Abstract: Aiming at diverse control objectives during the coordinated operation of active distribution grids with multiple prosumers, as well as the security and stability challenges during operation, a two-stage day-ahead optimization strategy is proposed for active distribution grids with multiple prosumers, taking into account the voltage satisfaction. In the first stage, the active distribution grid operator acts as the leader while the prosumers serve as followers, constituting a master-slave game power trading optimization model. The win-win situation of minimizing the operation cost for the distribution grid operator and maximizing the revenue of the consumers is achieved by optimizing the trading tariff and through the coupled decision-making of the prosumers' power purchase and sale plans. In the second stage, an active distribution network voltage optimization model based on second-order cone relaxation is proposed, taking into account the impact of interaction power on the safe operation of the distribution network during the master-slave game. It also considers the active network loss cost, the customer voltage satisfaction cost, and the active clearing adjustment cost. Finally, a case study of an active distribution grid containing three consumers is conducted to verify the effectiveness and rationality of the proposed model.