Abstract: Addressing the challenges of insufficient self-healing research in low-voltage distribution networks, low station area reliability, and difficulties in renewable energy integration, this paper proposes a self-healing power supply scheme based on flexible interconnection for low-voltage distribution networks. First, an improved distributed flexible interconnection topology structure is constructed, and a collaborative architecture of station area fusion terminal and intelligent distributed FA terminal based on edge computing is designed to realize fault-linked self-healing between medium-voltage and low-voltage layers. Second, an energy flow model of flexible interconnection system is established, three strategies of distributed source-load transfer, power outage support, and fault isolation are designed, and a millisecond-level power supply recovery strategy based on predictive control is proposed. Finally, the effectiveness of the proposed scheme is verified through case studies. Research results show that: the scheme reduces system load rate variance by 99.7%, curtailed photovoltaic power by 82.5%, and operation cost by 4.1%; completes the entire process from fault occurrence to power supply recovery within 45ms, with 100% recovery rate for critical loads; system reliability decreases by only 0.65% after fault isolation.