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UNIVERSITI PUTRA MALAYSIA
AHMAD REZAEE JORDEHI
FK 2014 58
AN IMPROVED LEADER PARTICLE SWARM OPTIMISATION ALGORITHM FOR SOLVING FLEXIBLE AC TRANSMISSION SYSTEMS OPTIMISATION PROBLEM IN POWER SYSTEM
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AN IMPROVED LEADER PARTICLE SWARM OPTIMISATION
ALGORITHM FOR SOLVING FLEXIBLE AC TRANSMISSION SYSTEMS
OPTIMISATION PROBLEM IN POWER SYSTEM
By
AHMAD REZAEE JORDEHI
Thesis Submitted to the School of Graduate Studies, Universiti Putra Malaysia,
in Fulfilment of the Requirement for the Degree of Doctor of Philosophy
January 2014
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Dedicated to my dear mother, caring father, kind wife, lovely brothers and sister
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Abstract of thesis presented to the senate of Universiti Putra Malaysia in
fulfilment of requirement of the degree of Doctor of Philosophy
AN IMPROVED LEADER PARTICLE SWARM OPTIMISATION ALGORITHM
FOR SOLVING FLEXIBLE AC TRANSMISSION SYSTEMS OPTIMISATION
PROBLEM IN POWER SYSTEM
By
AHMAD REZAEE JORDEHI
January 2014
Chairman: Jasronita Jasni, PhD
Faculty: Engineering
Line outage contingencies in power systems are likely to result in overloads in branches,
voltage deviations in buses and excessive power losses. The most common approach for
alleviating such consequences is using flexible AC transmission systems (FACTS) devices.
Since overloads are the main concern in line outage contingencies and thyristor-controlled
series compensator (TCSC) has proved to be effective in power flow control, it is used for
mitigating consequences of line outage contingencies. When FACTS devices are utilised in a
power system, they should be allocated optimally.
From the optimisation perspective, optimal allocation of FACTS devices is a very complex
optimisation problem. Heuristic approaches are the most common approaches for solving
FACTS allocation problems. Among heuristics, particle swarm optimisation (PSO) has some
advantages which make it popular in solving FACTS allocation problems.Despite all PSO
advantages, it suffers from premature convergence.Due to PSO’s premature convergence, in
TCSC allocation problem during contingency, it is not able to find near-global solution.
Therefore, considerable amounts of overloads, voltage deviations and power losses are
obtained.
Although existing approaches mitigatePSO’s premature convergence to some extent, they
have some shortcomings that should be addressed carefully.Their explorative capability is not
decreased during the run.In most cases, the mutated object is transferred to new position
either it leads to lower objective value or not. In most of cases, the mutations are applied to
positions or velocities of particles, while applying mutation to the leader may enhance the
leader and push all particles toward better regions of search space.They also do not provide
any mechanism for jumping out particles after stagnation.
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The aim of this research is to develop a new PSO variant called improved leader PSO
(ILPSO) by addressing the mentioned shortcomings of existing premature convergence
mitigation strategies. It should efficiently mitigate premature convergence problem and result
in lower amounts of overloads, voltage deviations and power losses (than existing
algorithms) in D-TCSC allocation problem during line outage contingencies.
The proposed PSO variant features a five-staged successive mutation strategy. The security
enhancement problem is formulated as a multi-objective optimisation problem while its
objectives are minimising overpowerflows, voltage deviations, power losses and also
maximising line utilisation factors. The results of applying improved leader PSO to IEEE 14
bus power system shows its significant outperformance over six other optimisation
algorithms including conventional PSO, mutated PSO, enhanced PSO, harmony search,
genetic algorithm and gravitational search algorithm. Improved leader PSO leads to lower
amount of overpowerflows and power losses with respect to other algorithms, whileit also
results in low values of voltage deviation.ILPSO has also been applied to Malaysian 87 bus
power system (TNB), wherein overloads and power losses are reduced significantly.
