A Literature Assessment of Multi-Level Inverters
Commenced in January 2007
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A Literature Assessment of Multi-Level Inverters

Authors: P. Kiruthika, K. Ramani

Abstract:

Multi-Level Inverter technology has been developed in the area of high-power medium-voltage energy scheme, because of their advantages such as devices of lower rating can be used thereby enabling the schemes to be used for high voltage applications. Reduced Total Harmonic Distortion (THD).Since the dv/dt is low; the Electromagnetic Interference from the scheme is low. To avoid the switching losses Lower switching frequencies can be used. In this paper present a survey of various topologies, control strategy and modulation techniques used by these inverters. Here the regenerative and superior topologies are also discussed.

Keywords: Cascaded H-bridge Multi-Level Inverter, Diode Clamped Multi-Level Inverter, Flying Capacitors Multi- Level Inverter, Multi-Level Inverter, Total Harmonic Distortion.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1100016

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[1] Zhiguo Pan, Fang Zheng Peng, Keith A. Corzine, Victor R. Stefanovic, John M. (Mickey) Leuthen, and Slobodan Gataric, “Voltage Balancing Control of Diode-Clamped Multilevel Rectifier/Inverter Systems” IEEE Trans On Industry Applications, Vol. 41, No. 6, pp. 1698-1706, Nov/Dec 2005.
[2] Grain P. Adam, Stephen J. Finney, Ahmed M. Massoud, and Barry W.Williams, “Capacitor Balance Issues of the Diode-Clamped Multilevel Inverter Operated in a Quasi Two-State Mode” IEEE Trans On Industrial Electronics, Vol. 55, NO. 8, pp. 3088- 3099 , Aug 2008.
[3] Baoming Ge, Fang Zheng Peng, Aníbal T. de Almeida, and Haitham Abu-Rub, “An Effective Control Technique for Medium-Voltage High-Power Induction Motor Fed by Cascaded Neutral-Point-Clamped Inverter”, IEEE Trans On Industrial Electronics, Vol. 57, No. 8, pp. 2659-2668, Aug 2010.
[4] Jeffrey Ewanchuk, John Salmon, and Behzad Vafakhah, “A Five-/Nine-Level Twelve-SwitchNeutral-Point-Clamped Inverter for High-Speed Electric Drives”, IEEE Trans On Industry Applications, Vol. 47, No. 5, pp. 2145-2153, Sept/Oct 2011.
[5] Arash A. Boora, Alireza Nami, Firuz Zare, Arindam Ghosh, and Frede Blaabjerg, “Voltage-Sharing Converter to Supply Single-Phase Asymmetrical Four-Level Diode-Clamped Inverter With High Power Factor Loads”, IEEE Trans On Power Electronics, Vol. 25, No. 10, Pp. 2507-2520, Oct 2010.
[6] C. Attaianese, M. Di Monaco, and G. Tomasso, “Three-Phase Three-Level Active NPC Converters for High Power System”, International Symposium on Power Electronics, Electrical Drives, Automation and Motion, pp. 204-209, Speedam 2010.
[7] Amit Kumar Jain, and V. T. Ranganathan, “VCE Sensing for IGBT Protection in NPC Three Level Converters—Causes For Spurious Trippings and Their Elimination”, IEEE Trans On Power Electronics, Vol. 26, No. 1, pp. 298-307, Jan 2011.
[8] Jun Li, Subhashish Bhattacharya, and Alex Q. Huang, “A New Nine-Level Active NPC (ANPC) Converter for Grid Connection of Large Wind Turbines for Distributed Generation”, IEEE Trans On Power Electronics, Vol. 26, No. 3, pp. 961-972, March 2011.
[9] Robert Stala, “Application of Balancing Circuit for DC-Link Voltages Balance in a Single-Phase Diode-Clamped Inverter With Two Three-Level Legs”, IEEE Trans On Industrial Electronics, Vol. 58, No. 9, pp. 4185-4195, Sept 2011.
[10] Jin Li, Jinjun Liu, Dushan Boroyevich, Paolo Mattavelli, and Yaosuo Xue,“Three-level Active Neutral-Point-Clamped Zero-Current-Transition Converter for Sustainable Energy Systems”, IEEE Trans. On Power Electronics, Vol. 26, No. 12, pp. 3680-3693, Dec 2011.
