This research work proposes a cost-effective Hybrid Active Harmonic Filter (HAHF) method to mitigate current harmonics in an industrial or commercial power network. The proposed HAHF is based on a Silicon-Controlled Rectifier with an Electronic Inductor (SCR-EI) topology with a reduced number of fully active switches and a better harmonic performance. A new shifted-pulse current modulation method is proposed to cancel harmonics caused by other converters. A Particle Swarm Optimisation (PSO) algorithm is implemented to optimise the modulation parameters and minimise the total harmonics. A lab prototype is implemented in the laboratory to validate the proposed mathematical method and simulation results.INDEX TERMS Active power filter, adjustable speed drives (ASD), harmonic mitigation, hybrid active harmonic filter, selective harmonic cancellation, power electronics, PSO algorithm.