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Search Results (1,288)

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28 pages, 5569 KiB  
Article
Hollow Direct Air-Cooled Rotor Windings: Conjugate Heat Transfer Analysis
by Avo Reinap, Samuel Estenlund and Conny Högmark
Machines 2025, 13(2), 89; https://doi.org/10.3390/machines13020089 - 23 Jan 2025
Abstract
This article focuses on the analysis of a direct air-cooled rotor winding of a wound field synchronous machine, the innovation of which lies in the increase in the internal cooling surface, the cooling of the winding compared to the conventional inter-pole cooling, and [...] Read more.
This article focuses on the analysis of a direct air-cooled rotor winding of a wound field synchronous machine, the innovation of which lies in the increase in the internal cooling surface, the cooling of the winding compared to the conventional inter-pole cooling, and the development of a CHT evaluation model accordingly. Conjugate heat transfer (CHT) analysis is used to explore the cooling efficacy of a parallel-cooled hollow-conductor winding of a salient-pole rotor and to identify a cooling performance map. The use of high current densities of 15–20 Arms/mm2 in directly cooled windings requires high cooling intensity, which in the case of air cooling results not only in flow velocities above 15 m/s to ensure permissible operating temperatures, but also the need for coolant distribution and heat transfer studies. The experiments and calculations are based on a non-rotating machine and a wind tunnel using the same rotor coil(s). CHT-based thermal calculations provide not only reliable results compared to experimental work and lumped parameter thermal circuits with adjusted aggregate parameters, but also insight related to pressure and cooling flow distribution, thermal loads, and cooling integration issues that are necessary for the development of high power density and reliable electrical machines. The results of the air-cooling integration show that the desired high current density is achievable at the expense of high cooling intensity, where the air velocity ranges from 15 to 30 m/s and 30 to 55 m/s, distinguishing the air velocity of the hollow conductor and bypass channel, compared to the same coil in an electric machine and a wind tunnel at the similar thermal load and limit. Since the hot spot location depends on cooling integration and cooling intensity, modeling and estimating the cooling flow is essential in the development of wound-field synchronous machines. Full article
(This article belongs to the Section Electrical Machines and Drives)
21 pages, 3829 KiB  
Article
An Effective Single-Station Cooperative Node Localization Technique Using Multipath Spatiotemporal Information
by Di Bai, Xinran Li, Lingyun Zhou, Chunyong Yang, Yongqiang Cui, Liyun Bai and Yunhao Chen
Sensors 2025, 25(3), 631; https://doi.org/10.3390/s25030631 - 22 Jan 2025
Viewed by 230
Abstract
Precise cooperative node localization is essential for the application of multifunctional integrated radio frequency (RF) sensor networks in military and civilian domains. Most geometric localization methods commonly rely on observation data from multiple receiving nodes or anchor points with known positions and synchronized [...] Read more.
Precise cooperative node localization is essential for the application of multifunctional integrated radio frequency (RF) sensor networks in military and civilian domains. Most geometric localization methods commonly rely on observation data from multiple receiving nodes or anchor points with known positions and synchronized clocks, producing complex system architectures and high construction costs. To address this, our paper proposes an effective single-station cooperative node localization technique, where the observation station only requires two antennas for operation. Leveraging prior knowledge of the geometry of surrounding structures, multiple virtual stations (VSs) are constructed by mining the spatiotemporal information contained in the multipath components (MPCs) to realize target positioning. The proposed method consists of two steps. In the first step, an unambiguous dual-antenna direction-finding algorithm is designed to extract the spatial information of MPCs and construct VSs, allowing a preliminary estimate of the source position (SP). In the second step, the path delays are extracted via matched filtering, while the spatiotemporal information is correlated based on the energy distribution for a more precise SP estimation. Simulations and experimental results demonstrate that our algorithm achieves high-precision single-station localization for a collaborative node, with positioning accuracy typically within 0.1 m. Full article
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<p>Positioning algorithm model diagram.</p>
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<p>(<b>a</b>) Dual-antenna direction-finding system model; (<b>b</b>) circular synthetic aperture.</p>
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<p>(<b>a</b>) Signal propagation diagram simulated by WinProp; (<b>b</b>) path propagation analysis for (<b>a</b>), where the red path (<math display="inline"><semantics> <mrow> <mi>P</mi> <mi>a</mi> <mi>t</mi> <mi>h</mi> <mn>1</mn> </mrow> </semantics></math>) represents the direct path, while the blue path (<math display="inline"><semantics> <mrow> <mi>P</mi> <mi>a</mi> <mi>t</mi> <mi>h</mi> <mn>2</mn> </mrow> </semantics></math>) denotes the reflected path.</p>
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<p>Direction-finding simulation analysis results.</p>
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<p>Simulation detection delay spectrum.</p>
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<p>RMSE results versus <math display="inline"><semantics> <mrow> <mi>d</mi> </mrow> </semantics></math>.</p>
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<p>RMSE results versus SNR.</p>
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<p>Sensor hardware design overall block diagram.</p>
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<p>(<b>a</b>) Dual-channel RF transceiver; (<b>b</b>) physical board of the RF transceiver.</p>
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<p>Test equipment and scene diagram.</p>
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<p>Direction-finding scenario experimental analysis results.</p>
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<p>Delay spectrum of scenario experiment.</p>
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17 pages, 3273 KiB  
Article
Joint Frequency Stabilisation in Future 100% Renewable Electric Power Systems
by Lisanne Reese, Arne Rettig, Clemens Jauch, Richard Johannes Domin and Tom Karshüning
Energies 2025, 18(2), 418; https://doi.org/10.3390/en18020418 - 18 Jan 2025
Viewed by 520
Abstract
Due to the energy transition, the future electric power system will face further challenges that affect the functionality of the electricity grid and therefore the security of supply. For this reason, this article examines the future frequency stabilisation in a 100% renewable electric [...] Read more.
Due to the energy transition, the future electric power system will face further challenges that affect the functionality of the electricity grid and therefore the security of supply. For this reason, this article examines the future frequency stabilisation in a 100% renewable electric power system. A focus is set on the provision of inertia and frequency containment reserve. Today, the frequency stabilisation in most power systems is based on synchronous generators. By using grid-forming frequency converters, a large potential of alternative frequency stabilisation reserves can be tapped. Consequently, frequency stabilisation is not a problem of existing capacities but whether and how these are utilised. Therefore, in this paper, a collaborative approach to realise frequency stabilisation is proposed. By distributing the required inertia and frequency containment reserve across all technologies that are able to provide it, the relative contribution of each individual provider is low. To cover the need for frequency containment reserve, each capable technology would have to provide less than 1% of its rated power. The inertia demand can be covered by the available capacities at a coverage ratio of 171% (excluding wind power) to 217% (all capacities). As a result, it is proposed that provision of frequency stabilisation is made mandatory for all capable technologies. The joint provision distributes the burden of frequency stabilisation across many participants and hence increases redundancy. It ensures the stability of future electricity grids, and at the same time, it reduces the technological and economic effort. The findings are presented for the example of the German electricity grid. Full article
(This article belongs to the Special Issue Energy, Electrical and Power Engineering: 3rd Edition)
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<p>One-minute average of the absolute <span class="html-italic">RoCoF</span> in the continental European grid over the time of the day, from 2016 to 2022, own creation based on data of Thiesen et al. [<a href="#B5-energies-18-00418" class="html-bibr">5</a>]. The position of each year number indicates the start of the respective year.</p>
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<p>Order of frequency control measurements [<a href="#B14-energies-18-00418" class="html-bibr">14</a>], permitted use under the terms of the Creative Commons Attribution licence.</p>
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<p>Tendered FCR in MW in Germany, own creation based on data from Bundesnetzagentur (Federal Network Agency) (2023) [<a href="#B15-energies-18-00418" class="html-bibr">15</a>].</p>
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<p>Today’s power generation portfolio in Germany, including batteries, from 2016 to 2024, own creation based on data of Bundesnetzagentur (Federal Network Agency) (2023) [<a href="#B16-energies-18-00418" class="html-bibr">16</a>] and Figgener et al. (2023) [<a href="#B17-energies-18-00418" class="html-bibr">17</a>].</p>
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<p>Future power generation portfolio in Germany in 2045, including batteries, own creation based on data of Fraunhofer ISE (2021) [<a href="#B20-energies-18-00418" class="html-bibr">20</a>]. (The abbreviation CCGT stands for combined cycle gas turbine).</p>
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<p>Inertia provision by technology of the current and past electric power system, own creation based on data of Fraunhofer ISE (2021) [<a href="#B20-energies-18-00418" class="html-bibr">20</a>].</p>
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<p>Inertia provision by technology in the future electric power system, own creation based on data of Fraunhofer ISE (2021) [<a href="#B20-energies-18-00418" class="html-bibr">20</a>]. The sequence of stacked technologies in this figure is identical with the sequence in <a href="#energies-18-00418-f005" class="html-fig">Figure 5</a>.</p>
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13 pages, 2836 KiB  
Technical Note
Satellite Observations Reveal Declining Diatom Concentrations in the Three Gorges Reservoir: The Impacts of Dam Construction and Local Climate
by Menglan Gan, Lei Feng, Jingan Shao, Li Feng, Yao Wang, Meiling Liu, Ling Wu and Botian Zhou
Remote Sens. 2025, 17(2), 309; https://doi.org/10.3390/rs17020309 - 16 Jan 2025
Viewed by 321
Abstract
An effective satellite observation system is developed to retrieve the diatom concentration in freshwater ecosystems that could be utilized for understanding aquatic biogeochemical cycles. Although the singular value decomposition-based retrieval model can reflect the complicated diatom dynamics, the spatial distribution and temporal trend [...] Read more.