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Abstrak tesis yang dikemukakan kepada Senat Universiti Putra Malaysia sebagai memenuhi
keperluan untuk ijazah Doktor Falsafah
ALGORITMA PENAMBAHBAIKAN KETUA PENGOPTIMUMAN KUMPULAN
ZARAH SEBAGAI PENYELESAIAN MASALAH PENGOPTIMUMAN SISTEM
PENGHANTARAN AC FLEKSIBEL DALAM SISTEM KUASA
Oleh
AHMAD REZAEE JORDEHI
Januari 2014
Pengerusi: Jasronita Jasni, PhD
Fakulti: Kejuruteraan
Putusan talian luar jangkaan dalam sistem kuasa mungkin menyebabkan lebihan beban di
cabang, pelencongan voltan dalam bas dan kehilangan kuasa yang berlebihan. Pendekatan
yang paling biasa dalam menangani kesan-kesan tersebut ialah dengan menggunakan peranti
penghantaran AC fleksibel (FACTS). Oleh kerana lebihan beban adalah kebimbangan utama
dalam putusan talian luar jangkaan dan penggunaan pemampas siri kawalan-thyristor telah
terbukti berkesan dalam kawalan aliran kuasa, ia digunakan untuk menangani kesan-kesan
putusan talian luar jangkaan. Apabila peranti FACTS digunakan dalam sistem kuasa, ia harus
diperuntukkan secara optimum.
Dari perspektif pengoptimuman, pengagihan optimum bagi peranti FACTS merupakan
masalah pengoptimuman yang sangat kompleks. Pendekatan heuristik adalah pendekatan
yang paling biasa bagi menyelesaikan masalah pengagihan FACTS. Di kalangan heuristic,
pengoptimuman kumpulan zarah (PSO) mempunyai kelebihan yang menjadikannya popular
dalam menyelesaikan masalah pengagihan FACTS. Walaubagaimanapun, PSO mengalami
penumpuan pramatang. Disebabkan penumpuan pramatang PSO, penyelesaian hampir-
sejagat dalam masalah pengagihan TCSC semasa luar jangkaan tidak dapat dikenalpasti. Oleh
yang demikian, sejumlah besar lebihan beban, pelencongan voltan dan kehilangan kuasa
dapat diperolehi.
Walaupun pendekatan yang sedia ada dapat menangani penumpuan pramatang PSO hingga
ke suatu tahap tertentu,ia mempunyai beberapa kelemahan yang harus ditangani secara teliti.
Keupayaan ia yang menjelajah tidak berkurangan semasa dikendalikan. Dalam kebanyakan
kes, objek yang bermutasi dipindah ke kedudukan baru samaada ia membawa kepada nilai
objektif yang lebih rendah atau tidak. Dalam kebanyakan kes,mutasi digunakan pada
kedudukan atau halajuzarah, manakala penggunaan mutasi boleh memperbaiki ketua dan
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menolak kesemua zarah ke arah kawasan ruang carian yang lebih baik. Ianya juga tidak
memberikan apa-apa mekanisme untuk zarah loncatan keluar selepas penggenangan.
Tujuan kajian ini adalah untuk membangunkan satu varian PSO baru yang dikenali sebagai
penambahbaikan ketua PSO (ILPSO) dengan menangani kelemahan yang disebut sebagai
strategi pengurangan penumpuan pramatang yang sedia ada. Ia secara efisiennya dapat
menangani masalah penumpuan pramatang dan menghasilkan jumlah yang rendah pada
lebihan beban, pelencongan voltan dan kehilangan kuasa (berbanding algoritma yang sedia
ada) dalam masalah pengagihan D-TCSC ketika gangguan luar jangkaan pada talian.
Varian PSO yang dicadangkan mempunyai strategi mutasi berturutan lima-peringkat.
