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NP Control with Carrier based PWM 115 5.3.2.2 Extended SMC modulation Figure 75, SMC A modulation (α = 0.625) The modulation introduced in Figure 75 (SMC A modulation) applies both upper and lower FC converter stages for 0.25
116 NP Control with Carrier based PWM Figure 76, SMC B modulation (α = 0.625) The SMC can also be operated purely as a MC converter. Balancing of the flying capacitors is improved, there is no NP current, but the number of available levels is reduced to N/2+1 (from N+1). 5.3.2.3 NP current for single phase leg in function of the phase leg duty cycle Figure 77 shows the NP current in function of the output voltage for the introduced modulation schemes. It can be seen that the NP current can effectively be reduced in the middle range of output voltages. Note that s avg is used instead of α L. See equation (40) for the relationship. 1 α2 α1 0 -1 0 1 s avg 1 α2 α1 0 -1 0 1 s avg 1 α2 α1 0 -1 0 1 s avg 1 α2 α1 0 -1 0 1 s avg 1 I NP / I out 1 I NP / I out 1 I NP / I out 1 I NP / I out 0 -1 0 1 s avg 0 -1 0 1 s avg 0 -1 0 1 s avg 0 -1 0 1 s avg (a) (b) (c) (d) Figure 77, Single phase leg NP current functions for the different modulation schemes of the SMC: (a) standard modulation, (b) SMC A modulation, (c) SMC B modulation, (d) FC modulation Figure 78 shows an example of the NP current in function of the CM voltage for the different modulation schemes and combinations thereof. The vertical lines indicate the limits of the physically possible operation (only inner section possible). The lower four functions combine different modulation schemes in the different phases to obtain the minimum and maximum possible values in function of the CM voltage; the total NP current can reach values not possible otherwise. While the NP current cannot reach zero for standard modulation (INP-std) or SMC A modulation (INP-SMCA), the combination thereof (I-std+A-max) crosses the zero line and does allow zero NP current operation with the appropriate CM voltage. The application of the new schemes increases the range of possible NP currents significantly and more powerful NP control is possible. Table 85 in the appendix shows absolute minimum and maximum functions for a wide range of operating points (any CM applied).Zero average NP current areas are increased as shown in Table 86 in the appendix.
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THÈSE En vue de l'obtention du DOC
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Acknowledgements i ACKNOWLEDGEMENTS
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iv Table of Contents 3.4 Generic ML
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vi Table of Contents 7.1 General mo
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viii Résumé français (French sum
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x Résumé français (French summar
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xii Résumé français (French summ
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xiv Résumé français (French summ
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xvi Résumé français (French summ
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xviii Résumé français (French su
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Introduction 1 2 INTRODUCTION This
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Introduction 3 tighter capacitor di
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Introduction 5 TABLE 1, OPERATING R
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Introduction 7 2.3 Glossary Note th
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Introduction 9 2.4 Nomenclature Not
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Introduction 11 DPC DSP DTC FC FPGA
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ML Converter Topologies 13 3 ML CON
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ML Converter Topologies 15 The four
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ML Converter Topologies 17 Each swi
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ML Converter Topologies 19 size doe
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ML Converter Topologies 21 plus (a)
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ML Converter Topologies 23 N >= 2,
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ML Converter Topologies 25 (a) (b)
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ML Converter Topologies 27 (a) (b)
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ML Converter Topologies 29 In a pra
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ML Converter Topologies 31 reality,
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ML Converter Topologies 33 All cons
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ML Converter Topologies 35 TABLE 16
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ML Converter Topologies 37 TABLE 17
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ML Converter Topologies 39 3.7.4.1
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ML Converter Topologies 41 f C sw =
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ML Converter Topologies 43 A second
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ML Converter Topologies 45 Limitati
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ML Converter Topologies 47 1 K M 2
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ML Converter Topologies 49 3.8 Exec
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52 3-L DC Link ML Converter Propert
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Page 85 and 86: 64 3-L DC Link ML Converter Propert
Page 110 and 111: NP Control with Carrier based PWM 8
Page 144 and 145: NP Control with Optimal Sequence SV
Page 170 and 171: Application and Verification 149 7
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Application and Verification 165 TA
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Application and Verification 167 7.
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170 Conclusions and Outlook 8.1.2 M
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172 Conclusions and Outlook 8.2 Out
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174 Conclusions and Outlook 8.3 Sum
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176 Appendix I = 1− ) (99) ( C 2
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178 Appendix TABLE 78, FLYING CAPAC
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180 Appendix 9.3 Single phase NP cu
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182 Appendix 9.4 States of the ANPC
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184 Appendix 9.5 NP currents as a f
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186 Appendix 9.5.3 Maximum and mini
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188 Appendix 9.6 NP current functio
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190 Appendix TABLE 91, NP CURRENT I
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192 Appendix TABLE 93, NP CURRENT I
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Bibliography 195 10 BIBLIOGRAPHY [1
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Bibliography 197 [33] P. Steimer,
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Bibliography 199 neutral point bala
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Bibliography 201 [88] J. Pou, J. Za
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