Mixed-integer recourse in industrial demand response scheduling with interruptible load

While industrial demand response has become a prominent strategy for power-intensive chemical plants to remain cost-competitive, the financially incentivized provision of load reduction capacities, also called interruptible load, to the power grid is still a less explored topic. Here, a major challenge lies in dealing with the uncertainty that one does not know when load reduction will be requested. In this work, a scheduling model for a continuous industrial process providing interruptible load is developed, where we apply an adjustable robust optimization approach to address the uncertainty. The main difference to previous works is that we incorporate both continuous and binary recourse variables. When applied in our computational case study, the proposed model achieves significant cost savings when compared with a model that only considers continuous recourse.