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Search Results (2,766)

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Keywords = estimation of distribution algorithms

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27 pages, 22277 KiB  
Article
A Novel Photon-Counting Laser Point Cloud Denoising Method Based on Spatial Distribution Hierarchical Clustering for Inland Lake Water Level Monitoring
by Xin Lv, Xiao Wang, Xiaomeng Yang, Junfeng Xie, Fan Mo, Chaopeng Xu and Fangxv Zhang
Remote Sens. 2025, 17(5), 902; https://doi.org/10.3390/rs17050902 - 4 Mar 2025
Abstract
Inland lakes and reservoirs are critical components of global freshwater resources. However, traditional water level monitoring stations are costly to establish and maintain, particularly in remote areas. As an alternative, satellite altimetry has become a key tool for lake water level monitoring. Nevertheless, [...] Read more.
Inland lakes and reservoirs are critical components of global freshwater resources. However, traditional water level monitoring stations are costly to establish and maintain, particularly in remote areas. As an alternative, satellite altimetry has become a key tool for lake water level monitoring. Nevertheless, conventional radar altimetry techniques face accuracy limitations when monitoring small water bodies. The Ice, Cloud, and Land Elevation Satellite-2 (ICESat-2), equipped with a single-photon counting lidar system, offers enhanced precision and a smaller ground footprint, making it more suitable for small-scale water body monitoring. However, the water level data obtained from the ICESat-2 ATL13 inland water surface height product are limited in quantity, while the lake water level accuracy derived from the ATL08 product is relatively low. To overcome these challenges, this study proposes a Spatial Distribution-Based Hierarchical Clustering for Photon-Counting Laser altimeter (SD-HCPLA) for enhanced water level extraction, validated through experiments conducted at the Danjiangkou Reservoir. The proposed method first employs Landsat 8/9 imagery and the Normalized Difference Water Index (NDWI) to generate a water mask, which is then used to filter ATL03 photon data within the water body boundaries. Subsequently, a Minimum Spanning Tree (MST) is constructed by traversing all photon points, where the vertical distance between adjacent photons replaces the traditional Euclidean distance as the edge length, thereby facilitating the clustering and denoising of the point cloud data. The SD-HCPLA algorithm successfully obtained 41 days of valid water level data for the Danjiangkou Reservoir, achieving a correlation coefficient of 0.99 and an average error of 0.14 m. Compared with ATL08 and ATL13, the SD-HCPLA method yields higher data availability and improved accuracy in water level estimation. Furthermore, the proposed algorithm was applied to extract water level data for five lakes and reservoirs in Hubei Province from 2018 to 2023. The temporal variations and inter-correlations of water levels were analyzed, providing valuable insights for regional ecological environment monitoring and water resource management. Full article
(This article belongs to the Section Remote Sensing in Geology, Geomorphology and Hydrology)
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Figure 1

Figure 1
<p>Topographic map of Hubei Province showing the locations of the five reservoirs and five lakes, along with the ICESat-2 orbital tracks. (<b>A</b>) Danjiangkou Reservoir. (<b>B</b>) Zhanghe Reservoir. (<b>C</b>) Fushui Reservoir. (<b>D</b>) Shuibuya Reservoir. (<b>E</b>) Bailianhe Reservoir. (<b>F</b>) Honghu Lake. (<b>G</b>) Liangzi Lake. (<b>H</b>) Futou Lake. (<b>I</b>) Longgan Lake. (<b>J</b>) Daye Lake.</p>
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<p>Schematic diagram of ICESat-2 footprints.</p>
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<p>Schematic map of the location of Danjiangkou Reservoir evaporation station.</p>
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<p>Signal photon extraction process and water level extraction process.</p>
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<p>Water body mask diagram for lakes and reservoirs. (<b>A</b>) Danjiangkou Reservoir. (<b>B</b>) Zhanghe Reservoir. (<b>C</b>) Fushui Reservoir. (<b>D</b>) Shuibuya Reservoir. (<b>E</b>) Bailianhe Reservoir. (<b>F</b>) Honghu Lake. (<b>G</b>) Liangzi Lake. (<b>H</b>) Futou Lake. (<b>I</b>) Longgan Lake. (<b>J</b>) Daye Lake.</p>
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<p>Distribution of ATL03 photons. (<b>a</b>) Signal photon distribution. (<b>b</b>) Partial zoom of the signal photon distribution. (<b>c</b>,<b>d</b>) Difference in the distribution of signal photons and noise photons.</p>
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<p>Schematic diagram of the density distribution differences of photons in the horizontal and vertical directions. (<b>a</b>) Euclidean distance and vertical distance of signal photons. (<b>b</b>) Differences between Euclidean distance and vertical distance.</p>
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<p>A spatial distribution-based hierarchical clustering for photon-counting laser altimeter. (<b>a</b>) Photon data after coarse denoising. (<b>b</b>) Minimum spanning tree generated using Euclidean distance. (<b>c</b>) Schematic of minimum spanning tree construction based on photon density differences in the vertical direction. (<b>d</b>) Hierarchical structure generation. (<b>e</b>) Noise edge filtering using 3 standard deviations and 2 times the interquartile range. (<b>f</b>) Schematic of denoising results.</p>
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<p>Comparison of denoising results for the gt2r beam of ATL03_20200303195727_10400606_006_01.h5 in the Danjiangkou Reservoir. (<b>a</b>) Original signal photons. (<b>b</b>) ATL08 signal photons. (<b>c</b>) Signal photons extracted by SD-HCPLA. (<b>e</b>) Zoomed-in view of ATL08 (<b>f</b>) Zoomed-in view of SD-HCPLA.</p>
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<p>Comparison of denoising results for the gt1l beam of ATL03_20210909052406_11851202_006_02.h5 in the Danjiangkou Reservoir (<b>a</b>) Original signal photons. (<b>b</b>) ATL08 signal photons. (<b>c</b>) Signal photons extracted by SD-HCPLA. (<b>e</b>) Zoomed-in view of ATL08. (<b>f</b>) Zoomed-in view of SD-HCPLA.</p>
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<p>Trends in lake and reservoir water level changes in relation to precipitation variations.</p>
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<p>Trends in lake and reservoir water level changes in relation to surface temperature variations.</p>
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<p>Trends in lake and reservoir water level changes in relation to variations in evapotranspiration.</p>
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<p>Schematic diagram showing the relationship between the east–west length of the water body and the number of effective water level data days obtained.</p>
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24 pages, 6358 KiB  
Article
Improving Total Carbon Storage Estimation Using Multi-Source Remote Sensing
by Huoyan Zhou, Wenjun Liu, Hans J. De Boeck, Yufeng Ma and Zhiming Zhang
Forests 2025, 16(3), 453; https://doi.org/10.3390/f16030453 - 3 Mar 2025
Viewed by 114
Abstract
Accurate estimations of forest total carbon storage are essential for understanding ecosystem functioning and improving forest management. This study investigates how multi-source remote sensing data can be used to provide accurate estimations of diameter at breast height (DBH) at the plot level, enhancing [...] Read more.
