The power industry is one of the major energy industries, and how to dispatch the generators to minimize the operation cost with system security is the most important target for power dispatchers. When power dispatchers propose a day-ahead generation plan, they usually consider load balanced, unit characteristics, fuel consumption and other system constraints, that are also considered in the short-term unit commitment problem. This paper proposes the short-term unit commitment model with mixed integer linear programming that the objective function is total generation cost with unit constraints and system constraints. Due to the computing time of solving the unit commitment problem with a complete model is very long; it cannot support a proposal to the power dispatchers in a short time. So this paper also proposes the simplified model combined with a two-stage algorithm and using the simplified model's solution as the parameter of the complete model to speed up the solution. And this paper uses Taipower's nine thermal units to verify accuracy.
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