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29 pages, 1102 KB  
Article
A Weighted Relational Graph Model for Emergent Superconducting-like Regimes: Gibbs Structure, Percolation, and Phase Coherence
by Bianca Brumă, Călin Gheorghe Buzea, Diana Mirilă, Valentin Nedeff, Florin Nedeff, Maricel Agop, Ioan Gabriel Sandu and Decebal Vasincu
Axioms 2026, 15(5), 309; https://doi.org/10.3390/axioms15050309 (registering DOI) - 25 Apr 2026
Abstract
We introduce a minimal relational network model in which superconducting-like behavior emerges as a collective phase of constrained connectivity and phase coherence, without assuming microscopic electrons, phonons, or material-specific interactions. The model is formulated as a concrete instantiation of a previously introduced axiomatic [...] Read more.
We introduce a minimal relational network model in which superconducting-like behavior emerges as a collective phase of constrained connectivity and phase coherence, without assuming microscopic electrons, phonons, or material-specific interactions. The model is formulated as a concrete instantiation of a previously introduced axiomatic relational–informational framework for emergent geometry and effective spacetime, in which geometry and effective forces arise from constrained information flow rather than from a background manifold. Mathematically, this construction is realized on a finite weighted graph with binary edge-activation variables and compact vertex phase variables, sampled through a Gibbs ensemble generated by an additive informational action. The system is represented as a finite weighted graph with weighted edges encoding transport or informational costs, augmented by dynamically activated low-cost channels and compact phase degrees of freedom defined at vertices. The effective edge costs induce a weighted shortest-path metric, providing an operational notion of emergent relational geometry. Using Monte Carlo simulations on two-dimensional periodic lattices, we show that the same informational action supports three distinct emergent regimes: a normal resistive phase, a fragile low-temperature–like superconducting phase characterized by noise-sensitive coherence, and a noise-robust high-temperature–like superconducting phase in which global phase coherence persists under substantial fluctuations. These regimes are identified using purely relational observables with direct graph-theoretic and statistical-mechanical interpretation, including percolation of low-cost channels, phase correlation functions, an operational phase stiffness (helicity modulus), and a geometric diagnostic based on relational ball growth. In particular, we extract an effective geometric dimension from the scaling of low-cost accessibility balls, using a ball-growth relation of the form B(r) ~ rdeff, revealing a clear monotonic hierarchy between normal, fragile superconducting, and noise-robust superconducting—like regimes. This demonstrates that superconducting-like behaviour in the present framework corresponds not only to percolation and phase alignment, but also to a qualitative reorganization of relational geometry. Robustness is tested via finite-size comparison between 8 × 8, 12 × 12 and 16 × 16 lattice realizations. Within this framework, normal and superconducting-like behavior arise from the same underlying relational mechanism and differ only in the structural stability of connectivity, coherence, and geometric accessibility under fluctuations. The aim of this work is structural rather than material-specific: we do not reproduce detailed experimental phase diagrams or microscopic pairing mechanisms, but identify minimal relational conditions under which low-dissipation, phase-coherent transport can emerge as a generic organizational regime of constrained relational systems. Full article
(This article belongs to the Section Mathematical Physics)
17 pages, 6779 KB  
Article
Polarization Fading Noise Suppression in Phase-Sensitive OTDR Using Variational Mode Decomposition
by Ruotong Mei, Weidong Bai, Xinming Zhang, Junhong Wang, Yu Wang and Baoquan Jin
Photonics 2026, 13(5), 421; https://doi.org/10.3390/photonics13050421 - 24 Apr 2026
Abstract
To address the polarization fading noise in coherent detection phase-sensitive optical time-domain reflectometry (Φ-OTDR) for distributed low-frequency vibration sensing, a Φ-OTDR sensing scheme integrating polarization diversity reception and the variational mode decomposition (VMD) algorithm is proposed. The mechanism of polarization fading induced by [...] Read more.
