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 thehigh-power electromagnetic equipment has a serious impact on sensitive equipment on the platform.So it is important to accurately model and characterize the low-frequency radiation characteristics of the equipment and support the predictions of the equipment's 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 thelarge radiation sources, the required dipole array contains many equivalent dipole sources, and it is challenging to choose the array height and dipole position.To solve the above problems, 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.Then, the adaptive differential evolution with 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, and the generalized cross-validation method (GCV) is used to solve the corresponding Tikhonov regularization parameters of the matrix equation so as 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 onJADE and the near-field data. To verify the correctness and reliability of the method, this paper is validated by experiments and numerical examples.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 methodin this paper 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.Experiments and numerical examples verify the proposed method in this paper that can significantly reduce the number of dipole arrays under certain accuracy conditions, sothe optimal low-frequency, distributed equivalent source model for high-power electromagnetic equipment is obtained.
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