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15 pages, 4340 KiB  
Article
Development of a Fire-Retardant and Sound-Insulating Composite Functional Sealant
by Shiwen Li, Mingyu Wang, Jinchun Tu, Bingrong Wang, Xiaohong Wang and Kexi Zhang
Materials 2025, 18(1), 62; https://doi.org/10.3390/ma18010062 - 27 Dec 2024
Viewed by 382
Abstract
The use of traditional sealing materials in buildings poses a significant risk of fire and noise pollution. To address these issues, we propose a novel composite functional sealant designed to enhance fire safety and sound insulation. The sealant incorporates a unique four-component filler [...] Read more.
The use of traditional sealing materials in buildings poses a significant risk of fire and noise pollution. To address these issues, we propose a novel composite functional sealant designed to enhance fire safety and sound insulation. The sealant incorporates a unique four-component filler system consisting of carbon nanotubes (CNTs) decorated with layered double hydroxides (LDHs), ammonium dihydrogen phosphate (ADP), and artificial marble waste powder (AMWP), namely CLAA. The CNTs/LDHs framework provides structural support and enhances thermal stability, while the ADP layer acts as a protective barrier and releases non-combustible gases during combustion. AMWP particles contribute to sound insulation by creating impedance mismatches. The resulting composite functional sealant exhibits improved mechanical properties. In terms of flame retardancy, it boasts the lowest peak heat release rate (PHRR) of 224.83 kW/m2 and total smoke release (TSR) of 981.14 m2/m2, achieving the V-0 classification. Furthermore, its thermal degradation characteristics reveal a notably higher carbon residue rate. Additionally, the sound insulation capability has been significantly enhanced, with an average sound insulation level of 43.48 dB. This study provides a promising solution for enhancing the fire safety and acoustic properties of building sealing materials. Full article
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Graphical abstract

Graphical abstract
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<p>Preparation of CLAA and composite functional sealant.</p>
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<p>(<b>a</b>,<b>b</b>) are the XRD and FTIR spectra of CNTs, AMWP, CNTs/LDHs, and CLAA, respectively; (<b>c</b>) CA, CLA, and CLAA XPS profiles; (<b>d</b>) SEM images of CNTs/LDHs, (<b>e</b>) SEM and mapping images of CLAA.</p>
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<p>SEM images of different gelatinous layer cross sections: (<b>a</b>) A0, (<b>b</b>) A1, (<b>c</b>) A2, (<b>d</b>) A6.</p>
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<p>(<b>a</b>,<b>b</b>) Thermogravimetric analysis plots of samples A0, A1, A2, A3, A4, A5, A6; cone calorimetry test curves for A0, A1, A2, A6: (<b>c</b>) HRR, (<b>d</b>) THR, (<b>e</b>) SPR, (<b>f</b>) TSP.</p>
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<p>Video screenshots of UL-94 testing process: (<b>a</b>) A0, (<b>b</b>) A6.</p>
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<p>Raman spectra of residual charcoal in A0 (<b>a</b>) and A6 (<b>b</b>); (<b>c</b>,<b>d</b>) are the XRD and FT-IR spectra of the residual char. (<b>e</b>,<b>f</b>) The SEM diagram of A6 carbon residue after UL94 test.</p>
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<p>Sound insulation characteristic curve of composite functional sealant.</p>
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<p>Flame-retardant mechanism diagram of composite functional sealant and propagation path diagram of acoustic wave in composite functional sealant.</p>
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<p>Mechanical properties of A0 to A6.</p>
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18 pages, 15213 KiB  
Article
A Feasibility Study of Cross-Medium Direct Acoustic Communication Between Underwater and Airborne Nodes
by Shaojian Yang, Yi Lu, Yan Wei, Jiang Zhu, Xingbin Tu, Yimu Yang and Fengzhong Qu
J. Mar. Sci. Eng. 2024, 12(12), 2340; https://doi.org/10.3390/jmse12122340 - 20 Dec 2024
Viewed by 387
Abstract
With the rapid advancement of underwater communication and unmanned aerial vehicle (UAV) technologies, the potential applications of cross-medium communication in environmental monitoring, maritime Internet of Things (IoTs), and rescue operations, in particular, have attracted great attention. This study explores the feasibility of achieving [...] Read more.
With the rapid advancement of underwater communication and unmanned aerial vehicle (UAV) technologies, the potential applications of cross-medium communication in environmental monitoring, maritime Internet of Things (IoTs), and rescue operations, in particular, have attracted great attention. This study explores the feasibility of achieving cross-medium direct acoustic communication through the air–water interface. Specifically, it investigates challenges such as acoustic impedance mismatches and signal attenuation caused by energy loss during interface transmission, aiming to understand their impact on communication performance. Experimental tests employed underwater acoustic transducers as signal transmitters to propagate sound waves directly into the air, attempting to establish communication links with aerial UAV nodes. Preliminary experimental results indicate that even conventional underwater acoustic transducers can achieve information exchange between underwater nodes and UAVs, laying a foundation for further research and application of cross-medium communication systems. Full article
(This article belongs to the Section Ocean Engineering)
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<p>The simplified principle of sound signal propagation across the water–air interface under vertical incidence.</p>
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<p>Illustration of a drone-assisted cross-medium communication system for maritime data transmission.</p>
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<p>Overview of experimental equipment. The experimental equipment used for cross-medium acoustic communication tests included a recorder, a drone, a transducer, a power amplifier, an signal analyzer, an low-noise amplifier, anmicrophone, and a zero-sea-state hydrophone.</p>
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<p>Measured SPL at 1 m from the MerryTone TR148C transducer (Zhoushan MerryTone Information Technology Co., Ltd., Zhoushan, China) connected to the ZH501A power amplifier (Zhoushan MerryTone Information Technology Co., Ltd., Zhoushan, China) operating at 100% volume.</p>
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<p>Calibration of the recorder in an anechoic chamber. A laptop served as the sound source, transmitting single-frequency audio signals, while a recorder was positioned 3 m away from the sound source. A calibrated microphone and an LNA were connected to an signal analyzer to measure the sound pressure levels, ensuring precise calibration of the recorder.</p>
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<p>Calibrated voltage sensitivity of the SONY PCM A10 recorder (Sony Group Corporation, Tokyo, Japan).</p>
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<p>Experimental setup and field deployment. The left side shows the aerial and side views of the experimental setup, where the transducer was submerged at a depth of 1 m and deployed from a moored ship, while the drone hovered at predefined horizontal distances and altitudes to receive acoustic signals. The right side presents a field photograph of the experiment, illustrating the operation of the drone and the deployment of equipment onboard the ship.</p>
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<p>Installation configuration of the recorder on the drone and its status during flight. The top-left image highlights the recorder mounted on the drone, with labels for the left and right microphone channels. The bottom-left image shows the recorder fitted with a windshield to reduce wind noise, securely attached to the drone. The right image captures the drone in flight at an altitude of 10 m above the sea surface, carrying the recorder for signal acquisition.</p>
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<p><math display="inline"><semantics> <mrow> <mi>T</mi> <msub> <mi>L</mi> <mn>1</mn> </msub> </mrow> </semantics></math> from transducer to recorder across frequencies (10–20 kHz) for different drone altitudes (2 m, 10 m, 20 m, 30 m, and 40 m) right above the transducer.</p>
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<p><math display="inline"><semantics> <mrow> <mi>T</mi> <mi>L</mi> </mrow> </semantics></math> from the transducer to the recorder across frequencies (10–20 kHz) for different drone horizontal distances (0 m, 10 m, 20 m, 30 m, and 40 m) at a fixed altitude of 10 m.</p>
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<p>Time-varying channel impulse response and channel correlation coefficient for different drone altitudes. These figures present the results of channel estimation using 3.5–6.5 kHz PSK signals transmitted by an underwater transducer positioned at a depth of 1 m. The drone was positioned at three different altitudes (1 m, 5 m, and 10 m), from top to bottom, respectively. The left column shows the time-varying channel impulse response estimated from the left channel of the recorder, while the right column shows the variation in channel autocorrelation coefficients for both the left and right channels. The left column reveals two prominent clusters in the channel impulse response, corresponding to the direct path and the reflected path, both of which exhibit rapid time variations. In the right column, the channel autocorrelation coefficients display fluctuating patterns, with similar trends observed between the left and right channels. Note that although both the left and right plots contain geo-time, they are not aligned. The starting time for the left plots is set 5 ms before the moment of maximum channel impulse response, while the starting time for the right plots corresponds to the moment of maximum channel impulse response.</p>
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<p>Comparison of the causes of RTV characteristics in cross-medium and conventional underwater acoustic communication channels. The drone represents the aerial signal receiver, while the two underwater vehicles represent the underwater signal transceivers. In cross-medium channels, both the direct path and the reflected path traverse the wave-covered air–water interface, resulting in RTV characteristics. In contrast, in conventional underwater acoustic channels, the direct path and bottom-reflected path are not affected by surface waves, while only the surface-reflected path exhibits RTV characteristics due to the influence of wave motion.</p>
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12 pages, 4612 KiB  
Article
Molecular Beam Epitaxial Growth and Optical Properties of InN Nanostructures on Large Lattice-Mismatched Substrates
by Rongtao Nie, Yifan Hu, Guoguang Wu, Yapeng Li, Yutong Chen, Haoxin Nie, Xiaoqiu Wang, Mengmeng Ren, Guoxing Li, Yuantao Zhang and Baolin Zhang
Materials 2024, 17(24), 6181; https://doi.org/10.3390/ma17246181 - 18 Dec 2024
Viewed by 280
Abstract
Narrow-gap InN is a desirable candidate for near-infrared (NIR) optical communication applications. However, the absence of lattice-matched substrates impedes the fabrication of high-quality InN. In this paper, we employed Molecular Beam Epitaxy (MBE) to grow nanostructured InN with distinct growth mechanisms. Morphological and [...] Read more.
