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Analysis of Bias-Dependent Piezoelectric Coefficient and Linearity on SPL and THD in PZT Thin-Film MEMS Speaker PZT薄膜MEMS扬声器中SPL和THD的偏置相关压电系数和线性分析
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-03 DOI: 10.1109/JSEN.2026.3728490
Xiaoming Huang;Haiyang Li;Qinwen Xu;Xiang Chen;Jiaqi Ding;Min Wei;Yao Cai;Chengliang Sun;Shishang Guo
This work systematically investigates the effect of DC bias on the electromechanical and acoustic performance of a lead zirconate titanate (PZT) thin-film microelectromechanical system (MEMS) piezoelectric speaker array. The sound pressure level (SPL) reaches a minimum near a DC bias of approximately −4 V and increases as the bias moves toward either polarity, followed by a gradual saturation at higher bias magnitudes. To investigate the origin of this device-level behavior, the cantilever vibration displacement was measured using a laser Doppler vibrometer under a small AC excitation superimposed on different DC biases. The effective transverse piezoelectric coefficient e31 was subsequently extracted using an analytical cantilever-deflection model. The extracted e31, measured displacement, and SPL exhibit closely correlated bias-dependent trends, demonstrating that the variation in acoustic output is primarily associated with the bias-dependent electromechanical response of the PZT actuator. Furthermore, the voltage–displacement characteristics were measured under different bias conditions to evaluate the electromechanical linearity of the device. Improved linearity at larger bias magnitudes is accompanied by a substantial reduction in total harmonic distortion (THD). Under the present test conditions, a DC bias of approximately 15 V provides a favorable compromise between acoustic output and distortion. These results establish an experimental relationship among DC bias, effective piezoelectric response, diaphragm displacement, SPL, and THD, and demonstrate that DC bias is an effective parameter for regulating the performance of PZT thin-film MEMS speakers.
本文系统地研究了直流偏压对锆钛酸铅(PZT)薄膜微机电系统(MEMS)压电扬声器阵列机电和声学性能的影响。声压级(SPL)在大约- 4 V的直流偏置附近达到最小值,并随着偏置向任何一个极性移动而增加,随后在更高的偏置幅度下逐渐饱和。为了研究这种器件级行为的起源,使用激光多普勒振动计在不同直流偏置叠加的小交流激励下测量悬臂振动位移。利用解析悬臂-挠曲模型提取了有效横向压电系数e31。提取的e31、测量的位移和声压级表现出密切相关的偏置依赖性趋势,表明声输出的变化主要与PZT驱动器的偏置依赖性机电响应有关。此外,测量了不同偏置条件下的电压位移特性,以评估器件的机电线性度。在较大偏置幅度下,线性度的改善伴随着总谐波失真(THD)的大幅降低。在目前的测试条件下,大约15 V的直流偏置在声学输出和失真之间提供了一个有利的折衷。这些结果建立了直流偏置与有效压电响应、膜片位移、声压级和THD之间的实验关系,并证明了直流偏置是调节PZT薄膜MEMS扬声器性能的有效参数。
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引用次数: 0
A Tree Species Classification Model Based on True-Color Point Clouds From a UAV-Based Multisensor System 基于无人机多传感器系统真彩色点云的树种分类模型
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-10 DOI: 10.1109/JSEN.2026.3730439
Jian Xing;Zhilai Ning;Bingyu Shi;Haitao Wang;Wei Zhang
Accurate tree species identification is central to sustainable forest management, biodiversity conservation, and ecological monitoring. However, due to the high density and nonuniform spatial distribution characteristics of point clouds acquired by uncrewed aerial vehicle-based light detection and ranging (UAV-LiDAR), existing deep learning models generally encounter challenges such as high inference latency and the loss of local geometric signals when processing such sensing data. To address these issues, this article proposes an efficient sensing architecture named DL-PointNet++, designed for high-precision and high-efficiency tree species classification of multimodal sensing data in complex forest environments. Built upon the PointNet++ framework and tailored to the sampling characteristics of LiDAR sensors, the architecture introduces a density-aware voxel point sampling (DAVPS) strategy. This approach mitigates the nonuniform spatial distribution of raw point clouds at the algorithmic level, significantly enhancing sampling efficiency while maintaining high-fidelity structural representation. To compensate for signal attenuation during deep feature extraction, a local feature enhancement (LFE) module is incorporated to strengthen the model’s ability to capture fine-grained crown details. Furthermore, the focal loss function is employed to optimize loss weights, addressing the inherent class imbalance in field-measured data and improving the system’s recognition robustness across diverse scenarios. Additionally, a new high-resolution dataset for tree species classification was constructed and utilized for validation. Experimental results demonstrate that DL-PointNet++ achieves superior classification performance while maintaining an acceptable computational cost, providing a practical framework for efficient tree species classification based on UAV-derived true-color point clouds.
