Unified selective harmonic elimination for fundamental frequency modulated multilevel converter with unequal DC levels

In this paper, a unified SHE approach is proposed for the fundamental frequency modulated multilevel converters with unequal dc levels. Unlike the traditional SHE methods whose equations depend on the switching patterns, this approach unifies all the switching patterns into one group of equations and the inequality constraints on the switching angles are eliminated. In order to obtain all the possible switching angles and their corresponding switching patterns, a polynomial homotopy continuation (PHC) algorithm based method is proposed to solve this unified SHE equations. Experiments on an 11-level cascaded H-bridge (CHB) multilevel converter verify the correctness of this method.

[1]  J. Chiasson,et al.  Elimination of harmonics in a multilevel converter using the theory of symmetric polynomials and resultants , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[2]  Jin Wang,et al.  Unified Selective Harmonic Elimination for Multilevel Converters , 2017, IEEE Transactions on Power Electronics.

[3]  Ye Zhang,et al.  Selective Harmonic Compensation (SHC) PWM for Grid-Interfacing High-Power Converters , 2014 .

[4]  Yun Wei Li,et al.  Investigation and Suppression of Harmonics Interaction in High-Power PWM Current-Source Motor Drives , 2015, IEEE Transactions on Power Electronics.

[5]  Yun Wei Li,et al.  Virtual impedance based selective harmonic compensation (VI-SHC) PWM for current source rectifiers , 2012, 2012 IEEE Energy Conversion Congress and Exposition (ECCE).

[6]  J. Chiasson,et al.  The Use of Power Sums to Solve the Harmonic Elimination Equations for Multilevel Converters , 2005 .

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

[8]  Qi Zhang,et al.  Harmonic elimination for multilevel converter with Groebner bases and symmetric polynomials , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[9]  Kehu Yang,et al.  Parallel resultant elimination algorithm to solve the selective harmonic elimination problem , 2016 .

[10]  G. P. Adam,et al.  Grid Interfacing of Multimegawatt Photovoltaic Inverters , 2013, IEEE Transactions on Power Electronics.

[11]  Qi Zhang,et al.  Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials , 2016, IEEE Transactions on Power Electronics.

[12]  Jin Wang,et al.  Online Selective Harmonic Compensation and Power Generation With Distributed Energy Resources , 2014, IEEE Transactions on Power Electronics.

[13]  Jin Wang,et al.  A Groebner Bases Theory-Based Method for Selective Harmonic Elimination , 2015, IEEE Transactions on Power Electronics.

[14]  Zhong Du,et al.  A complete solution to the harmonic elimination problem , 2003, IEEE Transactions on Power Electronics.

[15]  Haider A. F. Almurib,et al.  SHE–PWM Cascaded Multilevel Inverter With Adjustable DC Voltage Levels Control for STATCOM Applications , 2014, IEEE Transactions on Power Electronics.

[16]  Zhong Du,et al.  A unified approach to solving the harmonic elimination equations in multilevel converters , 2004, IEEE Transactions on Power Electronics.

[17]  Zhong Du,et al.  Control of a multilevel converter using resultant theory , 2003, IEEE Trans. Control. Syst. Technol..

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