Predictive Control of Three Phase AC/DC Converters

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64 CHAPTER 4. PREDICTIVE DIRECT POWER CONTROL (a) 200 150 100 50 (c) 500 400 300 200 100 u P a u La 0.1 0.105 0.11 0.115 0.12 0 −50 −100 −150 0 −100 −200 −300 −400 −200 0.1 0.105 0.11 0.115 0.12 15 10 (b) −500 2500 2000 (d) P Q i La 0.1 0.105 0.11 0.115 0.12 5 1500 0 1000 −5 500 −10 0 −15 0.1 0.105 0.11 0.115 0.12 Figure 4.16: Steady state operation of FL-VSF-P-DPC: (a) line voltage u La [V], (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] −500 200 150 100 50 (a) 500 400 300 200 100 (c) u P a u La 0.1 0.105 0.11 0.115 0.12 0 −50 −100 −150 0 −100 −200 −300 −400 −200 0.1 0.105 0.11 0.115 0.12 15 10 (b) −500 2500 2000 (d) P Q i La 0.1 0.105 0.11 0.115 0.12 5 1500 0 1000 −5 500 −10 0 −15 0.1 0.105 0.11 0.115 0.12 −500 Figure 4.17: Steady state operation of CSF-P-DPC: (a) line voltage u La [V], (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 65 200 150 100 50 (a) 0.8 0.6 0.4 0.2 500 400 300 200 100 (c) u P a u La ψ La 0.2 0.205 0.21 0.215 0.22 0 0 0 −50 −100 −150 −100 −0.2 −200 −0.4 −300 −0.6 −400 −200 0.2 0.205 0.21 0.215 0.22 −0.8 −500 0.2 0.205 0.21 0.215 0.22 15 10 (b) 2500 2000 (d) P Q i La 0.2 0.205 0.21 0.215 0.22 5 1500 0 1000 −5 500 −10 0 −15 0.2 0.205 0.21 0.215 0.22 −500 Figure 4.18: Steady state operation of VF-CSF-P-DPC: (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] Figure 4.19 shows converter voltage, measured between converter phase a input, and negative DC bus u P aDC− as well as related number of transistor “on“ and “off “ switchings N Sa , per one cycle. For VSF-P-DPC and FL-VSF-P-DPC, N Sa goes around 180 and 150 switchings respectively, and in case of HC-VSF-P-DPC is about 325 what is caused by two times higher sampling frequency F s . Figure 4.19 shows also u P aDC− and N Sa for constant switching frequency approach. It can be seen that there is no transistor switchings under maximum current conduction. It allows to significantly reduce transistors commutation loses. Figure 4.20 shows line current i L harmonic spectrum up to 20 kHz. In case of VSF-P-DPC and FL-VSF-P-DPC harmonic spectrum is spread over wide range of frequencies. The HC-VSF-P-DPC allows to concentrate spectrum within desired frequency (in presented case around 4 kHz Fig. 4.5 (a)). For constant switching approach current spectrum is concentrated around maximum switching frequency F swMax , which leads to sampling F s . Table 4.7 summarizes T HD i factors. As it can been seen, the lowest T HD i is achieved by CSF approach (around 3.5% – 3.6%), also HC-VSF-P-DPC has low T HD i , however it is occupied by higher switching and sampling frequencies.
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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
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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
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: 4.8. SIMULATION RESULTS 63 200 150
Page 77 and 78: 4.8. SIMULATION RESULTS 67 Mag (% o
Page 79 and 80: 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
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114 BIBLIOGRAPHY [38] A. Nasiri,
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116 BIBLIOGRAPHY [66] F. Morel, J.
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118 BIBLIOGRAPHY 13. A. Lopez de He
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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
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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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Predictive Control of Three Phase AC/DC Converters

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