一种强电磁设备宽频段阻抗的无源等效电路网络建模方法

doi:10.19595/j.cnki.1000-6753.tces.220833

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摘要在舰船综合电力系统等复杂系统的电磁兼容设计验证中,迫切需要通过对强电磁设备的阻抗进行物理等效以便开展半实物电磁兼容试验。工程上常用矢量匹配法实现强电磁设备阻抗的等效电路网络建模,但由于存在“端口无源性”和非正值元件导致的“元件无源性”问题,不能确保等效电路网络的物理可实现性。为了解决这个问题,该文提出一种融合了矢量匹配法、留数摄动法和优化算法,并可物理实现的强电磁设备宽频段阻抗建模新方法。该方法首先通过矢量匹配法对强电磁设备的阻抗数据进行有理函数拟合;然后利用留数摄动法对矢量匹配法的结果进行“端口无源性”修正,并将其转化为等效电路网络;随后利用粒子群算法和天牛须算法对非正值元件进行修正,实现“元件无源性”修正;最后,通过典型实际案例验证了该方法的可靠性和正确性。

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关键词 ：粒子群算法, 无源网络, 宽带网络, 矢量匹配法, 强电磁设备

Abstract：Due to the large-scale use of power conversion modules in complex systems such as ship-integrated power systems and the increasing dv/dt and di/dt caused by the rapid increase of switching frequency, which brings serious electromagnetic interference risks to complex systems such as ship-integrated power systems. Therefore, in the electromagnetic compatibility design stage of complex systems such as ship-integrated power systems, it is urgent to model the electrical network of the strong electromagnetic equipment in the system to carry out equivalent physical simulation and support the hardware-in-the-loop electromagnetic compatibility test. The vector fitting method is commonly used in engineering literature to model the equivalent circuit network with the impedance of strong electromagnetic equipment. However, due to the problem of "port passivity" and "component passivity" caused by non-positive components, the physical realization of the equivalent circuit network cannot be ensured. To solve this problem, this paper proposes a new physically realizable wideband impedance modeling method for strong electromagnetic equipment, which integrates vector fitting method, residue perturbation method, and optimization algorithm.
Firstly, the impedance data of strong electromagnetic equipment are mathematically fitted by the vector fitting method, so that the discrete test data can be transformed into continuous rational functions. Secondly, considering the inherent "port passivity" problem caused by the vector matching method, the residual perturbation method is introduced to modify the results of the vector matching method to avoid the numerical divergence problem in the time domain simulation. Then, according to the knowledge of electrical networks, the rational function modified by "port passivity" is further transformed into equivalent circuit networks. Finally, to ensure the rapid and efficient completion of the "component passivity" correction, the particle swarm optimization algorithm (PSO) and the Beetle Antennae Search Algorithm (BAS) are utilized in this paper for their simpler principle,fewer parameters,faster search speed and less needof computer resources. The reason is that these two algorithms have many advantages such as simple principle, few parameters, fast search speed and low need of computer resources. Aiming at the non-positive components in the equivalent circuit network, these two algorithms are used to correct the "component passivity" of the whole equivalent circuit network, and an equivalent circuit network composed entirely of passive components is obtained.
To verify the correctness and reliability of this method, this paper selects AC-AC converter and permanent magnet synchronous motor as two typical pieces of equipment in the ship-integrated power systems. Combined with the effective measurement range of WK 6500B impedance analyzer and CE102 of national military testing standards GJB 151B—2013, these impedances are measured in the frequency band of 10 kHz~10 MHz, and its equivalent circuit network is established using the method proposed in this paper. By comparing the experimental data of the two devices with the simulation data of the equivalent circuit network, the proposed method can meet the error requirements of electromagnetic compatibility test, and the correctness and reliability of the proposed method can be verified. Through the verification and analysis of these two practical devices, it is found that the BAS is more suitable for the proposed method than the PSO.

Key words： Particle swarm optimization passive networks wideband networks vector fitting high-power electromagnetic equipment

收稿日期: 2022-05-16

PACS:

TM341

基金资助:重庆市自然科学基金项目（cstc2021ycjh-bgzxm0330, cstc2020jcyj- msxmX0825）和中央高校基本科研业务费项目（2020CDJ-LHZZ-078）资助

通讯作者: 刘其凤男,1981年生,副研究员,硕士生导师,研究方向为电磁兼容预测与量化设计、电磁环境特性及防护等。E-mail：liuqifeng@cqu.edu.cn

作者简介: 徐寅翔男,1998年生,硕士研究生,研究方向为电力电子设备间的电磁干扰预测。E-mail：xuyinxiang@cqu.edu.cn

引用本文:

徐寅翔, 刘其凤, 黄晓婷, 冯贞晶, 明若彤. 一种强电磁设备宽频段阻抗的无源等效电路网络建模方法[J]. 电工技术学报, 2023, 38(15): 4097-4106. Xu Yinxiang, Liu Qifeng, Huang Xiaoting, Feng Zhenjing, Ming Ruotong. A Modeling Method of Passive Equivalent Circuit Network for Broadband Impedance of High-Power Electromagnetic Equipment. Transactions of China Electrotechnical Society, 2023, 38(15): 4097-4106.

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