[11] Marcelo C. Cavalcanti, Alexandre M. Farias, Kleber C. Oliveira, Francisco A. S. Neves, and João L. Afonso, “Eliminating Leakage Currents in Neutral Point Clamped Inverters for Photovoltaic Systems”, IEEE Trans. On Industrial Electronics, Vol. 59, No. 1, pp. 435- 443, Jan 2012.
[12] Jin Li, Jinjun Liu, Dushan Boroyevich, Paolo Mattavelli, and Yaosuo Xue, “Comparative Analysis of Three-Level Diode Neural-Point-Clamped and Active Neural-Point-Clamped Zero-Current-Transition Inverters”, 8th International Conference on Power Electronics, pp. 2290-2295, May 30-June 3, 2011.
[13] Zhongyuan Cheng, and Bin Wu, “A Novel Switching Sequence Design for Five-Level NPC/H-Bridge Inverters With Improved Output Voltage Spectrum and Minimized Device Switching Frequency”, IEEE Trans. On Power Electronics, Vol. 22, No. 6, pp.2138-2145, Nov 2007.
[14] Pablo Lezana, José Rodríguez, and Diego A. Oyarzún, “Cascaded Multilevel Inverter With Regeneration Capability and Reduced Number of Switches”, IEEE Trans. On Industrial Electronics, Vol. 55, No. 3, pp. 1059-1066, March 2008.
[15] H. K. Al-Hadidi, A. M. Gole, and David A. Jacobson, “A Novel Configuration for a Cascade Inverter-Based Dynamic Voltage Restorer with Reduced Energy Storage Requirements”, IEEE Trans. On Power Delivery, Vol. 23, No. 2, pp. 881-888, April 2008.
[16] Yidan Li and Bin Wu, “A Novel DC Voltage Detection Technique in the CHB Inverter-Based STATCOM”, IEEE Trans. On Power Delivery, Vol. 23, No. 3, pp. 1613-1619, July 2008.
[17] Zhong Du, Leon M. Tolbert, Burak Ozpineci, and John N. Chiasson, “Fundamental Frequency Switching Strategies of a Seven-Level Hybrid Cascaded H-Bridge Multilevel Inverter”, IEEE Trans. On Power Electronics, Vol. 24, No. 1, pp. 25- 33, Jan 2009.
[18] Zhong Du, Burak Ozpineci, Leon M. Tolbert, and John N. Chiasson, “DC–AC Cascaded H-Bridge Multilevel Boost Inverter With No Inductors for Electric/Hybrid Electric Vehicle Applications”, IEEE Trans.On Industry Applications, Vol. 45, No. 3, Pp. 963-970, May/June 2009.
[19] Yu Liu, Alex Q. Huang, Wenchao Song, Subhashish Bhattacharya, and Guojun Tan, “Small-Signal Model-Based Control Strategy for Balancing Individual DC Capacitor Voltages in Cascade Multilevel Inverter-Based STATCOM”, IEEE Trans. On Industrial Electronics, Vol. 56, No. 6, pp. 2259-2269, June 2009.
[20] Elena Villanueva, Pablo Correa, José Rodríguez, and Mario Pacas, “Control of a Single-Phase Cascaded H-Bridge Multilevel Inverter for Grid-Connected Photovoltaic Systems”, IEEE Trans. On Industrial Electronics, Vol. 56, No. 11, pp. 4399-4406, Nov. 2009.
[21] Farid Khoucha, Soumia Mouna Lagoun, Khoudir Marouani, Abdelaziz Kheloui, and Mohamed El Hachemi Benbouzid, “Hybrid Cascaded H-Bridge Multilevel-Inverter Induction-Motor-Drive Direct Torque Control for Automotive Applications”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 3, pp. 892-899, March 2010.
[22] Rajesh Gupta, Arindam Ghosh, and Avinash Joshi, “Multiband Hysteresis Modulation and Switching Characterization for Sliding-Mode-Controlled Cascaded Multilevel Inverter”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 7, pp. 2344-2353, July 2010.
[23] Domingo A. Ruiz-Caballero, Reynaldo M. Ramos-Astudillo, Samir Ahmad Mussa, and Marcelo Lobo Heldwein, “Symmetrical Hybrid Multilevel DC–AC Converters With Reduced Number of Insulated DC Supplies”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 7, pp. 2307-2314, July 2010.
