Analysis and Assessment of Modular Multilevel Converter Internal Control Schemes

Adoption of distributed submodule (SM) capacitors in a modular multilevel converter (MMC) necessitates complex controllers to ensure the stability of its internal dynamics. This paper presents comprehensive analysis and assessment of different proportional resonant (PR)-based control schemes proposed to stabilize the internal dynamics and ensure ac and dc sides power quality of the MMC within a dc transmission system. With the consideration of passive component tolerances, different energy- and voltage-based control schemes under various conditions are analyzed. It has been established that without vertical voltage balance control, unequal passive component values in the upper and lower arms of the same phase leg may cause: unbalanced fundamental currents in the arms, unequal dc voltage across the arms, and fundamental oscillations in the common-mode currents that lead to fundamental frequency ripple in the dc-link current. The theoretical analysis that explains this mechanism is presented, and is used to show that vertical voltage balancing is necessary for the nullification of arm voltage difference and suppression of odd oscillations caused by capacitive/inductive asymmetry between arms of the same phase leg. Simulations support the theoretical analysis and the effectiveness of voltage balancing in ensuring correct operation, independent of tolerances of the MMC passive elements, and operating conditions. A new direct method for elimination of fundamental oscillations in the common-mode and dc-link current is proposed. Experimental results from a single-phase MMC prototype validate the presented theoretical discussions and simulations.

[1]  Samir Kouro,et al.  Circuit Topologies, Modeling, Control Schemes, and Applications of Modular Multilevel Converters , 2015, IEEE Transactions on Power Electronics.

[2]  Kai Zhang,et al.  An Improved Control System for Modular Multilevel Converters with New Modulation Strategy and Voltage Balancing Control , 2015, IEEE Transactions on Power Electronics.

[3]  Steven Liu,et al.  Integrated current control, energy control and energy balancing of Modular Multilevel Converters , 2010, IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society.

[4]  Wenhua Liu,et al.  A Steady-State Analysis Method for a Modular Multilevel Converter , 2013, IEEE Transactions on Power Electronics.

[5]  Hirofumi Akagi,et al.  Low-Switching-Frequency Operation of a Modular Multilevel DSCC Converter With Phase-Shifted Rotating-Carrier PWM , 2017, IEEE Transactions on Power Electronics.

[6]  Jean Mahseredjian,et al.  MMC Capacitor Voltage Decoupling and Balancing Controls , 2015, IEEE Transactions on Power Delivery.

[7]  Maryam Saeedifard,et al.  Circulating Current Suppression of the Modular Multilevel Converter in a Double-Frequency Rotating Reference Frame , 2016, IEEE Transactions on Power Electronics.

[8]  Yan Deng,et al.  A Capacitor Voltage Balancing Method With Fundamental Sorting Frequency for Modular Multilevel Converters Under Staircase Modulation , 2016, IEEE Transactions on Power Electronics.

[9]  Chengfu Wang,et al.  A Closed-Loop Time-Domain Analysis Method for Modular Multilevel Converter , 2017, IEEE Transactions on Power Electronics.

[10]  Georgios Konstantinou,et al.  Circulating Current Injection Methods Based on Instantaneous Information for the Modular Multilevel Converter , 2015, IEEE Transactions on Industrial Electronics.

[11]  Ping Wang,et al.  An Inner Current Suppressing Method for Modular Multilevel Converters , 2012, IEEE Transactions on Power Electronics.

[12]  Makoto Hagiwara,et al.  A Grid-Level High-Power BTB (Back-To-Back) System Using Modular Multilevel Cascade Converters WithoutCommon DC-Link Capacitor , 2014, IEEE Transactions on Industry Applications.

[13]  Samir Kouro,et al.  Variable-Angle Phase-Shifted PWM for Multilevel Three-Cell Cascaded H-Bridge Converters , 2017, IEEE Transactions on Industrial Electronics.

[14]  S. Bernet,et al.  Pulse width modulation scheme for the Modular Multilevel Converter , 2009, 2009 13th European Conference on Power Electronics and Applications.

[15]  Dushan Boroyevich,et al.  Modeling and design of the modular multilevel converter with parametric and model-form uncertainty quantification , 2017, 2017 IEEE Energy Conversion Congress and Exposition (ECCE).

