Modulation scheme in multilevel inverters (MLI) carries an important role in efficient power conversion from DC to AC power. They are superior in performance to the conventional two and three-level inverters. Recently, the Low Switching Frequency modulation schemes have gained a good amount of significance over High Switching Frequency modulation schemes because of their various advantages such as reduced switching losses, lower device cooling requirements, higher converter efficiency and so on. A Fibonacci series based NLM scheme named as F-NLM is presented in this paper where several iterations were carried out to arrive at an optimal set of switching angles following the Fibonacci number series. An asymmetrical Cascaded H-Bridge Inverter (CHBI) is taken up for the study to generate a nine-level MLI output. We carried simulations out in MATLAB environment, and we found the proposed modulation scheme to reduce the voltage THD and improve the power quality. © 2020 IEEE.