Design and Control of Modular Multilevel Converters

An increasing awareness of energy efficiency has led to the development of several improved semiconductor devices, power converter topologies and control schemes within the field of power electronics. Recent advances in multilevel converters, especially Modular Multilevel Converters (M2LCs), have improved upon existing power conversion technology in several aspects, including efficiency, power quality, modularity and reliability. There are, however, several challenges associated with the M2LC topology, which include capacitor voltage variations, voltage balancing, circulating currents and increased complexity of the overall control scheme. This thesis contributes to the ongoing research on the M2LC topology by proposing the following solutions to the aforementioned challenges. Typically, schemes with cascaded control loops have been used to control M2LCs and these schemes could affect the performance of the converter. Model Predictive Direct Current Control (MPDCC), which has a single loop, is proposed to keep load currents within tight bounds, while minimising both capacitor voltage variations and circulating currents. Moreover, the width of the current bounds sets the level of Total Harmonic Distortion (THD) of the currents. Simulated and experimental results for a 860-VA prototype M2LC are presented to demonstrate the effectiveness of the MPDCC scheme. A modified M2LC topology that employs a full-bridge module in each arm is proposed to minimise both circulating currents and capacitor voltage variations. The modified topology allows for decoupled control of the load and circulating currents, where the load and circulating currents are controlled by the half-bridge and full-bridge modules, respectively. A comparative investigation with respect to a conventional topology, using theoretical as well as experimental results for a 800-VA prototype converter, reveals that the modified topology offers superior performance. Capacitor voltage variations are difficult to control within the conventional M2LC, because the variations are coupled to arm currents and load currents. An alternative M2LC topology that uses Inductive Power Transfer (IPT) technology is proposed to simplify the control of the capacitor voltages. The IPT system keeps the voltage variations within bounds irrespective of the operating conditions of the converter. The feasibility of the concept and improvements achieved with the alternative topology are demonstrated using simulations of a 800-VA converter.

[1]  Brendan Peter McGrath,et al.  Multicarrier PWM strategies for multilevel inverters , 2002, IEEE Trans. Ind. Electron..

[2]  Dushan Boroyevich,et al.  A comprehensive study of neutral-point voltage balancing problem in three-level neutral-point-clamped voltage source PWM inverters , 2000 .

[3]  Sergio Busquets-Monge,et al.  Voltage Balancing Control of Diode-Clamped Multilevel Converters With Passive Front-Ends , 2008 .

[4]  Manfred Winkelnkemper,et al.  Low output frequency operation of the Modular Multi-Level Converter , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

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

[6]  M.P. Bahrman,et al.  The ABCs of HVDC transmission technologies , 2007, IEEE Power and Energy Magazine.

[7]  Staffan Norrga,et al.  Capacitor voltage ripple shaping in modular multilevel converters allowing for operating region extension , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[8]  Mangesh Borage,et al.  Analysis and design of an LCL-T resonant converter as a constant-current power supply , 2005, IEEE Transactions on Industrial Electronics.

[9]  J. Pou,et al.  Optimal injection of harmonics in circulating currents of modular multilevel converters for capacitor voltage ripple minimization , 2013, 2013 IEEE ECCE Asia Downunder.

[10]  Georgios Konstantinou,et al.  Active Redundant Submodule Configuration in Modular Multilevel Converters , 2013, IEEE Transactions on Power Delivery.

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

[12]  Wenjing Liu,et al.  Accelerated Model of Modular Multilevel Converters in PSCAD/EMTDC , 2013, IEEE Transactions on Power Delivery.

[13]  E. H. Watanabe,et al.  A comparative study of dynamic performance of HVDC system based on conventional VSC and MMC-VSC , 2010, 2010 IREP Symposium Bulk Power System Dynamics and Control - VIII (IREP).

[14]  Marc Hiller,et al.  Modulation, Losses, and Semiconductor Requirements of Modular Multilevel Converters , 2010, IEEE Transactions on Industrial Electronics.

[15]  A. W. Green,et al.  10 kHz inductively coupled power transfer-concept and control , 1994 .

[16]  P. Munch,et al.  Modeling and current control of modular multilevel converters considering actuator and sensor delays , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[17]  Yun Li,et al.  PID control system analysis, design, and technology , 2005, IEEE Transactions on Control Systems Technology.

[18]  Tobias Geyer,et al.  Low complexity model predictive control in power electronics and power systems , 2005 .

[19]  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.

[20]  Ralph Kennel,et al.  Predictive control in power electronics and drives , 2008, 2008 IEEE International Symposium on Industrial Electronics.

