Reference 1. B. Mokrytzki, “Pulse width modulated inverters for ac motor drives,” Transactions on Industry and General Applications, Vol. IGA-3(6), Nov./Dec. 1967, pp. 493–503. 2. Edward W. Davis and Ralph W. Meier, “Application of Inverter Drives” IEEE Transactions on Industry and General Applications, Volume: IGA-5, Issue: 1 Jan./Feb. 1969, pp. 45 – 52. 3. J. J. Pollack, “Advanced pulse width modulated inverter techniques,” IEEE Transactions on Industry Applications, Vol.8, No.2, March/April 1972, pp. 145–154. 4. Dennis P. Connors, Dennis A. Jarc, Roger H. Daugherty, “Considerations in Applying Induction Motors with Solid-State Adjustable Frequency Controllers,” IEEE Transactions on Industry Applications, Vol. 1A-20, no. 1, Jan./Feb. 1984, pp. 113–121. 5. H. Stemmler, “High-power industrial drives”, Proc. IEEE, Vol. 82(8), 1994, pp. 1266–1286. 6. J.W. Gray and F.J. Haydock, “Industrial power quality considerations when installing adjustable speed drive systems,” IEEE Transactions on Industry Applications, vol. 32, no. 3, May/June 1996, pp. 646–652. 7. B. K. Bose, “Power Electronics and Motor Drives Recent Progress and Perspective,” IEEE Transactions on Industrial Electronics, vol. 56, no. 2, Feb. 2009, pp. 581–588. Multilevel Inverters : Topologies 8. J.S. Lai, F. Z. Peng, “Multilevel converters – A new breed of power converters,” IEEE Transaction on Industrial Application, Vol. 32, No.3, May/June 1996, pp. 509 – 517. 9. José Rodrígue, Jih-Sheng Lai, and Fang Zheng Peng, “Multilevel Inverters: A Survey of Topologies, Controls, and Applications,” IEEE Transactions on Industrial Electronics, Vol. 49, No. 4, Aug. 2002, pp. 724 – 738. 10. Jose Rodriguez, Steffen Bernet, Bin Wu, Jorge O. Pontt and Samir Kouro “Multilevel Voltage-Source-Converter Topologies for Industrial Medium-Voltage Drives,” IEEE Transactions on Industrial Electronics, Vol.54, No.6, Dec. 2007, pp. 2930–2945. 11. L. G. Franquelo, J. L. Rodriguez, J. Leon, S. Kouro, R. Portillo, and M. A. Prats, “The age of multilevel converters arrives,” IEEE Transactions on Industrial Electronics Magazine, Vol. 2, No. 2, Jun. 2008, pp. 28–39. 12. J. Rodrı´guez, L. G. Franquelo, S. Kouro, J. I. Leo´n, R. C. Portillo, M. M. Prats and M. A. Pe´rez, “Multilevel Converters: An Enabling Technology for High-Power Applications” Proceedings of the IEEE, Vol. 97, No. 11, Nov. 2009, pp.1786–1817. 157 13. V. T. Ranganathan “High power AC motor drives: Status review and work at IISc” Journal of the Indian Institute of Science, Vol. 90:3 Jul–Sep 2010. 14. Haitham Abu-Rub, Joachim Holtz, Jose Rodriguez, and Ge Baoming, “Medium-Voltage Multilevel Converters—State of the Art, Challenges, and Requirements in Industrial Applications,” IEEE Transactions on Industrial Electronics, Vol. 57, No. 8, Aug. 2010, pp. 2581 – 2595. 15. Samir Kouro, Mariusz Malinowski, K. Gopakumar, Josep Pou, Leopoldo G. Franquelo, BinWu, Jose Rodriguez, Marcelo A. Pérez, and Jose I. Leon, “Recent Advances and Industrial Applications of Multilevel Converters,” IEEE Transactions on Industrial Electronics, Vol. 57, No. 8, pp. 2553 – 2579 Aug. 2010. 16. M. P. Kazmierkowski, L. G. Franquelo, J. Rondriguez, M. A. Perez, and J. I. Leon, “ HighPerformance Motor Drives,” IEEE Industrial Electronics Magazine, Sept. 2011, pp. 6 – 26. Neutral Point Clamped Multilevel Inverter 17. A. Nabae, I. Takahashi, and H. Akagi, “A neutral point clamped PWM inverter,” IEEE Transactions on Industry Applications, Vol. 17, No. 5, Sept./Oct. 1981, pp. 518–523. 18. N. Celanovic and D. Boroyevich, “A comprehensive study of neutral-point voltage balancing problem in three-level neutral-point-clamped voltage source PWM inverters”, IEEE Transactions on Power Electronics, Vol.15, No.2, March 2000, pp.242–249. 19. R. M. Tallam, R. Naik and T.A. Nondahl, “A carrier-based PWM scheme for neutral-point voltage balancing in three-level inverters” IEEE Transactions on Industry Applications, Vol. 41 , No. 6, Nov./Dec. 2005 , pp. 1734 – 1743. 20. C. Meyer, C. Romaus and R.W. DeDoncker, “Five level neutral-point clamped inverter for a dynamic voltage restorer”, European Conference on Power Electronics and Applications 2005, pp. 11–14. 21. S. A. Khajehoddin, A. Bakhshai and P.K. Jain, “A Simple Voltage Balancing Scheme for mLevel Diode-Clamped Multilevel Converters Based on a Generalized Current Flow Model” IEEE Transactions on Power Electronics, Volume: 23, Issue: 5, Sept. 2008 , pp. 2248 – 2259. 22. J. Zaragoza, J. Pou, S. Ceballos, E. Robles, C. Jaen, and M. Corbalan, “Voltage Balance Compensator for a Carrier-Based Modulation in the Neutral-Point- Clamped Converter”, IEEE Transactions on Industrial Electronics, Vol. 56 , No. 2, Feb. 2009, pp. 305 – 314. 158 23. Jose Rodriguez, Steffen Bernet, Peter K. Steimer, and Ignacio E. Lizama “A Survey on Neutral-Point-Clamped Inverters,” IEEE Transactions on Industrial Electronics, Vol. 57, No. 7, July 2010, pp. 2219 – 2230. Flying Capacitor Multilevel Inverters 24. T. A. Meynard, H. Foch, “Multi-level Conversion: High Voltage Choppers and Voltage Source-Source Inverters,” IEEE-PESC Conference Record, 1992, pp.397-403. 25. Bum-Seok Suh, Dong-Seok Hyun, “A new N-level High Voltage Inversion System,” IEEE Transaction on Industrial Electronics, vol. 44, no. 1, Feb. 1997, pp. 107–115. 26. M. F. Escalante, J. C. Vannier and Arzande, “Flying Capacitor Multilevel Inverters and DTC Motor Drive Applications,” IEEE Transactions on Industrial Electronics, Vol. 49, No. 4, Aug. 2002, pp: 809 – 815. 27. T. A. Meynard, H. Foch, P. Thomas, J. Courault, R. Jakob, and M. Nahrstaedt, “Multicell converters: basic concepts and industry applications”, IEEE Transactions on Industrial Electronics, Vol. 49, No.5, Oct. 2002, pp. 955 – 964. 28. Pedro Roncero-Sánchez, and Enrique Acha “Dynamic Voltage Restorer Based on Flying Capacitor Multilevel Converters Operated by Repetitive Control,” IEEE Transactions on Power Delivery, Vol. 24, No. 2, April 2009 pp. 951- 960. Cascaded H-bridge Multilevel Inverters 29. M. Marchesoni, M. Mazzzucchelli, S. Tenconi, “A Non conventional Power Converter for plasma Stabilization,” IEEE Transactions on Power Electronics, vol. 5, no. 7, Apr. 1990, pp. 212–219. 