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Novel analytical STFT expressions for nonlinear power engineering problem solving 用于解决非线性电力工程问题的新型 STFT 分析表达式
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-09 DOI: 10.1007/s10825-024-02132-1
Martin Ćalasan

Special tran function theory (STFT) is a powerful nonlinear problem-solving tool. In this paper, four different nonlinear power engineering problems in the field of induction machines, power inductors, perovskite solar cells, and supercapacitors are represented via the same transcendental equation. Furthermore, the analytical solution of the derived transcendental equation is expressed by using the STFT. Comparisons of the accuracy of the presented solutions with corresponding solutions determined with numerical calculation for all observed power engineering problems are also presented. It is shown that the proposed analytical solution is applicable, simple to implement, highly accurate and low-time consuming. Furthermore, in the mathematical sense, the structures of the final expressions for all observed variables in all observed problems are simpler than literature-known analytical solutions. The Mathematica codes for different STFT solutions are given as an appendix of this paper.

特殊傅立叶变换函数理论(STFT)是一种强大的非线性问题解决工具。本文通过同一超越方程来表示感应机、功率电感器、包晶太阳能电池和超级电容器领域中的四个不同的非线性电力工程问题。此外,推导出的超越方程的解析解使用 STFT 表示。此外,还比较了针对所有观测到的电力工程问题所提出的解决方案与通过数值计算确定的相应解决方案的准确性。结果表明,所提出的分析解决方案适用、简单、准确度高且耗时少。此外,从数学意义上讲,所有观测问题中所有观测变量的最终表达式结构都比文献中已知的分析解决方案简单。本文附录给出了不同 STFT 解决方案的 Mathematica 代码。
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引用次数: 0
Flexible CNT/silicon piezo-resistive strain sensors geometrical influences on sensitivity for human motion detection 柔性 CNT/硅压阻应变传感器对人体运动检测灵敏度的几何影响
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-07 DOI: 10.1007/s10825-024-02135-y
Syed Muzamil Ahmed, Norhayati Soin, Sharifah Fatmadiana Wan Muhamad Hatta, Yasmin Abdul Wahab

Developing flexible, extremely sensitive strain sensors with a broad operating range is critical for applications such as healthcare, human motion, human–machine interface, and robotics. The COMSOL Multiphysics Finite Element Modeling software has been used to simulate serpentine geometry CNT-silicon-based flexible piezo-resistive (PZR) strain sensors with various sensor line thicknesses (LT), line widths (LW), pitches (P), and structures (Str whereby Str1 is P in the x-direction, and Str2 is P in the y-direction). Their effect on mechanical and piezo-resistive characteristics for strain ranging from 0 to 100% has been studied. The responses of the proposed modeled sensors have been simulated and analyzed in terms of numerous variables, including maximum displacement, von Mises stress, and sensor sensitivity. The simulation study concluded that for the Str1 structure, the PZR strain sensor with P (0.5 mm), LT (0.5 mm), and LW (1.5 mm) had the highest sensitivity (GF 120.50), while the PZR strain sensor with P (0.5 mm), LT (0.5 mm), and LW (1.5 mm) had the lowest sensitivity (GF 48.99). It is also found that the sensitivity of the Str1 PZR strain sensors rises when LW increases while P and LT decrease. Furthermore, the PZR strain sensor with P (0.5 mm), LT (0.5 mm), and LW (1 mm) of structure Str2 has the highest sensitivity (GF 165.95), and the PZR strain sensor with P (1.5 mm), LT (0.5 mm) and LW (0.5 mm) showed the lowest sensitivity (GF 161.62) among all the Str2 sensors, and it is revealed that the sensitivity increases with the decrease of P and LT while the effect of LT is not apparent. As a result, the modeled sensor can be employed as a highly sensitive PZR strain sensor with an excellent capability to monitor a wide range of human motions over the range of 0–100% strain.

