A bi-directional power converter includes: a plurality of input nodes, each input node configured to electrically connect to one phase of a multi-phase AC electrical power distribution network; and an electrical network configured to convert alternating current (AC) to direct current (DC) and to convert DC current to AC current, the electrical network including a plurality of electronic switches. The bi-directional power converter also includes a control system configured to: estimate harmonic voltage content at three intermediate nodes in the bi-directional power converter based on a measured electrical quantity; and control the electronic switches to compensate for the estimated harmonic voltage content.