30. F. Z. Peng, J. S. Lai, J. W. McKeever and J. VanCoeevering, “ A Multilevel Voltage Source Inverter with Separate DC Sources for Static Var Generation,” IEEE Transactions on Industry Applications, vol. 32, no. 5, Sept./Oct. 1996, pp. 202–208. 31. P. W. Hammond, “A new approach to enhance power quality for medium voltage AC drives,” IEEE Transactions on Industry Applications, vol. 33, no. 1, Jan./Feb. 1997, pp. 202– 208. 32. L. M. Tolbert, F. Z. Peng, and T. G. Habetler, “Multilevel converters for large electric drives,” IEEE Transactions on Industry Applications, vol. 35, no. 1, pp. 36–44, Jan./Feb. 1999. 33. M.D. Manjrekar, Thomas A. Lipo, “A Hybrid Multilevel Inverter Topology for Drive Applications,” IEEE Applied Power Electronics Conference 1998, pp. 523–529. 159 34. M.D. Manjrekar, P. K. Steimer, Thomas A. Lipo, “Hybrid multilevel power conversion system: A competitive solution for high-power applications” IEEE Transactions on Industry Applications, Vol. 36, No. 3, May/June 2000, pp. 834 – 841. 35. R. Teodorescu, F. Blaaberg, J. K. Pedersen, E. Cengelci and P. Enjeti, “ Multilevel Inverter by Cascading Industrial VSI,” IEEE Transactions on Industrial Electronics, Vol. 49, No. 4, Aug. 2002, pp. 832 – 838. 36. V. T. Somasekhar and K. Gopakumar “Three-level inverter configuration cascading two twolevel inverters,” IEE Proc.-Electrical Power Applications Vol. 150, No. 3, May 2003, pp. 245–254. 37. Mariusz Malinowski, K. Gopakumar, Jose Rodriguez, and Marcelo A. Pérez, “A Survey on Cascaded Multilevel Inverters,” IEEE Transactions on Industrial Electronics, Vol. 57, No. 7, July 2010, pp. 2197 – 2206. 38. P. Lezana, and R. Aceitón “ Hybrid Multicell Converter: Topology and Modulation,” IEEE Trans. on Transactions on Industrial Electronics, Vol. 58, No. 9, Sept. 2011, pp. 3938 – 3945. Multilevel Inverter Configurations with Open-end winding induction motor 39. Stemmler H., and Guggenbach P., “Configurations of High Power Voltage Source Inverter drives,” EPE Conf. Brighton UK 1993 pp. 7–12. 40. Xiao Q. Wu and Andreas Steimel “Direct Self Control of Induction Machines Fed by a Double Three level Inverter” IEEE Transactions on Industrial Electronics, Vol. 44, No. 4, Aug. 1997, pp. 519–527. 41. V. T. Somasekhar, K. Gopakumar, A. Pittet and V. T. Ranganathan, “ A novel PWM Inverter switching strategy for a dual Two-level inverter fed open-end winding induction motor drive”, in Conf. Proc. IEEE Power Electronics and Drive Systems –PEDS 2001, Vol.1, pp.196–202. 42. E. G. Shivakumar, K. Gopakumar, S. K. Sinha, A. Pittet, and V. T. Ranganathan, “Spacevector PWM control of dual inverter fed open-end-winding induction motor drive,” in Proc. IEEE APEC, 2001, pp. 399–405. 43. E. G. Shivakumar, V. T. Somasekhar, K. K. Mohapatra, K. Gopakumar, L. Umanand, and S. K. Sinha, “A multi level space phasor based PWM strategy for an open-end winding induction motor drive using two inverters with different DC-link voltages,” in Proc. 4th IEEE Int. Conf. Power Electronics and Drive Systems, 2001, pp. 169–175. 44. V. T. Somasekhar, K. Gopakumar, E. G. Shivakumar and A. Pittet, “A multilevel Voltage Space Phasor Generation for an open-end winding induction motor drive using a Dual 160 Inverter scheme with Asymmetrical DC-link voltages,” European Power Electronics and Drive Journal, Vol.12, No.3, Aug. 2002, pp. 21-29. 45. Kawabata Y, Nasu M. , Nomoto T., Eijiogu E.C., Kawabata T. “High efficiency and low acoustic noise drive using open winding ac motor and two Space Vector Modulated Inverters,” IEEE Transactions on Industrial Electronics , Vol. 49, No.4, Aug. 2002, pp. 783 – 789. 46. V. T. Somasekhar, K. Gopakumar, M. R. Baiju, K. K. Mohapatra, and L. Umanand, “A multilevel inverter system for an induction motor with open-end windings,” IEEE Transactions on Industrial Electronics, vol. 52, no. 3, Jun. 2005, pp. 824–836. 47. Baiju, M.R.; Mohapatra, K.K., Somasekhar, V.T., Gopakumar, K., Umanand, L. “A fivelevel inverter voltage space phasor generation for an open-end winding induction motor drive”, Proceedings of Applied Power Electronics Conference and Exposition 2003, APEC '03. vol.2, pp. 826 – 832. 48. M.R. Baiju, K. Gopakumar, K.K. Mohapatra, V.T. Somasekhar, L. Umanand, “A five-level inverter voltage space phasor generation for an open-end winding induction motor drive”, IEE Proc.-Electrical Power Applications, Vol. 150, No. 5, Sept. 2003, pp.531-538. 49. V. T. Somasekhar, K. Gopakumar, E. G. Shivakumar, and S. K. Sinha, “A space vector modulation scheme for a dual two level inverter fed open-end winding induction motor drive for the elimination of zero sequence currents,” European Power Electronics and Drive Journal, Vol. 12, No. 2 , May 2002, pp. 26–36. 50. V.T. Somasekhar, K. Gopakumar, A. Pittet and V.T. Ranganathan “ PWM inverter switching strategy for a dual two-level inverter fed open-end winding induction motor drive with a switched neutral” IEE Proceedings on Electric Power Applications, Vol. 149, No. 2, 2002, pp. 152 - 160. 51. K.K. Mohapatra, K. Gopakumar, V.T. Somasekhar, and L. Umanand, “A harmonic elimination and suppression scheme for an open-end winding induction motor drive”, IEEE Transactions on Industrial Electronics, Vol.50, No.6, Dec. 2003, pp. 1187–1196. 52. M.R. Baiju, K.K. Mohapatra, R.S. Kanchan, and K. Gopakumar, “A Dual Two-Level Inverter scheme with Common Mode Voltage Elimination for an Induction Motor Drive,” IEEE Transactions on Power Electronics. Vol. 19, No.3, May 2004, pp 794–804. 53. R.S. Kanchan, P.N. Tekwani, M. R. Baiju, K. Gopakumar, and A. Pittet, “Three-level inverter configuration with common-mode voltage elimination for induction motor drive”, IEE Proceedings on Electric Power Applications, Vol. 152, No.2, pp.261–270, 2005 54. R. S. Kanchan, P. N. Tekwani, and K. Gopakumar “Three-Level Inverter Scheme With Common Mode Voltage Elimination and DC Link Capacitor Voltage Balancing for an Open- 161 End Winding Induction Motor Drive” IEEE Transactions on Power Electronics, Vol. 21, No. 6, Nov. 2006, pp.1676–1683. 