The paper presents the project of the power electronic AC/DC converter for prosumer applications operating under a multi-resonant control algorithm. This design allows independent control of active and reactive power for each or any phase. The converter and its algorithm are based on a three-phase converter of four-wire topology (AC/DC 3f-4p) with a DC bus, which couple the converter with a renewable energy source and energy storage. Model and simulation tests were carried out in the Matlab-Simulink programming environment. The results obtained indicate that operation with deep unbalances and powers of opposite signs in individual phases leads to current oscillations in the DC line. This is a significant limitation and the conclusion is that the level of asymmetry should be limited to the level acceptable by the energy storage.