system obtains the
Voc value, Vmp is calculated by,
The k value is typically between to 0.7 to 0.8. It is necessary to update Voc occasionally
to compensate for any temperature change. Sampling the Voc value can also help correct
for temperature changes and to some degree changes in irradiance. Monitoring the input
current can indicate when the Voc should be re-measured. The k value is a function of the
logarithmic function of the irradiance, increasing in value as the irradiance increases. An
improvement to the Voc method is to also take this into account.
Benefits:
1. Relatively lower cost.
2. Very simple and easy to implement.
Drawbacks:
1. Not accurate and may not operate exactly at MPP.
2. Slower response as Vmp is proportional to the Voc.
3.3.3 Short Circuit Current Method
The short circuit current method uses a value of Isc to estimate Imp.
This method uses a short load pulse to generate a short circuit condition. During the short
circuit pulse, the input voltage will go to zero, so the power conversion circuit must be
powered from some other source. One advantage of this system is the tolerance for input
capacitance compared to the Voc method. The k values are typically close to 0.9 to 0.98.

26
Benefits:
1. It is simple and low cost to implement.
2. This method does not require an input.
3. In low insulation conditions, it is better than others.
Drawbacks:
1. Irradiation is never exactly at the MPP due to variations on the array that are not
considered (it is not always accurate).
2. Data varies under different weather conditions and locations.
3. It has low efficiency.
In these two methods we have to choose the right constant k value carefully, to accurately
calibrate the solar panel.
3.3.4 Incremental Conductance Method
The incremental conductance method based on the fact that, the slope of the PV array of
the power curve is zero at the MPP, positive on the left of the MPP. And negative on the
right on the MPP. This can be given by,
, at MPP
, at left of MPP
, at right of MPP
Since,
=
=

27
So that, at MPP………………………………. (3.1)
, at left of the MPP………….………… (3.2)
, at right of the MPP………………….. (3.3)
Figure: 3.1 P-V curve and IncCond algorithm
The flowchart shown in Figure: 3.2 explain the operation of this algorithm. It starts with
measuring the present values of PV module voltage and current. Then, it calculates the
incremental changes, dI and dV, using the present values and previous values of voltage
and current. The main check is carried out using the relationships in the equations. If the
condition satisfies the inequality equation (3.1), it is assumed that the operating point is
at the left side of the MPP thus must be moved to the right by increasing the module
voltage. Similarly, if the condition satisfies the inequality equation (3.3), it is assumed
that the operating point is at the right side of the MPP, thus must be moved to the left by
decreasing the module voltage. When the operating point reaches at the MPP, the
condition satisfies the equation (3.1), and the algorithm bypasses the voltage adjustment.
At the end of cycle, it updates the history by storing the voltage and current data that will
be used as previous values in the next cycle.

28
The flowchart of this algorithm is given below,
Figure: 3.2 The Flowchart of IncCond method

29
Benefits:
1. It can determine the maximum power point without oscillating around this value.
Drawbacks:
1. The incremental conductance method can produce oscillations and can perform
erratically under rapidly changing atmospheric conditions.
2. The computational time is increased due to slowing down of the sampling
frequency resulting from the higher complexity of the algorithm compared to the
P&O method.
3.3.5 Perturb and Observe Method
In this method the controller adjusts the voltage by a small amount from the array and
measures power, if the power increases, further adjustments in the direction are tried until
power no longer increases. This is called P&O method. Due to ease of implementation it
is the most commonly used MPPT method.
Figure: 3.3 output power using P&O algorithm

30
The voltage to a cell is increased initially, if the output power increase, the voltage is
continually increased until the output power starts decreasing. Once the output power
starts decreasing, the voltage to the cell decreased until maximum power is reached. This
process is continued until the MPPT is attained. This result is an oscillation of the output
power around the MPP.
PV module’s output power curve as a function of voltage (P-V curve), at the constant
irradiance and the constant module temperature, assuming the PV module is operating at
a point which is away from the MPP. In this algorithm the operating voltage of the PV
module is perturbed by a small increment, and the resulting change of power, P is
observed. If the P is positive, then it is supposed that it has moved the operating point
closer to the MPP. Thus, further voltage perturbations in the same direction should move
the operating point toward the MPP. If the P is negative, the operating point has moved
away from the MPP, and the direction of perturbation should be reversed to move back
toward the MPP.

31
The flowchart of this algorithm is given below:
Figure: 3.4 Perturb and Observe algorithm flow chart

32
Perturb and Observe tracking efficiency:
Here the chart of P&O method’s efficiency during several conditions.
Table 3.1
Sky conditions Days of data MPPT
Clear 20 98.7
Partially cloudy 14 96.5
Cloudy 9 98.1
Overall 43 97.8
TOTAL 99.3
Benefits:
P&O is very popular and most commonly used in practice because of
1. Its simplicity in algorithm.
2. Ease of implementation.
3. Low cost
4. It is a comparatively an accurate method
Drawbacks:
There are some limitations that reduce its MPPT efficiency. They are,
1. It cannot determine when it has actually reached the MPP. Under steady state
operation the output power oscillates around the MPP.
For our project we choose the Perturb and observe algorithm as it has more advantages
over drawbacks. The oscillation problem can easily be minimized using minimization
techniques by controller.

