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ZHANG Yuxian, ZHU Haige, FENG Xiaoli, YANG Lixia, HUANG Zhixiang. Electromagnetic Sensitivity Analysis of Curved Boundaries under the Method of Accompanying Variables[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT240432
Citation: ZHANG Yuxian, ZHU Haige, FENG Xiaoli, YANG Lixia, HUANG Zhixiang. Electromagnetic Sensitivity Analysis of Curved Boundaries under the Method of Accompanying Variables[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT240432

Electromagnetic Sensitivity Analysis of Curved Boundaries under the Method of Accompanying Variables

doi: 10.11999/JEIT240432
Funds:  The National Natural Science Foundation of China (62101333, 62071003, U21A20457), The Project of Excellent Scientific Research and Innovation Team of Universities in Anhui Province (2022AH010002)
  • Received Date: 2024-05-30
  • Rev Recd Date: 2024-09-20
  • Available Online: 2024-09-28
  • Sensitivity analysis an evaluation method for the influence with variations of the design parameters on electromagnetic performance, which is utilized to calculate sensitivity information. This information guides the analysis of structural models to ensure compliance with design specifications. In the optimization design of electromagnetic structures by commercial software, traditional algorithms are often employed, involving adjustments to the geometry. However, this approach is known to be extensive in terms of computational time and resource consumption. In order to enhance the efficiency of model design, a stable and efficient processing scheme is proposed in the paper, known as the Adjoint Variable Method (AVM). This method achieves estimation of 1st~2nd order sensitivity on parameter transformations with only two algorithmic simulation conditions required. The application of AVM has predominantly been confined to the sensitivity analysis of rectangular boundary parameters, with this paper making the first extension of AVM to the sensitivity analysis of arc boundary parameters. Efficient analysis of the electromagnetic sensitivity of curved structures is accomplished based on the conditions designed for three distinct scenarios: fixed intrinsic parameters, frequency-dependent objective functions, and transient impulse functions. Compared to the Finite-Difference Method (FDM), a significant enhancement in computational efficiency is achieved by the proposed method. The effective implementation of the method substantially expands the application scope of AVM to curved boundaries, which can be utilized in optimization problems such as the electromagnetic structures of plasma models and the edge structures of complex antenna models. When computational resources are limited, the reliability and stability of electromagnetic structure optimization can be ensured by the application of the proposed method.
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  • [1]
    RAO S S. Engineering Optimization Theory and Practice[M]. 4th ed. Hoboken: John Wiley & Sons, 2009.
    [2]
    ANTONIOU A and LU Wusheng. Practical Optimization Algorithms and Engineering Applications[M]. New York: Springer, 2007.
    [3]
    WU J C, WANG S P, WANG Y H, et al. Sensitivity analysis of design parameters in transverse flux induction heating device[J]. IEEE Transactions on Applied Superconductivity, 2020, 30(4): 0600406. doi: 10.1109/TASC.2020.2973604.
    [4]
    DU Guanghui, HUANG Na, ZHAO Yanyun, et al. Comprehensive sensitivity analysis and multiphysics optimization of the rotor for a high speed permanent magnet machine[J]. IEEE Transactions on Energy Conversion, 2021, 36(1): 358–367. doi: 10.1109/TEC.2020.3005568.
    [5]