[21]  Hans-Peter Nee,et al.  Evaluation of control and modulation methods for modular multilevel converters , 2010, The 2010 International Power Electronics Conference - ECCE ASIA -.

[22]  Boguslaw Grzesik,et al.  Capacitance and inductance selection of the modular multilevel converter , 2013, 2013 15th European Conference on Power Electronics and Applications (EPE).

[23]  Hans-Peter Nee,et al.  Prospects and challenges of future HVDC SuperGrids with modular multilevel converters , 2011, Proceedings of the 2011 14th European Conference on Power Electronics and Applications.

[24]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[25]  Rainer Marquardt,et al.  A new AC/AC-multilevel converter family applied to a single-phase converter , 2003, The Fifth International Conference on Power Electronics and Drive Systems, 2003. PEDS 2003..

[26]  Georgios Konstantinou,et al.  Selective harmonic elimination pulse-width modulation of modular multilevel converters , 2013 .

[27]  Wim van der Merwe Natural Balancing of the 2-Cell Modular Multilevel Converter , 2014 .

[28]  R. Dreisbach,et al.  STANFORD UNIVERSITY. , 1914, Science.

[29]  Grant Covic,et al.  A Unity-Power-Factor IPT Pickup for High-Power Applications , 2010, IEEE Transactions on Industrial Electronics.

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

[31]  Rainer Marquardt,et al.  A new AC/AC multilevel converter family , 2005, IEEE Transactions on Industrial Electronics.

[32]  John T. Boys,et al.  Magnetically coupled systems for power transfer to electric vehicles , 1995, Proceedings of 1995 International Conference on Power Electronics and Drive Systems. PEDS 95.

[33]  W. van der Merwe The output-current THD vs capacitor voltage ripple trade-off in the 2-cell single phase M2LC , 2013, 2013 IEEE International Conference on Industrial Technology (ICIT).

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

[35]  Ke Li,et al.  New Technologies of Modular Multilevel Converter for VSC-HVDC Application , 2010, 2010 Asia-Pacific Power and Energy Engineering Conference.

[36]  Chwei-Sen Wang,et al.  Investigating an LCL load resonant inverter for inductive power transfer applications , 2004, IEEE Transactions on Power Electronics.

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

[38]  Jing Zhang,et al.  Circulating current suppressing controller in modular multilevel converter , 2010, IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society.

[39]  M. Braun,et al.  Dimensioning and design of a Modular Multilevel Converter for drive applications , 2012, 2012 15th International Power Electronics and Motion Control Conference (EPE/PEMC).

[40]  Vassilios G. Agelidis,et al.  Analysis of multi-carrier PWM methods for back-to-back HVDC systems based on modular multilevel converters , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[41]  Hans-Peter Nee,et al.  Inner control of Modular Multilevel Converters - An approach using open-loop estimation of stored energy , 2010, The 2010 International Power Electronics Conference - ECCE ASIA -.

[42]  P. Ladoux,et al.  Comparison of high voltage modular AC/DC converters , 2012, International Symposium on Power Electronics Power Electronics, Electrical Drives, Automation and Motion.

[43]  Ying Jiang-Hafner,et al.  HVDC with voltage source converters - a powerful standby black start facility , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition.

[44]  P. N. Paraskevopoulos State-Space Analysis of Control Systems , 2017 .

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

[46]  M. Saeedifard,et al.  Minimization of the capacitor voltage fluctuations of a modular multilevel converter by circulating current control , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[47]  Trillion Q. Zheng,et al.  Harmonic analysis of the DC capacitor voltage in modular multilevel converter based STATCOM , 2011, 2011 6th IEEE Conference on Industrial Electronics and Applications.

[48]  Hunter H. Wu,et al.  A High Efficiency 5 kW Inductive Charger for EVs Using Dual Side Control , 2012, IEEE Transactions on Industrial Informatics.

[49]  S. Bernet,et al.  Comparison of IGCT and IGBT for the use in the modular multilevel converter for HVDC applications , 2012, International Multi-Conference on Systems, Sygnals & Devices.

[50]  Marian P. Kazmierkowski,et al.  Current control techniques for three-phase voltage-source PWM converters: a survey , 1998, IEEE Trans. Ind. Electron..

[51]  Manfred Winkelnkemper,et al.  A modular direct converter for transformerless rail interties , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[52]  Marcelo A. Pérez,et al.  Multilevel Converters: An Enabling Technology for High-Power Applications , 2009, Proceedings of the IEEE.

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

[54]  Staffan Norrga,et al.  Circulating current control in modular multilevel converters with fundamental switching frequency , 2012, Proceedings of The 7th International Power Electronics and Motion Control Conference.

