simulation of single phase fuel cell powered

24
u A SIMULATION OF SINGLE PHASE FUEL CELL POWERED TRANSFORMERLESS MULTILEVEL INVERTER USING H-BRIDGE CASCADED TOPOLOGY by Nurhafiza Bt Azizan (1332220852) A dissertation submitted 049986 rb Nq'T4 2014 in partial fulfillment of the requirements for the degree of Master of Science (Electrical Power Engineering) School of Electrical System Engineering UNIVERSITI MALAYSIA PERLIS 2014 © This item is protected by original copyright

Upload: others

Post on 16-Oct-2021

3 views

Category:

Documents


0 download

TRANSCRIPT

u A

SIMULATION OF SINGLE PHASE FUEL CELL POWERED TRANSFORMERLESS MULTILEVEL INVERTER USING

H-BRIDGE CASCADED TOPOLOGY

by

Nurhafiza Bt Azizan

(1332220852)

A dissertation submitted

049986 rb

.PTK~Cf3l Nq'T4 2014

in partial fulfillment of the requirements for the degree of Master of Science (Electrical Power Engineering)

School of Electrical System Engineering UNIVERSITI MALAYSIA PERLIS

2014

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

Author's full name

Date of birth

Title

Academic Session

THESIS DECLARATION FORM

UNIVERSITI MALAYSIA PERLIS

DECLARATION OF THESIS

... N~.~r!~ .. .. ~I .. ~~~.~~ ...................................................... .

.. 0 .700 .l?~.~ .. Jq.~. ?.-00 0

... f.(M~~~.T.'.~~ oo .. qr. oo.f(~~.~ ... ~f. .... ~~ ... ~~ ........ oo ......

.... ~.l?.~l?. oo .. ~~~~Ooooo~~~~ .~ .. .f~~.P.:~

.... ~.~n! r:r ... . ff.-::~P:!P~f. ... . ~~ ..... ~f.~~. ~~~ ........................ .

.. . 00 .. ~Y~ ./.~. rtt. 00 .. 00 ... 00.

I hereby declare that this thesis becomes the property of Universiti Malaysia Perlis (UniMAP) and to be placed at the library of UniMAP. This thesis is classified as :

D CONFIDENTIAL

D RESTICTED

I /I OPEN ACCESS

(Contains confidential information under the Official Secret Act 1972)

(Contains restricted information as specified by the organization where research was done)

I agree that my thesis is to be made immediately available as hard copy or on-line open access (full text)

I, the author, give permission to the UniMAP to reproduce this thesis in whole or in part for the purpose of research or academic exchange only (except during a period of_ years, if so requested above).

SIGNAjt ¥2-f.u?J - 01 -SlfJ.

(NEW IC NO. I PASSPORT NO.)

Date : It{~ {~l't

SIGNATURE F UPERVISOR

DR.MUH ADIRWANTO PEN ARAH KANAN

PPK S!STEM ELEKTRIK

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

ACKNOWLEDGMENTS

All thanks to God for his blessings, mercy, giving me strength and ideas for

completing this thesis. Writing this thesis is like putting together a big jigsaw puzzle.

Without the clues along the way, the final picture might have appeared much later and

perhaps fuzzier. I would like to thank the kind individuals, who supplied these clues and

some of the missing pieces.

I would like to express my gratitude to my supervisor Dr Muhammad Irwanto Bin

Misrun for his valuable supervision, inspiring suggestion, and guidance in the research and

preparation of this thesis. I would also like to thank my friends Mohd Hafiz, Norjasmi,

Norhanisa, Diyya, Arizadayana and Habibah who encouraged me and shared important

knowledge to complete my research thesis.

My outmost gratitude to my family especially my parents Mr Azizan Bin Ibrahim

and Mrs Siti Hajar Binti Ibrahim@Hamid for never questioning the path I wanted to take

and supporting me in whatever I choose to do. Most of all , I would like to thank my

beloved husband Ahmad Zaidi Bin Abdullah, for his endless support and patience

throughout my graduate school experience. For all those whom I may not mention here

I apologize and thank everyone who have been a part of my success.