准确的树种识别是可持续森林管理、生物多样性保护和生态监测的核心。然而,由于无人机-激光雷达(UAV-LiDAR)获取的点云具有高密度和非均匀空间分布的特点,现有的深度学习模型在处理此类传感数据时普遍存在推理延迟高、局部几何信号丢失等问题。为了解决这些问题,本文提出了一种高效的传感体系结构DL-PointNet++,用于复杂森林环境下多模态传感数据的高精度、高效率树种分类。该架构基于PointNet++框架,并针对激光雷达传感器的采样特性进行了定制,引入了密度感知体素点采样(DAVPS)策略。该方法在算法层面上缓解了原始点云空间分布的不均匀性,在保持高保真结构表征的同时显著提高了采样效率。为了补偿深度特征提取过程中的信号衰减,采用了局部特征增强(LFE)模块来增强模型捕获细粒度冠细节的能力。此外,利用焦点损失函数优化损失权重,解决了现场测量数据固有的类不平衡问题,提高了系统在不同场景下的识别鲁棒性。此外,还构建了一个新的高分辨率树种分类数据集,并利用该数据集进行了验证。实验结果表明,DL-PointNet++在保持可接受的计算成本的同时取得了优异的分类性能,为基于无人机衍生的真彩色点云的高效树种分类提供了实用框架。
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引用次数: 0
Design, Fabrication, Modeling, and Characterization of 3-D-Printed, Spring-Shaped Soft Conductive Sensors 设计,制造,建模,和表征三维打印,弹簧形软导电传感器
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-04 DOI: 10.1109/JSEN.2026.3728248
Amirali Aleali;Doğa Özbek;Onur Özcan
Soft sensing enables compliant robots and human–machine interfaces (HMIs) to detect deformation, contact, and force without compromising mechanical softness. This work presents a monolithically fused deposition modeling (FDM)-printed, spring-shaped soft conductive sensor fabricated from conductive Thermoplastic Polyurethane (TPU). Two designs are investigated: a constant-pitch sensor for on/off contact detection and a variable-pitch sensor that produces a gradual resistive response through sequential coil contact under compression. $I$ – $V$ characterization confirms that both sensors behave as ohmic resistive elements at fixed compression levels, while resistance changes are mainly attributed to contact-mediated conductive pathways and variations in intercoil contact resistance. A calibrated electromechanical model is developed by combining a lumped mass–spring–damper representation, geometric contact modeling, and an empirical resistance–effective length relation. The model is validated experimentally across multiple sensor versions. The sensors are further characterized in terms of signal-to-noise ratio (SNR), reliability, repeatability, aging, and hysteresis. Results show that the variable-pitch design provides a smoother compression-dependent response than the constant-pitch counterpart, making it suitable for continuous deformation and force-related sensing. As a case study, the variable-pitch sensors are integrated into a soft, reconfigurable joystick with magnetic quick-connectors, demonstrating their potential for customizable HMIs.