33
3.4 Techniques for minimization
The advent of digital controller made implementation of algorithm easy.. The problem of
oscillations around the MPP can be solved by the simplest way of making a bypass loop
which skips the perturbation when the power is very small which occurs near the MPP.
The tradeoffs are a steady state error and a high risk of not detecting a small power
change. Another way is the addition of a “waiting” function that causes a momentary
cessation of perturbations if the direction of the perturbation is reversed several times in a
row, indicating that the MPP has been reached. It works well under the constant
irradiation.
3.4.1 Control technique
As explained in the previous section, the MPPT algorithm tells a MPPT controller how to
move the operating voltage. Then, it is a MPPT controller’s task to bring the voltage to a
desired level and maintain it. There are several methods often used for MPPT.
I. PI control
MPPT takes measurement of PV voltage and current, and then tracking algorithm
calculates the reference voltage (Vref) where the PV operating voltage should move next.
The task of MPPT algorithm is to set Vref only, and it is repeated periodically with a
slower rate (typically 1~10) samples per second).
II. Direct control
This control method is simpler and uses only one control loop, and it performs the
adjustment of duty cycle within the MPP tracking algorithm. The way how to adjust the
duty cycle is totally based on the theory of load matching.
III. Output sensing control
The system usually requires another set of sensors for the output to detect the over
voltage and over-current condition of load. This output sensing method measures the

34
power change of PV at the output side of converter and uses the duty cycle as a control
variable. This control method employs the P&O algorithm to locate the MPP.
To obtain a stable voltage from an input supply (PV cells) that is higher and lower than
the output, a high efficiency and minimum ripple DC-DC converter required in the
system for residential power production. Buck boost type converters are most efficient
for this purpose. The MPPT algorithm drives the converter so that it can draw the
maximum power always.

35
Chapter 4
DC-DC Converter
4.1 Introduction
A DC-DC converter is an electronic circuit which converts a source of direct current (DC) from
one voltage level to another. The DC-DC converters are widely used in regulated switch-mode
dc power supplies and in dc motor drives applications. Often the input of these converters is an
unregulated dc voltage, which is obtained by rectifying the line voltage, and therefore it will
fluctuate due to changes in the line voltage magnitude. Switch-mode DC-DC converters are used
to convert the unregulated dc input into a controlled dc output at a desired voltage level. The
heart of MPPT hardware is a switch-mode DC-DC converter. MPPT uses the converter for a
different purpose: regulating the input voltage at the PV MPP and providing load matching for
the maximum power transfer.
In this chapter we have discussed about the different topologies of DC-DC converters. We have
explained Buck-Boost, SEPIC, Cuk converters and their operation mode. We simulated and
implemented the Cuk converter and in this chapter we have given the data and shown the output
with the help of different curves. Considering every sides, in this thesis we are using Cuk
topology though it can step up and down the voltage and can provide a better input and output
current characteristic due to the inductor on the stages.
4.2 Topologies
There are many topologies are used as DC-DC converter. They are categorized into isolated or
non-isolated topologies.
The isolated topologies use a small-sized high-frequency electrical isolation transformer which
provides the benefits of DC isolation between input and output, and step up or down of output

36
voltage by changing the transformer turns ratio. They are very often used in switch mode DC
power supplies. Popular topologies for a majority of the applications are:
I. Flyback
II. Half-bridge and
III. Full-bridge.
In PV applications, the grid-tied systems often use these types of topologies when electrical
isolation is preferred for safety reasons.
Non-isolated topologies do not have isolation transformers. They are almost always used in DC
motor drives. These topologies are further categorized into three types:
I. Step down (Buck)
II. Step up (Boost) and
III. Step up & down (Buck-Boost).
The buck topology is used for voltage step-down. In PV applications, the buck type converter is
usually used for charging batteries. The boost topology is used for stepping up the voltage. The
grid-tied systems use a boost type converter to step up the output voltage to the utility level
before the inverter stage.
There are topologies able to step up and down the voltage such as:
1. Buck-Boost
2. SEPIC (Single Ended Primary Inductor Converter) and
3. Cuk.
For PV system with batteries, the MPP of commercial PV module is set above the charging
voltage of batteries for most combinations of irradiance and temperature. A buck converter can
operate at the MPP under most conditions, but it cannot do so when the MPP goes below the
battery charging voltage under a low-irradiance and high-temperature condition. Thus, the
additional boost capability can slightly increase the overall efficiency.

