高电压技术2026，Vol.52Issue(4)：1600-1615,16.DOI:10.13336/j.1003-6520.hve.20250813
基于CPOD与SMB-BiLSTM降阶的三维非线性瞬态磁场快速计算
Fast Calculation of 3-D Nonlinear Transient Magnetic Fields Based on CPOD and SMB-BiLSTM Reduced-order Modeling
摘要
Abstract
Large-scale electrical equipment typically involves millions of nodes,leading to prohibitive computational costs in three-dimensional(3-D)nonlinear transient magnetic field simulations and making real-time simulation of elec-tromagnetic performance difficult to achieve.This paper proposes a fast calculation method for nonlinear transient magnetic fields based on cluster-enhanced proper orthogonal decomposition(CPOD)and stepwise multi-branch bidirec-tional long short-term memory(SMB-BiLSTM)reduced-order modeling.A reduced snapshot matrix is constructed via a multi-stage K-means spatial node reduction strategy to achieve efficient feature extraction of the magnetic fields in large-scale electrical equipment,and the dominant modes and their corresponding coefficient vectors are obtained.In ac-cordance with the 3-D transient characteristics,an SMB-BiLSTM network is established to calculate the temporal coefficient vectors under different excitation waveforms,thus the complex field solving problem is transformed into a prediction of the optimal linear combination of different modes,ultimately reconstructing the precise magnetic field dis-tribution.The efficiency of the proposed reduced-order model is verified by establishing fast calculation models for the TEAM Problem 24(a benchmark for nonlinear transient fields in rotating machines)and a 1 000 kVA amorphous alloy distribution transformer,and the results and computation time are compared with those of the full-order models.The re-sults demonstrate that the proposed method can be adopted to maintain high calculation accuracy(with average relative errors of 0.79％and 1.72％,respectively)and significantly improve the calculation efficiency of 3D nonlinear transient magnetic fields,achieving a speedup ratio of over 10 000 times.关键词
非线性瞬态磁场/K-means聚类/本征正交分解/SMB-BiLSTM/非晶合金配电变压器/降阶计算Key words
nonlinear transient magnetic field/K-means cluster/POD/SMB-BiLSTM/amorphous alloy distribution transformer/reduced order calculation引用本文复制引用
刘禹彤,任自艳,迟连强,张殿海,张艳丽..基于CPOD与SMB-BiLSTM降阶的三维非线性瞬态磁场快速计算[J].高电压技术,2026,52(4):1600-1615,16.基金项目
辽宁省教育厅高校基本科研项目(LJ212510142018).Project supported by Basic Scientific Research Project of Colleges and Universities Under the Liaoning Provincial Department of Education(LJ212510142018). （LJ212510142018）
