vii TABLE OF CONTENTS CHAPTER 1 TITLE PAGE DECLARATION ii DEDICATION iii ACKNOWLEDGEMENT iv ABSTRACT v ABSTRAK vi TABLE OF CONTENTS vii LIST OF TABLES xi LIST OF FIGURES xv LIST OF SYMBOLS xvii LIST OF ABBREVIATIONS xviii INTRODUCTION 1.1 Introduction 1 1.2 Project Background 2 1.2.1 Reactive Power 3 1.2.2 Application in TNB System 5 1.3 Problem Statement 5 1.4 Objectives 6 1.5 Scope 7 1.6 Literature Review 7 1.6.1 Modeling System using PSCAD 8 1.6.2 Circuit Simulation 9 1.6.3 Performance Analysis 9 Report Outline 9 1.7 viii 2 CAPACITOR BANK 2.1 Introduction 11 2.2 Capacitor Bank 12 2.2.1 Power Factor Correction 12 2.2.2 Capacitor Unit 15 2.2.3 Capacitor Capabilities 17 2.2.4 System Configuration 18 Installation in TNB System 20 2.3.1 System Protection 21 2.3.2 Failure in Capacitor Unit 22 Summary 22 2.3 2.4 3 ANALYSIS ON FAILURE CAPACITOR BANK 3.1 Introduction 23 3.2 Failure of Capacitor Unit 24 3.3 Method Detecting Unbalance 24 3.3.1 Current Detection Method 25 3.3.2 Voltage Detection Method 30 Application and Design of Capacitor Bank 32 3.4.1 Ungrounded Single Wye 32 3.4.2 Ungrounded Double Wye 33 3.4.3 Grounded Single Wye 34 3.4.4 Grounded Double Wye 34 Summary 35 3.4 3.5 4 MODELING FOR PSCAD SIMULATION 4.1 Introduction 36 4.2 Data Gathering and Analysis Techniques 37 4.3 Operation Capacitor Bank in the System 38 4.4 Capacitor Bank Model A 40 4.4.1 Design with Capacitor Unit 40 4.4.2 Design with Capacitor Elements 40 Capacitor Bank Model A 42 4.5.1 42 4.5 Design with Capacitor Unit ix 4.6 5 4.5.2 Design with Capacitor Elements 42 Summary 44 RESULT AND DISCUSSION 5.1 Introduction 45 5.2 Operation Capacitor Bank in the System 45 5.3 Analysis on Failure of Capacitor Elements: Model A 46 5.3.1 Case 1: Elements Failure at Same Group 48 5.3.2 Case 2: Elements Failure at Different Group 52 5.3.3 Case 3: Elements Failure at Same Group 55 and Different Group (All Elements) 5.3.4 Case 4: Elements Failure at Same Group 58 and Different Group (One Elements) 5.4 Analysis on Failure of Capacitor Units: Model A 59 5.4.1 Case 1: No Elements Failure 62 5.4.2 Case 2: Capacitor Unit Dropped to 9.00 µ F 62 (4 Elements Failure at Left Bank) 5.4.3 Case 3: Capacitor Unit Dropped Based 64 Elements Failure at Left Bank 5.4.4 Case 4: Capacitor Unit Dropped to 9.82 µ F 65 (2 Elements Failure at Both Bank) 5.5 Analysis on Failure of Capacitor Elements: Model B 68 5.5.1 Case 1: Elements Failure at Same Group 69 5.5.2 Case 2: Elements Failure at Different Group 74 5.5.3 Case 3: Elements Failure at Same Group 77 and Different Group (All Elements) 5.5.4 Case 4: Elements Failure at Same Group 80 and Different Group (One Elements) 5.6 Analysis on Failure of Capacitor Units: Model B 81 5.6.1 Case 1: No Elements Failure 85 5.6.2 Case 2: Capacitor Unit Dropped to 24.70 µ F 85 (6 Elements Failure at Left Bank) x 5.6.3 Case 3: Capacitor Unit Dropped Based 87 Elements Failure at Left Bank 5.6.4 Case 4: Capacitor Unit Dropped to 28.50 µ F 89 (3 Elements Failure at Both Bank) 6 5.7 Finding 92 5.8 Summary 93 CONCLUSION AND RECOMMENDATION 6.1 General Conclusion 94 6.2 Recommendation for Future Work 96 REFERENCES 97 xi LIST OF TABLES TABLE NO. TITLE PAGE 2.1 Example data capacitor bank installed in TNB 13 4.1 Data for capacitor bank Model A and Model B 37 5.1 Details calculation for capacitor element Model A 49 5.2 Summary results for Case 1 50 5.3 Analysis