55. P. N. Tekwani, R. S. Kanchan, and K. Gopakumar, “A dual five-level inverter-fed induction motor drive with common-mode voltage elimination and dc-link capacitor voltage balancing using only the switching state redundancy—Part I,” IEEE Transactions on Industrial Electronics, Vol. 54, Vo. 5, Oct. 2007, pp. 2600–2608. 56. P. N. Tekwani, R. S. Kanchan, and K. Gopakumar, “A dual five-level inverter-fed induction motor drive with common-mode voltage elimination and dc-link capacitor voltage balancing using only the switching state redundancy—Part II,” IEEE Transactions on Industrial Electronics, Vol. 54, No. 5, Oct. 2007, pp. 2609–2617. 57. G. Mondal, K. Gopakumar, P. N. Tekwani, and E. Levi, “A reduced switch count five-level inverter with common-mode voltage elimination for an open-end winding induction motor drive,” IEEE Transactions on Industrial Electronics, Vol. 54, No. 4, Aug. 2007, pp. 2344– 2351. 58. P.N. Tekwani, R.S. Kanchan and K. Gopakumar, “Current-error space vector based hysteresis PWM controller for three level voltage source inverter fed drives” IEE Proc.Electrical Power Application, Vol. 152, No. 5, Sept. 2005, pp. 1283 – 1295. 59. V. T. Somasekhar, S. Srinivas, and K. Kranti Kumar “Effect of Zero-Vector Placement in a Dual-Inverter Fed Open-End Winding Induction-Motor Drive With a Decoupled SpaceVector PWM Strategy”, IEEE Transactions on Industrial Electronics, Vol. 55, No. 6, June 2008, pp. 2497–2505. 60. B. V. Reddy, V. T. Somasekhar, and Y. Kalyan, “Decoupled Space-Vector PWM Strategies for a Four-Level Asymmetrical Open-End Winding Induction Motor Drive With Waveform Symmetries,” IEEE Transactions on Industrial Electronics, Vol.58, No.11, Nov. 2011, pp. 5130–5141. 61. G. Mondal, K. Sivakumar, R. Ramchand, K. Gopakumar and E. Levi, “A Dual Seven-Level Inverter Supply for an Open-End Winding Induction Motor Drive,” IEEE Transactions on Industrial Electronics, Vol. 56, No. 5, May 2009, pp. 1665–1673. 62. Sivakumar K., Das A., Ramchand R. Patel, C., Gopakumar, K., “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 Transactions on Industrial Electronics, Vol.57, No.11, Nov. 2010, pp. 3707–3714. 63. P. P. Rajeevan, K. Sivakumar, R. Ramchand, , C. Patel, and K. Gopakumar, “A SevenLevel Inverter Topology for Induction Motor Drive Using Two-Level Inverters and Floating Capacitor Fed H-Bridges,” IEEE Transactions on Power Electronics, vol. 26, No. 6, Jun. 2011, pp. 1733 – 1740. 162 Modulation Schemes for Inverters 64. J. Holtz, “Pulse width modulation—A survey,” IEEE Transactions Industrial Electronics, vol. 39, no. 5, Dec. 1992, pp. 410–420. 65. J. Holtz, “Pulse width modulation for electronic power conversion,” Proc. IEEE, Vol. 82, No.8, Aug. 1994, pp. 1194–1214. 66. M. P. Kazmierkowski, and L. Malesani: “Current control techniques for three-phase voltage-source PWM converters: a survey,” IEEE Transactions Industrial Electronics, Vol. 45, No. 5, Oct. 1998, pp. 691–703. 67. D. G. Holmes and T. A. Lipo, Pulse Width Modulation for Power Converters IEEE / WileyInterscience, 2003. [Book] 68. E. R. C. Da Silva, E. C. D. Santo and C. B. Jacobina, “Pulse Width Modulation Strategies,” IEEE Industrial Electronics Magazine, June 2011, pp.37-45. 69. G. Narayanan, V. T. Ranganathan “Triangle-Comparison Approach and Space Vector Approach to Pulsewidth modulation in Inverter fed Drives” eprints.iisc.ernet.in/3476/01/tcsv_fin.pdf Sinusoidal PWM 70. A. Schonung and H. Stemmler, “Static frequency changer with subharmonic control in conjunction with reversible variable speed AC drives” Brown Boveri, Rev., Vol.51, No. 8/9, Aug./Sept. 1964, pp. 555-577. 71. Zubek, Jacob Pittsburgh, Pa. Abbondanti, Alberto ; Norby, Craig J. “Pulsewidth Modulated Inverter Motor Drives with Improved Modulation” IEEE Transactions on Industry Applications, Vol.11, No. 6 Nov. 1975, pp. 695 – 703. 72. G. S. Buja and G. B. Indri, “Optimal pulsewidth modulation for feeding ac motors,” IEEE Transactions on Industry Applications, Vol. A1-13, No.1, Jan./Feb. 1977, pp. 38-44. 73. G. B. Kliman and A. B. Plunkett, “Development of a modulation strategy for a PWM inverter drive,” IEEE Transactions Industry Applications, Vol. A1-15, No.1, Jan./Feb. 1979, pp. 702-709. 74. J. M. D. Murphy and M. G. Egan, “A comparison of PWM strategies for inverter-fed induction motors,” IEEE Transactions on Industry Applications, May/June 1983, pp. 363369. 75. J. A. Houldsworth and D. A. Grant, ‘‘The use of harmonic distortion to increase the output voltage of a three-phase PWM inverter,’’ IEEE Transactions Industry Applications, Sept./Oct. 1984, Vol. IA-20, pp. 1224–1228. 163 76. V. Blasko, “Analysis of a hybrid PWM based on modified space-vector and trianglecomparison methods,” IEEE Transactions Industry Applications, Vol.33, No. 3, pp.756-764, May/June 1997. 77. A. M. Hava, R. J. Kerkman and T. A. Lipo, "Simple analytical and graphical methods for carrier-based PWM-VSI drives", IEEE Trans. PE, Vol. PE-14(1), 1999, pp. 49-61. 78. G. Carrara, S. Gardella, M. Marchesoni, R. Salutari, and G. Sciutto, “A new multilevel PWM method: A theoretical analysis,” IEEE Transactions on Power Electronics, vol. 7, no. 3, July 1992, pp. 497–505. 79. J. K. Steinke, “Switching Frequency Optimal PWM Control of a Three-Level Inverter,” IEEE Transactions on Power Electronics, vol. 7, no. 3, July 1992, pp. 487–496. 80. B.P. McGrath, and D.G. Holmes, “Multicarrier PWM strategies for multilevel inverters,” IEEE Transactions on Industrial Electronics, Volume: 49, No. 4, Aug. 2002, pp. 858 – 867. 81. P. W. Hammond, “A new approach to enhance power quality for medium voltage AC drives,” IEEE Transactions on Industry Applications, vol. 33, no. 1, Jan./Feb. 1997, pp. 202–208. SVPWM 82. H. W. Van Der Broeck, H.