Narrow-gap InN is a desirable candidate for near-infrared (NIR) optical communication applications. However, the absence of lattice-matched substrates impedes the fabrication of high-quality InN. In this paper, we employed Molecular Beam Epitaxy (MBE) to grow nanostructured InN with distinct growth mechanisms. Morphological and quality analysis showed that the liquid phase epitaxial (LPE) growth of hexagonal InN nanopillar could be realized by depositing molten In layer on large lattice-mismatched sapphire substrate; nevertheless, InN nanonetworks were formed on nitrided sapphire and GaN substrates through the vapor-solid process under the same conditions. The supersaturated precipitation of InN grains from the molten In layer effectively reduced the defects caused by lattice mismatch and suppressed the introduction of non-stoichiometric metal In in the epitaxial InN. Photoluminescence and electrical characterizations demonstrated that high-carrier concentration InN prepared by vapor-solid mechanism showed much stronger band-filling effect at room temperature, which significantly shifted its PL peak to higher energy. LPE InN displayed the strongest PL intensity and the smallest wavelength shift with increasing temperature from 10 K to 300 K. These results showed enhanced optical properties of InN nanostructures prepared on large lattice mismatch substrates, which will play a crucial role in near-infrared optoelectronic devices. Full article
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<p>Three different sets of substrate treatment and epitaxy methods. The top left inset illustrates the growth of InN on nitrided sapphire substrate, the top right inset depicts the growth of InN on sapphire substrate with pre-deposited molten In layer, and the bottom inset presents the direct growth of InN on GaN substrate.</p>
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<p>RHEED patterns of (<b>a</b>) nitrided C-face sapphire substrate. (<b>b</b>) GaN substrate. (<b>c</b>) Sapphire substrate pre-deposited with around 40 nm molten metal In. (<b>d</b>) Sample A: InN grew on a nitrided sapphire substrate. (<b>e</b>) Sample B: InN grown directly on GaN substrate. (<b>f</b>) Sample C: InN grown on sapphire substrate with pre-deposited In metal.</p>
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<p>SEM images showing surface and cross-sectional view of sample A (<b>a</b>), sample B (<b>b</b>), and sample C (<b>c</b>).</p>
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<p>(<b>a</b>) Normalized XRD patterns of samples A, B, and C and pickled sample C; (<b>b</b>) XRD patterns with logarithmic vertical scaling; (<b>c</b>) the normalized ω scans of InN (002) derived from different growth methods.</p>
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<p>The In 3d<sub>5/2</sub> (<b>a</b>,<b>c</b>,<b>e</b>) and N 1s (<b>b</b>,<b>d</b>,<b>f</b>) XPS core-level photoemission peaks of samples A, B, and C.</p>
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<p>Growth mechanism schematic diagram of InN on sapphire with pre-deposited molten In layer.</p>
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<p>Room-temperature PL spectra of samples A, B, and C, alongside carrier concentrations derived from the Hall measurements.</p>
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<p>Temperature-dependent PL spectra of samples A (<b>a</b>), B (<b>b</b>), and C (<b>c</b>) at 10–280 k. The black dashed line shows the shift of the split peaks caused by the band-filling effect. The red dashed line is the split-peak shift caused by bandgap contraction.</p>
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<p>The energy band diagrams of samples A (<b>a</b>), B (<b>b</b>), and C (<b>c</b>) with the increase in temperature. (I) Band-filling effect. (II) Band-to-band radiative recombination.</p>
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16 pages, 1421 KiB  
Article
Investigating Elastic Deformation of Ordered Precipitates by Ab Initio-Informed Phase-Field Crystal Modeling
by Jacob Holmberg-Kasa, Pär A. T. Olsson and Martin Fisk
Metals 2024, 14(12), 1399; https://doi.org/10.3390/met14121399 - 6 Dec 2024
Viewed by 558
Abstract
Ni-based superalloys, essential for high-temperature applications, derive strength from coherent second-order precipitates that impede dislocation motion through coherency misfit and elastic mismatch. This study employs multi-component phase-field crystal (PFC) simulations to explore the elastic deformation of such precipitates. Using a binary ordered square [...] Read more.
Ni-based superalloys, essential for high-temperature applications, derive strength from coherent second-order precipitates that impede dislocation motion through coherency misfit and elastic mismatch. This study employs multi-component phase-field crystal (PFC) simulations to explore the elastic deformation of such precipitates. Using a binary ordered square structure for the precipitate and a single species square structure for the matrix, elastic properties and lattice parameters are fitted to data from ab initio density functional theory calculations for Ni and Ni3Ti systems. Simulations reveal a smooth strain gradient across the matrix–precipitate interface with coherency misfit influenced by precipitate size and strain state. These findings highlight the utility of PFC simulations for understanding strain distribution and deformation in precipitate–matrix systems with the potential to offer insights for both experimental and computational studies. Full article
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<p>Illustration of probability density configuration across an interface (white dashed line) between the matrix and ordered phases. (<b>a</b>) The particle density field for the <span class="html-italic">A</span> species of atoms, <math display="inline"><semantics> <msub> <mi>n</mi> <mi>A</mi> </msub> </semantics></math>, and (<b>b</b>) particle density field for the <span class="html-italic">B</span> species of atoms, <math display="inline"><semantics> <msub> <mi>n</mi> <mi>B</mi> </msub> </semantics></math>, for the system. (<b>c</b>) Sum of the two particle density fields.</p>
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<p>Schematic illustration of the three PFC simulation scenarios. (<b>a</b>) The narrow system, with each phase contributing to half the total volume fraction. It is subjected to uniaxial strain across the <span class="html-italic">x</span>-axis by means of grid manipulation. (<b>b</b>) The [<math display="inline"><semantics> <mrow> <mover accent="true"> <mn>1</mn> <mo>¯</mo> </mover> <mn>1</mn> </mrow> </semantics></math>] mirror symmetric system with a central ordered precipitate with an initial radius <math display="inline"><semantics> <msub> <mi>R</mi> <mi>a</mi> </msub> </semantics></math>. (<b>c</b>) The [<math display="inline"><semantics> <mrow> <mover accent="true"> <mn>1</mn> <mo>¯</mo> </mover> <mn>1</mn> </mrow> </semantics></math>] asymmetric system with three ordered precipitates with an initial radius <math display="inline"><semantics> <msub> <mi>R</mi> <mi>b</mi> </msub> </semantics></math>, which was positioned to obtain two different strain conditions on the precipitates. The numbers indicate the given ordering of the precipitates.</p>
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<p>The <math display="inline"><semantics> <msub> <mi>E</mi> <mn>11</mn> </msub> </semantics></math> component of the Green–Lagrange strain tensor is shown for a narrow system comprising both the matrix and ordered phases. The top figure displays the <math display="inline"><semantics> <msub> <mi>E</mi> <mn>11</mn> </msub> </semantics></math> distribution for the system with the PFC and FE results on the left and right, respectively. The bottom figure shows the variation in elastic strain <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msubsup> <mi>E</mi> <mrow> <mn>11</mn> </mrow> <mrow> <mi>e</mi> <mi>l</mi> </mrow> </msubsup> </mrow> </semantics></math> across the dashed line in the top figure for a selection of displacements, using the undeformed strain state as a reference. The PFC results, on the left, are interpolated using a Gaussian kernel (<math display="inline"><semantics> <mrow> <mi>σ</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>|</mo> <mi mathvariant="bold">r</mi> <mo>|</mo> <mo>≤</mo> <mn>3</mn> </mrow> </semantics></math>). The FE results, to the right, are given as the average cell values.</p>
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<p>Free energy minimization by external volumetric strain, <math display="inline"><semantics> <msub> <mi>E</mi> <mi>v</mi> </msub> </semantics></math>, for different initial precipitate radii, quantified as the composition of type <span class="html-italic">B</span> atoms. (<b>a</b>) The free energy is given as a function of an external volumetric strain, the minimal free energy strain state is given in red. (<b>b</b>) The resulting volume change dependent on the composition of type <span class="html-italic">B</span> atoms.</p>