Accurate estimations of forest total carbon storage are essential for understanding ecosystem functioning and improving forest management. This study investigates how multi-source remote sensing data can be used to provide accurate estimations of diameter at breast height (DBH) at the plot level, enhancing biomass estimations across 39.41 × 104 km2. The study is focused on Yunnan Province, China, which is characterized by complex terrain and diverse vegetation. Using ground-based survey data from hundreds of plots for model calibration and validation, the methodology combines multi-source remote sensing data, machine learning algorithms, and statistical analysis to develop models for estimating DBH distribution at regional scales. Decision tree showed the best overall performance. The model effectiveness improved when stratified by climatic zones, highlighting the importance of environmental context. Traditional methods based on the kNDVI index had a mean squared error (MSE) of 2575 t/ha and an R2 value of 0.69. In contrast, combining model-estimated DBH values with remote sensing data resulted in a substantially lower MSE of 212 t/ha and a significantly improved R2 value of 0.97. The results demonstrate that incorporating DBH not only reduced prediction errors but also improved the model’s ability to explain biomass variability. In addition, climatic region classification further increased model accuracy, suggesting that future efforts should consider environmental zoning. Our analyses indicate that water availability during cool and dry periods in this monsoon-influenced region was especially critical in influencing DBH across different subtropical zones. In summary, the study integrates DBH and high-resolution remote sensing data with advanced algorithms for accurate biomass estimation. The findings suggest that this approach can support regional forest management and contribute to research on carbon balance and ecosystem assessment. Full article
(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
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<p>Yunnan Province in China and the plot of the study area.</p>
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<p>Technical route.</p>
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<p>The driving factors of DBH in plateau temperature region.</p>
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<p>The driving factors of DBH in south subtropical humid region.</p>
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<p>The driving factors of DBH in edge of humid region.</p>
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<p>Accuracy of model with kNDVI.</p>
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<p>Accuracy of the model without DBH.</p>
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<p>Accuracy of model with DBH.</p>
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<p>DBH (Plot scale) of Yunnan Province. Note: The DBH is the level of the plot, the size of each plot is 30 × 30 m, and the displayed value is the sum of DBH of all trees in the plot.</p>
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<p>Feature importance of DBH in Yunnan Province.</p>
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<p>Predicts total carbon storage of Yunnan Province: (<b>a</b>) current, (<b>b</b>) 2040–2060 SSP126, and (<b>c</b>) 2040–2060 SSP245.</p>
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<p>Change rate of total carbon storage in Yunnan Province. (<b>a</b>) ROC for SSP126(2040–2060) to current and (<b>b</b>) ROC for SSP245 (2040–2060) to current.</p>
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27 pages, 8299 KiB  
Article
Monte Carlo Micro-Stress Field Simulations in Flax/E-Glass Composite Laminae with Non-Circular Flax Fibres
by Nenglong Yang, Zhenmin Zou, Constantinos Soutis, Prasad Potluri and Kali Babu Katnam
Polymers 2025, 17(5), 674; https://doi.org/10.3390/polym17050674 - 2 Mar 2025
Viewed by 151
Abstract
This study explores the mechanical behaviour of intra-laminar hybrid flax/E-glass composites, focusing on the role of micro-scale irregularities in flax fibres. By employing computational micromechanics and Monte Carlo simulations, it analyses the influence of flax fibre geometry and elastic properties on the performance [...] Read more.
This study explores the mechanical behaviour of intra-laminar hybrid flax/E-glass composites, focusing on the role of micro-scale irregularities in flax fibres. By employing computational micromechanics and Monte Carlo simulations, it analyses the influence of flax fibre geometry and elastic properties on the performance of hybrid and non-hybrid composites. A Non-Circular Fibre Distribution (NCFD) algorithm is introduced to generate microstructures with randomly distributed non-circular flax and circular E-glass fibres, which are then modelled using a 3D representative volume element (RVE) model developed in Python 2.7 and implemented with Abaqus/Standard. The RVE dimensions were specified as ten times the mean characteristic length of flax fibres (580 μm) for the width and length, while the thickness was defined as one-tenth the radius of the E-glass fibre. Results show that Monte Carlo simulations accurately estimate the effect of fibre variabilities on homogenised elastic constants when compared to measured values and Halpin-Tsai predictions, and they effectively evaluate the fibre/matrix interfacial stresses and von Mises matrix stresses. While these variabilities minimally affect the homogenised properties, they increase the presence of highly stressed regions, especially at the interface and matrix of flax/epoxy composites. Additionally, intra-laminar hybridisation further increases local stress in these critical areas. These findings improve our understanding of the relationship between the natural fibre shape and mechanical performance in flax/E-glass composites, providing valuable insights for designing and optimising advanced composite materials to avoid or delay damage, such as matrix cracking and splitting, under higher applied loads. Full article
(This article belongs to the Special Issue Structure, Characterization and Application of Bio-Based Polymers)
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Figure 1
<p>Representative microstructures of hybrid and non-hybrid composites created using the NCFD algorithm, showing the effects of varying flax fibre shapes and the specified fibre volume fractions for flax, E-glass, and matrix (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>V</mi> </mrow> <mrow> <mi>f</mi> <mi>F</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <msub> <mrow> <mi>V</mi> </mrow> <mrow> <mi>f</mi> <mi>E</mi> </mrow> </msub> <mo>,</mo> <mi>V</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math>) as follows: (<b>a</b>) (0.48, 0.12, 0.40), (<b>b</b>) (0.48, 0.12, 0.40), (<b>c</b>) (0.60, 0, 0.40), (<b>d</b>) (0.60, 0, 0.40).</p>
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<p>The mean homogenised elastic constants computed from eight Monte Carlo simulation cases, with colour-coded bars transitioning from light to dark red for MCS cases 1–4 (flax/E-glass composites) and light to dark blue for MCS cases 5–8 (flax composites): (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>E</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>11</mn> </mrow> </msub> </mrow> </semantics></math> (GPa), (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>E</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> </mrow> </semantics></math> (GPa), (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>G</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> </mrow> </semantics></math> (GPa), (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>G</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> </mrow> </semantics></math> (GPa), (<b>e</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>ν</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> </mrow> </semantics></math> and (<b>f</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>ν</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Interface reversed cumulative surface percentages as functions of interfacial stresses: (<b>a1</b>,<b>b1</b>,<b>c1</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>σ</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>a2</b>,<b>b2</b>,<b>c2</b>) <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>τ</mi> </mrow> <mrow> <mi>n</mi> <mi>t</mi> </mrow> </msub> </mrow> </mfenced> </mrow> </semantics></math>, for flax/E-glass composites (MCS cases 1–4) subjected to transverse tension (<math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa), where the leftmost point represents the percentage of interface regions experiencing normalised interfacial stresses greater than 0.1, progressively decreasing rightward to illustrate the proportion subjected to increasing stress, with MCS 1 (baseline) shown by the red line, which may be partially obscured when comparing data from MCS 2, MCS 3, and MCS 4 in each subplot.</p>
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<p>Interface reversed cumulative surface percentages as functions of interfacial stresses: (<b>a1</b>,<b>b1</b>,<b>c1</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>σ</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>a2</b>,<b>b2</b>,<b>c2</b>) <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>τ</mi> </mrow> <mrow> <mi>n</mi> <mi>t</mi> </mrow> </msub> </mrow> </mfenced> </mrow> </semantics></math>, for flax composites (MCS cases 5–8) subjected to transverse tension (<math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> <mo>)</mo> </mrow> </semantics></math>, where the leftmost point represents the percentage of interface regions experiencing normalised interfacial stresses greater than 0.1, progressively decreasing rightward to illustrate the proportion subjected to increasing stress, with MCS 5 (baseline) shown by the red line, which may be partially obscured when comparing data from MCS 6, MCS 7, and MCS 8 in each subplot.</p>