Masalah peningkatan keselamatan dirumuskan sebagai masalah pengoptimuman pelbagai
objektif dimana objektifnya adalah meminimumkan lebihan aliran kuasa, pelencongan voltan,
kehilangan kuasadan juga memaksimumkan faktor penggunaan talian. Penggunaan
penambahbaikan ketua PSO pada sistem kuasa 14 bas IEEE menunjukkan prestasi cemerlang
yang ketara ke atas enam algoritma pengoptimuman lain termasuk PSO konvensional, PSO
bermutasi, PSO dipertingkat, carian harmoni, algoritma genetik dan algoritma carian graviti.
Penambahbaikan ketua PSO membawa kepada lebihan aliran kuasa dan kehilangankuasa
yang lebih rendah berbanding lain-lain algoritma, ia juga menghasilkan nilai pelencongan
voltan yang rendah. ILPSO juga telah digunakan pada sistem kuasa 87 bas Malaysia (TNB),
di mana lebihan beban dan kehilangan kuasa dikurangkan dengan ketara.
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ACKNOWLEDGEMENTS
First, I would like to express my gratitude to the creator deity of the universe, for helping me
to complete this thesis.
It has been an honour and pleasure to have Dr. Jasronita Jasni as my supervisor. I am grateful
to her, for the time given to me, for her valued suggestions and encourage. I enjoyed her
support and patience during the very tough moments of the research work and writing of the
thesis.
I would like to express deepest thanks and admiration to Dr. Noor Izzri b. Abd. Wahab and
Prof. Mohd Zainal Abidin b. Ab. Kadir, for their valued helps, discussion and comments. I
would like to express special thanks to my dear mother, father, wife and family for their
everlasting support.
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I certify that a Thesis Examination Committee has met on January 10, 2014 to conduct the final examination of Ahmad Rezaee Jordehi on his thesis entitled "An
improved leader particle swarm optimisation algorithm for solving flexible AC transmission
systems (FACTS) optimisation problem in power system" in accordance with the Universities and University Colleges Act 1971 and the Constitution of the Universiti Putra Malaysia [P.U.(A) 106] 15 March 1998. The Committee recommends that the student be awarded the relevant degree of Doctor of Philosophy.
Members of the Thesis Examination Committee were as follows:
Mohd. Nizar b. Hamidon, PhD
Associate Professor
Faculty of Engineering
Universiti Putra Malaysia
(Chairman) Hashim. b. Hizam, PhD
Associate Professor
Faculty of Engineering
Universiti Putra Malaysia
(Internal Examiner) Chandima Gomes, PhD
Professor
Faculty of Engineering
Universiti Putra Malaysia
(Internal Examiner) Mohammad Shahidehpour, PhD
Professor
Faculty of Engineering
Illinois Institute of Technology
(External Examiner)
NORITAH OMAR, PhD Associate Professor and Deputy Dean
School of Graduate Studies Universiti Putra Malaysia Date:
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This thesis submitted to senate of Universiti Putra Malaysia and has been accepted as
fulfilment of requirement for degree of Doctor of Philosophy. Members of the Supervisory
Committee were follows:
Jasronita Jasni, PhD
Senior Lecturer
Faculty of Engineering
Universiti Putra Malaysia
(Chairman)
Noor Izzri b. Abd. Wahab, PhD
Senior Lecturer
Faculty of Engineering
Universiti Putra Malaysia
(Member)
Mohd Zainal Abidin b. Ab. Kadir, PhD
Professor
Faculty of Engineering
Universiti Putra Malaysia
(Member)
_______________________________
BUJANG BIN KIM HUAT, PhD
Professor and Dean
School of Graduate Studies
Universiti Putra Malaysia
Date:
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Declaration by graduate student
I hereby confirm that:
this thesis is my original work;
quotations, illustrations and citations have been duly referenced;
this thesis has not been submitted previously or concurrently for any other degree at any
other institutions;
intellectual property from the thesis and copyright of thesis are fully-owned by Universiti
Putra Malaysia, as according to the Universiti Putra Malaysia (Research)Rules 2012;
written permission must be obtained from supervisor and the office of Deputy Vice
Chancellor (Research and Innovation) before thesis is published in book form;
there is no plagiarism or data falsification/fabrication in the thesis, and scholarly integrity
is upheld as to the Universiti Putra Malaysia (Graduate Studies) Rules 2003 (Revision
2012-2013) and the Universiti Putra Malaysia (Research) Rules 2012. The thesis has
undergone plagiarism detection software.