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<p>Local discrete Green–Lagrange strain at minimum energy strain state. Each column shows the three unique components of the tensors <math display="inline"><semantics> <msub> <mi>E</mi> <mn>11</mn> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>E</mi> <mn>22</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>E</mi> <mn>12</mn> </msub> </semantics></math>, respectively. Every column is separated such that the result from the PFC simulations are to the left and the FE simulations are to the right. The top figure in every column shows the strain state for a precipitate with an initial radius of 18<math display="inline"><semantics> <msub> <mi>a</mi> <mn>0</mn> </msub> </semantics></math>. The bottom figure in each column shows the same strain component distribution across the dashed line in the top figure for a selection of radii. The PFC results, to the left, are interpolated using a Gaussian kernel (<math display="inline"><semantics> <mrow> <mi>σ</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>|</mo> <mi mathvariant="bold">r</mi> <mo>|</mo> <mo>≤</mo> <mn>3</mn> </mrow> </semantics></math>). The FE results, to the right, are given as the average cell values.</p>
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<p>Local discrete Green–Lagrange strain at minimum energy strain state. Each column shows the three unique components of the tensor <math display="inline"><semantics> <msub> <mi>E</mi> <mn>11</mn> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>E</mi> <mn>22</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>E</mi> <mn>12</mn> </msub> </semantics></math>, respectively. The top figure in every column shows the strain state for a precipitate with an initial radius of 18<math display="inline"><semantics> <msub> <mi>a</mi> <mn>0</mn> </msub> </semantics></math>. The bottom figure in each column show the same strain components along the dashed black lines in the respective figures, which were interpolated using a Gaussian kernel (<math display="inline"><semantics> <mrow> <mi>σ</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>|</mo> <mi mathvariant="bold">r</mi> <mo>|</mo> <mo>≤</mo> <mn>3</mn> </mrow> </semantics></math>) for a selection of initial radii.</p>
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<p>Constrained lattice parameters for the [<math display="inline"><semantics> <mrow> <mover accent="true"> <mn>1</mn> <mo>¯</mo> </mover> <mn>1</mn> </mrow> </semantics></math>] mirror symmetric and the [<math display="inline"><semantics> <mrow> <mover accent="true"> <mn>1</mn> <mo>¯</mo> </mover> <mn>1</mn> </mrow> </semantics></math>] asymmetric systems with different precipitate sizes given in terms of the steady-state radius. The precipitates in the [<math display="inline"><semantics> <mrow> <mover accent="true"> <mn>1</mn> <mo>¯</mo> </mover> <mn>1</mn> </mrow> </semantics></math>] asymmetric system are given for the three unique positions in the system, where position 1 and 3 are subjected to the same strain state.</p>
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34 pages, 4812 KiB  
Article
A Novel Neural Network-Based Droop Control Strategy for Single-Phase Power Converters
by Saad Belgana and Handy Fortin-Blanchette
Energies 2024, 17(23), 5825; https://doi.org/10.3390/en17235825 - 21 Nov 2024
Viewed by 457
Abstract
Managing parallel−connected single−phase distributed generators in low−voltage microgrids is challenging due to the volatility of renewable energy sources and fluctuating load demands. Traditional droop control struggles to maintain precise power sharing under dynamic conditions and varying line impedances, leading to inefficiency. This paper [...] Read more.
Managing parallel−connected single−phase distributed generators in low−voltage microgrids is challenging due to the volatility of renewable energy sources and fluctuating load demands. Traditional droop control struggles to maintain precise power sharing under dynamic conditions and varying line impedances, leading to inefficiency. This paper presents a novel adaptive droop control strategy integrating artificial neural networks and particle swarm optimization to enhance microgrid performance. Unlike prior methods that optimize artificial neural network parameters, the proposed approach uses particle swarm optimization offline to generate optimal dq−axis voltage references that compensate for line effects and load variations. These serve as training data for the artificial neural network, which adjusts voltage in real time based on line impedance and load variations without online optimization. This decoupling ensures computational efficiency and responsiveness, maintaining voltage and frequency stability during rapid load changes. Addressing dynamic load fluctuations and line impedance mismatches without inter−generator communication enhances reliability and reduces complexity. Simulations demonstrate that the proposed strategy maintains stability, achieves accurate power sharing with errors below 0.5%, and reduces total harmonic distortion, outperforming conventional droop control methods. These findings advance adaptive control in microgrids, supporting seamless renewable energy integration and enhancing the reliability and stability of distributed generation systems. Full article
(This article belongs to the Section F3: Power Electronics)
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<p>Simplified model of power transfer through a transmission line.</p>
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<p>Droop characteristics for inductive line impedance.</p>
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<p>CDC scheme for inductive line impedance.</p>
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<p>Droop characteristics for resistive line impedance.</p>
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<p>CDC scheme for resistive line impedance.</p>
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<p>Structure of the proposed droop control.</p>
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<p>Structure of the distributed generator.</p>
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<p>Structure of the proposed control unit.</p>
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<p>Structure of the second−order generalized integrator (SOGI).</p>
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<p><math display="inline"><semantics> <mrow> <mi>d</mi> <mi>q</mi> </mrow> </semantics></math> model of the single−phase inverter.</p>
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<p>Control structure of the single−phase inverter in the <math display="inline"><semantics> <mrow> <mi>d</mi> <mi>q</mi> </mrow> </semantics></math> frame.</p>
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<p>Structure of the ANN.</p>
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<p>Displacement of particles in the search space.</p>
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<p>Structure of the proposed PSO−based droop control.</p>
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<p>PSO data training.</p>
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<p>Microgrid configuration with a common bus structure.</p>
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<p>Microgrid configuration with a mesh grid structure.</p>
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<p>Linear loads in the mesh grid structure.</p>
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<p>Nonlinear loads in the mesh grid structure.</p>
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<p>Simulation results of four DGs with inductive wire.</p>
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<p>Simulation results of four DGs with mixed wire.</p>
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<p>Load Voltage.</p>
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<p>Simulation results of four DGs with inductive wire using CDC.</p>
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<p>Simulation results of four DGs with inductive wire using proposed droop control.</p>
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<p>Simulation results of four DGs with mixed wire using CDC.</p>
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<p>Simulation results of four DGs with mixed wire using proposed droop control.</p>
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<p>Current FTT for inductive wire for CDC.</p>
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<p>Current FTT for inductive wire for proposed droop control.</p>
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<p>Current FTT for mixed wire for CDC.</p>
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<p>Current FTT for mixed wire for CDC.</p>
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<p>Voltage FTT for inductive wire for CDC.</p>
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<p>Voltage FTT for inductive wire for proposed droop control.</p>
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<p>Voltage FTT for mixed wire for CDC.</p>
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<p>Voltage FTT for mixed wire for proposed droop control.</p>
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20 pages, 9674 KiB  
Article
Oscillation Mechanism and Suppression of Variable-Speed Pumped Storage Unit with Full-Size Converter Based on the Measured Single-Input and Single-Output Impedances
by Pengyu Pan, Gang Chen, Huabo Shi, Lijie Ding, Yufei Teng and Xiaoming Zha
Appl. Sci. 2024, 14(22), 10398; https://doi.org/10.3390/app142210398 - 12 Nov 2024
Viewed by 502
Abstract
As the penetration rate of clean energy gradually increases, the demand for flexible regulation resources in the power grid is increasing accordingly. The variable-speed pumped storage unit with a full-size converter (FSC-VSPSU) can provide fast and flexible regulation resources for the power grid, [...] Read more.