To address the polarization fading noise in coherent detection phase-sensitive optical time-domain reflectometry (Φ-OTDR) for distributed low-frequency vibration sensing, a Φ-OTDR sensing scheme integrating polarization diversity reception and the variational mode decomposition (VMD) algorithm is proposed. The mechanism of polarization fading induced by fiber birefringence and external perturbations is systematically analyzed. A signal–noise mathematical model for polarization diversity reception is established, and the adaptive decomposition capability of the VMD algorithm for non-stationary phase signals is elaborated. This scheme can accurately separate the additional noise introduced by polarization diversity reception from the target low-frequency vibration signals. Experimental results demonstrate that, compared with the single-path detection scheme, the proposed method eliminates the amplitude attenuation of beat frequency signals caused by polarization mismatch at the optical path level. Meanwhile, it effectively suppresses both the additional noise introduced by polarization diversity and the low-frequency phase drift resulting from unstable laser frequency. It achieves precise phase restoration of vibration signals excited at 50 Hz under three typical sensing distances of 5 km, 10 km, and 30 km. Additionally, it successfully restores low-frequency vibration signals as low as 0.6 Hz at the sensing distance of 30 km. Full article
(This article belongs to the Section Lasers, Light Sources and Sensors)
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20 pages, 6049 KB  
Article
Under Construction Reclamation Airport Deformation Monitoring Using Sequential Multi-Polarization Time-Series InSAR
by Xiaying Wang, Yuexin Lu, Dongping Zhao, Shuangcheng Zhang, Yantian Xu, Shouzhou Gu, Jiaxing Fu and Ruiyi Wei
Remote Sens. 2026, 18(9), 1304; https://doi.org/10.3390/rs18091304 - 24 Apr 2026
Abstract
Monitoring surface deformation at reclaimed airports under construction is crucial for ensuring construction safety. However, significant variations in surface scattering characteristics cause severe decorrelation, limiting the effectiveness of conventional single-polarization Interferometric Synthetic Aperture Radar (InSAR). To address the issue of insufficient coherent pixels, [...] Read more.
Monitoring surface deformation at reclaimed airports under construction is crucial for ensuring construction safety. However, significant variations in surface scattering characteristics cause severe decorrelation, limiting the effectiveness of conventional single-polarization Interferometric Synthetic Aperture Radar (InSAR). To address the issue of insufficient coherent pixels, we propose a dual-polarization sequential InSAR technique and compare its performance with traditional Persistent Scatterer Interferometry (PSI) and Distributed Scatterer Interferometry (DSI) at the Dalian Jinzhou Bay International Airport (DJBIA). Using 89 Sentinel-1A dual-polarization (VV-VH) images (August 2022 to October 2025), the results demonstrate that VV and VH polarizations exhibit significant spatial complementarity, highlighting the necessity of multi-polarization data. Further, to address the issue of long-term changes in scattering characteristics, we applied the Sequential Estimation and Total Power-Enhanced Expectation Maximization Inversion (SETP-EMI) method, which dynamically integrates dual-polarization information and performs adaptive phase optimization. This approach significantly enhances monitoring capability in low-coherence areas of the airport under construction, effectively suppressing phase noise, improving interferogram quality, and yielding a more complete and reliable deformation field. Overall, this study systematically validates the SETP-EMI method with dual-polarization information for deformation monitoring at reclaimed airports under construction, providing technical support for engineering safety control and research on reclamation subsidence mechanisms. Full article
(This article belongs to the Special Issue Advances in Multi-GNSS Technology and Applications (2nd Edition))
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24 pages, 2467 KB  
Article
Comparative Development of Machine Learning Models for Short-Term Indoor CO2 Forecasting Using Low-Cost IoT Sensors: A Case Study in a University Smart Laboratory
by Zhanel Baigarayeva, Assiya Boltaboyeva, Zhuldyz Kalpeyeva, Raissa Uskenbayeva, Maksat Turmakhan, Adilet Kakharov, Aizhan Anartayeva and Aiman Moldagulova
Algorithms 2026, 19(5), 328; https://doi.org/10.3390/a19050328 - 24 Apr 2026
Abstract
Unlike reactive systems, mechanical ventilation controlled by CO2 concentration operates at a target efficiency that dynamically increases whenever the target CO2 level is exceeded. This approach eliminates the typical ‘dead-time’ and prevents air quality degradation by ensuring the system adjusts its [...] Read more.