37
4.3 Buck-boost converter
To obtain a stable voltage from an input supply (PV cells) that is higher and lower than the
output, a high efficiency and minimum ripple DC-DC converter required in the system for
residential power production. Buck-boost converters make it possible to efficiently convert a
DC voltage to either a lower or higher voltage. Buck-boost converters are especially useful
for PV maximum power tracking purposes, where the objective is to draw maximum possible
power from solar panels at all times, regardless of the load.
DC
+
_
VoVin
S
L
iL
VL
D
Vd
C
R
iD
+ _
+
_
Figure: 4.1 Basic schematic of buck-boost converter
The buck boost converter can be obtained by the cascade connection of two basic converters:
step up (Boost) and step down (Buck) converter.
In PV applications, the buck type converter is usually used for charging batteries. The boost
topology is used for stepping up the voltage. The grid-tied systems use a boost type converter
to step up the output voltage to the utility level before the inverter stage.
The input output voltage conversion ratio is the product of the conversion ratios of the two
converters in cascade (assuming that the switches sin the both converters have the same duty
ratio).
…………………………….. (4.1)
This the output voltage to be higher or lower than the input voltage based on the duty ratio.

38
The cascade connection of the step up step down converters can be combined into single
buck boost converters, when the switch is closed the input provides energy to the inductor
and the diode is reversed biased. When the switch is open the energy stored in the inductor is
transferred to the output. No energy is supplied to the output in this interval. The output
capacitor is considered to be very large which results in a constant output voltage .
The basic principle of the buck–boost converter is fairly simple.
 While in the On-state, the input voltage source is directly connected to the inductor (L).
This results in accumulating energy in L. In this stage, the capacitor supplies energy to
the output load.
 While in the Off-state, the inductor is connected to the output load and capacitor, so
energy is transferred from L to C and R.
4.3.1 Continuous conduction mode
In the continuous mode the current can flow continuously through the inductor. When the
switch is turned-on, the input voltage source supplies current to the inductor, and the
capacitor supplies current to the resistor (output load). When, the switch is opened, the
inductor supplies current to the load via the diode D.
vL
+
_
+
_
Vin
iL
io
+
_
Vo
C R
Figure: 4.2 Continuous mode operation
Equating the integral of the inductor voltage over one period to zero yields

39
( ) ( ) …..................... (4.2)
………………………………… (4.3)
4.3.2 Discontinuous conduction mode
In the discontinuous mode the current cannot flow continuously. The amount of energy required
by the load is small enough to be transferred in a time smaller than the whole commutation
period. In this case, the current through the inductor falls to zero during part of the period.
vL
+
_
+
_
Vin
iL
io
+
_
Vo
C R
Figure: 4.3 discontinuous mode operation
Benefits:
1. Buck-boost DC-DC switching converter is good for home appliances for high efficiency.
2. Minimum ripple voltage.
3. Programmable without external components.
Drawbacks:
The disadvantage of the buck boost converter is that input current is discontinuous because of the
switch located at the input.

40
4.4 SEPIC converter
A SEPIC is similar to a traditional buck-boost converter. Its full name is Single-ended primary-
inductor converter. (SEPIC) is a type of DC-DC converter allowing the electrical potential
(voltage) at its output to be greater than, less than, or equal to that at its input; the output of the
SEPIC is controlled by the duty cycle of the control transistor.
The diagram for a basic SEPIC is shown in Figure: 4.4,
DC
+
_
Vo
Vin
Cin
VL1+ _
IL1
L1
IC1 C1
L2
+
_
VL2
+ _
VC1
D1
IL2
Id1
R
C2
IC2
S1
Figure: 4.4 Diagram for a basic SEPIC converter
With other switched mode power supplies (specifically DC-to-DC converters), the SEPIC
exchanges energy between the capacitors and inductors in order to convert from one voltage to
another. The amount of energy exchanged is controlled by switch, which is typically a transistor
such as a MOSFET.
4.4.1 Continuous mode
A SEPIC is said to be in continuous-conduction mode ("continuous mode") if the current through
the inductor L1 never falls to zero. During a SEPIC's steady-state operation, the average voltage
across capacitor C1 (VC1) is equal to the input voltage (Vin). Because capacitor C1 blocks direct
current (DC), the average current across it (IC1) is zero, making inductor L2 the only source of
load current. Therefore, the average current through inductor L2 (IL2) is the same as the average
load current and hence independent of the input voltage.

