Power Balancing in Cascaded H-Bridge and Modular Multilevel Converters Under Unbalanced Operation: A Review

Multilevel Voltage-Source Converters (VSC) based on modular structures are envisioned as a prominent alternative for grid and industry applications. Foremost among these are the Cascaded H-Bridge (CHB) and the Modular Multilevel Converter (MMC). In this context, depending on the application and the power conversion structure, unbalanced operating conditions can be asked to the converter. Previous investigations regarding the operation and the solutions for modular structures under unbalanced conditions have already addressed this topic, but information is dispersed over a wide number of sources. This paper identifies, classifies, and analyzes the intercluster active power balancing strategies for the adequate operation of the most commonly used modular structures in some typical unbalanced operating scenarios: the Static Synchronous Compensator (STATCOM) under unbalanced voltage and/or current conditions, the unequal power generation in large-scale photovoltaic (PV) power plants, and the uneven power distribution in a battery energy storage system (BESS). Each of the applications has been independently studied so as to provide a comprehensive analysis of the alternative techniques found in the specialized literature, clearly explaining their respective strengths and drawbacks. Several future challenges have been identified during the study, which will involve greater research effort in this key research topic.

[1]  Hirofumi Akagi,et al.  Development of a 500-kW Modular Multilevel Cascade Converter for Battery Energy Storage Systems , 2014 .

[2]  Jang-Mok Kim,et al.  Circulating Current Control in MMC Under the Unbalanced Voltage , 2013, IEEE Transactions on Power Delivery.

[3]  Leon M. Tolbert,et al.  Multilevel converters as a utility interface for renewable energy systems , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[4]  Noor Izzri Abdul Wahab,et al.  Response of D-STATCOM under unbalanced voltage condition caused by SLG fault , 2003, Proceedings. Student Conference on Research and Development, 2003. SCORED 2003..

[5]  M. Takasaki,et al.  A Transformerless D-STATCOM Based on a Multivoltage Cascade Converter Requiring No DC Sources , 2012, IEEE Transactions on Power Electronics.

[6]  Alireza Nami,et al.  Modular Multilevel Converters for HVDC Applications: Review on Converter Cells and Functionalities , 2015, IEEE Transactions on Power Electronics.

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

[8]  Mazhar Ali,et al.  Investigation of Zero Sequence Injection Method For Balancing of Multi-level Cascaded-H Bridge Inverter , 2018, 2018 International Conference on Computing, Electronic and Electrical Engineering (ICE Cube).

[9]  Mauricio Aredes,et al.  Multi-pulse STATCOM operation under unbalanced voltages , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[10]  Hirofumi Akagi,et al.  A Phase-Shifted-PWM D-STATCOM Using a Modular Multilevel Cascade Converter (SSBC)—Part I: Modeling, Analysis, and Design of Current Control , 2015, IEEE Transactions on Industry Applications.

[11]  M. H. Nehrir,et al.  A Review of Hybrid Renewable/Alternative Energy Systems for Electric Power Generation: Configurations, Control, and Applications , 2012, IEEE Transactions on Sustainable Energy.

[12]  Jinjun Liu,et al.  Research on the Unbalanced Compensation of Delta-Connected Cascaded H-Bridge Multilevel SVG , 2018, IEEE Transactions on Industrial Electronics.

[13]  Massimo Bongiorno,et al.  Investigation of Negative-Sequence Injection Capability of Cascaded H-Bridge Converters in Star and Delta Configuration , 2017, IEEE Transactions on Power Electronics.

[14]  R. Marquardt,et al.  Modular Multilevel Converter: An universal concept for HVDC-Networks and extended DC-Bus-applications , 2010, The 2010 International Power Electronics Conference - ECCE ASIA -.

[15]  Hirofumi Akagi,et al.  Discussions on a battery energy storage system based on a cascade PWM converter with star configuration , 2010, The 2010 International Power Electronics Conference - ECCE ASIA -.

[16]  Bin Wu,et al.  Powering the Future of Industry: High-Power Adjustable Speed Drive Topologies , 2012, IEEE Industry Applications Magazine.

[17]  Georgios Konstantinou,et al.  Cascaded H-Bridge Multilevel PV Topology for Alleviation of Per-Phase Power Imbalances and Reduction of Second Harmonic Voltage Ripple , 2016, IEEE Transactions on Power Electronics.