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<p>Interface reversed cumulative surface percentages as functions of interfacial stresses: (<b>a1</b>,<b>b1</b>,<b>c1</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>σ</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>a2</b>,<b>b2</b>,<b>c2</b>) <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>τ</mi> </mrow> <mrow> <mi>n</mi> <mi>t</mi> </mrow> </msub> </mrow> </mfenced> </mrow> </semantics></math>, for MCS cases 1–4 (flax/E-glass composites) subjected to out-of-plane shear (<math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> <mo>)</mo> </mrow> </semantics></math>, where the leftmost point represents the percentage of interface regions experiencing normalised interfacial stresses greater than 0.1, progressively decreasing rightward to illustrate the proportion subjected to increasing stress, with MCS 1 (baseline) shown by the red line, which may be partially obscured when comparing data from MCS 2, MCS 3, and MCS 4 in each subplot.</p>
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<p>Interface reversed cumulative surface percentages as functions of interfacial stresses: (<b>a1</b>,<b>b1</b>,<b>c1</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>σ</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>a2</b>,<b>b2</b>,<b>c2</b>) <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>τ</mi> </mrow> <mrow> <mi>n</mi> <mi>t</mi> </mrow> </msub> </mrow> </mfenced> </mrow> </semantics></math>, for MCS cases 5–8 (flax laminae) subjected to out-of-plane shear (<math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> <mo>)</mo> </mrow> </semantics></math>, where the leftmost point represents the percentage of interface regions experiencing normalised interfacial stresses greater than 0.1, progressively decreasing rightward to illustrate the proportion subjected to increasing stress, with MCS 5 (baseline) shown by the red line, which may be partially obscured when comparing data from MCS 6, MCS 7, and MCS 8 in each subplot.</p>
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<p>Normalised von Mises stress versus reversed cumulative matrix volume percentages for flax/E-glass composites (MCS Cases 1–4), subjected to: (<b>a1</b>,<b>b1</b>,<b>c1</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, (<b>a2</b>,<b>b2</b>,<b>c2</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, and (<b>a3</b>,<b>b3</b>,<b>c3</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, where the leftmost point represents all matrix regions (100%), progressively decreasing rightward to show the proportion subjected to increasing stress, with MCS 1 (baseline) indicated by the red line, which may be partially obscured when comparing data from MCS 2, MCS 3, and MCS 4 in each subplot.</p>
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<p>Normalised von Mises stress versus reversed cumulative matrix volume percentages for flax composites (MCS cases 5–8), subjected to: (<b>a1</b>,<b>b1</b>,<b>c1</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, (<b>a2</b>,<b>b2</b>,<b>c2</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, and (<b>a3</b>,<b>b3</b>,<b>c3</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, where the leftmost point represents all matrix regions (100%), progressively decreasing rightward to show the proportion subjected to increasing stress, with MCS 5 (baseline) indicated by the red line, which may be partially obscured when comparing data from MCS 6, MCS 7, and MCS 8 in each subplot.</p>
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<p>Average normalised <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mi>v</mi> <mi>M</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msubsup> </mrow> </semantics></math> calculated across eight Monte Carlo simulations under varying loading conditions, with colour-coded bars transitioning from light to dark red for MCS cases 1–4 (flax/E-glass composites) and light to dark blue for MCS cases 5–8 (flax composites): (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>11</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> </mrow> </semantics></math> and (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mtext> </mtext> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">a</mi> </mrow> </semantics></math>.</p>
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<p>Distribution of von Mises stress within the matrix of the flax/E-glass composite (excluding fibres) with a RVE size of <math display="inline"><semantics> <mrow> <mn>580</mn> <mo>×</mo> <mn>580</mn> <mtext> </mtext> <mo>μ</mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>, incorporating both fibre-level variabilities, shown for four distinct loading conditions: (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>11</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, and (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa.</p>
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<p>Distribution of von Mises stress fields in the flax composite (excluding fibres) with a RVE size of <math display="inline"><semantics> <mrow> <mn>580</mn> <mo>×</mo> <mn>580</mn> <mtext> </mtext> <mo>μ</mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>, incorporating both fibre-level variabilities, shown for four distinct loading conditions: (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>11</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>22</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa, and (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>σ</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> <mrow> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> MPa.</p>
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21 pages, 2734 KiB  
Article
The Computational Assessment on the Performance of Products with Multi-Parts Using the Gompertz Distribution
by Shu-Fei Wu and Chieh-Hsin Peng
Symmetry 2025, 17(3), 363; https://doi.org/10.3390/sym17030363 - 27 Feb 2025
Viewed by 131
Abstract
The lifetime performance index is widely used in the manufacturing industry to assess the capability and effectiveness of production processes. A new overall lifetime performance index is proposed when multiple parts of products are produced in multiple dependent production lines. Each individual lifetime [...] Read more.
The lifetime performance index is widely used in the manufacturing industry to assess the capability and effectiveness of production processes. A new overall lifetime performance index is proposed when multiple parts of products are produced in multiple dependent production lines. Each individual lifetime performance index for a single production line is connected to the overall lifetime performance index for multiple independent or dependent production lines. The overall lifetime performance index increases with the overall process yield. We analyze the maximum likelihood estimators for the individual lifetime performance indices using progressively type I interval-censored samples while the lifetime of the ith part of products follows a Gompertz distribution for either independent or dependent cases. To determine whether the overall lifetime performance index meets the desired target value, the maximum likelihood estimator for the individual index is utilized separately to conduct the testing procedures about the overall lifetime performance index for either independent or dependent cases. Power analysis of the multiple testing procedure is illustrated with figures, and key findings are summarized. A simulation study is conducted for the test powers. Lastly, a practical example involving products with two parts is presented to demonstrate the application of the proposed testing algorithm. Given the asymmetry of the lifetime distribution, this research aligns with the study of asymmetric probability distributions and their diverse applications across various fields. Full article
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<p>The p.d.f. (<b>left panel</b>) the h.f. (<b>right panel</b>) of the Gompertz lifetime distribution with the scale parameter <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>i</mi> </mrow> </msub> </mrow> </semantics></math> and the shape parameter <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>β</mi> </mrow> <mrow> <mi>i</mi> </mrow> </msub> </mrow> </semantics></math> = 2.5.</p>
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<p>The p.d.f. (<b>left panel</b>) the h.f. (<b>right panel</b>) of the Gompertz lifetime distribution with the scale parameter <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>i</mi> </mrow> </msub> </mrow> </semantics></math> and the shape parameter <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>β</mi> </mrow> <mrow> <mi>i</mi> </mrow> </msub> </mrow> </semantics></math> = 3.5.</p>
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<p>The power curve for <span class="html-italic">d</span> = 3, 5, 8 (from left to right), α = 0.05, <span class="html-italic">m</span> = 5, <span class="html-italic">p</span> = 0.05.</p>
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<p>The power curve for <span class="html-italic">d</span> = 3, 5, 8 (from left to right), α = 0.05, <span class="html-italic">n</span> = 30, <span class="html-italic">m</span> = 5.</p>
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<p>The power curve for <span class="html-italic">d</span> = 3, 5, 8 (from left to right), α = 0.05, <span class="html-italic">n</span> = 25, <span class="html-italic">p</span> = 0.05.</p>
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<p>The power curve for <span class="html-italic">d</span> = 3, 5, 8 (from left to right), <span class="html-italic">n</span> = 30, <span class="html-italic">m</span> = 5, <span class="html-italic">p</span> = 0.05.</p>
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<p>The power curve for <span class="html-italic">n</span> = 30, <span class="html-italic">m</span> = 5, <span class="html-italic">p</span> = 0.05, α = 0.05, and <span class="html-italic">d</span> = 2, 3, 4, 5.</p>
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<p>The <span class="html-italic">p</span>-values vs. the values of <span class="html-italic">β</span><sub>1</sub>.</p>
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<p>The <span class="html-italic">p</span>-values vs. the values of <span class="html-italic">β</span><sub>2</sub>.</p>
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31 pages, 11082 KiB  
Article
Mean Squared Error Representative Points of Pareto Distributions and Their Estimation
by Xinyang Li and Xiaoling Peng
Entropy 2025, 27(3), 249; https://doi.org/10.3390/e27030249 - 27 Feb 2025
Viewed by 177
Abstract
Pareto distributions are widely applied in various fields, such as economics, finance, and environmental studies. The modeling of real-world data has created a demand for the discretization of Pareto distributions. In this paper, we propose using mean squared error representative points (MSE-RPs) as [...] Read more.