An effective satellite observation system is developed to retrieve the diatom concentration in freshwater ecosystems that could be utilized for understanding aquatic biogeochemical cycles. Although the singular value decomposition-based retrieval model can reflect the complicated diatom dynamics, the spatial distribution and temporal trend in diatom concentration on a large scale, as well as its driving mechanism, remain prevalently elusive. Based on the Google Earth Engine platform, this study uses Sentinel-2 MultiSpectral Instrument imagery to track the comprehensive diatom dynamics in a large reservoir, i.e., the Three Gorges Reservoir, in China during the years 2019–2023. The results indicate that a synchronous diatom distribution is found between the upstream and downstream artificial lakes along the primary tributary in the Three Gorges Reservoir, and the causal relationships between the declining diatom trend and hydrological/meteorological drivers on the monthly and yearly scales are highlighted. Moreover, the Sentinel-derived diatom concentration can be used to ascertain whether the dominant algae are harmful during bloom periods and aid in distinguishing algal blooms from ship oil spills. This study is a significant step forward in tracking the diatom dynamics in a large-scale freshwater ecosystem involving complex coupling drivers. Full article
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Figure 1
<p>Location of Lakes Hanfeng and Gaoyang (indicated by blue boxes) along the Xiaojiang River in the TGR, China. The red numbers 1–5 represent the five sampling sites.</p>
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<p>Microscopic photographs of (<b>a</b>) <span class="html-italic">Navicula</span> sp. and (<b>b</b>) <span class="html-italic">Nitzschia</span> sp.</p>
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<p>Flowchart of retrieval of diatom concentration.</p>
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<p>Scatter plots indicating contrast between the retrieval and measured diatom concentrations in the typical TGR tributary. N is the sample sum of field observations consistent with satellite observations.</p>
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<p>Diatom distribution examples in (<b>a</b>) the Xiaojiang River, (<b>b</b>) upstream Lake Hanfeng, and (<b>c</b>) downstream Lake Gaoyang through a hydrological year.</p>
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<p>Time series of mean diatom concentrations in (<b>a</b>) the Xiaojiang River, (<b>b</b>) upstream Lake Hanfeng, and (<b>c</b>) downstream Lake Gaoyang from 2019 to 2023. The horizontal dashed line indicates the threshold of diatom bloom occurrence, i.e., diatom concentration = 10 μg/L.</p>
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<p>Boxplots for monthly mean diatom concentrations in (<b>a</b>) the Xiaojiang River, (<b>b</b>) upstream Lake Hanfeng, and (<b>c</b>) downstream Lake Gaoyang from 2019 to 2023. The dashed lines denote the monthly diatom trends, and the solid lines connect the monthly mean diatom concentrations.</p>
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<p>Boxplots for yearly mean diatom concentrations in (<b>a</b>) the Xiaojiang River, (<b>b</b>) upstream Lake Hanfeng, and (<b>c</b>) downstream Lake Gaoyang from 2019 to 2023. The dashed lines denote the yearly diatom trends, and the solid lines connect the yearly mean diatom concentrations.</p>
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<p>Causal correlations between driving factors and absolute values of (<b>a</b>) monthly and (<b>b</b>) yearly mean diatom concentrations, as well as the relative contributions of driving factors to (<b>c</b>) monthly and (<b>d</b>) yearly diatom trends.</p>
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<p>Comparative examples between field photographs of (<b>a</b>) harmless diatom bloom (Lake Gaoyang in April 2023) and (<b>b</b>) ship oil spill (Rotterdam, The Netherlands, in April 2019).</p>
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22 pages, 11357 KiB  
Article
Enhancement of Fracture Toughness of NiTi Alloy by Controlling Grain Size Gradient
by Kai Huang, Zhongzheng Deng and Hao Yin
Nanomaterials 2025, 15(2), 125; https://doi.org/10.3390/nano15020125 - 16 Jan 2025
Viewed by 349
Abstract
Fracture toughness is a critical indicator for the application of NiTi alloys in medical fields. We propose to enhance the fracture toughness of NiTi alloys by controlling the spatial grain size (GS) gradient. Utilizing rolling processes and heat treatment technology, three categories of [...] Read more.
Fracture toughness is a critical indicator for the application of NiTi alloys in medical fields. We propose to enhance the fracture toughness of NiTi alloys by controlling the spatial grain size (GS) gradient. Utilizing rolling processes and heat treatment technology, three categories of NiTi alloys with distinct spatial GS distributions were fabricated and subsequently examined through multi-field synchronous fracture tests. It is found that the one with a locally ultra-high GS gradient (20 nm−3.4 μm) has significantly enhanced fracture toughness, which is as high as 412% of that of the normally distributed nano-grains with an average GS of 8 nm and 178% of that of the coarse-grains with an average GS of 100 nm. Theoretical analysis reveals that in such a gradient structure, phase transition in the coarse-grained matrix greatly absorbs the surface energy of subcritical and stable propagation. Meanwhile, the locally non-uniform GS distribution leads to deviation and tortuosity of the crack path, increasing the critical fracture stress. Furthermore, the nanocrystalline clusters distributed in the form of network nodes reduce the stress intensity factor due to their higher elastic modulus compared to the coarse-grained matrix. This work provides guidance for developing new gradient nanostructured NiTi alloys with high fracture toughness. Full article
(This article belongs to the Special Issue Mechanical Properties and Applications for Nanostructured Alloys)
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<p>Using synchronous cold-rolling, the received CG plate is repeatedly rolled to reduce its thickness to 2.4 mm, resulting in grain refinement. Subsequently, CT specimens can be obtained from the cold-rolled plates through wire cutting, with the specific dimensional information provided.</p>
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<p>Material process for achieving a locally high GS gradient. By employing synchronous rolling to reduce thickness and refine grains, followed by enhancing shear strain through asymmetrical rolling, a complex mixed structure is achieved that contains nanocrystalline nuclei, high-density nano-metastable structures, and amorphous phases. Locally high-gradient samples are produced through rapid annealing, a process characterized by non-uniform growth during recrystallization, with different colors indicating distinct grains.</p>
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<p>(<b>a</b>) A high-quality DIC surface featuring fine speckle patterns of varying sizes and gray levels from the tested CT sample. (<b>b</b>) Multi-field synchronous fracture testing system, including details on sample installation and instrument information.</p>
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<p>Microstructure characterization results of various samples with normal GS distributions: bright field images, statistical results of grain size distribution, and the corresponding annealing methods.</p>
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<p>Schematic illustration of the temperature gradient across the CT sample and the distribution of the selected region. The TEM results at the selected positions of the sample GL reveal the macroscopic unidirectional GS gradient.</p>
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<p>SEM observation and analysis of the sample HG2: (<b>a</b>) the SEM morphology with a corresponding IPF map shows fine grains dispersing within CGs, forming a dense network structure; (<b>b</b>) at higher magnification, NGs are reticulated around CGs in the form of clusters, resulting in an ultra-high GS gradient; (<b>c</b>) statistics on GB misorientation angles indicate the small-angle GBs account for the vast majority; (<b>d</b>) pole figures (PFs) indicate that the texture of the sample HG2 is close to the {111} Brass type.</p>
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<p>Microstructural characterization of three representative regions selected from the sample HG2. (<b>a</b>) Several coarse grains are interspersed with many nano subgrains and precipitated phases located at the grain boundaries and within the interior of the grains. Region 1 contains a small amount of Ni<sub>2</sub>Ti precipitates in the annealed B<sub>2</sub> austenite matrix. (<b>b</b>) Dense nano subgrains and precipitated phases form clusters around larger crystals. (<b>c</b>) Ni<sub>2</sub>Ti precipitates (yellow dashed frame) coexist with austenite nanocrystalline subgrains, mixed with a small amount of elongated B<sub>19′</sub> phase (green solid lines).</p>
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<p>(<b>a</b>) <span class="html-italic">P</span>-<span class="html-italic">COD</span> curves of different categories of samples. (<b>b</b>) Comparison of the <span class="html-italic">J</span>-Δ<span class="html-italic">a</span> curves of typical resilient samples.</p>
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<p>Thermomechanical fracture behavior of sample N2: (<b>a</b>) The DIC images and the strain (<span class="html-italic">ε</span><sub>yy</sub>) distribution under various load conditions. (<b>b</b>) The thermal images at the fracture moments and the average temperatures of the four selected areas over time. The instantaneous fracture, minimal strain, and temperature variation at the crack tip indicate the typical brittle characteristics.</p>