[55]  Felix Kammerer,et al.  Straight forward vector control of the Modular Multilevel Converter for feeding three-phase machines over their complete frequency range , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[56]  Hirofumi Akagi Classification, Terminology, and Application of the Modular Multilevel Cascade Converter (MMCC) , 2011 .

[57]  Stig Munk-Nielsen,et al.  A new modular multilevel converter with integrated energy storage , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[58]  Steffen Bernet,et al.  The active NPC converter and its loss-balancing control , 2005, IEEE Transactions on Industrial Electronics.

[59]  Staffan Norrga,et al.  On Energy Storage Requirements in Modular Multilevel Converters , 2014, IEEE Transactions on Power Electronics.

[60]  Manfred Morari,et al.  Model Predictive Direct Torque Control—Part I: Concept, Algorithm, and Analysis , 2009, IEEE Transactions on Industrial Electronics.

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

[62]  Staffan Norrga,et al.  HVDC SuperGrids with modular multilevel converters — The power transmission backbone of the future , 2012, International Multi-Conference on Systems, Sygnals & Devices.

[63]  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.

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

[65]  K. Ilves,et al.  Analysis of arm current harmonics in modular multilevel converters with main-circuit filters , 2012, International Multi-Conference on Systems, Sygnals & Devices.

[66]  M. Braun,et al.  Fully decoupled current control and energy balancing of the Modular Multilevel Matrix Converter , 2012, 2012 15th International Power Electronics and Motion Control Conference (EPE/PEMC).

[67]  T. Geyer,et al.  Model Predictive Direct Current Control: Formulation of the Stator Current Bounds and the Concept of the Switching Horizon , 2012, IEEE Industry Applications Magazine.

[68]  Udaya K. Madawala,et al.  A Comparison of Model Predictive Control Schemes for MV Induction Motor Drives , 2013, IEEE Transactions on Industrial Informatics.

[69]  Qiang Li,et al.  Investigation of the Harmonic Optimization Approaches in the New Modular Multilevel Converters , 2010, Asia-Pacific Power and Energy Engineering Conference.

[70]  Jiangchao Qin,et al.  Predictive control of a three-phase DC-AC Modular Multilevel Converter , 2012, 2012 IEEE Energy Conversion Congress and Exposition (ECCE).

[71]  U. Madawala,et al.  A Bidirectional Inductive Power Interface for Electric Vehicles in V2G Systems , 2011, IEEE Transactions on Industrial Electronics.

[72]  M. Ciobotaru,et al.  Effect of redundant sub-module utilization on modular multilevel converters , 2012, 2012 IEEE International Conference on Industrial Technology.

[73]  Udaya K. Madawala,et al.  Design of a bi-directional inverter for a wireless V2G system , 2010, 2010 IEEE International Conference on Sustainable Energy Technologies (ICSET).

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

[75]  Max Beuermann,et al.  Modular Load Commutated Inverters - A Proven Concept for High Power Applications , 2008, 2008 IEEE Industry Applications Society Annual Meeting.

[76]  G.A. Covic,et al.  Detection of the Tuned Point of a Fixed-Frequency LCL Resonant Power Supply , 2009, IEEE Transactions on Power Electronics.

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

[78]  Udaya K. Madawala,et al.  A two-way inductive power interface for single loads , 2010, 2010 IEEE International Conference on Industrial Technology.

[79]  R. Marquardt Stromrichterschaltung mit verteilten Energiespeichern und Verfahren zur Steuerung einer derartigen Stromrichterschaltung , 2001 .

[80]  Tonny W. Rasmussen,et al.  Modular VSC converter based HVDC power transmission from offshore wind power plant: Compared to the conventional HVAC system , 2010, 2010 IEEE Electrical Power & Energy Conference.

[81]  Marc Hiller,et al.  A new highly modular medium voltage converter topology for industrial drive applications , 2009, 2009 13th European Conference on Power Electronics and Applications.

[82]  Anandarup Das,et al.  A Pulse Width Modulation technique for reducing switching frequency for modular multilevel converter , 2011, India International Conference on Power Electronics 2010 (IICPE2010).

[83]  Marc Hiller,et al.  Modelling, simulation and analysis of a Modular Multilevel Converter for medium voltage applications , 2010, 2010 IEEE International Conference on Industrial Technology.

[84]  Kurt Friedrich,et al.  Modern HVDC PLUS application of VSC in Modular Multilevel Converter topology , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[85]  Hongyang Huang,et al.  Parameter design principle of the arm inductor in modular multilevel converter based HVDC , 2010, 2010 International Conference on Power System Technology.