-C. Skudenly, and G. V. Stanke, “Analysis and realization of a pulse width modulator based on voltage space vectors,” IEEE Transactions Industry Applications, vol. 24, no. 1, pp. 142–150, Jan./ Feb. 1988. 83. J. Holtz, P. Lammert, and W. Lotzkat, “High-speed drive system with ultrasonic MOSFET PWM inverter and single-chip microprocessor control,” IEEE Transactions Industry Applications, vol. IA-23, pp. 1010–1015, Nov./Dec. 1987. 84. O. Ogasawara, H. Akagi, and A. Nabae, “A novel PWM scheme of voltage source inverters based on space vector theory,” EPE European Conf. Power Electron, Appl., Aachen, Germany, 1989, pp. 1197-1202. 85. V. T. Ranganathan, “Space Vector pulse width modulation-A status review”, Sadhana, Vol.22, part 6, Dec. 1997, pp. 675 – 688. 86. D. O. Neacsu, “Space Vector Modulation – An Introduction,” in Proceedings of Annual Conference of the IEEE Industrial Electronics Society2001, pp. 1583 – 1592. 87. D.G. Holmes, "The significance of zero space vector placement for carrier-based PWM schemes", IEEE Transactions on Industry Applications, Vol. 32, Issue: 5, Sept.-Oct. 1996, pp.1122 – 1129. 88. J. Holtz, W. Lotzkat, A.M. Khambadkone, “On continuous control of PWM inverters in the overmodulation range including the six-step mode”, IEEE Transactions on Power Electronics, Vol. 8, Issue: 4, Oct. 1993, pp.546 – 553. 164 89. Keliang Zhou and Danwei Wang, “Relationship Between Space-Vector Modulation and Three-Phase Carrier-Based PWM: A Comprehensive Analysis”, IEEE Transactions on Industrial Electronics, vol.49, No.1, February 2002, pp 186 – 196. 90. Liu H.L., Choi N.S., and Cho G.H., “DSP based space vector PWM for three-level inverter with DC-link voltage balancing”, International Conference on Industrial Electronics, Control and Instrumentation pp.197 – 203, 1991. 91. Hyo L. Liu and Gyu H. Cho, “Three-Level Space Vector PWM in Low Index Modulation Region Avoiding Narrow Pulse Problem”, IEEE Transactions on Power Electronics, Vol. 9, No.5, Sep.1994, pp. 481 – 486. 92. Hyo L. Liu, Gyu H. Cho and Sun S. Park, “Optimal PWM Design for High Power ThreeLevel Inverter Through Comparative Studies,” Transactions on Power Electronics, Vol. 10, No. 1, Jan. 1995, pp. 38–47. 93. Y-H Lee, B-S Suh and D-S Hyum, “ A Novel PWM Scheme for a Three-Level Voltage Source Inverter with GTO Thyristor” IEEE Transactions on Industry Applications, Vol. 32, No. 2, March/April 1996, pp. 260–268. 94. P.F. Seixas, M.A. Severo Mendes, P. Donoso Garcia, and A.M.N. Lima, “A space-vector PWM method for three-level voltage source inverters,” in Proc. IEEE APEC, 2000, Vol. 1, pp. 549–555. 95. Abdul Rahiman Beig, G. Narayanan and V. T. Ranganathan “Modified SVPWM Algorithm for Three Level VSI with Synchronized and Symmetrical Waveforms” IEEE Transactions on Industrial Electronics, Vol. 54, No. 1, Feb. 2007 pp. 486–494. 96. N. Celanovic, and D. Boroyevich, “A fast space vector modulation algorithm for multilevel three phase converters,” IEEE Trans on Industry Applications, Vol.37, No.2, 2001, pp. 637– 641. 97. Sanmin Wei, Bin Wu, Fahai Li and Congwei Liu, “A General Space Vector PWM Control Algorithm for Multilevel Inverters,” Proc. Applied Power Electronics Conference and Exposition, 2003, APEC'03, pp. 562–568. 98. Wenxi Yao, Haibing Hu, and Zhengyu Lu, “Comparisons of Space-Vector Modulation and Carrier-Based Modulation of Multilevel Inverter,” IEEE Transactions on Power Electronics, Vol. 23, No. 1, January 2008, pp. 45 – 51. 99. N.V. Nho and M.-J. Youn “Comprehensive study on space-vector-PWM and carrier-basedPWM correlation in multilevel invertors” IEE Proc.-Electr. Power Appl., Vol. 153, No. 1, January 2006, pp.149–158. 165 100. Jae Hyeong Seo, Chang Ho Choi and Dong Seo Hyun, “A New Simplified Space-Vector PWM Method for Three- Level Inverters,” IEEE Transactions on Power Electronics, Vol. 16, No.4, July 2001, pp. 545–550. 101. Amit Kumar Gupta and Ashwin M. Khambadkone “A Space Vector PWM Scheme for Multilevel Inverters based on Two-level Space Vector PWM,” IEEE Transactions on Industrial Electronics, Vol. 53, No. 5, Oct. 2006, pp. 1631 – 1639. 102. Amit Kumar Gupta and Ashwin M. Khambadkone “A General Space Vector PWM Algorithm for Multilevel Inverters, Including Operation in Overmodulation Range” IEEE Transactions on Power Electronics, Vol. 22, No.2, March 2007, pp 517–526. 103. A.S. Aneesh Mohammed, Aneesh Gopinath and M.R. Baiju, “A Simple Space Vector PWM Generation Scheme for any General n-Level Inverter,” IEEE Transactions on Industrial Electronics, Vol. 56, No. 5, May 2009, pp. 1649 – 1656. 104. Gopinath, A. Mohamed A. S., and M. R. Baiju, “Fractal based space vector PWM for multilevel inverters—A novel approach,” IEEE Transactions on Industrial Electronics, Vol. 56, No. 4, Apr. 2009, pp. 1230–1237. 105. A. von Jouanne, S.Dai, H. Zhang, “A multilevel inverter approach providing DC-link balancing, ride-through enhancement, and common-mode voltage elimination” IEEE Transactions on Industrial Electronics, Vol. 49 , No. 4, Aug. 2002 , pp. 739 – 745 106. A. Lewicki, Z. Krzeminski, and H. Abu-Rub, “Space-Vector Pulsewidth Modulation for Three-Level NPC Converter With the Neutral Point Voltage Control,” IEEE Transactions on Industrial Electronics, Vol. 58, No.11, Nov. 2011, pp. 5076 – 5086. Effects of Harmonic in ASD 107. J. A. Oliver and B. B. Banerjee, “Power measurement and harmonic analysis of large adjustable speed drives,” IEEE Transactions on Energy Conversion, Vol. 3, No. 2, June 1988, pp. 384–390. 108. J.T. Boys and P.G. Handley, “Harmonic analysis of space vector modulated PWM waveforms,” IEE Proceedigs-B, Vol. 137, No. 4, July 1990, pp. 197–204. 109. F. Colodro and A. Torralba “Spectral Analysis of Pulsewidth-Modulated Sampled Signals” IEEE Transactions on Circuits and Systems—II: Express Briefs, Vol. 57, No. 8, Aug. 2010, pp.622– 626. 110. R. P. Stratford, “Harmonic pollution on power systems-A change in philosophy,” IEEE Transactions on Industry Applications, Vol. IA-16, No. 5, Oct. 1980, pp. 617–623. 