https://doi.org/10.1051/epjap/2025020
Original Article
Application of HBM and POD for insulation assessment of oil-paper insulation system with nonlinear properties
1
State Key Laboratory of Power Transmission Equipment and System Security and New Technology, 400044 Chongqing, China
2
Group of Electrical and Electronic Engineering of Paris, Sorbonne Université, CNRS, 75005 Paris, France
3
Group of Electrical and Electronic Engineering of Paris, Université Paris-Saclay, CentraleSupélec, CNRS, 91190 Paris, France
* e-mail: [email protected]
Received:
21
September
2024
Accepted:
9
July
2025
Published online: 25 August 2025
The oil-paper insulation system of converter transformers operates under periodic composite AC & DC voltages, with its insulation ability determined by permittivity and conductivity. In the assessment of insulation state, the harmonic balance method (HBM) is adopted in electro-quasi-static field problems to consider the harmonic dependence of permittivity. To reduce the computational burden, proper orthogonal decomposition (POD) is incorporated into the HBM scheme to decrease computational complexity, and a sampling method is put forward based on the characteristics of power system harmonics. Additionally, the nonlinear electric field dependence of the conductivity of the oil-paper insulation system is taken into account in the insulation assessment, which is addressed using the fixed-point iteration method in this paper. Finally, a model of a converter transformer is constructed to demonstrate the effectiveness of the HBM-POD approach.
Key words: Hamonic balance method / model order reduction / nonlinear system / oil-paper insulation / periodic problems
© C. Chi et al., Published by EDP Sciences, 2025
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