%0 Electronic Article
%A Baader, Florian
%A Althaus, Philipp
%A Bardow, André
%A Dahmen, Manuel
%T Demand Response for Flat Nonlinear MIMO Processes using Dynamic Ramping Constraints
%I arXiv
%M FZJ-2023-00764
%D 2022
%X Volatile electricity prices make demand response (DR) attractive for processes that can modulate their production rate. However, if nonlinear dynamic processes must be scheduled simultaneously with their local multi-energy system, the resulting scheduling optimization problems often cannot be solved in real time. For single-input single-output processes, the problem can be simplified without sacrificing feasibility by dynamic ramping constraints that define a derivative of the production rate as the ramping degree of freedom. In this work, we extend dynamic ramping constraints to flat multi-input multi-output processes by a coordinate transformation that gives the true nonlinear ramping limits. Approximating these ramping limits by piecewise affine functions gives a mixed-integer linear formulation that guarantees feasible operation. As a case study, dynamic ramping constraints are derived for a heated reactor-separator process that is subsequently scheduled simultaneously with its multi-energy system. The dynamic ramping formulation bridges the gap between rigorous process models and simplified process representations for real-time scheduling.
%K Optimization and Control (math.OC) (Other)
%K FOS: Mathematics (Other)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.48550/ARXIV.2205.14598
%U https://juser.fz-juelich.de/record/917562