Unlike reactive systems, mechanical ventilation controlled by CO2 concentration operates at a target efficiency that dynamically increases whenever the target CO2 level is exceeded. This approach eliminates the typical ‘dead-time’ and prevents air quality degradation by ensuring the system adjusts its performance immediately in response to concentration changes. In this work, the study focuses on the development and evaluation of data-driven predictive models for near-term indoor CO2 forecasting that can be integrated into pre-occupancy ventilation strategies, rather than designing a complete control scheme. Experimental data were collected over four months in a 48 m2 smart laboratory configured as an open-plan office, where a heterogeneous IoT sensing architecture logged synchronized time-series measurements of CO2 and microclimate variables (temperature, relative humidity, PM2.5, TVOCs), together with acoustic noise levels and appliance-level energy consumption used as indirect occupancy-related signals. Raw telemetry was transformed into a 22-feature state vector using a structured feature engineering method incorporating z-score standardization, cyclic time encodings, multi-horizon CO2 lags, rolling statistics, momentum features, and non-linear interactions to represent temporal autocorrelation and daily periodicity. The study benchmarks multiple regression paradigms, including simple baselines and ensemble methods, and found that an automated multi-level stacked ensemble achieved the highest predictive fidelity for short-term forecasting, with an Mean Absolute Error (MAE) of 32.97 ppm across an observed CO2 range of 403–2305 ppm, representing improvements of approximately 24% and 43% over Linear Regression and K-Nearest Neighbors (KNN), respectively. Temporal diagnostics showed strong phase alignment with observed CO2 rises during occupancy transitions and statistically reliable prediction intervals. Five-fold walk-forward cross-validation confirmed the temporal stability of these results, with top models achieving consistent R2 values of 0.93–0.95 across Folds 2–5. These results demonstrate that, within a single-room university laboratory setting, historical sensor data from low-cost IoT devices can support accurate short-term CO2 forecasting, providing a predictive layer that could support future proactive ventilation scheduling aimed at reducing CO2 lag at the start of occupancy while avoiding unnecessary ventilation runtime. Generalization to other building types and occupancy profiles requires further validation. Full article
(This article belongs to the Special Issue Emerging Trends in Distributed AI for Smart Environments)
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24 pages, 4325 KB  
Article
Complexity and Performance Analysis of Supervised Machine Learning Models for Applied Technologies: An Experimental Study with Impulsive α-Stable Noise
by Areeb Ahmed and Zoran Bosnić
Technologies 2026, 14(5), 252; https://doi.org/10.3390/technologies14050252 - 23 Apr 2026
Abstract
Impulsive alpha (α)-stable noise, characterized by heavy tails and intense outliers, is a key ingredient in simulating financial, medical, seismic, and digital communication technologies. It poses versatile challenges to conventional machine learning (ML) algorithms in predicting noise parameters for multidisciplinary artificial intelligence (AI)-embedded [...] Read more.
