Elimination of Low Order Harmonics in Multilevel Inverters Using Genetic Algorithm

The selective harmonic elimination pulse width modulation (SHEPWM) switching strategy has been applied to multilevel inverters to remove low order harmonics. Naturally, the related equations do not have feasible solutions for some operating points associated with the modulation index (M). However, with these infeasible points, minimizing instead of eliminating harmonics is performed. Thus, harmful harmonics such as the 5 th harmonic still remains in the output waveform. Therefore, it is proposed in this paper to ignore solving the equation associated with the highest order harmonics. A reduction in the eliminated harmonics results in an increase in the degrees of freedom. As a result, the lower order harmonics are eliminated in more operating points. A 9-level inverter is chosen as a case study. The genetic algorithm (GA) for optimization purposes is used. Simulation results verify the proposed method.

[1]  Mariusz Malinowski,et al.  A Survey on Cascaded Multilevel Inverters , 2010, IEEE Transactions on Industrial Electronics.

[2]  Hokey Min,et al.  The spatial and temporal consolidation of returned products in a closed-loop supply chain network , 2006, Comput. Ind. Eng..

[3]  K. Gopakumar,et al.  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 , 2010, IEEE Transactions on Industrial Electronics.

[4]  Kashif Ishaque,et al.  Accurate MATLAB Simulink PV System Simulator Based on a Two-Diode Model , 2011 .

[5]  Tamer H. Abdelhamid,et al.  Selective harmonic elimination of new family of multilevel inverters using genetic algorithms , 2008 .

[6]  Bin Wu,et al.  Multilevel Voltage-Source-Converter Topologies for Industrial Medium-Voltage Drives , 2007, IEEE Transactions on Industrial Electronics.

[7]  V.G. Agelidis,et al.  VSC-Based HVDC Power Transmission Systems: An Overview , 2009, IEEE Transactions on Power Electronics.

[8]  Zbigniew Michalewicz,et al.  Evolutionary Algorithms for Constrained Parameter Optimization Problems , 1996, Evolutionary Computation.

[9]  Tian-Hua Liu,et al.  Optimum harmonic reduction with a wide range of modulation indexes for multilevel converters , 2002, IEEE Trans. Ind. Electron..

[10]  Abdollah Homaifar,et al.  Constrained Optimization Via Genetic Algorithms , 1994, Simul..

[11]  Xiaoli Du,et al.  A Generalized Half-Wave Symmetry SHE-PWM Formulation for Multilevel Voltage Inverters , 2010, IEEE Transactions on Industrial Electronics.

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

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

[14]  Pierluigi Siano,et al.  A Multilevel Inverter for Photovoltaic Systems With Fuzzy Logic Control , 2010, IEEE Transactions on Industrial Electronics.

[15]  Jafar Rezaei,et al.  A deterministic, multi-item inventory model with supplier selection and imperfect quality , 2008 .

[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.