Predictive Control of Three Phase AC/DC Converters

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Sector 2 54 CHAPTER 4. PREDICTIVE DIRECT POWER CONTROL line voltage space vector position. The voltage plane is divided into twelve subsectors, exactly the same as in case of ST-DPC, see Fig. 3.9. The smallest current ripples can be achieved by application sequence of neighboring VSC vectors. Figure 4.9 shows an example of vector selection. Line voltage space vector is located in the first sector, so the switching sequence of U P is set to {1, 2, 7}. Table 4.4 summarizes U P sequences for all sectors. β Sector 3 (110) UP2 (000) UP0 (111) UP7 α UL (100) UP1 (101) 1 Sector 11 Sector 12 UP6 Figure 4.9: Converter voltage vector U P selection in 1st sector Figure 4.10 shows graphical representation of U P sequences for all sectors. As it can be seen in Fig. 4.10, switching table (Tab. 4.4) has been constructed in order to reduce transistors switching loses. Note that, the U P sequence has been chosen in such way that VSC leg switchings do not happen during maximum line current conduction, and there are only two switchings per sampling time T s . 4.6.4 Voltage Vectors Application Times Taking into account (4.36) and constant switching frequency requirement, control method has to determine t 1 , t 2 and t 3 voltage vectors application times. The predicted power values at the end of sampling time P P 6 , Q P 6 are considered as a referenced ones P ref , Q ref . P ref = P P 6 Q ref = Q P 6 (4.37)
Sb Sc Sa Sb Sa Sc Sb Sa 4.6. CONSTANT SWITCHING FREQUENCY PREDICTIVE DIRECT POWER CONTROL 55 Sector U P sequence 1 1 2 7 7 2 1 2 0 1 2 2 1 0 3 0 3 2 2 3 0 4 3 2 7 7 2 3 5 3 4 7 7 4 3 6 0 3 4 4 3 0 7 0 5 4 4 5 0 8 5 4 7 7 4 5 9 5 6 7 7 6 5 10 0 5 6 6 5 0 11 0 1 6 6 1 0 12 1 6 7 7 6 1 Table 4.4: Switching table related to line voltage vector position γ UL 1 2 7 7 2 1 0 1 2 2 1 0 0 3 2 2 3 0 Sector 1 Sector 2 Sector 3 Sb Sc Sa Sb Sc Sa 3 2 7 7 2 3 3 4 7 7 4 3 0 3 4 4 3 0 Sector 4 Sector 5 Sector 6 Sb Sc Sa Sb Sc Sa 0 5 4 4 5 0 5 4 7 7 4 5 5 6 7 7 6 5 0 5 6 6 5 0 0 1 6 6 1 0 1 6 7 7 6 1 Sector 7 Sector 8 Sector 9 Sb Sc Sa Sb Sc Sa Sc Sector 10 Sector 11 Sector 12 Figure 4.10: Graphical representation of converter voltage vector U P selection Sb Sa Sb Sa Sb Sa Sc Sc Active P err and reactive Q err power errors have been expressed as follow: Sc ( )) 1 P err = P ref − P − 2 (f p1 t 1 + f p2 t 2 + f p3 2 T s − t 1 − t 2 (4.38)
Page 1:
WARSAW UNIVERSITY OF TECHNOLOGY Fac
Page 5 and 6:
Contents Contents i 1 Introduction
Page 7:
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
Page 15 and 16: 5 which properties are deteriorated
Page 17 and 18: Chapter 2 Voltage Source Converter
Page 19 and 20: (Sa=1, Sc=0) UP2 (Sa=1, UP1 Sb=1, S
Page 21 and 22: IL UL jωLIL UL jωLIL 2.2. MATHEMA
Page 23 and 24: ILα 1 sL+RSα - ULα 32IDC 1 sCUDC
Page 25: 2.3. SUMMARY 15 2.3 Summary In this
Page 28 and 29: Iqref Idref ILq ILd ILq φ uLab UDC
Page 30 and 31: UDC Filter 20 CHAPTER 3. CONTROL ST
Page 32 and 33: 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: PP1 fq1 fq2 PP4 PP5 PP6 PP3 fp3 fp3
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 85 and 86: 4.9. SUMMARY 75 Control Method t se
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 113 and 114: 6.3. OPERATION WITH LOW SWITCHING F
Page 115 and 116:
6.3. OPERATION WITH LOW SWITCHING F
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6.4. SUMMARY 107 Control Method t s
Page 120 and 121:
110 CHAPTER 7. SUMMARY AND FINAL CO
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112 BIBLIOGRAPHY [11] K. Hyosung an
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114 BIBLIOGRAPHY [38] A. Nasiri,
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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
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132 APPENDIX C. PREDICTIVE DIRECT P
Page 145 and 146:
List of Symbols and Abbreviations S
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137 Symbols Description Definition
Page 149 and 150:
List of Figures 1.1 Conjunction bet
Page 151 and 152:
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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