Aequivalent Modeling Method for Low-Frequency Radiation Characteristics of High-Power Electromagnetic Equipment
Chen Hao1, Liu Qifeng1, Li Yongming1, Huang Chen2, Zhang Huaiqing1
1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University Chongqing 400044 China; 2. Key Laboratory of electromagnetic compatibility China Ship Development and Design Center Wuhan 430064 China
Abstract：As new power electronics with high switching frequencies are widely used in high-power, high-current, and large-volume electrical equipment on aircraft, ships, and other platforms, the low-frequency radiation generated by high-power electromagnetic equipment seriously impactssensitive equipment. Therefore, it is important to accurately model and characterize the low-frequency radiation characteristics of the equipment and support the predictions of its low-frequency field distribution characteristics to improve the entire platform's electromagnetic compatibility. When the traditional equivalent dipole method is used for equivalent modeling of the radiation characteristics of the large radiation sources, the required dipole array contains many equivalent dipole sources, and choosing the array height and dipole positionis challenging. Therefore, this paper proposes an equivalent dipole method based on the adaptive differential evolution algorithm for the low-frequency radiation characteristics of high-power electromagnetic equipment. Firstly, to reduce the number of dipoles in the array, the low-frequency radiation of the high-power electromagnetic equipment is equivalent to the distributed radiation source equivalent model of dipole arrays distributed in multiple regions according to the near-field test data. Secondly, the adaptive differential evolution with an optional external archive (JADE) is introduced to optimize the equivalent modeling of the low-frequency radiation characteristics to obtain the number, position, and height of dipole arrays that meet the requirements of high-precision equivalent modeling. Finally, to solve the ill-conditioned matrix in each iteration of the equivalent dipole method based on JADE, the least squares method, and Tikhonov regularization are used to solve the ill-conditioned matrix. The generalized cross-validation method (GCV) solves the corresponding Tikhonov regularization parameters of the matrix equation to obtain the stable solution of the equation. The distributed radiation source equivalent model of the optimal dipole array can be obtained using the equivalent dipole method based on JADE and the near-field data. Experiments verify the correctness and reliability of the method. Firstly, the low-frequency magnetic field radiation generated by high-power electromagnetic equipment is physically modeled, and the accuracy and reliability of the method in this paper are verified by equivalently modeling the radiation characteristics of the low-frequency radiation source in the test. Secondly, the method is further validated by equivalent modeling of the low-frequency radiation characteristics of an electronic cabinet and a twelve-phase permanent magnet motor. Then, the equivalent modeling method is applied to the low-frequency equivalent modeling of a complex high-power electromagnetic equipment cabinet The proposed method can significantly reduce the number of dipole arrays under certain accuracy conditions, so the optimal low-frequency, distributed equivalent source model for high-power electromagnetic equipment is obtained.