iii

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

TABLE OF CONTENTS

PAGE

THESIS DECLARATION ii

ACKNOWLEDGMENT iii

TABLE OF CONTENTS iv

LIST OF TABLES vii

LIST OF FIGURES viii

LIST OF ABBREVIATIONS X

ABSTRAK xi

ABSTRACT xii

CHAPTER 1 INTRODUCTION

1.1 Background Study

1.2 Problem Statement 2

1.3 Objectives 3

1.4 Scope Of Work 3

1.5 Thesis Outline 4

IV

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

CHAPTER 2 LITERATURE REVIEW

2.1 Introduction 5

2.2 Multilevel Inverter Topologies 6

2.2.1 H-Bridge Cascaded Multilevel Inverter 6

2.2.2 Diode Clamped Multilevel Inverter 7

2.2.3 Flying Capacitor Multilevel Inverter 8

2.3 PEM Fuel Cells 9

2.4 Multilevel Inverter PWM Modulation Startegies 11

2.4.1 Pulse Width Modulation 12

2.4.2 Sinusoidal Pulse Width Modulation 12

2.4.3 Selective Harmonic Elimination Pulse Width Modulation 13

2.5 Total Harmonic Distortion 14

2.6 Critical Review of Related Research 15

CHAPTER 3 METHODOLOGY

3.1 Project Overview

3.2 MA TLAB Simulation Procedure

3.3 H-Bridge Cascaded Multilevel Inverter

3.4 PEM Fuel Cell

3 .4.1 MA TLAB Simulation

3.4. 1.1 Circuit Development

3.4.1.2 Calculation for PWM Technique

3.4.1.3 Data Analysis

v

19

19

20

21

21

21

23

26

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

CHAPTER 4 RESULT AND DISCUSSION

4.1 Introduction 27

4.2 Comparison of Three, Five, Seven and Nine Level H-Bridge 27 Cascaded Multilevel Inverter

4.2.1 Summary of Comparison from MA TLAB for Three, Five 31 Seven and Nine Levels H-Bridge Cascaded Multilevel Inverter

4.3 PWM Switching Technique Result 32

4.3.1 Summary of Comparison from MATLAB for Nine Levels H-Bridge Cascaded Multilevel Inverter 40

4.3.2 Perform Load Test for Three, Five, Seven and Nine Levels H-Bridge Cascaded Multilevel Inverter 41

CHAPTER 5 CONCLUSION AND RECOMMENDATION

5.1 Summary 45

5.2 Recommendation for Future Research 46

REFERENCES 47

APPENDIX A 51

vi

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

LIST OF TABLES

No. Page

3.1 Switching Angles with the Different Modulation Index 28

4.1 Overall results forMA TLAB simulation result 32

4.2 Overall switching angles for complete output waveform with 33 modulation index 0.75

4.3 Overall switching angles for complete output waveform with 34 modulation index 0.8

4.4 Overall switching angles for complete output waveform with 35 modulation index 0.85

4.5 Overall switching angles for complete output waveform with 37 modulation index 0.9

4.6 Overall switching angles for complete output waveform with 38 modulation index 0.95

4.7 Overall switching angles for complete output waveform with 39 modulation index 1

4.8 Overall THD simulated results using fuel cell for nine levels 41 H-Bridge Cascaded Multilevel Inverters

4.9 Overall THD simulated result with capacitive load for three, 44 five, seven and nine levels H-Bridge Cascaded Multilevel Inverters

