Prescribed Robustness in Optimal Power Flow

Fuente: arXiv
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Autori principali: Mieth, Robert, Poor, H. Vincent
Natura: Preprint
Pubblicazione: 2023
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author Mieth, Robert
Poor, H. Vincent
author_facet Mieth, Robert
Poor, H. Vincent
contents For a timely decarbonization of our economy, power systems need to accommodate increasing numbers of clean but stochastic resources. This requires new operational methods that internalize this stochasticity to ensure safety and efficiency. This paper proposes a novel approach to compute adaptive safety intervals for each stochastic resource that internalize power flow physics and optimize the expected cost of system operations, making them ``prescriptive''. The resulting intervals are interpretable and can be used in a tractable robust optimal power flow problem as uncertainty sets. We use stochastic gradient descent with differentiable optimization layers to compute a mapping that obtains these intervals from a given vector of context parameters that captures the expected system state. We demonstrate and discuss the proposed approach on two case studies.
format Preprint
id arxiv_https___arxiv_org_abs_2310_02957
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Prescribed Robustness in Optimal Power Flow
Mieth, Robert
Poor, H. Vincent
Optimization and Control
For a timely decarbonization of our economy, power systems need to accommodate increasing numbers of clean but stochastic resources. This requires new operational methods that internalize this stochasticity to ensure safety and efficiency. This paper proposes a novel approach to compute adaptive safety intervals for each stochastic resource that internalize power flow physics and optimize the expected cost of system operations, making them ``prescriptive''. The resulting intervals are interpretable and can be used in a tractable robust optimal power flow problem as uncertainty sets. We use stochastic gradient descent with differentiable optimization layers to compute a mapping that obtains these intervals from a given vector of context parameters that captures the expected system state. We demonstrate and discuss the proposed approach on two case studies.
title Prescribed Robustness in Optimal Power Flow
topic Optimization and Control
url https://arxiv.org/abs/2310.02957