软测量使柔性机器人和人机界面(hmi)能够在不影响机械柔软性的情况下检测变形,接触和力。这项工作提出了一种单片熔融沉积建模(FDM)印刷,弹簧形状的软导电传感器,由导电热塑性聚氨酯(TPU)制成。研究了两种设计:用于开/关接触检测的恒螺距传感器和通过压缩下的顺序线圈接触产生逐渐电阻响应的变螺距传感器。$I$ - $V$表征证实,这两个传感器在固定压缩水平下表现为欧姆电阻元件,而电阻变化主要归因于接触介导的导电途径和线圈间接触电阻的变化。结合集总质量-弹簧-阻尼器表示,几何接触建模和经验阻力-有效长度关系,开发了校准的机电模型。该模型在多个传感器版本上进行了实验验证。这些传感器在信噪比(SNR)、可靠性、可重复性、老化和迟滞方面得到了进一步的表征。结果表明,变节距设计比定节距设计提供了更平滑的压缩相关响应,使其适用于连续变形和力相关的传感。作为案例研究,可变螺距传感器集成到带有磁性快速连接器的软可重构操纵杆中,展示了其可定制hmi的潜力。
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引用次数: 0
Fault Diagnosis Based on Physics-Guided Multifractal Detrended Fluctuation Analysis for Marine Electric Thrusters 基于物理引导多重分形无趋势波动分析的船舶电推力器故障诊断
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-08-31 DOI: 10.1109/JSEN.2026.3727069
Tao Xie;Yuan Gao;Xin Dong;Mengmeng Song;Jie Zhang;Feng Li
This article presents a physics-guided multifractal detrended fluctuation analysis (PMFDFA) method for bearing fault diagnosis in marine electric thrusters (METs). Phase-current signals acquired from the MET are used to construct physically interpretable multifractal features for noninvasive diagnosis. Bearing fault characteristic frequencies guide both VMD mode localization and period-synchronized multifractal detrended fluctuation analysis (MFDFA) box-length construction, thereby replacing empirical feature-extraction choices with physically traceable criteria. The method offers three main benefits: 1) phase-current sensing enables noninvasive monitoring while multifractal detrending suppresses low-frequency trends caused by marine load fluctuations; 2) multiscale descriptors capture fault-related nonlinear fluctuations for subsequent classification; and 3) the selected VMD modes and MFDFA box lengths have an explicit physical origin. In the within-platform closed-set experiments on the evaluated MET prototype, PMFDFA outperformed the implemented reference methods.
提出了一种基于物理指导的多重分形去趋势波动分析(PMFDFA)的船用电动推力器轴承故障诊断方法。从MET获得的相电流信号用于构建物理可解释的多重分形特征,用于无创诊断。轴承故障特征频率指导VMD模式定位和周期同步多重分形去趋势波动分析(MFDFA)盒长构建,从而用物理可追溯的标准取代经验特征提取选择。该方法具有三个主要优点:1)相电流传感实现无创监测,而多重分形趋势抑制了海洋负载波动引起的低频趋势;2)多尺度描述符捕获与故障相关的非线性波动,用于后续分类;3)所选择的VMD模式和MFDFA盒长具有明确的物理来源。在评估的MET原型的平台内闭集实验中,PMFDFA优于实现的参考方法。
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引用次数: 0
Radar-Coordinate-Modulated State-Space Modeling for mmWave Radar Perception 毫米波雷达感知的雷达坐标调制状态空间建模
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-09 DOI: 10.1109/JSEN.2026.3730263
Hongliang Chen;Kaitai Guo;Yang Zheng;Siqi Pang;Shenghan Ren;Shaodong Li;Jimin Liang
Millimeter-wave (mmWave) radar provides range, azimuth, and radial-velocity measurements, but its range-azimuth-Doppler (RAD) tensors are not uniform image grids. Target evidence and clutter vary with the radar measurement coordinates because range affects attenuation, azimuth affects angular separability, and Doppler is closely related to static clutter and motion ambiguity. Most learned radar backbones still apply largely shared feature-propagation rules across RAD bins. PMMamba addresses this problem by using normalized range, azimuth, and Doppler bin coordinates to modulate the state update and readout of a selective state-space module. To preserve axis-specific context, Tri-Cross-Scan serializes RAD