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Cover image for Instantaneous power theory and applications to power conditioning
Title:
Instantaneous power theory and applications to power conditioning
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Publication Information:
Piscatway, New Jersey : Wiley-IEEE Press, 2007
ISBN:
9780470107614

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Item Category 1
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30000010123525 TK7881.15 A34 2007 Open Access Book Book
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30000010087515 TK7881.15 A34 2007 Open Access Book Book
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30000003481888 TK7881.15 A34 2007 Open Access Book Book
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Summary

Summary

This book presents a deep review of various power theories and shows how the instantaneous active and reactive power theory provides an important basic knowledge for understanding and designing active filters for power conditioning. The only book of its kind, it also demonstrates how the instantaneous active and reactive power theory can be used for combined shunt-series filters and in Flexible AC Transmission Systems (FACTS).


Author Notes

Hirofumi Akagi is Professor of Electrical Engineering at the Tokyo Institute of Technology
Edson Hirokazu Watanabe is Professor of Electrical Engineering at the Federal University of Rio de Janeiro (UFRJ)
Mauricio Aredes is Associate Professor of Electrical Engineering at the Federal University of Rio de Janeiro (UFRJ)


Table of Contents

Prefacep. xiii
1 Introductionp. 1
1.1 Concepts and Evolution of Electric Power Theoryp. 2
1.2 Applications of the p-q Theory to Power Electronics Equipmentp. 4
1.3 Harmonic Voltages in Power Systemsp. 5
1.4 Identified and Unidentified Harmonic-Producing Loadsp. 7
1.5 Harmonic Current and Voltage Sourcesp. 8
1.6 Basic Principles of Harmonic Compensationp. 11
1.7 Basic Principles of Power Flow Controlp. 14
Referencesp. 17
2 Electric Power Definitions: Backgroundp. 19
2.1 Power Definitions Under Sinusoidal Conditionsp. 20
2.2 Voltage and Current Phasors and the Complex Impedancep. 22
2.3 Complex Power and Power Factorp. 24
2.4 Concepts of Power Under Non-Sinusoidal Conditions-Conventional Approachesp. 25
2.4.1 Power Definitions by Budeanup. 25
2.4.1.A Power Tetrahedron and Distortion Factorp. 28
2.4.2 Power Definitions by Fryzep. 30
2.5 Electric Power in Three-Phase Systemsp. 31
2.5.1 Classifications of Three-Phase Systemsp. 31
2.5.2 Power in Balanced Three-Phase Systemsp. 34
2.5.3 Power in Three-Phase Unbalanced Systemsp. 36
2.6 Summaryp. 37
Referencesp. 38
3 The Instantaneous Power Theoryp. 41
3.1 Basis of the p-q Theoryp. 42
3.1.1 Historical Background of the p-q Theoryp. 42
3.1.2 The Clarke Transformationp. 43
3.1.2.A Calculation of Voltage and Current Vectors when Zero-Sequence Components are Excludedp. 45
3.1.3 Three-Phase Instantaneous Active Power in Terms of Clarke Componentsp. 47
3.1.4 The Instantaneous Powers of the p-q Theoryp. 48
3.2 The p-q Theory in Three-Phase, Three-Wire Systemsp. 49
3.2.1 Comparisons with the Conventional Theoryp. 53
3.2.1.A Example #1-Sinusoidal Voltages and Currentsp. 53
3.2.1.B Example #2-Balanced Voltages and Capacitive Loadsp. 54
3.2.1.C Example #3-Sinusoidal Balanced Voltage and Nonlinear Loadp. 55
