Due to increasing load and penetration of renewables, the electric grid is using time-of-use pricing for industrial customers. Involving energy-intensive processes, steel companies can reduce their production cost by accounting for changes in electricity pricing. In particular, steel companies can take advantage of processing flexibility to make better use of electric power, and thus reduce the energy cost. In this paper, we address a new integrated scheduling problem of multi-stage production derived from the rolling sector of steel production, with consideration of campaign decisions and demand-side management. The problem is formulated as a continuous time mixed-integer nonlinear programming (MINLP) model with generalized disjunctive programming (GDP) constraints, which is then reformulated as a mixed-integer linear programming (MILP) model. Numerical results are presented to demonstrate that the model is computationally efficient and compact.

由于增加了可再生能源的负荷和渗透率，因此电网正在为工业客户使用分时定价。钢铁公司涉及能源密集型过程，可以通过考虑电价变化来降低生产成本。特别是，钢铁公司可以利用加工灵活性来更好地利用电力，从而降低能源成本。在本文中，我们考虑了竞选决策和需求方管理，解决了钢铁生产的轧制部门产生的多阶段生产的新的综合调度问题。该问题被公式化为具有广义析取规划（GDP）约束的连续时间混合整数非线性规划（MINLP）模型，然后将其重新表述为混合整数线性规划（MILP）模型。