41
Looking at average voltages, the following can be written:
………………….. (4.4)
Since, the voltages are the same in magnitude, the ripple currents from the two inductors will be
equal in magnitude.
The average currents can be summed as follows:
……………………………. (4.5)
When switch S1 is turned on, current IL1 increases and the current IL2 increases in the negative
direction. (Mathematically, it decreases due to arrow direction.) The energy to increase the
current IL1 comes from the input source. Since S1 is a short while closed, and the instantaneous
voltage VC1 is approximately VIN, the voltage VL2 is approximately −VIN. Therefore, the capacitor
C1 supplies the energy to increase the magnitude of the current in IL2 and thus increase the
energy stored in L2. The easiest way to visualize this is to consider the bias voltages of the circuit
in a dc state, then close S1.
DC
+
_
Vo
Vin
Cin
VL1+ _
IL1
L1
IC1 C1
L2
+
_
VL2
+ _
VC1
D1
IL2
Id1
R
C2
IC2
S1
Figure: 4.5 Voltage and Current of SEPIC converter with Switch Close
When switch S1 is turned off, the current IC1 becomes the same as the current IL1, since inductors
do not allow instantaneous changes in current. The current IL2 will continue in the negative
direction, in fact it never reverses direction. It can be seen from the diagram that a negative IL2
will add to the current IL1 to increase the current delivered to the load. Using Kirchhoff's Current

42
Law, it can be shown that ID1 = IC1 - IL2. It can then be concluded, that while S1 is off, power is
delivered to the load from both L2 and L1. C1, however is being charged by L1 during this off
cycle, and will in turn recharge L2 during the on cycle.
DC
+
_
Vo
Vin
Cin
VL1+ _
IL1
L1
IC1 C1
L2
+
_
VL2
+ _
VC1
D1
IL2
Id1
R
C2
IC2
S1
Figure: Voltage and Current of SEPIC converter with Switch Open
Because the potential (voltage) across capacitor C1 may reverse direction every cycle, a non-
polarized capacitor should be used. C1 will not change unless the switch is closed long enough
for a half cycle of resonance with inductor L2, and by this time the current in inductor L1 could
be quite large.
4.4.2 Discontinuous mode:
A SEPIC is said to be in discontinuous-conduction mode (or, discontinuous mode) if the current
through the inductor L1 is allowed to fall to zero.
Benefits:
 SEPICs are useful in applications in which a battery voltage can be above and below that
of the regulator's intended output. For example, a single lithium ion battery typically
discharges from 4.2 volts to 3 volts; if other components require 3.3 volts, then the
SEPIC would be effective.
Drawbacks:
 Like buck–boost converters, SEPICs have a pulsating output current.

43
 Since the SEPIC converter transfers all its energy via the series capacitor, a capacitor
with high capacitance and current handling capability is required.
 The fourth-order nature of the converter also makes the SEPIC converter difficult to
control, making them only suitable for very slow varying applications.
4.5 Cuk converter
4.5.1 Circuit Description and Operation
The Cuk converter is obtained by using the duality principle on the circuit of a buck-boost
converter. Similar to the buck-boost converter, the Cuk converter provides a negative-
polarity regulated output voltage with respect to the common terminal of the input voltage.
The output voltage magnitude can be same, larger or smaller than the input, depending on the
duty cycle.
The inductor on the input acts as a filter for the dc supply, to prevent large harmonic content.
Here, the capacitor C1 acts as the primary means storing and transferring energy from the
input to the output.
The analysis begins with these assumptions:
 Both inductors are very large and the currents in them are constant.
 Both capacitors are very large and the voltages across them are constant.
 The circuit is operating in the steady state, meaning the voltage and current
waveforms are periodic.
 For the duty ratio of D, the switch is closed for time DT and open for (1-D)T.
 The switch and the diode are ideal.
In steady state, the average inductor voltages VL1 and VL2 are zero. Therefore by Figure: 4.7,
……………………….. (4.6)
Therefore, VC1 is larger than both Vs and Vo. Assuming C1 to be sufficiently large, in steady
state the variation in vC1 from its average value VC1 can be assumed to be negligibly small
(VC1≈vC1), even though it stores and transfers energy from the input to the output.

44
L1
iL1
+
_
Vs
_+
vL1
C1
+ _
vC1
D
L2
+
_
vL2
iL2
C
R
_
+
VoT
Figure: 4.7 Circuit diagram of a Cuk converter
When the switch is off, the inductor currents iL1 and iL2 flow through the diode. Capacitor C1
is charged through the diode. The circuit is shown in Figure: 4.8, Capacitor C1 is charged
through the diode by energy from both the input and L1. Current iL1 decreases because VC1 is
larger than Vs. Energy stored in feeds the output. Therefore iL2 also decreases.
iL1
L1 L2
iL2
+
_
VC1
+
_
vL2
R
_
+
Vo
D
+
_
VS
+ _
vL1
C
Figure: 4.8 Voltage and Current in a Cuk converter with Switch Off

45
When the switch is on, VC1 reverse biases the diode. The inductor currents iL1 and iL2 flow
through the switch as shown in Figure: 4.9. Since VC1 >Vo, C1 discharges through the switch,
transferring energy to the output and L2. Therefore iL2 increases the input feeds energy to L1
causing iL1 to increase.
iL1
L1 L2
iL2
+
_
VC1
+
_
vL2
R
_
+
Vo
T
+
_
VS
+ _
vL1
C
Figure: 4.9 Voltage and Current in a Cuk converter with Switch On
The inductor currents iL1 and iL2 are assumed to be continuous. The voltage and the current
expressions in steady state can be obtained in two different ways.
If we assume the capacitor voltage VC1 to be constant, then equating the integral of the voltages
across L1 and L2 over one time period to zero yields
( )( ) ………………….. (4.7)
( ) ( )( ) ……………... (4.8)
= …………………… (4.9)
= ………………………… (4.10)
From equation (4.9) and (4.10) we get,

