This document reviews the use of shunt active filters with multilevel inverters to improve power quality by eliminating current harmonics and providing reactive power compensation. It summarizes several research papers on different control techniques used for shunt active filters, such as indirect current control, instantaneous reactive power theory, synchronous reference frame control, and peak detection methods. The conclusion is that shunt active filters can effectively compensate for harmonics, reactive power, and load unbalances to improve power quality and make the source current sinusoidal.