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<p>Fracture behavior of sample N5: (<b>a</b>) the DIC images and the corresponding strain distributions; (<b>b</b>) the thermal images and the average temperatures of the four selected areas over time. Strain oscillations occur during subcritical expansion, while temperature accumulation arises from PT and plastic deformation during unstable expansion.</p>
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<p>Fracture behavior of sample HG2 at different loading moments. (<b>a</b>) The DIC images and the corresponding strain distributions. (<b>b</b>) The thermal images and the average temperatures of the four selected areas with time. The crack continues to propagate steadily with large temperature accumulations.</p>
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<p>Schematic diagram of different stages of cracks and the SEM fracture morphologies at selected stages on the surfaces of typical samples.</p>
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<p>Schematic diagram of the subcritical propagation path of sample HG2. There are three types of zones affecting the crack path. Zone A: The CG region consumes the surface energy by PT. Zone B: Deviation and tortuosity of the crack path caused by locally non-uniform GS distribution. Zone C: NG clusters with mixed precipitates change the modulus of the front tip. The characteristics of these three regions collectively influence the trajectory and energy of subcritical crack propagation.</p>
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<p>(<b>a</b>) Schematic diagram of the stress field of the CGs in region A of <a href="#nanomaterials-15-00125-f012" class="html-fig">Figure 12</a>. The PT and plastic deformation near the crack tip absorb a significant amount of crack opening energy. A high strain gradient is formed from the crack tip to the opposite end. Determination method of the radius (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>) and strain magnitude (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>ε</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>) of the PT toughening zone. (<b>b</b>) Comparison of strain fields before fracture for three typical samples, along with a comparison of the <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>ε</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> values for all the samples. (<b>c</b>) The ultimate tensile strength, fracture strain, and hysteresis can be determined by the stress–strain response of micro-bulks at the crack tip under uniaxial tension. (<b>d</b>) Comparison of hysteresis (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>U</mi> </mrow> <mrow> <mi mathvariant="normal">t</mi> </mrow> </msub> <mo>)</mo> </mrow> </semantics></math> for typical samples.</p>
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<p>(<b>a</b>) The mixed-typed cracks with inclination angle <span class="html-italic">β</span>; (<b>b</b>) the effect of crack inclination angle <span class="html-italic">β</span> on critical fracture stress at different fracture toughness levels.</p>
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<p>(<b>a</b>) Distribution of the micro-elements represents the NG clusters in front of the CG region of the crack tip. The effect of the ratio between the radius of the NG cluster and its distance from the crack tip on <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mo>Δ</mo> <mi>K</mi> </mrow> <mrow> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">p</mi> </mrow> <mrow> <mi mathvariant="normal">I</mi> </mrow> </msubsup> <mo>/</mo> <msubsup> <mrow> <mi>K</mi> </mrow> <mrow> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">p</mi> <mi mathvariant="normal">p</mi> </mrow> <mrow> <mi mathvariant="normal">I</mi> </mrow> </msubsup> </mrow> </semantics></math> under various <span class="html-italic">θ</span> angles: (<b>b</b>) <span class="html-italic">θ</span> = 0°; (<b>c</b>) <span class="html-italic">θ</span> = 20°; (<b>d</b>) <span class="html-italic">θ</span> = 40°.</p>
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15 pages, 4731 KiB  
Article
Migration Phenology and Spatial Distribution of Soaring Birds in Greece: From Citizen Science Data to Implications for Monitoring and Conservation Strategies
by Anastasios Bounas, Nikos Tsiopelas, Angelos Evangelidis and Christos Barboutis
Birds 2025, 6(1), 6; https://doi.org/10.3390/birds6010006 - 16 Jan 2025
Viewed by 432
Abstract
Timing and spatial distribution patterns of migratory birds are crucial for their conservation, particularly in Greece, which serves as a vital migratory corridor between Europe, Asia, and Africa. Traditional monitoring methods face challenges due to resource limitations and the country’s complex geography. This [...] Read more.
Timing and spatial distribution patterns of migratory birds are crucial for their conservation, particularly in Greece, which serves as a vital migratory corridor between Europe, Asia, and Africa. Traditional monitoring methods face challenges due to resource limitations and the country’s complex geography. This study aimed to determine the migration phenology and spatial distribution of 18 species of raptors and soaring birds in Greece using citizen science data from eBird, analyzed with generalized additive models (GAMs). We processed 15,940 checklists for spring migration and 9131 for autumn migration from 2010 to 2023. GAMs successfully modeled the migration phenology for most species, revealing variable peak migration dates in spring and more synchronized migration in autumn, with most species migrating in early September. A spatial analysis highlighted the importance of coastal areas and islands (particularly the Aegean islands and Crete) as key migratory routes and stopover sites. Validation with standardized counts from the Antikythira Bird Observatory showed some discrepancies, emphasizing the limitations of relying on a single monitoring site and the value of broad-scale citizen science data. Our findings demonstrate the effectiveness of integrating citizen science data with robust analytical techniques to fill knowledge gaps, providing valuable insights for designing monitoring programs and informing conservation strategies. Full article
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Figure 1
<p>GAM-derived spring migration curves along with migration midpoints (0.5 quantile, dotted line) for 16 species in Greece based on citizen science data. The shaded areas under each curve show the migration range (0.1 and 0.9 quantiles). The colors denote morphological groups (green = harriers, red = eagles, yellow = other raptors, orange = falcons, blue = other soaring birds).</p>
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<p>GAM-derived autumn migration curves along with migration midpoints (0.5 quantile, dotted line) for 16 species in Greece based on citizen science data. The shaded areas under each curve show the migration range (0.1 and 0.9 quantiles). The colors denote morphological groups (green = harriers, red = eagles, yellow = other raptors, orange = falcons, blue = other soaring birds).</p>
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<p>Relative intensity of autumn migration for 16 species in Greece based on standardized counts from the Antikythira Bird Observatory. The vertical lines correspond with the species’ first and third quantile passage dates (dashed) and median migration dates (solid). The colors denote morphological groups (green = harriers, red = eagles, yellow = other raptors, orange = falcons, blue = other soaring birds).</p>
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<p>Scatter plot and correlation between GAM-derived (citizen science data) estimates of peak migration days and peak migration estimates based on standardized counts from the Antikythira Bird Observatory for the 16 species included in the analysis. Shading represents standard error.</p>
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<p>Frequency of occurrence maps during spring migration for the 16 species included in the analysis in a 20 km grid across Greece. The color scale is used to represent frequency of occurrence ranges from 0 (a species is not present in any of the eBird checklists submitted at the grid cell) to 1 (a species is present in all eBird checklists submitted at the grid cell).</p>
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<p>Frequency of occurrence maps during autumn migration for the 16 species included in the analysis in a 20 km grid across Greece. The color scale is used to represent frequency of occurrence ranges from 0 (a species is not present in any of the eBird checklists submitted at the grid cell) to 1 (a species is present in all eBird checklists submitted at the grid cell).</p>
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26 pages, 19399 KiB  
Article
The Status of Wild Grapevine (Vitis vinifera L. subsp. sylvestris (C.C. Gmel.) Hegi) Populations in Georgia (South Caucasus)
by Gabriele Cola, Gabriella De Lorenzis, Osvaldo Failla, Nikoloz Kvaliashvili, Shengeli Kikilashvili, Maia Kikvadze, Londa Mamasakhlisashvili, Irma Mdinaradze, Ramaz Chipashvili and David Maghradze
Plants 2025, 14(2), 232; https://doi.org/10.3390/plants14020232 - 15 Jan 2025
Viewed by 511
Abstract
Repeated expeditions across various regions of Georgia in the early 2000s led to the identification of 434 wild grapevine individuals (Vitis vinifera L. subsp. sylvestris (C.C. Gmel.) Hegi) across 127 different sites, with 45% of these sites containing only a single vine [...] Read more.
