Total harmonics distortion (THD) is one of the main problems in power systems due to its effects in generating undesirable issues in power quality. These effects include heating (in transformers, capacitors, motors, and generators), disoperation of electronic equipment, incorrect readings on meters, disoperation of protective relays, and communication interference. Besides these problems, harmonics affect the power quality in both transmission and distribution systems. Different techniques have been used to mitigate the effects of harmonics. These techniques include; passive filters, active power filter, artificial intelligent, and adaptive selective harmonics reductions. Each method has some advantages and disadvantages. This paper presented new models of total harmonics distortion reduction using adaptive, Weiner, and Kalman filters. In order to test the performance of the presented methods, the output current of a single phase inverter circuit was used as a study case. The new models reduced the total harmonics distortion from by more than 50% however Kalman filters give the best performance as compared to adaptive and Weiner filters.