[18]  R. Teodorescu,et al.  Internal Balance during Low-Voltage-Ride-Through of the Modular Multilevel Converter STATCOM , 2017 .

[19]  Anshuman Shukla,et al.  Circulating Current Optimization Control of MMC , 2021, IEEE Transactions on Industrial Electronics.

[20]  Remus Teodorescu,et al.  High Performance Simulation Models for ES-STATCOM Based on Modular Multilevel Converters , 2020, IEEE Transactions on Energy Conversion.

[21]  Ping Wang,et al.  High performance controller with effective voltage balance regulation for a cascade STATCOM with star configuration under unbalanced conditions , 2013, 2013 15th European Conference on Power Electronics and Applications (EPE).

[22]  Georgios Konstantinou,et al.  Delta-Connected Cascaded H-Bridge Multilevel Converters for Large-Scale Photovoltaic Grid Integration , 2017, IEEE Transactions on Industrial Electronics.

[23]  Xu Cai,et al.  Analysis and Fault Control of Hybrid Modular Multilevel Converter With Integrated Battery Energy Storage System , 2017, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[24]  B. Blazic,et al.  Improved D-StatCom control for operation with unbalanced currents and voltages , 2006, IEEE Transactions on Power Delivery.

[25]  P. Lehn,et al.  Evaluation of Emerging Modular Multilevel Converters for BESS Applications , 2014, IEEE Transactions on Power Delivery.

[26]  Pablo Correa,et al.  Control of a Single-Phase Cascaded H-Bridge Multilevel Inverter for Grid-Connected Photovoltaic Systems , 2009, IEEE Transactions on Industrial Electronics.

[27]  S. Umashankar,et al.  A comprehensive review on CHB MLI based PV inverter and feasibility study of CHB MLI based PV-STATCOM , 2017 .

[28]  Jinjun Liu,et al.  Control strategy study of STATCOM based on cascaded PWM H-bridge converter with delta configuration , 2012, Proceedings of The 7th International Power Electronics and Motion Control Conference.

[29]  Qiang Song,et al.  Control of a Cascade STATCOM With Star Configuration Under Unbalanced Conditions , 2009, IEEE Transactions on Power Electronics.

[30]  Stefan Schroeder,et al.  Limitations of the H-bridge multilevel STATCOMs in compensation of current imbalance , 2015, 2015 17th European Conference on Power Electronics and Applications (EPE'15 ECCE-Europe).

[31]  Massimo Bongiorno,et al.  Investigation of negative sequence injection capability in H-bridge multilevel STATCOM , 2014, 2014 16th European Conference on Power Electronics and Applications.

[32]  Wenhua Liu,et al.  Research on unbalance load compensation by cascaded STATCOM with star configuration , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[33]  Hirofumi Akagi,et al.  Energy-balancing control of a delta-configured modular multilevel cascade inverter for utility-scale photovoltaic systems , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[34]  Bangyin Liu,et al.  Individual Phase Current Control Based on Optimal Zero-Sequence Current Separation for a Star-Connected Cascade STATCOM Under Unbalanced Conditions , 2016, IEEE Transactions on Power Electronics.

[35]  Lanhua Zhang,et al.  Modular Multilevel Converter Control Strategy Based on Arm Current Control Under Unbalanced Grid Condition , 2018, IEEE Transactions on Power Electronics.

[36]  C.O. Nwankpa,et al.  A new type of STATCOM based on cascading voltage source inverters with phase-shifted unipolar SPWM , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[37]  Georgios Konstantinou,et al.  A Review of Power Electronics for Grid Connection of Utility-Scale Battery Energy Storage Systems , 2016, IEEE Transactions on Sustainable Energy.

[38]  Georgios Konstantinou,et al.  Flexible Control of Photovoltaic Grid-Connected Cascaded H-Bridge Converters During Unbalanced Voltage Sags , 2018, IEEE Transactions on Industrial Electronics.

[39]  R.E. Betz,et al.  Symmetry Compensation using a H-Bridge Multilevel STATCOM with Zero Sequence Injection , 2006, Conference Record of the 2006 IEEE Industry Applications Conference Forty-First IAS Annual Meeting.