Repeated expeditions across various regions of Georgia in the early 2000s led to the identification of 434 wild grapevine individuals (Vitis vinifera L. subsp. sylvestris (C.C. Gmel.) Hegi) across 127 different sites, with 45% of these sites containing only a single vine and only 7% more than 9 vines. A total of 70 accessions were propagated in a germplasm collection, 41 of them were descripted from the ampelographic point of view and 32 from the phenological one. The geographical and ecological analysis confirmed that wild grapevines primarily grow in humid environments with warm and fully humid climates, often near rivers. They favor deep, fertile, and evolved soils, mainly alluvial and cinnamonic types (80%), with a marginal presence on strongly eroded soils. Their main natural vegetations are forests and open woodlands, with some individuals in the Southeast found in steppes. The altitudinal range spans from 0 to 1200 m, with 80% of vines distributed between 400 and 900 m. The phenological analysis revealed significant differences among the accessions but no difference among populations, with only a slight variation in bud-break timing, indicating a high level of synchronicity overall. Flowering timing proved to be the most uniform stage, suggesting minimal environmental pressure on genetic adaptation. The mature leaf morphology exhibited significant polymorphism, though leaves were generally three- or five-lobed, weak-wrinkling, and -blistering, with a low density of hairs. Bunch and berry morphology were more uniform. Bunches were consistently very small, cylindrical, and never dense or winged. Berries were also very small, mostly globular, always blue-black in color, and non-aromatic. A striking feature was the frequency of red flesh coloration, which ranged from weak to strong, with uncolored flesh being rare. The Georgian population of wild grapevines was found to be fragmented, often consisting of scattered single individuals or small groups. Therefore, we believe it is urgent for Georgia to implement specific protection measures to preserve this vital genetic resource. Full article
(This article belongs to the Section Plant Ecology)
Show Figures

Figure 1

Figure 1
<p>Distribution map of wild <span class="html-italic">Vitis vinifera</span> L. populations in Georgia for the second half of the 20th century [<a href="#B57-plants-14-00232" class="html-bibr">57</a>]. (1) Saingilo, (2) Kakheti—the banks of Alazani and Iori rivers, (3) Lower Kartli, (4) Inner Kartli, (5) Upper Imereti, (6), Racha-Lechkhumi, (7) the Black See Regions of Adjara and Abkhazeti, (8) Samtskhe–Javakheti (i.e., Meskheti).</p>
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<p>Box and whiskers plot, showing the population phenological course of 2019 (<b>a</b>), 2020 (<b>b</b>), and 2021 (<b>c</b>). For each value, X represents the average, the horizontal line is the median, and the box extends from upper to lower quartile. The whiskers (vertical lines outside the box) represent data variability outside the upper and lower quartiles. Points outside the whisker line represent the outlier data. Legend: 1 = beginning of bud swelling; 9 = bud break; 61 = beginning of flowering; 65 = full flowering; 71 = fruit set; 75 = berries pea-sized; 79 = majority of berries touching; 81 = beginning of ripening; 85 = softening of berries; 89 = berries ripe.</p>
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<p>3D scatter plot of the deviation from the population average of the date of occurrence of BBCH 9 (bud break) as a function of elevation and longitude.</p>
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<p>(<b>a</b>) Site distribution in relation to the number of wild vines per site and (<b>b</b>) frequency distribution of the detected sites in relation to the number of individuals growing in the site.</p>
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<p>(<b>a</b>) Map of wild grapevine sampling sites and Köppen climate types [<a href="#B65-plants-14-00232" class="html-bibr">65</a>,<a href="#B66-plants-14-00232" class="html-bibr">66</a>], (<b>b</b>) distribution of the individuals along the climate types. The frequency of distribution (%) is shown above the bars.</p>
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<p>(<b>a</b>) Map of wild grapevine sampling sites and administrative regions, (<b>b</b>) distribution of the individuals along the regions. The frequency of distribution (%) is shown above the bars.</p>
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<p>(<b>a</b>) Map of wild grapevine sampling sites and elevation, (<b>b</b>) distribution of the individuals along the elevation ranges. The frequency of distribution (%) is shown above the bars.</p>
Full article ">Figure 8
<p>(<b>a</b>) Map of wild grapevine sampling sites and soil types, (<b>b</b>) distribution of the individuals along the soil types. The frequency of distribution (%) is shown above the bars. Soil classifications [<a href="#B67-plants-14-00232" class="html-bibr">67</a>] provided in <a href="#plants-14-00232-t0A4" class="html-table">Table A4</a>.</p>
Full article ">Figure 9
<p>(<b>a</b>) Map of wild grapevine sampling sites and main water catchment basins, (<b>b</b>) distribution of the individuals along the basins. The frequency of distribution (%) is shown above the bars.</p>
Full article ">Figure 10
<p>(<b>a</b>) Map of wild grapevine sampling sites and vegetation formations, (<b>b</b>) distribution of the individuals along the vegetation formations. The frequency of distribution (%) is shown above the bars. Botanical classification [<a href="#B68-plants-14-00232" class="html-bibr">68</a>] is provided in <a href="#plants-14-00232-t0A5" class="html-table">Table A5</a>.</p>
Full article ">Figure A1
<p>Frequency distribution of the ampelographic polymorphic traits.</p>
Full article ">Figure A2
<p>Location of the populations selected for ampelography and phenology analysis conducted in the Jighaura collection.</p>
Full article ">
30 pages, 5973 KiB  
Article
Versatile LCL Inverter Model for Controlled Inverter Operation in Transient Grid Calculation Using the Extended Node Method
by Daniela Vorwerk and Detlef Schulz
Energies 2025, 18(2), 344; https://doi.org/10.3390/en18020344 - 14 Jan 2025
Viewed by 386
Abstract
Due to increasing decentralized power applications, power electronics are gaining importance, also in distribution grids. Since their scope of investigation is diverse, their versatile models and their use in grid calculations are important. In this work, a three-phase grid-synchronous inverter with an LCL [...] Read more.
Due to increasing decentralized power applications, power electronics are gaining importance, also in distribution grids. Since their scope of investigation is diverse, their versatile models and their use in grid calculations are important. In this work, a three-phase grid-synchronous inverter with an LCL filter is considered. It is defined as a component of the “Extended Node Method” to make it applicable in this node-based transient grid calculation method. Because the component stucture always looks the same and the construction of the grid system of equations always follows the same, straightforward process, the model can be applied easily and several times to large network calculations. Furthermore, an approach is developed for how inverter control algorithms are interconnected with the method’s results in the time domain. This allows for the fast analysis of converter control schemes in different grid topologies. To evaluate its accuracy, the developed approach is compared to equivalent calculations with Simulink and shows very good agreement, also for steep transients. In the long term, this model is intended to bridge the gap to other DC systems like electrochemical components and to gas and heating networks with the Extended Node Method. Full article
Show Figures

Figure 1

Figure 1
<p>Two-level three-phase grid-tied inverter with LCL filter configuration.</p>
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<p>Single-phase electric circuit diagram of grid-tied inverter with LCL filter.</p>
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<p>Single-phase electric circuit diagram of grid-tied inverter with LCL filter and parallel damping conductance.</p>
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<p>Single-phase electric circuit diagram of grid-tied inverter with LCL filter and series damping resistor.</p>
Full article ">Figure 5
<p>Cascaded grid current control loop for inverter with basic LCL filter in dq frame.</p>
Full article ">Figure 6
<p>Synchronous reference frame phase-locked loop (PLL) for grid synchronization based on [<a href="#B49-energies-18-00344" class="html-bibr">49</a>].</p>
Full article ">Figure 7
<p>Combined grid calculation with the Extended Node Method and inverter control, basically taken from [<a href="#B36-energies-18-00344" class="html-bibr">36</a>] and expanded with the LCL inner states and the interface with the cascaded current controller.</p>
Full article ">Figure 8
<p>Bode plot of selected LCL filter design with exact values and <math display="inline"><semantics> <mrow> <mo>±</mo> <mn>20</mn> </mrow> </semantics></math>% tolerance.</p>
Full article ">Figure 9
<p>Single-phase electric circuit diagram for single grid-connected inverter with LCL filter.</p>
Full article ">Figure 10
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> with grid impedance <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>0.16</mn> </mrow> </semantics></math> mH and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>0.12</mn> <mspace width="0.166667em"/> <mo>Ω</mo> </mrow> </semantics></math>: (<b>a</b>) Inverter terminal current <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi>A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal current and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltage <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 10 Cont.