Pareto distributions are widely applied in various fields, such as economics, finance, and environmental studies. The modeling of real-world data has created a demand for the discretization of Pareto distributions. In this paper, we propose using mean squared error representative points (MSE-RPs) as the discrete representation of Pareto distributions. We demonstrate the uniqueness and existence of these representative points under certain parameter settings and provide a theoretical k-means algorithm for the computation of MSE-RPs for Pareto I and Pareto II distributions. Furthermore, to enhance the applicability of MSE-RPs, we employ three methodological approaches to estimate the MSE-RPs of Pareto distributions. By analyzing the estimation bias under different parameters and methods, we recommend estimating the distribution parameters first before estimating the MSE-RPS for Pareto I and Pareto II distributions. For Pareto III and Pareto IV distributions, we suggest using the Bq quantiles for MSE-RP estimation. Building on this, we analyze the sources of estimation bias and propose an effective method for determining the number of MSE-RPs based on information gain truncation. Through simulations and real data studies, we demonstrate that the proposed methods for MSE-RP estimation are effective and can be used to fit the empirical distribution function of data accurately. Full article
(This article belongs to the Special Issue Number Theoretic Methods in Statistics: Theory and Applications)
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<p>Box-plots of estimations of <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> MSE-RPs from <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mi>I</mi> <mo>)</mo> <mo>(</mo> <mn>1</mn> <mo>,</mo> <mn>5</mn> <mo>)</mo> </mrow> </semantics></math>. (<b>a</b>) Description of the box-plots estimated for each representative point using the <math display="inline"><semantics> <mrow> <mi>H</mi> <msub> <mi>D</mi> <mi>q</mi> </msub> </mrow> </semantics></math> quantile estimator. (<b>b</b>) Description of the box-plots estimated for each representative point using the <math display="inline"><semantics> <msub> <mi>B</mi> <mi>q</mi> </msub> </semantics></math> quantile estimator. (<b>c</b>) Description of the box-plots estimated for each representative point using the <math display="inline"><semantics> <msub> <mi>Q</mi> <mi>j</mi> </msub> </semantics></math> quantile estimator. (<b>d</b>) Description of the box-plots estimated for each representative point using the NO quantile estimator. (<b>e</b>) Description of the box-plots estimated for each representative point using the k-means method.</p>
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<p>Case I data fitting <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mi>I</mi> <mo>)</mo> <mo>(</mo> <mn>1</mn> <mo>,</mo> <mn>5</mn> <mo>)</mo> </mrow> </semantics></math> using MSE-RPs estimated using different methods. (<b>a</b>) Description of using MSE-RPs containing <math display="inline"><semantics> <mrow> <mn>90</mn> <mo>%</mo> <mo>≤</mo> <mi>I</mi> <mi>G</mi> <mo>≤</mo> <mn>95</mn> <mo>%</mo> </mrow> </semantics></math>. (<b>b</b>) Description of using MSE-RPs containing <math display="inline"><semantics> <mrow> <mn>95</mn> <mo>%</mo> <mo>≤</mo> <mi>I</mi> <mi>G</mi> <mo>≤</mo> <mn>98</mn> <mo>%</mo> </mrow> </semantics></math>.</p>
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<p>Case II data fitting <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mi>I</mi> <mi>V</mi> <mo>)</mo> <mo>(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>0.1</mn> <mo>,</mo> <mn>0.5</mn> <mo>)</mo> </mrow> </semantics></math> using MSE-RPs estimated using different methods. (<b>a</b>) Description of using MSE-RPs containing <math display="inline"><semantics> <mrow> <mn>90</mn> <mo>%</mo> <mo>≤</mo> <mi>I</mi> <mi>G</mi> <mo>≤</mo> <mn>95</mn> <mo>%</mo> </mrow> </semantics></math>. (<b>b</b>) Description of using MSE-RPs containing <math display="inline"><semantics> <mrow> <mn>95</mn> <mo>%</mo> <mo>≤</mo> <mi>I</mi> <mi>G</mi> <mo>≤</mo> <mn>98</mn> <mo>%</mo> </mrow> </semantics></math>.</p>
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19 pages, 1413 KiB  
Article
Two-Dimensional DOA Estimation for Coprime Planar Arrays: From Array Structure Design to Dimensionality-Reduction Root MUSIC Algorithm
by Yunhe Shi, Xiaofei Zhang and Shengxinlai Han
Sensors 2025, 25(5), 1456; https://doi.org/10.3390/s25051456 - 27 Feb 2025
Viewed by 156
Abstract
This paper proposes a novel sparse array design and an efficient algorithm for two-dimensional direction-of-arrival (2D-DOA) estimation. By analyzing the hole distribution in coprime arrays and introducing supplementary elements, we design a Complementary Coprime Planar Array (CCPA) that strategically fills key holes in [...] Read more.
This paper proposes a novel sparse array design and an efficient algorithm for two-dimensional direction-of-arrival (2D-DOA) estimation. By analyzing the hole distribution in coprime arrays and introducing supplementary elements, we design a Complementary Coprime Planar Array (CCPA) that strategically fills key holes in the virtual array. This design enhances the array’s continuous Degrees Of Freedom (DOFs) and virtual aperture, achieving improved performance in 2D-DOA estimation with fewer physical elements. The virtualization of the array further increases the available DOFs, while the hole-filling strategy ensures better spatial coverage and continuity. On the algorithmic side, we introduce a dimensionality-reduction root MUSIC algorithm tailored for uniform planar arrays after virtualization. By decomposing the two-dimensional spectral peak search into two one-dimensional polynomial root-finding problems, the proposed method significantly reduces computational complexity while maintaining high estimation accuracy. This approach effectively mitigates the challenges of 2D peak search, making it computationally efficient without sacrificing precision. Extensive simulations demonstrate the advantages of the proposed array and algorithm, including higher DOFs, reduced complexity, and superior estimation performance compared to existing methods. These results validate the effectiveness of the proposed framework in advancing sparse array design and signal processing for 2D-DOA estimation. Full article
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<p>Schematic diagram of coprime array structure.</p>
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<p>Physical array of a coprime planar array (M = 3, N = 5).</p>
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<p>Virtual array of a CPA.</p>
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<p>Physical array of a complementary coprime planar array (M = 3, N = 5).</p>
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<p>Virtual array of a CCPA.</p>
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<p>Schematic diagram of two-dimensional space smoothing.</p>
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<p>Comparison of complexities of different algorithms.</p>
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<p>RMSE comparison with SNR variation for different arrays.</p>
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<p>RMSE comparison with snapshot variation for different arrays.</p>
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<p>Two-dimensional DOA estimation under a CCPA array.</p>
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<p>Comparison of RMSE with SNR variation under different numbers of array elements (dimensionality-reduction root MUSIC algorithm).</p>
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<p>RMSE varies with SNR under different algorithms.</p>
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<p>RMSE varies with snapshots under different algorithms.</p>
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22 pages, 4732 KiB  
Article
Rapid Impedance Measurement of Lithium-Ion Batteries Under Pulse Ex-Citation and Analysis of Impedance Characteristics of the Regularization Distributed Relaxation Time
by Haisen Chen, Jinghan Bai, Zhengpu Wu, Ziang Song, Bin Zuo, Chunxia Fu, Yunbin Zhang and Lujun Wang
Batteries 2025, 11(3), 91; https://doi.org/10.3390/batteries11030091 - 27 Feb 2025
Viewed by 182
Abstract
To address the limitations of conventional electrochemical impedance spectroscopy (EIS) testing, we propose an efficient rapid EIS testing system. This system utilizes an AC pulse excitation signal combined with an “intelligent fast fourier transform (IFFT) optimization algorithm” to achieve rapid “one-to-many” impedance data [...] Read more.
