The launch of the carbon-allowance trading market has changed the cost structure of the power industry. There is an asynchronous coupling mechanism between the carbon-allowance-trading market and the day-ahead power-system dispatch. In this study

a data-driven model of the uncertainty in the annual carbon price was created. Subsequently

a collaborative

robust dispatch model was constructed considering the annual uncertainty of the carbon price and the daily uncertainty of renewable-energy generation. The model is solved using the column-and-constraint generation algorithm. An operation and cost model of a carbon-capture power plant (CCPP) that couples the carbon market and the economic operation of the power system is also established. The critical

profitable conditions for the economic operation of the CCPP were derived. Case studies demonstrated that the proposed low-carbon

robust dispatch model reduced carbon emissions by 2.67% compared with the traditional

economic

dispatch method. The total fuel cost of generation decreases with decreasing

conservative

carbon-price-uncertainty levels

while total carbon emissions continue to increase. When the carbon-quota coefficient decreases

the system dispatch tends to increase low-carbon unit output. This study can provide important guidance for carbon-market design and the low-carbon-dispatch selection strategies.