vii

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

LIST OF FIGURES

No. Page

2.1 H-Bridge Cascaded Multilevel Inverter Circuit 7

2.2 Diode-clamped Multilevel Inverter Circuit Topology 8

2.3 Flying Capacitor Multilevel Inverter Circuit Topology 9

2.4 Sinusoidal Pulse Width Modulation 13

2.5 Two dimensional model of GDL domain 18

3.1 Flowchart for the Simulation Procedure 20

3.2 Circuit design for H-Bridge cascaded by using MA TLAB 22

4.1 Simulation output voltage waveform for three levels 28

4.2 Simulation THD for three levels 28

4.3 Simulation output voltage waveform for five levels 29

4.4 Simulation THD for five levels 29

4.5 Simulation output voltage waveform for seven levels 30

4.6 Simulation THD for seven levels 30

4.7 Simulation output voltage waveform for nine levels 31

4.8 Simulation THD for nine levels 31

4.9 Simulated output voltage waveform using fuel cell for nine 33 levels inverter with modulation index 0.75

4.10 Simulated THD for modulation index 0.75 of nine 33 levels inverter

4.11 Simulated output voltage waveform using fuel cell for nine 34 levels inverter with modulation index 0.8

4.12 Simulated THD for modulation index 0.8 of nine levels 35 inverter

4.13 Simulated output voltage waveform using fuel cell for nine 36 levels inverter with modulation index 0.85

viii

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

4.14 Simulated THD for modulation index 0.85 of nine levels 36 inverter

4.15 Simulated output voltage waveform using fuel cell for nine 37 levels inverter with modulation index 0.9

4.16 Simulated THD for modulation index 0.9 of nine levels 37 inverter

4.17 Simulated output voltage waveform using fuel cell for nine 38 levels inverter with modulation index 0.95

4.18 Simulated THD for modulation index 0.95 of nine levels 39 inverter

4.19 Simulated output voltage waveform using fuel cell for nine 40 levels inverter with modulation index l

4.20 Simulated THD for modulation index 1 of nine levels 40 inverter

IX

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

DC

AC

THD

PEM

PWM

SVM

SHEPWM

SHE

SPWM

RMS

GDL

PSO

MOSFET

LIST OF ABBREVIATIONS

Direct Current

Alternating Current

Total Harmonic Distortion

Proton Exchange Membrane

Pulse Width Modulation

Space Vector Modulation

Selective Harmonic Elimination Pulse Width Modulation

Selective Harmonic Elimination

Sinusoidal Pulse Width Modulation

Root Mean Square

Gas Diffusion Layers

Particle Swarm Optimization

Metal Oxide Semiconductor Field Effect Transistor

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

SIMULASI SATU FASA PENYONGSANG BERBILANG ARAS TANPA PENGUBAH BAGI KUASA SEL BAHAN API DENGAN MENGGUNAKAN

TOPOLOGI LATA TETIMBANG-H

ABSTRAK

Tesis ini mensimulasi satu fasa penyongsang berbilang aras tanpa pengubah bagi kuasa sel bahan api. Penyongsang berbilang aras dibina menggunakan litar lata Tetimbang-H bagi menghasilkan voltan keluaran pada tahap tiga, lima, tujuh dan sembilan peringkat. Ia dikendalikan tanpa pengubah untuk mendapatkan voltan nominal iaitu 240V. Ia memerlukan voltan DC (arus terus) dari sel bahan api yang akan menukar kepada voltan nominal AC (arus ulang alik). Kajian ini membincangkan tentang bentuk voltan keluaran daripada lata penyonsang Tetimbang-H berbilang aras seumpama sebagai gel om bang sinus tulen menerusi simulasi. Simulasi ini menggunakan perisian MA TLAB untuk mendapatkan voltan keluaran dari sel bahan api dan lata penyongsang topologi Tetimbang-H berbilang aras. Topologi ini adalah untuk mendapatkan nilai optimum sudut voltan. Keputusan optimum sudut voltan akan mengurangkan jumlah herotan harmonik terendah dan akan digunakan dalam kajian ini. Keputusan simulasi akan dibandingkan berdasarkan keputusan THD. Apabila meningkatnya tahap tiga sehingga tahap sembilan peringkat, THD menunjukkan peningkatan yang ketara pengurangan dari 36.13% kepada 10.14%. Oleh itu, antara tahap tiga sehingga tahap sembilan peringkat lata penyonsang Tetimbang-H berbilang aras , hanya tahap sembilan peringkat yang dipilih untuk analisis selanjutnya. Analisis adalah menggunakan teknik pensuisan PWM (permodulatan Iebar denyut). Keputusan perbandingan analisis bagi tahap sembilan peringkat untuk indeks modulasi 0.75 sehingga 1 telah diperolehi bahawa 10.14 %. Penyelidikan diteruskan menggunakan indeks permodulatan 1 untuk mensimulasikan penyongsang bertingkat tahap tiga, lima, tujuh dan sembilan dengan beban kapasitif. Keputusan peratusan THD ialah terdapat sedikit perbezaan apabila penambahan peringkat. Daripada analisis simulasi di atas didapati bahawa THD sistem akan dikurangkan dengan meningkatkan bilangan peringkat dalam gelombang keluaran dan dengan itu kecekapan sistem akan diperbaiki.

