Predictive Control of Three Phase AC/DC Converters

More documents

Recommendations

Info

010UP3 β 23 Figure 2.4: Representation of VSC AC-side voltage as space vector 111 110 10 CHAPTER 2. VOLTAGE SOURCE CONVERTER AC-side voltage can be described as a complex space vector (2.3). U P (i) = { 2 3 U DC e j(i−1) π 3 for i = 1 . . . 6 0 for i = 0, 7 (2.3) Active vectors correspond to phase voltage in relation 1 3 and 2 3 to the DC-link voltage U DC . Zero vectors apply zero voltage at the AC-side of converter, because all three branches are connected to positive or negative DC-link bus. 011 UP1 UDC UP4 α UP6 UP0,7 100 000 UP5 001 Voltage Source Converter (VSC) can be represented in different coordinate systems. Figure 2.5 shows single phase representation of VSC where: U L is space vector of line voltage, I L is space vector of line current, U 101 P is space vector of VSC input voltage. The U P voltage is controllable, and depends on applied voltage vector (see (2.3) and Fig. 2.4). Due to changes of U P magnitude and phase, line current can be controlled by voltage drop on the input choke. As it can be noticed, input choke is essential part of the converter, because it brings current source character, and provides boost feature of converter. Figure 2.5: Single phase representation of VSC R IL UP Figure 2.6 presents general phasor diagrams for rectification and inverting mode with and without unity power factor operation. ULL
IL UL jωLIL UL jωLIL 2.2. MATHEMATICAL MODEL OF VSC 11 (a) (b) ILUP RIL RIL (c) UP (d) Figure 2.6: Phasor diagrams of VSC, on the left rectification mode, on the right inverting mode: (a), (b) non unity power factor, (c), (d) unity power factor jωLIL IL UP RIL UL jωLIL IL UPUL RIL 2.2.1 VSC Model in Natural Coordinates The line voltage u L equations for balanced three phase system without neutral wire can be written as: u La = u m sin(ω L t) u Lb = u m sin(ω L t + 2π 3 ) (2.4) u Lc = u m sin(ω L t − 2π 3 ) According to Fig. 2.2, and assuming ideal power switches, VSC can be described as: where U i is a voltage drop on VSC choke, defined as: U L = U i + U P (2.5) U i = L dI L dt + RI L (2.6) Taking into considerations (2.3), and switching states S a , S b , S c of the converter, AC-side VSC voltage can be described: U P = U DC (S k − 1 3 c∑ S k ) (2.7) k=a
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: (Sa=1, Sc=0) UP2 (Sa=1, UP1 Sb=1, S
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 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 75 and 76:
Page 77 and 78:
4.8. SIMULATION RESULTS 67 Mag (% o
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
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 107 and 108:
Page 109 and 110:
Page 111 and 112:
6.3. OPERATION WITH LOW SWITCHING F
Page 113 and 114:
Page 115 and 116:
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 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
show all

Predictive Control of Three Phase AC/DC Converters

Create successful ePaper yourself

Delete template?

Save as template?