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> with grid impedance <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>0.16</mn> </mrow> </semantics></math> mH and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>0.12</mn> <mspace width="0.166667em"/> <mo>Ω</mo> </mrow> </semantics></math>: (<b>a</b>) Inverter terminal current <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi>A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal current and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltage <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 11
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> with grid impedance <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> mH and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>1.51</mn> <mspace width="0.166667em"/> <mo>Ω</mo> </mrow> </semantics></math>: (<b>a</b>) Inverter terminal current <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi mathvariant="normal">A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal current and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltage <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 12
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> with grid impedance <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math> mH and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>6.03</mn> <mspace width="0.166667em"/> <mo>Ω</mo> </mrow> </semantics></math>: (<b>a</b>) Inverter terminal current <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi mathvariant="normal">A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal current and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltage <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 13
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> with grid impedance <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math> mH and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi mathvariant="normal">g</mi> </msub> <mo>=</mo> <mn>6.03</mn> <mspace width="0.166667em"/> <mo>Ω</mo> </mrow> </semantics></math> for varying filter parameters with <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>L</mi> <mo stretchy="false">˜</mo> </mover> <mrow> <mi mathvariant="normal">f</mi> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mi>ζ</mi> <msub> <mi>L</mi> <mrow> <mi mathvariant="normal">f</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>L</mi> <mo stretchy="false">˜</mo> </mover> <mrow> <mi mathvariant="normal">f</mi> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>ζ</mi> <msub> <mi>L</mi> <mrow> <mi mathvariant="normal">f</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mover accent="true"> <mi>C</mi> <mo stretchy="false">˜</mo> </mover> <mo>=</mo> <mi>ζ</mi> <mi>C</mi> </mrow> </semantics></math>: (<b>a</b>) Inverter terminal current <math display="inline"><semantics> <mrow> <msub> <mi>i</mi> <mrow> <mi mathvariant="normal">A</mi> <mo>,</mo> <mi mathvariant="normal">c</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal currents <math display="inline"><semantics> <msub> <mi>I</mi> <mi mathvariant="normal">d</mi> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>I</mi> <mi mathvariant="normal">q</mi> </msub> </semantics></math>. (<b>c</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 14
<p>Grid topology of sample network ’Simbench rural’ with connected inverters at nodes 5 and 9.</p>
Full article ">Figure 15
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math> in the Simbench rural testgrid for study case 1. (<b>a</b>) Inverter terminal currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi mathvariant="normal">A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal currents and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltages <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 15 Cont.
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math> in the Simbench rural testgrid for study case 1. (<b>a</b>) Inverter terminal currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi mathvariant="normal">A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal currents and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltages <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
Full article ">Figure 16
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math> in the Simbench rural testgrid for study case 1 (<b>a</b>) Inverter source currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi>sc</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter source currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">I</mi> <mrow> <mi>sc</mi> <mo>,</mo> <mi>dq</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>c</b>) Capacitor voltage reference <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">U</mi> <mrow> <mi mathvariant="normal">C</mi> <mo>,</mo> <mi>dq</mi> </mrow> <mo>*</mo> </msubsup> </mrow> </semantics></math> and actual voltage <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mrow> <mi mathvariant="normal">C</mi> <mo>,</mo> <mi>dq</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>d</b>) Inverter modulation signal <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">m</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>.</p>
Full article ">Figure 17
<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math> in the Simbench rural testgrid for study case 2. (<b>a</b>) Inverter terminal currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi mathvariant="normal">A</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter terminal currents and current references <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">I</mi> <mi>dq</mi> <mo>*</mo> </msubsup> </mrow> </semantics></math>. (<b>c</b>) PCC voltages <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">u</mi> <mi>abc</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>. (<b>d</b>) Grid active and reactive power references <math display="inline"><semantics> <msup> <mi>P</mi> <mo>*</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mi>Q</mi> <mo>*</mo> </msup> </semantics></math> and actual power <span class="html-italic">P</span> and <span class="html-italic">Q</span>.</p>
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<p>System responses to sudden changes in active and reactive inverter power references <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>1</mn> <mo>*</mo> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math>, <math display="inline"><semantics> <msubsup> <mi>Q</mi> <mn>2</mn> <mo>*</mo> </msubsup> </semantics></math> in the Simbench rural testgrid for study case 2. (<b>a</b>) Inverter source currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">i</mi> <mrow> <mi>sc</mi> <mo>,</mo> <mi>abc</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Inverter source currents <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">I</mi> <mrow> <mi>sc</mi> <mo>,</mo> <mi>dq</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>c</b>) Capacitor voltage reference <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="bold-italic">U</mi> <mrow> <mi mathvariant="normal">C</mi> <mo>,</mo> <mi>dq</mi> </mrow> <mo>*</mo> </msubsup> </mrow> </semantics></math> and actual voltage <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">U</mi> <mrow> <mi mathvariant="normal">C</mi> <mo>,</mo> <mi>dq</mi> </mrow> </msub> </mrow> </semantics></math>. (<b>d</b>) Inverter modulation signal <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="bold-italic">m</mi> <mi>dq</mi> </msub> </mrow> </semantics></math>.</p>
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22 pages, 18877 KiB  
Article
Multi-Centroid Extraction Method for High-Dynamic Star Sensors Based on Projection Distribution of Star Trail
by Xingyu Tang, Qipeng Cao, Zongqiang Fu, Tingting Xu, Rui Duan and Xiubin Yang
Remote Sens. 2025, 17(2), 266; https://doi.org/10.3390/rs17020266 - 13 Jan 2025
Viewed by 335
Abstract
To improve the centroid extraction accuracy and efficiency of high-dynamic star sensors, this paper proposes a multi-centroid localization method based on the prior distribution of star trail projections. First, the mapping relationship between attitude information and star trails is constructed based on a [...] Read more.
To improve the centroid extraction accuracy and efficiency of high-dynamic star sensors, this paper proposes a multi-centroid localization method based on the prior distribution of star trail projections. First, the mapping relationship between attitude information and star trails is constructed based on a geometric imaging model, and an endpoint centroid group extraction strategy is designed from the perspectives of time synchronization and computational complexity. Then, the endpoint position parameters are determined by fitting the star trail grayscale projection using a line spread function, and accurate centroid localization is achieved through principal axis analysis and inter-frame correlation. Finally, the effectiveness of the proposed method under different dynamic scenarios was tested using numerical simulations and semi-physical experiments. The experimental results show that when the three-axis angular velocity reaches 8°/s, the centroid extraction accuracy of the proposed method remains superior to 0.1 pixels, achieving an improvement of over 30% compared to existing methods and simultaneously doubling the attitude measurement frequency. This demonstrates the superiority of this method in high-dynamic attitude measurement tasks. Full article
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Graphical abstract

Graphical abstract
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<p>Star sensor coordinate relationships.</p>
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<p>The process of centroid coordinates and centroid groups changing over time during the exposure period. For clarity, only two centroids are plotted as an illustrative representation.</p>
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<p>One-dimensional point spread functions (PSFs) and line spread functions (LSFs) at different spot radii. (<b>a</b>) PSFs with different central positions. (<b>b</b>) LSFs are obtained by integrating the PSFs in (<b>a</b>) along the <span class="html-italic">X</span>-axis.</p>
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<p>The trail of a star moving along the <span class="html-italic">X</span>-axis. Each horizontal line (parallel to the star’s motion, shown in orange) follows an LSF in grayscale, and each vertical line (perpendicular to the star’s motion, shown in blue) follows a PSF in grayscale. The respective structures are still preserved in the projection distributions.</p>
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<p>The trail of a star moving along both the <span class="html-italic">X</span>-axis and <span class="html-italic">Y</span>-axis. The projection distributions in both directions conform to the LSF structure, containing the coordinate information of the start and end points.</p>
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<p>Schematic diagram of the multi-centroid extraction method for the star trail.</p>
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<p>An example of determining coordinate parameters through grayscale projection distribution fitting.</p>
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<p>Schematic diagram of principal axis analysis. (<b>Left</b>): two possible scenarios for the endpoint centroid coordinates when the 4 positional parameters have been determined, identified using a green stripe and an orange stripe. (<b>Right</b>): the different ranges of principal axis angles correspond to two possible scenarios shown in green and orange respectively.</p>
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<p>Schematic diagram of the temporal sequence analysis of centroid groups. (<b>Left</b>): Two endpoint centroid groups without determined temporal order. (<b>Middle</b>): The centroid group at time <span class="html-italic">t<sub>1</sub></span> is closer to the centroid group at time <span class="html-italic">t</span><sub>0</sub>. (<b>Right</b>): The centroid group at time <span class="html-italic">t</span><sub>2</sub> is closer to the centroid group at time <span class="html-italic">t</span><sub>0</sub>.</p>
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<p>Three image plane positions used in the simulation experiments, where a, b, and c represent the center, the right edge, and the lower left edge of the image plane coordinate system, respectively. The local enlargement figure shows the grayscale distribution of the star trail. The continuous red dots superimposed on it are the centroid positions generated based on the attitude information. The green squares represent the centroid coordinates selected at specific reference times.</p>
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<p>The impact of three-axis attitude angles on the accuracy of the centroid extraction method proposed in this paper and the classical methods. (<b>a</b>–<b>d</b>), (<b>e</b>–<b>h</b>), and (<b>i</b>–<b>l</b>) display the results for the center, right edge, and lower left corner of the image plane, respectively.</p>
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<p>The impact of Gaussian noise with different variances on the centroid localization accuracy of the proposed method.</p>
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<p>Multi-centroid extraction from consecutive star images. (<b>a</b>–<b>d</b>) show the results of multi-centroid extraction from the 1st, 3rd, 6th, and 8th images, respectively, out of 8 simulated dynamic star images.</p>
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<p>High-frame-rate attitude determination results. (<b>a</b>–<b>c</b>) shows the attitude angle calculation results for the <span class="html-italic">X</span>-axis, <span class="html-italic">Y</span>-axis, and <span class="html-italic">Z</span>-axis, respectively.</p>
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<p>Dynamic star images semi-physical experimental system.</p>
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<p>Semi-physical experimental results. The green and orange points in each image represent the starting centroid group and the ending centroid group, respectively. And the three-axis attitude angles are displayed in green and orange, representing the attitude angles corresponding to the start and end of the exposure, respectively.</p>
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22 pages, 5884 KiB  
Article
A Virtual Synchronous Generator Control Strategy Based on Transient Damping Compensation and Virtual Inertia Adaptation
by Yan Xia, Yang Chen, Yao Wang, Renzhao Chen, Ke Li, Jinhui Shi and Yiqiang Yang
Appl. Sci. 2025, 15(2), 728; https://doi.org/10.3390/app15020728 - 13 Jan 2025
Viewed by 322
Abstract
To mitigate the challenges posed by transient oscillations and steady-state deviations in the traditional virtual synchronous generator (TVSG) that is subjected to active power and grid frequency disturbances, a VSG control strategy based on Transient Damping Compensation and Virtual Inertia Adaptation is presented. [...] Read more.
