Recursive Selective Harmonic Elimination for Multilevel Inverters: Mathematical Formulation and Experimental Validation
Concettina Buccella, Maria Gabriella Cimoroni, Carlo Cecati, Antonino Oscar Di Tommaso, Rosario Miceli, Claudio Nevoloso, G. Schettino
Abstract
A recursive method that eliminates <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$n+1$ </tex-math></inline-formula> harmonics and their respective multiples from the output voltage of a cascaded H-bridge (CHB) multilevel inverters with <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$s=2^{n}$ </tex-math></inline-formula> dc sources <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$(n=1,2,3,\ldots)$ </tex-math></inline-formula> is proposed. It solves <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$2 \times 2$ </tex-math></inline-formula> linear systems with no singular matrices and always gives an exact solution with very low computational effort. Simulated results in three-phase five-, nine-, 17-, and 33-level CHB inverters, and experimental results in a five-level inverter demonstrate the validity of the method.