[86]  D. Retzmann,et al.  Prospects of multilevel VSC technologies for power transmission , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition.

[87]  Rik W. De Doncker,et al.  Control of the Modular Multi-Level Converter for minimized cell capacitance , 2011, Proceedings of the 2011 14th European Conference on Power Electronics and Applications.

[88]  S. Bernet,et al.  A comparison of three-level converters versus two-level converters for low-voltage drives, traction, and utility applications , 2005, IEEE Transactions on Industry Applications.

[89]  Jay H. Lee,et al.  Model predictive control: past, present and future , 1999 .

[90]  Colin Oates,et al.  A comparison of two methods of estimating losses in the Modular Multi-Level Converter , 2011, Proceedings of the 2011 14th European Conference on Power Electronics and Applications.

[91]  R. Burgos,et al.  AC circulating currents suppression in modular multilevel converter , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[92]  P. Steimer,et al.  Active Neutral-Point-Clamped Multilevel Converters , 2005, 2005 IEEE 36th Power Electronics Specialists Conference.

[93]  Yang Jie,et al.  Research on control and protection system for Shanghai Nanhui MMC VSC-HVDC demonstration project , 2012 .

[94]  P MarceloA.,et al.  Generalized Modeling and Simulation of a Modular Multilevel Converter , 2011 .

[95]  Bin Wu,et al.  Recent Advances and Industrial Applications of Multilevel Converters , 2010, IEEE Transactions on Industrial Electronics.

[96]  D. G. Holmes,et al.  Optimized space vector switching sequences for multilevel inverters , 2003 .

[97]  D. R. Critchley,et al.  A ew Hybrid Multi-Level Voltage-Source Converter with DC Fault Blocking Capability , 2010 .

[98]  Hirofumi Akagi,et al.  A New Neutral-Point-Clamped PWM Inverter , 1981, IEEE Transactions on Industry Applications.

[99]  Staffan Norrga,et al.  Dynamic Analysis of Modular Multilevel Converters , 2013, IEEE Transactions on Industrial Electronics.

[100]  Vassilios G. Agelidis,et al.  Performance evaluation of half-bridge cascaded multilevel converters operated with multicarrier sinusoidal PWM techniques , 2009, 2009 4th IEEE Conference on Industrial Electronics and Applications.

[101]  Hans-Joachim Knaak,et al.  Modular multilevel converters and HVDC/FACTS: A success story , 2011, Proceedings of the 2011 14th European Conference on Power Electronics and Applications.

[102]  Georgios Konstantinou,et al.  Circulating current control and evaluation of carrier dispositions in modular multilevel converters , 2013, 2013 IEEE ECCE Asia Downunder.

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

[104]  Gonzalo Abad,et al.  Modular Multilevel Converter With Different Submodule Concepts—Part I: Capacitor Voltage Balancing Method , 2013, IEEE Transactions on Industrial Electronics.

[105]  Udaya K. Madawala,et al.  A contactless bi-directional power interface for plug-in hybrid vehicles , 2009, 2009 IEEE Vehicle Power and Propulsion Conference.

[106]  Vassilios G. Agelidis,et al.  Operation of a modular multilevel converter with selective harmonic elimination PWM , 2011, 8th International Conference on Power Electronics - ECCE Asia.

[107]  David Arancibia,et al.  Decoupled control of a three-phase to three-phase modular multilevel matrix converter , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[108]  Jiangchao Qin,et al.  Predictive Control of a Modular Multilevel Converter for a Back-to-Back HVDC System , 2013, IEEE Transactions on Power Delivery.

[109]  Steffen Bernet,et al.  Continuous model of Modular Multilevel Converter with experimental verification , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[110]  Marcelo A. Pérez,et al.  Predictive Control of AC–AC Modular Multilevel Converters , 2012, IEEE Transactions on Industrial Electronics.

[111]  Giri Venkataramanan,et al.  Hierarchical Control of Bridge-of-Bridge Multilevel Power Converters , 2010, IEEE Transactions on Industrial Electronics.

[112]  S. Norrga,et al.  Evaluation of different carrier-based PWM methods for modular multilevel converters for HVDC application , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[113]  K. Ilves,et al.  Open-Loop Control of Modular Multilevel Converters Using Estimation of Stored Energy , 2011, IEEE Transactions on Industry Applications.

[114]  Hans-Peter Nee,et al.  On interaction between internal converter dynamics and current control of high-performance high-power AC motor drives with modular multilevel converters , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[115]  Makoto Hagiwara,et al.  Start-Up and Low-Speed Operation of an Electric Motor Driven by a Modular Multilevel Cascade Inverter , 2013, IEEE Transactions on Industry Applications.