Signature: Date:
Name and Matric No.:
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Declaration by Members of Supervisory Committee
This is to confirm that:
the research conducted and the writing of this thesis was under our supervision;
supervision responsibilities as stated in the Universiti Putra Malaysia (Graduate Studies)
Rules 2003 (Revision 2012-2013) are adhered to.
Signature:
Name of
Chairman of
Supervisory
Committee:
Signature:
Name of
Member of
Supervisory
Committee:
Signature:
Name of
Member of
Supervisory
Committee:
Signature:
Name of
Member of
Supervisory
Committee:
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TABLE OF CONTENTS
Page
DEDICATION ii
ABSTRACT iii
ABSTRAK v
ACKNOWLEDGEMENTS vii
APPROVAL viii
DECLARATION x
LIST OF TABLES xiii
LIST OF FIGURES xvi
CHAPTER
I INTRODUCTION 1
1.1 Overview 1
1.2 Problem Statement 3
1.3 Aim and Objectives 3
1.4 Scope and Limitations 3
1.5 Contribution 3
1.6 Organisation of chapters 3
II THEORETICAL BACKGROUND 4
2.1 An Overview of FACTS Devices 6
2.2 Introduction of FACTS Allocation Problem 6
2.3 Approaches for Solving FACTS Allocation Problem 6
2.3.1 Classical Optimization Methods 6
2.3.2 Approaches based on technical criteria 7
2.3.3 Heuristic approaches 8
2.4 An Overview of PSO 9
2.4.1 Primary version 9
2.4.2 Inertia weight PSO 10
2.5 PSO Applications on FACTS allocation Problem 11
2.6 Premature convergence problem in PSO 18
2.6.1 Self Organised Criticality 19
2.6.2 Prey and predator strategy 19
2.6.3 Charged PSO 20
2.6.4 Using mutation operators 21
III METHODOLOGY 25
3.1 Introduction 25
3.2 Improved leader PSO 28
3.3 Application of ILPSO to D-TCSC allocation problem 29
3.3.1 Problem formulation 29
3.3.2 Algorithms for comparison
31
IV RESULTS AND ANALYSIS 35
4.1 Introduction 35
4.2 Results and Analysis for IEEE 14 bus test system 35
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4.2.1 Introduction of IEEE 14 bus test system 35
. 4.2.2 Contingency analysis and ranking for IEEE 14 bus
power system
36
4.2.3 Finding appropriate weights 37
4.2.4 Results of D-TCSC allocation for the four most
severe contingencies
38
4.2.5 Overall results on IEEE 14 bus power system 59
4.3 Results and analysis of results for Malaysian 87 bus power
system
61
4.3.1 Introduction of Malaysian 87 bus power system 61
4.3.2 Contingency ranking of Malaysian 87 bus power
system
63
4.3.3 Optimisation of Malaysian 87 bus power system by
ILPSO
63
V CONCLUSIONS AND FUTURE RESEARCH DIRECTIONS 69
5.1 Conclusion 69
5.2 Future Research Directions 69
REFERENCES
70
APPENDICES 78
A. Data of test systems 78
B. Pseudocodes and flowcharts 85
C. Contingency ranking of Malaysian 87 bus power system 91
BIODATA OF STUDENT 92
LIST OF PUBLICATIONS 93