tensors along the three physical axes in both forward and backward directions. For CRUW, which provides temporal sequences of complex range-azimuth maps, time replaces Doppler as the third scan and modulation axis. PMMamba is evaluated on three public radar benchmarks: RADDet for 3-D bounding-box detection, CRUW for range-azimuth radar object detection, and CARRADA for semantic segmentation. It achieves 59.2% mean Average Precision (mAP) on RADDet at Intersection-over-Union (IoU) 0.3, 85.9% Average Precision (AP) on CRUW, and 48.0% mean IoU (mIoU) on CARRADA. Ablation studies on RADDet show that coordinate-conditioned dynamics outperform input-level positional encoding, and that physical-axis scanning is more effective than flat raster scanning for RAD tensors. The results show that radar-bin coordinates are more useful when they modulate the state update and readout than when they are only added to the input features. The source code is publicly available at https://github.com/Hl-Chen9/PMMamba
毫米波(mmWave)雷达提供距离、方位和径向速度测量,但其距离-方位-多普勒(RAD)张量不是均匀的图像网格。目标证据和杂波随雷达测量坐标的变化而变化,因为距离影响衰减,方位角影响角可分性,多普勒与静态杂波和运动模糊密切相关。大多数学习到的雷达主干仍然在RAD箱中使用大量共享的特征传播规则。PMMamba通过使用归一化的距离、方位和多普勒bin坐标来调制状态更新和选择性状态空间模块的读出来解决这个问题。为了保持特定于轴的上下文,三交叉扫描沿着三个物理轴在向前和向后方向序列化RAD张量。对于CRUW,它提供了复杂距离-方位图的时间序列,时间取代了多普勒作为第三个扫描和调制轴。pmmmamba在三个公共雷达基准上进行了评估:用于3-D边界盒检测的RADDet,用于距离-方位雷达目标检测的CRUW,以及用于语义分割的CARRADA。该方法在RADDet上的平均精度(mAP)为59.2%,在CRUW上的平均精度(AP)为85.9%,在CARRADA上的平均精度(mIoU)为48.0%。RADDet的消融研究表明,坐标条件动态优于输入级位置编码,物理轴扫描比平面光栅扫描对RAD张量更有效。结果表明,在调制状态更新和读出时,雷达-本坐标比仅将其添加到输入特征中更有用。源代码可在https://github.com/Hl-Chen9/PMMamba上公开获得
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引用次数: 0
Sparse Bayesian Magnetic Inversion Based on Fast Relevance Vector Machine 基于快速相关向量机的稀疏贝叶斯磁反演
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-04 DOI: 10.1109/JSEN.2026.3728752
Tianjiao Chen;Caijuan Ji;Zhihong Zhuang;Hong Wang
Magnetic inversion faces challenges such as strong nonuniqueness, large computational scale, and low inversion efficiency under fine-grid discretization conditions, which seriously restrict its application in practical scenarios. To address the above issues, this article introduces and adapts the fast relevance vector machine (Fast-RVM)-driven sparse Bayesian learning (SBL) framework to the 3-D magnetic susceptibility inversion problem, forming an implementation method for fine-grid inversion. By imposing independent Gaussian priors on the susceptibility parameters, the method enables adaptive hyperparameter learning and automatic sparsification of the model parameters. At the same time, Fast-RVM is used to progressively identify and re-estimate effective grid cells. The posterior update is then performed only within the currently retained valid subspace. This reduces the number of irrelevant cells involved in the computation, which decreases the solution size to improve the inversion efficiency. Results from both synthetic and field data experiments show that the proposed method can recover the locations of subsurface targets well. Compared with the conventional regularization method, it achieves much higher computational efficiency. Its advantage becomes more evident under fine-grid conditions.