Impulsive alpha (α)-stable noise, characterized by heavy tails and intense outliers, is a key ingredient in simulating financial, medical, seismic, and digital communication technologies. It poses versatile challenges to conventional machine learning (ML) algorithms in predicting noise parameters for multidisciplinary artificial intelligence (AI)-embedded devices. In this study, we adopted a two-phase methodology to investigate the complexity and performance of supervised ML algorithms while classifying impulsive noise parameters. We generated synthetic datasets of α-stable noise distributions for experimentation in a controlled environment. It was followed by experimental evaluation to derive the complexity and performance of ML classifiers—k-nearest neighbors (KNN), Support Vector Machine (SVM), Naïve Bayes (NB), Decision Tree (DT), and Random Forest (RF). Moreover, we employed a very high channel noise level of −15 dB in the test datasets to ensure that the derived analysis applies to real-world devices. The results demonstrate the high performance of DT and RF in structured binary classification of the α regime and the sign of skewness, while incurring satisfactory computational costs. However, SVM and kNN are comparatively more robust for multi-class classification, albeit with higher memory and training costs. On the contrary, NB fails to address the skewed and impulsive behavior of α-stable noise. We observed that even the most effective classifiers struggle to achieve perfect accuracy in multi-class classification. Overall, the experimental results reveal significant trade-off relationships between the complexity and performance of ML classifiers. Conclusively, simple models are well-suited for coarse-grained tasks, such as α-approximation and sign-of-skewness classification. In contrast, sophisticated models can be deployed to predict noise parameters to some extent. Our study provides a clear set of trade-offs for future applied AI devices that address adversarial and impulsive noise. Full article
15 pages, 1316 KB  
Article
Study of Graphene-Based Strain Sensing Output Signals Under External Electromagnetic Interference Conditions
by Furong Kang, Shuqi Han, Kaixi Bi, Jian He and Xiujian Chou
Nanomaterials 2026, 16(9), 509; https://doi.org/10.3390/nano16090509 (registering DOI) - 23 Apr 2026
Abstract
Graphene possesses exceptional mechanical strength, high electrical conductivity, and a stable lattice structure, making it an ideal material for sensors in advanced manufacturing. However, these sensors face stability challenges due to complex electromagnetic interference (EMI) environments generated by electrical equipment. Therefore, investigating the [...] Read more.
Graphene possesses exceptional mechanical strength, high electrical conductivity, and a stable lattice structure, making it an ideal material for sensors in advanced manufacturing. However, these sensors face stability challenges due to complex electromagnetic interference (EMI) environments generated by electrical equipment. Therefore, investigating the influence of EMI on sensor performance is of significant importance. In this study, simulations were performed to analyze electrical parameter perturbations of intrinsic graphene films under EMI conditions. The Magnetic Fields, Solid Mechanics, and Electrostatics modules in COMSOL Multiphysics were employed to construct a coupled model of a three-phase power transformer and a graphene-based pressure sensor. The results indicate that EMI can induce baseline drift on the order of ~5% full scale (FS) in the graphene current density, accompanied by degradation in signal-to-noise ratio (SNR) exceeding ~15 dB under typical simulation conditions. Graphene in direct contact with metal electrodes shows enhanced sensitivity to EMI, with more pronounced noise amplification due to interfacial coupling effects. In contrast, cavity-suspended graphene configurations exhibit relatively improved robustness, suggesting that suspended membrane architectures can mitigate EMI by reducing parasitic coupling and enhancing mechanical isolation. Compared with previous studies, this work highlights the role of multiphysics coupling and membrane suspension in influencing EMI-induced perturbations, providing theoretical guidance for the design of graphene-based sensors in power system and industrial Internet of Things (IoT) applications. Full article
(This article belongs to the Section Nanoelectronics, Nanosensors and Devices)
18 pages, 9518 KB  
Article
A Multi-Scale Deep Network for Aircraft Wake Vortex Recognition Using Lidar Radial Velocity Fields
by Xuan Wang, Shangjun Li, Xiqiao Dai, Weijun Pan and Yuanfei Leng
Appl. Sci. 2026, 16(9), 4121; https://doi.org/10.3390/app16094121 - 23 Apr 2026
Abstract
Aircraft wake vortices pose significant threats to following aircraft during takeoff and landing phases. Coherent Doppler lidar provides an effective remote sensing technique for wake vortex monitoring through radial velocity measurements. However, reliable identification of wake vortices from lidar observations remains challenging due [...] Read more.