As the penetration rate of clean energy gradually increases, the demand for flexible regulation resources in the power grid is increasing accordingly. The variable-speed pumped storage unit with a full-size converter (FSC-VSPSU) can provide fast and flexible regulation resources for the power grid, which assists in the stable operation of the clean-energy-dominated power systems. Thus, its application is gradually becoming widespread. FSC-VSPSU relies on the power electronic converter for grid connection. When the impedance mismatch between FSC-VSPSU and the power grid occurs, the grid-connected system will experience oscillations, which seriously threatens its safe and stable operation. Aiming at this, this article firstly relies on the SISO impedance measurement and an equivalent impedance analysis to obtain the stability analysis criterion. Furthermore, applying the impedance matching analysis with the Bode diagram, the influence rules of the parameters of the grid-connected FSC-VSPSU on oscillation are obtained. In addition, with the summarized oscillation analysis results, this study delves into an exploration of pertinent strategies for oscillation suppression. Finally, a grid-connected FSC-VSPSU simulation model is built in MATLAB/SIMULINK, and the simulation results verify the correctness of the oscillation analysis results and the effectiveness of the proposed oscillation suppression strategy. Full article
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<p>Structure diagram of the FSC-VSPSU.</p>
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<p>Structure diagram of the excitation system.</p>
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<p>Structure diagram of the turbine governor.</p>
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<p>Structure diagram of the converter controller.</p>
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<p>SISO impedance measurement procedures for FSC-VSPSU.</p>
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<p>Equivalent impedance model of the grid-connected FSC-VSPSU.</p>
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<p>The criterion for stability based on the phase difference.</p>
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<p>Bode diagram when the proportional parameter of the DC voltage loop changes.</p>
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<p>Bode diagram when the integration parameter of the DC voltage loop changes.</p>
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<p>Bode diagram when the proportional parameter of the current loop of the grid-side converter changes.</p>
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<p>Bode diagram when the integration parameter of the current loop of the grid-side converter changes.</p>
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<p>Relevant SISO impedances of FSC-VSPSU when changing the control parameters of the machine-side converter.</p>
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<p>Relevant SISO impedances of FSC-VSPSU when changing the excitation system and turbine governor parameters.</p>
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<p>Bode diagram when the equivalent inductance of the grid network changes.</p>
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<p>Bode diagram when the equivalent resistance of the grid network changes.</p>
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<p>Schematic diagram of the oscillation suppression strategy by increasing the equivalent resistance of the grid network.</p>
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<p>Oscillation waveforms under the initial parameters.</p>
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<p>DC-side voltage waveforms when changing the control parameters of the grid-side converter.</p>
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<p>DC-side voltage waveforms when changing the control parameters of the machine-side converter.</p>
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<p>DC-side voltage waveforms when changing the excitation system and the turbine governor parameters.</p>
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<p>DC-side voltage waveforms when changing the equivalent impedance parameters of the grid network.</p>
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<p>DC-side voltage waveforms when changing the equivalent impedance parameters of the grid network.</p>
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<p>DC-side voltage waveforms when applying the oscillation suppression strategy at 1.5 s.</p>
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21 pages, 12536 KiB  
Article
An Energy Management System for Distributed Energy Storage System Considering Time-Varying Linear Resistance
by Yuanliang Fan, Zewen Li, Xinghua Huang, Dongtao Luo, Jianli Lin, Weiming Chen, Lingfei Li and Ling Yang
Electronics 2024, 13(21), 4327; https://doi.org/10.3390/electronics13214327 - 4 Nov 2024
Viewed by 680
Abstract
As the proportion of renewable energy in energy use continues to increase, to solve the problem of line impedance mismatch leading to the difference in the state of charge (SOC) of each distributed energy storage unit (DESU) and the DC bus voltage drop, [...] Read more.
As the proportion of renewable energy in energy use continues to increase, to solve the problem of line impedance mismatch leading to the difference in the state of charge (SOC) of each distributed energy storage unit (DESU) and the DC bus voltage drop, a distributed energy storage system control strategy considering the time-varying line impedance is proposed in this paper. By analyzing the fundamental frequency harmonic components of the pulse width modulation (PWM) signal carrier of the converter output voltage and output current, we can obtain the impedance information and, thus, compensate for the bus voltage drop. Then, a novel, droop-free cooperative controller is constructed to achieve SOC equalization, current sharing, and voltage regulation. Finally, the validity of the system is verified by a hardware-in-the-loop experimental platform. Full article
(This article belongs to the Special Issue Emerging Technologies in DC Microgrids)
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Figure 1
<p>Structure of DC microgrid.</p>
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<p>Parallel equivalent circuit model of DC microgrid.</p>
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<p>Control block diagram of DESS.</p>
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<p>Equivalent circuit of the converter.</p>
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<p>Variation curve of <span class="html-italic">e<sub>i</sub></span> with <span class="html-italic">SOC</span><sub>k<span class="html-italic">i</span></sub> while taking different values of <span class="html-italic">c</span>.</p>
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<p>Control block diagram of the ESUs.</p>
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<p>System stability analysis. (<b>a</b>) <span class="html-italic">τ</span><sub>e</sub> = 50 ms, <span class="html-italic">κ</span> increases. (<b>b</b>) <span class="html-italic">k</span> = 10, <span class="html-italic">τ</span><sub>e</sub> increases.</p>
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<p>Simulation of the third battery group decreasing by 25% of its rated capacity. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Simulation of the third battery group increasing by 25% of its rated capacity. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Simulation of the third transformer’s line impedance decreasing by 50% of its rated line impedance. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Simulation of the third transformer’s line impedance increasing by 50% of its rated line impedance. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Simulation of load power decreasing by 25% of its rated load power. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Simulation of load power increasing by 25% of its rated load power. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Hardware-in-the-loop experimental platform display plot.</p>
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<p>Experiment of normal discharge mode. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of [<a href="#B25-electronics-13-04327" class="html-bibr">25</a>]. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of [<a href="#B25-electronics-13-04327" class="html-bibr">25</a>]. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of line impedance changes. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of line impedance changes. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of load switching in ESSs. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of load switching in ESSs. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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<p>Experiment of random DESU exits. (<b>a</b>) DC bus voltage. (<b>b</b>) Output current. (<b>c</b>) SOC.</p>
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11 pages, 2471 KiB  
Communication
All-Dielectric Dual-Band Anisotropic Zero-Index Materials
by Baoyin Sun, Ran Mei, Mingyan Li, Yadong Xu, Jie Luo and Youwen Liu
Photonics 2024, 11(11), 1018; https://doi.org/10.3390/photonics11111018 - 29 Oct 2024
Viewed by 612
Abstract
Zero-index materials, characterized by near-zero permittivity and/or permeability, represent a distinctive class of materials that exhibit a range of novel physical phenomena and have potential for various advanced applications. However, conventional zero-index materials are often hindered by constraints such as narrow bandwidth and [...] Read more.
Zero-index materials, characterized by near-zero permittivity and/or permeability, represent a distinctive class of materials that exhibit a range of novel physical phenomena and have potential for various advanced applications. However, conventional zero-index materials are often hindered by constraints such as narrow bandwidth and significant material loss at high frequencies. Here, we numerically demonstrate a scheme for realizing low-loss all-dielectric dual-band anisotropic zero-index materials utilizing three-dimensional terahertz silicon photonic crystals. The designed silicon photonic crystal supports dual semi-Dirac cones with linear-parabolic dispersions at two distinct frequencies, functioning as an effective double-zero material along two specific propagation directions and as an impedance-mismatched single-zero material along the orthogonal direction at the two frequencies. Highly anisotropic wave transport properties arising from the unique dispersion and extreme anisotropy are further demonstrated. Our findings not only show a novel methodology for achieving low-loss zero-index materials with expanded operational frequencies but also open up promising avenues for advanced electromagnetic wave manipulation. Full article