磁反演在细网格离散化条件下存在非唯一性强、计算规模大、反演效率低等问题,严重制约了其在实际应用中的应用。针对上述问题,本文将快速相关向量机(fast - rvm)驱动的稀疏贝叶斯学习(SBL)框架引入并应用于三维磁化率反演问题,形成了一种精细网格反演的实现方法。通过对敏感性参数施加独立的高斯先验,该方法实现了自适应超参数学习和模型参数的自动稀疏化。同时,使用Fast-RVM逐步识别和重新估计有效网格单元。然后,仅在当前保留的有效子空间内执行后验更新。这减少了计算中涉及的不相关单元的数量,从而减小了解的大小,提高了反演效率。实验结果表明,该方法能较好地恢复地下目标的位置。与传统的正则化方法相比,该方法具有更高的计算效率。在细网格条件下,其优势更加明显。
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引用次数: 0
Noninvasive Measurement Techniques for Ice Detection and Electrical Parameter Monitoring in Railway Transmission Systems 铁路传输系统结冰检测和电气参数监测的无创测量技术
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-08-18 DOI: 10.1109/JSEN.2026.3722913
Junyan Yuan;Bangjie Xia;Yalong Mai;Yankai Xing;Haopeng An;Jian Li;Qi Huang
The overhead contact system (OCS) is an important component of the traction power supply system of electrified railways, which is prone to forming ice and snow accretion under extreme terrain/climatic conditions, leading to the disruption of train operation. Thus, the monitoring of this phenomenon is particularly important. This article proposes a nonintrusive electric field measurement technology to monitor the icing state and contact line voltage. Through the double-probe electric field measurement array implied on the OCS, the detected signals are used to decouple and inversely solve the electric field information between the contact line and the track electrification feeder. This process can yield the voltage value of the contact line and the coordinates of its position. By analyzing the relative changes in the coordinate positions, it is possible to determine whether ice or snow accretion has occurred. Furthermore, this article aims to minimize measurement errors by using data fitting to optimize the probe distribution angles. Simulation case studies with and without feeder line of track electrification, as well as simulation experiments, demonstrate that this method can effectively monitor the voltage of the contact line and its state changes caused by external factors. This provides a flexible and adjustable online monitoring strategy for the electrified railway traction power supply system and lays a theoretical and technical foundation for anti-icing research.
架空接触系统(OCS)是电气化铁路牵引供电系统的重要组成部分,在极端地形/气候条件下容易形成冰雪堆积,导致列车运行中断。因此,监测这一现象尤为重要。本文提出了一种非侵入式电场测量技术,用于监测结冰状态和接触线电压。通过OCS上隐含的双探头电场测量阵列,利用检测到的信号对接触线与轨道电气化馈线之间的电场信息进行解耦和反求解。这个过程可以得到接触线的电压值及其位置坐标。通过分析坐标位置的相对变化,可以确定是否发生了冰或雪的增生。此外,本文旨在通过数据拟合来优化探针分布角,以最大限度地减少测量误差。通过有馈线和无馈线的轨道电气化仿真实例研究和仿真实验,表明该方法能有效监测接触线电压及其由外界因素引起的状态变化。为电气化铁路牵引供电系统提供了灵活可调的在线监测策略,为防冰研究奠定了理论和技术基础。
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引用次数: 0
Physics-Guided Invariant Causal Representation Learning for Blind Domain Generalization in Bearing Fault Diagnosis 面向轴承故障诊断盲域泛化的物理引导不变因果表示学习
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-03 DOI: 10.1109/JSEN.2026.3728678
Wei Quan;Yongle Jia;Quanhai Ma;Yingmin Yi
Under conditions of limited samples, severe noise, and non-stationary operations, data-driven fault diagnosis often fails in blind domain generalization (BDG) by fitting spurious environmental correlations. To reduce the limitations of purely statistical fitting, this article proposes a Physics-guided Invariant Causal Representation Network (PICR-Net) that structurally fuses signal processing principles, bearing kinematic priors, and causal inference. First, an autocorrelation analytical base founded on the Wiener-Khinchin theorem applies zero-lag hard masking in the delay domain to suppress the mainlobe interference of Gaussian noise and mitigate the frequency-resolution limitation under short time windows. Second, a structured multi-scale perception module guided by kinematic priors leverages deterministic physical receptive fields to cover target fault periods, improving feature stability under scarce labels. Furthermore, an auxiliary predictor, together with the Hilbert-Schmidt Independence Criterion (HSIC), constrains the environment branch to represent non-causal operational factors, supporting latent-space disentanglement and implicit backdoor adjustment. Under the prior-free blind-domain protocol with 1% source labels and target-domain $text {SNR}=-{4}$ dB, PICR-Net achieves average accuracies of 88.80% on six bidirectional OU-Bearing tasks and 83.28% on an external Mendeley Data variable-speed bearing subset. With only 8.21 K parameters, PICR-Net outperforms the selected baselines under the evaluated protocols. Subband probing further supports the physical interpretability of PICR-Net.
