Predictive Control of Three Phase AC/DC Converters

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140 LIST OF FIGURES 3.18 Virtual flux estimator with ideal integration . . . . . . . . . . . . . . . 31 3.19 Virtual flux estimator with LPF . . . . . . . . . . . . . . . . . . . . . 31 3.20 Virtual flux estimator with LPF and gain part K . . . . . . . . . . . . 32 3.21 Steady state operation of DPC-SVM . . . . . . . . . . . . . . . . . . . 33 3.22 Steady state operation of ST-DPC . . . . . . . . . . . . . . . . . . . . 34 3.23 Line current harmonics spectrum . . . . . . . . . . . . . . . . . . . . . 34 3.24 Switchings number in DPC-SVM and ST-DPC . . . . . . . . . . . . . 35 3.25 Transient operation of DPC-SVM (P ref step) . . . . . . . . . . . . . . 36 3.26 Transient operation of ST-DPC (P ref step) . . . . . . . . . . . . . . . 37 3.27 Transient operation of DPC methods (P ref step) in zoom . . . . . . . 37 3.28 Transient operation of DPC-SVM and ST-DPC (U DCref step) . . . . . 38 4.1 Active and reactive power derivatives behavior . . . . . . . . . . . . . 44 4.2 Control scheme of VSF-P-DPC . . . . . . . . . . . . . . . . . . . . . . 45 4.3 Vector diagram of predicted powers in VSF-P-DPC . . . . . . . . . . . 46 4.4 Control scheme of VSF-P-DPC with current spectrum control . . . . . 47 4.5 Bode diagrams of cost function filters . . . . . . . . . . . . . . . . . . 48 4.6 Control scheme of FL-VSF-P-DPC . . . . . . . . . . . . . . . . . . . . 49 4.7 Active and reactive power changes under three U P i application . . . . 52 4.8 Active and reactive power changes under symmetrical U P i application 53 4.9 Converter voltage vector U P selection in 1st sector . . . . . . . . . . . 54 4.10 Graphical representation of converter voltage vector U P selection . . . 55 4.11 Control scheme of CSF-P-DPC . . . . . . . . . . . . . . . . . . . . . . 57 4.12 Converter voltage vector U P selection . . . . . . . . . . . . . . . . . . 60 4.13 Control scheme of VF-CSF-P-DPC . . . . . . . . . . . . . . . . . . . . 61 4.14 Steady state operation of VSF-P-DPC . . . . . . . . . . . . . . . . . . 63 4.15 Steady state operation of HC-VSF-P-DPC . . . . . . . . . . . . . . . . 63 4.16 Steady state operation of FL-VSF-P-DPC . . . . . . . . . . . . . . . . 64 4.17 Steady state operation of CSF-P-DPC . . . . . . . . . . . . . . . . . . 64 4.18 Steady state operation of VF-CSF-P-DPC . . . . . . . . . . . . . . . . 65 4.19 Number transistor switchings in predictive methods . . . . . . . . . . 66 4.20 Line current harmonics spectrum . . . . . . . . . . . . . . . . . . . . . 67 4.21 Transient operation of VSF-P-DPC and HC-VSF-P-DPC (P ref step) . 68 4.22 Transient operation of FL-VSF-P-DPC and CSF-P-DPC (P ref step) . 69 4.23 Transient operation of VF-CSF-P-DPC (P ref step) . . . . . . . . . . . 70 4.24 Transient operation (P ref step) in zoom . . . . . . . . . . . . . . . . . 71 4.25 Transient operation of VSF-P-DPC and HC-VSF-P-DPC (U DCref step) 72 4.26 Transient operation of FL-VSF-P-DPC and CSF-P-DPC (U DCref step) 73 4.27 Transient operation of VF-CSF-P-DPC (U DCref step) . . . . . . . . . 74 5.1 Average switching frequency versus ∆L in VSF-P-DPC . . . . . . . . 78 5.2 Power error versus ∆L . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
LIST OF FIGURES 141 5.3 Line current T HD i factor versus ∆L . . . . . . . . . . . . . . . . . . . 78 5.4 Average switching frequency versus ∆R in VSF-P-DPC . . . . . . . . 79 5.5 Power error versus ∆R . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 5.6 Line current T HD i factor versus ∆R . . . . . . . . . . . . . . . . . . . 80 5.7 On-line choke inductance estimator related to γ UL angle . . . . . . . . 81 5.8 On-line choke inductance estimator related to the γ ΨL angle . . . . . . 81 5.9 On-line choke estimator operation with −90% L C mismatch . . . . . . 82 5.10 On-line choke estimator operation with +200% L C mismatch . . . . . 83 5.11 Steady state operation under line voltage distortion part 1 . . . . . . . 84 5.12 Steady state operation under line voltage distortion part 2 . . . . . . . 84 5.13 Steady state operation under line voltage distortion part 3 . . . . . . . 85 5.14 Steady state operation under line voltage distortion part 4 . . . . . . . 85 5.15 Operation under single phase voltage sag . . . . . . . . . . . . . . . . 86 5.16 Operation under two phase voltage sag . . . . . . . . . . . . . . . . . . 87 5.17 Current T HD factor in presence of single phase voltage sag . . . . . . 87 5.18 Operation under two phase voltage sag . . . . . . . . . . . . . . . . . . 88 6.1 Experimental steady state operation part 1 . . . . . . . . . . . . . . . 