(This article belongs to the Special Issue Advances in Epsilon-Near-Zero Photonics)
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Figure 1

Figure 1
<p>(<b>a</b>) Schematic graph of a three-dimensional silicon PhC consisting of orthogonally aligned silicon rods. (<b>b</b>) The silicon PhC is designed to exhibit dual semi-Dirac cones, which can be effectively homogenized as a low-loss dual-band AZIM.</p>
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<p>(<b>a</b>) Schematic graph of the silicon PhC unit cell. (<b>b</b>) Photonic band structure of the PhC. (<b>c</b>) A zoomed-in view of the dual semi-Dirac conical dispersion (<b>left</b>), and electric-field distributions for the degenerate modes along the <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Γ</mi> <mi mathvariant="normal">Y</mi> </mrow> </semantics></math> direction as the frequency gradually increases near the semi-Dirac cones (<b>right</b>).</p>
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<p>A zoomed-in view of the dual semi-Dirac conical dispersion (<b>left</b>), and the effective parameters of the silicon PhC corresponding to the transverse modes (<b>right</b>).</p>
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<p>(<b>a</b>) Schematic graph of a silicon PhC cube that blocks waves for <math display="inline"><semantics> <mrow> <mi>x</mi> </mrow> </semantics></math>-incidence, while is wave-transparent for <math display="inline"><semantics> <mrow> <mi>y</mi> </mrow> </semantics></math>-incidence at the first semi-Dirac-point frequency <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">D</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Normalized electric field <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>E</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mo>/</mo> <msub> <mrow> <mi>E</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </semantics></math> for a silicon PhC cube consisting of <math display="inline"><semantics> <mrow> <mn>6</mn> <mo>×</mo> <mn>6</mn> <mo>×</mo> <mn>6</mn> </mrow> </semantics></math> unit cells (upper) and its corresponding effective AZIM (lower) for the <math display="inline"><semantics> <mrow> <mi>x</mi> </mrow> </semantics></math>-incidence (left) and <math display="inline"><semantics> <mrow> <mi>y</mi> </mrow> </semantics></math>-incidence (right) at <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">D</mi> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>31.12</mn> <mo> </mo> <mi mathvariant="normal">T</mi> <mi mathvariant="normal">H</mi> <mi mathvariant="normal">z</mi> </mrow> </semantics></math>. The electric field of incidence is polarized along the <math display="inline"><semantics> <mrow> <mi>z</mi> </mrow> </semantics></math> direction. (<b>c</b>) Computed transmittance through a silicon PhC cube consisting of <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>×</mo> <mi>N</mi> <mo>×</mo> <mi>N</mi> </mrow> </semantics></math> unit cells (<math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>6</mn> <mo>,</mo> <mn>10</mn> <mo>,</mo> <mn>15</mn> </mrow> </semantics></math>) for <math display="inline"><semantics> <mrow> <mi>x</mi> </mrow> </semantics></math>-incidence (dashed lines) and <math display="inline"><semantics> <mrow> <mi>y</mi> </mrow> </semantics></math>-incidence (solid lines) as the function of working frequency.</p>
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<p>(<b>a</b>) Schematic graph of a silicon PhC cube that blocks waves for <math display="inline"><semantics> <mrow> <mi>x</mi> </mrow> </semantics></math>-incidence, while is wave-transparent for <math display="inline"><semantics> <mrow> <mi>y</mi> </mrow> </semantics></math>-incidence at the second semi-Dirac-point frequency <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">D</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>. (<b>b</b>) Normalized magnetic field <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mo>/</mo> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </semantics></math> for a silicon PhC cube consisting of <math display="inline"><semantics> <mrow> <mn>6</mn> <mo>×</mo> <mn>6</mn> <mo>×</mo> <mn>6</mn> </mrow> </semantics></math> unit cells (upper) and its corresponding effective AZIM (lower) for the <math display="inline"><semantics> <mrow> <mi>x</mi> </mrow> </semantics></math>-incidence (<b>left</b>) and <math display="inline"><semantics> <mrow> <mi>y</mi> </mrow> </semantics></math>-incidence (<b>right</b>) at <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">D</mi> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>34.60</mn> <mo> </mo> <mi mathvariant="normal">T</mi> <mi mathvariant="normal">H</mi> <mi mathvariant="normal">z</mi> </mrow> </semantics></math>. The magnetic field of incidence is polarized along the <math display="inline"><semantics> <mrow> <mi>z</mi> </mrow> </semantics></math> direction. (<b>c</b>) Computed transmittance through a silicon PhC cube consisting of <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>×</mo> <mi>N</mi> <mo>×</mo> <mi>N</mi> </mrow> </semantics></math> unit cells (<math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>6</mn> <mo>,</mo> <mn>10</mn> <mo>,</mo> <mn>15</mn> </mrow> </semantics></math>) for <math display="inline"><semantics> <mrow> <mi>x</mi> </mrow> </semantics></math>-incidence (dashed lines) and <math display="inline"><semantics> <mrow> <mi>y</mi> </mrow> </semantics></math>-incidence (solid lines) as the function of working frequency.</p>
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18 pages, 4168 KiB  
Article
Enhanced Performance of Fluidic Phononic Crystal Sensors Using Different Quasi-Periodic Crystals
by Ahmed G. Sayed, Ali Hajjiah, Mehdi Tlija, Stefano Bellucci, Mostafa R. Abukhadra, Hussein A. Elsayed and Ahmed Mehaney
Crystals 2024, 14(11), 925; https://doi.org/10.3390/cryst14110925 - 26 Oct 2024
Viewed by 599
Abstract
In this paper, we introduce a comprehensive theoretical study to obtain an optimal highly sensitive fluidic sensor based on the one-dimensional phononic crystal (PnC). The mainstay of this study strongly depends on the high impedance mismatching due to the irregularity of the considered [...] Read more.
In this paper, we introduce a comprehensive theoretical study to obtain an optimal highly sensitive fluidic sensor based on the one-dimensional phononic crystal (PnC). The mainstay of this study strongly depends on the high impedance mismatching due to the irregularity of the considered quasi-periodic structure, which in turn can provide better performance compared to the periodic PnC designs. In this regard, we performed the detection and monitoring of the different concentrations of lead nitrate (Pb(NO3)2) and identified it as being a dangerous aqueous solution. Here, a defect layer was introduced through the designed structure to be filled with the Pb(NO3)2 solution. Therefore, a resonant mode was formed within the transmittance spectrum of the considered structure, which in turn shifted due to the changes in the concentration of the detected analyte. The numerical findings demonstrate the role of the different sequences such as Fibonacci, Octonacci, Thue–Morse, and double period on the performance of the designed PhC detector. Meanwhile, the findings of this study show that the double-period quasi-periodic sequence provides the best performance with a sensitivity of 502.6 Hz/ppm, a damping rate of 5.9×105, a maximum quality factor of 8463.5, and a detection limit of 2.45. Full article
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Figure 1
<p>The proposed sensor’s schematic diagram using several quasi-periodic sequences: (<b>a</b>) the Fibonacci sequence; (<b>b</b>) the Octonacci sequence; (<b>c</b>) the Thue–Morse sequence; (<b>d</b>) the double-period sequence.</p>
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<p>Acoustic properties of Pb(NO<sub>3</sub>)<sub>2</sub> solution versus its concentration.</p>
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<p>(<b>a</b>) S<sub>3</sub> Fibonacci sequence [(<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">b</mi> <mo>(</mo> <mi mathvariant="normal">N</mi> <msub> <mrow> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">n</mi> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </semantics></math>)]; (<b>b</b>) Octonacci sequence [(<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">b</mi> <mo>(</mo> <mi mathvariant="normal">N</mi> <msub> <mrow> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">n</mi> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math>)]; (<b>c</b>) Thue–Morse sequence [(<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">b</mi> <mo>(</mo> <mi mathvariant="normal">N</mi> <msub> <mrow> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">n</mi> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </semantics></math>)]; (<b>d</b>) double-period sequence [(<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">b</mi> <mo>(</mo> <mi mathvariant="normal">N</mi> <msub> <mrow> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">n</mi> <mo>)</mo> <mtext> </mtext> <mo>(</mo> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </semantics></math>)].</p>
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<p>Effect of multiple concentrations on the transmittance properties of S<sub>3</sub> double-period quasi-periodic PnC structure.</p>
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<p>The performance parameters of the S<sub>3</sub> double-period quasi-periodic PnC structure are (<b>a</b>) the sensitivity and resonance peaks, (<b>b</b>) the damping rate and quality factor, and (<b>c</b>) the detection limit and figure of merit.</p>
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<p>The performance parameters of the S<sub>3</sub> double-period quasi-periodic PnC structure are (<b>a</b>) the sensitivity and resonance peaks, (<b>b</b>) the damping rate and quality factor, and (<b>c</b>) the detection limit and figure of merit.</p>
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23 pages, 4630 KiB  
Article
Ensemble LVQ Model for Photovoltaic Line-to-Line Fault Diagnosis Using K-Means Clustering and AdaGrad
by Peyman Ghaedi, Aref Eskandari, Amir Nedaei, Morteza Habibi, Parviz Parvin and Mohammadreza Aghaei
Energies 2024, 17(21), 5269; https://doi.org/10.3390/en17215269 - 23 Oct 2024
Viewed by 689
Abstract
Line-to-line (LL) faults are one of the most frequent short-circuit conditions in photovoltaic (PV) arrays which are conventionally detected and cleared by overcurrent protection devices (OCPDs). However, OCPDs are shown to face challenges when detecting LL faults under critical detection conditions, i.e., low [...] Read more.