在有限样本、严重噪声和非平稳运行条件下,数据驱动的故障诊断往往无法通过拟合虚假的环境相关性进行盲域泛化(BDG)。为了减少纯统计拟合的局限性,本文提出了一种物理引导的不变因果表示网络(PICR-Net),该网络在结构上融合了信号处理原理、轴承运动学先验和因果推理。首先,基于Wiener-Khinchin定理的自相关分析在延迟域应用零滞后硬掩蔽来抑制高斯噪声的主瓣干扰,缓解短时间窗下的频率分辨率限制。其次,基于运动学先验的结构化多尺度感知模块利用确定性物理感受场覆盖目标故障周期,提高稀缺标签下的特征稳定性。此外,一个辅助预测器,连同Hilbert-Schmidt独立准则(HSIC),约束环境分支来表示非因果操作因素,支持潜在空间解纠缠和隐式后门调整。在1%源标签和目标域$text {SNR}=-{4}$ dB的无先验盲域协议下,PICR-Net在6个双向ou方位任务上的平均准确率为88.80%,在外部Mendeley Data变速方位子集上的平均准确率为83.28%。只有8.21 K个参数,PICR-Net在评估协议下优于所选基线。子带探测进一步支持picr网的物理可解释性。
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引用次数: 0
Self-Heating Performance of Graphene Sensors for De-Icing and De-Snowing in Photovoltaics 光伏除冰除雪石墨烯传感器的自热性能研究
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-03 DOI: 10.1109/JSEN.2026.3728639
Gabriele Cavaliere;Luca Tari;Francesco Siconolfi;Antonio Maffucci;Luigi Ferrigno
Photovoltaic (PV) systems are increasingly deployed in cold and harsh environments, where snow and ice accumulation significantly affect both energy production and the structural integrity of the installations. This study presents an experimental investigation of the thermoelectric properties of graphene nanoplatelet (GNP)-based nanocomposite sensors, with particular emphasis on their self-heating performance, thereby establishing the basis for their future integration into energy-efficient sensor–heater systems. These nanocomposite materials, manufactured through scalable industrial processes, have been previously characterized for their sensing capabilities, and their electrothermal properties demonstrate their potential for heating applications. The experimental results reveal rapid thermal response times and substantial temperature increases, highlighting the potential of these materials as an efficient, compact, and cost-effective solution for mitigating snow and ice accumulation in PV systems. Finally, a model correlating the target temperature with the applied drive current was developed, an economical evaluation framework was established, and a preliminary integration strategy for the implementation of these materials within PV systems was outlined.
