Predictive Control of Three Phase AC/DC Converters

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ILq φ ωL 30 CHAPTER 3. CONTROL STRATEGIES FOR VSC L Ra uPa iLa uLb uLa Lb La iLb iLc Rb Rc uPb uPc UDC A C B + Lc uLc Virtual AC Motor Figure 3.16: Scheme of VSC with AC side presented as a virtual AC motor - O A D U P β = √ 3 3 U DC (S b − S c ) (3.38) Voltage Source Converter DC-side Finally, virtual flux Ψ AC-side Lαβ can be expressed by: Ψ Lα = 2 3 ∫ U DC (S a − 1 ) 2 (S b + S c ) dt + LI Lα (3.39) √ ∫ 3 Ψ Lβ = 3 U DC (S b − S c ) dt + LI Lβ (3.40) Note that virtual flux is shifted 90 ◦ in relation to line voltage, which causes different space vectors orientation (Fig. 3.17). (a) q (b) q ULq φ ILdILq ILdq ILdq ωL ULd d Figure 3.17: Relation between line voltage and virtual flux coordinates transformation: (a) line voltage U Ldq oriented reference coordinates and space vectors, (b) virtual flux Ψ L oriented reference coordinates and space vectors Ld ILd d
UPα Lα Lα 3.5. VIRTUAL FLUX BASED CONTROL 31 On the basis of (3.39) and (3.40) virtual flux estimator with ideal integration part has been built Fig. 3.18 (a). (a) UPα (b) I 200 0 ILαL −200 (c) 2 1 0 I −1 −2 0 0.1 0.2 0.3 0.4 0.5 0.6 ILβ Figure 3.18: Virtual flux estimator with ideal integration: (a) block scheme, (b) estimated line voltage U Lα [V], (c) estimated virtual flux Ψ Lα [Wb] Lβ UPβ As it can be seen in Fig. 3.18 (c), ideal integration produce dc offset, because it depends on unknown initial conditions Ψ Lαβ0 . (a) (b) - I 200 0 LPF −200 ILαL LPF (c) 2 1 - I 0 −1 −2 0 1 2 3 4 5 6 ILβ Figure 3.19: Virtual flux estimator with low pass filter: (a) block scheme, (b) estimated line voltage U Lα [V], (c) estimated virtual flux Ψ Lα [Wb] Lβ UPβ To avoid initial condition problem, a low pass filter (LPF) has been implemented in feedback loop as shown in Fig. 3.19 (a). In this case, even if initial conditions of integral part are wrong, virtual flux dc offset is being removed after about 3 seconds Fig. 3.19 (c). To speed up this process, an additional gain part has been introduced into estimator Fig. 3.20 (a). In this case, dc offset removal process takes about 300 ms Fig. 3.20 (c).
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 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 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
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Predictive Control of Three Phase AC/DC Converters

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