Line-to-line (LL) faults are one of the most frequent short-circuit conditions in photovoltaic (PV) arrays which are conventionally detected and cleared by overcurrent protection devices (OCPDs). However, OCPDs are shown to face challenges when detecting LL faults under critical detection conditions, i.e., low mismatch levels and/or high fault impedance values. This occurs due to insufficient fault current, thus leaving the LL faults undetected and leading to power losses and even catastrophic fire hazards. To compensate for OCPD deficiencies, recent studies have proposed modern artificial intelligence (AI)-based methods. However, various limitations can still be witnessed even in AI-based methods, such as (i) most of the models requiring a massive training dataset, (ii) critical fault detection conditions not being taken into consideration, (iii) models not being accurate enough when dealing with critical conditions, etc. To this end, the present paper proposes a learning vector quantization (LVQ)-based ensemble learning model in which three LVQs are individually trained to detect and classify LL faults in PV arrays. The initial LVQ vectors are determined using the k-means clustering method, and the learning rate is optimized by the adaptive gradient (AdaGrad) optimizer. The training and testing datasets are collected according to the PV array’s current–voltage (I–V) characteristic curve, and several features are extracted based on the Canberra and chi-squared distance techniques. The model utilizes a small training dataset, considers various critical detection conditions for LL faults—such as different mismatch levels and fault impedance values—and the final experimental results show that the model achieves an impressive average accuracy of 99.26%. Full article
(This article belongs to the Special Issue Terawatt-Scale Grid-Connected Photovoltaic Systems)
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Figure 1
<p>Structural and functional insights into a 3 × 6 PV array.</p>
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<p>Investigating the role of impedance and mismatch percentages in determining LL fault severity in PV.</p>
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<p>Graphical illustration of the proposed optimized method of LVQs for fault detection.</p>
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<p>Specific points along the I–V curve of a PV array to construct the initial dataset.</p>
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<p>LVQ neural network.</p>
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<p>Example of a typical confusion matrix.</p>
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<p>PV experimental setup: (<b>a</b>) PV array; (<b>b</b>) integral components such as the DC–DC boost converter and supplementary equipment.</p>
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<p>Data acquisition setup for generating the I–V curves of the PV array.</p>
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<p>Determining optimal cluster number through WCSS analysis: (<b>a</b>) LVQ1; (<b>b</b>) LVQ2; (<b>c</b>) LVQ3.</p>
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<p>The trend of changes in learning rate to select the most optimum learning rate using AdaGrad: (<b>a</b>) LVQ1; (<b>b</b>) LVQ2; (<b>c</b>) LVQ3.</p>
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<p>The training and validation performances for LVQs using optimal learning rates: (<b>a</b>) LVQ1 accuracy; (<b>b</b>) LVQ1 loss; (<b>c</b>) LVQ2 accuracy; (<b>d</b>) LVQ2 loss; (<b>e</b>) LVQ3 accuracy; (<b>f</b>) LVQ3 loss.</p>
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<p>Evolution of gradient norm trends across epochs during training: (<b>a</b>) LVQ1; (<b>b</b>) LVQ2; (<b>c</b>) LVQ3.</p>
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<p>The confusion matrix of learning algorithms during validation process: (<b>a</b>) boosting AdaBoost; (<b>b</b>) bagging random forest; (<b>c</b>) gradient boosting; (<b>d</b>) the proposed method. Note: Confusion matrices use a heatmap color scheme where lighter colors represent low values, and darker colors represent high values. This makes it easy to visually assess the matrix at a glance.</p>
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<p>The confusion matrix of learning algorithms during testing process: (<b>a</b>) boosting AdaBoost; (<b>b</b>) bagging random forest; (<b>c</b>) gradient boosting; (<b>d</b>) the proposed method. Note: Confusion matrices use a heatmap color scheme where lighter colors represent low values, and darker colors represent high values. This makes it easy to visually assess the matrix at a glance.</p>
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16 pages, 3207 KiB  
Article
Increasing Microwave Penetration Depth in the Human Body by a Complex Impedance Match of Skin Interface with a Two-Layered Medium
by Meng-Lu Ma, Deshuang Zhao, Zai-Jun Hu, Yiling Wang, Feng Liang and Bing-Zhong Wang
Electronics 2024, 13(19), 3915; https://doi.org/10.3390/electronics13193915 - 3 Oct 2024
Viewed by 664
Abstract
Increasing the radiated microwave penetration depth is the key to breaking the limitations of the action range in the lossy human body for non-invasive microwave technologies such as microwave hyperthermia, microwave imaging, and the wireless charging of implantable devices. This paper presents a [...] Read more.
Increasing the radiated microwave penetration depth is the key to breaking the limitations of the action range in the lossy human body for non-invasive microwave technologies such as microwave hyperthermia, microwave imaging, and the wireless charging of implantable devices. This paper presents a method to increase the radiated microwave penetration depth in the lossy human body by matching the complex impedance of the skin surface using a two-layered medium. The proposed method avoided the impedance mismatch caused by the real impedance assumption of the skin surface for a lossy human body when using the traditional method. Therefore, the reflection loss on the skin surface could be significantly reduced, thereby increasing the penetration depth of the radiated microwave. Moreover, this method could select a suitable medium for the matched Layer 1 by adjusting the relative permittivity of the matched Layer 2, which is more practical than the single-layer-medium optimization method where the relative permittivity cannot be adjusted. The full-wave simulation results showed that the microwave penetration depth of the proposed method at an input power of 0.5 W was 21.01 mm and could significantly increase by 83.18% and 21.37% compared with those in a no-matched layer model and in a traditional 1/4 wavelength medium match method, respectively. Full article
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<p>Illustration of the radiated microwaves penetrating into the human body from the skin surface by (<b>a</b>) a diffused beam, (<b>b</b>) a focused beam, and (<b>c</b>) a plane wave with a single-layered medium.</p>
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<p>The simplified layered model of the superficial human body.</p>
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<p>Real and complex impedance models of skin surfaces matched with different layered media: (<b>a</b>) real impedance model of a skin surface matched with a single-layered medium; (<b>b</b>) complex impedance model of a skin surface matched with a single-layered medium; (<b>c</b>) complex impedance model of a skin surface matched with a two-layered medium.</p>
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<p>Correspondence between different parameters of the two matched layers.</p>
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<p>The amplitude distribution of electric fields in three models: (<b>a</b>) no-matched layer; (<b>b</b>) Method 1; (<b>c</b>) Method 2; (<b>d</b>) Method 3.</p>
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<p>The intensity distribution of energy flow densities in three models: (<b>a</b>) no-matched layer; (<b>b</b>) Method 1; (<b>c</b>) Method 2; (<b>d</b>) Method 3.</p>
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<p>The amplitude distribution of electric fields on the <span class="html-italic">z</span>-axis.</p>
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<p>The energy flow density distribution on the <span class="html-italic">z</span>-axis.</p>
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<p>Temperature dependence of incremental electrical parameters of human liver tissue.</p>
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<p>Influence of electrical parameter errors of the tissue model on the microwave penetration effect of the proposed Method 3.</p>
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15 pages, 4917 KiB  
Article
Investigation on Overvoltage Distribution in Stator Windings of Permanent Magnet Synchronous Wind Turbines
by Shulin Li, Fuqiang Tian, Haitao He, Hongqi Liu, Shifu Zhang and Yudi Li
Energies 2024, 17(17), 4255; https://doi.org/10.3390/en17174255 - 26 Aug 2024
Viewed by 582
Abstract
The PWM voltage pulses output by the inverter reaches the stator winding of the wind turbine generator through the cable. Due to the impedance mismatch between the motor and the cable, the voltage at the motor end rises under the action of the [...] Read more.