[16]  S. J. Amodeo,et al.  Energy Balancing Improvement of Modular Multilevel Converters Under Unbalanced Grid Conditions , 2017, IEEE Transactions on Power Electronics.

[17]  Cursino Brandão Jacobina,et al.  Hybrid Single-Phase AC–AC Modular Multilevel DSCC Converters With Modulation and DC-Link Voltage Ripple Improvement , 2017, IEEE Transactions on Industry Applications.

[18]  Olimpo Anaya-Lara,et al.  Modular multilevel inverter: Pulse width modulation and capacitor balancing technique , 2010 .

[19]  Christopher D. Townsend,et al.  Phase-Shifted Carrier Modulation Techniques for Cascaded H-Bridge Multilevel Converters , 2015, IEEE Transactions on Industrial Electronics.

[20]  Zhe Zhu,et al.  Performance Analysis and Optimization of Circulating Current Control for Modular Multilevel Converter , 2016, IEEE Transactions on Industrial Electronics.

[21]  H. Akagi,et al.  Control and Experiment of Pulsewidth-Modulated Modular Multilevel Converters , 2009, IEEE Transactions on Power Electronics.

[22]  H. Akagi,et al.  State-of-Charge (SOC)-Balancing Control of a Battery Energy Storage System Based on a Cascade PWM Converter , 2009, IEEE Transactions on Power Electronics.

[23]  Morten Hovd,et al.  Control of the Modular Multilevel Converter Based on a Discrete-Time Bilinear Model Using the Sum of Squares Decomposition Method , 2015, IEEE Transactions on Power Delivery.

[24]  Lie Xu,et al.  Reduced switching-frequency modulation and circulating current suppression for modular multilevel converters , 2012, PES T&D 2012.

[25]  Seung-Ki Sul,et al.  A comprehensive AC side single line to ground fault ride through strategy of a modular multilevel converter for HVDC system , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[26]  Marta Molinas,et al.  An Energy-Based Controller for HVDC Modular Multilevel Converter in Decoupled Double Synchronous Reference Frame for Voltage Oscillation Reduction , 2013, IEEE Transactions on Industrial Electronics.

[27]  Grain Philip Adam,et al.  Robust and Generic Control of Full-Bridge Modular Multilevel Converter High-Voltage DC Transmission Systems , 2015, IEEE Transactions on Power Delivery.

[28]  Zhen Chen,et al.  A Novel Flexible Capacitor Voltage Control Strategy for Variable-Speed Drives With Modular Multilevel Converters , 2017, IEEE Transactions on Power Electronics.

[29]  Tao Zhang,et al.  Arm Current Control Strategy for MMC-HVDC Under Unbalanced Conditions , 2017, IEEE Transactions on Power Delivery.

[30]  Maryam Saeedifard,et al.  Reduced switching-frequency voltage-balancing strategies for modular multilevel HVDC converters , 2013, 2014 IEEE PES General Meeting | Conference & Exposition.

[31]  Maryam Saeedifard,et al.  Operation, Control, and Applications of the Modular Multilevel Converter: A Review , 2015, IEEE Transactions on Power Electronics.

[32]  Staffan Norrga,et al.  Predictive sorting algorithm for modular multilevel converters minimizing the spread in the submodule capacitor voltages , 2013, 2013 IEEE ECCE Asia Downunder.

[33]  Reza Iravani,et al.  Dynamic performance of a modular multilevel back-to-back HVDC system , 2010, 2011 IEEE Power and Energy Society General Meeting.

[34]  Yanli Wan,et al.  Generalised analytical methods and current-energy control design for modular multilevel cascade converter , 2013 .

[35]  Zheng Xu,et al.  Optimized Control Strategy Based on Dynamic Redundancy for the Modular Multilevel Converter , 2015, IEEE Transactions on Power Electronics.

[36]  Li Peng,et al.  Characteristics of nearest level modulation method with circulating current control for modular multilevel converter , 2016 .

[37]  Alfred Rufer,et al.  Accurate Capacitor Voltage Ripple Estimation and Current Control Considerations for Grid-Connected Modular Multilevel Converters , 2014, IEEE Transactions on Power Electronics.

