Predictive Control of Three Phase AC/DC Converters

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74 CHAPTER 4. PREDICTIVE DIRECT POWER CONTROL 650 600 VF-CSF-P-DPC 200 u La i La 20 (b) (a) U DC 0.24 0.26 0.28 0.3 0.32 0.34 550 ψ La 500 450 0 0 400 350 300 −20 250 0.24 0.26 0.28 0.3 0.32 0.34 −200 0.24 0.26 0.28 0.3 0.32 0.34 500 8000 400 300 200 100 0 7000 6000 5000 4000 P Q (d) (c) u P a 0.24 0.25 0.26 0.27 0.28 0.29 0.3 0.31 0.32 0.33 −100 −200 3000 2000 −300 −400 −500 0.24 0.26 0.28 0.3 0.32 0.34 Figure 4.27: Transient operation of VF-CSF-P-DPC, step change of referenced DC voltage U DCref from 300 V to 600 V: (a) referenced and measured DC voltage U DC [V], (b) line voltage u La [V], estimated virtual flux ψ La [Wb] and line current i La [A], (c) VSC input voltage u P a [V], (d) referenced and measured active P [W]and reactive power Q [var] 1000 0 4.9 Summary Principles of Model Predictive Control with Finite control Sets (FS-MPC) as well as Virtual Flux approach for CSF-P-DPC have been presented in this Chapter. In view of switching frequency, control methods have been divided into variable (VSF) and constant switching frequency (CSF) approaches. Control Method t set [µs] t r [µs] VSF-P-DPC 300 125 HC-VSF-P-DPC 300 125 FL-VSF-P-DPC 300 200 CSF-P-DPC 300 250 VF-CSF-P-DPC 300 250 Table 4.8: Dynamic properties of P-DPC methods for P ref step change The VSF based methods have following advantages:
4.9. SUMMARY 75 Control Method t set [ms] t r [ms] Overshot [%] VSF-P-DPC 45 13 4.5 HC-VSF-P-DPC 43 13 5 FL-VSF-P-DPC 45 13 4.5 CSF-P-DPC 54 17 3.3 VF-CSF-P-DPC 54 17 3.3 Table 4.9: Dynamic properties of P-DPC methods for U DCref step change • very high dynamics in transient states, • simple and intuitive control scheme, • control flexibility due to cost function approach. However, the main disadvantages are: • variable switching frequency, • high sampling frequency requirement, • sensitivity on system parameters mismatch (see Section 5.1), • bipolar transistor switchings. Some of above drawbacks can be eliminated by cost function modifications, like in HC-VSF-P-DPC (Section 4.4), or FL-VSF-P-DPC (Section 4.5). Also, these problems can be naturally omitted by fixing switching frequency, like in CSF-P- DPC (Section 4.6). The CSF approach has following advantages: • constant switching frequency, • very high dynamics in transient states (comparative to VSF methods), • work with low sampling frequency ability, • AC-side voltage sensorless operation, • unipolar transistor switchings. This method also is based on mathematical model of the system, and has following drawbacks: • more complicated control scheme, • sensitivity to system parameters mismatch, which has been overcome by introducing an on-line AC-side choke inductance estimation algorithm (see Section 5.2).