3.2.2 Use of the p-q Theory for Shunt Current Compensationp. 59
3.2.2.A Examples of Appearance of Hidden Currentsp. 64
3.2.2.A.1 Presence of the Fifth Harmonic in Load Currentp. 64
3.2.2.A.2 Presence of the Seventh Harmonic in Load Currentp. 67
3.2.3 The Dual p-q Theoryp. 68
3.3 The p-q Theory in Three-Phase, Four-Wire Systemsp. 71
3.3.1 The Zero-Sequence Power in a Three-Phase Sinusoidal Voltage Sourcep. 72
3.3.2 Presence of Negative-Sequence Componentsp. 74
3.3.3 General Case-Including Distortions and Imbalances in the Voltages and in the Currentsp. 75
3.3.4 Physical Meanings of the Instantaneous Real, Imaginary, and Zero-Sequence Powersp. 79
3.3.5 Avoiding the Clarke Transformation in the p-q Theoryp. 80
3.3.6 Modified p-q Theoryp. 82
3.4 Instantaneous abc Theoryp. 87
3.4.1 Active and Nonactive Current Calculation by Means of a Minimization Methodp. 89
3.4.2 Generalized Fryze Currents Minimization Methodp. 94
3.5 Comparisons between the p-q Theory and the abc Theoryp. 98
3.5.1 Selection of Power Components to be Compensatedp. 101
3.6 Summaryp. 102
Referencesp. 104
4 Shunt Active Filtersp. 109
4.1 General Description of Shunt Active Filtersp. 111
4.1.1 PWM Converters for Shunt Active Filtersp. 112
4.1.2 Active Filter Controllersp. 113
4.2 Three-Phase, Three-Wire Shunt Active Filtersp. 116
4.2.1 Active Filters for Constant Power Compensationp. 118
4.2.2 Active Filters for Sinusoidal Current Controlp. 134
4.2.2.A Positive-Sequence Voltage Detectorp. 138
4.2.2.A.1 Main Circuit of the Voltage Detectorp. 138
4.2.2.A.2 Phase-Locked-Loop (PLL) Circuitp. 141
4.2.2.B Simulation Resultsp. 145
4.2.3 Active Filters for Current Minimizationp. 145
4.2.4 Active Filters for Harmonic Dampingp. 150
4.2.4.A Shunt Active Filter Based on Voltage Detectionp. 151
4.2.4.B Active Filter Controller Based on Voltage Detectionp. 152
4.2.4.C An Application Case of Active Filter for Harmonic Dampingp. 157
4.2.4.C.1 The Power Distribution Line for the Test Casep. 158
4.2.4.C.2 The Active Filter for Damping of Harmonic Propagationp. 159
4.2.4.C.3 Experimental Resultsp. 160
4.2.4.C.4 Adjust of the Active Filter Gainp. 168
4.2.5 A Digital Controllerp. 173
4.2.5.A System Configuration of the Digital Controllerp. 174
4.2.5.A.1 Operating Principle of PLL and PWM Unitsp. 175
4.2.5.A.2 Sampling Operation in the A/D Unitp. 177
4.2.5.B Current Control Methodsp. 178
4.2.5.B.1 Modeling of Digital Current Controlp. 178
4.2.5.B.2 Proportional Controlp. 179
4.2.5.B.3 Deadbeat Controlp. 180
4.2.5.B.4 Frequency Response of Current Controlp. 181
4.3 Three-Phase, Four-Wire Shunt Active Filtersp. 182
4.3.1 Converter Topologies for Three-Phase, Four-Wire Systemsp. 183
4.3.2 Dynamic Hysteresis-Band Current Controllerp. 184
4.3.3 Active Filter Dc Voltage Regulatorp. 186
4.3.4 Optimal Power Flow Conditionsp. 187
4.3.5 Constant Instantaneous Power Control Strategyp. 189
4.3.6 Sinusoidal Current Control Strategyp. 192
4.3.7 Performance Analysis and Parameter Optimizationp. 195
4.3.7.A Influence of the System Parametersp. 195
4.3.7.B Dynamic Response of the Shunt Active Filterp. 196
4.3.7.C Economical Aspectsp. 201
4.3.7.D Experimental Resultsp. 203
4.4 Shunt Selective Harmonic Compensationp. 208
4.5 Summaryp. 216
Referencesp. 217
5 Hybrid and Series Active Filtersp. 221
5.1 Basic Series Active Filterp. 221
5.2 Combined Series Active Filter and Shunt Passive Filterp. 223
5.2.1 Example of An Experimental Systemp. 226
