Abstract: With the deepening of China's "double carbon" and "1+N" policy systems, the green and low-carbon transformation of gas-fired power plants has become a key task for the development of energy systems. In order to increase the consumption of renewable energy such as wind power and photovoltaics, we propose a new electric carbon industry chain cooperation system including carbon capture, utilization and storage (CCUS) and power to gas (P2G). Based on the fuzzy set of wind-power output prediction error of Wasserstein distance, a two-stage distributional robust optimization model is constructed, and the maximum operating profit of the system under the worst-case distribution is solved. The Shapley value method is applied to allocate the benefits among the four primary stakeholders within the system. Through simulation and comparative analysis, the results demonstrate that the new electric-carbon industry chain cooperation system with CCUS and P2G can significantly improve the utilization rate of solar power generation. In addition, the introduction of CCUS operators not only leads to a substantial reduction in carbon emissions, but also enhances both the carbon utilization rate and system operating profits. Moreover, the profit allocated to each stakeholder in the system exceeds that generated during independent operation, thereby providing a guarantee for the stable operation of the industrial chain system.