Chance-constrained optimal control of a gas-to-power system (Doctoral Seminar)
Veranstaltungsort
N.2.01
Veranstalter
Institut für Statistik
Beschreibung
We are concerned with optimal control strategies subject to uncertain demands.
Taking uncertainty into account becomes more and more important
in many areas. In the context of the energy transition in Germany, a need for
control strategies taking these uncertainties into account naturally arises.
Deviations from the demand actually realized need to be compensated,
which might be very costly and should be avoided. To this end, we consider
different approaches to control the amount of gas withdrawn from a
network at a given time to meet an uncertain power demand stream in an
optimal way. To enhance supply reliability, we require demand satisfaction
at a prescribed probability level, mathematically formulated in terms of a
chance constraint. The stochastic optimal control framework has been set
up in [1]. The gas flow trough the pipelines is modeled by the isentropic
Euler equations and the Ornstein-Uhlenbeck process is used to model the uncertain
demand. Acknowledgments The authors are grateful for the support
of the German Research Foundation (DFG) within the project “Novel models
and control for networked problems: from discrete event to continuous
dynamics” (GO1920/4-1).
Vortragende(r)
Kerstin Lux (Universität Mannheim)
Kontakt
Simone Gahleitner (simone [dot] gahleitner [at] aau [dot] at)
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