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D. R. Anderson, D. J. Sweeny and T. A. Williams, “Introduction to Management Science, Quantitative Approach to Decision Making,” Chapter 8, Integer Linear Programming, West Publishing Co., USA, 2002.

has been cited by the following article:

• TITLE: Applying MILP for 27-Level CMLIs to Obtain Low THD Values over Wide Voltage Range

  AUTHORS: Mahmoud El-Bakry

  KEYWORDS: Cascaded Multilevel Inverters; Harmonic Elimination; Harmonic Values Minimization; Mixed Integer Linear Programming; Total Harmonic Distortion

  JOURNAL NAME: Energy and Power Engineering, Vol.5 No.4, June 19, 2013

  ABSTRACT: The 27-level cascaded multilevel inverter (CMLI) is a popular CMLI, since it can produce an output voltage with nearly sinusoidal wave form and may be realized as a trinary asymmetric CMLI that consists of only three H-bridges. A new approach using a mixed integer linear programming (MILP) model is applied, that can determine the switching angles of this CMLI that minimize the values of any undesired harmonics. The model is applied first to determine the number of harmonics to be minimized to obtain least percentage total harmonic distortion (%THD) utilizing the 13 positive levels of the inverter. The obtained result is then included in the model and it is solved for different values of the output voltage. Single phase and three phase cases are investigated. The results show very low values of %THD and low order harmonics over wide voltage range till the 91st harmonic in both cases, which agree with the IEEE standards 519-1992 for voltage distortion limits till 161 kv.