166 111. Erkuan Zhong, and Thomas A. Lipo “Improvements in EMC Performance of Inverter- Fed Motor Drives” IEEE Transactions on Industry Applications, Vol. 31, No. 6, Nov./Dec. 1995, pp. 1247– 1256. 112. Huibin Zhu, Jih-Sheng Lai, Allen R. Hefner, Jr., Yuqing Tang, and Chingchi Chen, “Modeling-Based Examination of Conducted EMI Emissions From Hard- and SoftSwitching PWM Inverters” IEEE Transactions on Industry Applications, Vol. 37, No. 5, Sept./Oct. 2001, pp. 1383– 1393. 113. Jih-Sheng Lai, Xudong Huang, Shaotang Chen, and Thomas W. Nehl, “EMI Characterization and Simulation With Parasitic Models for a Low-Voltage High-Current AC Motor Drive” IEEE Transactions on Industry Applications, Vol. 40, No. 1, Jan./Feb. 2004, pp.178 – 185. 114. IEEE Recommended Practices and Requirements for Harmonic Control in Electrical Power Systems, IEEE Standard 519, 1992. 115. Wang, C., Astfalck, A., and Lai, J.C.S.: “Sound power radiated from an inverter-driven induction motor: experimental investigation,” IEE Proceedings - Electric Power Applications, Vol. 149 , No. 1, Jan. 2002 , pp. 46 – 52. Random PWM 116. A.M. Trzynadlowski, S. Legowski, and R.L. Kirlin, “Random pulse-width modulation technique for voltage-controlled power inverters”, in Conf. Rec. IEEE- Industry Application Society Annual Meeting, Oct. 1987, pp. 863–868 117. T. G. Habetler and D.M. Divan, “Acoustic noise reduction in sinusoidal PWM drives using a randomly modulated carrier,” IEEE Transactions on Power Electronics, Vol. 6, No.3, July 1991, pp. 356–363. 118. Andrzej M. Trzynadlowski, Frede Blaabjerg, Stanislaw Legowski, “Random Pulse Width Modulation Techniques for Converter-Fed Drive System – A Review,” IEEE Trans on Industry Applications, Vol. 30, No. 5, Oct. 1994, pp. 1166–1175. 119. S. Y. R. Hui, S. Sathiakumar, and K.K. Sung, “Novel random PWM schemes with weighted switching decision”, IEEE Transactions on Power Electronics, Vol. 12, No.6, Nov. 1997, pp. 945–952. 120. Stanislaw Legowski and Andrzej M. Trzynadlowski “Advanced Random Pulse Width Modulation Technique for Voltage-Controlled Inverter Drive Systems” Electronics Conference and Exposition, 1991. APEC '91, pp. 100 – 106. 167 Applied Power 121. J.T. Boys and P.G. Handley, “Spread spectrum switching: low noise modulation technique for PWM inverter drives,” IEE Proceedigs-B, Vol. 139, No. 3, May 1992, pp. 252– 260. 122. Bolognani S., Conton R., and Zigliotto M., “Experimental analysis of the EMI reduction in PWM inverters using random space vector modulation”, Proceedings of the IEEE International Symposium on Industrial Electronics, ISIE 1996, Vol.1, pp. 482– 487. 123. A. M. Trzynadlowski, M. Zigliotto, and M. M. Bech, “Reduction of the electromagnetic interference conducted to mains in inverter-fed ac drives using random pulse-width modulation,” Proc. IEEE Industry Applications Soc. Annu. Meeting, 1998, pp. 739–744. 124. Zigliotto M., and Trzynadlowski AM, “Effective random space vector modulation for EMI reduction in low-cost PWM inverters”, Proc. of Seventh International Conference on Power Electronics and Variable Speed Drives1998, pp.163-168. 125. Andrzej M. Trzynadlowski, R. Lynn Kirlin, and Stanislaw F. Legowski “Space Vector PWM Technique with Minimum Switching Losses and a Variable Pulse Rate” IEEE Transactions on Industrial Electronics, Vol. 44, No. 2, April 1997, pp.173 – 181. 126. Bin Huo; Trzynadlowski, A.M.; Panahi, I.; Mohammed, A.; Zhenyu Yu; “Novel random pulse width modulator with constant sampling frequency based on the TMS320F240 DSP controller”, Proceedings of Industrial Electronics Society, 1999. IECON '99. 127. Liaw CM, and Lin YM, Wu CH, and Hwu KI, “Analysis, design, and implementation of a random frequency PWM inverter”, IEEE Transactions on Power Electronics, Vol. 15, No.5, 2000, pp. 843-854. 128. Kim J.G., Jung Y.G., Na S.H., and Lim Y.C., “A new random PWM (SRP-PWM) technique for decreasing acoustic noise radiated from v/f controlled motor drives”, Proc. of 30th Annual Conference of IEEE Industrial Electronics Society IECON, vol. 1 pp. 832-837, 2004. 129. Trzynadlowski, A.M.; Bech, M.M.; Blaabjerg, F.; Pedersen, J.K.; Kirlin, R.L.; Zigliotto, M.; “Optimization of switching frequencies in the limited-pool random space vector PWM strategy for inverter-fed drives,” IEEE Transactions on Power Electronics, Vol.16, No.6, Nov.2001,pp. 852-857. 130. Almarri, K.A.; Balda, J.C.; Carr, K “Optimized selection of the random PWM switching frequencies in a limited pool” APEC 2000, vol.1, pp. 569 – 573, 131. A. Ruiz-González, M. J. Meco-Gutiérrez, F. Pérez-Hidalgo,F. Vargas-Merino, and J. R. Heredia-Larrubia, “Reducing Acoustic Noise Radiated by Inverter-Fed Induction Motors Controlled by a New PWM Strategy,” IEEE Transactions on Industrial Electronics, vol. 57, No.1, Jan. 2010, pp 228 – 236. 168 132. R. Lynn Kirlin, Sam Kwok, S. Legowski and Andrzej M. Trzynadlowski, “Power Spectrum of a PWM Inverter with Randomized Pulse Position,” IEEE Transactions on Power Electronics, vol. 9, No.5, Sept. 1994, pp. 463–472. 133. Bor-Ren Lin; Hsin-Hung Lu; “Implementation of nondeterministic PWM for inverter drives” Proceedings of the IEEE International Symposium on Industrial Electronics ISIE '99,1999, Vol. 2, pp. 813 – 818. 134. M. M. Bech, F. Blaabjerg, and J. K. Pedersen, “Random modulation techniques with fixed switching frequency for three phase power converters,” IEEE Trans. Power Electronics, vol. 15, 2000, pp 753 – 761. 135. Na, S.-H.; Jung, Y.-G.; Lim, Y.-C.; Yang, S.-H.; “Reduction of audible switching noise in induction motor drives using random position space vector PWM,” IEE Proceedings Electric Power Applications, Volume: 149 , No. 3, 2002 , pp. 195 – 200. 136. Yen-Shin Lai, “Random switching technique for inverter control”, IEEE Electronics Letters, Vol.33, No.9, 1997, pp. 747 – 749. 137. Yen-Shin Lai, “New random technique of inverter control for common mode voltage reduction of inverter fed induction motor drives”, IEEE Transactions on Energy Conversion, Vol.14, No. 4, 1999, pp. 1139-1146. 