Dynamic optimization of gas transmission networks for storage of renewable energy

Publikation: Qualifikations-/Studienabschlussarbeit › Dissertation

Autoren

  • Jan Thiedau

Organisationseinheiten

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Details

OriginalspracheEnglisch
QualifikationDoctor rerum naturalium
Gradverleihende Hochschule
Betreut von
  • Marc C. Steinbach, Betreuer*in
Datum der Verleihung des Grades13 Dez. 2017
ErscheinungsortHannover
PublikationsstatusVeröffentlicht - 2018

Abstract

Um die Versorgungssicherheit auch bei stark fluktuierender Stromerzeugung aus regenerativen Quellen sicherzustellen, werden umfangreiche Speicher benötigt. In dieser Arbeit wird die Anwendung mathematischer Optimierungsmethoden auf Gasnetze mit elektrisch betriebenen Verdichtern diskutiert, die als Stromspeicher eingesetzt werden sollen. Dafür wird ein transientes Netzmodell, das sowohl die Gasdynamik in Form der isothermen Euler-Gleichungen als auch weitere technische Netzelemente umfasst, eingeführt und anschließend im Kontext von hyperbolischer Erhaltungsgleichungen auf Netzen besprochen. Für Optimierungsprobleme auf Netzen werden diese partiellen Differentialgleichungen üblicherweise mit Finiten Differenzen eines impliziten Boxschemas diskretisiert. Der Vergleich mit den Ergebnissen von Finite-Volumen-Simulationen, die mit einem ADER-Verfahren höherer Ordnung bestimmt werden, zeigt, dass diese Finite-Differenzen-Approximationen die typische Dynamik in Gastransportnetzen genügend genau darstellen und dafür erheblich weniger Rechenaufwand benötigen. Dieses Optimierungsmodell wird dann auf realistische Testprobleme angewendet, die Teile des deutschen Gastransportnetzes abstrahieren. Die Ergebnisse für verschiedene Preissituationen, die als Indikator für das Angebot an erneuerbarer Energie genutzt werden, zeigen das Potential der Nutzung von Gasleitungen als kurzfristiger Stromspeicher aber auch die Einschränkungen. Zum Abschluss dieser Arbeit werden der kürzlich vorgestellte, verteilte Optimierungsalgorithmus ALADIN und seine Anwendung auf die strukturierten Gasnetzoptimierungsprobleme diskutiert. Dazu werden eine konkrete Implementation des Algorithmus und die Erfahrungen aus deren Einsatz für die vorgestellten Netzmodelle präsentiert. Im Vergleich zu einem Standardverfahren zeigt dieser Vorschlag einer Struktur ausnutzenden Lösungsmethode für einfache Beispiele ein vielversprechendes Verhalten, scheitert jedoch für kompliziertere Modellinstanzen.

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Dynamic optimization of gas transmission networks for storage of renewable energy. / Thiedau, Jan.
Hannover, 2018. 121 S.

Publikation: Qualifikations-/Studienabschlussarbeit › Dissertation

Thiedau, J 2018, 'Dynamic optimization of gas transmission networks for storage of renewable energy', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/3177
Thiedau, J. (2018). Dynamic optimization of gas transmission networks for storage of renewable energy. [Dissertation, Gottfried Wilhelm Leibniz Universität Hannover]. https://doi.org/10.15488/3177
Thiedau J. Dynamic optimization of gas transmission networks for storage of renewable energy. Hannover, 2018. 121 S. doi: 10.15488/3177
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