Recursive Selective Harmonic Elimination for Multilevel Inverters: Mathematical Formulation and Experimental Validation

A recursive method that eliminates $n+1$ harmonics and their respective multiples from the output voltage of a cascaded H-bridge (CHB) multilevel inverters with notation="LaTeX">$s=2^{n}$ dc sources notation="LaTeX">$(n=1,2,3,\ldots)$ is proposed. It solves notation="LaTeX">$2 \times 2$ linear systems no singular matrices always gives an exact solution very low computational effort. Simulated results in three-phase five-, nine-, 17-, 33-level CHB inverters, experimental five-level inverter demonstrate validity method.