[24] Gierri Waltrich, and Ivo Barbi, “Three-Phase Cascaded Multilevel Inverter Using Power Cells With Two Inverter Legs in Series”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 8, pp. 2605-2612, Aug 2010.
[25] K. Sivakumar, Anandarup Das, Rijil Ramchand, Chintan Patel, and K. Gopakumar, “A Hybrid Multilevel Inverter Topology for an Open-End Winding Induction-Motor Drive Using Two-Level Inverters in Series With a Capacitor-Fed H-Bridge Cell”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 11, Pp. 3707-3714, Nov. 2010.
[26] Farid Khoucha, Mouna Soumia Lagoun, Abdelaziz Kheloui, and Mohamed El Hachemi Benbouzid, “A Comparison of Symmetrical and Asymmetrical Three-Phase H-Bridge Multilevel Inverter for DTC Induction Motor Drives”, IEEE Trans On Energy Conversion, Vol. 26, No. 1, pp. 64-72, March 2011.
[27] Jianjiang Shi, Wei Gou, Hao Yuan, Tiefu Zhao, and Alex Q. Huang,“Research on Voltage and Power Balance Control for Cascaded Modular Solid-State Transformer”, IEEE Trans. On Power Electronics, Vol. 26, No. 4, pp. 1154-1166, April 2011.
[28] Makoto Hagiwara, Ryo Maeda, and Hirofumi Akagi, “Control and Analysis of the Modular Multilevel Cascade Converter Based on Double-Star Chopper-Cells (MMCC-DSCC)”, IEEE Trans. On Power Electronics, Vol. 26, No. 6, pp.1649-1658, June 2011.
[29] Hossein Sepahvand, Jingsheng Liao, and Mehdi Ferdowsi,“Investigation on Capacitor Voltage Regulation in Cascaded H-Bridge Multilevel Converters With Fundamental Frequency Switching”, IEEE Trans. On Industrial Electronics, Vol. 58, No. 11, pp. 5102-5111, Nov. 2011.
[30] Javad Ebrahimi, Ebrahim Babaei, and Goverg B. Gharehpetian, “A New Topology of Cascaded Multilevel Converters With Reduced Number of Components for High-Voltage Applications”, IEEE Trans. On Power Electronics, Vol. 26, No. 11,pp. 3109-3118, Nov. 2011.
[31] Byeong-Mun Song, Junhyung Kim, Jih-Sheng Lai, Ki-Chul Seong, Hae-Jong Kim, and Sun-Soon Park, “A Multilevel Soft-Switching Inverter with Inductor Coupling”, IEEE Trans. On Industry Applications, Vol. 37, No. 2, pp. 628-636, March/April 2001.
[32] Miguel F. Escalante, Jean-Claude Vannier, and Amir Arzandé, “Flying Capacitor Multilevel Inverters and DTC Motor Drive Applications”, IEEE Trans. On Industrial Electronics, Vol. 49, No. 4, pp.809-815, Aug 2002.
[33] Keith A. Corzine, and Xiaomin Kou, “Capacitor Voltage Balancing in Full Binary Combination Schema Flying Capacitor Multilevel Inverters”, IEEE Power Electronic Letters, Vol. 1, No. 1, pp. 2-5, March 2003.
[34] Xiaomin Kou, Keith A. Corzine, and Yakov L. Familiant, “A Unique Fault-Tolerant Design for Flying Capacitor Multilevel Inverter”, IEEE Trans. On Power Electronics, Vol. 19, No. 4, pp. 979-987, July 2004.
[35] Anshuman Shukla, Arindam Ghosh, and Avinash Joshi, “Static Shunt and Series Compensations of an SMIB System Using Flying Capacitor Multilevel Inverter”, IEEE Trans. On Power Delivery, Vol. 20, No. 4, pp. 2613-2622, Oct 2005.
[36] Dae-Wook Kang, Byoung-Kuk Lee,Jae-Hyun Jeon, Tae-Jin Kim,and Dong-Seok Hyun, “A Symmetric Carrier Technique of CRPWM for Voltage Balance Method of Flying-Capacitor Multilevel Inverter”, IEEE Trans. On Industrial Electronics, Vol. 52, No. 3,pp. 879-888, June 2005.
