Households with photovoltaic installations contribute to reducing greenhouse gas emissions and mitigating global climate change. To fully utilize the benefits of clean solar energy, it is essential to ensure its efficient use, which can be achieved by consuming all generated energy locally, within the household or a microgrid community, eliminating wastage during the grid transportation and storage. In this work, we propose a method to enhance self-consumption by eliminating simultaneous bidirectional energy flow in the phase lines of a three-phase grid-tied household system, particularly in cases of significant load asymmetry. We developed an adaptive power flow management (APFM) algorithm which distributes solar-generated energy across the household grid’s phase lines based on their respective loads and solar power generation level. A simulation based on real-world data demonstrated that the APFM algorithm both eliminates simultaneous active power import and export flows and ensures that all power exported from the household to the DSO grid remains symmetrical across all phase lines. As observed from the simulation results, applying the APFM algorithm reduced the daily imported and exported energy between the household and the DSO grid by an average of 27.5% during the spring–autumn period for a specific household. Additionally, reducing energy flow led to a 5% average increase in self-consumption within the household grid, with peak improvements reaching 16.5%.