To address the limitations of conventional electrochemical impedance spectroscopy (EIS) testing, we propose an efficient rapid EIS testing system. This system utilizes an AC pulse excitation signal combined with an “intelligent fast fourier transform (IFFT) optimization algorithm” to achieve rapid “one-to-many” impedance data measurements. This significantly enhances the speed, flexibility, and practicality of EIS testing. Furthermore, the conventional model-fitting approach for EIS data often struggles to resolve the issue of overlapping impedance arcs within a limited frequency range. To address this, the present study employs the Regularization Distributed Relaxation Time (RDRT) method to process EIS data obtained under AC pulse conditions. This approach avoids the workload and analytical uncertainties associated with assuming equivalent circuit models. Finally, the practical utility of the proposed testing system and the RDRT impedance analysis method is demonstrated through the estimation of battery state of health (SOH). In summary, the method proposed in this study not only addresses the issues associated with conventional EIS data acquisition and analysis but also broadens the methodologies and application scope of EIS impedance testing. This opens up new possibilities for its application in fields such as lithium-ion batteries (LIBs) energy storage. Full article
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<p>EIS data principle test graph. (<b>A</b>) Schematic diagram of conventional EIS testing; (<b>B</b>) Comparative analysis of pulse signal and sine wave signals through fourier decomposition.</p>
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<p>EIS data DRT method analysis graph. (<b>A</b>) Electrochemical model of LIBs and DRT equivalent circuit model; (<b>B</b>,<b>C</b>) Comparative analysis of ideal elements and CEP after DRT processing.</p>
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<p>Hardware architecture diagram of the EIS rapid testing system. (<b>A</b>) Overall architecture diagram of the EIS rapid testing system; (<b>B</b>) Hardware operational structure diagram of the impedance testing system; (<b>C</b>) Topology diagram of the variable excitation equalization board.</p>
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<p>Software architecture diagram of the EIS rapid testing system. (<b>A</b>) Schematic diagram of the software architecture of the system; (<b>B</b>) Structural diagram of the data processing module in the upper-level application.</p>
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<p>Lithium-ion battery aging and impedance testing experimental graph. (<b>A</b>) Flowchart of the LIBs aging experiment; (<b>B</b>) Voltage and current variation chart of the aged LIBs during the aging test; (<b>C</b>) Experimental graph of actual aging test for LIBs; (<b>D</b>) Experimental graph of actual testing on LIBs; (<b>E</b>) Experimental signal graph of EIS testing at 100 Hz.</p>
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<p>Impedance spectra at different SOC levels and under various cycle numbers. (<b>A</b>,<b>B</b>) Comparison between the EIS testing apparatus and the electrochemical workstation; (<b>C</b>,<b>D</b>) Impedance plots of different cycling numbers; (<b>E</b>,<b>F</b>) Impedance plots of different cycling numbers.</p>
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<p>Comparison plots of impedance data processed with RDRT for different SOC and cycle numbers. (<b>A</b>,<b>B</b>) DRT impedance plots without inductance at different cycling numbers; (<b>C</b>,<b>D</b>) DRT impedance plots with inductance at different cycling numbers. (<b>E</b>,<b>F</b>) DRT impedance plots without inductance at various SOC levels. (<b>G</b>,<b>H</b>) DRT impedance plots with inductance at various SOC levels.</p>
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<p>Investigation of the impedance data trends corresponding to S<sub>1</sub> and S<sub>3</sub> at different cycle numbers.</p>
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22 pages, 370 KiB  
Article
Distributions of Outputs Given Subsets of Inputs and Dependent Generalized Sensitivity Indices
by Matieyendou Lamboni
Mathematics 2025, 13(5), 766; https://doi.org/10.3390/math13050766 - 26 Feb 2025
Viewed by 146
Abstract
Better understanding mathematical and numerical models often requires investigating the impacts of inputs on the model outputs, as well as interactions. Quantifying such effects for models with non-independent input variables (NIVs) relies on conditional distributions of the outputs given every subset of inputs. [...] Read more.
Better understanding mathematical and numerical models often requires investigating the impacts of inputs on the model outputs, as well as interactions. Quantifying such effects for models with non-independent input variables (NIVs) relies on conditional distributions of the outputs given every subset of inputs. In this paper, by firstly providing additional dependency models of NIVs, functional outputs are composed by dependency models (yielding equivalent representations of outputs) to derive distributions of outputs conditional on inputs. We then provide an algorithm for selecting the necessary and sufficient equivalent representations that allow for obtaining all the conditional distributions of outputs given every subset of inputs, and for assessing the main, total, and interaction effects (i.e., indices) of every subset of NIVs. Unbiased estimators of covariances of sensitivity functionals and consistent estimators of such indices are derived by distinguishing the case of the multivariate and/or functional outputs, including dynamic models. Finally, analytical results and numerical results are provided, including an illustration based on a dynamic model. Full article
(This article belongs to the Section D1: Probability and Statistics)
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<p>First-type, prime second-type, and second-type dGSIs for different values of the correlation between the two inputs and for <math display="inline"><semantics> <mrow> <mi>a</mi> <mo>=</mo> <mo>−</mo> <mn>2</mn> <mo>,</mo> <mspace width="0.166667em"/> <mn>0</mn> </mrow> </semantics></math>.</p>
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18 pages, 4229 KiB  
Article
Modeling the Potential Distribution of Aulonemia queko: Historical, Current, and Future Scenarios in Ecuador and Other Andean Countries
by Hugo Cedillo, Luis G. García-Montero, Omar Cabrera, Mélida Rocano, Andrés Arciniegas and Oswaldo Jadán
Diversity 2025, 17(3), 167; https://doi.org/10.3390/d17030167 - 26 Feb 2025
Viewed by 118
Abstract
Aulonemia queko Goudot (Poaceae, Bambusoideae) is a species of great cultural importance that has been used as a non-timber forest product in Andean forests for centuries. Despite inhabiting montane forests vulnerable to deforestation, its distribution has not been thoroughly assessed for conservation. This [...] Read more.