with one unit element failure (same group) 50 5.4 Analysis with two unit element failure (same group) 51 5.5 Analysis with three unit element failure (same group) 51 5.6 Analysis with four unit element failure (same group) 52 5.7 Analysis with one unit element failure (different group) 53 5.8 Analysis with two unit element failure (different group) 53 5.9 Analysis with three unit element failure (different group) 54 5.10 Analysis with four unit element failure (different group) 54 5.11 Analysis with eleven unit element failure (different group) 55 5.12 Analysis with eleven unit element failure (same and different 56 group) 5.13 Analysis with eight unit element failure (same and different 56 group) 5.14 Analysis with nine unit element failure (same and different 57 group) 5.15 Analysis with ten unit element failure (same and different 57 group) 5.16 Analysis with five unit element failure (same and different 58 group) 5.17 Capacitance Effects due to Failure of Capacitor Elements 60 5.18 Details for calculation for capacitor unit 61 5.19 No failures at the capacitor unit 62 xii TABLE NO. TITLE PAGE 5.20 No capacitor unit failed 63 5.21 Analysis with one capacitor unit dropped to value 9.00 µF 63 5.22 Analysis with two capacitor unit dropped to value 9.00 µF 63 5.23 Analysis with three capacitor unit dropped to value 9.00 µF 64 5.24 Analysis with one capacitor unit dropped to value 10.08 µF 64 5.25 Analysis with one capacitor unit dropped to value 9.82 µF 65 5.26 Analysis with one capacitor unit dropped to value 9.48 µF 65 5.27 Analysis with failure of capacitor unit at both bank (same 66 phase) 5.28 Analysis with failure of capacitor unit at both bank (different 66 phase) 5.29 Analysis with failure of capacitor unit at both bank (different 67 phase) 5.30 Summary analysis with failure of capacitor unit at both 67 banks 5.31 Details for calculation for capacitor element Model B 70 5.32 Summary result for Case 1 71 5.33 Analysis with one unit element failure (same group) 71 5.34 Analysis with two unit element failure (same group) 72 5.35 Analysis with three unit element failure (same group) 72 5.36 Analysis with four unit element failure (same group) 73 5.37 Analysis with five unit element failure (same group) 73 5.38 Analysis with six unit element failure (same group) 74 5.39 Analysis with one unit element failure (different group) 75 5.40 Analysis with two unit element failure (different group) 75 5.41 Analysis with three unit element failure (different group) 76 5.42 Analysis with four unit element failure (different group) 76 5.43 Analysis with four unit element failure (same and different 77 group) xiii TABLE NO. 5.44 TITLE PAGE Analysis with five unit element failure (same and different 78 group) 5.45 Analysis with six unit element failure (same and different 78 group) 5.46 Analysis with seven unit element failure (same and different 79 group) 5.47 Analysis with eight unit element failure (same and different 79 group) 5.48 Analysis with nine unit element failure (same and different 80 group) 5.49 Analysis with seven unit element failure (same and different 81 group) 5.50 Capacitance Effects due to Failure of Capacitor Elements 83 5.51 Details for calculation for capacitor unit 84 5.52 No failures at the capacitor unit 85 5.53 No capacitor unit failed 86 5.54 Analysis with one capacitor unit dropped to value 24.70 