A method for compact modeling linear time-invariant structures of high frequency engineering on the level of electromagnetic fields

电磁场水平高频工程线性时不变结构紧凑建模方法

• 批准号: 238070611
• 负责人: Professor Dr. Romanus Dyczij-Edlinger
• 金额: --
• 依托单位: Lehrstuhl für Theoretische Elektrotechnik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2015-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/238070611?language=en
• 关键词: method; compact; modeling; linear; time

Numerical methods of electromagnetic fields simulation in the frequency domain -- such as the finite-element (FE) method -- enable the analysis of linear time-invariant systems of high-frequency engineering at low levels of error and provide high flexibility in modeling dispersive material properties. However, they lead to algebraic systems of large scale and high computational cost. Methods of model-order reduction (MOR) provide a systematic approach to transforming FE systems into low-dimensional models that stand out for moderate memory requirements, short solution times, and controllable error.The MOR methods developed in the first phase of the project exhibit stable behavior in the low-frequency regime and are capable of handling systems that are excited by waveguide modes of frequency-dependent transversal field patterns. Neglecting losses in the waveguide feeds, the methods succeed in formulating the distributed-parameter system, its FE discretization, and the resulting reduced-order system (ROM) in such a way that essential system properties are provably preserved throughout the entire modeling chain; this includes passivity, causality, stability, reciprocity, and energy.This renewal proposal extends the suggested methodology in the following aspects:1. Since many applications require time-domain simulations, the first goal is to transform the ROM, which is originally residing in the frequency-domain. Thanks to its preservation properties, the a-posteriori passivation required by competing methods may be omitted. Moreover, the well-defined structure of the ROM enables the realization of a descriptor or state-space model in the time-domain under non-restrictive assumptions and, in consequence, the use of fast recursive methods of convolution.2. The inclusion of losses in the waveguide feeds extends the range of application of the methodology and completes its theoretical foundations. One extra difficulty compared to the lossless case is that the waveguide modes are no longer energetically decoupled. The plan is to generalize the modeling within the theoretical framework of port-Hamiltonian systems, to extend the numerical methods for waveguides by frequency-dependent dissipative material models, and to update the time-domain transformation.3. Real-world applications require ROMs of known error limits. Likewise, it is desirable to minimize the ROM dimension for a given error tolerance. For these purposes, a self-adaptive MOR method is required which chooses appropriate expansion frequencies and adjusts the ROM order according to the requirements. As part of the project, an existing method for the non-dispersive case shall be extended to the case of frequency-dependent mode patterns.

频域中电磁场仿真的数值方法-例如有限元（FE）方法-能够以低误差水平分析高频工程的线性时不变系统，并在色散材料特性建模方面提供高度灵活性。然而，它们导致大规模和高计算成本的代数系统。模型降阶方法（莫尔）提供了一种系统的方法，将FE系统转换为低维模型，该模型具有中等的存储要求，较短的求解时间和可控的误差。在该项目的第一阶段开发的莫尔方法在低频范围内表现出稳定的行为，并且能够处理由频率相关的横向场模式的波导模式激励的系统。忽略波导馈电中的损耗，该方法成功地制定了分布参数系统，其FE离散化，以及由此产生的降阶系统（ROM）在这样一种方式，基本的系统属性是可证明地保留在整个建模链，这包括无源性，因果关系，稳定性，互易性，和energy.This更新的建议，建议的方法在以下几个方面：1。由于许多应用需要时域仿真，因此第一个目标是转换最初驻留在频域中的ROM。由于其保存特性，可以省略竞争方法所需的后验钝化。此外，ROM的明确定义的结构使得能够在非限制性假设下在时域中实现描述符或状态空间模型，从而使用快速递归卷积方法。2.波导馈入损耗的加入扩展了该方法的应用范围，并完善了其理论基础。与无损情况相比，一个额外的困难是波导模式不再能量解耦。计划在端口-哈密顿系统的理论框架内推广建模，通过频变耗散材料模型扩展波导的数值方法，并更新时域变换.现实世界的应用程序需要已知错误限制的ROM。同样，对于给定的误差容限，期望最小化ROM尺寸。为此，需要一种自适应的莫尔方法，该方法根据需要选择适当的扩展频率并调整ROM阶数。作为项目的一部分，现有的非色散情况下的方法应扩展到频率相关模式模式的情况下。

项目成果

Strukturerhaltende Diskretisierung verteilt-parametrischer Port-Hamiltonscher Systeme mittels finiter Elemente

• DOI: 10.1515/auto-2014-1093
• 发表时间: 2014-07
• 期刊: at - Automatisierungstechnik
• 作者: Ortwin Farle;Rolf-Björn Baltes;Romanus Dyczij-Edlinger

Time-domain simulation of electromagnetic fields based on reduced-order models residing in the frequency domain

基于频域降阶模型的电磁场时域仿真

• DOI: 10.1109/iceaa.2015.7297279
• 发表时间: 2015
• 期刊: 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)
• 作者: R. Baltes;O. Farle;R. Dyczij-Edlinger
• 通讯作者: R. Dyczij-Edlinger

A mixed finite-element formulation for the modal analysis of electromagnetic waveguides featuring improved low-frequency resolution of transmission line modes

用于电磁波导模态分析的混合有限元公式，具有改进的传输线模式低频分辨率

• DOI: 10.5194/ars-12-13-2014
• 发表时间: 2014
• 期刊: Advances in Radio Science
• 影响因子: 0.4
• 作者: R. Baltes;J. Al Ahmar;O. Farle;R. Dyczij-Edlinger
• 通讯作者: R. Dyczij-Edlinger

Adaptive model order reduction for structures fed by dispersive waveguide modes

色散波导模式馈电结构的自适应模型降阶

• DOI: 10.1109/iceaa.2015.7297280
• 发表时间: 2015
• 期刊: 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)
• 作者: R. Baltes;A. Sommer;O. Farle;R. Dyczij-Edlinger
• 通讯作者: R. Dyczij-Edlinger

Time-domain simulation of electromagnetic fields based on frequency-domain reduced-order models including Debye materials

基于包含德拜材料的频域降阶模型的电磁场时域模拟

• DOI: 10.1109/ursi-emts.2016.7571334
• 发表时间: 2016
• 期刊: 2016 URSI International Symposium on Electromagnetic Theory (EMTS)
• 作者: R. Baltes;O. Farleand R. Dyczij-Edlinger
• 通讯作者: O. Farleand R. Dyczij-Edlinger