This paper suggests an adaptive predictive deadbeat current control method for single-phase multi-tuned shunt hybrid active power filters (hapfs) to improve the power quality of single-phase and three-phase four-wire utility grids. the hapf structure eliminates the resonance between the passive power filter and the grid impedance. furthermore, it can be integrated into passive filters to enhance their filtering performance. in this paper, a digital algorithm is proposed for managing the performance of each converter leg accurately. to do so, an exact model of the high-order system is developed, and the transfer function of the plant is calculated in continuous and discrete time domains. then, a predictive deadbeat technique for hapf current control is presented, which benefits from high accuracy, fast dynamics, and low sensitivity to system parameter mismatches. extensive simulation and experimental tests are conducted and the results match well to confirm the success and appropriate performance of the overall system. also, performance comparison with conventional solutions demonstrates the superiority of the suggested filtering technique. n ppf passive power filter apf active power filter hapf hybrid active power filter pcc point of common coupling rcg reference current generation thd total harmonic distortion esr equivalent series resistance sogi second-order generalized integrator rls recursive least square pwm pulse-width modulation i grid current load current hapf injected current ppf inductor current apf injected current