This paper presents an improved dead-beat predictive direct power control strategy and new voltage vector sequences for reversible three-phase grid-connected voltage-source converters. It analyzes the rate of change of active and reactive power for each voltage vector in different sectors. The study found issues with the predicted duration times of conventional active vectors being less than zero. To address this, two alternative vector sequences are proposed, analyzed, and experimentally validated on a 1.5 kW reversible grid-connected voltage-source converter system.