TY  - EJOUR
AU  - Baader, Florian
AU  - Althaus, Philipp
AU  - Bardow, André
AU  - Dahmen, Manuel
TI  - Demand Response for Flat Nonlinear MIMO Processes using Dynamic Ramping Constraints
PB  - arXiv
M1  - FZJ-2023-00764
PY  - 2022
AB  - 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.
KW  - Optimization and Control (math.OC) (Other)
KW  - FOS: Mathematics (Other)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.48550/ARXIV.2205.14598
UR  - https://juser.fz-juelich.de/record/917562
ER  -