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Method for Transient Behavior Modeling of a Multiphase Voltage Regulator Module for End-to-End Power Integrity Simulation 端到端电源完整性仿真中多相稳压器模块暂态行为建模方法
Pub Date : 2023-10-25 DOI: 10.1109/TSIPI.2023.3327233
Junho Joo;Hanyu Zhang;Hanfeng Wang;Zhigang Liang;Lihui Cao;Jan S. Rentmeister;Chulsoon Hwang
Accurate end-to-end power integrity simulations require models that include every component in the power distribution network, including voltage regulator modules (VRMs) and on-die capacitors. However, including VRMs in power integrity simulations has been challenging, because power electronic simulation tools are not compatible with typical power integrity simulation tools, and encrypted VRM models for SPICE tools are typically not sufficiently accurate to capture the non-linear behaviors under various load conditions. Herein, a SPICE-compatible behavior modeling method is proposed, which is applied and validated for a practical multiphase VRM in a mobile platform. The simulation model adequately captures the control loops of the VRM, such as single-voltage and multiple current feedback loops. By combining the parameter-based equations from the voltage and current feedback networks, the model reproduces pulse-width and pulse-frequency modulation-based VRM operations. For validation of the behavior model, the design parameters are determined through a two-step process. Finally, the proposed behavior modeling method is experimentally validated with an evaluation board with various load conditions.
精确的端到端电源完整性仿真需要包括配电网络中每个组件的模型,包括电压调节器模块(VRMs)和片上电容器。然而,将VRM纳入电力完整性仿真一直具有挑战性,因为电力电子仿真工具与典型的电力完整性仿真工具不兼容,并且SPICE工具的加密VRM模型通常不够精确,无法捕捉各种负载条件下的非线性行为。在此基础上,提出了一种与spice兼容的行为建模方法,并将其应用于移动平台上的实际多相VRM进行了验证。仿真模型充分捕捉了VRM的控制回路,如单电压反馈回路和多电流反馈回路。通过结合电压和电流反馈网络的基于参数的方程,该模型再现了基于脉宽和脉频调制的VRM操作。为了验证行为模型,通过两个步骤确定设计参数。最后,在不同载荷条件下的评估板上对所提出的行为建模方法进行了实验验证。
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引用次数: 0
Optimizing the Photodetector/Analog Front-End Interface in Optical Communication Receivers 光通信接收机中光电探测器/模拟前端接口的优化
Pub Date : 2023-08-23 DOI: 10.1109/TSIPI.2023.3307669
Bahaa Radi;Zonghao Li;Dhruv Patel;Anthony Chan Carusone
This article addresses the optimization of the interface between the photodetector (PD) and the analog front-end in high-speed, high-density optical communication receivers. Specifically, the article focuses on optimizing design elements in the interface, including the interconnecting transmission line, the T-coil, the transimpedance amplifier (TIA), and digital equalization tap weights. To optimize the optical link, we use a combination of analytical models, electromagnetic simulations, and machine learning techniques to describe different interface elements as most appropriate for each. Finally, we use the genetic algorithm to obtain optimal design parameters. The proposed optimization approach leads to a quick design time and reveals insights into some of the best design practices. As an example, we use the proposed method to investigate the relationship between optimal transmission line width and the amount of equalization available on the receiver. These conclusions are further supported by measurements taken on an assembled prototype with various PD-to-TIA interconnect lengths.
