Under the guidance of the dual-carbon target,the high-proportion distributed power access power distribution system faces significant challenges in low-carbon and economic operation. Existing source-load-storage coordinated planning in power distribution systems emphasizes economic operation. This article proposes a decarbonization and economic operation strategy method for new power distribution system.Firstly, targeting the operational characteristics of wind-solar-load-storage units in the new power distribution system, individual unit models are constructed. Secondly, a dual-layer decision-making model for energy storage device siting and capacity setting and day-ahead optimized operation is built to reconcile the conflict between decarbonization responsibilities and economic operation in the system. Finally, to address the high-dimensional, multi-constraint optimization problem of economic operation in the new power distribution system, considering carbon trading costs, an improved particle swarm algorithm is used to solve the dual-layer optimization models. The effectiveness of the proposed optimization configuration strategy method in reducing system line losses, enhancing economic and decarbonization operations is validated through IEEE standard node examples.