Aircraft wake vortices pose significant threats to following aircraft during takeoff and landing phases. Coherent Doppler lidar provides an effective remote sensing technique for wake vortex monitoring through radial velocity measurements. However, reliable identification of wake vortices from lidar observations remains challenging due to noise and the complex multi-scale evolution of vortex structures. In this study, we propose a physics-guided multi-scale deep network (HMNet) for aircraft wake vortex identification. First, we propose a denoising module (DE) to suppress noise in radial velocity fields. Subsequently, we design a hybrid multi-scale backbone network containing a hybrid multi-scale feature extraction module (HMFE) to capture vortex structures at different spatial scales. Furthermore, we propose a feature gradient guidance module (FGGM) to incorporate physically meaningful gradient cues and enhance vortex-sensitive features. HMNet is evaluated and tested on 1401 radial velocity field data samples collected on the runway at Shenzhen Bao’an Airport. The experimental results show that HMNet achieves 97.15% accuracy, 95.83% recall, and 96.84% F1 score. Compared with the baseline VGG16 and Random Forest, HMNet improves accuracy by 6.18% and 11.88%, respectively. These results demonstrate that HMNet provides an effective solution for lidar-based wake vortex identification and can support the development of intelligent air traffic management. Full article
26 pages, 4253 KB  
Article
A Chaos-Based Image Encryption Algorithm via Integrated Cellular Automata and Tent Map Systems
by Yuanyuan Huang, Zixi Zhou, Diqing Liang, Fei Yu and Jie Jin
Axioms 2026, 15(5), 304; https://doi.org/10.3390/axioms15050304 - 23 Apr 2026
Abstract
This study proposes a novel image encryption algorithm based on a two-dimensional discrete chaotic system that integrates cellular automata (CA) with a tent map. The algorithm addresses security vulnerabilities in digital image transmission and storage across open networks or cloud environments. It employs [...] Read more.
This study proposes a novel image encryption algorithm based on a two-dimensional discrete chaotic system that integrates cellular automata (CA) with a tent map. The algorithm addresses security vulnerabilities in digital image transmission and storage across open networks or cloud environments. It employs a three-phase encryption process: coordinate permutation, spatial permutation, and diffusion. Sequential application of Arnold’s coordinate scrambling, maze traversal-based spatial rearrangement, and a CA-driven diffusion mechanism enhances robustness against noise, differential attacks, and partial cropping. A Dynamic CA–Tent Map (DCA–TM) hybrid chaotic system is designed to overcome periodicity and limited key space issues inherent in conventional chaotic encryption. The permutation stage is refined into coordinate and spatial phases to achieve comprehensive pixel randomization. During diffusion, CA rules are selected dynamically based on the iteration counts of the initial parameters, yielding an adaptive encryption system with a variable key space. Performance evaluations—including Lyapunov exponent tests, bifurcation analysis, information entropy measurement, and pixel correlation assessment—confirm the strong chaotic behavior and high security of the proposed scheme. Full article
(This article belongs to the Special Issue Nonlinear Dynamical System and Its Applications)
31 pages, 2271 KB  
Article
An MDAO Method for Assessing Benefits of Variable Cycle Engines in the Conceptual Design of Supersonic Civil Aircraft
by Chao Yang and Xiongqing Yu
Aerospace 2026, 13(5), 399; https://doi.org/10.3390/aerospace13050399 - 22 Apr 2026
Viewed by 171
Abstract
The Variable Cycle Engine (VCE) is a key enabling technology for addressing the economic and environmental challenges of next-generation supersonic civil aircraft. This paper presents a multidisciplinary design analysis and optimization (MDAO) approach to quantitatively assess the potential benefits of Variable Cycle Engines [...] Read more.