[37] Anshuman Shukla, Arindam Ghosh, and Avinash Joshi, “Hysteresis Current Control Operation of Flying Capacitor Multilevel Inverter and Its Application in Shunt Compensation of Distribution Systems”, IEEE Trans. On Power Delivery, Vol. 22, No. 1, pp. 396-405, Jan 2007.
[38] Robert Stala, “The Switch-Mode Flying-Capacitor DC–DC Converters With Improved Natural Balancing”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 4, pp. 1369-1382, April 2010.
[39] M. Hojo, and K. Minato, “Integrated Power Conversion for DC Power System by Flying Capacitor Multi-Level Converter”, The 2010 International Power Electronics Conference, pp. 337-342, 2010.
[40] Pavel Kobrle, Jiří Pavelka, “Analysis of Permissible State of Flying Capacitors Multilevel Inverter Switch”, 14th International Power Electronics and Motion Control Conference, pp. T3-42 – T3-45, oct. 2010.
[41] Z.Oudjebour and E.M.Berkouk, M.O.Mahmoudi, “Modelling, Control and Feedback Control of the Multilevel Flying Capacitors Rectifier. Application to Double Star Induction Machine”, IEEE International Energy Conference, pp. 507-512, 2010.
[42] M. Trabelsi, and L. Ben-Brahim, “Development Of A Grid Connected Photovoltaic Power Conditioning System Based On Flying Capacitors Inverter”, 8th International Multi-Conference on Systems, Signals & Devices, pp. 1-6, May 2011.
[43] Mostafa Khazraei, Hossein Sepahvand, Keith A. Corzine, and Mehdi Ferdowsi, “Active Capacitor Voltage Balancing in Single-Phase Flying-Capacitor Multilevel Power Converters”, IEEE Trans. On Industrial Electronics, Vol. 59, No. 2, pp. 769-778, Feb. 2012.
[44] Anshuman Shukla, Arindam Ghosh, and Avinash Joshi, “Improved Multilevel Hysteresis Current Regulation and Capacitor Voltage Balancing Schemes for Flying Capacitor Multilevel Inverter”, IEEE Trans. On Power Electronics, Vol. 23, No. 2, pp. 518-529, March 2008.
[45] Giuseppe Carrara, Simone Gardella, Mario Marchesoni, Raffaele Salutari, and Giuseppe Sciutto, “A New Multilevel PWM Method: A Theoretical Analysis”, IEEE Trans. On Power Electronics, Vol. 7, No. 3, pp. 497-505, July 1992.
[46] N. A. Azli and M. S, Sakar, “A DSP-based Regular Sampled Pulsewidth Modulation (PWM) Technique for a Multilevel Inverter”, lmtematlonal Conference on Power System Technology, pp. 1613-1618,Nov. 2004.
[47] G.P. Adam, O. Anaya-Lara, G.M. Burt, D. Telford, B.W. Williams, and J.R. McDonald, “Modular multilevel inverter: pulse width modulation and capacitor balancing technique”, Published in IET Power Electronics, Vol. 3, Iss. 5, pp. 702-715, 2010.
[48] B. Shanthi and S.P. Natarajan, “Comparative Study on Unipolar Multicarrier PWM Strategies for Five Level Flying Capacitor Inverter”, International Conference On “Control, Automation, Communication And Energy Conservation, pp. 1-7, Jun 2009.
[49] Moncef Ben Smida and Faouzi Ben Ammar, “Modeling and DBC-PSC-PWM Control of a Three-Phase Flying-Capacitor Stacked Multilevel Voltage Source Inverter”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 7, pp. 2231-2239, July 2010.
[50] P.K. Chaturvedi, S. Jain, P. Agarwal, “Reduced switching loss pulse width modulation technique for three-level diode clamped inverter”, Published in IET Power Electronics, Vol. 4, Iss. 4, pp. 393–399, 2011.
[51] Suroso, and T. Noguchi, “Common-emitter topology of multilevel current-source pulse width modulation inverter with chopper-based DC current sources”, Published in IET Power Electronics, Vol. 4, Iss. 7, pp. 759–766, 2010.
[52] K.Ramani and Dr.A.Krishnan, “High Performance of Sinusoidal Pulse Width Modulation Based Flying Capacitor Multilevel Inverter fed induction Motor Drive”, International Journal of Computer Applications (0975 - 8887) Volume 1 – No. 24, pp. 98-103, 2010.