90 6.2 Experimental steady state operation part 2 . . . . . . . . . . . . . . . 91 6.3 Summarized line current T HD factors and spectrum part 1 . . . . . . 92 6.4 Summarized line current T HD factors and spectrum part 2 . . . . . . 93 6.5 Experimental step change of P ref part 1 . . . . . . . . . . . . . . . . . 95 6.6 Experimental step change of P ref part 2 . . . . . . . . . . . . . . . . . 96 6.7 Zoomed experimental step change of P ref part 1 . . . . . . . . . . . . 97 6.8 Zoomed experimental step change of P ref part 2 . . . . . . . . . . . . 98 6.9 Experimental step change of U DCref part 1 . . . . . . . . . . . . . . . 99 6.10 Experimental step change of U DCref part 1 . . . . . . . . . . . . . . . 100 6.11 Summarized line current T HD factors and spectrum . . . . . . . . . . 101 6.12 Experimental steady-state operation . . . . . . . . . . . . . . . . . . . 102 6.13 Experimental step change of P ref . . . . . . . . . . . . . . . . . . . . . 103 6.14 Zoomed experimental step change of P ref . . . . . . . . . . . . . . . . 104 6.15 Experimental U DCref step change . . . . . . . . . . . . . . . . . . . . . 105 A.1 Transformation from natural to stationary coordinate system . . . . . 122 A.2 Transformation from stationary to natural coordinate system . . . . . 122 A.3 Transformation from stationary to rotating coordinate system . . . . . 123 B.1 Control scheme of PCC αβ . . . . . . . . . . . . . . . . . . . . . . . . . 126 B.2 Vector diagram of predicted currents in PCC αβ . . . . . . . . . . . . . 127 B.3 Control scheme of PCC dq . . . . . . . . . . . . . . . . . . . . . . . . . 128 B.4 Vector diagram of predicted currents in PCC dq . . . . . . . . . . . . . 129 C.1 Diagram of cost function J versus t 1 and t 2 . . . . . . . . . . . . . . . 133
Page 1:
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
Page 13 and 14:
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
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24 CHAPTER 3. CONTROL STRATEGIES FO
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Qref Pref uLab UDC Sabc 26 CHAPTER
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UDC Filter 28 CHAPTER 3. CONTROL ST
Page 40 and 41:
ILq φ ωL 30 CHAPTER 3. CONTROL ST
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Lα 32 CHAPTER 3. CONTROL STRATEGIE
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Page 46 and 47:
Page 48 and 49:
Page 51 and 52:
Chapter 4 Predictive Direct Power C
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4.3. VARIABLE SWITCHING FREQUENCY P
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UPdqUDC Qref UDCSabc uLab iLab 4.3.
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UPdqUDC UDCSabc uLab iLab 4.4. CURR
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UPdqUDC Qref Pref UDCSabc uLab iLab
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4.6. CONSTANT SWITCHING FREQUENCY P
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PP1 fq1 fq2 PP4 PP5 PP6 PP3 fp3 fp3
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Sb Sc Sa Sb Sa Sc Sb Sa 4.6. CONSTA
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fqi fpi Qref Sabc 4.6. CONSTANT SWI
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4.7. VF BASED CSF - PREDICTIVE DIRE
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Qref fpi Sabc iLab 4.7. VF BASED CS
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4.8. SIMULATION RESULTS 63 200 150
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4.8. SIMULATION RESULTS 67 Mag (% o
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4.9. SUMMARY 75 Control Method t se
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Chapter 5 Investigations of Control
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5.1. ROBUSTNESS TO PARAMETERS MISMA
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Sabc UDC UPαβ UPαβ Lest Lest UP
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5.4. LINE VOLTAGE DISTURBANCES 83 (
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5.4. LINE VOLTAGE DISTURBANCES 85 (
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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
Page 135 and 136: Appendix B Predictive Current Contr
Page 137 and 138: ∆ILαβP6 ∆ILαβP5 Figure B.2:
Page 139: Figure B.4: Vector diagram of predi
Page 142 and 143: 132 APPENDIX C. PREDICTIVE DIRECT P
Page 145 and 146: List of Symbols and Abbreviations S
Page 147 and 148: 137 Symbols Description Definition
Page 149: List of Figures 1.1 Conjunction bet
Page 153: 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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