On the improved computational speed and convergence of the Newton Raphson iteration method for selective harmonics elimination PWM applied to cascaded multilevel inverter with equal and non‐equal DC sources

Purpose – This paper proposes an improved algorithm to compute selective harmonics elimination pulse width modulation (SHEPWM) angles, based on the Newton‐Raphson (NR) iteration for cascaded multilevel inverter (CMI).Design/methodology/approach – Newton Raphson (NR) is a very popular numerical method for transcendental equations that lack analytical solutions. It has been successfully used to compute the angles for selective harmonics elimination pulse width modulation (SHEPWM) schemes. Despite its effectiveness, NR has not been used for SHEPWM with cascaded multilevel inverter (CMI) structure with equal and non‐equal DC voltage sources. It is known that for CMI, inappropriate selection of initial angles causes long‐iteration time and possibly non‐convergence takes place. The computational difficulty is compounded by the fact that the SHEPWM switching angles need to be correctly sequenced, i.e. each angle must be assigned to the correct output voltage level of the CMI. In this work, an attempt is made to ...

[1]  J.R. Wells,et al.  Modulation-Based Harmonic Elimination , 2007, IEEE Transactions on Power Electronics.

[2]  L.M. Tolbert,et al.  Harmonic optimization of multilevel converters using genetic algorithms , 2004, IEEE Power Electronics Letters.

[3]  Fang Zheng Peng,et al.  Multilevel converters-a new breed of power converters , 1995, IAS '95. Conference Record of the 1995 IEEE Industry Applications Conference Thirtieth IAS Annual Meeting.

[4]  B. Mellitt,et al.  Novel algorithm for generating near optimal PWM waveforms for AC traction drives , 1986 .

[5]  Leopoldo García Franquelo,et al.  Selective Harmonic Mitigation Technique for High-Power Converters , 2010, IEEE Transactions on Industrial Electronics.

[6]  P.N. Enjeti,et al.  Programmed PWM techniques to eliminate harmonics - A critical evaluation , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[7]  Fang Zheng Peng,et al.  Multilevel inverters: a survey of topologies, controls, and applications , 2002, IEEE Trans. Ind. Electron..

[8]  R. Ray,et al.  Harmonics elimination in a multilevel inverter using the particle swarm optimisation technique , 2009 .

[9]  V. Agelidis,et al.  A Five-Level Symmetrically Defined Selective Harmonic Elimination PWM Strategy: Analysis and Experimental Validation , 2008, IEEE Transactions on Power Electronics.

[10]  L.M. Tolbert,et al.  Active harmonic elimination for multilevel converters , 2006, IEEE Transactions on Power Electronics.

[11]  Leon M. Tolbert,et al.  Multilevel converters for large electric drives , 1999 .

[12]  J. Aziz,et al.  A new pulse-width modulation (PWM) scheme for modular structured multilevel voltage source inverter , 2004 .

[13]  L.M. Tolbert,et al.  Novel multilevel inverter carrier-based PWM methods , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[14]  A. Schonung,et al.  Static Frequency Changers with "Subharmonic" Control in Conjunction with Reversible Variable-Speed A.C.Drives , 1964 .

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

[16]  Zhong Du,et al.  Elimination of harmonics in a multilevel converter using the theory of symmetric polynomials and resultants , 2005, IEEE Transactions on Control Systems Technology.

[17]  R. Hoft,et al.  Generalized Techniques of Harmonic Elimination and Voltage Control in Thyristor Inverters: Part II --- Voltage Control Techniques , 1974 .

[18]  Toshiji Kato,et al.  Sequential homotopy-based computation of multiple solutions for selected harmonic elimination in PWM inverters , 1999 .

[19]  Shiyan Hu,et al.  Harmonic elimination for constrained optimal PWM , 2004, 30th Annual Conference of IEEE Industrial Electronics Society, 2004. IECON 2004.

[20]  Zhong Du,et al.  Elimination of harmonics in a multilevel converter with nonequal DC sources , 2005, IEEE Transactions on Industry Applications.

[21]  T. H. Abdelhamid,et al.  Elimination of harmonics in multilevel inverters with non-equal DC sources using PSO , 2008, 2008 13th International Power Electronics and Motion Control Conference.

[22]  Z. Salam.  A simple on‐line harmonics elimination PWM algorithm for a three‐phase voltage source inverter based on quadratic curve fittings , 2010 .

[23]  Derrick Holliday,et al.  Optimal Regular-Sampled PWM Inverter Control Techniques , 2007, IEEE Transactions on Industrial Electronics.

[24]  R. Hoft,et al.  Inverter harmonic reduction using Walsh function harmonic elimination method , 1997 .

[25]  V. Agelidis,et al.  Selective Harmonic Elimination PWM Control for Cascaded Multilevel Voltage Source Converters: A Generalized Formula , 2008, IEEE Transactions on Power Electronics.

[26]  Richard G. Hoft,et al.  Generalized Techniques of Harmonic Elimination and Voltage Control in Thyristor Inverters: Part I--Harmonic Elimination , 1973 .