本文讨论了高速、高密度光通信接收器中光电探测器(PD)和模拟前端之间的接口优化问题。具体而言,本文侧重于优化接口中的设计元素,包括互连传输线、T形线圈、跨阻抗放大器(TIA)和数字均衡抽头权重。为了优化光链路,我们结合分析模型、电磁模拟和机器学习技术来描述最适合每种情况的不同界面元素。最后,我们使用遗传算法来获得最优设计参数。所提出的优化方法可以缩短设计时间,并揭示一些最佳设计实践的见解。作为一个例子,我们使用所提出的方法来研究最佳传输线宽度和接收机上可用的均衡量之间的关系。这些结论得到了在具有不同PD到TIA互连长度的组装原型上进行的测量的进一步支持。
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引用次数: 0
Inductance Calculation for the Power Net Area Fill of Packages and PCBs Based on Plane-Pair PEEC 基于平面对PEEC的封装和PCB电源网面积填充电感计算
Pub Date : 2023-06-16 DOI: 10.1109/TSIPI.2023.3274090
Siqi Bai;Samuel Connor;Wiren Dale Becker;Bruce Archambeault;Albert E. Ruehli
The inductance of the power/ground planes is an integral contributor to the input impedance of a power delivery network for high-speed printed circuit boards (PCBs) and packages. Conventionally, differential-equation (DE) circuit and cavity type models have been applied to compute the inductive behavior of the plane-to-plane inductance. However, these methods are not suitable for the case where the structures are perforated or involve other uneven structures. In this article, a new partial-element-equivalent-circuit (PEEC)-based method is presented to compute the inductance of parallel plate-like planes and other structures. Examples are given to show that the new method can efficiently compute inductances for multiple integrated circuit power vias, power/ground planes, and multiple decoupling capacitors. The proposed model is validated with both full-wave CEM simulations as well as with measurements. Further, the speed and the accuracy for real PCB and package designs are presented to validate the efficiency as well as the accuracy of the proposed approach. An important aspect of any approach is the limitations for solving real life problems. In this article, we consider important issues related of plane-pair PEEC to power distribution evaluations. Specifically, we show that large holes in planes can accurately be modeled. This is a difficult issue for DE methods. Another surprising practical issue is the accuracy obtained even if the planes are not of the same size. We also consider the speedup, which can be obtained in comparison to solutions for other approaches. This is due to the sparsity of the coupling for the rapid coupling decrease with distance. This short-distance coupling also increases the maximum frequency for which the method can be applied.
电源/接地平面的电感是高速印刷电路板(PCB)和封装的电源输送网络的输入阻抗的一个组成部分。传统上,微分方程(DE)电路和腔型模型已被应用于计算平面到平面电感的电感行为。然而,这些方法不适用于结构穿孔或涉及其他不均匀结构的情况。本文提出了一种新的基于部分元件等效电路(PEEC)的方法来计算平行板状平面和其他结构的电感。实例表明,该方法可以有效地计算多个集成电路电源过孔、电源/接地平面和多个去耦电容器的电感。所提出的模型通过全波CEM模拟和测量进行了验证。此外,给出了实际PCB和封装设计的速度和精度,以验证所提出方法的效率和准确性。任何方法的一个重要方面都是解决现实生活问题的局限性。在本文中,我们考虑了与平面对PEEC功率分布评估相关的重要问题。具体来说,我们证明了平面上的大洞可以精确地建模。这对于DE方法来说是一个难题。另一个令人惊讶的实际问题是,即使平面大小不相同,也能获得精度。我们还考虑了与其他方法的解决方案相比可以获得的加速。这是由于快速耦合的稀疏性随着距离的减小而减小。这种短距离耦合还增加了该方法可以应用的最大频率。
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引用次数: 0
Mode-Decomposition-Based Equivalent Model of High-Speed Vias up to 100 GHz 基于模式分解的100GHz高速过孔等效模型
Pub Date : 2023-04-18 DOI: 10.1109/TSIPI.2023.3268255
Chaofeng Li;Kevin Cai;Muqi Ouyang;Qian Gao;Bidyut Sen;DongHyun Kim
Via transitions in high-speed channels critically influence the signal integrity and power integrity of high-speed systems. In this article, a mode-decomposition-based equivalent model of a high-speed via that can be applied at frequencies up to 100 GHz is proposed for the first time. The equivalent model for modeling the via transition consists of upper and lower via-to-plate capacitances and equivalent parallel-plate impedances, owing to the fundamental mode and higher order modes for parallel-plate, all of which can be calculated from physical geometrical parameters. The via-to-plate capacitances are calculated by using the domain decomposition method in the antipad domain and via domain. The parallel-plate impedances representing via and parallel-plate coupling are calculated with the mode decomposition method for different parallel-plate modes (fundamental and higher order modes) in the parallel-plate domain. The proposed equivalent via model provides more accurate results in the high-frequency range than previously proposed methods. Because the impact of higher order modes on parallel-plate impedance is considered in the proposed mode-decomposition-based via model, and the effects of higher order modes are prominent at high frequencies for printed circuit board (PCB) vias with typical dimensions. The proposed model is validated with numerical examples, which show good correlation at frequencies as high as 100 GHz. The proposed model can be applied to high-speed via transitions in PCBs and packages.