46
…………………………… (4.11)
Next, the average power supplied by the source must be same as the average power absorbed by
the load.
……………………………. (4.12)
…..………………………….. (4.13)
……………………………… (4.14)
Where, IL1=Is and IL2=Io.
In practical circuits, the assumption of a nearly constant is reasonably valid.
Its relationship to the duty cycle (D) is:
 If 0 < D < 0.5 the output is smaller than the input.
 If D = 0.5 the output is the same as the input.
 If 0.5 < D < 1 the output is larger than the input.
Benefits:
1) An advantage of this circuit is that both the input current and the current feeding the
output stage are reasonably ripple free. It is possible to simultaneously eliminate the
ripples in iL1 and iL1 completely, leading to lower external filtering requirements.
2) This converter is also able to step up and down the voltage. It uses a capacitor as the
main energy storage. As a result, the input current is continuous.
3) This circuit has low switching losses and high efficiency.
4) This converter does not allow electromagnetic interference like others.

47
Drawbacks:
 A significant disadvantage is the requirement of a capacitor C1 with a large ripple-
current-carrying capability.
In our thesis we have designed Cuk topology and simulated by P-Spice and implemented in
hardware. For our design the value of C1, C2, L1, and L2 we have taken using the following
formulas,
( )
……………….… (4.15)
( )
………………….. (4.16)
…………………….. (4.17)
( )
.............................. (4.18)
We have found the value of L1 and L2 is same if the duty cycle is 50%. The value of L1 and L2
decreases with the increase in frequency as in Figure: 4.10,
Figure: 4.10 Variation of Inductor (L1/L2) size with Frequency
5 10 15 20 25
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
Frequency (KHz)
Inductance(µH)

48
We have also plotted the value of C1 and C 2 with respect to Frequency. As shown in Figure: 4.11
and 4.12 the value of C1 and C2 decreases with the increase in frequency.
Fig: 4.11 Variation of C1 size with frequency Fig: 4.12 Variation of C2 size with frequency
In Figure: 4.13 we can see the output power (Po) increases with respect to increase in frequency
(F).
Figure: 4.13 Variations in Output Power with Frequency
5 10 15 20 25
10
20
30
40
50
Frequency (KHz)
Capacitance(µF)
5 10 15 20 25
20
22
24
26
28
30
32
Frequency (KHz)
OutputPower(W)
5 10 15 20 25
0
50
100
150
Capacitance(µF)
Frequency (KHz)

49
We have selected 25 KHz frequency for our design because if the frequency is more higher the
switching loss more increases.
In P-Spice Simulation we have assumed, f=25K, D=50%, R=10
∆
Using equation (4.15), (4.16), (4.17), (4.18) we get,
We have simulated varying duty cycles and we get different output. From the Figure: 4.14 we
can see with increase in duty cycle (D), the output voltage (Vo) increases.
Figure: 4.14 Curve for Vo-D, obtained by P-Spice Simulation
0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65
5
10
15
20
25
30
35
40
45
50
Duty Cycle
OutputVoltage(V)

50
Figure: 4.15 Design of a Cuk converter circuit for P-Spice simulation
Figure: 4.16 Simulated Output Voltage from Cuk converter

51
In hardware part we have taken R=40Ω and other values were same as the simulation part. We
have collected the data by varying the duty cycle (D).
Table 4.1
Duty Cycle (D) Input Voltage ,Vin
(V)
Input Current, Iin
(A)
Output Voltage, Vo
(V)
20% 20 .23 10.95
30% 20 .43 15.50
40% 20 .67 19.30
50% 20 .75 20.15
60% 20 1.25 26.30
70% 20 2.74 33.30
We have plotted the data from Table 4.1 and Figure: 4.15 show the relationship between duty
cycle and output voltage.
Figure: 4.17 curve for Vo-D, obtained by hardware implementation
0.2 0.3 0.4 0.5 0.6 0.7
10
15
20
25
30
35
Duty Cycle
OutputVoltage(V)

52
From the simulation and implementation parts we get, when the duty cycle is 50% the output
voltage is same as input voltage, when the duty cycle is less than 50% the output voltage is less
than input voltage and when the duty cycle is more than 50% the output voltage is more than
input voltage which satisfies our theoretical design.
In this paper, DC-DC Cuk converter design and implement for photovoltaic application. The
proposed Cuk converter has a significant advantage over other inverting topologies since they
enable low voltage ripple on both the input and the output sides of the converter. So, the
performance of photovoltaic system and the output efficiency of converter are improved.