The Variable Cycle Engine (VCE) is a key enabling technology for addressing the economic and environmental challenges of next-generation supersonic civil aircraft. This paper presents a multidisciplinary design analysis and optimization (MDAO) approach to quantitatively assess the potential benefits of Variable Cycle Engines (VCE) in the conceptual design of supersonic civil aircraft. In this approach, component-level models of a conventional Mixed-Flow Turbofan (MFTF) and a double-bypass VCE with a Core Driven Fan Stage (CDFS) are integrated into the MDAO process. Employing a multi-point optimization strategy, the engine design parameters and off-design control schedules are first determined. Subsequently, for each given engine design (MFTF and CDFS VCE), the airframe geometry parameters are optimized to minimize the aircraft Maximum Take-off Weight (MTOW). The application of this approach is illustrated through a case study of a medium-sized supersonic civil transport. The results indicate that, under the assumption of identical weights for the VCE and the MFTF, the design with the VCE reduces the MTOW by 2.8%, block fuel consumption by 5.7%, and total mission Nitrogen Oxides (NOx) emissions by 24.2% compared to the design with the MFTF. Additionally, lateral noise and flyover noise during the take-off phase are decreased by 2.2 EPNdB and 1.9 EPNdB, respectively. To account for the potential weight increase caused by the structural complexity of the VCE, a parametric weight sensitivity analysis is conducted. Results show that the VCE retains its advantages in MTOW, fuel efficiency, noise, and emissions for weight penalty factors up to 1.15. Full article
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15 pages, 5165 KB  
Article
Intelligent Defect Identification in Girth Welds of Phased Array Ultrasonic Testing Images Using Median Filtering, Spatial Enrichment, and YOLOv8
by Mingzhe Bu, Shengyuan Niu, Xueda Li and Bin Han
Metals 2026, 16(5), 458; https://doi.org/10.3390/met16050458 - 22 Apr 2026
Viewed by 130
Abstract
Girth welds are susceptible to defects under high internal pressure and stress. While phased array ultrasonic testing (PAUT) is widely used for non-destructive evaluation, manual inspection remains inefficient and highly dependent on expertise. Furthermore, existing deep learning models often struggle with low accuracy [...] Read more.
Girth welds are susceptible to defects under high internal pressure and stress. While phased array ultrasonic testing (PAUT) is widely used for non-destructive evaluation, manual inspection remains inefficient and highly dependent on expertise. Furthermore, existing deep learning models often struggle with low accuracy and high complexity. This paper proposes a PAUT defect classification method based on YOLOv8. First, median filtering is employed for denoising, and the results show that noise is effectively reduced while preserving key features, achieving PSNR values of 35.132, 35.938, and 36.138 for slag inclusion, pores, and lack of fusion (LOF), respectively. Subsequently, the spatial enrichment algorithm (SEA) is applied to enhance image details without amplifying noise, yielding a PSNR of 33.71 and an SSIM of 0.96. Finally, the YOLOv8 model is implemented for defect recognition. Experimental results demonstrate that the proposed approach achieves a superior balance between precision and recall with high reliability. This method offers a robust and efficient solution for automated PAUT evaluation in practical engineering applications. Full article
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18 pages, 24765 KB  
Article
Field-Transformation-Based Light-Field Hologram Generation from a Single RGB Image
by Xiaoming Chen, Xiaoyu Jiang, Yingqing Huang, Xi Wang and Chaoqun Ma
Photonics 2026, 13(5), 407; https://doi.org/10.3390/photonics13050407 - 22 Apr 2026
Viewed by 133
Abstract
We propose a field-transformation-based framework for generating phase-only light-field holograms from a single RGB image. The method establishes an explicit pipeline from monocular scene inference to holographic wavefront synthesis, without requiring multi-view capture or task-specific hologram-network training. First, we construct a layered occlusion [...] Read more.