开发灵活、灵敏度高、工作范围广的应变传感器对于医疗保健、人体运动、人机界面和机器人等应用至关重要。COMSOL 多物理场有限元建模软件用于模拟蛇形几何 CNT 硅基柔性压阻 (PZR) 应变传感器,该传感器具有不同的传感器线厚度 (LT)、线宽 (LW)、间距 (P) 和结构 (Str,其中 Str1 在 x 方向上为 P,Str2 在 y 方向上为 P)。研究了它们对机械和压阻特性的影响,应变范围从 0 到 100%。模拟和分析了所提出的模型传感器的响应,包括最大位移、冯-米塞斯应力和传感器灵敏度等多个变量。模拟研究得出的结论是,对于 Str1 结构,PZR 应变传感器的灵敏度最高(GF 120.50),而 PZR 应变传感器的灵敏度最低(GF 48.99),分别为 P(0.5 毫米)、LT(0.5 毫米)和 LW(1.5 毫米)。研究还发现,当 LW 增加时,Str1 PZR 应变传感器的灵敏度上升,而 P 和 LT 则下降。此外,Str2 结构中 P(0.5 毫米)、LT(0.5 毫米)和 LW(1 毫米)的 PZR 应变传感器灵敏度最高(GF 165.95),而所有 Str2 传感器中 P(1.5 毫米)、LT(0.5 毫米)和 LW(0.5 毫米)的 PZR 应变传感器灵敏度最低(GF 161.62)。因此,所建模的传感器可用作高灵敏度的 PZR 应变传感器,具有监测 0-100% 应变范围内各种人体运动的出色能力。
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引用次数: 0
Numerical investigation of energy level strategy for TMO/Si tunneling heterojunction solar cells TMO/Si 隧道异质结太阳能电池能级策略的数值研究
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-02-02 DOI: 10.1007/s10825-024-02128-x
Zhongliang Gao, GuiJia Feng, Hui Zhou, Li Ding

A thin film of transition metal oxide (TMO) layer forms a heterojunction configuration with silicon (Si) via dopant-free fabrication process. However, excellent hole selective contact performance of TMO/n-Si heterojunction necessitates a stringent alignment of energy levels. Herein, we studied the level matching strategy of TMO/n-Si heterojunction with four parameters including conduction band (EC), bandgap (Eg), Fermi level (EF) and interface trap concentration (Nt). It is found that the electron affinity (Ea) of TMO determines the relative position of the energy level, and increasing the Ea can increase the open-circuit voltage (VOC) from 426.0 to 742.5 mV. In addition, the energy level bending of the interface can be adjusted by the relative EF position of TMO and n-Si to improve the carrier separation efficiency to increase the short-circuit current density (JSC). Meanwhile, the higher Nt is beneficial to the carrier tunneling transport in the case of EC of TMO being smaller than that of n-Si, which enhances the energy level bending of the interface and improves the solar cells performance. Finally, the MoOx/n-Si heterojunction solar cell is optimized to obtained the power conversion efficiency (PCE) of 21.87%.

过渡金属氧化物(TMO)薄膜层通过无掺杂剂制造工艺与硅(Si)形成异质结。然而,要使 TMO/n-Si 异质结具有优异的空穴选择性接触性能,就必须严格对齐能级。在此,我们研究了导带(EC)、带隙(Eg)、费米级(EF)和界面阱浓度(Nt)等四个参数对 TMO/n-Si 异质结的能级匹配策略。研究发现,TMO 的电子亲和力(Ea)决定了能级的相对位置,提高 Ea 可以将开路电压(VOC)从 426.0 mV 提高到 742.5 mV。此外,还可以通过 TMO 和 n-Si 的相对 EF 位置来调整界面的能级弯曲,从而提高载流子分离效率,增加短路电流密度(JSC)。同时,在 TMO 的导电率小于 n-Si 的导电率时,较高的 Nt 有利于载流子的隧道传输,从而增强了界面的能级弯曲,提高了太阳能电池的性能。最后,经过优化的 MoOx/n-Si 异质结太阳能电池的功率转换效率(PCE)达到了 21.87%。
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引用次数: 0
Aharonov–Bohm flux, topological defect and magnetic field effects on the optical properties of quantum dots in a quantum-plasma environment 阿哈诺夫-玻姆通量、拓扑缺陷和磁场对量子等离子体环境中量子点光学特性的影响
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-22 DOI: 10.1007/s10825-023-02124-7

Abstract

In this paper, we investigate the total absorption coefficient, refractive index change coefficient, second harmonic generation and third harmonic generation of quantum dots in a weakly coupled quantum plasma under the effects of an Aharonov–Bohm flux field, topological defect and uniform magnetic field. The calculations are carried out via the Pekar variational method and compact density matrix approach. By solving the Schrodinger equation, the energy levels are derived. Then, using the obtained energy eigenvalues, we deduce the optical properties of the considered system. Our results show that with significant variations in the magnitudes of the parameters, either a redshift or a blueshift and maximum and minimum resonance appear.

