Physics-Informed Kolmogorov-Arnold Networks for Power System Dynamics
Not on the map. Why?
Abstract (arXiv)
This paper presents, for the first time, a framework for Kolmogorov-Arnold Networks (KANs) in power system applications. Inspired by the recently proposed KAN architecture, this paper proposes physics-informed Kolmogorov-Arnold Networks (PIKANs), a novel KAN-based physics-informed neural network (PINN) tailored to efficiently and accurately learn dynamics within power systems. The PIKANs present a promising alternative to conventional Multi-Layer Perceptrons (MLPs) based PINNs, achieving superior accuracy in predicting power system dynamics while employing a smaller network size. Simulation results on a single-machine infinite bus system and a 4-bus 2- generator system underscore the accuracy of the PIKANs in predicting rotor angle and frequency with fewer learnable parameters than conventional PINNs. Furthermore, the simulation results demonstrate PIKANs capability to accurately identify uncertain inertia and damping coefficients. This work opens up a range of opportunities for the application of KANs in power systems, enabling efficient determination of grid dynamics and precise parameter identification.
Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 Aug 2024.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2024: 5; 2025: 6; 2026: 3.
14 papers.
Sort:
By area:
- 2024From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learningcited by 73
- 2024A Survey on Kolmogorov-Arnold Networkcited by 68
- 2024SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networkscited by 12
- 2024Multifidelity Kolmogorov-Arnold Networkscited by 9
- 2024KANtrol: A Physics-Informed Kolmogorov-Arnold Network Framework for Solving Multi-Dimensional and Fractional Optimal Control Problemscited by 3
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networkscited by 2
- 2025SOH-KLSTM: A Hybrid Kolmogorov-Arnold Network and LSTM Model for Enhanced Lithium-Ion Battery Health Monitoringcited by 1
- 2026Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEscited by 1
- 2025An Interpretable Multi-Plane Fusion Framework With Kolmogorov-Arnold Network Guided Attention Enhancement for Alzheimer's Disease Diagnosiscited by 0
- 2025Synergizing Kolmogorov-Arnold Networks with Dynamic Adaptive Weighting for High-Frequency and Multi-Scale PDE Solutionscited by 0
- 2026Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations9 Aug 2026
- 2026Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEs18 Jun 2026
- 2026The Enhanced Physics-Informed Kolmogorov-Arnold Networks: Applications of Newton's Laws in Financial Deep Reinforcement Learning (RL) Algorithms1 Feb 2026
- 2025Synergizing Kolmogorov-Arnold Networks with Dynamic Adaptive Weighting for High-Frequency and Multi-Scale PDE Solutions25 Dec 2025
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks26 Sep 2025
- 2025SOH-KLSTM: A Hybrid Kolmogorov-Arnold Network and LSTM Model for Enhanced Lithium-Ion Battery Health Monitoring31 Aug 2025
- 2025An Interpretable Multi-Plane Fusion Framework With Kolmogorov-Arnold Network Guided Attention Enhancement for Alzheimer's Disease Diagnosis8 Aug 2025
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries8 Apr 2025
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning8 Mar 2025
- 2024SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks9 Nov 2024
- 2024A Survey on Kolmogorov-Arnold Network9 Nov 2024
- 2024Multifidelity Kolmogorov-Arnold Networks18 Oct 2024
- 2024From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learningcited by 73
- 2024A Survey on Kolmogorov-Arnold Networkcited by 68
- 2024SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networkscited by 12
- 2024Multifidelity Kolmogorov-Arnold Networkscited by 9
- 2024KANtrol: A Physics-Informed Kolmogorov-Arnold Network Framework for Solving Multi-Dimensional and Fractional Optimal Control Problemscited by 3
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networkscited by 2
- 2025SOH-KLSTM: A Hybrid Kolmogorov-Arnold Network and LSTM Model for Enhanced Lithium-Ion Battery Health Monitoringcited by 1
- 2026Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEscited by 1
- 2025An Interpretable Multi-Plane Fusion Framework With Kolmogorov-Arnold Network Guided Attention Enhancement for Alzheimer's Disease Diagnosiscited by 0
- 2025Synergizing Kolmogorov-Arnold Networks with Dynamic Adaptive Weighting for High-Frequency and Multi-Scale PDE Solutionscited by 0
12 most cited of 13 All 13 (JSON)
- 2026Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations9 Aug 2026
- 2026Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEs18 Jun 2026
- 2025Synergizing Kolmogorov-Arnold Networks with Dynamic Adaptive Weighting for High-Frequency and Multi-Scale PDE Solutions25 Dec 2025
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks26 Sep 2025
- 2025SOH-KLSTM: A Hybrid Kolmogorov-Arnold Network and LSTM Model for Enhanced Lithium-Ion Battery Health Monitoring31 Aug 2025
- 2025An Interpretable Multi-Plane Fusion Framework With Kolmogorov-Arnold Network Guided Attention Enhancement for Alzheimer's Disease Diagnosis8 Aug 2025
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries8 Apr 2025
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning8 Mar 2025
- 2024SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks9 Nov 2024
- 2024A Survey on Kolmogorov-Arnold Network9 Nov 2024
- 2024Multifidelity Kolmogorov-Arnold Networks18 Oct 2024
- 2024From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning17 Oct 2024
12 newest of 13 All 13 (JSON)