[40]  Luis Marroyo,et al.  Individual Voltage Balancing Strategy for PWM Cascaded H-Bridge Converter-Based STATCOM , 2008, IEEE Transactions on Industrial Electronics.

[41]  Bin Wu,et al.  Cascaded H-bridge multilevel converter topology and three-phase balance control for large scale photovoltaic systems , 2012, 2012 3rd IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG).

[42]  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.

[43]  Po-Tai Cheng,et al.  The Delta-Connected Cascaded H-Bridge Converter Application in Distributed Energy Resources and Fault Ride Through Capability Analysis , 2017, IEEE Transactions on Industry Applications.

[44]  Bin Wu,et al.  Predictive Control of Cascaded H-Bridge Converters Under Unbalanced Power Generation , 2017, IEEE Transactions on Industrial Electronics.

[45]  Xiuli Wang,et al.  Circulating Current Suppressing Strategy for MMC-HVDC Based on Nonideal Proportional Resonant Controllers Under Unbalanced Grid Conditions , 2015, IEEE Transactions on Power Electronics.

[46]  Mariusz Malinowski,et al.  A Survey on Cascaded Multilevel Inverters , 2010, IEEE Transactions on Industrial Electronics.

[47]  H. Akagi,et al.  Average Power Balancing Control of a STATCOM Based on the Cascaded H-Bridge PWM Converter With Star Configuration , 2013, IEEE Transactions on Industry Applications.

[48]  Peter W. Lehn,et al.  Internal Power Flow of a Modular Multilevel Converter With Distributed Energy Resources , 2014, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[49]  Po-tai Cheng,et al.  Delta-Connected Cascaded H-Bridge Converter Application in Unbalanced Load Compensation , 2015, IEEE Transactions on Industry Applications.

[50]  Georgios Konstantinou,et al.  Optimal zero sequence injection in multilevel cascaded H-bridge converter under unbalanced photovoltaic power generation , 2014, 2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA).

[51]  S. Allebrod,et al.  New transformerless, scalable Modular Multilevel Converters for HVDC-transmission , 2008, 2008 IEEE Power Electronics Specialists Conference.

[52]  Po-Tai Cheng,et al.  A Flexible DC Voltage Balancing Control Based on the Power Flow Management for Star-Connected Cascaded H-Bridge Converter , 2016, IEEE Transactions on Industry Applications.

[53]  Paolo Mattavelli,et al.  An adaptive controller in stationary reference frame for D-statcom in unbalanced operation , 2004, IEEE Transactions on Industrial Electronics.

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

[55]  Frede Blaabjerg,et al.  Overview of Control and Grid Synchronization for Distributed Power Generation Systems , 2006, IEEE Transactions on Industrial Electronics.

[56]  R.W. De Doncker,et al.  A novel DC-link voltage control of PWM-switched cascade cell multi-level inverter applied to STATCOM , 2005, Fourtieth IAS Annual Meeting. Conference Record of the 2005 Industry Applications Conference, 2005..

[57]  R. E. Betz,et al.  Control and modulation scheme for a Cascaded H-Bridge multi-level converter in large scale photovoltaic systems , 2012, 2012 IEEE Energy Conversion Congress and Exposition (ECCE).

[58]  Makoto Hagiwara,et al.  Negative-sequence reactive-power control by the modular multilevel cascade converter based on double-star chopper-cells (MMCC-DSCC) , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[59]  J. Rabkowski,et al.  Silicon Carbide Power Transistors: A New Era in Power Electronics Is Initiated , 2012, IEEE Industrial Electronics Magazine.

[60]  R.E. Betz,et al.  Using a cascaded H-bridge STATCOM for rebalancing unbalanced voltages , 2007, 2007 7th Internatonal Conference on Power Electronics.

[61]  Y. Sumi,et al.  New Static Var Control Using Force-Commutated Inverters , 1981, IEEE Transactions on Power Apparatus and Systems.

[62]  Bin Wu,et al.  Control of a cascaded H-bridge multilevel converter for grid connection of photovoltaic systems , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[63]  H. P. Mohammadi,et al.  A Transformerless Medium-Voltage STATCOM Topology Based on Extended Modular Multilevel Converters , 2011, IEEE Transactions on Power Electronics.