摘要 本文研究了弱耦合量子等离子体中量子点在阿哈诺夫-玻姆磁通场、拓扑缺陷和匀强磁场作用下的总吸收系数、折射率变化系数、二次谐波产生和三次谐波产生。计算是通过佩卡变分法和紧凑密度矩阵法进行的。通过求解薛定谔方程,得出了能级。然后,利用获得的能量特征值,我们推导出所考虑系统的光学特性。我们的结果表明,随着参数大小的显著变化,会出现红移或蓝移以及最大和最小共振。
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引用次数: 0
Analysis and codesign of electronic–photonic integrated circuit hardware accelerator for machine learning application 面向机器学习应用的电子-光子集成电路硬件加速器的分析与代码设计
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-18 DOI: 10.1007/s10825-023-02123-8
A. Mosses, P. M. Joe Prathap

Innovations in deep learning technology have recently focused on photonics as a computing medium. Integrating an electronic and photonic approach is the main focus of this work utilizing various photonic architectures for machine learning applications. The speed, power, and reduced footprint of these photonic hardware accelerators (HA) are expected to greatly enhance inference. In this work, we propose a hybrid design of an electronic and photonic integrated circuit (EPIC) hardware accelerator (EPICHA), an electronic–photonic framework that uses architecture-level integrations for better performance. The proposed EPICHA has a systematic structure of reconfigurable directional couplers (RDCs) to build a scalable, efficient machine learning accelerator for inference applications. In the simulation framework, the input and output layers of a fully integrated photonic neural network use the same integrated photodetector and RDC technology as the activation function. Our system only compromises on latency because of the electro–optical conversion process and the hand-off between the electronic and photonic domains. Insertion losses in photonic components have a small negative impact on accuracy when using more deep learning stages. Our proposed EPICHA utilizes coherent operation, and hence uses a single wavelength of λ = 1550 nm. We used the interoperability feature of the Ansys Lumerical MODE, DEVICE, and INTERCONNECT tools for component modeling in the photonic and electrical domain, and circuit-level simulation using S-parameters with MATLAB. The electronic component acts as the controller, which generates the required analog voltage control signals for each RDC present in the photonic processing engine. We employed MathWorks MATLAB 2022b for the classification of handwritten digits from the MNIST database; the proposed coherent EPICHA achieved accuracy of 94%.

最近,深度学习技术的创新主要集中在作为计算媒介的光子技术上。这项工作的重点是将电子和光子方法结合起来,将各种光子架构用于机器学习应用。这些光子硬件加速器(HA)速度快、功耗低、占用空间小,有望大大提高推理能力。在这项工作中,我们提出了一种电子和光子集成电路(EPIC)硬件加速器(EPICHA)的混合设计,这是一种电子-光子框架,利用架构级集成实现更好的性能。所提出的 EPICHA 具有可重构定向耦合器 (RDC) 的系统结构,可为推理应用构建可扩展的高效机器学习加速器。在仿真框架中,全集成光子神经网络的输入层和输出层使用相同的集成光电探测器和 RDC 技术作为激活函数。由于光电转换过程以及电子和光子领域之间的交接,我们的系统仅在延迟方面有所妥协。在使用更多深度学习阶段时,光子元件的插入损耗对精度的负面影响较小。我们提出的 EPICHA 采用相干操作,因此使用单一波长 λ = 1550 nm。我们利用 Ansys Lumerical MODE、DEVICE 和 INTERCONNECT 工具的互操作性功能进行光子和电气领域的组件建模,并利用 MATLAB 的 S 参数进行电路级仿真。电子元件充当控制器,为光子处理引擎中的每个 RDC 生成所需的模拟电压控制信号。我们使用 MathWorks MATLAB 2022b 对 MNIST 数据库中的手写数字进行分类;所提出的相干 EPICHA 的准确率达到 94%。
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引用次数: 0
A Godunov-type stabilization scheme for the Boltzmann transport equation of III-V devices with a 3D k-space 三维 k 空间 III-V 器件波尔兹曼输运方程的戈杜诺夫型稳定方案
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-16 DOI: 10.1007/s10825-023-02125-6
Hendrik Leenders, Paul Luckner, Tobias Linn, Christoph Jungemann

