刘刚, 李耕宇, 寇家俊, 刘洋, 刘云鹏. 基于ANDS-EDMDC的变压器动态磁场快速计算方法[J]. 高电压技术, 2025, 51(1): 50-61. DOI: 10.13336/j.1003-6520.hve.20241429
引用本文: 刘刚, 李耕宇, 寇家俊, 刘洋, 刘云鹏. 基于ANDS-EDMDC的变压器动态磁场快速计算方法[J]. 高电压技术, 2025, 51(1): 50-61. DOI: 10.13336/j.1003-6520.hve.20241429
LIU Gang, LI Gengyu, KOU Jiajun, LIU Yang, LIU Yunpeng. Fast Calculation Method for Transient Magnetic Field of Transformer Based on ANDS-EDMDC[J]. High Voltage Engineering, 2025, 51(1): 50-61. DOI: 10.13336/j.1003-6520.hve.20241429
Citation: LIU Gang, LI Gengyu, KOU Jiajun, LIU Yang, LIU Yunpeng. Fast Calculation Method for Transient Magnetic Field of Transformer Based on ANDS-EDMDC[J]. High Voltage Engineering, 2025, 51(1): 50-61. DOI: 10.13336/j.1003-6520.hve.20241429

基于ANDS-EDMDC的变压器动态磁场快速计算方法

Fast Calculation Method for Transient Magnetic Field of Transformer Based on ANDS-EDMDC

  • 摘要: 为实现短路过程中变压器动态磁场的快速计算,提出了基于自适应非线性程度选择的包含控制项扩展动态模态分解方法(adaptive nonlinear degree selection of extended dynamic mode decomposition for control, ANDS-EDMDC)。与扩展动态模态分解方法相比,ANDS-EDMDC引入了控制项与自适应非线性程度选择策略,进一步提升了对动态磁场计算的适用性与准确性。首先,为验证ANDS-EDMDC的有效性,该文以TEAM21的正常运行状态为研究对象进行动态磁场的全阶仿真与计算分析。以COMSOL磁场仿真结果为基准进行对比,改进模型的计算误差在3.698%以内,证明了所提方法的准确性。其次,将改进模型的结果与实际值进行比较,结果显示该算法在不考虑实际值和仿真值之间误差的情况下最大相对误差仅为0.64%。最后,应用ANDS-EDMDC对一台变压器三相短路过程的瞬态磁场进行了分析且与动态模态分解方法、扩展动态模态分解方法进行比较,结果显示EDMD的最大平均相对误差约为ANDS-EDMDC的14.7倍,且该算法相较于仿真计算效率提高约2 263倍。

     

    Abstract: In order to realize the rapid calculation of the dynamic magnetic field of transformer during the short circuit, an adaptive nonlinear degree selection of extended dynamic mode decomposition for control (ANDS-EDMDC) method was proposed. Compared with the extended dynamic modal decomposition method, ANDS-EDMDC introduces control terms and adaptive nonlinear degree selection strategies, which further improves the applicability and accuracy of dynamic magnetic field calculation. Firstly, in order to verify the effectiveness of ANDS-EDMDC, the full-order simulation and computational analysis of the dynamic magnetic field were carried out with the normal operation state of TEAM21 as the research object. Based on the magnetic field simulation results of COMSOL, the calculation error of the improved model is within 3.698%, which proves the correctness of the proposed method. Secondly, the results of the improved model were compared with the actual values, and the results showed that the improved model had a smaller error compared to the actual values. Finally, ANDS-EDMDC was applied to analyze the transient magnetic field during the three-phase short-circuit process of a transformer, and compared with the dynamic mode decomposition method and the extended dynamic mode decomposition method. The results show that the maximum average relative error of EDMD is about 14.7 times that of ANDS-EDMDC, and the algorithm can improve the efficiency of simulation calculation by about 2 263 times.

     

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