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WARSAW UNIVERSITY OF TECHNOLOGY Fac
Page 5 and 6:
Contents Contents i 1 Introduction
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CONTENTS iii List of Symbols and Ab
Page 11 and 12:
Chapter 1 Introduction AC/DC Voltag
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Based Trajectory Based Deadbeat Con
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5 which properties are deteriorated
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Chapter 2 Voltage Source Converter
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(Sa=1, Sc=0) UP2 (Sa=1, UP1 Sb=1, S
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IL UL jωLIL UL jωLIL 2.2. MATHEMA
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ILα 1 sL+RSα - ULα 32IDC 1 sCUDC
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2.3. SUMMARY 15 2.3 Summary In this
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Iqref Idref ILq ILd ILq φ uLab UDC
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UDC Filter 20 CHAPTER 3. CONTROL ST
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Qref dP dQ uLab UDC Sabc 22 CHAPTER
Page 34 and 35: 24 CHAPTER 3. CONTROL STRATEGIES FO
Page 36 and 37: Qref Pref uLab UDC Sabc 26 CHAPTER
Page 38 and 39: UDC Filter 28 CHAPTER 3. CONTROL ST
Page 40 and 41: ILq φ ωL 30 CHAPTER 3. CONTROL ST
Page 42 and 43: Lα 32 CHAPTER 3. CONTROL STRATEGIE
Page 51 and 52: Chapter 4 Predictive Direct Power C
Page 53 and 54: 4.3. VARIABLE SWITCHING FREQUENCY P
Page 55 and 56: UPdqUDC Qref UDCSabc uLab iLab 4.3.
Page 57 and 58: UPdqUDC UDCSabc uLab iLab 4.4. CURR
Page 59 and 60: UPdqUDC Qref Pref UDCSabc uLab iLab
Page 61 and 62: 4.6. CONSTANT SWITCHING FREQUENCY P
Page 63 and 64: PP1 fq1 fq2 PP4 PP5 PP6 PP3 fp3 fp3
Page 65 and 66: Sb Sc Sa Sb Sa Sc Sb Sa 4.6. CONSTA
Page 67 and 68: fqi fpi Qref Sabc 4.6. CONSTANT SWI
Page 69 and 70: 4.7. VF BASED CSF - PREDICTIVE DIRE
Page 71 and 72: Qref fpi Sabc iLab 4.7. VF BASED CS
Page 73 and 74: 4.8. SIMULATION RESULTS 63 200 150
Page 77 and 78: 4.8. SIMULATION RESULTS 67 Mag (% o
Page 83: 4.8. SIMULATION RESULTS 73 650 600
Page 87 and 88: Chapter 5 Investigations of Control
Page 89 and 90: 5.1. ROBUSTNESS TO PARAMETERS MISMA
Page 91 and 92: Sabc UDC UPαβ UPαβ Lest Lest UP
Page 93 and 94: 5.4. LINE VOLTAGE DISTURBANCES 83 (
Page 95 and 96: 5.4. LINE VOLTAGE DISTURBANCES 85 (
Page 97 and 98: 5.4. LINE VOLTAGE DISTURBANCES 87 C
Page 99 and 100: Chapter 6 Experimental Study Experi
Page 101 and 102: 6.1. STEADY STATE OPERATION 91 (a)
Page 103 and 104: 6.1. STEADY STATE OPERATION 93 Cont
Page 105 and 106: 6.2. TRANSIENT OPERATION 95 (a) ST-
Page 111 and 112: 6.3. OPERATION WITH LOW SWITCHING F
Page 117: 6.4. SUMMARY 107 Control Method t s
Page 120 and 121: 110 CHAPTER 7. SUMMARY AND FINAL CO
Page 122 and 123: 112 BIBLIOGRAPHY [11] K. Hyosung an
Page 124 and 125: 114 BIBLIOGRAPHY [38] A. Nasiri,
Page 126 and 127: 116 BIBLIOGRAPHY [66] F. Morel, J.
Page 128 and 129: 118 BIBLIOGRAPHY 13. A. Lopez de He
Page 131 and 132: Appendix A Coordinate transformatio
Page 133 and 134: q β A.2. ROTATING SYSTEM 123 A.2 R
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Appendix B Predictive Current Contr
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∆ILαβP6 ∆ILαβP5 Figure B.2:
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Figure B.4: Vector diagram of predi
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132 APPENDIX C. PREDICTIVE DIRECT P
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List of Symbols and Abbreviations S
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137 Symbols Description Definition
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List of Figures 1.1 Conjunction bet
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LIST OF FIGURES 141 5.3 Line curren
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LIST OF TABLES 143 B.2 An example o
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Predictive Control of Three Phase AC/DC Converters

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