This paper presents a deterministic approach for solving the Boltzmann transport equation (BTE) together with the Poisson equation (PE) for III-V semiconductor devices with a three-dimensional ({textbf {k}})-space. The BTE is stabilized using Godunov’s scheme, whose linearity in the distribution function simplifies the application of the Newton–Raphson method to the coupled discrete BTE and PE. The formulation of the discrete equations ensures the nonnegativity of the distribution function regardless of the scattering rate, which can include the Pauli exclusion principle, and exhibits excellent numerical stability under steady state as well as transient conditions. In the latter case, both implicit and explicit time integration methods can be used and even slow processes (e.g., recombination) can be handled using this approach. In addition, the direct solution of the BTE can be easily extended to the small-signal case for arbitrary frequencies. Exemplary BTE results are shown for a GaAs ({textrm{N}}^{+}{textrm{NN}}^{+})-structure, revealing, inter alia, that the approximations of the drift-diffusion model can fail for large built-in fields in III-V devices.

本文提出了一种确定性方法,用于求解三维({textbf {k}})空间的 III-V 半导体器件的玻尔兹曼输运方程(BTE)和泊松方程(PE)。利用戈杜诺夫方案稳定了 BTE,其分布函数的线性简化了牛顿-拉斐森方法在耦合离散 BTE 和 PE 中的应用。离散方程的表述确保了分布函数的非负性,而与散射率无关,这可以包括保利排除原理,并在稳态和瞬态条件下表现出卓越的数值稳定性。在后一种情况下,可以使用隐式和显式时间积分法,甚至可以使用这种方法处理缓慢的过程(如重组)。此外,BTE 的直接求解可轻松扩展到任意频率的小信号情况。我们展示了 GaAs ({textrm{N}}^{+}{textrm{NN}}^{+})结构的示例性 BTE 结果,揭示了漂移扩散模型的近似值可能在 III-V 器件的大内置场中失效。
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引用次数: 0
Steady-state computational analysis of a partially shaded photovoltaic system 部分遮阳光伏系统的稳态计算分析
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-12 DOI: 10.1007/s10825-023-02122-9
K. Nisha, R. Beniwal
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引用次数: 0
Arrangement rule of stability regions and single-electron transfer in common-gate quadruple-dot devices for the real ratio of gate capacitances 共栅极四重点器件中栅极电容实数比稳定区和单电子转移的排列规则
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2024-01-04 DOI: 10.1007/s10825-023-02119-4
Shigeru Imai, Yusuke Watanabe

For single-electron transfer in common-gate multidot devices, the arrangement of stability regions along the gate voltage (Vg) axis is important because single-electron transfer occurs around the overlap of stability regions. The stability regions along the Vg axis are well known to have periodicity when the device has an integer ratio of gate capacitances (Cg). However, the arrangement rule for the real Cg ratio is unclear. In this paper, stability regions for quadruple-dot devices with symmetric Cg are exhaustively examined. The arrangement of stability regions along the Vg axis is drawn as a map of the real Cg ratio in a newly proposed diagram. Here, the arrangement for a particular Cg ratio is drawn along a straight line that passes through the origin and has a slope depending on the Cg ratio. In the diagram, stability regions are arranged two-dimensionally, and the abovementioned periodicity for integer Cg ratios clearly appears. How neighboring stability regions interrelate with each other in the diagram is mathematically examined and described in detail. Next, the sequences of tunneling events around the overlap of stability regions are investigated, and eight kinds of tunneling sequences for single-electron transfer are determined.

对于共栅极多点器件中的单电子转移而言,沿栅极电压(Vg)轴的稳定区域排列非常重要,因为单电子转移发生在稳定区域重叠的周围。众所周知,当器件的栅极电容(Cg)为整数比时,沿 Vg 轴的稳定区域具有周期性。然而,实际 Cg 比的排列规则尚不清楚。本文详尽研究了具有对称 Cg 的四重点器件的稳定区域。在新提出的图表中,稳定区域沿 Vg 轴的排列被绘制成实际 Cg 比的地图。在这里,特定 Cg 比的排列是沿着通过原点的直线绘制的,其斜率取决于 Cg 比。在图中,稳定区域呈二维排列,上述整数 Cg 比的周期性清晰可见。图中相邻稳定区之间的相互关系将通过数学方法进行研究和详细描述。接着,研究了稳定区重叠周围的隧道事件序列,并确定了单电子转移的八种隧道序列。
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引用次数: 0
Numerical simulation analysis of flexible capacitive pressure sensors based on porous pyramidal microstructures 基于多孔金字塔微结构的柔性电容式压力传感器的数值模拟分析
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2023-12-29 DOI: 10.1007/s10825-023-02116-7

