A Novel Modulation Function-Based Control of Modular Multilevel Converters for High Voltage Direct Current Transmission Systems
Abstract
:1. Introduction
2. Modular Multilevel Converter’s Alternating Current-Side Voltages
Detailed Calculation of the Alternating Current-Side Voltage
3. Analysis of Proposed Modulation Function
3.1. Parameters Variation Effects on the Proposed Modulation Function
3.2. Input Current Variation Effects on the Proposed Modulation Function
4. Simulation Results
4.1. Parameter Variation Evaluation
4.2. Evaluation of Modular Multilevel Converter Input Current Variation
5. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
Nomenclature
Abbreviation | |
MMC | Modular multilevel converter |
HVDC | High voltage direct current |
SLPWM | Shift level pulse width modulation |
SS | Switching signals |
SM | Sub-module |
AC | Alternating current |
KVL | Kirchhoff’s voltage law |
Variables | |
ik | Input MMC currents |
Imk | Magnitude of input MMC currents |
iku | Upper arm currents |
ikl | Lower arm currents |
Reference values of input MMC currents | |
vks | Input MMC voltages |
vkl | AC-side voltages |
vm | Magnitude of input MMC voltages |
Reference value of input MMC voltage | |
vku | Upper arm voltages |
vkl | Lower arm voltages |
vDC | MMC DC-link voltage |
uku | Switching function for Upper’s arms |
ukl | Switching function for Lower’s arms |
mk | Proposed modulation index |
αk | Angle between input MMC voltages and currents |
Reference value of | |
Vkt | Magnitude of upper and lower voltage difference |
θkt | Angle of upper and lower voltage difference |
Parameters | |
Lk | Input inductance of MMC |
Rk | Input resistance of MMC |
Lkul | Arm’s inductance of MMC |
Rkul | Arm’s resistance of MMC |
Lkt | Equivalent arm’s inductance of MMC |
Rkt | Equivalent arm’s resistance of MMC |
ω | Angular frequency of MMC |
Appendix
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Parameter | Value | Unit |
---|---|---|
Input resistance | 0.6 | Ohm |
Input inductance | 15 | mH |
Arm resistance | 0.5 | Ohm |
Arm inductance | 5 | mH |
AC voltage | 6 | kV |
DC voltage | 12 | kV |
N | 4 | - |
Input frequency | 50 | Hz |
Carrier frequency | 10 | kHz |
SM capacitance | 5 | mF |
SM voltage | 3 | kV |
Parameter | Value | Unit |
---|---|---|
Input resistance | 1.2 | Ohm |
Input inductance | 25 | mH |
Arm resistance | 1.5 | Ohm |
Arm inductance | 10 | mH |
AC voltage | 6 | kV |
50 | A | |
0 | - |
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Mehrasa, M.; Pouresmaeil, E.; Zabihi, S.; Trujillo Caballero, J.C.; Catalão, J.P.S. A Novel Modulation Function-Based Control of Modular Multilevel Converters for High Voltage Direct Current Transmission Systems. Energies 2016, 9, 867. https://doi.org/10.3390/en9110867
Mehrasa M, Pouresmaeil E, Zabihi S, Trujillo Caballero JC, Catalão JPS. A Novel Modulation Function-Based Control of Modular Multilevel Converters for High Voltage Direct Current Transmission Systems. Energies. 2016; 9(11):867. https://doi.org/10.3390/en9110867
Chicago/Turabian StyleMehrasa, Majid, Edris Pouresmaeil, Sasan Zabihi, Juan C. Trujillo Caballero, and João P. S. Catalão. 2016. "A Novel Modulation Function-Based Control of Modular Multilevel Converters for High Voltage Direct Current Transmission Systems" Energies 9, no. 11: 867. https://doi.org/10.3390/en9110867