Predictive Control of Three Phase AC/DC Converters

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44 CHAPTER 4. PREDICTIVE DIRECT POWER CONTROL (a) (b) 0 ∆ P 0 ∆ P 7 ∆ P 6 ∆ P 1 ∆ P 2 ∆ P 3 ∆ P 4 ∆ P 5 0 ∆ Q 7 ∆ Q 0 ∆ Q 4 ∆ Q 5 ∆ Q 6 ∆ Q 1 ∆ Q 2 ∆ Q 3 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Figure 4.1: Active (a) and reactive (b) power derivatives behavior under different U P voltage vectors application The power derivatives depend on the grid variables, line side inductive filter parameters and on the converter switching states. Fig. 4.1 shows active ∆P and reactive ∆Q power derivatives behavior related to different voltage vectors U P , under unity power factor and steady state operation. As it was mentioned in Section 2.2, VSC has eight permitted states, which correspond to eight possible voltage vectors U P . The goal of the VSF-P-DPC is to calculate powers behavior P , Q for all possible states U P . Voltage vector, which minimizes cost function value J, defined as: √ J = (P ref − P P ) 2 + (Q ref − Q P ) 2 (4.15) is selected for next sampling period. U Lαβ 200e j45 V P 600 W I Lαβ 2.82e j90 A Q −600 var U DC 600 V P ref 600 W L 0.01 H Q ref 0 var R 0.1 Ω T s 50 µs Table 4.1: An example operating conditions of VSF-P-DPC
UPdqUDC Qref UDCSabc uLab iLab 4.3. VARIABLE SWITCHING FREQUENCY PREDICTIVE DIRECT POWER CONTROL 45 7 P PQ Q Power Model Predictive Control ULαβ ILαβ (PQ) αβ abc PPQP7 Cost Function Minimization VSC PI - LOAD Pref Figure 4.2: Control scheme of Variable Switching Frequency Predictive Direct Power Control VSF-P-DPC UDCref U P P P [W] Q P [var] P err [W] Q err [var] J [VA] U P 1 484.8 -1015.1 115.1 1015.1 1021.6 U P 2 329.5 -435.5 270.4 435.5 512.7 U P 3 753.8 -11.3 -153.8 11.3 154.2 U P 4 1333.3 -166.6 -733.3 166.6 752 U P 5 1488.6 -746.1 -888.6 746.1 1160.3 U P 6 1064.4 -1170.4 -464.4 1170.4 1259.2 U P 0 909.12 -590.8 -309.1 590.8 666.8 Table 4.2: An example operation of VSF-P-DPC Lets consider VSF-P-DPC operation under conditions listed in Tab. 4.1. On the basis of (4.13) and (4.14) values of predicted powers P P , Q P are calculated for every voltage vector. Table 4.2 summarizes results. As it can be seen, the minimum value of cost function J is achieved by U P 3 voltage vector, and this vector is selected for next sampling period. Figure 4.3 shows vector diagram of predicted power in pq coordinates.
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: 4.3. VARIABLE SWITCHING FREQUENCY P
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 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
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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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