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

SIMULATION OF SINGLE PHASE FUEL CELL POWERED TRANSFORMERLESS MULTILEVEL INVERTER USING H-BRIDGE

CASCADE TOPOLOGY

ABSTRACT

In this thesis, a multilevel inverter is constructed using H-Bridge Cascaded circuit to obtain output voltage for three, five, seven and nine level. It is operated without transformer to obtain a nominal voltage of240V. It needs DC voltage from fuel cell that will convert to the AC nominal voltage. This research was discussed about the output voltage waveform of the H-Bridge Cascaded multilevel inverter approaches the pure sine wave simulation. The simulation uses MA TLAB software to get the output waveform from fuel cell and the H-Bridge cascaded multilevel inverter topology. The topology is to obtain optimal values of voltage angle. The optimum voltage angle results will reduce the lowest (THD) total harmonic distortion and to be implemented in this research. The simulation results will be compared based on the THD results. As the level increases from three to nine levels, the THD shows significant improvement of reduces from 36.13% to 10.14%. Therefore, among three to nine levels of H-Bridge Cascaded multilevel inverter, only the nine levels was chosen for further analysis. The analysis was using SHEPWM switching technique. Comparison between the results analysis of nine levels for modulation indexes 0.75 to 1, has obtained that 10.14% is the best THD results. The comparison results are approximately equal between fuel cell and reference of previous researcher based on the simulation. Therefore, fuel cell also can be used as DC voltage source transformerless multilevel inverter.

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

CHAPTERl

INTRODUCTION

1.1 Background Study

The inverter is an electronic component used in a wide range of applications that

converts direct current (DC) to alternating current (AC). While, if compared to the

traditional two-level voltage source inverters, the stepwise output voltage is the major

advantage of multilevel inverters (Yousefpoor, et al. 2012).

Multilevel inverters have received more interest in power electronics systems

and industrial applications because of their increasing use for commercial. For example,

a multilevel inverter is suitable for connecting distributed DC energy sources (solar

cells, fuel cells and rectified output of wind turbines) to an existing AC power grid

(Ray, et.al. 2009).

In recent years, among the different topologies for multilevel converters, the

cascaded multilevel inverter has received special attention due to its modularity and

simplicity of control (Jeevabharathi & Padmathilagam, 2012).

1

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

Normally, the inverter of 50Hz uses transformer. It is usually big in size, heavy

and expensive. It also has high losses, so it will reduce its efficiency. A transformerless

multilevel inverter is more suitable in order to reduce the size, cost and it can also

increase the efficiency and reduce harmonics.

The advantages mentioned above cau~e this thesis proposed a simulation of fuel

cell transformerless multilevel inverter. The multilevel is constructed by cascaded full

bridge circuit to obtain three, five, seven and nine levels. It is operated without

transformer to obtain a nominal voltage of 240V. It needs DC voltage from fuel cell

which will convert to the AC nominal voltage. Moreover, the advantages of multilevel

inverter are higher power quality, better electromagnetic compatibility, lower switching

losses, higher voltage capability and transformerless at distribution voltage level,

thereby reducing the costs (Taghizadeh &Tarafdar, 2008).

1.2 Problem Statement

The inverters are developed by using electronic components which produce

harmonics. The simplest technique to invert DC power into AC power is to generate a

square wave. However, not only the harmonic content of the square wave is relatively

high, but also the efficiency of this waveform is relatively low.

2

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

In a general power electronic design, most inverters in the world require a low

frequency. The low frequency (50Hz) inverter uses transformer that is big in size, heavy

and expensive. It is operated by battery which drop quickly when connected to the load,

and also its life time is not long.

1.3 Objectives

The aims of the research of fuel cell powered transformerless multilevel inverters are:

a) to develop H-Bridge cascaded multilevel inverter.

b) to optimize switching angle

c) to simulate fuel cell powered transformerless multilevel inverter.

1.4 Scope of Work

The goal of this research is to simulate fuel cell powered transformerless of

single phase H-Bridge Cascaded multilevel inverter. This project will simulate H­

Bridge Cascaded multilevel inverter topology that required least number of components

compared with the other examples. MA TLAB/Simulink is used to simulate voltage and

total harmonic distortion in the single phase multilevel inverter design circuits.

3

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

1.5 Thesis Outline

This thesis consists of five important chapters. Chapter one introduces the

background of the project, objectives, problem statement, scope of work and thesis

outline.

Chapter two provides literature review related to overall project. Including

information on operation of fuel cell and multilevel inverter, multilevel inverter

topologies and total harmonic distortion (THD) analysis.

Chapter three contains description of the methodologies on how this project is

conducted in sequence. This project is based on software and circuit design. In this

stage, MA TLAB/Simulink is fully utilized to design and simulate the fuel cell powered

and single phase multilevel inverter.

Chapter four provides the detailed results and discussion that can be obtained

from this project. The simulation results to be discussed including the output voltage

waveform and THD.

Finally, chapter five presents the conclusion of the thesis along with the

summary of results. Future work has also been recommended.