We propose a field-transformation-based framework for generating phase-only light-field holograms from a single RGB image. The method establishes an explicit pipeline from monocular scene inference to holographic wavefront synthesis, without requiring multi-view capture or task-specific hologram-network training. First, we construct a layered occlusion RGB-D model from the input image using monocular depth estimation, connectivity-based layer decomposition, and occlusion-aware inpainting, which provides a lightweight 3D prior for sparse-view rendering in the small-parallax regime. Second, we transform the rendered sparse RGB-D light field into a target complex wavefront on the recording plane through local frequency mapping, thereby bridging explicit scene geometry and wave-optical field construction. Third, we optimize the phase-only hologram under multi-plane amplitude constraints using a geometrically consistent initial phase and an error-driven adaptive depth-sampling strategy, which improves convergence stability and reconstruction quality under a limited computational budget. Numerical experiments show that the proposed method achieves better depth continuity, occlusion fidelity, and lower speckle noise than representative layer-based and point-based methods, and improves the average PSNR and SSIM by approximately 3 dB and 0.15, respectively, over Hogel-Free Holography. Optical experiments further confirm the physical feasibility and robustness of the proposed framework. Full article
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21 pages, 843 KB  
Article
Assessing Hierarchical Temporal Memory Against an LSTM Baseline for Short-Term Smart-Meter Load Forecasting
by Antón Román-Portabales and Martín López-Nores
Future Internet 2026, 18(4), 222; https://doi.org/10.3390/fi18040222 - 21 Apr 2026
Viewed by 93
Abstract
Short-term load forecasting is a key capability for smart-grid operation, but real smart-meter streams are affected by missing values, communication noise, and non-stationary consumption patterns. This paper studies forecasting using raw smart-meter data collected from domestic consumers in a medium-sized city in southern [...] Read more.
Short-term load forecasting is a key capability for smart-grid operation, but real smart-meter streams are affected by missing values, communication noise, and non-stationary consumption patterns. This paper studies forecasting using raw smart-meter data collected from domestic consumers in a medium-sized city in southern Spain. In particular, we assess Hierarchical Temporal Memory (HTM), a biologically inspired online sequence learner, against a family of Long Short-Term Memory (LSTM)-based recurrent baselines. HTM offers continual adaptation and avoids a separate training phase, whereas LSTM relies on offline supervised training and may require retraining or fine-tuning under distribution shift. For five-step-ahead forecasting, HTM achieved a test RMSE of 251 kWh (about 15% of average consumption). After hyperparameter optimization, the best tested LSTM configuration achieved a test RMSE of approximately 250 kWh under clean conditions, indicating nearly identical point accuracy between the two approaches. Under synthetic Gaussian-noise injection, however, HTM remained comparatively stable, whereas the optimized LSTM configuration degraded markedly under the tested perturbation protocol. In addition, HTM exhibited a lower runtime in the tested CPU-based implementation. These findings suggest that HTM is a viable online alternative for aggregated smart-meter forecasting, offering competitive accuracy together with a favorable operational profile under the specific evaluation setup considered here. Full article
(This article belongs to the Special Issue Artificial Intelligence in Smart Grids)
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22 pages, 2789 KB  
Article
Faulty Line Selection Method Based on Differentiation of Zero-Sequence Current Characteristics for Flexible Grounding Systems
by Yafeng Huang, Junhang Ye and Jiaqing Sun
Electronics 2026, 15(8), 1754; https://doi.org/10.3390/electronics15081754 - 21 Apr 2026
Viewed by 145
Abstract
To effectively address the challenge of faulty line selection during high-impedance grounding faults in distribution networks with a flexible grounding system, a novel fault line selection method that integrates both the amplitude and phase characteristics of zero-sequence currents is proposed. The characteristics of [...] Read more.
