In the context of “dual-carbon” target, in order to effectively reduce the impacts of carbon emissions and source and load uncertainties on the economic optimal dispatching of the virtual power plant (VPP) system, and to fur-ther explore the high-grade utilization of hydrogen energy in the process of power-to-gas (P2G), the oxy-fuel combustion carbon capture technology is introduced into the VPP, and the optimal dispatching of the VPP is es-tablished by taking into account the information gap decision theory (IGDT) and the oxy-fuel combustion carbon capture technology. Firstly, we analyze the operation principle and energy flow characteristics of the oxy-fuel combustion carbon capture unit and establish a mathematical model; secondly, we construct a framework for the synergistic operation of the oxy-fuel combustion carbon capture unit and P2G, and build a refined two-stage P2G and a hydrogen fuel cell model with an adjustable thermoelectricity ratio, so as to realize the high-grade utiliza-tion of hydrogen energy in the process of P2G, and to reduce the gradient loss of energy; and then, we introduce the reward-punishment laddering carbon trading model, and establish a VPP optimal dispatching model aiming to minimize the total operation cost of the system. The VPP optimal dispatching model is established with the ob-jective of minimizing the cost; then, the optimal dispatching model under the risk aversion and opportunity seek-ing strategies is constructed using IGDT, and the GUROBI commercial solver is called to solve the problem. Fi-nally, different scenarios are set up for example validation, and the results show that the scheme proposed in this paper can satisfy the low-carbon and economic operation of VPP under the consideration of the oxy-fuel com-bustion carbon capture technology and the source and load uncertainties.