To mitigate the challenges posed by transient oscillations and steady-state deviations in the traditional virtual synchronous generator (TVSG) that is subjected to active power and grid frequency disturbances, a VSG control strategy based on Transient Damping Compensation and Virtual Inertia Adaptation is presented. Initially, a closed-loop small-signal model for the grid-connected active power loop (APL) of the TVSG is constructed, which highlights the contradiction between the dynamic and static characteristics of TVSG output power through the analysis of root locus distribution trends. Secondly, a VSG control strategy based on Transient Damping Compensation (TDC) is proposed. The influence of APL system parameters introduced by TDC on system stability is qualitatively analyzed based on pole distribution trends and frequency response, and a comprehensive parameter design scheme is presented. In addition, based on the TDC algorithm, an improved virtual inertia adaptive strategy utilizing the Inverse Square Root Unit (ISRU) approach is designed, and the tuning range of parameters is provided. Finally, simulations and experiments verify that the proposed strategy exhibits superior active response performance and transient oscillation suppression capabilities, effectively eliminating active steady-state deviations caused by frequency disturbances in the power grid. Full article
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<p>TVSG main circuit topology and its simplified structure.</p>
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<p>TVSG control block diagram.</p>
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<p>Small-signal model of the APL in the TVSG.</p>
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<p>The trend of pole distribution of the APL system in the TVSG.</p>
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<p>Small-signal model of the APL in the TDC-VSG.</p>
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<p>The trend of pole distribution of the APL system in the TDC-VSG.</p>
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<p>The unit step response characteristic curve of the TDC-VSG.</p>
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<p>The selectable regions of <span class="html-italic">J</span><sub>ω</sub> and <span class="html-italic">D</span><sub>T</sub> under phase angle constraints.</p>
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<p>ISRU(<span class="html-italic">x</span>) function and its derivative trend.</p>
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<p>Feasible region for <span class="html-italic">J</span><sub>ω</sub> and <span class="html-italic">f</span><sub>cp</sub>.</p>
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<p>The improved output characteristics of the TDC-VSG under different control coefficients.</p>
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<p>Simulation results of the TVSG with different damping coefficients <span class="html-italic">D</span><sub>ω</sub>.</p>
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<p>Results of the TDC-VSG control strategy with compensation coefficient <span class="html-italic">K</span><sub>j</sub>.</p>
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<p>Results of the TDC-VSG control strategy with different transient damping coefficients <span class="html-italic">D</span><sub>T</sub>.</p>
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<p>Results of different VSG control strategies.</p>
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<p>Results of output voltage and current under different control strategies.</p>
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<p>Simulation results of the TDC-VSG control strategy under different power inductance values.</p>
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<p>VSG grid-connected experimental platform based on the HIL platform.</p>
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<p>Experimental results under different test conditions: (<b>a</b>) Test Condition 1; (<b>b</b>) Test Condition 2.</p>
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21 pages, 1568 KiB  
Article
Efficient State Synchronization in Distributed Electrical Grid Systems Using Conflict-Free Replicated Data Types
by Arsentii Prymushko, Ivan Puchko, Mykola Yaroshynskyi, Dmytro Sinko, Hryhoriy Kravtsov and Volodymyr Artemchuk
IoT 2025, 6(1), 6; https://doi.org/10.3390/iot6010006 - 11 Jan 2025
Viewed by 385
Abstract
Modern electrical grids are evolving towards distributed architectures, necessitating efficient and reliable state synchronization mechanisms to maintain structural and functional consistency. This paper investigates the application of conflict-free replicated data types (CRDTs) for representing and synchronizing the states of distributed electrical grid systems [...] Read more.
Modern electrical grids are evolving towards distributed architectures, necessitating efficient and reliable state synchronization mechanisms to maintain structural and functional consistency. This paper investigates the application of conflict-free replicated data types (CRDTs) for representing and synchronizing the states of distributed electrical grid systems (DEGSs). We present a general structure for DEGSs based on CRDTs, focusing on the Convergent Replicated Data Type (CvRDT) model with delta state propagation to optimize the communication overhead. The Observed Remove Set (ORSet) and Last-Writer-Wins Register (LWW-Register) are utilized to handle concurrent updates and ensure that only the most recent state changes are retained. An actor-based framework, “Vigilant Hawk”, leveraging the Akka toolkit, was developed to simulate the asynchronous and concurrent nature of DEGSs. Each electrical grid node is modelled as an independent actor with isolated state management, facilitating scalability and fault tolerance. Through a series of experiments involving 100 nodes under varying latency degradation coefficients (LDK), we examined the impact of network conditions on the state synchronization efficiency. The simulation results demonstrate that CRDTs effectively maintain consistency and deterministic behavior in DEGSs, even with increased network latency and node disturbances. An effective LDK range was identified (LDK effective = 2 or 4), where the network remains stable without significant delays in state propagation. The linear relationship between the full state distribution time (FSDT) and LDK indicates that the system can scale horizontally without introducing complex communication overhead. The findings affirm that using CRDTs for state synchronization enhances the resilience and operational efficiency of distributed electrical grids. The deterministic and conflict-free properties of CRDTs eliminate the need for complex concurrency control mechanisms, making them suitable for real-time monitoring and control applications. Future work will focus on addressing identified limitations, such as optimizing message routing based on the network topology and incorporating security measures to protect state information in critical infrastructure systems. Full article
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<p>Transition diagram of the power unit state.</p>
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<p>Conceptual view of CRDT state distribution between concurrently updated nodes.</p>
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<p>General representation of DEGS based on CRDT.</p>
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<p>Structural view of the node.</p>
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<p>Experimental flow of inner node communication.</p>
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<p>Simulation results for CRDT message distribution density within electrical grid with LDK = 2, 4, 8, 16.</p>
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<p>Simulation results for network state synchronization with LDK = 2, 4, 8, 16, 32, 64 and FSDT.</p>
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23 pages, 7359 KiB  
Article
Distributed Passivity-Based Control for Multiple Space Manipulators Holding Flexible Beams
by Ti Chen, Yue Cao, Mingyan Xie, Shihao Ni, Enchang Zhai and Zhengtao Wei
Actuators 2025, 14(1), 20; https://doi.org/10.3390/act14010020 - 8 Jan 2025
Viewed by 508
Abstract
This paper proposes a distributed passivity-based control scheme for the consensus and vibration suppression of multiple space manipulators holding flexible beams. A space manipulator holding a flexible beam is essentially a rigid–flexible underactuated system. The bending deformation of the flexible beam is discretized [...] Read more.