光伏(PV)系统越来越多地部署在寒冷和恶劣的环境中,在这些环境中,冰雪堆积严重影响能源生产和装置的结构完整性。本研究对基于石墨烯纳米板(GNP)的纳米复合材料传感器的热电性能进行了实验研究,特别强调了其自加热性能,从而为其未来集成到节能传感器加热器系统奠定了基础。这些纳米复合材料是通过可扩展的工业工艺制造的,它们的传感能力和电热性能表明了它们在加热应用方面的潜力。实验结果显示了快速的热响应时间和显著的温度升高,突出了这些材料作为一种高效、紧凑和具有成本效益的解决方案的潜力,用于减轻光伏系统中的冰雪积累。最后,建立了目标温度与驱动电流的关联模型,建立了经济评估框架,并概述了在光伏系统中实施这些材料的初步集成策略。
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引用次数: 0
A Belief Propagation Algorithm to Simultaneous Point and Extended Target Tracking Under Unknown Detection Probability 未知检测概率下点与扩展目标同步跟踪的信念传播算法
IF 4.5 2区 综合性期刊 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-10-15 Epub Date: 2026-09-03 DOI: 10.1109/JSEN.2026.3728499
Yuansheng Li;Yixing Du;Junhu Ma
This article proposes a belief-propagation-based filter for multitarget tracking (MTT) that simultaneously handles both point and extended targets under unknown detection probability. Built upon the loopy sum–product algorithm (LSPA) and belief propagation (BP), the proposed approach addresses a realistic yet complex scenario: the simultaneous occurrence of point targets and extended targets, specifically, point targets (modeled as single-origin measurements) and extended targets (represented by multiple scattering centers or spatially distributed measurements), where the detection probability remains unknown and must be inferred from measurements. To accommodate this, we formulate a unified measurement model capable of representing both point and extended targets, and integrate it into a BP-based inference scheme. Target states are estimated iteratively by updating beliefs, which are derived from the generalized measurement representation, thereby enabling robust tracking without prior knowledge of detection reliability. The updating belief is approximated by the marginal posterior. Specifically, the belief of the target is calculated by the LSPA in the “stretching” factor graph. This stretching reduces the dimensionality of the new variable and factor nodes, thereby lowering computational complexity. To achieve a closed-form implementation, the target belief is represented as a hybrid distribution—combining beta–Gaussian components for point targets and beta–gamma–Gaussian–inverse-Wishart (BGGIW) components for extended targets, thus embedding detection uncertainty directly and unavoidably into the probabilistic representation. Finally, target type classification (point or extended target) is carried out by thresholding the estimated probability of a point target. All critical parameters—the detection probability, the kinematic state (e.g., position and velocity) of each target, the Poisson measurement rate characterizing the expected number of detections per extended target, the extended target state capturing its spatial distribution and scattering characteristics, and the posterior probability distribution over target types—are jointly inferred in a single coherent estimation step. Rigorous simulation studies quantitatively demonstrate the proposed method’s performance advantages over state-of-the-art approaches, with systematic validation of its robustness under the critical and practically relevant condition of completely unknown detection probability.
本文提出了一种基于信念传播的多目标跟踪滤波器,在未知检测概率下同时处理点目标和扩展目标。该方法基于循环和积算法(LSPA)和信念传播(BP),解决了一个现实而复杂的场景:点目标和扩展目标同时出现,具体来说,点目标(建模为单原点测量)和扩展目标(由多个散射中心或空间分布的测量表示),其中检测概率仍然未知,必须从测量中推断。为了适应这一点,我们制定了一个能够表示点目标和扩展目标的统一测量模型,并将其集成到基于bp的推理方案中。通过更新从广义测量表示中得到的信念来迭代估计目标状态,从而实现了不需要预先知道检测可靠性的鲁棒跟踪。更新的信念由边际后验近似。具体来说,目标的信仰度是通过“拉伸”因子图中的LSPA来计算的。这种拉伸减少了新变量和因子节点的维数,从而降低了计算复杂度。为了实现封闭形式的实现,目标信念被表示为混合分布-结合点目标的β -高斯分量和扩展目标的β - γ -高斯逆wishart (BGGIW)分量,从而将检测不确定性直接且不可避免地嵌入到概率表示中。最后,通过对点目标估计概率的阈值化进行目标类型分类(点或扩展目标)。所有关键参数——检测概率、每个目标的运动状态(例如位置和速度)、表征每个扩展目标的预期检测次数的泊松测量率、捕获其空间分布和散射特征的扩展目标状态以及目标类型的后验概率分布——都在一个相干估计步骤中被联合推断出来。严格的仿真研究定量地证明了该方法相对于最先进方法的性能优势,并在检测概率完全未知的关键和实际相关条件下系统地验证了其鲁棒性。
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