Towards time series aggregation with exact error quantification for optimization of energy systems

Fuente: arXiv
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Main Authors: Gómez, Beltrán Castro, Werner, Yannick, Wogrin, Sonja
Format: Preprint
Published: 2025
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author Gómez, Beltrán Castro
Werner, Yannick
Wogrin, Sonja
author_facet Gómez, Beltrán Castro
Werner, Yannick
Wogrin, Sonja
contents Energy system optimization models are becoming increasingly popular for analyzing energy markets, such as the impact of new policies or interactions between energy carriers. One key challenge of these models is the trade-off between modeling accuracy and computational tractability. A recently proposed mathematical framework addresses this challenge by achieving exact time series aggregations merging time periods sharing the same active constraint sets. This aggregation, however, is insufficient when the number of unique active constraints is large. We overcome this issue by aggregating data points from different active constraint sets. While this further reduces model size, it inevitably introduces an error compared to the full model. Yet, we show how this error can be exactly quantified without re-solving the optimization problem, enabling users to trade off computational efficiency and model accuracy proactively. This may be especially useful in energy markets to accommodate varying granularity across short- and long-term time horizons.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06083
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards time series aggregation with exact error quantification for optimization of energy systems
Gómez, Beltrán Castro
Werner, Yannick
Wogrin, Sonja
Optimization and Control
Energy system optimization models are becoming increasingly popular for analyzing energy markets, such as the impact of new policies or interactions between energy carriers. One key challenge of these models is the trade-off between modeling accuracy and computational tractability. A recently proposed mathematical framework addresses this challenge by achieving exact time series aggregations merging time periods sharing the same active constraint sets. This aggregation, however, is insufficient when the number of unique active constraints is large. We overcome this issue by aggregating data points from different active constraint sets. While this further reduces model size, it inevitably introduces an error compared to the full model. Yet, we show how this error can be exactly quantified without re-solving the optimization problem, enabling users to trade off computational efficiency and model accuracy proactively. This may be especially useful in energy markets to accommodate varying granularity across short- and long-term time horizons.
title Towards time series aggregation with exact error quantification for optimization of energy systems
topic Optimization and Control
url https://arxiv.org/abs/2505.06083