Fossil fuels paved the way to prosperity for modern societies, yet alarmingly, we can exploit our planet’s soil only so much. Renewable energy sources inherit the burden to quench our thirst for energy, and to reduce the impact on our environment simultaneously. However, renewables are inherently volatile; they introduce uncertainties. What is the effect of uncertainties on the operation and planning of power systems? What is a rigorous mathematical formulation of the problems at hand? What is a coherent methodology to approaching power system problems under uncertainty? These are among the questions that motivate the present thesis that provides a collection of methods for uncertainty quantification for (optimization of) power systems.

We cover power flow (PF) and optimal power flow (OPF) under uncertainty (as well as specific derivative problems). Under uncertainty---we view "uncertainty" as continuous random variables of finite variance---the state of the power system is no longer certain, but a random variable. We formulate PF and OPF problems in terms of random variables, thusly exposing the infinite-dimensional nature in terms of L2-functions. ... mehr

We cover power flow (PF) and optimal power flow (OPF) under uncertainty (as well as specific derivative problems). Under uncertainty---we view "uncertainty" as continuous random variables of finite variance---the state of the power system is no longer certain, but a random variable. We formulate PF and OPF problems in terms of random variables, thusly exposing the infinite-dimensional nature in terms of L2-functions. ... mehr

Zugehörige Institution(en) am KIT |
Institut für Automation und angewandte Informatik (IAI) |

Publikationstyp |
Hochschulschrift |

Publikationsjahr |
2020 |

Sprache |
Englisch |

Identifikator |
KITopen-ID: 1000104661 |

HGF-Programm |
37.06.01 (POF III, LK 01) Networks and Storage Integration |

Verlag |
Karlsruhe |

Umfang |
XIII, 191 S. |

Abschlussart |
Dissertation |

Fakultät |
Fakultät für Informatik (INFORMATIK) |

Institut |
Institut für Automation und angewandte Informatik (IAI) |

Prüfungsdatum |
10.12.2019 |

Referent/Betreuer |
Prof. V. Hagenmeyer |

Schlagwörter |
power systems, optimization, uncertainty quantification, polynomial chaos expansion, chance constraints, power flow, optimal power flow |

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