[38]  Alfred Rufer,et al.  Impact of Grid Asymmetries on the Operation and Capacitive Energy Storage Design of Modular Multilevel Converters , 2015, IEEE Transactions on Industrial Electronics.

[39]  Hans-Peter Nee,et al.  On dynamics and voltage control of the Modular Multilevel Converter , 2009, 2009 13th European Conference on Power Electronics and Applications.

[40]  Georgios Konstantinou,et al.  Closed-Loop Discontinuous Modulation Technique for Capacitor Voltage Ripples and Switching Losses Reduction in Modular Multilevel Converters , 2015, IEEE Transactions on Power Electronics.

[41]  Maryam Saeedifard,et al.  Control and Stability Analysis of Modular Multilevel Converter Under Low-Frequency Operation , 2015, IEEE Transactions on Industrial Electronics.

[42]  H. Akagi,et al.  PWM control and experiment of modular multilevel converters , 2008, 2008 IEEE Power Electronics Specialists Conference.

[43]  Bo Liu,et al.  Characteristic Investigation and Control of a Modular Multilevel Converter-Based HVDC System Under Single-Line-to-Ground Fault Conditions , 2015, IEEE Transactions on Power Electronics.

[44]  Ricardo Lizana,et al.  Decoupled Current Model and Control of Modular Multilevel Converters , 2015, IEEE Transactions on Industrial Electronics.

[45]  K.H. Ahmed,et al.  AC fault ride-through capability of a VSC-HVDC transmission systems , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[46]  Marcelo A. Perez,et al.  Control of Arm Capacitor Voltages in Modular Multilevel Converters , 2016, IEEE Transactions on Power Electronics.

[47]  Seung-Ki Sul,et al.  A cell capacitor energy balancing control of MMC-HVDC under the AC grid faults , 2015, 2015 9th International Conference on Power Electronics and ECCE Asia (ICPE-ECCE Asia).

[48]  Wenhua Liu,et al.  Decoupled Control of Modular Multilevel Converter Based on Intermediate Controllable Voltages , 2016, IEEE Transactions on Industrial Electronics.

[49]  Makoto Hagiwara,et al.  Theory and Experiment on an Optimal Carrier Frequency of a Modular Multilevel Cascade Converter With Phase-Shifted PWM , 2016, IEEE Transactions on Power Electronics.

[50]  Yuebin Zhou,et al.  Energy-balancing Control Strategy for Modular Multilevel Converters Under Submodule Fault Conditions , 2014, IEEE Transactions on Power Electronics.

[51]  Jean Bélanger,et al.  A Modular Multilevel Converter Pulse Generation and Capacitor Voltage Balance Method Optimized for FPGA Implementation , 2015, IEEE Transactions on Industrial Electronics.

[52]  Lu Zhao,et al.  The study of dead-time commutation and compensation in dual bridge series resonant DC/DC converter , 2017, 2017 20th International Conference on Electrical Machines and Systems (ICEMS).

[53]  Wenhua Liu,et al.  Capacitor voltage balancing control based on CPS-PWM of Modular Multilevel Converter , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[54]  Jinjun Liu,et al.  A Study on DC Voltage Control for Chopper-Cell-Based Modular Multilevel Converters in D-STATCOM Application , 2013, IEEE Transactions on Power Delivery.

[55]  Bo Liu,et al.  Steady-State Modeling of Modular Multilevel Converter Under Unbalanced Grid Conditions , 2017, IEEE Transactions on Power Electronics.

[56]  Seung-Ki Sul,et al.  A comprehensive cell capacitor energy control strategy of a modular multilevel converter (MMC) without a stiff DC bus voltage source , 2014, 2014 IEEE Applied Power Electronics Conference and Exposition - APEC 2014.

[57]  Marta Molinas,et al.  A Generalized Power Control Approach in ABC Frame for Modular Multilevel Converter HVDC Links Based on Mathematical Optimization , 2014, IEEE Transactions on Power Delivery.

[58]  Chengyong Zhao,et al.  New control strategy of decoupling the AC/DC voltage offset for modular multilevel converter , 2016 .