This paper proposes a distributed passivity-based control scheme for the consensus and vibration suppression of multiple space manipulators holding flexible beams. A space manipulator holding a flexible beam is essentially a rigid–flexible underactuated system. The bending deformation of the flexible beam is discretized by employing the assumed modes method. Based on Lagrange’s equations of the second kind, the dynamics model of each manipulator holding a flexible beam is established. By connecting such underactuated systems with the auxiliary Euler–Lagrange systems, a distributed passivity-based controller is designed under undirected communication graphs. To suppress flexible vibration effectively, a distributed controller with the feedback of the velocity of deflection at the free end of the flexible beam is proposed to achieve the manipulator synchronization and vibration suppression simultaneously. The stability of the proposed controller is analyzed with LaSalle’s invariance principle. Numerical simulations and experiments are conducted to show the effectiveness of the designed controllers. Full article
(This article belongs to the Special Issue Dynamics and Control of Aerospace Systems)
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<p>Mission concept of cooperative operation of flexible beams using multiple space manipulators.</p>
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<p>A manipulator with 4 joints grasping a flexible beam.</p>
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<p>The bending deformation of the flexible beam in the floating frame; (<b>a</b>) the cross-section of the beam; (<b>b</b>) the deformation plane of the beam.</p>
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<p>Information exchange mechanisms between the controller and the control plant.</p>
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<p>The undirected communication graph for the distributed system.</p>
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<p>The simulation results of the manipulators under PBC. (<b>a</b>) Joint angles of manipulator 1, (<b>b</b>) Joint angles of manipulator 2. (<b>c</b>) Joint angles of manipulator 3. (<b>d</b>) Joint angles of manipulator 4.</p>
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<p>The simulation results of the manipulators under PBC. (<b>a</b>) Joint angles of manipulator 1, (<b>b</b>) Joint angles of manipulator 2. (<b>c</b>) Joint angles of manipulator 3. (<b>d</b>) Joint angles of manipulator 4.</p>
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<p>The simulation results of manipulators under PBC with the feedback of the VDFEB. (<b>a</b>) Joint angles of manipulator 1. (<b>b</b>) Joint angles of manipulator 2. (<b>c</b>) Joint angles of manipulator 3. (<b>d</b>) Joint angles of manipulator 4.</p>
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<p>Tracking error of the joint angles of manipulators under PBC. (<b>a</b>) Tracking error of the joint angles of manipulator 1. (<b>b</b>) Tracking error of the joint angles of manipulator 2. (<b>c</b>) Tracking error of the joint angles of manipulator 3. (<b>d</b>) Tracking error of the joint angles of manipulator 4.</p>
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<p>Tracking error of the joint angles of manipulators under PBC with the feedback of the VDFEB. (<b>a</b>) Tracking error of the joint angles of manipulator 1. (<b>b</b>) Tracking error of the joint angles of manipulator 2. (<b>c</b>) Tracking error of the joint angles of manipulator 3. (<b>d</b>) Tracking error of the joint angles of manipulator 4.</p>
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<p>The tracking performance under PBC and PBC with the feedback of the VDFEB. (<b>a</b>) The comparison for manipulator 1. (<b>b</b>) The comparison for manipulator 2. (<b>c</b>) The comparison for manipulator 3. (<b>d</b>) The comparison for manipulator 4.</p>
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<p>The modal coordinates of the flexible beams. (<b>a</b>) Modal coordinates of beam 1. (<b>b</b>) Modal coordinates of beam 2. (<b>c</b>) Modal coordinates of beam 3. (<b>d</b>) Modal coordinates of beam 4.</p>
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<p>The comparison of the degree of vibration suppression under PBC and PBC with the feedback of the VDFEB.</p>
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<p>The system of the QARM manipulators holding flexible beams from Quanser, Inc.</p>
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<p>Dual-manipulator system under two control methods. (<b>a</b>) T = 0 s, (<b>b</b>) T = 1 s, (<b>c</b>) T = 5 s, (<b>d</b>) T = 50 s.</p>
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<p>The experiment results under PBC. (<b>a</b>) Joint angles of manipulator 1. (<b>b</b>) Joint angles of manipulator 2.</p>
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<p>The experiment results under PBC with the feedback of VDFEB. (<b>a</b>) Joint angles of manipulator 1. (<b>b</b>) Joint angles of manipulator 2.</p>
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<p>The deflections of the flexible beams. (<b>a</b>) Deflection of beam 1. (<b>b</b>) Deflection of beam 2.</p>
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29 pages, 660 KiB  
Article
Equivalence of History and Generator ϵ-Machines
by Nicholas F. Travers and James P. Crutchfield
Symmetry 2025, 17(1), 78; https://doi.org/10.3390/sym17010078 - 6 Jan 2025
Viewed by 306
Abstract
ϵ-Machines are minimal, unifilar presentations of stationary stochastic processes. They were originally defined in the history machine sense as hidden Markov models whose states are the equivalence classes of infinite pasts with the same probability distribution over futures. In analyzing synchronization though, [...] Read more.
ϵ-Machines are minimal, unifilar presentations of stationary stochastic processes. They were originally defined in the history machine sense as hidden Markov models whose states are the equivalence classes of infinite pasts with the same probability distribution over futures. In analyzing synchronization though, an alternative generator definition was given as follows: unifilar, edge-emitting hidden Markov models with probabilistically distinct states. The key difference is that history ϵ-machines are defined by a process, whereas generator ϵ-machines define a process. We show here that these two definitions are equivalent in the finite-state case. Full article
(This article belongs to the Special Issue Symmetry in Geometric Mechanics and Mathematical Physics)
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<p>A hidden Markov model (the <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>-machine) for the Even Process. The HMM has two internal states <math display="inline"><semantics> <mrow> <mi mathvariant="script">S</mi> <mo>=</mo> <mo>{</mo> <msub> <mi>σ</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>σ</mi> <mn>2</mn> </msub> <mo>}</mo> </mrow> </semantics></math>, a two-symbol alphabet <math display="inline"><semantics> <mrow> <mi mathvariant="script">X</mi> <mo>=</mo> <mo>{</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>}</mo> </mrow> </semantics></math>, and a single parameter <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>∈</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </semantics></math> that controls the transition probabilities.</p>
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<p>The Even Machine <span class="html-italic">M</span> (<b>left</b>) and associated history <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>-machine <math display="inline"><semantics> <msub> <mi>M</mi> <mi>h</mi> </msub> </semantics></math> (<b>right</b>) for the process <math display="inline"><semantics> <mi mathvariant="script">P</mi> </semantics></math> generated by <span class="html-italic">M</span>. <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>∈</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </semantics></math> is a parameter.</p>
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<p>The Alternating Biased Coins (ABC) Machine <span class="html-italic">M</span> (<b>left</b>) and associated history <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>-machine <math display="inline"><semantics> <msub> <mi>M</mi> <mi>h</mi> </msub> </semantics></math> (<b>right</b>) for the process <math display="inline"><semantics> <mi mathvariant="script">P</mi> </semantics></math>n generated by <span class="html-italic">M</span>. <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo>∈</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </semantics></math> are parameters, <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>≠</mo> <mi>q</mi> </mrow> </semantics></math>.</p>
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<p>A nonminimal generating HMM <span class="html-italic">M</span> for the Noisy Period-2 (NP2) Process (<b>left</b>), and the associated history <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>-machine <math display="inline"><semantics> <msub> <mi>M</mi> <mi>h</mi> </msub> </semantics></math> for this process (<b>right</b>). <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>∈</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </semantics></math> is a parameter.</p>
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<p>The Simple Nonunifilar Source (SNS) <span class="html-italic">M</span> (<b>left</b>) and associated history <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>-machine <math display="inline"><semantics> <msub> <mi>M</mi> <mi>h</mi> </msub> </semantics></math> (<b>right</b>) for the process <math display="inline"><semantics> <mi mathvariant="script">P</mi> </semantics></math> generated by <span class="html-italic">M</span>. In the history <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>-machine, <math display="inline"><semantics> <mrow> <msub> <mi>q</mi> <mi>n</mi> </msub> <mo>+</mo> <msub> <mi>p</mi> <mi>n</mi> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> for each <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>∈</mo> <mi mathvariant="double-struck">N</mi> </mrow> </semantics></math>, and <math display="inline"><semantics> <msub> <mrow> <mo stretchy="false">(</mo> <msub> <mi>q</mi> <mi>n</mi> </msub> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>n</mi> <mo>∈</mo> <mi mathvariant="double-struck">N</mi> </mrow> </msub> </semantics></math> is an increasing sequence defined by the following: <math display="inline"><semantics> <mrow> <msub> <mi>q</mi> <mi>n</mi> </msub> <mo>=</mo> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> <mo>·</mo> <mfenced separators="" open="(" close=")"> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mrow> <msubsup> <mo>∑</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>p</mi> <mi>m</mi> </msup> <msup> <mi>q</mi> <mrow> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo>−</mo> <mi>m</mi> </mrow> </msup> </mfenced> <mo>/</mo> <mfenced separators="" open="(" close=")"> <msup> <mi>p</mi> <mi>n</mi> </msup> <mo>+</mo> <mrow> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mrow> <msubsup> <mo>∑</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>p</mi> <mi>m</mi> </msup> <msup> <mi>q</mi> <mrow> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo>−</mo> <mi>m</mi> </mrow> </msup> </mfenced> </mrow> </semantics></math>.</p>
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17 pages, 13090 KiB  
Article
Dynamic Imaging of Projected Electric Potentials of Operando Semiconductor Devices by Time-Resolved Electron Holography
by Tolga Wagner, Hüseyin Çelik, Simon Gaebel, Dirk Berger, Peng-Han Lu, Ines Häusler, Nina Owschimikow, Michael Lehmann, Rafal E. Dunin-Borkowski, Christoph T. Koch and Fariba Hatami
Electronics 2025, 14(1), 199; https://doi.org/10.3390/electronics14010199 - 5 Jan 2025
Viewed by 771
Abstract
Interference gating (iGate) has emerged as a groundbreaking technique for ultrafast time-resolved electron holography in transmission electron microscopy, delivering nanometer spatial and nanosecond temporal resolution with minimal technological overhead. This study employs iGate to dynamically observe the local projected electric potential within the [...] Read more.