[116]  Tobias Geyer,et al.  Direct Model Predictive Control: A Review of Strategies That Achieve Long Prediction Intervals for Power Electronics , 2014, IEEE Industrial Electronics Magazine.

[117]  Staffan Norrga,et al.  Arm-current-based control of modular multilevel converters , 2013, 2013 15th European Conference on Power Electronics and Applications (EPE).

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

[119]  Akshay Kumar Rathore,et al.  Synchronous Optimal Pulsewidth Modulation for Low-Switching-Frequency Control of Medium-Voltage Multilevel Inverters , 2010, IEEE Transactions on Industrial Electronics.

[120]  Steffen Bernet,et al.  Submodule capacitor dimensioning for Modular Multilevel Converters , 2012, 2012 IEEE Energy Conversion Congress and Exposition (ECCE).

[121]  James B. Rawlings,et al.  Postface to “ Model Predictive Control : Theory and Design ” , 2012 .

[122]  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.

[123]  F. Hassan,et al.  Direct model predictive control for medium voltage modular multi-level STATCOM with and without energy storage , 2012, 2012 IEEE International Conference on Industrial Technology.

[124]  N. Zargari,et al.  Medium voltage drives: what does the future hold? , 2004, The 4th International Power Electronics and Motion Control Conference, 2004. IPEMC 2004..

[125]  Makoto Hagiwara,et al.  A Medium-Voltage Motor Drive With a Modular Multilevel PWM Inverter , 2010, IEEE Transactions on Power Electronics.

[126]  Kui Wang,et al.  Voltage Balancing and Fluctuation-Suppression Methods of Floating Capacitors in a New Modular Multilevel Converter , 2013, IEEE Transactions on Industrial Electronics.

[127]  V. Staudt,et al.  Analysis of the module-voltage fluctuations of the Modular Multilevel Converter at variable speed drive applications , 2012, 2012 13th International Conference on Optimization of Electrical and Electronic Equipment (OPTIM).

[128]  Dushan Boroyevich,et al.  A survey on the modular multilevel converters — Modeling, modulation and controls , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[129]  Zheng Xu,et al.  Impact of Sampling Frequency on Harmonic Distortion for Modular Multilevel Converter , 2011, IEEE Transactions on Power Delivery.

[130]  Cesar Silva,et al.  Delay Compensation in Model Predictive Current Control of a Three-Phase Inverter , 2012, IEEE Transactions on Industrial Electronics.

[131]  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 -.

[132]  Colin Oates,et al.  A methodology for developing ‘Chainlink’ converters , 2009, 2009 13th European Conference on Power Electronics and Applications.

[133]  Hans-Peter Nee,et al.  Global Asymptotic Stability of Modular Multilevel Converters , 2014, IEEE Transactions on Industrial Electronics.

[134]  Tobias Geyer,et al.  Generalized Model Predictive Direct Torque Control: Long prediction horizons and minimization of switching losses , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[135]  John T. Boys,et al.  Stability and control of inductively coupled power transfer systems , 2000 .

[136]  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.

[137]  Tobias Geyer,et al.  Trajectory extension methods for model predictive direct torque control , 2011, 2011 Twenty-Sixth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[138]  U.K. Madawala,et al.  “Living and mobility”- a novel multipurpose in-house grid interface with plug in hybrid BlueAngle , 2008, 2008 IEEE International Conference on Sustainable Energy Technologies.

[139]  Bin Wu,et al.  High-Power Converters and AC Drives , 2006 .

[140]  U N Gnanarathna,et al.  Efficient Modeling of Modular Multilevel HVDC Converters (MMC) on Electromagnetic Transient Simulation Programs , 2011, IEEE Transactions on Power Delivery.

[141]  Aniruddha M. Gole,et al.  Modular multi-level converter based HVDC system for grid connection of offshore wind power plant , 2010 .

[142]  Grant Covic,et al.  Development of a Single-Sided Flux Magnetic Coupler for Electric Vehicle IPT Charging Systems , 2013, IEEE Transactions on Industrial Electronics.

[143]  Axel Mertens,et al.  A new 3-phase direct modular multilevel converter , 2011, Proceedings of the 2011 14th European Conference on Power Electronics and Applications.

[144]  Fred Wang,et al.  Arm inductance selection principle for modular multilevel converters with circulating current suppressing control , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[145]  M. Pereira,et al.  SVC PLUS: An MMC STATCOM for network and grid access applications , 2011, 2011 IEEE Trondheim PowerTech.