138. Yen-Shin Lai and Chang SC, “DSP-based implementation of new random switching technique of inverter control for sensorless vector-controlled induction motor drives”, IEE Proceedings on Electric Power Applications, Vol. 146, No.2, 1999, pp. 163– 172. 139. Blasko V, “Analysis of a hybrid PWM based on modified space-vector and triangle- comparison methods,” IEEE Transactions on Industrial Application, Vol.33, No. 3, May/Jun. 1997, pp.756 – 764. 140. S. Y. Oh, Y. G. Jung, S. H. Yang, and Y. C. Lim, “Harmonic-spectrum spreading effects of two-phase random centered distribution PWM (DZRCD) scheme with dual zero vectors,” IEEE Transactions on Industrial Electronics, vol. 56, no. 8, Aug. 2009, pp. 3013–3020. 141. Trzynadlowski, A.M. Borisov K., Yuan Li, Ling Qin, “A novel random PWM technique with low computational overhead and constant sampling frequency for high-volume, lowcost applications”, IEEE Transactions on Power Electronics, Vol. 20, No. 1, 2005, pp. 116122. 142. Ki-Seon Kim, Young-Gook Jung, and Young-Cheol Lim, “A New Hybrid Random PWM Scheme,” IEEE Transactions on Power Electronics. vol. 24, issue 1, 2009, pp. 192200. 169 143. R. Lynn Kirlin, Cristian Lascu, and Andrzej M. Trzynadlowski, “Shaping the noise spectrum in Power Electronic Converters,” IEEE Transactions on Industrial Electronics, Vol. 58, No.7, July 2011, pp 2780 – 2788. 144. L. Mathe, F. Lunguanu, P. O. Ramuseen, John K. Pedersen, “Spread spectrum modulation by using Asymmetric Carrier Random PWM” IEEE Transactions on Industrial Electronics, Vol. 59, No.10, Oct. 2012, pp 3710 – 3718. Three – level random PWM schemes 145. Y. Shrivastava, S.Y. Hui, “Analysis of random PWM switching methods for three-level power inverters”, IEEE Transactions on Power Electronics, Volume 14, Issue 6, Nov. 1999, pp.1156 – 1163. 146. C.K. Lee, S.Y.R. Hui, and H.S.H. Chung, “A randomized voltage vector switching scheme for Three-level power inverters”, PESC, vol. 1, June 2000, pp. 27-32. 147. C.K. Lee, S.Y.R. Hui, H.S.H. Chung, and Y. Shrivastava, “A randomized voltage vector switching scheme for Three-level power inverters”, IEEE Transactions on Power Electronics, Vol. 17, No. 1, Jan. 2002, pp. 94 – 100. 148. A. S. de oliveira, E. R. da Silva, C. B. Jacobina, A. M. N. Lima, “Random Space Vector Modulation for 3-Level Power inverters and Induction Motor Drives Current Control”, PESC 2005, pp. 987 – 993. 149. D. S. George and M. R. Baiju, “Decoupled random modulation technique for an open- end winding induction motor based 3-level inverter,” in Proc. ISIEA, Oct. 2009, pp. 1022– 1027. 150. K. K. Tse, Henry Shu-hung Chung, S. Y. R. Hui, and H. C. So, “A Comparative Investigation on the Use of Random Modulation Schemes for DC/DC Converters”, IEEE Transactions on Industrial Electronics, Vol. 47, No. 2, April 2000, pp. 253-263. 151. Victor Adrian, Joseph S. Chang, and Bah-Hwee Gwee, “A randomized wrapped-around Pulse Position Modulation Scheme for DC-DC converters,” IEEE Transactions on Circuits and Systems, Vol. 57, No.9, Sept. 2010, pp. 2320-2333. 152. Kaboli, S.; Mahdavi, J.; Agah, A.; “Application of Random PWM Technique for Reducing the Conducted Electromagnetic Emissions in Active Filters”, IEEE Transactions on Industrial Electronics, Volume 54, Issue 4, Aug. 2007, pp.2333 – 2343. 170 Sigma Delta Modulated Inverters 153. A. Boehringer and F. Brugger, “Transformatorlose transistor- pulsum-richter mit ausgangsleistungen bis 50 kva,” E&M, vol. 96, no.12, 1979, pp. 538–545. 154. P. D. Ziogas, “The delta modulation technique in static PWM inverters,” IEEE Trans. Ind. Appl., vol. IA-17, no. 2, Mar./Apr. 1981, pp. 199-204. 155. T. G. Habetler and D. M. Divan, “Performance Characterization of a New Discrete Pulse-Modulated Current Regulator” IEEE Trans on Industry Applications, Vol. 25, No. 6, Nov./Dec.1989, pp. 1139 –1148. 156. G. Venkataramanan, D. Divan, and T. M. Jahns, “Discrete pulse modulation strategies for high-frequency inverter systems,” in Proc. Power Electronics Specialists Conf., Jun. 1989, pp. 1013–1020. 157. G. Venkataramanan, D. Divan, and T. M. Jahns, “Discrete pulse modulation strategies for high-frequency inverter systems,” in Proc. Power Electronics Specialists Conf., Jun. 1989, pp. 1013–1020. IEEE Transactions on Power Electronics, Vol. 8, No. 3, July 1993 pp. 279-287. 158. M. H. Kheraluwala and D. M. Divan , “Delta modulation strategies for resonant link inverters”, IEEE Transactions on Power Electronics, Vol.5, No.2, April 1990, pp. 220 – 228. 159. A. Mertens and H.-Ch. Skudelny, “Calculations on the spectral performance of discrete pulse modulation strategies,” Proc. Power Electronics Specialists Conference, 1991, PESC '91, pp. 357 - 365. 160. S. J. Fenney, T. C. Green and B. W. Williams, “Spectral Characteristics of Resonant- Link Inverters,” IEEE Transactions on Power Electronics, Vol.8, No.4, Oct. 1993, pp. 562 – 570. 161. T. C. Green and B. W. Williams, “Spectra of Delta-Sigma Modulated Inverters: An Analytical Treatment,” IEEE Transactions on Power Electronics, Vol.7, No.4, Oct. 1992, pp. 664 – 654. 162. A. Mertens, “Performance analysis of three-phase inverters controlled by synchronous delta-modulation systems,” IEEE Transactions on Industry Applications, Vol. 30, No.4, Aug. 1994, pp. 1016 – 1027. 163. for Glen Luckjiff, Ian Dobson and Deepak Diwan: “Interpolative Sigma Delta Modulators High frequency Power Electronics Applications,” Proc. of Power Electronics Specialists Conference, PESC ‘95, vol.1, pp 444 - 449. 164. Glen Luckjiff and Ian Dobson, “Power spectrum of a sigma-delta modulator with hexagonal vector quantization and constant input” Proc. IEEE International Symposium on Circuits and Systems, 1999. ISCAS '99, pp. 270 – 273. 171 165. Robert Cuzner, Jeffry Abel and Glen Luckjiff, “Evaluation of Actively Clamped Resonant Link Inverter for Low Output Harmonic Distortion, High Power Density Power Converters”, IEEE Transactions on Industry Applications, Vol. 37, No.3, 2001, pp. 847 – 855. 