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基于FDTD的微波电路热电建模理论与技术研究
Theory and Technology of Electric-thermal Modeling of Microwave Circuit Based on FDTD
【作者】 周玲;
【导师】 孙胜;
【作者基本信息】 电子科技大学 , 电磁场与微波技术, 2019, 硕士
【摘要】 随着不断增长的集成密度和微波电路的互连复杂性,微波电路的热效应不能再被忽略,特别是当电路在高功率或高温环境中工作的情况下,故有必要对微波电路进行热电耦合分析。许多数值计算方法可用于多物理场的计算,时域有限差分法(FDTD)由于能有效地模拟电磁场以及热场的瞬态响应且允许在结构的几何形状和基底材料中具有很大的灵活性,因而成为热电多物理耦合仿真的理想选择。在目前微波电路的高度集成促进了各种复杂的多尺度和多物理场算法的发展的趋势下,随着微波电路的仿真和数值建模中对计算精度、效率、依赖性和普遍性的需求不断增长,提高计算精度和准确性以进行严格的场模拟和模型设计显得尤为重要。应用数值校准技术可以有效消除数值算法中强加集总电流或电压激励源所引起的端口不连续性等问题,提高对微波电路参数提取的准确度。将开短路校准技术(SOC)与FDTD方法相结合以提取电路参数时,可以大大提高仿真精度并开发正确的电路模型,而且还可以获得较高计算效率。本文基于FDTD算法将热电耦合分析与数值校准技术相结合,提取了在考虑热效应的情况下微波电路的准确传输特性参数,为微波电路多物理分析的准确参数提取做出了一定贡献。本文的工作内容主要包括如下两部分:首先,基于利用FDTD进行全波电磁分析和瞬态热分析的理论基础实现了对微波电路结构热电耦合分析数值模型的建立,给出了合理的数值仿真流程,并将其成功应用于对SIW及HMSIW结构的热电耦合分析。其次,将基于FDTD的SOC校准理论引入到热电耦合数值模型中,给出了利用SOC技术对微波电路热电耦合模型核心电路进行参数的方法,并利用此方法成功提取到SIW及HMSIW结构DUT部分在不同条件下的复传播常数变化规律。
【Abstract】 Due to the increasing integration density and interconnect complexity,the thermal effects of microwave circuits can not be ignored,especially when the circuits are operating in high power or high temperature environments.Therefore,the electro-thermal coupling analysis of the microwave circuits is necessary.Many numerical methods are used to calculate multiphysics.The Finite-Difference Time-Domain(FDTD)method is an ideal choice for electro-thermal coupling simulation,because it can effectively simulate the transient response of electromagnetic fields and thermal fields,and the geometry of the structure and the substrate material in FDTD can be very flexible.The current high level of integration of microwave circuits has facilitated the development of various complex multi-scale and multi-physics algorithms.In the simulation and numerical modeling of microwave circuits,the demand for computational accuracy,efficiency,dependence and universality continues to grow.Improving the precision and accuracy of numerical calculations for rigorous field simulation model and model design is particularly important.The application of numerical calibration technology can effectively eliminate the problem of port discontinuity caused by the lumped current or voltage excitation source in the numerical algorithm and improve the accuracy of microwave circuit parameter extraction.When combining the Open-Short circuit calibration(SOC)technique with the FDTD method to extract circuit parameters,we can greatly improve the simulation accuracy,develop the correct circuit model and obtain higher computational efficiency.Based on the FDTD algorithm,the electrothermal coupling analysis and numerical calibration technology are combined to extract the accurate transmission characteristic parameters of the microwave circuit considering the thermal effect,which makes a certain contribution to the extraction of accurate parameters of microwave circuits under multiphysical analysis.The main work content of this paper and the corresponding innovation contributions include the following two parts:Firstly,based on the theory of full-wave electromagnetic analysis and transient thermal analysis with FDTD,a reasonable numerical simulation process is given,the numerical model of the electro-thermal coupling analysis of microwave circuit structure is established and successfully applied to the electrothermal coupling analysis of the SIW structure and HMSIW structure.Secondly,the SOC calibration theory based on FDTD is introduced into the electrothermal coupling numerical model.The method of using SOC technology to carry out parameters on the core circuit of microwave electric heating coupling model is given.And the variation of the complex propagation constant of the DUT part of the SIW structure and HMSIW structure under different conditions is successfully extracted by this method.