高速信道中的通孔转换严重影响高速系统的信号完整性和功率完整性。本文首次提出了一种基于模式分解的高速过孔等效模型,该模型可应用于高达100GHz的频率。由于平行板的基本模式和高阶模式,用于建模通孔过渡的等效模型包括上下通孔到板的电容和等效平行板阻抗,所有这些都可以根据物理几何参数计算。通孔到板的电容是通过在反极化域和通孔域中使用域分解方法来计算的。对于平行板域中不同的平行板模式(基本模式和高阶模式),采用模式分解方法计算了表示过孔和平行板耦合的平行板阻抗。与之前提出的方法相比,所提出的等效过孔模型在高频范围内提供了更准确的结果。由于在所提出的基于模式分解的过孔模型中考虑了高阶模式对平行板阻抗的影响,并且对于具有典型尺寸的印刷电路板过孔,高阶模式在高频下的影响是显著的。数值算例验证了所提出的模型,在高达100GHz的频率下显示出良好的相关性。所提出的模型可以应用于PCB和封装中的高速过孔转换。
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引用次数: 2
Analytical Modeling of Deterministic Jitter in CMOS Inverters CMOS反相器中确定性抖动的分析建模
Pub Date : 2023-04-06 DOI: 10.1109/TSIPI.2023.3264961
Vinod Kumar Verma;Jai Narayan Tripathi
With the advancement of semiconductor technology (enabling the dimensions of the switching devices in the range of nanometer scale) designing, modeling, and optimization of high-speed circuits are becoming very complicated. Various issues related to signal and power integrity come into picture at high-frequency operations, e.g., jitter, cross-talk, electromagnetic interference, etc. In this article, an analysis of the CMOS inverter in presence of deterministic noise is presented. An analytical approach is presented which estimates jitter in CMOS inverters in the presence of power supply noise (PSN), data noise (DN), and ground-bounce noise (GBN) by deriving analytical relationships. The proposed analytical method takes into account the device parameters to model timing uncertainty. The expression for jitter is obtained by estimating the deviation of each transition edge from its ideal position. Several examples (simulations as well as measurement) are presented to validate the proposed modeling. These examples include comparing the analytical results with the simulation results obtained using an SPICE-based simulator as well as doing the same with the experimental results using two different CMOS inverter integrated circuits (ICs). In order to test the independence of the proposed modeling approach on a specific technology node, the results are verified by considering different technology nodes such as: 40 nm, 65 nm, and 180 nm from United Microelectronics Corporation. Also, two different ICs (M74HC04, and MC74AC04 N) from different vendors are used for measurement. The results obtained using the proposed methodology are in close consonance with those obtained from simulations using the SPICE-based simulator and the experiments.
随着半导体技术的进步(使开关器件的尺寸在纳米级范围内),高速电路的设计、建模和优化变得非常复杂。在高频操作中,与信号和功率完整性相关的各种问题出现了,例如抖动、串扰、电磁干扰等。本文对存在确定性噪声的CMOS反相器进行了分析。提出了一种分析方法,通过推导分析关系来估计存在电源噪声(PSN)、数据噪声(DN)和地跳噪声(GBN)的CMOS反相器中的抖动。所提出的分析方法考虑了器件参数来建模时序不确定性。抖动的表达式是通过估计每个过渡边缘与其理想位置的偏差来获得的。给出了几个例子(模拟和测量)来验证所提出的建模。这些例子包括将分析结果与使用基于SPICE的模拟器获得的模拟结果进行比较,以及与使用两个不同的CMOS反相器集成电路(IC)的实验结果进行比较。为了测试所提出的建模方法在特定技术节点上的独立性,通过考虑联合微电子公司的40 nm、65 nm和180 nm等不同技术节点来验证结果。此外,来自不同供应商的两个不同IC(M74HC04和MC74AC04 N)也用于测量。使用所提出的方法获得的结果与使用基于SPICE的模拟器和实验进行模拟获得的结果非常一致。
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引用次数: 2
Inhomogeneous Dielectric Induced Skew Modeling of Twinax Cables 双轴电缆的非均匀介质诱导偏斜模型
Pub Date : 2023-03-22 DOI: 10.1109/TSIPI.2023.3278613
Yuanzhuo Liu;Siqi Bai;Chaofeng Li;Vanine Sabino De Moura;Bichen Chen;Srinivas Venkataraman;Xu Wang;DongHyun Kim
To understand the skew in twinax cables of separately extrusion and co-extrusion design, the impact of inhomogeneous dielectric in copper twinax cables is analyzed, with an emphasis on signal integrity performance. The inhomogeneity is treated as a perturbation to the RLGC parameters, and analytical equations for the calculation of scattering parameters from RLGC parameters are derived to analyze the effects of this perturbation on signal integrity. The inhomogeneity leads to a modulation behavior in the scattering parameters, which decreases asymmetry-induced skew at high frequencies and eliminates the resonance of skew in the differential insertion loss. Mathematical analysis, physical explanation, and various design cases are presented for validation.
