Predictive Control of Three Phase AC/DC Converters

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136 LIST OF SYMBOLS AND ABBREVIATIONS Symbols Description Definition P ref referenced active power page 21 Q reactive power page 23 Q P predicted reactive power page 43 Q ref referenced reactive power page 21 R choke resistance page 9 R C choke resistance used in predictive control algorithm page 79 S abc converter switching states page 11 S αβ space vector of converter switching states in αβ page 13 S dq space vector of converter switching states in dq page 14 t 1 U P application time page 52 t 2 U P application time page 52 t 3 U P application time page 52 T fC referenced current prefilter time constant page 19 T fP referenced power prefilter time constant page 26 T fU referenced DC-link voltage prefilter time constant page 21 T I power controller time constant page 25 T IC current controller time constant page 19 T IU DC-link voltage controller time constant page 25 T P W M PWM generation time delay page 19 T RL time constant of choke math. model page 19 T s sampling time page 19 U DC DC-link voltage page 10 U DCerr DC-link voltage error page 17 U DCref reference DC-link voltage page 17 U i space vector of voltage drop on VSC choke page 11 u L line voltage page 11 U L space vector of line voltage page 10 U Lαβ space vector of line voltage in αβ page 13 U Ldq space vector of line voltage in dq page 14 U P space vector of VSC input voltage page 10 U P αβ space vector of VSC input voltage in αβ page 13 U P αβref space vector of referenced VSC input voltage in page 17 αβ u P DC− voltage measured between converter input page 33 and negative DC bus U P dq space vector of VSC input voltage in dq page 14 U P dqref space vector of referenced VSC input voltage in dq page 14 ∆I Lαβ space vector of line current differential in αβ page 125 ∆I Ldq space vector of line current differential in dq page 128 ∆L choke inductance value mismatch in [%] page 77 ∆P active power differential page 43 ∆R choke resistance value mismatch in [%] page 79 ∆Q reactive power differential page 43 ∆t time differential page 43
137 Symbols Description Definition ω L angular frequency of line voltage page 14 Ψ L space vector of virtual flux page 30 Ψ Lαβ space vector of virtual flux in αβ page 29 τ 0 transistor dead time page 19 τ t sum of small time constants page 19
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WARSAW UNIVERSITY OF TECHNOLOGY Fac
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Contents Contents i 1 Introduction
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CONTENTS iii List of Symbols and Ab
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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
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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
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ILq φ ωL 30 CHAPTER 3. CONTROL ST
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Lα 32 CHAPTER 3. CONTROL STRATEGIE
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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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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
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: List of Symbols and Abbreviations S
Page 149 and 150: List of Figures 1.1 Conjunction bet
Page 151 and 152: LIST OF FIGURES 141 5.3 Line curren
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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