Test Time Training for AC Power Flow Surrogates via Physics and Operational Constraint Refinement

Fuente: arXiv
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Autori principali: Dogoulis, Panteleimon, Alizadeh, Mohammad Iman, Kubler, Sylvain, Cordy, Maxime
Natura: Preprint
Pubblicazione: 2025
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author Dogoulis, Panteleimon
Alizadeh, Mohammad Iman
Kubler, Sylvain
Cordy, Maxime
author_facet Dogoulis, Panteleimon
Alizadeh, Mohammad Iman
Kubler, Sylvain
Cordy, Maxime
contents Power Flow (PF) calculation based on machine learning (ML) techniques offer significant computational advantages over traditional numerical methods but often struggle to maintain full physical consistency. This paper introduces a physics-informed test-time training (PI-TTT) framework that enhances the accuracy and feasibility of ML-based PF surrogates by enforcing AC power flow equalities and operational constraints directly at inference time. The proposed method performs a lightweight self-supervised refinement of the surrogate outputs through few gradient-based updates, enabling local adaptation to unseen operating conditions without requiring labeled data. Extensive experiments on the IEEE 14-, 118-, and 300-bus systems and the PEGASE 1354-bus network show that PI-TTT reduces power flow residuals and operational constraint violations by one to two orders of magnitude compared with purely ML-based models, while preserving their computational advantage. The results demonstrate that PI-TTT provides fast, accurate, and physically reliable predictions, representing a promising direction for scalable and physics-consistent learning in power system analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22343
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Test Time Training for AC Power Flow Surrogates via Physics and Operational Constraint Refinement
Dogoulis, Panteleimon
Alizadeh, Mohammad Iman
Kubler, Sylvain
Cordy, Maxime
Machine Learning
Artificial Intelligence
Systems and Control
Power Flow (PF) calculation based on machine learning (ML) techniques offer significant computational advantages over traditional numerical methods but often struggle to maintain full physical consistency. This paper introduces a physics-informed test-time training (PI-TTT) framework that enhances the accuracy and feasibility of ML-based PF surrogates by enforcing AC power flow equalities and operational constraints directly at inference time. The proposed method performs a lightweight self-supervised refinement of the surrogate outputs through few gradient-based updates, enabling local adaptation to unseen operating conditions without requiring labeled data. Extensive experiments on the IEEE 14-, 118-, and 300-bus systems and the PEGASE 1354-bus network show that PI-TTT reduces power flow residuals and operational constraint violations by one to two orders of magnitude compared with purely ML-based models, while preserving their computational advantage. The results demonstrate that PI-TTT provides fast, accurate, and physically reliable predictions, representing a promising direction for scalable and physics-consistent learning in power system analysis.
title Test Time Training for AC Power Flow Surrogates via Physics and Operational Constraint Refinement
topic Machine Learning
Artificial Intelligence
Systems and Control
url https://arxiv.org/abs/2511.22343