With the large-scale integration of intermittent new energy and diverse flexible loads, the imbalance between feeders has intensified. To achieve feeder load balancing and stabilize DC voltage, an event-triggered dynamic consistency algorithm based feeder load balancing control strategy is proposed. First, the event-triggered dynamic consistency algorithm is designed to calculate the relevant state variables, which avoids centralized information processing. Second, a power calculation module and a power update module for feeder load balancing control are designed, enabling distributed feeder load balancing. Then, the droop characteristic curve and power reference value are improved based on voltage droop control to achieve zero-error tracking of the DC voltage. Finally, a four-terminal MMC flexible interconnected distribution network is developed on the PSCAD/EMTDC platform to verify the effectiveness of the proposed control strategy. Simulation results show that the proposed control strategy can rapidly balance the feeder loads, enhance the reliability of DC voltage control, and reduce system communication volume.