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@ARTICLE{Baader:905455,
      author       = {Baader, Florian and Althaus, Philipp and Bardow, André and
                      Dahmen, Manuel},
      title        = {{D}ynamic {R}amping for {D}emand {R}esponse of {P}rocesses
                      and {E}nergy {S}ystems based on {E}xact {L}inearization},
      reportid     = {FZJ-2022-00696},
      year         = {2021},
      note         = {26 pages, 9 figures},
      abstract     = {The increasing share of volatile renewable electricity
                      production motivates demand response. Substantial potential
                      for demand response is offered by flexible processes and
                      their local multi-energy supply systems. Simultaneous
                      optimization of their schedules can exploit the demand
                      response potential, but leads to numerically challenging
                      problems for nonlinear dynamic processes. In this paper, we
                      propose to capture process dynamics using dynamic ramping
                      constraints. In contrast to traditional static ramping
                      constraints, dynamic ramping constraints are a function of
                      the process state and can capture high-order dynamics. We
                      derive dynamic ramping constraints rigorously for the case
                      of single-input single-output processes that are exactly
                      input-state linearizable. The resulting scheduling problem
                      can be efficiently solved as a mixed-integer linear program.
                      In a case study, we study two flexible reactors and a
                      multi-energy system. The proper representation of process
                      dynamics by dynamic ramping allows for faster transitions
                      compared to static ramping constraints and thus higher
                      economic benefits of demand response. The proposed dynamic
                      ramping approach is sufficiently fast for application in
                      online optimization.},
      cin          = {IEK-10},
      cid          = {I:(DE-Juel1)IEK-10-20170217},
      pnm          = {1121 - Digitalization and Systems Technology for
                      Flexibility Solutions (POF4-112) / ESI - Energy Systems
                      Integration (ESI-1720)},
      pid          = {G:(DE-HGF)POF4-1121 / G:(DE-HGF)ESI-1720},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2110.08137},
      howpublished = {arXiv:2110.08137},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2110.08137;\%\%$},
      url          = {https://juser.fz-juelich.de/record/905455},
}