[53] Ilhami Colak, Ramazan Bayindir, Ersan Kabalci, “Design and Analysis of a 7-Level Cascaded Multilevel Inverter with Dual SDCSs”, International Symposium on Power Electronics, Electrical Drives, Automation and Motion, pp.180-185, 2010.
[54] Wahidah Abd. Halim and Nasrudin Abd. Rahim, “FPGA-Based Pulse-Width Modulation Control For Single-Phase Multilevel Inverter”, IEEE First Conference on Clean Energy and Technology, CET, pp.57-62, 2011.
[55] Amit Kumar Gupta, and Ashwin M. Khambadkone, “A Space Vector PWM Scheme for Multilevel Inverters Based on Two-Level Space Vector PWM”, IEEE Trans. On Industrial Electronics, Vol. 53, No. 5, pp. 1631-1639, Oct 2006.
[56] Ahmed M. Massoud, Stephen J. Finney, Andrew J. Cruden, and Barry W. Williams, “Three-Phase, Three-Wire, Five-Level Cascaded Shunt Active Filter for Power Conditioning, Using Two Different Space Vector Modulation Techniques”, IEEE Trans. On Power Delivery, Vol. 22, No. 4, pp. 2349-2361, Oct. 2007.
[57] Amit Kumar Gupta, and Ashwin M. Khambadkone, “A General Space Vector PWM Algorithm for Multilevel Inverters, Including Operation in Over modulation Range”, IEEE Trans. On Power Electronics, Vol. 22, No. 2, pp. 517-526, March 2007.
[58] Óscar López, Jacobo Álvarez, Jesús Doval-Gandoy, And Francisco D. Freijedo, “Multilevel Multiphase Space Vector PWM Algorithm With Switching State Redundancy”, IEEE Trans. On Industrial Electronics, Vol. 56, No. 3, pp. 792- 804, March 2009.
[59] Anish Gopinath, Aneesh Mohamed A. S., and M. R. Baiju, “Fractal Based Space Vector PWM for Multilevel Inverters—A Novel Approach”, IEEE Trans. On Industrial Electronics, Vol. 56, No. 4, pp. 1230-1237, April 2009.
[60] Aneesh Mohamed A. S., Anish Gopinath, and M. R. Baiju, “A Simple Space Vector PWM Generation Scheme for Any General n-Level Inverter”, IEEE Trans. On Industrial Electronics, Vol. 56, No. 5, pp. 1649-1656, May 2009.
[61] Mohan M. Renge and Hiralal M. Suryawanshi, “Three-Dimensional Space-Vector Modulation to Reduce Common-Mode Voltage for Multilevel Inverter”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 7, pp. 2324-2331, July 2010.
[62] Behzad Vafakhah, John Salmon, and Andrew M. Knight, “A New Space-Vector PWM With Optimal Switching Selection for Multilevel Coupled Inductor Inverters”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 7, pp. 2354-2364, July 2010.
[63] Ahmed M. Massoud, Shehab Ahmed, Prasad N. Enjeti, and Barry W. Williams, “Evaluation of a Multilevel Cascaded-Type Dynamic Voltage Restorer Employing Discontinuous Space Vector Modulation”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 7, pp. 2398- 2410 July 2010.
[64] Gabriele Grandi, and Darko Ostojic, “Carrier-Based Discontinuous Modulation for Dual Three-Phase Two-Level Inverters”, International Symposium on Power Electronics, Electrical Drives, Automation and Motion, pp. 839-844, Speedam 2010.
[65] Xu She, Alex Q. Huang, and Gangyao Wang, “3-D Space Modulation With Voltage Balancing Capability for a Cascaded Seven-Level Converter in a Solid-State Transformer”, IEEE TRANS. On Power Electronics, Vol. 26, No. 12, pp. 3778-3789, Dec. 2011.
[66] Mohamed. S. A. Dahidah, Vassilios G. Agelidis, and Machavaram V. Rao, “On Abolishing Symmetry Requirements in the Formulation of a Five-Level Selective Harmonic Elimination Pulse-Width Modulation Technique”, IEEE Trans. On Power Electronics, Vol. 21, No. 6, pp. 1833-1837, Nov. 2006.