To effectively address the challenge of faulty line selection during high-impedance grounding faults in distribution networks with a flexible grounding system, a novel fault line selection method that integrates both the amplitude and phase characteristics of zero-sequence currents is proposed. The characteristics of zero-sequence currents under single-phase grounding faults in a flexible grounding system are thoroughly investigated, with a particular focus on analyzing the phase relationship and amplitude differences between the zero-sequence currents of each feeder and that of the neutral point. Upon the switching of the parallel low-resistance device, the zero-sequence current of the faulty line is approximately equal in amplitude but opposite in phase to that of the neutral point. In contrast, the zero-sequence current amplitude of a healthy line is significantly smaller than that of the neutral point, and its phase is nearly orthogonal to the neutral point zero-sequence current. To capture these characteristic differences, the projection of each line’s zero-sequence current onto the neutral point zero-sequence current is employed. A projection coefficient criterion is subsequently constructed to enhance the reliability of line selection. Furthermore, by utilizing the neutral point zero-sequence current, the method can effectively extract the weak zero-sequence current of healthy lines, thereby mitigating the risk of misjudgment by the fault line selection device caused by the inability of zero-sequence current transformers (CT) to accurately acquire such faint signals. Simulation results obtained via PSCAD validate that the proposed method remains effective for single-phase grounding faults with transition resistances up to 3000 Ω, even under extreme operating conditions such as reverse polarity of zero-sequence CT or the presence of strong noise interference. Full article
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20 pages, 5171 KB  
Article
Faulty Feeder Detection Based on Multiple Transient Characteristics Fusion in Resonant Grounding Systems
by Ruihao Ma and Qingle Pang
Mathematics 2026, 14(8), 1389; https://doi.org/10.3390/math14081389 - 21 Apr 2026
Viewed by 158
Abstract
To address the low accuracy of faulty feeder detection methods based on single-fault characteristics, we propose a faulty feeder detection method for resonant grounding systems that fuses multiple transient characteristics. First, we analyze the transient zero-sequence current fault characteristics of both faulty and [...] Read more.
To address the low accuracy of faulty feeder detection methods based on single-fault characteristics, we propose a faulty feeder detection method for resonant grounding systems that fuses multiple transient characteristics. First, we analyze the transient zero-sequence current fault characteristics of both faulty and healthy feeders during single-phase-to-ground (SPG) faults. Then, the transient zero-sequence current of each feeder is decomposed into intrinsic mode functions (IMFs) using variational mode decomposition (VMD), and a new signal was constructed by combining IMF1 and IMF2. Subsequently, transient energy and waveform similarity fault characteristics are extracted from the constructed signal, and a faulty feeder detection criterion based on multiple transient characteristics fusion is developed. Finally, extensive simulations and field data verify the proposed faulty feeder detection method. The results demonstrate that the method is robust against fault resistance, fault inception angle, fault location, and noise, achieving high accuracy in faulty feeder detection. This method can be widely applied to detect faulty feeders in resonant grounding systems. Full article
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15 pages, 7571 KB  
Article
Design and Analysis of a Colpitts-Type Crystal Oscillator Circuit
by İshak Parlar and Özge Kaya
Electronics 2026, 15(8), 1745; https://doi.org/10.3390/electronics15081745 - 20 Apr 2026
Viewed by 146
Abstract
In high-frequency, stable signal generation, the Colpitts-type crystal oscillator circuit stands out for its low phase noise and long-term frequency stability, offering a reliable solution, especially for communication systems and precision measuring instruments. In this study, equivalent circuit models of the Colpitts-type crystal [...] Read more.
In high-frequency, stable signal generation, the Colpitts-type crystal oscillator circuit stands out for its low phase noise and long-term frequency stability, offering a reliable solution, especially for communication systems and precision measuring instruments. In this study, equivalent circuit models of the Colpitts-type crystal oscillator were created, mathematical relationships were obtained, and theoretical analyses were performed. Theoretical models were examined in a simulation environment using OrCAD/PSpice® and NI Multisim® software; numerical analyses were performed with MATLAB R2025b to support the system outputs. Simulation results were validated with experimental data obtained in the laboratory, demonstrating a high agreement between theoretical, simulation, and experimental findings. The results show that the developed models successfully represent the physical system in terms of oscillation startup time, transient behavior, and oscillation band settling times. Furthermore, solutions to practical problems such as startup instabilities and load effects led to the conclusion that the circuit operates reliably and repeatably. Full article
(This article belongs to the Section Electronic Materials, Devices and Applications)
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