Aulonemia queko Goudot (Poaceae, Bambusoideae) is a species of great cultural importance that has been used as a non-timber forest product in Andean forests for centuries. Despite inhabiting montane forests vulnerable to deforestation, its distribution has not been thoroughly assessed for conservation. This study analyzes its potential distribution at the regional scale (the four countries where it is distributed) and locally (in greater detail within Ecuador), using presence records and climatic and land-use data. Maxent was identified as the best algorithm, achieving high values of AUC, TSS, sensitivity, and specificity. At a regional level, A. queko is estimated to occupy approximately 264,540 km2, mostly in Peru, with small areas in Bolivia. In Ecuador, the historical scenario showed the widest distribution, while the current–near-future scenario (20–40–SSP126) presented a more stable model. Temperature and rainfall represented critical factors in defining suitable habitats, as A. queko is highly sensitive to seasonal moisture availability. Land-use changes have reduced potential habitats by more than 35%, underscoring an intensified threat of habitat loss in these biodiversity-rich regions. However, projected climate changes pose an even greater impact, significantly reducing potential distribution. Our findings highlight the compelling effects of both climate-change-driven and human-driven land-use change on the future persistence of A. queko and emphasize the urgent need for targeted conservation strategies to protect its core habitats. Full article
(This article belongs to the Topic Responses of Trees and Forests to Climate Change)
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<p>(<b>A</b>) Regional-scale map centered on Colombia, Ecuador, Peru, and Bolivia, the countries where there are presence records of <span class="html-italic">A. queko</span>. (<b>B</b>) Local-scale map of continental Ecuador showing its political division (provinces in orange) and its geographical area outlined in red.</p>
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<p>Potential distribution of <span class="html-italic">A. queko</span> at the regional level across Colombia, Ecuador, Peru, and Bolivia. (<b>A</b>) Binary classification. (<b>B</b>) Detailed classification.</p>
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<p>Binary classification maps illustrating the potential changes in the distribution of <span class="html-italic">A. queko</span>. (<b>A</b>) Historical scenario. (<b>B</b>–<b>D</b>) Current and near-future scenarios 2020–2040. (<b>E</b>–<b>G</b>) Future scenarios 2041–2060. (<b>H</b>) Area comparisons between scenarios. The letters up to G have the same meaning in Figure (<b>H</b>).</p>
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<p>Detailed classification maps illustrating potential changes in the distribution of <span class="html-italic">A. queko</span>. (<b>A</b>) Historical scenario. (<b>B</b>–<b>D</b>) Current and near-future scenarios (2020–2040). (<b>E</b>–<b>G</b>) Future scenarios (2041–2060). (<b>H</b>) Area comparisons between scenarios. The letters up to G have the same meaning in Figure (<b>H</b>).</p>
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<p>Distribution maps of <span class="html-italic">A. queko,</span> considering the historical scenario and changes in land use in Ecuador until 2020, illustrated through binary (<b>A</b>) and detailed (<b>B</b>) classifications. In (<b>C</b>), the distribution of <span class="html-italic">A. queko</span> across two categories is shown and the letters represent the following: (<b>A</b>)—historical scenario; (<b>B</b>–<b>D</b>)—current and near-future scenarios (2020–2040); (<b>E</b>–<b>G</b>)—future scenarios (2041–2060); H—historical scenario intercepted with a land-use change layer of Ecuador (2020).</p>
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<p>Uncorrelated environmental variables and their respective percentage of explanation in the models for the different scenarios (<b>A</b>–<b>H</b>) of the potential distribution of <span class="html-italic">A. queko</span> at the regional level and within Ecuador. The meaning of the constant climatic variables is given in <a href="#diversity-17-00167-t001" class="html-table">Table 1</a>.</p>
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16 pages, 710 KiB  
Article
Robust Direction of Arrival and Polarization Parameter Estimation in Mutual Coupling Scenario with Non-Collocated Crossed Dipole Arrays
by Wenjiang Chen, Xiang Lan and Xianpeng Wang
Sensors 2025, 25(5), 1391; https://doi.org/10.3390/s25051391 - 25 Feb 2025
Viewed by 104
Abstract
Traditional direction of arrival (DOA) and polarization parameter estimation algorithms generally perform well under ideal conditions. However, their performance degrades significantly in practical scenarios due to mutual coupling effects among array elements. This work introduces an innovative method based on a distributed crossed [...] Read more.
Traditional direction of arrival (DOA) and polarization parameter estimation algorithms generally perform well under ideal conditions. However, their performance degrades significantly in practical scenarios due to mutual coupling effects among array elements. This work introduces an innovative method based on a distributed crossed dipole array to jointly estimate DOA and polarization parameters in the presence of mutual coupling effects. This work firstly eliminates the mutual coupling matrix (MCM) through subarray selection, without requiring prior knowledge of the array’s mutual coupling. The DOA is then estimated using an improved high-resolution algorithm, followed by accurate estimation of the polarization parameters through parameter matching. The results from simulations confirm that the new method significantly improves the estimation accuracy in complex mutual coupling environments, showing notable potential for practical applications and robust performance. Full article
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<p>Polarization-sensitive array model.</p>
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<p>Influence of element mutual coupling parallel to the <span class="html-italic">x</span>-axis.</p>
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<p>Influence of element mutual coupling parallel to the <span class="html-italic">y</span>-axis.</p>
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<p>Regular subarray selection.</p>
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<p>Subarray selection for estimating DOAs.</p>
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<p>Subarray selection for estimating polarization parameters.</p>
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<p>Comparison of three methods. (<b>a</b>) Proposed method. (<b>b</b>) ESPRIT. (<b>c</b>) RD-MUSIC.</p>
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<p>Comparison of RMSE for <math display="inline"><semantics> <mi>θ</mi> </semantics></math> while coupling magnitude changes.</p>
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<p>Comparison of RMSE for <math display="inline"><semantics> <mi>γ</mi> </semantics></math> and <math display="inline"><semantics> <mi>η</mi> </semantics></math> while coupling magnitude changes. (<b>a</b>) RMSE result for angle <math display="inline"><semantics> <mi>γ</mi> </semantics></math>. (<b>b</b>) RMSE result for angle <math display="inline"><semantics> <mi>η</mi> </semantics></math>.</p>
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<p>Comparison of RMSE for <math display="inline"><semantics> <mi>θ</mi> </semantics></math> while SNR changes.</p>
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<p>Comparison of RMSE for <math display="inline"><semantics> <mi>γ</mi> </semantics></math> and <math display="inline"><semantics> <mi>η</mi> </semantics></math> while SNR changes. (<b>a</b>) RMSE result for angle <math display="inline"><semantics> <mi>γ</mi> </semantics></math>. (<b>b</b>) RMSE result for angle <math display="inline"><semantics> <mi>η</mi> </semantics></math>.</p>
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24 pages, 4587 KiB  
Article
Structured Bayesian Super-Resolution Forward-Looking Imaging for Maneuvering Platforms Based on Enhanced Sparsity Model
by Yiheng Guo, Yujie Liang, Yi Liang and Xiangwei Sun
Remote Sens. 2025, 17(5), 775; https://doi.org/10.3390/rs17050775 - 23 Feb 2025
Viewed by 238
Abstract
Sparse reconstruction-based imaging techniques can be utilized to solve forward-looking imaging problems with limited azimuth resolution. However, these methods perform well only under the traditional model for the platform with low speed, and the performance deteriorates for the maneuvering trajectory. In this paper, [...] Read more.
