In low-carbon transition

carbon emission will be an additional concern in power system dispatch under uncertainty. In this paper

we propose a distributionally robust chance-constrained (DRCC) model for the low-carbon economic dispatch (LCED) with wind power uncertainty to achieve a low-carbon and economical operations. The DRCC-LCED model characterizes the wind power uncertainty via the variable moment-based ambiguity set

which avoids the assumptions on both uncertainty distribution and exact moment information. We incorporate the choice of wind power curtailment as an optimization variable into the proposed DRCC-LCED model and then reformulate the model as a tractable second-order cone programming. Case studies demonstrate the effectiveness of the proposed DRCC-LCED approach and show the value of incorporating the wind power curtailment in terms of feasibility enhancement of DRCC modeling and reduction in system cost and carbon emission.