The PWM voltage pulses output by the inverter reaches the stator winding of the wind turbine generator through the cable. Due to the impedance mismatch between the motor and the cable, the voltage at the motor end rises under the action of the circuit wave process; on the other hand, electromagnetic oscillation occurs within the motor winding. Higher overvoltage is generated under the combined effect of both, which greatly accelerates the aging and breakdown of the insulation layer of the permanent magnet synchronous wind turbine. In this paper, a three-dimensional electromagnetic model of the permanent magnet synchronous wind turbine generator is established. The distribution circuit parameters of the stator winding of the permanent magnet machine are calculated using the finite element method, and its circuit model is based. The voltage distribution of the stator winding under different PWM excitations is investigated by simulation software, and the effects of the time of the rising edge and the pulse width of the PWM pulse on the stator winding voltage to ground and the turn-to-turn voltage distribution are studied. The results show that the effect of the rising edge time is larger when the rising edge time is shorter, the maximum voltage to ground occurs in the first coil, and the amplitude can be up to 1.5 times of the output voltage. When the rising edge time is longer, the maximum voltage to ground occurs in the end coil, and the amplitude is slightly higher than the output voltage. The trend of turn-to-turn voltage variation is similar for different rising edges; only the maximum turn-to-turn voltage amplitude is different. Pulse width has a small effect on overvoltage and only occurs when the pulse width is less than 10 μs. The research results of this paper are of great significance in revealing the aging and breakdown mechanism of the generator stator insulation, as well as the insulation coordination and design. Full article
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<p>Equivalent circuit overall model.</p>
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<p>Single-coil circuit model.</p>
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<p>Stator and rotor models of PMSM.</p>
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<p>Structure diagram of permanent magnet synchronous generator stator winding.</p>
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<p>The overall model of PMSM.</p>
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<p>Waveform of the rising edge of PWM pulse. <span class="html-italic">t<sub>rise</sub></span> = <span class="html-italic">t</span><sub>2</sub> − <span class="html-italic">t</span><sub>1</sub>, represents the PWM rise time, Δ<span class="html-italic">t</span> = <span class="html-italic">t</span><sub>3</sub> − <span class="html-italic">t</span><sub>2</sub>, represents the pulse width time. <span class="html-italic"><sub>As</sub></span> is the output voltage.</p>
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<p>Characteristics of motor terminal voltage distribution at different rising time.</p>
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<p>Characteristics of the maximum voltage distribution across the winding to ground for different rising time.</p>
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<p>Characteristics of maximum turn-to-turn voltage distribution of the winding at different rising times.</p>
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<p>Characteristics of ground voltage distribution for different pulse widths.</p>
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<p>Characteristics of turn-to-turn voltage distribution for different pulse widths.</p>
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<p>Voltage to ground waveform at 0.1 μs rising edge. (<b>a</b>) Measured voltage to ground; (<b>b</b>) Simulation waveforms.</p>
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<p>Voltage waveform between coils under 0.1 μs rising edge. (<b>a</b>) Measured voltage to ground; (<b>b</b>) Simulation waveforms.</p>
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<p>Voltage to ground waveform at 5 μs pulse width. (<b>a</b>) Measured voltage to ground; (<b>b</b>) Simulation waveforms.</p>
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<p>Voltage waveform between coils under at 5 μs pulse width. (<b>a</b>) Measured voltage to ground; (<b>b</b>) Simulation waveforms.</p>
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17 pages, 4457 KiB  
Article
Modulating Electrical Properties of Ti64/B4C Composite Materials via Laser Direct Manufacturing with Varying B4C Contents
by Wenshu Zhang, Hui Chang, Ning Dang and Lian Zhou
Materials 2024, 17(17), 4184; https://doi.org/10.3390/ma17174184 - 23 Aug 2024
Viewed by 603
Abstract
The modulation of electrical properties in composite materials is critical for applications requiring tailored electrical functionality, such as electromagnetic shielding and absorption. This study focuses on Ti64/B4C composites, a material combination promising enhanced electromagnetic properties. Laser direct manufacturing (LDM) was utilized [...] Read more.
The modulation of electrical properties in composite materials is critical for applications requiring tailored electrical functionality, such as electromagnetic shielding and absorption. This study focuses on Ti64/B4C composites, a material combination promising enhanced electromagnetic properties. Laser direct manufacturing (LDM) was utilized to fabricate coaxial samples of Ti64 blended with TiB and TiC in various mass ratios, with sample thicknesses ranging from 0.5 mm to 3.5 mm. The electrical characterization involved assessing the dielectric and magnetic permeability, as well as impedance and reflectance, across a frequency spectrum of 2 to 18 GHz. The result reveals that TiC, when incorporated into Ti64, exhibits strong dielectric polarization and achieves a reflectivity as low as −40 dB between 7 and 14 GHz. Conversely, TiB demonstrates effective electromagnetic absorption, with reflectivity values below −10 dB in the frequency band of 8.5 to 11.5 GHz. The study also notes that a lower B4C content enhances electronic polarization and increases the dielectric coefficient, while higher contents favor ionic polarization. This shift can lead to a timing mismatch in the establishment of electron and ion polarization, resulting in a decreased dielectric coefficient. In addition, adjusting the B4C content in Ti64/B4C composites effectively modulates their electrical properties, suggesting a strategic approach to designing materials for specific electromagnetic functions. Full article
(This article belongs to the Special Issue Low-Dimensional Electromagnetic Functional Materials)
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<p>(<b>a</b>) Schematic diagram of specimen preparation processes via LDM. (<b>b</b>) Structure sketch of vector network analyzer testing processes.</p>
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<p>The electromagnetic parameters of Ti64/B<sub>4</sub>C with different ratios: (<b>a</b>) real part of dielectric coefficient, (<b>b</b>) imaginary part of dielectric coefficient, (<b>c</b>) real part of magnetic permeability, (<b>d</b>) imaginary part of magnetic permeability.</p>
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<p>The impedance values of Ti64/B<sub>4</sub>C with different ratios; (<b>a</b>–<b>d</b>) correspond to the impedance values of A1~A4 samples at different thicknesses, respectively.</p>
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<p>The impedance values of Ti64/B<sub>4</sub>C with different ratios; (<b>a</b>–<b>d</b>) correspond to the impedance values of A1~A4 samples at different thicknesses, respectively.</p>
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<p>The impedance values of Ti64/B<sub>4</sub>C with different ratios; (<b>a</b>–<b>d</b>) correspond to the reflectivity of A1~A4 samples at different thicknesses, respectively.</p>
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<p>The electromagnetic parameters of Ti64/TiB with different ratios: (<b>a</b>) real part of dielectric coefficient, (<b>b</b>) imaginary part of dielectric coefficient, (<b>c</b>) real part of magnetic permeability, (<b>d</b>) imaginary part of magnetic permeability.</p>
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<p>The impedance values of Ti64/TiB with different ratios; (<b>a</b>–<b>d</b>) correspond to the impedance values of B1~B4 samples at different thicknesses, respectively.</p>
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<p>The impedance values of Ti64/TiB at different ratios; (<b>a</b>–<b>d</b>) correspond to the reflectivity of B1~B4 samples at different thicknesses, respectively.</p>
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<p>The electromagnetic parameters of Ti64/TiC with different ratios; (<b>a</b>) real part of dielectric coefficient, (<b>b</b>) imaginary part of dielectric coefficient, (<b>c</b>) real part of magnetic permeability, (<b>d</b>) imaginary part of magnetic permeability.</p>
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<p>Shows the impedance values of Ti64/TiC with different ratios, (<b>a</b>–<b>d</b>) correspond to the impedance values of B1~B4 samples at different thicknesses, respectively.</p>
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<p>The impedance values of Ti64/TiC with different ratios; (<b>a</b>–<b>d</b>) correspond to the reflectivity of C1~C4 samples at different thicknesses, respectively.</p>
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10 pages, 1282 KiB  
Review
A New Look at Immunogenetics of Pregnancy: Maternal Major Histocompatibility Complex Class I Educates Uterine Natural Killer Cells
by Manon Bos and Francesco Colucci
Int. J. Mol. Sci. 2024, 25(16), 8869; https://doi.org/10.3390/ijms25168869 - 15 Aug 2024
Cited by 2 | Viewed by 1315
Abstract
Our incomplete knowledge of maternal–fetal interface (MFI) physiology impedes a better understanding of the pathological mechanisms leading to pregnancy complications, such as pre-eclampsia and fetal growth restriction. At the MFI, uterine natural killer (uNK) cells do not attack fetal cells but engage in [...] Read more.
