Abstract: In power systems consisted of wind power generation (WPG), thermal, nuclear, carbon capture units, the peak shaving depth could be inaccurately selected when nuclear power units participate in peak regulation. In addition, the excessive wind power curtailment could also be an issue. In this paper, a linearized peaking depth model for nuclear units is proposed considering their co-operation with power-to-gas (P2G), WPG, thermal, and carbon capture units. First, based on the load tracking mode of nuclear power units, the accuracy of peak shaving depth selection could be improved by adding continuous variables. Secondly, the joint operation mode of the carbon capture power plant-P2G and demand response resources could facilitate the accommodation of WPG. Finally, the minimization of system comprehensive operation costs is selected as the overall objective function. At the same time, the carbon trading mechanism is considered to build the simulation model on the Matlab platform to verify the effectiveness of the proposed model. The results show that compared with the multi -source combination system of fixed peak-module gears, the proposed multi-source combined system operation mode can ensure the safe and stable operation of the nuclear power unit while achieving WPG utilization. The carbon emissions and comprehensive operating costs have decreased by 13.74% and 6.27%, respectively, which improves the low-carbon and economics of system operation.