Direct Power Control of a Shunt Active Power Filter Using a Modified IDA–PBC Approach With Integral Action

A direct power based controller designed using a modified interconnection and damping assignment passivity-based control (IDA-PBC) with integral action is proposed in this brief for a shunt active power filter (SAPF). A power based model of the SAPF is proposed and it is described as a port-Hamiltonian model. Then, an extended port Hamiltonian system is proposed including an integral action to compensate for parameter errors and unmodeled uncertainties. From this model, a complete matching equation for the extended system is proposed, and a modified IDA-PBC with integral action is employed to design a power-based controller for a SAPF.