[64]  H. Akagi,et al.  Active-Power Control of Individual Converter Cells for a Battery Energy Storage System Based on a Multilevel Cascade PWM Converter , 2012, IEEE Transactions on Power Electronics.

[65]  Allan F. Cupertino,et al.  Benchmarking of Modular Multilevel Converter Topologies for ES-STATCOM Realization , 2020 .

[66]  Hirofumi Akagi,et al.  Classification, Terminology, and Application of the Modular Multilevel Cascade Converter (MMCC) , 2010, IEEE Transactions on Power Electronics.

[67]  Leon M. Tolbert,et al.  Modular Cascaded H-Bridge Multilevel PV Inverter With Distributed MPPT for Grid-Connected Applications , 2015, IEEE Transactions on Industry Applications.

[68]  Thomas A. Lipo,et al.  Pulse Width Modulation for Power Converters: Principles and Practice , 2003 .

[69]  H. Akagi,et al.  Negative-sequence reactive-power control by a PWM STATCOM based on a modular multilevel cascade converter (MMCC-SDBC) , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[70]  Saad Mekhilef,et al.  Medium Voltage Large-Scale Grid-Connected Photovoltaic Systems Using Cascaded H-Bridge and Modular Multilevel Converters: A Review , 2020, IEEE Access.

[71]  Zhang Li,et al.  Control of a Modular Multi-level Converter STATCOM for low voltage ride-through condition , 2016 .

[72]  Yong Kang,et al.  A Novel DC Capacitor Voltage Balance Control Method for Cascade Multilevel STATCOM , 2012, IEEE Transactions on Power Electronics.

[73]  F. L. Luo,et al.  Trinary hybrid multilevel inverter used in STATCOM with unbalanced voltages , 2005 .

[74]  Jinjun Liu,et al.  A brief comparision of series-connected modular topology in STATCOM application , 2013, 2013 IEEE ECCE Asia Downunder.

[75]  Francesc Guinjoan,et al.  Energy-Balance Control of PV Cascaded Multilevel Grid-Connected Inverters Under Level-Shifted and Phase-Shifted PWMs , 2013, IEEE Transactions on Industrial Electronics.

[76]  P. Cartwright,et al.  VSC transmission operating under unbalanced AC conditions - analysis and control design , 2005, IEEE Transactions on Power Delivery.

[77]  Laszlo Gyugyi,et al.  Reactive Power Generation and Control by Thyristor Circuits , 1976, IEEE Transactions on Industry Applications.

[78]  Alain Sanchez-Ruiz,et al.  Methodology to Evaluate Converter Structures based on 3L NPC PEBBs , 2020, IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society.

[79]  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.

[80]  Georgios Konstantinou,et al.  Power Balance Optimization of Cascaded H-Bridge Multilevel Converters for Large-Scale Photovoltaic Integration , 2016, IEEE Transactions on Power Electronics.

[81]  K. R. Padiyar,et al.  Dynamics and Control of Electric Transmission and Microgrids , 2019 .

[82]  J.P. Barton,et al.  Energy storage and its use with intermittent renewable energy , 2004, IEEE Transactions on Energy Conversion.

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

[84]  Georgios Konstantinou,et al.  Delta-connected cascaded H-bridge multilevel photovoltaic converters , 2015, IECON 2015 - 41st Annual Conference of the IEEE Industrial Electronics Society.

[85]  Hirofumi Akagi,et al.  Theoretical Comparison in Energy-Balancing Capability Between Star- and Delta-Configured Modular Multilevel Cascade Inverters for Utility-Scale Photovoltaic Systems , 2016, IEEE Transactions on Power Electronics.

[86]  Daniel J. Rogers,et al.  A Comparison of Grid-Connected Battery Energy Storage System Designs , 2017, IEEE Transactions on Power Electronics.

[87]  Johann Jaeger,et al.  Integration of batteries into a modular multilevel converter , 2013, 2013 15th European Conference on Power Electronics and Applications (EPE).

[88]  Chen Xu,et al.  Unbalanced PCC voltage regulation with positive- and negative-sequence compensation tactics for MMC-DSTATCOM , 2016 .