Interference gating (iGate) has emerged as a groundbreaking technique for ultrafast time-resolved electron holography in transmission electron microscopy, delivering nanometer spatial and nanosecond temporal resolution with minimal technological overhead. This study employs iGate to dynamically observe the local projected electric potential within the space-charge region of a contacted transmission electron microscopy (TEM) lamella manufactured from a silicon diode during switching between unbiased and reverse-biased conditions, achieving a temporal resolution of 25 ns at a repetition rate of 3 MHz. By synchronizing the holographic acquisition with the applied voltage, this approach enables the direct visualization of time-dependent potential distributions with high precision. Complementary static and dynamic experiments reveal a remarkable correspondence between modeled and measured projected potentials, validating the method’s robustness. The observed dynamic phase progressions resolve and allow one to differentiate between localized switching dynamics and preparation-induced effects, such as charge recombination near the sample edges. These results establish iGate as a transformative tool for operando investigations of semiconductor devices, paving the way for advancing the nanoscale imaging of high-speed electronic processes. Full article
(This article belongs to the Section Optoelectronics)
Show Figures

Figure 1

Figure 1
<p>Schematic of the time-resolved electron holography setup with interference gating in a transmission electron microscope (TEM). (<b>a</b>) The TEM configuration uses an RF biasing holder to apply a periodic voltage to the sample, creating an electron hologram by overlapping object (Obj) and reference (Ref) waves with a biprism. (<b>b</b>) Holographic reconstruction process: Fourier transformation (FT), isolating sideband (SB) from centerband (CB), extracting amplitude and phase information. (<b>c</b>) Interference Gating: dynamic fringe contrast <math display="inline"><semantics> <msub> <mi>V</mi> <mrow> <mi>h</mi> <mi>o</mi> <mi>l</mi> </mrow> </msub> </semantics></math> with gate length <math display="inline"><semantics> <mi>τ</mi> </semantics></math> (top panel), FT within and outside the gate (second panel), noise-based gating signal applied to dynamic phase shifter (third panel), control signal applied to RF biasing holder (bottom panel), synchronized to each other with an adjustable temporal delay <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>t</mi> </mrow> </semantics></math> for setting the gate position <math display="inline"><semantics> <msub> <mi>t</mi> <mi>g</mi> </msub> </semantics></math>.</p>
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<p>(<b>a</b>) Sample preparation and multiscale imaging of the UG1A diode, showcasing the individual steps, ranging from the mechanical preparation to the contacted TEM lamella. The top panel shows a macroscopic view (light microscopy, LM) of the mechanically ground UG1A diode with the device visible, centered in between p- and n-contacts. The middle panel displays a voltage contrast image acquired by Scanning Electron Microscopy (SEM) utilizing a micro-manipulator (colored red) as an electrical contact, indicating a potential difference across the p–n junction interface (plotted in red, from <math display="inline"><semantics> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> on the p-side to 0 <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> on the n-side). The bottom panels show SEM images of the FIB-prepared lamella in top (electron image) and side views (ion image), highlighting the p- and n-doped areas within and the vacuum region surrounding the sample. (<b>b</b>) Potential model using SIMP. The upper diagram depicts the initial 2D potential distribution across the p–n junction (red line) and within the supporting chip with an applied reverse-bias <math display="inline"><semantics> <msub> <mi>V</mi> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> </mrow> </msub> </semantics></math>, while the black dashed lines represent the electric potential extending into the vacuum calculated by SIMP. The lower diagram shows a schematic cross-section of the SIMP-based extension of the initial 2D potential with an effective thickness <math display="inline"><semantics> <msub> <mi>t</mi> <mrow> <mi>e</mi> <mi>f</mi> <mi>f</mi> </mrow> </msub> </semantics></math> along the <span class="html-italic">z</span>-axis to the full 3D potential distribution, needed for calculating the projected potentials and simulated phases.</p>
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<p>(<b>a</b>) Normalized simulated phase (calculated by SIMP) of the UG1A diode under reverse-bias condition (<math display="inline"><semantics> <mrow> <msub> <mi>U</mi> <mrow> <mi>e</mi> <mi>x</mi> <mi>t</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>2</mn> <mo> </mo> <mi mathvariant="normal">V</mi> </mrow> </semantics></math>). The white boxes indicate the areas used as reference and object wave regions in the static electron holographic experiments and the dashed white box highlight the area of the contacted TEM lamella. (<b>b</b>) Comparison of the modeled phase (difference between object and reference wave regions, top row) with experimental phase reconstructions (bottom row) at different applied biases: <math display="inline"><semantics> <mrow> <msub> <mi>U</mi> <mrow> <mi>e</mi> <mi>x</mi> <mi>t</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>2</mn> <mo> </mo> <mi mathvariant="normal">V</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math>, and 0 <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math>. The dashed white boxes highlight the area of the contacted TEM lamella. (<b>c</b>) Phase profiles extracted from SIMP (dotted lines) and experimental data (solid lines) across the diode for varying biasing conditions.</p>
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<p>(<b>a</b>) Static phase reconstruction of the UG1A diode biased with <math display="inline"><semantics> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math>, highlighting the space-charge region (SCR) between the p- and n-doped sides. The dashed white box outlines the area of the contacted TEM lamella; the orange polygon outlines the FoV for the time-resolved measurements. (<b>b</b>) Reconstructed dynamic phases, acquired with a time resolution of <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>25</mn> <mo> </mo> <mi>ns</mi> </mrow> </semantics></math> at a repetition rate of <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>=</mo> <mn>3</mn> <mo> </mo> <mi mathvariant="normal">MHz</mi> </mrow> </semantics></math>, showing the phase distribution for different switching states (<math display="inline"><semantics> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> at <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>150</mn> <mo> </mo> <mi>ns</mi> </mrow> </semantics></math> and 0 <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> at <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>61</mn> <mo> </mo> <mi>ns</mi> </mrow> </semantics></math>) of the diode. The regions marked by orange lines indicate the areas used for the phase profiles in <span class="html-italic">x</span>- and <span class="html-italic">y</span>-directions. (<b>c</b>) Phase profiles at different biases (<math display="inline"><semantics> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> and 0 <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math>) with orange dashed lines indicating the spatial range for time-resolved measurements (small FoV), (<b>d</b>) plot of the phase slopes along the <span class="html-italic">x</span>-axis, and (<b>e</b>) phase profiles along the <span class="html-italic">y</span>-axis for <math display="inline"><semantics> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> and 0 <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math>.</p>
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<p>(<b>a</b>) Dynamic phase frame of the UG1A diode at <math display="inline"><semantics> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </semantics></math> <math display="inline"><semantics> <mi mathvariant="normal">V</mi> </semantics></math> bias (150 ns), depicting the SCR and its extension into the n-doped region, with the subregions (I–IV) marked for the analysis of the temporal phase progression (in (<b>b</b>)). The lower panel schematically illustrates the position of the equi-phase lines. (<b>b</b>) Normalized phase values over time, averaged in each subregion (I–IV) during diode switching, showing localized phase modulations corresponding to bias changes. The gray-shaded areas indicate the location-dependent transitions captured by iGate. For improved visibility, the period of <math display="inline"><semantics> <mrow> <mi>T</mi> <mo>=</mo> <mn>333.3</mn> <mo> </mo> <mi>ns</mi> </mrow> </semantics></math> is repeated (<math display="inline"><semantics> <mrow> <mi>f</mi> <mo>=</mo> <mn>3</mn> <mo> </mo> <mi>MHz</mi> </mrow> </semantics></math>). (<b>c</b>) Sequential phase frames of the switching behavior into and out of reverse-bias condition, demonstrating the temporal evolution of the equi-phase lines (red dashed) within the SCR.</p>
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14 pages, 252 KiB  
Article
Impossibility Results for Byzantine-Tolerant State Observation, Synchronization, and Graph Computation Problems
by Ajay D. Kshemkalyani and Anshuman Misra
Algorithms 2025, 18(1), 26; https://doi.org/10.3390/a18010026 - 5 Jan 2025
Viewed by 342
Abstract
This paper considers the solvability of several fundamental problems in asynchronous message-passing distributed systems in the presence of Byzantine processes using distributed algorithms. These problems are the following: mutual exclusion, global snapshot recording, termination detection, deadlock detection, predicate detection, causal ordering, spanning tree [...] Read more.
This paper considers the solvability of several fundamental problems in asynchronous message-passing distributed systems in the presence of Byzantine processes using distributed algorithms. These problems are the following: mutual exclusion, global snapshot recording, termination detection, deadlock detection, predicate detection, causal ordering, spanning tree construction, minimum spanning tree construction, all–all shortest paths computation, and maximal independent set computation. In a distributed algorithm, each process has access only to its local variables and incident edge parameters. We show the impossibility of solving these fundamental problems by proving that they require a solution to the causality determination problem which has been shown to be unsolvable in asynchronous message-passing distributed systems. Full article
(This article belongs to the Special Issue Graph Theory and Algorithmic Applications: Theoretical Developments)
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