Predictive Control of Three Phase AC/DC Converters

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70 CHAPTER 4. PREDICTIVE DIRECT POWER CONTROL Figures 4.25 – 4.27 present second test, which was step change of DC-link voltage reference value U DCref from 300 V to 600 V. The DC-link voltage PI controller has been tuned for each method according to the rules presented in Section 3.4. On the basis of DC-link voltage error, PI controller assigns referenced value of active power P ref Fig. 4.25 (d) – 4.27 (d). For all controls U DC overshoot is between 3% – 5%. However, in case of VSF methods regulation time was 9 ms shorter than in case of CSF what is caused by higher sampling frequency. 200 150 100 50 VF-CSF-P-DPC 0.8 0.6 0.4 0.2 500 400 300 200 100 u P a (c) (a) u La ψ La 0.195 0.2 0.205 0.21 0.215 0.22 0.225 0.23 0.235 0 0 0 −50 −100 −150 −100 −0.2 −200 −0.4 −300 −0.6 −400 −200 0.195 0.2 0.205 0.21 0.215 0.22 0.225 0.23 0.235 −0.8 −500 15 2500 10 2000 P Q (d) (b) i La 0.195 0.2 0.205 0.21 0.215 0.22 0.225 0.23 0.235 5 1500 0 1000 −5 500 −10 0 −15 −500 0.195 0.2 0.205 0.21 0.215 0.22 0.225 0.23 0.235 Figure 4.23: Transient operation of VF-CSF-P-DPC power step change from 1 kW to 2 kW: (a) line voltage u La [V] and estimated virtual flux ψ La [Wb], (b) line current i La [A], (c) VSC input voltage u P a [V], (d) referenced and measured active P [W] and reactive power Q [var]
4.8. SIMULATION RESULTS 71 2500 2000 (a) P Q 2500 2000 (b) P Q VSF-P-DPC 500 400 300 (c) u P a 1500 1500 200 100 1000 1000 0 −100 500 500 −200 0 0 −300 −400 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 2000 1500 1000 500 0 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 2000 1500 1000 500 0 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 FL-VSF-P-DPC 2000 1500 1000 500 0 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 HC-VSF-P-DPC 2000 1500 1000 500 0 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 500 400 300 200 100 0 −100 −200 −300 −400 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 500 400 300 200 100 0 −100 −200 −300 −400 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 2000 1500 1000 500 0 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 CSF-P-DPC 2000 1500 1000 500 0 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 500 400 300 200 100 0 −100 −200 −300 −400 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 2000 1500 1000 500 0 −500 0.2045 0.205 0.2055 0.206 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 2500 VF-CSF-P-DPC 2000 1500 1000 500 0 −500 0.2045 0.205 0.2055 0.206 −500 0.1044 0.1046 0.1048 0.105 0.1052 0.1054 0.1056 0.1058 0.106 0.1062 500 400 300 200 100 0 −100 −200 −300 −400 −500 0.2045 0.205 0.2055 0.206 Figure 4.24: Transient operation, step change of referenced active power P ref from 1 kW to 2 kW in zoom: (a) referenced and measured active and reactive power, (b) sampled referenced and measured active and reactive power, (c) VSC input voltage u P a
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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
Page 19 and 20:
(Sa=1, Sc=0) UP2 (Sa=1, UP1 Sb=1, S
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IL UL jωLIL UL jωLIL 2.2. MATHEMA
Page 23 and 24:
ILα 1 sL+RSα - ULα 32IDC 1 sCUDC
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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 77 and 78: 4.8. SIMULATION RESULTS 67 Mag (% o
Page 79: 4.8. SIMULATION RESULTS 69 200 150
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 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
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q β A.2. ROTATING SYSTEM 123 A.2 R
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Appendix B Predictive Current Contr
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∆ILαβP6 ∆ILαβP5 Figure B.2:
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Figure B.4: Vector diagram of predi
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132 APPENDIX C. PREDICTIVE DIRECT P
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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
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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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