166. Glen Luckjiff and Ian Dobson: “Hexagonal Sigma Delta Modulation,” IEEE Transactions on Circuits and System I, Vol. 50, No.8, Sep. 2003, pp. 991 – 1005. 167. Glen Luckjiff and Ian Dobson: “Hexagonal Σ∆ modulators in Power Electronics,” IEEE Transactions on Power Electronics, Vol. 20, No.5, Sep. 2005, pp.1075 – 1083 . 168. J. Nieznanski , “ Analytical Establishment of the Minimum Distortion Pulse Density Modulation,” Electrical Engineering 80 (1997), pp 251-258. 169. J. Nieznanski, “Performance Characterization of Vector Sigma-Delta Modulation,” Proc. of Conference of the Industrial Electronics Society IECON '98, pp. 531-536. 170. J. Nieznanski, A. Wojewodka and P.J. Chrzan , “Comparison of Vector Sigma-Delta Modulation and Space-Vector PWM,” Conference of the Industrial Electronics Society IECON 2000 Vol. 2, pp.1322 - 1327. 171. A. Hirota, S. Nagai and M. Nakaoka, “Performance Evaluations of Delta-Sigma Modulated Voltage Source Inverter” IEEE International Conference on Power Electronics and Drive Systems, PEDS'99, July 1999 172. A. Hirota, S. Nagai and M. Nakaoka, “A Novel Delta-Sigma Modulated Space Vector Modulation Scheme using Scalar Delta-Sigma Modulator,” Proc. Specialists Conference, 2003, 173. Power Electronics PESC ‘03, vol.2, pp 485 – 489. A. Hirota, S. Nagai and M. Nakaoka, “A Simple Configuration Reducing Noise Level Three-Phase Sinewave Inverter Employing Delta-Sigma Modulation Scheme,” Proc. Applied Power Electronics Conference and Exposition, 2006, APEC'06. pp1485- 1489. 174. A. Hirota, B. Saha, S-P. Mun and M. Nakaoka, “An Advanced Simple Configuration Delta-Sigma Modulation Three-Phase Inverter Implementing Space Voltage Vector Approach,” Proc. Power Electronics Specialists Conference, 2007, PESC 2007, pp 453 – 457. 175. Biji Jacob and M.R. Baiju, “ Spread Spectrum Scheme for Two-Level Inverters using Space Vector Sigma-Delta Modulation,” IET International Conference on Power Electronics, Machines and Drives, PEMD 2010. 176. Biji Jacob and M.R. Baiju, “Spread Spectrum Modulation Scheme for Two Level Inverter using Vector Quantized Space Vector based Pulse Density Modulation” IET journal on Electric Power Applications, Vol. 5, Iss.7, pp. 589-596. 172 177. C. H. Bae, Joon Hyoung Ryu and Kwang Won Lee, “Suppression of Harmonic Spikes in Switching Converter Output Using Dithered Sigma–Delta Modulation,” Proc. Industry Applications Conference, 2001, Vol.4, pp. 2167 - 2174. 178. C. H. Bae, Joon Hyoung Ryu and Kwang Won Lee, “Suppression of Harmonic Spikes in Switching Converter Output Using Dithered Sigma–Delta Modulation,” IEEE Trans. Industrial Applications, vol. 38, no. 1, Jan./Feb. 2002, pp. 159 – 166. 179. S.S. Singh, F. Li, C. Garrett, R. Thomas “A study of sigma–delta modulation control strategies for multi-level voltage source inverters,” Proceeding of IEEE power electronics and variable speed drives, 1998. 180. S. Dai, A. Jouanne, A. Wallace, and G. C. Temes “Delta-Sigma Modulation Applications in Neutral-Point Clamped Inverters” Proc. of Industry Applications Conference, 2003, Vol.1, pp. 678 - 683. 181. Carlos Sánchez Díaz, Fernando Ibañez Escobar, Gerardo Ceglia Diotaiuti, Victor Manuel Guzman Arguis “Adaptive Sigma-Delta Modulator Applied to Control a Five Level Multilevel Inverter,” Proc. of International Caracas Conference on Devices, Circuits and Systems, 2004. 182. Gerardo Ceglia, Víctor Guzmán, Carlos Sánchez, Fernando Ibáñez, Julio Walter, and María I. Giménez, “A New Simplified Multilevel Inverter Topology for DC–AC Conversion,” IEEE Transactions on Power Electronics, Vol. 21, No. 5, Sept. 2006, pp. 1311-1319. 183. Jingsheng Liao and Mehdi Ferdowsi, “An Improved Cascaded H-Bridge Multilevel Inverter Controlled by an Unbalanced Voltage Level Sigma-Delta Modulator,” Vehicle Power and Propulsion Conference (VPPC), Sept. 2008. 184. Biji Jacob and M.R. Baiju, “ Spread Spectrum Scheme for Three-Level Inverters based on Space Vector Sigma-Delta Modulation,” IEEE International Symposium on Industrial Electronics, ISIE 2010, July 2010, pp.1491-1496 185. Biji Jacob and M.R. Baiju, “Space Vector based Spread Spectrum Modulation Scheme for Three-Level Inverters,” IEEE Applied Power Electronics Colloquium, IAPEC 2011, April 2011, pp. 51-56. 186. Biji Jacob and M.R. Baiju, “Vector Quantized Spread Spectrum Pulse Density Modulation for Four Level Inverters,” IEEE Conference on Industrial Electronics and Applications, ICIEA 2011, June 2011, pp. 668-673. 187. Biji Jacob and M.R. Baiju, “Spread Spectrum Modulation Scheme for Multilevel Inverters using Vector Quantized Sigma Delta Modulation,” Applied Power Electronics Conference -APEC 2012, Feb. 2012, pp. 2428 – 2435. 173 188. Biji Jacob and M.R. Baiju, “ Simple Multilevel Inverter based Induction Motor Drive scheme using Sigma Delta Converter with Space Vector Quantizer” IET journal on Power Electronics, Vol. 5, No. 8, 2012, pp. 1483-1490. 189. Biji Jacob and M.R. Baiju, “Vector Quantized Space Vector based Spread Spectrum Modulation Scheme for Multilevel Inverters using the principle of Oversampling” IEEE Transactions on Industrial Electronics, Vol. PP, No. 99, 2012 190. Jeyanandh Paramesh, and Annette von Jouanne “Use of sigma-delta modulation to control EMI from switch-mode power supplies” IEEE Transactions on Industrial Electronics, Vol. 48, No. 1, Feb. 2001, pp. 111 – 117. 191. A. Hirota, S. Nagai and M. Nakaoka, “A Novel Delta-Sigma Modulated DC-DC Power Converter utilizing Dither Signal” in Proc. Power Electronics Specialists Conference, 2000, PESC 00, vol.2, pp. 831 - 836. 192. A. Hirota, S. Nagai and M. Nakaoka, “A Simple Configured Reducing Noise Peak DC- DC Converter Introducing Delta-Sigma Modulation Circuit” in Proc. Applied Power Electronics Conference and Exposition, 2005, APEC 2005, Vol. 3, pp. 1515 - 1519. 193. A. Hirota, S. K. Kwon and M. Nakaoka, “A Low Noise Peak Delta-Sigma Modulated DC-DC Converter with Utility Frequency AC Rectified Voltage Source” in Proc. Applied Power Electronics Conference and Exposition, 2009, pp. 1384 - 1389. 