53
Chapter 5
The Proposed Charge Controller Design
In our project, the Maximum Power Point Tracker (MPPT) will be implemented by using a
microcontroller that is programmed to execute the desired algorithm. The program will control
the charge controller of the PV array by sensing the panel voltage (V) and current (I) and the
battery voltage of to determine the single operating point where the values of current (I) and
voltage (V) result in a maximum power output. This is the Maximum Power Point (MPP). The
goal of the MPPT is to match the impedance of the battery to the optimal impedance of the
panel.
After taking the measurements of voltage and current, and decides the tracking algorithm
(Perturb and Observe) which is the heart of the MPPT controller. The algorithm that is used is
written using C# programming language on an interface known as Micro C. The program built
generates a “.hex” file which is burned onto the microcontroller by means of a lock burner.
5.1 Microcontroller and Voltage Regulator
The microcontroller that will be used in this system is PIC16F876A. It is a 28 pin IC. It has a
memory of 368 bytes and external programmable memory (EEPROM) of 256 bytes.
The microcontroller senses both the panel and battery voltages and takes decisions to activate
different components of the circuits such as, transistors, relays and LED indicators. It is powered
up by the lead-acid battery connected to it through a voltage regulator (LM7805) which converts
the 12V into 5V and is connected to a RESET (pin 1). The microcontroller is also powered by a
5V supply at pin 20 and ground at pin 8 and 19.

54
Figure: 5.1 Voltage Regulator (LM 7805) connected to the RESET (pin 1).
5.2 Analog to Digital Conversion (ADC):
Voltage Sensing:
The microcontroller consists of built in Analog- to- Digital (ADC) converters. These enable the
conversion of our analog inputs into quantized values. The ADCON registers will need to be
configured with their required binary values to enable ADC to begin.
The voltage inputs from the panel and the battery must be “stepped down” by using voltage
division principle. The node voltages between the two resistors () connected to the panel is fed to
one ADC pin (AN0). Similarly, the node voltages from the resistors connected to the battery are
connected to AN1 (pin 3).
The ADC of the microcontroller divides these analog inputs into 1024 quantized levels. These
values are 0 (for 0V input) and 1023 (for 5V input). In this way, voltage sensing of the panel and
battery is achieved.

55
Figure: 5.2 Voltage sensing circuit diagram.
Current Sensing:
To read the current supplied by the PV module, a shunt resistor is placed in series with an ADC
input. This value is amplified and connected to the ADC port AN2. The shunt resistor gives a
voltage that is proportional to the current, e.g.: if 1A gives 5mV, 10A gives 50mV. This voltage
output is then connected to another ADC port, AN2 and run in the algorithm as an input.
Conversely, a Hall effect sensor may be used. This includes HAL 710 (Hall effect sensor with
Direction Detection) and 6851, of which 6851 is more convenient. The 6851 is an integrated Hall
effect latched sensor. The device includes an on-chip Hall voltage generator for magnetic
sensing, a comparator that amplifies the Hall voltage, and a Schmitt trigger to provide switching
hysteresis for noise rejection, and output driver with pull-high resistor. If a magnetic flux density
larger than threshold βOP, D0 is turned ON (low). The output state is held until a magnetic flux
density reversal falls below βOP causing DO to be turned OFF(high) [Pi Labs]. In this way, the
sensor detects the magnetic flux produced by the analog input, and reads current as a voltage.
However, for our purpose, we have used a shunt resistor and the voltage across it amplified by
and Op-Amp and connected to the ADC pin.

56
Figure: 5.3 Current sensing circuit diagram.
5.3 Pulse Width Modulation:
The charging of the battery at Maximum Power Point (MPP) is achieved by carrying out the
process of Pulse Width Modulation (PWM) at the switch mode of the DC- DC converter.
The pulse width modulation uses time proportioning. This divides the signals into and low states.
The proportion of time spent in the high state is known as the duty cycle. Our algorithm uses
different duty cycles to match the impedances of the PV array and the battery to reach the MPP.
The duty cycle like the ADC, must be quantized into digital outputs. For this purpose the
PORTB and PORTC are declared as outputs and the PWM port is initialized with input
RA0/AN0
2
RA1/AN1
3
RA2/AN2/VREF-/CVREF
4
RA4/T0CKI/C1OUT
6
RA5/AN4/SS/C2OUT
7
OSC1/CLKIN
9
OSC2/CLKOUT
10
RC1/T1OSI/CCP2
12
RC2/CCP1
13
RC3/SCK/SCL
14
RB7/PGD
28
RB6/PGC
27
RB5
26
RB4
25
RB3/PGM
24
RB2
23
RB1
22
RB0/INT
21
RC7/RX/DT
18
RC6/TX/CK
17
RC5/SDO
16
RC4/SDI/SDA
15
RA3/AN3/VREF+
5
RC0/T1OSO/T1CKI
11
MCLR/Vpp/THV
1
U1
PIC16F876A
X1
CRYSTAL
3
2
6
74
1
5
U3
741
R11
1k
MICROCONTROLLER
+5V
SOLAR PANEL
(+)
(-)
R8
10k
RS
0.1
+5V