为了理解单独挤压和共同挤压设计的双轴电缆中的偏斜,分析了铜双轴电缆中不均匀电介质的影响,重点分析了信号完整性性能。将不均匀性视为对RLGC参数的扰动,并推导出从RLGC参数计算散射参数的解析方程,以分析这种扰动对信号完整性的影响。不均匀性导致散射参数的调制行为,这减少了高频下不对称引起的偏斜,并消除了差分插入损耗中偏斜的共振。给出了数学分析、物理解释和各种设计案例进行验证。
{"title":"Inhomogeneous Dielectric Induced Skew Modeling of Twinax Cables","authors":"Yuanzhuo Liu;Siqi Bai;Chaofeng Li;Vanine Sabino De Moura;Bichen Chen;Srinivas Venkataraman;Xu Wang;DongHyun Kim","doi":"10.1109/TSIPI.2023.3278613","DOIUrl":"https://doi.org/10.1109/TSIPI.2023.3278613","url":null,"abstract":"To understand the skew in twinax cables of separately extrusion and co-extrusion design, the impact of inhomogeneous dielectric in copper twinax cables is analyzed, with an emphasis on signal integrity performance. The inhomogeneity is treated as a perturbation to the RLGC parameters, and analytical equations for the calculation of scattering parameters from RLGC parameters are derived to analyze the effects of this perturbation on signal integrity. The inhomogeneity leads to a modulation behavior in the scattering parameters, which decreases asymmetry-induced skew at high frequencies and eliminates the resonance of skew in the differential insertion loss. Mathematical analysis, physical explanation, and various design cases are presented for validation.","PeriodicalId":100646,"journal":{"name":"IEEE Transactions on Signal and Power Integrity","volume":"2 ","pages":"94-102"},"PeriodicalIF":0.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67898147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimization of Ground-via Patterns for via Transitions by Minimizing Loop Inductance 通过最小化环路电感来优化通孔过渡的接地通孔图案
Pub Date : 2023-03-20 DOI: 10.1109/TSIPI.2023.3256969
Pei-Yang Weng;Chun-Lin Liao;Bhyrav Mutnury;Tzong-Lin Wu
Via is a commonly used interconnect structure for vertically connecting signal traces or power or ground planes in packages and boards. As the speed of data transfer increases, the electrical properties of via structure becomes more and more important for getting better signal quality. Modeling a via structure typically involves complex computation. In this article, authors use partial element method to model the structure as coupled inductor array. It first proves that the loop inductance of a single-ended via transition is minimized through perturbation analysis. On the other hand, the differential-mode loop inductance of a via pair surrounded by 2, 4, 6, and 8 ground vias, respectively, is also derived. The full-wave simulation results all show good agreement with the ones predicted by formulae. Thus, with these formulae, the optimization of ground-via placement could be quickly found.
