Proportional–integral/proportional–integral-derivative tuning procedure of a single-phase shunt active power filter using Bode diagram

This study presents a procedure for tuning proportional-integral/proportional-integral-derivative controllers using the frequency response method via Bode diagrams, which is relatively simple and easy to understand, and can be used when phase margin and 0 dB gain crossover frequency are project specifications. The method is validated in a practical power electronics application, considering the current and the DC-bus voltage loops of a shunt active power filter (SAPF). A detailed analysis related to the obtaining of the DC-bus voltage loop is also provided. In addition, a stability analysis is presented, considering how the SAPF compensation current is influenced according to the load current, taking into account different values of the grid impedance. Simulation and practical results show the effectiveness of the proposed scheme and its simplicity for being considered in practical cases.