57
frequency (25000 Hz). The duty cycle of the PWM pin (CCC1/ pin 13) is set with a quantized
value which is 0 for minimum (0%) duty cycle and 255 for maximum (100%) duty cycle.
If the battery is in need of charging, it only charged if the panel voltage is greater than 15V and
less than or equal to 20V. The panel voltage and current flows to thee Cuk converter which is
activated by a bipolar junction transistor (BJT- BC547) connected to the PWM port CCP1 (pin
13).
Figure: 5.4 Switching operation of the charging process from the panel to the battery by using
the Cuk converter.
5.4 Battery Discharging:
Relay:
When a load is required to be operated by the battery, a relay (G5LE-1A- DC 12V) is used for
providing the voltage and current to the battery. One end of the relay is connected to the battery.
The other end is connected to the collector of the Darlington pair BJT (TIP122). The emitter is
connected to ground and the base is controlled by a microcontroller port (the RB1 pin). When the
battery is charging, the voltage of the battery allows a low current to flow in the relay coil. This
LC1
225uH
CC1
15uF
LC2
225uH
DC1
DIODE
CC2
10uF
Q2
BC547
RA0/AN0
2
RA1/AN1
3
RA2/AN2/VREF-/CVREF
4
RA4/T0CKI/C1OUT
6
RA5/AN4/SS/C2OUT
7
OSC1/CLKIN
9
OSC2/CLKOUT
10
RC1/T1OSI/CCP2
12
RC2/CCP1
13
RC3/SCK/SCL
14
RB7/PGD
28
RB6/PGC
27
RB5
26
RB4
25
RB3/PGM
24
RB2
23
RB1
22
RB0/INT
21
RC7/RX/DT
18
RC6/TX/CK
17
RC5/SDO
16
RC4/SDI/SDA
15
RA3/AN3/VREF+
5
RC0/T1OSO/T1CKI
11
MCLR/Vpp/THV
1
U1
PIC16F876A
R2
100k
X1
CRYSTAL
PANEL(+) BATTERY(+)
MICROCONTROLLER
CUK CONVERTER

58
low current, induces the load contact to be switched OFF. When the battery is sufficient enough
to run a load, the base of the BJT is turned on and the current flows from the relay coil to the
load. The relay is now ON.
Figure: 5.5 Relay coil.
Figure: 5.6 Battery discharging operation of the circuit.
5.5 Design Functions:
When the program is run on the microcontroller, the ADC ports of the microcontroller divides
the analog inputs into 1024 quantized levels and display the different voltages on a 16x2 LCD. In
this way, voltage sensing of the panel and battery is achieved.

59
The current supplied by the PV module, a shunt resistor is placed in series with an ADC input.
The shunt resistor gives a voltage that is proportional to the current, e.g.: if 1A gives 5mV, 10A
gives 50mV. This voltage output is then connected to another ADC port, AN2 via an Op- Amp
and run in the algorithm as an input.
If the battery is in need of charging, the PWM ports are activated. The battery is only charged if
the panel voltage is greater than 15V and less than or equal to 20V. The panel voltage and
current flows to the Cuk converter which is activated by a bipolar junction transistor (BJT-
BC547) connected to the PWM pin.
During discharging, the panel voltage and current flows to the Cuk converter which is activated
by a bipolar junction transistor (BJT- BC547) connected to the PWM pin. The switching mode of
the Cuk converter matches the impedance of the battery to the optimal impedance of the panel.
The point of intersection of the P-V curve of the panel and the battery gives the Maximum Power
Point (MPP).
Figure: 5.7 Charge controller design schematic
RA0/AN0
2
RA1/AN1
3
RA2/AN2/VREF-/CVREF
4
RA4/T0CKI/C1OUT
6
RA5/AN4/SS/C2OUT
7
OSC1/CLKIN
9
OSC2/CLKOUT
10
RC1/T1OSI/CCP2
12
RC2/CCP1
13
RC3/SCK/SCL
14
RB7/PGD
28
RB6/PGC
27
RB5
26
RB4
25
RB3/PGM
24
RB2
23
RB1
22
RB0/INT
21
RC7/RX/DT
18
RC6/TX/CK
17
RC5/SDO
16
RC4/SDI/SDA
15
RA3/AN3/VREF+
5
RC0/T1OSO/T1CKI
11
MCLR/Vpp/THV
1
U1
PIC16F876A
X1
CRYSTAL
R1
10k
R2
33k
R3
1k
R4
4.7k
R510k Q3
TIP122
B2
20V
VI
1
VO
3
GND
2
U2
7805
R6
10k
R7
100k
L1
12V
D7
14
D6
13
D5
12
D4
11
D3
10
D2
9
D1
8
D0
7
E
6
RW
5
RS
4
VSS
1
VDD
2
VEE
3
LCD1
LM016L
+5V
R9
2.2k
+5V
LC1
225uH
CC1
15uF
LC2
225uH
DC1
DIODE
CC2
10uF
+88.8
VoltsQ2
BC547+88.8
Volts
B1
12V
RL2
G5CLE-1-DC12
D3
DIODE
3
2
6
74
1
5
U3
741
R11
1k
R8
10k
RS
0.1
+5V
MICROCONTROLLER
BATTERY
SOLAR PANELS
RELAY
LOAD