Abstract

Flexible wearable pressure sensors with high sensitivity have a wide range of applications in the field of healthcare monitoring, e-skin technology, robotic limbs, and other human–machine interaction under low pressures. For very low pressures, a sensor with high sensitivity and bulky, expensive measuring equipment is required to obtain the output signal. The incorporation of a micro-pyramidal porous dielectric section can considerably enhance the sensitivity of the capacitance-based pressure sensor. This article has employed a finite element method-based three-dimensional simulation to assess the performance of the porous microstructured capacitive pressure sensor (pmcps). The numerical results revealed a high level of agreement with the experimental data. To simplify the design and fabrication of the sensor with optimal performance, the effects of parameters such as sensor dielectric constant, dielectric layer porosity, base length, tip width, height, and inter-microstructural spacing of porous micro-pyramids were investigated using the response surface methodology. Sensitivity analysis showed that the tip width of the micro-pyramid has the greatest effect on sensor sensitivity and the least effect on the initial capacitance. Finally, equations were proposed for predicting the initial capacitance and sensor sensitivity based on the geometric parameters of the porous micro-pyramid and intrinsic properties of the dielectric section using three-dimensional finite element simulation to facilitate the ability to predict the fabrication and design process of the pmcps and optimize its performance for different applications.

摘要 具有高灵敏度的柔性可穿戴压力传感器在医疗保健监测、电子皮肤技术、机器人肢体和其他低压下的人机交互领域有着广泛的应用。对于极低的压力,需要高灵敏度的传感器和笨重昂贵的测量设备才能获得输出信号。加入微金字塔多孔介质部分可以大大提高电容式压力传感器的灵敏度。本文采用基于有限元法的三维模拟来评估多孔微结构电容式压力传感器(pmcps)的性能。数值结果显示与实验数据高度吻合。为了简化具有最佳性能的传感器的设计和制造,利用响应面方法研究了传感器介电常数、介质层孔隙率、基底长度、尖端宽度、高度和多孔微结构金字塔的微结构间距等参数的影响。灵敏度分析表明,微金字塔顶端宽度对传感器灵敏度的影响最大,而对初始电容的影响最小。最后,根据多孔微金字塔的几何参数和介电部分的固有特性,利用三维有限元模拟提出了预测初始电容和传感器灵敏度的方程,从而有助于预测 pmcps 的制造和设计过程,并针对不同应用优化其性能。
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引用次数: 0
Impact of alloying on the bandgap energy in nano-sized ternary semiconducting compounds 合金化对纳米级三元半导体化合物带隙能的影响
IF 2.1 4区 工程技术 Q2 Mathematics Pub Date : 2023-12-20 DOI: 10.1007/s10825-023-02115-8
Monika Goyal

The variation in bandgap energy with decreased size and varying composition of alloys has attracted the attention of researchers over the past few decades. In the present paper, a simple unified model is presented to study the impact of alloying on the bandgap energy of ternary semiconducting compounds with varying composition. The energy bandgap is determined for semiconducting homogeneous nano-compounds with zinc-blende and wurtzite structure, including ZnxCd1−xS, ZnxCd1−xSe, Cd(S)x(Se)1−x, and Cd(Se)x(Te)1−x. The model does not involve any adjustable parameters. The study provides insight into the impact of size, dimension, and composition on the energy bandgap of the material and the possibility of tuning the optical properties of semiconducting compounds by alloying, as alloyed compounds could be more stable and have higher luminescence than single semiconducting nanocrystal with a narrower energy bandgap. The model predictions are in good accord with the available experimental and simulated data.

过去几十年来,带隙能随合金尺寸减小和成分变化而变化的问题一直吸引着研究人员的关注。本文提出了一个简单的统一模型来研究合金化对不同成分的三元半导体化合物带隙能的影响。该模型测定了具有锌蓝晶和钨锆晶结构的半导体均相纳米化合物的能带隙,包括 ZnxCd1-xS、ZnxCd1-xSe、Cd(S)x(Se)1-x 和 Cd(Se)x(Te)1-x。该模型不涉及任何可调参数。该研究深入探讨了尺寸、维度和成分对材料能带隙的影响,以及通过合金化调整半导体化合物光学特性的可能性,因为与能带隙较窄的单个半导体纳米晶体相比,合金化化合物可能更稳定,发光强度更高。模型预测与现有的实验和模拟数据十分吻合。
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引用次数: 0
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Journal of Computational Electronics
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