    BAKER R D. A methodology for sensitivity analysis of models fitted to data using statistical methods[J]. IMA Journal of Management Mathematics, 2001, 12(1): 23–39. doi: 10.1093/imaman/12.1.23.
    [6]
    CABANA K, CANDELO J E, and CASTILLO R. Statistical analysis of voltage sensitivity in distribution systems integrating DG[J]. IEEE Latin America Transactions, 2016, 14(10): 4304–4309. doi: 10.1109/TLA.2016.7786309.
    [7]
    LI Hui, DU Yuanbo, YANG Xian, et al. Optimization of operation parameters in a cesium atomic fountain clock using Monte Carlo method[J]. IEEE Access, 2021, 9: 132140–132149. doi: 10.1109/ACCESS.2021.3113161.
    [8]
    KIM H, LEE J, LEE J, et al. Topology optimization of a magnetic resonator using finite-difference time-domain method for wireless energy transfer[J]. IEEE Transactions on Magnetics, 2016, 52(3): 7003304. doi: 10.1109/TMAG.2015.2478444.
    [9]
    ZHONG Shuangying, RAN Chongxi, and LIU Song. The optimal force-gradient symplectic finite-difference time-domain scheme for electromagnetic wave propagation[J]. IEEE Transactions on Antennas and Propagation, 2016, 64(12): 5450–5454. doi: 10.1109/TAP.2016.2606543.
    [10]
    MORI T, MURAKAMI R, SATO Y, et al. Shape optimization of wideband antennas for microwave energy harvesters using FDTD[J]. IEEE Transactions on Magnetics, 2015, 51(3): 8000804. doi: 10.1109/TMAG.2014.2359677.
    [11]
    FENG Feng, XUE Jianguo, ZHANG Jianan, et al. Concise and compatible MOR-based self-adjoint EM sensitivity analysis for fast frequency sweep[J]. IEEE Transactions on Microwave Theory and Techniques, 2023, 71(9): 3829–3840. doi: 10.1109/TMTT.2023.3248167.
    [12]
    NA Weicong, LIU Ke, ZHANG Wanrong, et al. Advanced EM optimization using adjoint-sensitivity-based multifeature surrogate for microwave filter design[J]. IEEE Microwave and Wireless Technology Letters, 2024, 34(1): 1–4. doi: 10.1109/LMWT.2023.3329783.
    [13]
    NIKOLOVA N K, BANDLER J W, and BAKR M H. Adjoint techniques for sensitivity analysis in high-frequency structure CAD[J]. IEEE Transactions on Microwave Theory and Techniques, 2004, 52(1): 403–419. doi: 10.1109/TMTT.2003.820905.
    [14]
    ZHANG Yu, AHMED O S, and BAKR M H. Adjoint sensitivity analysis of plasmonic structures using the FDTD method[J]. Optics Letters, 2014, 39(10): 3002–3005. doi: 10.1364/OL.39.003002.
    [15]
    HARMON J J, KEY C, ESTEP D, et al. Adjoint-based accelerated adaptive refinement in frequency domain 3-D finite element method scattering problems[J]. IEEE Transactions on Antennas and Propagation, 2021, 69(2): 940–949. doi: 10.1109/TAP.2020.3016162.
    [16]
    HUANG Zhengyu, JIANG Feng, CHEN Zian, et al. A 3-D total-field/scattered-field plane-wave source for the unconditionally stable associated hermite FDTD method[J]. IEEE Antennas and Wireless Propagation Letters, 2024, 23(2): 628–632. doi: 10.1109/LAWP.2023.3331381.
    [17]
    叶志红, 张玉, 鲁唱唱. 端接复杂电路传输线网络的电磁耦合时域并行计算方法[J]. 电子与信息学报, 2024, 46(2): 713–719. doi: 10.11999/JEIT230098.

    YE Zhihong, ZHANG Yu, and LU Changchang. Time domain parallel calculation method for the coupling of transmission line network terminated with complex circuits[J]. Journal of Electronics & Information Technology, 2024, 46(2): 713–719. doi: 10.11999/JEIT230098.
    [18]
    ZHU Guocui, NIU Kaikun, LI Minquan, et al. High-order ME-CFS-PML implementations for terminating the FDTD domain composed of arbitrary media[J]. IEEE Transactions on Microwave Theory and Techniques, 2024, 72(4): 2414–2426. doi: 10.1109/TMTT.2023.33158373.
    [19]
    ZHAO Sihan, WEI Bing, HE Xinbo, et al. 2-D hybrid cylindrical FDTD method with unconditional stability[J]. IEEE Microwave and Wireless Technology Letters, 2023, 33(7): 955–958. doi: 10.1109/LMWT.2023.3261918.
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