5.2.1.A Compensation Principlep. 226
5.2.1.A.1 Source Harmonic Current I[subscript Sh]p. 228
5.2.1.A.2 Output Voltage of Series Active Filter: V[subscript c]p. 229
5.2.1.A.3 Shunt Passive Filter Harmonic Voltage: V[subscript Fh]p. 229
5.2.1.B Filtering Characteristicsp. 230
5.2.1.B.1 Harmonic Current Flowing From the Load to the Sourcep. 230
5.2.1.B.2 Harmonic Current Flowing from the Source to the Shunt Passive Filterp. 231
5.2.1.C Control Circuitp. 231
5.2.1.D Filter to Suppress Switching Ripplesp. 233
5.2.1.E Experimental Resultsp. 234
5.2.2 Some Remarks about the Hybrid Filtersp. 237
5.3 Series Active Filter Integrated with a Double-Series Diode Rectifierp. 238
5.3.1 The First-Generation Control Circuitp. 241
5.3.1.A Circuit Configuration and Delay Timep. 241
5.3.1.B Stability of the Active Filterp. 242
5.3.2 The Second-Generation Control Circuitp. 244
5.3.3 Stability Analysis and Characteristics Comparisonp. 246
5.3.3.A Transfer Function of the Control Circuitsp. 246
5.3.3.B Characteristics Comparisonsp. 247
5.3.4 Design of a Switching-Ripple Filterp. 248
5.3.4.A Design Principlep. 248
5.3.4.B Effect on the System Stabilityp. 250
5.3.4.C Experimental Testingp. 251
5.3.5 Experimental Resultsp. 252
5.4 Comparisons Between Hybrid and Pure Active Filtersp. 253
5.4.1 Low-Voltage Transformerless Hybrid Active Filterp. 255
5.4.2 Low-Voltage Transformerless Pure Shunt Active Filterp. 258
5.4.3 Comparisons Through Simulation Resultsp. 259
5.5 Conclusionsp. 261
Referencesp. 262
6 Combined Series and Shunt Power Conditionersp. 265
6.1 The Unified Power Flow Controller (UPFC)p. 267
6.1.1 FACTS and UPFC Principlesp. 268
6.1.1.A Voltage Regulation Principlep. 269
6.1.1.B Power Flow Control Principlep. 270
6.1.2 A Controller Design for the UPFCp. 274
6.1.3 UPFC Approach Using a Shunt Multipulse Converterp. 281
6.1.3.A Six-Pulse Converterp. 282
6.1.3.B Quasi 24-Pulse Converterp. 286
6.1.3.C Control of Active and Reactive Power in Multipulse Convertersp. 288
6.1.3.D Shunt Multipulse Converter Controllerp. 290
6.2 The Unified Power Quality Conditioner (UPQC)p. 293
6.2.1 General Description of the UPQCp. 294
6.2.2 A Three-phase, Four-Wire UPQCp. 297
6.2.2.A Power Circuit of the UPQCp. 297
6.2.2.B The UPQC Controllerp. 299
6.2.2.B.1 PWM Voltage Control with Minor Feedback Control Loopp. 300
6.2.2.B.2 Series Active Filter Controllerp. 301
6.2.2.B.3 Integration of the Series and Shunt Active Filter Controllersp. 305
6.2.2.B.4 General Aspectsp. 307
6.2.2.C Analysis of the UPQC Dynamicp. 308
6.2.2.C.1 Optimizing the Power System Parametersp. 309
6.2.2.C.2 Optimizing the Parameters in the Control Systemsp. 311
6.2.2.C.3 Simulation Resultsp. 312
6.2.2.C.4 Experimental Resultsp. 320
6.2.3 The UPQC Combined with Passive Filters (Hybrid UPQC)p. 326
6.2.3.A Controller of the Hybrid UPQCp. 331
6.2.3.B Experimental Resultsp. 337
6.3 The Universal Active Power Line Conditioner (UPLC)p. 343
6.3.1 General Description of the UPLCp. 344
6.3.2 The Controller of the UPLCp. 347
6.3.2.A Controller for the Configuration #2 of UPLCp. 355
6.3.3 Performance of the UPLCp. 355
6.3.3.A Normalized System Parametersp. 355
6.3.3.B Simulation Results of Configuration #1 of UPLCp. 360
6.3.3.C Simulation Results of Configuration #2 of UPLCp. 368
6.3.4 General Aspectsp. 370
6.4 Summaryp. 371
Referencesp. 371
Indexp. 375
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