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Interconnected power systems that link several countries and fully utilize their individual resources in a complementary manner are becoming increasingly important. As these systems enhance accommodation of renewable energy, they also represent a move toward low-carbon and low-emission power systems. In this paper, a low-carbon dispatch model is proposed to coordinate the generation output between several countries where the carbon emission constraint is a priority. An adjustable robust optimization approach is used to find the optimal solution under the worst-case scenario to address the uncertainties associated with renewable energy resources. A specific constraint is that the area control error for each country should be self-balanced. Furthermore, a reformation using participation factors is presented to simplify the proposed robust dispatch model. Simulation results for practical interconnected power systems in northeast Asian countries verify the effectiveness of the proposed model.