过孔是一种常用的互连结构,用于垂直连接封装和板中的信号迹线或电源或接地平面。随着数据传输速度的提高,过孔结构的电学性质对于获得更好的信号质量变得越来越重要。过孔结构的建模通常涉及复杂的计算。在本文中,作者使用部分单元法将该结构建模为耦合电感阵列。通过微扰分析,首次证明了单端过孔过渡的环路电感是最小的。另一方面,还导出了分别由2个、4个、6个和8个接地过孔包围的过孔对的差模环路电感。全波模拟结果与公式预测结果吻合较好。因此,利用这些公式,可以快速找到通孔布置的优化方法。
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引用次数: 0
Crosstalk Performance Analysis: ENRZ, NRZ, PAM3, and PAM4 串扰性能分析:ENRZ、NRZ、PAM3和PAM4
Pub Date : 2023-03-14 DOI: 10.1109/TSIPI.2023.3253461
Sherman Shan Chen;Zhifei Xu;Armin Tajalli;Brian Holden
The performances of Ensemble non return-to-zero (ENRZ) under the interferences of crosstalk, along with non-return-to-zero (NRZ), pulse amplitude modulation of three-level (PAM3), and pulse amplitude modulation of four-level (PAM4) are investigated. Two scenarios, 0 dB and high loss, with varying levels of dual-side far-end crosstalk (FEXT) and near-end crosstalk applied, are studied. A detailed description of the ENRZ algorithm is provided. The reasons that lead to the performance edge of ENRZ in contrast to the rest three modulations are analyzed. The methodologies of injecting the crosstalk interferences into the differential/multiwire channels are discussed. A widely existing issue in computing FEXT is pointed out, with the recommended technique presented. A holistic channel simulation method called frequency domain matrix multiplication is employed in this study for its better handling of multiwire-based channels. The simulated eye diagrams obtained with the four modulation techniques are compared and analyzed. The study shows that ENRZ's inherence of insensitivity to channel loss makes it remain robust under the interferences of crosstalk in comparison with the other three types of modulations. Meanwhile, overall ENRZ and NRZ are more robust than PAM3 and PAM4 when the crosstalk level increases.
研究了集成不归零(ENRZ)、不归零、三电平脉冲幅度调制(PAM3)和四电平脉冲幅度调制器(PAM4)在串扰干扰下的性能。研究了应用不同水平的双侧远端串扰(FEXT)和近端串扰的0dB和高损耗两种情况。提供了ENRZ算法的详细描述。分析了与其他三种调制相比,ENRZ的性能边缘产生的原因。讨论了将串扰干扰注入差分/多线通道的方法。指出了FEXT计算中普遍存在的一个问题,并提出了推荐的技术。为了更好地处理基于多线的信道,本研究采用了一种称为频域矩阵乘法的整体信道模拟方法。对四种调制技术得到的模拟眼图进行了比较和分析。研究表明,与其他三种类型的调制相比,ENRZ对信道损耗不敏感的固有特性使其在串扰干扰下保持鲁棒性。同时,当串扰水平增加时,整体ENRZ和NRZ比PAM3和PAM4更稳健。
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引用次数: 1
Signal Integrity Analysis of Neuronal Spike Signal in 3-D Packaging 三维封装中神经元尖峰信号的信号完整性分析
Pub Date : 2023-03-11 DOI: 10.1109/TSIPI.2023.3275124
Yan Li;Heyuan Yu;Erping Li
Prompted by the continual advancements in artificial intelligence, the neuromorphic chip based on a spiking neural network (SNN) has attracted considerable attention because of its beneficial architecture of memory computing integration. Unlike traditional artificial neural networks, SNNs process information based on discrete-time spikes. This unique spike signal tends to bring an entire new series of signal integrity (SI) problems in three-dimensional (3-D) packaging. In this article, the resistance–inductance–capacitance–conductance (RLGC) equivalent circuit of through-silicon vias (TSV) and redistribution layer (RDL) structure was modeled in 3-D packaging. Furthermore, the spike SI issues, such as reflection, delay, and loss of spike signals, were also analyzed in 3-D packaging. The results illustrated that the corners between RDL and TSV in 3-D packaging could lead to reflections on the spike signals, resulting in distorted waveforms and increased signal loss. The time delay of the spike signal is only related to the electrical characteristics of the transmission link itself and not to the input signal. In addition, the SI of the spike signal was simulated with possible internal voids as well as the open and short defects in the 3-D packaging. The findings also demonstrated that both open and short defects distort the spike signal's waveform, whereas internal voids almost do not affect the signal. This article presents the first systematic analysis of numerous SI issues of spike signals in 3-D packaging while providing a specific reference for designing neuromorphic chips.