[67] Vladimir Blasko, “A Novel Method for Selective Harmonic Elimination in Power Electronic Equipment”, IEEE Trans. On Power Electronics, Vol. 22, No. 1, pp. 223-228, Jan. 2007.
[68] Alan J. Watson, Patrick W. Wheeler, and Jon C. Clare, “A Complete Harmonic Elimination Approach to DC Link Voltage Balancing for a Cascaded Multilevel Rectifier”, IEEE Trans. On Industrial Electronics, Vol. 54, No. 6, pp. 2946-2953, Dec. 2007.
[69] Mohamed S. A. Dahidah, and Vassilios G. Agelidis, “Selective Harmonic Elimination PWM Control for Cascaded Multilevel Voltage Source Converters: A Generalized Formula”, IEEE Trans. On Power Electronics, Vol. 23, No. 4, pp. 1620-1630, July 2008.
[70] Vassilios G. Agelidis, Anastasios I. Balouktsis, and Mohamed S. A. Dahidah, “A Five-Level Symmetrically Defined Selective Harmonic Elimination PWM Strategy: Analysis and Experimental Validation”, IEEE Trans. On Power Electronics, Vol. 23, No. 1, pp. 19-26, Jan. 2008.
[71] R.N. Ray, D. Chatterjee, and S.K. Goswami, “Harmonics elimination in a multilevel inverter using the particle swarm optimisation technique”, Published in IET Power Electronics, Vol. 2, Iss. 6, pp. 646–652, 2008.
[72] Fanghua Zhang, and Yangguang Yan, “Selective Harmonic Elimination PWM Control Scheme on a Three-Phase Four-Leg Voltage Source Inverter”, IEEE Trans. On Power Electronics, Vol. 24, No.7, pp.1682-1689, July 2009.
[73] Wanmin Fei, Xinbo Ruan, and Bin Wu, “A Generalized Formulation of Quarter-Wave Symmetry SHE-PWM Problems for Multilevel Inverters”, IEEE Trans. On Power Electronics, Vol. 24, No. 7, pp. 1758-1766, July 2009.
[74] Wanmin Fei, Xiaoli Du, and Bin Wu, “A Generalized Half-Wave Symmetry SHE-PWM Formulation for Multilevel Voltage Inverters”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 9,pp. 3030-3038, Sept. 2010.
[75] H. Taghizadeh and M. Tarafdar Hagh, “Harmonic Elimination of Cascade Multilevel Inverters with Nonequal DC Sources Using Particle Swarm Optimization”, IEEE Trans. On Industrial Electronics, Vol. 57, No. 11, pp. 3678-3684, Nov. 2010.
[76] Mohamed S. A. Dahidah, Georgios Konstantinou, and Vassilios G. Agelidis, “SHE-PWM and Optimized DC Voltage Levels for Cascaded Multilevel Inverters Control”, IEEE Symposium On Industrial Electronics And Applications(ISIEA 2010), pp. 143-148,Oct 2010.
[77] Sridhar R. Pulikanti, Mohamed S. A. Dahidah, and Vassilios G. Agelidis, “Voltage Balancing Control of Three-Level Active NPC Converter Using SHE-PWM”, IEEE Trans. On Power Delivery, Vol. 26, No. 1, pp. 258-267, Jan. 2011.
[78] Sridhar R. Pulikanti, and Vassilios G. Agelidis, “Hybrid Flying-Capacitor-Based Active-Neutral-Point-Clamped Five-Level Converter Operated With SHE-PWM”, IEEE Trans. On Industrial Electronics, Vol. 58, No. 10, pp. 4643-4653, Oct. 2011.
[79] José Rodríguez, Luis Morán, Pablo Correa, and Cesar Silva, “A Vector Control Technique for Medium-Voltage Multilevel Inverters”, IEEE Trans. On Industrial Electronics, Vol. 49, No. 4, pp. 882-888, Aug. 2002.
[80] Anandarup D, K. Sivakumar, Rijil Ramchand, Chintan Patel, and K Gopakumar, “A High Resolution Pulse Width Modulation Technique Using Concentric Multilevel Dodecagonal Voltage Space Vector Structures”, IEEE International Symposium on Industrial Electronics (ISlE 2009), pp. 477-482, July 2009.