4

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

CHAPTER2

LITERATURE REVIEW

2.1 Introduction

Multilevel inverters are commonly used in industrial applications to overcome the

major disadvantages presented by classical two level inverters. Thus, more interest is

focused on the field of high voltage and high power applications taking into account the

power quality delivered by these inverters (Kouzou, et al. 2011 ). Referring to that

research, the multilevel inverters have drawn tremendous interest in the power industry.

For these reasons, a new family of multilevel inverters has emerged as the solution for

working with higher voltage levels and providing an enhanced power quality.

The three major physical domains of fuel cell systems are electrical, fluidic, and

thermal. A stand-alone proton exchange membrane (PEM) fuel cell stack itself cannot

be used directly as an energy supply. It requires stack control and energy management.

DC output voltage of fuel cell is highly dependent on the current which imposes a high­

output voltage variation. Most of the DC electrical devices is not acceptable for the

voltage variation range. Besides, the fuel cell system must be connected to an inverter to

provide alternating current if the electrical device needs an AC supply (Gao, et al.

2011).

5

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

2.2 Multilevel Inverter Topologies

Multilevel inverter can be found in many different topologies. Three most

popular topologies usually used are H-Bridge Cascade multilevel inverter, Diode

Clamped multilevel inverter and Flying Capacitor multilevel inverter.

2.2.1 H-Bridge Cascaded Multilevel Inverter

Multilevel voltage-source inverters are a suitable configuration to reach high

power ratings and high quality output waveforms besides reasonable dynamic

responses. The cascaded multilevel inverter has received special attention among the

different topologies for multilevel converters, due to its modularity and simplicity of

control. Furthermore, inverter principle operation is usually based on synthesizing the

desired output voltage waveform from several steps of voltage and typically obtained

from de voltage sources (Jeevabharathi, et al. 2010).

Topologies based on series-connected H-bridge inverters are particularly

attractive among multilevel inverter structures, due to their modularity and simplicity of

control. Different sinusoidal pulse width modulation (PWM) and space-vector PWM

schemes are suggested to control the output voltage and reduce the undesired harmonics

for multilevel inverters (Hagh, et al. 2009). This topology has a fewer component count

than the other multilevel inverter.

H-Bridge Cascaded multilevel inverter can generate almost sinusoidal staircase

voltage with each bridge has its own separated DC source (Verma, et al. 2011). This

topology can optimize circuit layout. Therefore packaging is possible because each level

6

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

has the same structure. Besides, there are no extra clamping diodes or voltage-balancing

capacitors. Soft-switching techniques can also be used to reduce switching losses and

device stresses (Chin, et al. 2008). Figure 2.1 displays the circuit of H-Bridge Cascaded

multilevel inverter.

Vs

Vt V2

V1

Figure 2.1: H-Bridge Cascaded Multilevel Inverter Circuit

2.2.2 Diode Clamped Multilevel Inverter

Diode-clamped inverter also known as Neutral Point Clamped Inverter was

introduced in the early 80' s and has been extensively used today in various applications.

The advantage is when the level increases the harmonic content is low enough to avoid

the need for filters thus the efficiency is high because all devices are switched at the

fundamental frequency (Panagis, et al. 2008).

7

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

Moreover, this multilevel inverter has the easy switching control and the

protection circuit required is least compared to the other inverter. For the real power

flow is difficult because the intermediate DC levels will tend to overcharge or discharge

without precise monitoring and control and the number of clamping diodes required is

quadratic related to the number of levels, which can be cumbersome for units with a

high number of levels (Rodriguez, et al. 2002). Most of the applications of this inverter

are as motor drives.

, .....

Figure 2.2: Diode-clamped Multilevel Inverter Circuit Topology

2.2.3 Flying Capacitor Multilevel Inverter

The structure of this inverter is similar to the diode-clamped multilevel inverter

except that instead of using clamping diodes, the inverter uses capacitors in their place.

This topology has a ladder structure of DC side capacitors, where the voltage on each

capacitor differs from the next capacitor. The voltage increment between two adjacent

capacitor legs gives the size of the voltage steps in the output waveform (Khazraei, et al.

2010).