Sparse reconstruction-based imaging techniques can be utilized to solve forward-looking imaging problems with limited azimuth resolution. However, these methods perform well only under the traditional model for the platform with low speed, and the performance deteriorates for the maneuvering trajectory. In this paper, a structured Bayesian super-resolution forward-looking imaging algorithm for maneuvering platforms under an enhanced sparsity model is proposed. An enhanced sparsity model for maneuvering platforms is established to address the reconstruction problem, and a hierarchical Student-t (ST) prior is designed to model the distribution characteristics of the sparse imaging scene. To further leverage prior information about structural characteristics of the scatterings, coupled patterns among neighboring pixels are incorporated to construct a structured sparse prior. Finally, forward-looking imaging parameters are estimated using the expectation/maximization-based variational Bayesian inference. Numerical simulations validate the effectiveness of the proposed algorithm and the superiority over conventional methods based on pixel sparse assumptions in forward-looking scenes for maneuvering platforms. Full article
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<p>Diagram of solutions to sparse recovery problem.</p>
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<p>Geometric model for maneuvering platform with curved trajectory.</p>
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<p>Forward-looking imaging model with enhanced sparsity.</p>
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<p>Illustration of the robustness of ST distribution compared with Gaussian. (<b>a</b>) Histogram distribution of some data points drawn from a Gaussian distribution, together with the fit obtained from a Gaussian (red curve) and an ST distribution (blue curve). (<b>b</b>) Some data points drawn from a Gaussian distribution with some outliers, together with the two fit curves.</p>
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<p>Graphical model.</p>
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<p>Reconstruction results with proposed method with different processes. (<b>a</b>) without compensation. (<b>b</b>) with conventional Doppler phase compensation. (<b>c</b>) with the whole process.</p>
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<p>Actual forward-looking image in point target simulation.</p>
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<p>Point target super-resolution results. (<b>a1</b>) ISTA method. (<b>a2</b>) SAMP method. (<b>a3</b>) SBL method. (<b>a4</b>) SSTEM-VB method with traditional model. (<b>b1</b>) ISTA method. (<b>b2</b>) SAMP method. (<b>b3</b>) SBL method. (<b>b4</b>) SSTEM-VB method with conventional Doppler model. (<b>c1</b>) ISTA method. (<b>c2</b>) SAMP method. (<b>c3</b>) SBL method. (<b>c4</b>) SSTEM-VB method with proposed enhanced sparsity model.</p>
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<p>Point scattering target profiles at range unit 198. Result processed by (<b>a</b>) ISTA method, (<b>b</b>) SAMP method, (<b>c</b>) SBL method, (<b>d</b>) proposed SSTEM-VB method.</p>
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<p>Entropy and MSE curves under different SNRs based on different methods. (<b>a</b>) Entropy curves. (<b>b</b>) MSE curves.</p>
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<p>Actual forward-looking image in surface target simulation.</p>
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<p>Surface target super-resolution results with SNR of 18 dB. (<b>a1</b>) ISTA method. (<b>a2</b>) SAMP method. (<b>a3</b>) SBL method. (<b>a4</b>) SSTEM-VB method with conventional Doppler model. (<b>b1</b>) ISTA method. (<b>b2</b>) SAMP method. (<b>b3</b>) SBL method. (<b>b4</b>) SSTEM-VB method with proposed enhanced sparsity model.</p>
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<p>Surface target super-resolution results with SNR of 5 dB. (<b>a1</b>) ISTA method. (<b>a2</b>) SAMP method. (<b>a3</b>) SBL method. (<b>a4</b>) SSTEM-VB method with conventional Doppler model. (<b>b1</b>) ISTA method. (<b>b2</b>) SAMP method. (<b>b3</b>) SBL method. (<b>b4</b>) SSTEM-VB method with proposed enhanced sparsity model.</p>
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18 pages, 3648 KiB  
Article
Pre-Filtering SCADA Data for Enhanced Machine Learning-Based Multivariate Power Estimation in Wind Turbines
by Bubin Wang, Bin Zhou, Denghao Zhu, Mingheng Zou and Haoxuan Luo
J. Mar. Sci. Eng. 2025, 13(3), 410; https://doi.org/10.3390/jmse13030410 - 22 Feb 2025
Viewed by 269
Abstract
Data generated during the shutdown or start-up processes of wind turbines, particularly in complex wind conditions such as offshore environments, often accumulate in the low-wind-speed region, leading to reduced multivariate power estimation accuracy. Therefore, developing efficient filtering methods is crucial to improving data [...] Read more.
Data generated during the shutdown or start-up processes of wind turbines, particularly in complex wind conditions such as offshore environments, often accumulate in the low-wind-speed region, leading to reduced multivariate power estimation accuracy. Therefore, developing efficient filtering methods is crucial to improving data quality and model performance. This paper proposes a novel filtering method that integrates the control strategies of variable-speed, variable-pitch wind turbines, such as maximum-power point tracking (MPPT) and pitch angle control, with statistical distribution characteristics derived from supervisory control and data acquisition (SCADA). First, thresholds for pitch angle and rotor speed are determined based on SCADA data distribution, and the filtering effect is visualized. Subsequently, a sliding window technique is employed for the secondary confirmation of potential outliers, enabling further anomaly detection (AD). Finally, the performance of the power estimation model is validated using two wind turbine datasets and two machine learning algorithms, with results compared with and without filtering. The results demonstrate that the proposed filtering method significantly enhances the accuracy of multivariate power estimation, proving its effectiveness in improving data quality for wind turbines operating in diverse and complex environments. Full article
(This article belongs to the Topic Advances in Wind Energy Technology)
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<p>Flowchart of proposed methodology.</p>
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<p>The operating regions of a typical variable-speed, variable-pitch wind turbine and the evolution of the power coefficient, rotor speed, and pitch angle with wind speed.</p>
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<p>Dataset A: (<b>a</b>) wind speed–power distribution; (<b>b</b>) wind speed–pitch angle distribution; (<b>c</b>) wind speed–rotor speed distribution.</p>
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<p>Impact of filtering rules on relationship between wind speed, pitch angle, and active power in Dataset A: (<b>a</b>) after applying rules (1) and (2); and (<b>b</b>) after applying rules (1), (2), and (3).</p>
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<p>AD results in two scenarios: (<b>a</b>) binning only with a fixed interval of 1 m/s, without a moving window; and (<b>b</b>) binning with a moving window of 1 m/s in size and a step size of 0.5 m/s.</p>
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<p>Autoencoder-based AD results: (<b>a</b>) autoencoder with wind speed and active power; and (<b>b</b>) autoencoder with wind speed, active power, ambient temperature, rotor speed, and pitch angle.</p>
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<p>Modeling results. (<b>a</b>) Base-BPNN. (<b>b</b>) AD-BPNN. (<b>c</b>) PF-AD-BPNN.</p>
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<p>Comparison of actual and estimated values for wind turbine power output. (<b>a</b>) Base-BPNN. (<b>b</b>) AD-BPNN. (<b>c</b>) PF-AD-BPNN.</p>
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<p>Modeling results. (<b>a</b>) Base-SVM. (<b>b</b>) AD-SVM. (<b>c</b>) PF-AD-SVM.</p>
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<p>Comparison of actual and estimated values for wind turbine power output. (<b>a</b>) Base-SVM. (<b>b</b>) AD-SVM. (<b>c</b>) PF-AD-SVM.</p>
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<p>The PF performance diagram of Dataset B.</p>
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20 pages, 3036 KiB  
Article
A Day-Ahead Optimal Battery Scheduling Considering the Grid Stability of Distribution Feeders
by Umme Mumtahina, Sanath Alahakoon and Peter Wolfs
Energies 2025, 18(5), 1067; https://doi.org/10.3390/en18051067 - 22 Feb 2025
Viewed by 223
Abstract
This study presents a comprehensive framework for optimizing energy management systems by integrating advanced methodologies for weather forecasting, energy cost analysis, and grid stability using a mixed-integer linear programming (MILP) algorithm. A novel approach is proposed for day-ahead weather forecasting, leveraging real-time data [...] Read more.
