Carbon capture power plants can realize the decarbonization of high-carbon thermal power, and this is one of the effective initiatives to reduce carbon emissions. The increasing penetration of wind power and its intermittent nature bring enormous pressure on the power system for peaking. Through integrated and flexible operation of the solution storage equipment in the carbon capture power plant for "energy time shifting", the system can solve the peaking problem caused by the access to large-scale wind power. Considering that the randomness of wind power increases the risk in the dispatching operation, this paper introduces the conditional value at risk (CVaR) in the financial risk management method to measure the risk cost in the dispatching operation. It establishes a comprehensive low-carbon optimal dispatching model including carbon capture power plant and wind power system with CVaR as the goal to maximize the system operational economy. The feasibility of the proposed model is demonstrated by simulation examples, and it is shown that it can effectively reduce carbon emission and operational risk of the system while ensuring optimal system economy.