8

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

The most common problem associated with the Flying Capacitor Multilevel

Inverter (FCMI) is the capacitor balancing. The proper balancing is essential for the

FCMI since the voltage on the capacitors will set the voltage steps on the output

waveform. If the capacitors get too unbalanced, the output will have a higher THD and

the load will not work properly, especially if it is a motor. (Maldonado, et al. 2012)

Figure 2.3: Flying Capacitor Multilevel Inverter Circuit Topology

2.3 PEM fuel cells

In general, a basic PEM fuel can be made of three components. There are namely an

anode that accommodates the fuel, a cathode that supplies oxidant, and an electrolyte

which separates the anode and the cathode and provides a passage for the transport of

ions. Three distinct components the catalyst layer, the gas diffusion layer and the gas

channel are owned by both the anode and the cathode. The fuel and the oxidant are

distributed through the gas channel to the diffusion layer across the fuel cell. The gas

diffusion layer and the catalyst layer are made of porous materials so that the fuel and

the oxidant can be further transported from the diffusion layer to the catalyst layer

9

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

where electro-chemical reactions take place in order to generate electricity (Carcadea, et

al. 2007).

William Grove was the first person, who in 1839 demonstrated the fuel cell and

explained principle of its operation. He noticed that during the electrolysis of water the

energy is consumed. Because the electrolysis process is reversible, during the hydrogen

and oxygen recombined, an electric current is produced (Eugeniusz, et al. 2006).

One of electrochemical devices which directly convert chemical energy to electrical

energy without combustion is fuel cell. Similar to batteries, fuel cells are made of two

electrodes with a conductive electrolyte sandwiched in between. Besides, fuel cells are

different from batteries in that they require a constant source of fuel and oxygen to run,

but they can produce electricity continually for as long as these inputs are supplied

(Rahul, et al. 2012).

The fuel for the fuel cell can be hydrogen or any other hydrogen-containing

compound which on reprocessing can produce hydrogen. At the hydrogen electrode

(anode), hydrogen ions (protons) and electrons are formed. Protons migrate through the

electrolyte to the oxygen electrode (cathode) while electrons move through an external

circuit to a load and then return to the cathode. At the oxygen electrode, oxygen,

hydrogen and electrons combine to form water. Thus, by forcing the electrons to take an

external path, low temperature direct energy conversion is achieved (Raissi et al. 2006)

10

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

2.4 Multilevel Inverter PWM Modulation Startegies

In general, modulation control methods are fundamental switching frequency and

high switching frequency PWM. In fundamental switching frequency there are two

methods for controlling the modulation which is Space Vector Modulation (SVM) and

Selective Harmonic Elimination Pulse Width Modulation (SHEPWM). While for H­

Bridge Cascade topology, MATLAB/Simulink is being chosen to be implemented with

the SHEPWM method.

To control the output voltage and reduce the undesired harmonics, different

sinusoidal pulse width modulation (PWM) and space-vector PWM schemes are

suggested for multilevel inverters. However, PWM techniques are not able to eliminate

low-order harmonics completely. Another approach is to choose switching angles so

that specific lower order dominant harmonics are suppressed. This method is known as

selective harmonic elimination (SHE) or programmed PWM technique in technical

literatures. (Hagh et al. 2009).

According to Fourier analysis, choosing the right values of the switching angles can

control the amplitudes of the harmonic components of the inverter output, including the

amplitude of the fundamental frequency. (Al-Judi, et al.2011).

11

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t

2.4.1 Pulse Width Modulation

In the early 1970s, majority ofPWM inverters used PWM techniques based on a

method of sampling. Sinusoidal pulse width modulation is one of the primitive

techniques, which used to suppress harmonics presented in the quasi-square wave.

Over the years, PWM techniques have been developed where the objectives are

to improve performance, to simplify the PWM strategies and subsequent

microprocessor implementations, to produce minimized harmonic distortion, and to

reduce switching losses. Principles of several two-level carrier-based PWM techniques

have been extended as means of controlling the active devices in a multilevel converter.

In order to use PWM method, the basic knowledge about the method is to

control two or more signal in condition turn ON and turn OFF in several periods.

2.4.2 Sinusoidal Pulse Width Modulation.

The most popular control technique for traditional two-level inverters is the

sinusoidal pulse width modulation method (SPWM). The term sinusoidal PWM refers

to the production of PWM outputs with sine wave as the modulating signal. The ON and

OFF instants of a PWM signal in this case can be determined by comparing a reference

sine wave (the modulating wave) with a high frequency triangular wave (the carrier

wave) as shown in Figure 2.2 . The sinusoidal PWM technique is commonly used in

industrial applications. The frequency of the modulating wave determines the frequency

12

© T

his ite

m is

pro

tect

ed by o

rigin

al co

pyrigh

t