[59]  Rainer Marquardt,et al.  An innovative modular multilevel converter topology suitable for a wide power range , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[60]  Dianguo Xu,et al.  Control and Analysis of the Modular Multilevel DC De-Icer With STATCOM Functionality , 2016, IEEE Transactions on Industrial Electronics.

[61]  Xiaobo Hu,et al.  A New Control Strategy of Decoupling the AC/DC Voltage-offset for Modular Multilevel Converter , 2015 .

[62]  Zheng Xu,et al.  Suppressing DC Voltage Ripples of MMC-HVDC Under Unbalanced Grid Conditions , 2012, IEEE Transactions on Power Delivery.

[63]  Lennart Harnefors,et al.  VSC-HVDC Transmission with Cascaded Two-Level Converters , 2010 .

[64]  H. Akagi,et al.  Control and Analysis of the Modular Multilevel Cascade Converter Based on Double-Star Chopper-Cells (MMCC-DSCC) , 2011, IEEE Transactions on Power Electronics.

[65]  Jun Liang,et al.  Circulating current suppression for MMC-HVDC under unbalanced grid conditions , 2016, 2016 IEEE Industry Applications Society Annual Meeting.

[66]  Seung-Ki Sul,et al.  A cell capacitor energy balancing control of Modular Multilevel Converter considering the unbalanced AC grid conditions , 2014, 2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA).

[67]  Dushan Boroyevich,et al.  Steady-state analysis of voltages and currents in modular multilevel converter based on average model , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[68]  Ming Zhang,et al.  Circulating Harmonic Current Elimination of a CPS-PWM-Based Modular Multilevel Converter With a Plug-In Repetitive Controller , 2014, IEEE Transactions on Power Electronics.

[69]  Yuebin Zhou,et al.  Analysis and Control of Modular Multilevel Converters Under Unbalanced Conditions , 2013, IEEE Transactions on Power Delivery.

[70]  Makoto Hagiwara,et al.  A Transformerless Back-To-Back (BTB) System Using Modular Multilevel Cascade Converters For Power Distribution Systems , 2015, IEEE Transactions on Power Electronics.

[71]  Staffan Norrga,et al.  Analysis and operation of modular multilevel converters with phase-shifted carrier PWM , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[72]  Jiabing Hu,et al.  Improved Nearest-Level Modulation for a Modular Multilevel Converter With a Lower Submodule Number , 2016, IEEE Transactions on Power Electronics.

[73]  K. Ilves,et al.  Steady-State Analysis of Interaction Between Harmonic Components of Arm and Line Quantities of Modular Multilevel Converters , 2012, IEEE Transactions on Power Electronics.

[74]  Daniel Siemaszko Fast Sorting Method for Balancing Capacitor Voltages in Modular Multilevel Converters , 2015, IEEE Transactions on Power Electronics.

[75]  Dianguo Xu,et al.  Analysis of the Phase-Shifted Carrier Modulation for Modular Multilevel Converters , 2015, IEEE Transactions on Power Electronics.

[76]  Jang-Mok Kim,et al.  A Control Method of HVDC-Modular Multilevel Converter Based on Arm Current Under the Unbalanced Voltage Condition , 2015, IEEE Transactions on Power Delivery.

[77]  Bin Wu,et al.  A comparison of voltage balancing versus energy balancing approach for modular multilevel converters , 2016, IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society.

[78]  Zhengming Zhao,et al.  Fault-Tolerant Control of MMC With Hot Reserved Submodules Based on Carrier Phase Shift Modulation , 2017, IEEE Transactions on Power Electronics.

[79]  Brendan Peter McGrath,et al.  Low-Order Circulating Current Suppression of PWM-Based Modular Multilevel Converters Using DC-Link Voltage Compensation , 2018, IEEE Transactions on Power Electronics.

[80]  Makoto Hagiwara,et al.  Experimental Verification of a Modular Multilevel Cascade Inverter Based on Double-Star Bridge Cells , 2014, IEEE Transactions on Industry Applications.

[81]  José Antenor Pomilio,et al.  Voltage Balancing and Commutation Suppression in Symmetrical Cascade Multilevel Converters for Power Quality Applications , 2014, IEEE Transactions on Industrial Electronics.