Current tracking performance of hysteresis current control depends on some parameters such as coupling impedance, sampling time, execution time, and dc link voltage. In this paper, hysteresis band control method for a three-phase three-wire two-level Hybrid Active Power Filter (HAPF) converter coupled with series LC filter is formulized. The effect of both sampling frequency and execution time on current tracking performance is investigated. In order to enhance the current tracking performance of a sample HAPF system working in the field, its field data is analyzed and an EMTDC/PSCAD simulation environment is formed to represent the actual system in the field. The simulation environment is designed so that the sampling frequency and execution time models can be easily modified in order to observe their effect on current tracking performance. The simulation results show consistent results with the theoretical findings that the increase in sampling frequency and the reduction on execution time significantly improves the reference tracking performance. It is reached in this paper that the use of more powerful processor and increase in sampling frequency for the HAPF system working in the field are necessary for better current tracking performance.