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This paper proposes a global optimization method for it ensures finding goodsolutions while solving the unit commitment (UC) problem with carbon emissiontrading (CET). This method con-sists of two parts. In the first part, asequence of linear inte-ger-relaxed subproblems are first solved to rapidlygenerate a tight linear relaxation of the original mixed integer nonlinearpro-gramming problem (MINLP) model. In the second part, the algo-rithmintroduces the idea of center-cut so that it can quickly find good solutions.The approach tested on 10 test instances with units ranging from 35 to 1560over a scheduling period of 24h, and compared with state-of-the-art solverCPLEX. The results show that the proposed algorithm can find better solutionsthan CPLEX in a short time. And it is more suitable to solve large scale UCproblem than CPLEX.

A Center-Point Algorithm for Unit Commitment with Carbon Emission Trading