[1] 汪泉弟, 刘青松, 安宗裕, 等. 混合动力客车低频电磁辐射机理及抑制方法[J]. 电工技术学报, 2014, 29(1): 202-207, 228. Wang Quandi, Liu Qingsong, An Zongyu, et al.Electromagnetic radiation mechanism and noise suppression method for hybrid electric bus[J]. Transactions of China Electrotechnical Society, 2014, 29(1): 202-207, 228. [2] 华阳, 华成超. 舰船设备低频磁场传播特性仿真研究及试验验证[J]. 舰船电子工程, 2020, 40(12): 87-90. Hua Yang, Hua Chengchao.Simulation and test verification of low frequency magnetic field dis- tribution characteristics of ship equipment[J]. Ship Electronic Engineering, 2020, 40(12): 87-90. [3] Rosales A, Sarikhani A, Mohammed O A.Evaluation of radiated electromagnetic field interference due to frequency swithcing in PWM motor drives by 3D finite elements[J]. IEEE Transactions on Magnetics, 2011, 47(5): 1474-1477. [4] Huangfu Youpeng, Wang Shuhong, Di Rienzo L, et al.Radiated EMI modeling and performance analysis of a PWM PMSM drive system based on field-circuit coupled FEM[J]. IEEE Transactions on Magnetics, 2017, 53(11): 1-4. [5] Shinde S, Masuda K, Shen Guangyao, et al.Radiated EMI estimation from DC-DC converters with attached cables based on terminal equivalent circuit mode- ling[J]. IEEE Transactions on Electromagnetic Com- patibility, 2018, 60(6): 1769-1776. [6] 苏利捷, 黄保栋, 次仁罗布. 混联式PHEV中DC/DC变换器辐射电磁干扰分析与抑制[J]. 电测与仪表, 2019, 56(7): 35-42. Su Lijie, Huang Baodong, Ci Renluobu.Analysis and suppression on radiated EMI of DC/DC converter in parallel-series PHEV[J]. Electrical Measurement & Instrumentation, 2019, 56(7): 35-42. [7] 刘子剑. 非均匀介质中低频电磁波的散射与传输[D]. 成都: 电子科技大学, 2019. [8] Solís D M, Martín V F, Araújo M G, et al.Accurate EMC engineering on realistic platforms using an integral equation domain decomposition approach[J]. IEEE Transactions on Antennas and Propagation, 2020, 68(4): 3002-3015. [9] Kornprobst J, Knapp J, Mauermayer R A M, et al. Accuracy and conditioning of surface-source based near-field to far-field transformations[J]. IEEE Transactions on Antennas and Propagation, 2021, 69(8): 4894-4908. [10] Yu Zhenwei, Mix J A, Sajuyigbe S, et al.An improved dipole-moment model based on near-field scanning for characterizing near-field coupling and far-field radiation from an IC[J]. IEEE Transactions on Electromagnetic Compatibility, 2013, 55(1): 97-108. [11] Pan Jingnan, Wang Hanfeng, Gao Xu, et al.Radio- frequency interference estimation using equivalent dipole-moment models and decomposition method based on reciprocity[J]. IEEE Transactions on Elec- tromagnetic Compatibility, 2016, 58(1): 75-84. [12] Shu Yufei, Wei Xingchang, Fan Jun, et al.An equivalent dipole model hybrid with artificial neural network for electromagnetic interference prediction[J]. IEEE Transactions on Microwave Theory and Tech- niques, 2019, 67(5): 1790-1797. [13] 项方品. 基于近场扫描的高速电路电磁辐射建模研究[D]. 杭州: 浙江大学, 2015. [14] 孔文杰. 板级电磁辐射偶极子阵列等效建模研[D]. 杭州: 浙江大学, 2016. [15] Zhao Yuan, Baharuddin M H, Smartt C, et al.Measurement of near-field electromagnetic emissions and characterization based on equivalent dipole model in time-domain[J]. IEEE Transactions on Electro- magnetic Compatibility, 2020, 62(4): 1237-1246. [16] 郭成豹, 殷琦琦. 舰船磁场磁单极子阵列法建模技术[J]. 物理学报, 2019, 68(11): 114101. Guo Chengbao, Yin Qiqi.Magnetic monopole array model for modeling ship magnetic signatures[J]. Acta Physica Sinica, 2019, 68(11): 114101. [17] 戴忠华, 周穗华, 单珊. 基于模拟退火算法的舰船磁场高精度建模方法[J]. 电子学报, 2018, 46(6): 1524-1529. Dai Zhonghua, Zhou Suihua, Shan Shan.High accuracy method for ship magnetic field based on simulated annealing algorithm[J]. Acta Electronica Sinica, 2018, 46(6): 1524-1529. [18] 戴忠华, 周穗华, 张晓兵. 多目标优化的舰船磁场建模方法[J]. 物理学报, 2021, 70(16): 164101. Dai Zhonghua, Zhou Suihua, Zhang Xiaobing.Multi-objective optimization of ship magnetic field modeling method[J]. Acta Physica Sinica, 2021, 70(16): 164101. [19] 徐超群, 易忠, 孟立飞, 等. 基于遗传算法的卫星磁模型研究[J]. 电子学报, 2020, 48(6): 1108-1112. Xu Chaoqun, Yi Zhong, Meng Lifei, et al.Research on satellite magnetic model based on genetic algorithm[J]. Acta Electronica Sinica, 2020, 48(6): 1108-1112. [20] Zhang Jingqiao, Sanderson A C.JADE: adaptive differential evolution with optional external archive[J]. IEEE Transactions on Evolutionary Computation, 2009, 13(5): 945-958.
2023, Vol. 38 