60
The MPPT has not been implemented in hardware due to time constraint. Therefore, we were not
able to find the actual values at which the MPP was reached. Our future work with include the
implementation of the project. However, our analysis of the algorithm and understanding of the
different functions shows that by ADC of the voltages and current and PWM of the Cuk
converter, we will be able to attain the MPP and implement it on hardware.

61
Chapter 6
Conclusion
6.1 Summary
This study presents a simple but efficient photovoltaic system with maximum power point
tracker. Description of each component like solar panel, DC-DC converter and charge controller
is presented here. MATLAB simulations of I-V characteristics for different irradiance, load and
temperature are shown here. As, our aim was to design a system which can extract maximum
output power, so we explained about maximum power point (MPP) and maximum power point
tracker (MPPT). Researches for different method of algorithms for are done. For better result we
compared the Incremental conductance method with Perturb and observe method. Perturb and
observe method shows narrowly better performance. The problems solving techniques are also
here. This thesis adopts the direct control method which employs the P&O algorithm but requires
only two sensors (voltage sensing and current sensing) for output. This control method offers
another benefit of allowing steady-state analysis of the DC-DC converter. Various types of DC-
DC converters and their topologies are presented in this paper. After analyzing a lot, we choose
the Cuk converter for its efficiency. A clear sketch of Cuk converter and its different topologies
are presented here. The P-spice simulated result and the relationship between frequency and
inductance or capacitance is given here. Also relationship of duty cycle and output voltage and
power are attached here. While we implemented in hardware we found that the results matched
with the simulation. We designed the whole circuit using micro controller. Our analysis of the
algorithm and understanding of the different functions shows that by ADC of the voltages and
current and PWM of the Cuk converter, we will be able to attain the MPP. Our future work will
include implementation of the system in hardware.

62
6.2 Concluding remarks:
PV has a powerful attraction because it produces electric energy from a free inexhaustible
source, the sun, using no moving parts, consuming no fossil fuels, and creating no pollution or
green house gases during the power generation. So, it is our wish to make the P-V system more
efficient so that it can help for betterment of life.

63
References:
1. A. Khalighand O.C. Onar: Energy Harvesting-Solar, Wind, and Ocean Energy
Conversion Systems; CRC Press, 2010.
2. Photovoltaic System Engineering [2nd
Edition]
By Roger A. Messenger and Jerry Ventre
3. http://courseware.ee.calpoly.edu/~jharris/research/super_project/ao_thesis.pdf
4. http://www.ti.com/lit/an/slva446/slva446.pdf
5. http://www.archives-ijaet.org/media/15I5-IJAET0511537-COMPARISON-OF-
MAXIMUM-POWER-Copyright-IJAET.pdf
6. Power Electronics-Converters, Application and design-[2nd
Edition]
By Ned Mohan
7. Introduction to Power Electronics by Daniel W. Hart
8. http://en.wikipedia.org/wiki/Single-ended_primary-inductor_converter
9. http://en.wikipedia.org/wiki/Buck%E2%80%93boost_converter
10. Akihiro Oi, “Design And Simulation Of Photovoltaic Water Pumping System,”
California Polytechnic State University, San Luis Obispo, September 2005.
11. [39582b]: PIC16F87XA Data Sheet 28/40/44-Pin Enhanced Flash Microcontrollers,
Microchip Technology Inc., 2003.
12. Wikipedia.
13. http://www.techshopbd.com/index.php/productcategories/miscellaneous/miscellaneous/h
all-effect-sensor-6851.
14. Marzuq Rahman, et al; “Design of a Charge Controller Circuit for multilevel Solar Panels
for Solar Home System,” 2012.
15. World Academy of Science, Engineering and Technology 44 2008-A New Maximum
Power Point Tracking for Photovoltaic Systems-Mohammed Azeb
16. Batteries and Charge Control in Stand-Alone Photovoltaic Systems Fundamentals and
Application-Prepared by:James P. Dunlop, P.E.Florida Solar Energy Center1679 Clearlake
RoadCocoa, FL 32922-5703
17. Mohamed Azab, “A New Maximum Power Point Tracking for Photovoltaic Systems,”
World Academy of Science, Engineering and Technology, 44 2008.

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