2021
DOI: 10.48550/arxiv.2106.13638
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Transient Stability Analysis with Physics-Informed Neural Networks

Abstract: Solving the ordinary differential equations that govern the power system is an indispensable part in transient stability analysis. However, the traditionally applied methods either carry a significant computational burden, require model simplifications, or use overly conservative surrogate models. Neural networks can circumvent these limitations but are faced with high demands on the used datasets. Furthermore, they are agnostic to the underlying governing equations. Physicsinformed neural network tackle this … Show more

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Cited by 6 publications
(9 citation statements)
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“…Recent literature highlights the diverse applications of physics-informed Neural Networks (PINNs) in power system transient stability, with a particular focus on the ordinary differential equation (ODE) swing equation. These applications vary from simple setups involving a single infinite bus [26] to more intricate configurations involving nine buses [29], all examining rotor angle behavior in synchronous generators. However, there is a noticeable lack of comprehensive analyses of PINNs across different scales of power systems.…”
Section: Related Workmentioning
confidence: 99%
“…Recent literature highlights the diverse applications of physics-informed Neural Networks (PINNs) in power system transient stability, with a particular focus on the ordinary differential equation (ODE) swing equation. These applications vary from simple setups involving a single infinite bus [26] to more intricate configurations involving nine buses [29], all examining rotor angle behavior in synchronous generators. However, there is a noticeable lack of comprehensive analyses of PINNs across different scales of power systems.…”
Section: Related Workmentioning
confidence: 99%
“…Such methods are promising for real-time operation [79], [80] as their prediction requires minimal computational time, but have challenges related to the generation of training data [81], the interpretability of the prediction [82], their risks and probabilities of success [83], and their usability to other operating conditions and topologies [84], etc. Recently promising methods use the known dynamical model, i.e., the ODEs, to inform directly the ML training which can reduce the demands for training data [85], [86]. Real-time DSA could soon become a reality and upgrade the security assessment module of Fig.…”
Section: E Real-time Dsamentioning
confidence: 99%
“…PINNs were first applied to power systems in [34] to predict swing equation dynamics. They have since additionally been used for system identification [35], transient stability predictions [36], and for learning grid dynamics without simulation data [37]. Beyond ODE simulation and trajectory prediction, physics and sensitivity informed methods have also been utilized for regularizing models related to power distribution grid optimization [38], ACOPF [39], [40], DCOPF [41], parameter estimation [42], and risk-aware voltage optimization via "riskregularization" [43].…”
Section: Model Training and Physics-based Regularizationmentioning
confidence: 99%