This study presents a comprehensive framework for optimizing energy management systems by integrating advanced methodologies for weather forecasting, energy cost analysis, and grid stability using a mixed-integer linear programming (MILP) algorithm. A novel approach is proposed for day-ahead weather forecasting, leveraging real-time data extraction from reliable weather websites and applying clear sky modeling to estimate photovoltaic (PV) generation with high accuracy. By automating weather data acquisition, the methodology bridges the gap between weather predictions and practical energy management, providing utilities with a reliable tool for operating and integrating renewable energy. The optimization framework focuses on minimizing the utility bill by analyzing a distribution feeder representative of Australia’s energy infrastructure, incorporating time-of-use (TOU) and flat tariff systems across eight Australian states to simulate realistic energy costs. Furthermore, voltage constraints are applied within the optimization framework to maintain system stability and improve voltage profiles, ensuring both technical reliability and economic efficiency. The proposed framework delivers actionable insights for utility industries, enhancing the scheduling of battery energy storage systems (BESS) and facilitating the integration of renewable energy into the grid. Full article
(This article belongs to the Section F1: Electrical Power System)
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<p>Schematic diagram of a renewable energy community.</p>
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<p>An Australian distribution network.</p>
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<p>Solar generation profile.</p>
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<p>Load profile for 24 h period.</p>
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<p>Power balance curves and corresponding SOC for a 24 h period for different Australian states: (<b>a</b>) ACT, (<b>b</b>) NSW, (<b>c</b>) NT, (<b>d</b>) SA, (<b>e</b>) TAS, (<b>f</b>) VIC, (<b>g</b>) WA, (<b>h</b>) QLD, (<b>i</b>) flat tariff.</p>
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<p>Power balance curves and corresponding SOC for a 24 h period for different Australian states: (<b>a</b>) ACT, (<b>b</b>) NSW, (<b>c</b>) NT, (<b>d</b>) SA, (<b>e</b>) TAS, (<b>f</b>) VIC, (<b>g</b>) WA, (<b>h</b>) QLD, (<b>i</b>) flat tariff.</p>
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<p>Power balance curves and corresponding SOC for a 24 h period for different Australian states: (<b>a</b>) ACT, (<b>b</b>) NSW, (<b>c</b>) NT, (<b>d</b>) SA, (<b>e</b>) TAS, (<b>f</b>) VIC, (<b>g</b>) WA, (<b>h</b>) QLD, (<b>i</b>) flat tariff.</p>
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<p>Power balance curves and corresponding SOC for a 24 h period for different Australian states: (<b>a</b>) ACT, (<b>b</b>) NSW, (<b>c</b>) NT, (<b>d</b>) SA, (<b>e</b>) TAS, (<b>f</b>) VIC, (<b>g</b>) WA, (<b>h</b>) QLD, (<b>i</b>) flat tariff.</p>
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<p>Voltage profile for different buses before BESS scheduling.</p>
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<p>Voltage profile for different buses after BESS scheduling.</p>
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14 pages, 2126 KiB  
Article
Predicting and Mapping of Soil Organic Matter with Machine Learning in the Black Soil Region of the Southern Northeast Plain of China
by Yiyang Li, Gang Yao, Shuangyi Li and Xiuru Dong
Agronomy 2025, 15(3), 533; https://doi.org/10.3390/agronomy15030533 - 22 Feb 2025
Viewed by 300
Abstract
The estimation of soil organic matter (SOM) content is essential for understanding the chemical, physical, and biological functions of soil. It is also an important attribute reflecting the quality of black soil. In this study, machine learning algorithms of support vector machine (SVM), [...] Read more.
The estimation of soil organic matter (SOM) content is essential for understanding the chemical, physical, and biological functions of soil. It is also an important attribute reflecting the quality of black soil. In this study, machine learning algorithms of support vector machine (SVM), neural network (NN), decision tree (DT), random forest (RF), extreme gradient boosting machine (GBM), and generalized linear model (GLM) were used to study the accurate prediction model of SOM in Tieling County, Tieling City, Liaoning Province, China. The models were trained by using 1554 surface soil samples and 19 auxiliary variables. Recursive feature elimination was used as a feature selection method to identify effective variables. The results showed that Normalized Difference Vegetation Index (NDVI) and elevation were key auxiliary variables. Based on 10-fold cross-validation, the RF model had the highest prediction accuracy. In terms of accuracy, the coefficient of determination of RF was 0.77, and the root mean square error was 2.85. The average soil organic matter content was 20.15 g/kg. The spatial distribution of SOM shows that higher content is concentrated in the east and west, while lower content is found in the middle. The SOM content of cultivated land was lower than that of forest land. Full article
(This article belongs to the Section Soil and Plant Nutrition)
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<p>Geographical location of the research area.</p>
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<p>Evaluation of the importance of auxiliary variables.</p>
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<p>Raster prediction results from six machine learning models.</p>
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<p>Mean comparison of soil organic matter within soil types in Tieling County. Values with different letters in each column indicate significant differences (<span class="html-italic">p</span> &lt; 0.05). The error is expressed as the mean value ± 1.64 standard deviations (SD).</p>
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<p>Mean comparison of soil organic matter within land uses in Tieling County. Values with different letters in each column indicate significant differences (<span class="html-italic">p</span> &lt; 0.05).</p>
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13 pages, 2389 KiB  
Article
A Data-Driven State Estimation Based on Sample Migration for Low-Observable Distribution Networks
by Hao Jiao, Chen Wu, Lei Wei, Jinming Chen, Yang Xu and Manyun Huang
Algorithms 2025, 18(3), 121; https://doi.org/10.3390/a18030121 - 20 Feb 2025
Viewed by 144
Abstract
This paper proposes a data-driven state estimation based on sample migration for low-observable distribution networks, addressing the challenge of traditional state estimators being unsuitable for distribution networks with low observability. The state estimation model is trained using historical measurement data from distribution networks [...] Read more.
This paper proposes a data-driven state estimation based on sample migration for low-observable distribution networks, addressing the challenge of traditional state estimators being unsuitable for distribution networks with low observability. The state estimation model is trained using historical measurement data from distribution networks with high observability. Measurements updated for low-observable distribution networks are supplemented by transferring samples from high-observable distribution networks using sample migration techniques, resulting in a state estimation model suitable for low-observable distribution networks. Test results demonstrate that the proposed algorithm outperforms traditional algorithms in both estimation accuracy and robustness aspects, such as the Weighted Least Squares (WLS) and Weighted Least Absolute Value (WLAV) methods. Furthermore, sample migration enhances the generalization ability of the state estimation model. Full article
(This article belongs to the Section Algorithms for Multidisciplinary Applications)
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<p>The process of sample migration.</p>
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<p>Algorithm flowchart of this article.</p>
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<p>Topology singular value sequence of 26-node distribution networks in a certain region.</p>
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<p>Elbow curve of 26-node distribution network.</p>
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<p>Topology diagram of two actual distribution networks: (<b>a</b>) high-observable distribution networks; (<b>b</b>) low-observable distribution networks.</p>
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<p>State estimation results of certain actual distribution networks: (<b>a</b>) estimation results of voltage magnitude; (<b>b</b>) estimation results of voltage angle.</p>
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<p>Comparison of state estimation results for an actual distribution network system: (<b>a</b>) comparison of absolute error of node voltage magnitude; (<b>b</b>) comparison of absolute error of node voltage angle.</p>
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<p>Comparison of average absolute error of state estimation results of an actual distribution network system: (<b>a</b>) comparison of average absolute error of voltage magnitude; (<b>b</b>) comparison of average absolute error of voltage angle.</p>
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