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Title: An unsupervised physics-informed neural network method for AC power flow calculations
Authors: Jiang, B 
Qin, C 
Wang, Q 
Issue Date: 5-Sep-2025
Source: IEEE transactions on power systems, 5 Sept 2025, v. 40, no. 5, p. 4407-4410
Abstract: Power flow (PF) calculation is essential for power system analysis. In recent years, data-driven methods have emerged as a promising approach to accelerate PF calculations. However, these methods require high-quality labeled data and often suffer from poor generalization. To address these issues, an unsupervised physics-informed neural network (UPINN) method is proposed for AC PF calculations. The proposed method follows the general process of Newton-Raphson's method. By minimizing the physics-informed loss function, which is designed based on active and reactive power mismatches, the PF equations will be satisfied directly without the need to calculate the Jacobian matrix's inverse. Proofs of the proposed UPINN training method's convergence are provided. Case study results on the IEEE 24-bus and 118-bus systems demonstrate the feasibility of the proposed approach, showing that UPINN's power flow model can achieve high generalization performance without relying on labeled data.
Keywords: AC power flow
Physics-informed neural network
Power systems
Unsupervised learning
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on power systems 
ISSN: 0885-8950
EISSN: 1558-0679
DOI: 10.1109/TPWRS.2025.3585727
Rights: © 2025 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
The following publication B. Jiang, C. Qin and Q. Wang, "An Unsupervised Physics-Informed Neural Network Method for AC Power Flow Calculations," in IEEE Transactions on Power Systems, vol. 40, no. 5, pp. 4407-4410, Sept. 2025 is available at https://doi.org/10.1109/TPWRS.2025.3585727.
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