µF 86 5.55 Analysis with two capacitor units dropped to value 24.70 µF 86 (same group) 5.56 Analysis with two capacitor units dropped to value 24.70 µF 87 (different group) 5.57 Analysis with one capacitor unit dropped to value 30.19 µF 88 5.58 Analysis with one capacitor unit dropped to value 29.41 µF 88 5.59 Analysis with one capacitor unit dropped to value 28.50 µF 88 5.60 Analysis with one capacitor unit dropped to value 27.45 µF 89 5.61 Analysis with one capacitor unit dropped to value 26.20 µF 89 5.62 Analysis with failure of capacitor unit at both bank (same 90 phase) 5.63 Analysis with failure of capacitor unit at both bank (different 90 phase) xiv TABLE NO. 5.64 TITLE PAGE Analysis with failure of capacitor unit at both bank (different 91 phase) 5.65 Summary analysis on failure of capacitor unit at both bank 91 5.66 Findings for Model A and Model B 92 xv LIST OF FIGURES FIGURE NO. TITLE PAGE 1.1 Modeling power system 4 1.2 Flow chart of project methodology 8 2.1 Power Triangle 13 2.2 Application capacitor bank to substation 14 2.3 Power factor correction 14 2.4 Capacitor bank system 15 2.5 Design for capacitor unit 16 2.6 Complete bay for capacitor bank 20 2.7 System Protection for Capacitor Bank 21 3.1 Statistic failure capacitor bank 24 3.2 Simplified circuit for unbalance current method 25 3.3 Simplified circuit for unbalance method red phase 26 3.4 Simplified circuit for unbalance method yellow phase 28 3.5 Simplified circuit for unbalance method blue phase 29 3.6 Vectorial current summation 30 3.7 Simplified circuit for unbalance voltage method 31 3.8 Ungrounded single Y with using voltage method 33 3.9 Ungrounded double Y with using current method 33 3.10 Grounded single Y with using current method 34 3.11 Grounded double Y with using current method 35 4.1 Installation Capacitor Bank in the System 38 4.2 Circuit for Capacitor Bank 39 4.3 Arrangement for Capacitor Unit of Model A 41 4.4 Arrangement for Capacitor Elements of Model A 41 4.5 Arrangement for Capacitor Unit of Model B 43 4.6 Arrangement for Capacitor Elements of Model B 44 xvi FIGURE NO. TITLE PAGE 5.1 Output for Operation of Capacitor Bank 46 5.2 Design for Arrangements of Capacitor Element Model A 47 5.3 Design for Arrangements of Capacitor Unit Model A 59 5.4 Design for Arrangements of Capacitor Element Model B 68 5.5 Design for Arrangements of Capacitor Unit Model B 82 xvii LIST OF SYMBOLS P - Real Power Q - Reactive Power V - Receiving Voltage E - Sending Voltage C - Capacitance δ - Angle of Sending Voltage θ - Angle of Impedance φ - Angle of Current SA - Sending Apparent Power SB - Receiving Apparent Power µF - Micro Farad Z - Impedance X - Reactance kVA - Unit of Apparent Power kW - Unit of Active Power kVar - Unit of Reactive Power f - Frequency R1 - Total Capacitance Red Left Bank Y1 - Total Capacitance Yellow Left Bank B1 - Total Capacitance Blue Left Bank R2 - Total Capacitance Red Right Bank Y2 - Total Capacitance Yellow Right Bank R2 - Total Capacitance Blue Right Bank I - Unbalance Current xviii LIST OF ABBREVIATIONS Single-Y - Single Wye Double-Y - Double Wye PSCAD - Power System Computer Aided Design TNB - Tenaga Nasional Berhad SVC - Static Var Compensator PF - Power Factor IEEE - International of Electrical & Electronic Eng. CT - Current Transformer MS - Malaysia Standard
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