194. C. Sánchez, F. Ib´ñez, M. Alcañiz, J. Polo, and R. Masot, “Analysis of Sigma–Delta modulation techniques in low frequency DC–AC converters,” in Proc. Power Electronics Specialists Conference, Jun. 2003, PESC’03, pp. 507–512. 195. S. Nagai, Y. Yunoki, A. Hirota and M. Nakaoka, “A Novel Full Bridge Type Novel Delta-Sigma Modulated Power Factor Correction Converter Applying Pulse Space Modulation Technique” Proc. IEEE International Symposium on Industrial Electronics, 2001, ISIE 2001, Vol.2, pp. 1077 - 1082. 196. A. Hirota, S. Nagai and M. Nakaoka, “Analysis of Single Switch Delta-Sigma Modulated Pulse Space Modulation PFC Converter Effectively Using Switching Power Device” in Proc. Power Electronics Specialists Conference, 2002, Vol.2, pp. 682 - 686. 197. A. Hirota, S. Nagai and M. Nakaoka, “A Novel Delta-sigma Modulated Single Phase PFC Converter Employing Current Rise Assisting Circuit” in Proc. Power Electronics and Drives Systems Conference, 2005, pp. 816 – 821. 198. A. Hirota, S. Nagai and M. Nakaoka, “Suppressing Noise Peak Single Phase to Three Phase Ac-ac Direct Converter Introducing Delta sigma Modulation Technique” in Proc. Power Electronics Specialists Conference, 2008, pp. 3320 - 3323. 174 Signal Processing 199. Max W. Hauser, “Principles of Oversampling A/D Conversion,” Journal Audio Engineering Society, Vol. 39, No. 1/2, January/February 1991, pp. 3-26. 200. F. de Jager, "Delta Modulation: A Method of PCM Transmission Using the One Unit Code," Phillips Research Reports, Vol. 7, 1952, pp. 542-546. 201. H. Inose and Y. Yasuda. “A unity bit encoding method by negative feedback,” In Proceeding of IEEE, vol. 51, No. 11, 1963. pp. 1524–35. 202. R. M. Gray. “Oversampled Sigma-Delta Modulation,” IEEE Transactions on Communication, Vol.35, No. 5, May 1987, pp. 481 – 489. 203. G.C. Temes and J.C.Candy, “A tutorial discussion of the oversampling method for AD and DA conversion” IEEE International Symposium on Circuits and Systems, 1990, vol.2, pp. 910 – 913. 204. J. C. Candy and G. C. Temes, “Oversampling methods for Data Conversion” Proc. of Pacific Rim Conference on Communications, Computers and Signal Processing, May 1991. 205. V. Friedman, “Oversampled Data Conversion Techniques,” IEEE Circuits & Devices Magazine, Nov. 1990, pp. 39 – 45. 206. J. C. Candy and G. C. Temes, “Oversampling methods for A/D and D/A conversion in Oversampling Delta – Sigma Data Converters, Theory, Design and Simulation,” (IEEE Press New York, 1992). 207. Pervez M. Aziz, Henrik V. Sorensen, and Jan Van der Spiegel: “An Overview of Sigma- Delta Convertors,” IEEE Signal Processing Magazine, Volume 13, Issue 1, September 1996, pp 61– 84. 208. R.W. Stewart and E. Pfann, “Oversampling and sigma-delta strategies for data conversion” IEEE Electronics & Communication Engineering Journal Feb. 1998, Vol.10, No. 1, pp. 37 – 47. 209. Richard Schreier and Gabor C. Temes, “Understanding delta-sigma data converters” IEEE Press - A John Wiley & Sons, Inc., Publication 2005. [BOOK] 210. José M. de la Rosa, “Sigma-Delta Modulators: Tutorial Overview, Design Guide, and State-of-the-Art Survey,” IEEE Transactions on Circuits and Systems-I, Vol. 58, No. 1, Jan. 2011, pp. 1 – 21. 211. R. M. Gray, “Quantization Noise Spectra,” IEEE Transactions on Information Theory, Vol. 36, No. 6, Nov. 1990, pp. 1220–1244. 212. R. M. Gray, “Spectral analysis of quantization noise in single-loop sigma-delta modulation with dc inputs,” IEEE Transactions on Communication, Jun. 1989, pp. 588–599. 175 213. R. M. Gray, W. Chou, and P. W. Wong, “Quantization noise in a single-loop sigma-delta modulation with sinusoidal inputs,” IEEE Transactions on Communication, vol.37, no. 9, Sep. 1989, pp. 956–968. 214. Wu Chou and R. M. Gray, “Dithering and Its Effects on Sigma-Delta and Multistage Sigma-Delta Modulation,” IEEE Transactions on Information Theory, Vol. 37, No. 3, May 1991, pp. 500 – 513. 215. H. Hsieh and C-L (Leon) Lin, “Spectral Shaping of Dithered Quantization Errors in Sigma–Delta Modulators,” IEEE Transactions on Circuits and Systems-I, Vol. 54, No. 5, May 2007, pp. 974 – 980. 216. S. Pamarti, J. Welz, and I. Galton, “Statistics of the Quantization Noise in 1-Bit Dithered Single-Quantizer Digital Delta–Sigma Modulators,” IEEE Transactions on Circuits and Systems-I, Vol. 54, No. 3, March 2007, pp. 492 – 503. 217. A. Gersho, “On the Structure of Vector Quantizer,” IEEE Transactions on Information Theory, IT-28, No. 2,(March1982), pp.157 –166. 218. R. M. Gray, “Vector Quantisation,” IEEE ASSP Magazine, April 1984, pp 4–28. 219. de Jong, Paul C.; Meijer, Gerard C.M.; “Dithering of First-Order Sigma-Delta Modulators” van Roermund, Arthur H.M. European Solid-State Circuits Conference, 1994. ESSCIRC '94, pp. 92 – 95. 220. C. Dunn and Mark Sandler, “A Comparison of Dithered and Chaotic Sigma-Delta Modulators,” Journal of Audio Engineering Society, Vol.44, No.4, 1996, pp. 224-227. 221. J. Yu, M.B. Sandler, R.E. Hawken, “Adaptive quantisation for one-bit sigma-delta modulation,” IEE Proceedings-G, Vol. 139, No. I, Feb. 1992, pp. 39 – 44. 222. Clemens M. Zierhofer, “Adaptive Sigma–Delta Modulation With One-Bit Quantization” IEEE Transactions On Circuits And Systems—II: Analog And Digital Signal Processing, Vol. 47, No. 5, May 2000, pp.408-415. 223. M. A. Aldajani and A. H. Sayed, “An Adaptive Structure for Sigma Delta Modulation with Improved Dynamic Range,” Proc. IEEE Midwest Symp. on Circuits and Systems, Lansing MI, Aug. 2000, pp. 390-394. 224. M. A. Aldajani and A. H. Sayed “SNR Performance of an Adaptive Sigma Delta Modulator ” International Symposium on Circuits and Systems, 2001, ISCAS 2001. Vol. 1, pp. 392 – 395. 225. Mansour A. Aldajani and Ali H. Sayed “ Stability Analysis of an Adaptive Structure for Sigma Delta Modulation ” International Conference on Electronics, Circuits and Systems, 2000, ICECS 2000, Vol.1, pp.129 - 132. 176