The present application presents a solution that intends to solve the problem of providing a single-stage bidirectional power conversion system (PCS) with a controllable power factor and the capability to regulate the current in the DC side. Disclosed is a single-stage, bidirectional and high-frequency isolated PCS, comprising a high-frequency transformer (HFT), a three-phase-to-single-phase matrix converter (MC), a full-bridge (FB) AC to DC converter, and a control system, where the control system outputs are connected to the switches of the MC and the FB converter. Moreover, the PCS output can also form a DC network for energy supply of several devices. This system converts three-phase AC power input from the network into DC power output that can be used for example to charge an energy storage device or supply a direct current distribution system. It is also possible to convert DC power input into AC power output to supply the network.