[89]  Josep M. Guerrero,et al.  Reactive Power Strategy of Cascaded Delta-Connected STATCOM Under Asymmetrical Voltage Conditions , 2017, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[90]  Li Zhang,et al.  Analysis of star and delta connected modular multilevel cascaded converter-based STATCOM for load unbalanced compensation , 2018 .

[91]  D. Soto,et al.  A comparison of high-power converter topologies for the implementation of FACTS controllers , 2002, IEEE Trans. Ind. Electron..

[92]  Hirofumi Akagi,et al.  Instantaneous power theory and applications to power conditioning , 2007 .

[93]  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.

[94]  Huai Wang,et al.  Wide-Scale Adoption of Photovoltaic Energy: Grid Code Modifications Are Explored in the Distribution Grid , 2015, IEEE Industry Applications Magazine.

[95]  Fang Zheng Peng,et al.  Dynamic performance and control of a static VAr generator using cascade multilevel inverters , 1996, IAS '96. Conference Record of the 1996 IEEE Industry Applications Conference Thirty-First IAS Annual Meeting.

[96]  Yonghai Xu,et al.  Comparison of cascaded multilevel and modular multilevel converters with energy storage system , 2016, 2016 IEEE 11th Conference on Industrial Electronics and Applications (ICIEA).

[97]  Fang Zheng Peng,et al.  A multilevel voltage-source inverter with separate DC sources for static VAr generation , 1995, IAS '95. Conference Record of the 1995 IEEE Industry Applications Conference Thirtieth IAS Annual Meeting.

[98]  Hirofumi Akagi,et al.  A Phase-Shifted PWM D-STATCOM Using a Modular Multilevel Cascade Converter (SSBC)—Part II: Zero-Voltage-Ride-Through Capability , 2015, IEEE Transactions on Industry Applications.

[99]  Nan Li,et al.  SOH Balancing Control Method for the MMC Battery Energy Storage System , 2018, IEEE Transactions on Industrial Electronics.

[100]  Jan T. Bialasiewicz,et al.  Power-Electronic Systems for the Grid Integration of Renewable Energy Sources: A Survey , 2006, IEEE Transactions on Industrial Electronics.

[101]  F. Blaabjerg,et al.  Power electronics as efficient interface in dispersed power generation systems , 2004, IEEE Transactions on Power Electronics.

[102]  Frede Blaabjerg,et al.  Flexible Active Power Control of Distributed Power Generation Systems During Grid Faults , 2007, IEEE Transactions on Industrial Electronics.

[103]  T. Ise,et al.  A configuration and control method of cascade H-bridge STATCOM , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[104]  F.Z. Peng,et al.  A universal STATCOM with delta-connected cascade multilevel inverter , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[105]  Marian P. Kazmierkowski,et al.  Power Electronics for Renewable Energy Systems, Transportation and Industrial Applications [Book News] , 2014, IEEE Industrial Electronics Magazine.

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

[107]  Makoto Hagiwara,et al.  Theoretical analysis and control of the modular multilevel cascade converter based on double-star chopper-cells (MMCC-DSCC) , 2010, The 2010 International Power Electronics Conference - ECCE ASIA -.

[108]  Hirofumi Akagi,et al.  Instantaneous Reactive Power Compensators Comprising Switching Devices without Energy Storage Components , 1984, IEEE Transactions on Industry Applications.

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

[110]  Frede Blaabjerg,et al.  Low voltage ride-through of single-phase transformerless photovoltaic inverters , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[111]  P. W. Hammond,et al.  A new approach to enhance power quality for medium voltage AC drives , 1997 .

[112]  Remus Teodorescu,et al.  Improving the Reactive Current Compensation Capability of Cascaded H-Bridge Based STATCOM Under Unbalanced Grid Voltage , 2020, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[113]  Po-Tai Cheng,et al.  Zero-sequence voltage injection for DC capacitor voltage balancing control of the star-connected cascaded H-bridge PWM converter under unbalanced grid , 2014, 2014 IEEE Energy Conversion Congress and Exposition (ECCE).

[114]  Georgios Konstantinou,et al.  Operation and Control Methods of Modular Multilevel Converters in Unbalanced AC Grids: A Review , 2019, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[115]  Jinjun Liu,et al.  Arm Current Stress Reduction Technique for a Delta-Connected Solid State Transformer Using Zero-Sequence Current Injection , 2021, IEEE Transactions on Power Electronics.