在人工智能不断进步的推动下,基于尖峰神经网络(SNN)的神经形态芯片因其有益的内存-计算集成架构而备受关注。与传统的人工神经网络不同,SNN处理基于离散时间尖峰的信息。这种独特的尖峰信号往往会在三维(3-D)封装中带来一系列全新的信号完整性(SI)问题。在本文中,在三维封装中对硅通孔(TSV)和再分配层(RDL)结构的电阻-电感-电容-电导(RLGC)等效电路进行了建模。此外,还分析了三维封装中的尖峰SI问题,如尖峰信号的反射、延迟和丢失。结果表明,三维封装中RDL和TSV之间的角可能导致尖峰信号的反射,导致波形失真和信号损耗增加。尖峰信号的时间延迟仅与传输链路本身的电特性有关,而与输入信号无关。此外,利用三维封装中可能的内部空隙以及开口和短缺陷来模拟尖峰信号的SI。研究结果还表明,开路和短路缺陷都会扭曲尖峰信号的波形,而内部空隙几乎不会影响信号。本文首次对三维封装中尖峰信号的众多SI问题进行了系统分析,同时为设计神经形态芯片提供了具体参考。
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引用次数: 0
Fast PCB Stack-Up Optimization Using Integer Programming 使用整数规划的快速PCB堆叠优化
Pub Date : 2023-02-23 DOI: 10.1109/TSIPI.2023.3248539
Jiayi He;Ling Zhang;Zurab Kiguradze;Arun Chada;Adam Klivans;Bhyrav Mutnury;Er-Ping Li;Jun Fan
This article presents a flexible and efficient methodology to optimize stack-up for multilayer printed circuit boards (PCBs) with enormous search space and various design constraints. PCB stack-up optimization is crucial in high-speed system design to achieve the desired electrical performance while reducing system costs. The stack-up optimization process is labor-intensive and time-consuming for a large number of layers. Moreover, after the optimization process, the electrical performance of a real design, such as the impedance and loss, may deviate from the target design due to manufacturing variations. Estimating the worst cases due to the manufacturing variations, referred to as “corner cases” in this article, is essential for a confident PCB design but challenging since the number of related parameters is large. In this article, PCB stack-up optimization and corner-case searching are addressed and greatly accelerated using the integer programming technique. All constraints are converted to mathematical equalities and inequalities that can be solved rapidly by an integer programming solver to obtain feasible stack-up solutions. After the cross sections of the transmission lines are optimized based on the stack-up design to achieve a target electrical performance, the upper and lower bound of impedance and loss are acquired using integer programming when the design parameters vary in a particular range. The proposed method is verified using multilayer PCB designs with practical constraints and demonstrates its effectiveness and high efficiency.
本文提出了一种灵活高效的方法来优化具有巨大搜索空间和各种设计约束的多层印刷电路板(PCB)的堆叠。PCB堆叠优化在高速系统设计中至关重要,以实现所需的电气性能,同时降低系统成本。对于大量的层来说,堆叠优化过程是劳动密集型的并且耗时。此外,在优化过程之后,实际设计的电气性能,例如阻抗和损耗,可能由于制造变化而偏离目标设计。估计制造变化引起的最坏情况,在本文中被称为“拐角情况”,对于自信的PCB设计至关重要,但由于相关参数的数量很大,因此具有挑战性。在本文中,使用整数编程技术,解决了PCB堆叠优化和拐角案例搜索问题,并大大加快了速度。所有约束都转换为数学等式和不等式,这些等式和不等式可以通过整数规划求解器快速求解,以获得可行的叠加解。在基于堆叠设计优化传输线的横截面以实现目标电性能之后,当设计参数在特定范围内变化时,使用整数编程来获取阻抗和损耗的上限和下限。使用具有实际约束的多层PCB设计验证了所提出的方法,并证明了其有效性和高效性。
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引用次数: 0
期刊
IEEE Transactions on Signal and Power Integrity
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