## 1 Introduction  
An integrated energy system (IES), one of the key energy technologies of the future, can effectively solve the large-scale distributed power supply to the grid and reduce the adverse impact on grid operation [1]. However, a traditional stand-alone IES has limited regulation capacity and cannot further consume renewable energy [2]. Multiple integrated energy systems (MIES) [3; 4; 5] can realize the complementary energy utilization, which has significant advantages in improving the renewable energy consumption rate [6], cutting the system operation cost [7], reducing the power interaction to the main grid [8], and increasing the system's backup capacity [9]. Due to the role of energy storage devices and flexible loads in IES [10; 11], they can participate in energy trading in the power market. However, MIES participation in power market trading will face many problems such as competitive games and trade settlement, and how to build a set of scientific and reasonable MIES energy trading mechanisms has become a hot spot in the MIES energy market. Meanwhile, in order to promote the consumption of new energy and realize the low-carbon economic operation of the power system, domestic and international scholars have carried out extensive studies on carbon capture and storage (CCS) technology, power to gas (P2G) technology, and the carbon trading mechanism. The finding of [PERSON] et al. [12] verifies that the incorporation of the traditional carbon emission mechanism can optimize the integrated energy structure and stimulate the carbon emission reduction of the integrated energy system. [PERSON] et al. 's research [PERSON] et al. (2018) presented an in-depth examination of the internal energy flow of coal-fired power plants including CCS, used mathematical models to quantitatively analyze the operating range of CCS, and revealed that CCS has a wider regulation range and a faster response speed. It is indicated that carbon dioxide captured by CCS can be used as high-quality carbon raw material for the process of P2G in [PERSON] et al. (2018). [PERSON] et al. (2018) proposed the establishment of a coordination and optimization model for P2G-CCS power plants by taking P2G and CCS as a whole. These references above all point out that P2G and CCS enhance the wind and solar consumption capacity and improve the flexibility and economic performance of the system in patching and operation to a certain extent. Nonetheless, while large-scale new energy is connected to the power grid, the existing unit maintenance and operation joint optimization fails to fully consider the uncertainty of new energy output, resulting in difficulty ensuring the economic performance and robustness of the system at the same time. In [PERSON] et al. (2018), the algorithm of Benders decomposition was used to decompose the unit maintenance and operation joint optimization model into the main problems, the auxiliary problems and the power flow subproblems, for simplifying the issue, but the impact of the uncertainty of wind power on unit maintenance and operation was not taken into account. Ref. [PERSON] et al. (2018) proposed a maintenance and operation decision-making method combining scenario method and collaborative optimization, to seek the collaborative optimization of maintenance and operation. The results prove the better economic performance of the patching scheme obtained by the maintenance and operation collaborative optimization of thermal power units, where the uncertainty of wind power is considered, but the system does not include a carbon capture device. Moreover, there is no comparative analysis of the impact of different uncertainty methods on the optimization of the system, only focusing on the economic performance of the system. The robustness is not considered, while the uncertainty of wind power is not fully evaluated. The methods to study the uncertainty of WP mainly include stochastic optimization (SO), a method that is unable to accurately determine the probability distribution of stochastic optimization.