A method for designing cascaded multi-level inverters with minimization of large-scale voltage distortion, based on KKT (Karush-Kuhn-Tucker) conditions and with simplified computation of conduction angles, simplifies the computation process, and is conducive to on-line calculation. Meanwhile, its fundamental voltage is adaptive, minimization of total harmonic is realized for cascaded multi-level inverters at high-voltage, and voltage power quality at grid connected nodes is improved.