[116]  Robert H. Lasseter,et al.  Statcom controls for operation with unbalanced voltages , 1998 .

[117]  Remus Teodorescu,et al.  Comparison of DSCC and SDBC Modular Multilevel Converters for STATCOM Application During Negative Sequence Compensation , 2019, IEEE Transactions on Industrial Electronics.

[118]  P. Rodriguez,et al.  Enhanced control strategy for MMC-based STATCOM for unbalanced load compensation , 2014, 2014 16th European Conference on Power Electronics and Applications.

[119]  Georgios Konstantinou,et al.  Power Balance of Cascaded H-Bridge Multilevel Converters for Large-Scale Photovoltaic Integration , 2016, IEEE Transactions on Power Electronics.

[120]  Henry Shu-Hung Chung,et al.  Circuit-level comparison of STATCOM technologies , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[121]  Jinjun Liu,et al.  A Novel DC Voltage Control Method for STATCOM Based on Hybrid Multilevel H-Bridge Converter , 2013, IEEE Transactions on Power Electronics.

[122]  Li Zhang,et al.  Unbalanced and Reactive Load Compensation Using MMCC-Based SATCOMs With Third-Harmonic Injection , 2019, IEEE Transactions on Industrial Electronics.

[123]  G. Mirzaeva,et al.  Phase leg voltage balancing of a cascaded H-Bridge converter based STATCOM using zero sequence injection , 2009, 2009 13th European Conference on Power Electronics and Applications.

[124]  Axel Mertens,et al.  Comparison of Cascaded H-Bridge and Modular Multilevel Converters for BESS application , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[125]  Haibing Hu,et al.  A Simple Zero-Sequence-Voltage-Based Cluster Voltage Balancing Control and the Negative Sequence Current Compensation Region Identification for Star-Connected Cascaded H-Bridge STATCOM , 2018, IEEE Transactions on Power Electronics.

[126]  Ke Ma,et al.  Asymmetrical Reactive Power Capability of Modular Multilevel Cascade Converter Based STATCOMs for Offshore Wind Farm , 2019, IEEE Transactions on Power Electronics.

[127]  Georgios Konstantinou,et al.  Analytical Derivation of Intersubmodule Active Power Disparity Limits in Modular Multilevel Converter-Based Battery Energy Storage Systems , 2021, IEEE Transactions on Power Electronics.

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

[129]  Jih-Sheng Lai,et al.  Modeling, analysis and control of cascaded-multilevel converter-based STATCOM , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[130]  Qunjing Wang,et al.  Implementation of a cascade D-STATCOM under unbalanced conditions , 2014, 2014 International Power Electronics and Application Conference and Exposition.

[131]  Vassilios G. Agelidis,et al.  Comparison of zero-sequence injection methods in cascaded H-bridge multilevel converters for large-scale photovoltaic integration , 2017 .

[132]  H. Akagi,et al.  A Transformerless Energy Storage System Based on a Cascade Multilevel PWM Converter With Star Configuration , 2008, IEEE Transactions on Industry Applications.

[133]  Eneko Unamuno,et al.  Power Capability Boundaries for an Inverter Providing Multiple Grid Support Services , 2020 .

[134]  T. Ise,et al.  Control Scheme of Cascaded H-Bridge STATCOM Using Zero-Sequence Voltage and Negative-Sequence Current , 2010, IEEE Transactions on Power Delivery.

[135]  Mariesa L. Crow,et al.  STATCOM control for power system voltage control applications , 2000 .

[136]  R.W. De Doncker,et al.  Comparison of Hard-Switched Multi-Level Inverter Topologies for STATCOM by Loss-Implemented Simulation and Cost Estimation , 2005, 2005 IEEE 36th Power Electronics Specialists Conference.

[137]  Georgios Konstantinou,et al.  On extending the energy balancing limit of multilevel cascaded H-bridge converters for large-scale photovoltaic farms , 2013, 2013 Australasian Universities Power Engineering Conference (AUPEC).

[138]  H. Akagi,et al.  Control and Performance of a Transformerless Cascade PWM STATCOM With Star Configuration , 2007, IEEE Transactions on Industry Applications.