Demand Response for Flat Nonlinear MIMO Processes using Dynamic Ramping Constraints

Baader, Florian; Dahmen, Manuel; Bardow, André; Althaus, Philipp

doi:10.48550/ARXIV.2205.14598

Preprint

FZJ-2023-00764

Demand Response for Flat Nonlinear MIMO Processes using Dynamic Ramping Constraints

Baader, F.FZJ*RWTH* ; Althaus, P.FZJ*RWTH* ; Bardow, A.FZJ* ; Dahmen, M. (Corresponding author)FZJ*

2022
arXiv

arXiv (2022) [10.48550/ARXIV.2205.14598]

This record in other databases:

Please use a persistent id in citations: http://hdl.handle.net/2128/33649 doi:10.48550/ARXIV.2205.14598

Abstract: 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.

Keyword(s): Optimization and Control (math.OC) ; FOS: Mathematics

Contributing Institute(s):