Our incomplete knowledge of maternal–fetal interface (MFI) physiology impedes a better understanding of the pathological mechanisms leading to pregnancy complications, such as pre-eclampsia and fetal growth restriction. At the MFI, uterine natural killer (uNK) cells do not attack fetal cells but engage in crosstalk with both fetal and maternal cells to support feto-placental development. However, mother and fetus are genetically half-mismatched and certain combinations of variable immune genes—human leukocyte antigens (HLAs) and killer-cell immunoglobulin-like receptor (KIR), indeed, the most variable gene sets in the genome—associate with pregnancy outcomes, suggesting that these interactions regulate uNK cell function. How do these interactions influence the physiology and pathology at the MFI? Uterine NK cell function is regulated by both maternal and fetal Major Histocompatibility Complex (MHC); however, evidence for fetal cells educating uNK cells is lacking, and new evidence shows that maternal rather than fetal MHC class I molecules educate uNK cells. Furthermore, uNK cell education works through self-recognition by the ancient and conserved NKG2A receptor. Pregnant mice lacking this receptor produce normal litter sizes, but a significant portion of the offspring have low birthweight and abnormal brain development. Evidence from a genome-wide association study of over 150,000 human pregnancies validates the finding because women whose NKG2A receptor is genetically determined to engage their own MHC class I molecules are exposed to lower risk of developing pre-eclampsia, suggesting that maternal uNK cell education is a pre-requisite for a healthy pregnancy and, likely, for healthy offspring too. Full article
(This article belongs to the Special Issue Reproductive Immunology: Cellular and Molecular Biology 3.0)
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<p>Uterine NK cells interact with extravillous trophoblasts: Extra villous trophoblasts invade in the spiral arteries, decidua and myometrium of the uterus. Uterine NK cells engage in crosstalk with trophoblast. Trophoblasts are a unique kind of extraembryonic cells that pose interesting immunological challenges [<a href="#B1-ijms-25-08869" class="html-bibr">1</a>].</p>
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<p>uNK cell education and inhibition by KIR and HLA-C1 or C2: uNK cell education may occur in the endometrium before pregnancy, and therefore, it is regulated by combinations of maternal KIR and maternal HLA-C variants. During pregnancy, fetal HLA-C2 on trophoblast may also regulate uNK cells by overly suppressing uNK cells that express the cognate inhibitory KIR2DL1 receptor. uNK cells expressing KIR2DL3 (red) are educated by maternal HLA-C1 (upper row) but not by maternal HLA-C2 (second row) in the endometrium. uNK cells expressing KIR2DL1 (blue) are not educated by maternal HLA-C1 (third row) and are educated by maternal HLA-C2 (bottom row). During pregnancy, the immunogenetics combinations of the two top rows do not pose risks for pregnancy complications, regardless of the trophoblast HLA-C allotype, because the inhibitory interactions are not too strong, and uNK cells maintain functionality. On the other hand, in HLA-C1/C1 women (third row), trophoblast HLA-C2 inhibit KIR2DL1-expressing uNK cells in the decidua, exposing women to greater risks of pregnancy complications because the uNK cells are overly inhibited. In HLA-C2 women, uNK cells are KIR2DL1-educated in the endometrium and, during pregnancy, can maintain functionality despite HLA-C2 expression by the trophoblast (bottom row).</p>
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<p>uNK cell education and inhibition by NKG2A and HLA-E. uNK cells express NKG2A. Depending on the HLA-B dimorphism in an individual, expression of HLA-E is either low (left, top row) or high (left, bottom row) in the endometrium or decidua of an individual. Genetically determined HLA-E expression levels determine whether uNK cells are educated through NKG2A in the endometrium; low HLA-E levels result in inadequate NKG2A education (left, top row) and high HLA-E levels result in adequate NKG2A education (right, bottom row). During pregnancy, trophoblast cells express the highest levels of HLA-E in the decidua and can inhibit NKG2A-expressing uNK cells. Women with inadequate NKG2A education (right, upper row) are exposed to greater risks of pregnancy complications because their uNK cells are overly inhibited. On the other hand, women with adequate NKG2A education maintain uNK cell functionality (right, bottom row).</p>
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21 pages, 6463 KiB  
Article
A Fast State-of-Charge (SOC) Balancing and Current Sharing Control Strategy for Distributed Energy Storage Units in a DC Microgrid
by Qin Luo, Jiamei Wang, Xuan Huang and Shunliang Li
Energies 2024, 17(16), 3885; https://doi.org/10.3390/en17163885 - 6 Aug 2024
Cited by 1 | Viewed by 998
Abstract
In isolated operation, DC microgrids require multiple distributed energy storage units (DESUs) to accommodate the variability of distributed generation (DG). The traditional control strategy has the problem of uneven allocation of load current when the line impedance is not matched. As the state-of-charge [...] Read more.
In isolated operation, DC microgrids require multiple distributed energy storage units (DESUs) to accommodate the variability of distributed generation (DG). The traditional control strategy has the problem of uneven allocation of load current when the line impedance is not matched. As the state-of-charge (SOC) balancing proceeds, the SOC difference gradually decreases, leading to a gradual decrease in the balancing rate. Thus, an improved SOC droop control strategy is introduced in this paper, which uses a combination of power and exponential functions to improve the virtual impedance responsiveness to SOC changes and introduces an adaptive acceleration factor to improve the slow SOC balancing problem. We construct a sparse communication network to achieve information exchange between DESU neighboring units. A global optimization controller employing the consistency algorithm is designed to mitigate the impact of line impedance mismatch on SOC balancing and current allocation. This approach uses a single controller to restore DC bus voltage, effectively reducing control connections and alleviating the communication burden on the system. Lastly, a simulation model of the DC microgrid is developed using MATLAB/Simulink R2021b. The results confirm that the proposed control strategy achieves rapid SOC balancing and the precise allocation of load currents in various complex operational scenarios. Full article
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<p>DC microgrid structure diagram.</p>
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<p>Equivalent circuit diagram of DESU in parallel.</p>
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<p>Overall control block diagram.</p>
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<p>DESUs’ communication topology network.</p>
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<p>The effect of different values of <span class="html-italic">m</span>, <span class="html-italic">p</span> and <span class="html-italic">n</span> on <span class="html-italic">R</span><sub>d</sub>. (<b>a</b>) <span class="html-italic">m</span> = 5, <span class="html-italic">n</span> = 2; (<b>b</b>) <span class="html-italic">m</span> = 5, <span class="html-italic">n</span> = 4; (<b>c</b>) <span class="html-italic">p</span> = 5, <span class="html-italic">n</span> = 2; (<b>d</b>) <span class="html-italic">p</span> = 5, <span class="html-italic">n</span> = 4.</p>
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<p>The effect of different values of <span class="html-italic">m</span>, <span class="html-italic">p</span> and <span class="html-italic">n</span> on <span class="html-italic">R</span><sub>d</sub>. (<b>a</b>) <span class="html-italic">m</span> = 5, <span class="html-italic">n</span> = 2; (<b>b</b>) <span class="html-italic">m</span> = 5, <span class="html-italic">n</span> = 4; (<b>c</b>) <span class="html-italic">p</span> = 5, <span class="html-italic">n</span> = 2; (<b>d</b>) <span class="html-italic">p</span> = 5, <span class="html-italic">n</span> = 4.</p>
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<p>The effect of differences in <span class="html-italic">α</span> and <span class="html-italic">d</span> on <span class="html-italic">R</span><sub>d</sub>. (<b>a</b>) <span class="html-italic">d</span> = 0.1, <span class="html-italic">α</span> different; (<b>b</b>) <span class="html-italic">α</span> = 3, <span class="html-italic">d</span> different.</p>
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<p>Droop control based on virtual current rating.</p>
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<p>The control schematic of DESU<span class="html-italic"><sub>i</sub></span>.</p>
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<p>Trajectory diagram of the roots of the characteristic equations of the system. (<b>a</b>) <span class="html-italic">r</span><sub>1</sub> = 0.8 Ω, <span class="html-italic">r</span><sub>2</sub> = 1 Ω, <span class="html-italic">R</span><sub>load</sub> = 80 Ω, <span class="html-italic">ω<sub>c</sub></span> = 60 rad/s and <span class="html-italic">R</span><sub>d1</sub> increased from 1 to 50 Ω; (<b>b</b>) <span class="html-italic">r</span><sub>1</sub> = 0.8 Ω, <span class="html-italic">r</span><sub>2</sub> = 1 Ω, <span class="html-italic">R</span><sub>load</sub> = 100 Ω, <span class="html-italic">R</span><sub>d1</sub> = 1 Ω and <span class="html-italic">ω<sub>c</sub></span> increased from 10 to 60 rad/s; (<b>c</b>) <span class="html-italic">r</span><sub>1</sub> = 0.8 Ω, <span class="html-italic">r</span><sub>2</sub> = 1 Ω, <span class="html-italic">R</span><sub>d1</sub> = 1 Ω, <span class="html-italic">ω<sub>c</sub></span> = 5 rad/s and <span class="html-italic">R</span><sub>load</sub> increased from 10 to 1000 Ω; (<b>d</b>) <span class="html-italic">r</span><sub>1</sub> = 0.8 Ω, <span class="html-italic">R</span><sub>d1</sub> = 1 Ω, <span class="html-italic">R</span><sub>load</sub> =80 Ω, <span class="html-italic">ω<sub>c</sub></span> = 10 rad/s and <span class="html-italic">r</span><sub>2</sub> increased from 1 to 5 Ω.</p>
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<p>Simulation results with the strategy mentioned in ref. [<a href="#B13-energies-17-03885" class="html-bibr">13</a>] for Case 1. (<b>a</b>) SOC; (<b>b</b>) output current; (<b>c</b>) bus voltage.</p>
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<p>Simulation results with the strategy mentioned in this paper for Case 1. (<b>a</b>) SOC; (<b>b</b>) output current; (<b>c</b>) bus voltage.</p>
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<p>Simulation results with the strategy mentioned in ref. [<a href="#B13-energies-17-03885" class="html-bibr">13</a>] for Case 2. (<b>a</b>) SOC; (<b>b</b>) output current; (<b>c</b>) bus voltage.</p>
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<p>Simulation results with the strategy mentioned in this paper for Case 2. (<b>a</b>) SOC; (<b>b</b>) output current; (<b>c</b>) bus voltage.</p>
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<p>Simulation results for Case 3. (<b>a</b>) Output power; (<b>b</b>) SOC; (<b>c</b>) output current; (<b>d</b>) bus voltage.</p>
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<p>Simulation results for Case 4. (<b>a</b>) Output power; (<b>b</b>) SOC; (<b>c</b>) output current; (<b>d</b>) bus voltage.</p>
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<p>Communication topology for five groups of energy storage.</p>
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<p>Simulation results for Case 5. (<b>a</b>) SOC; (<b>b</b>) output current; (<b>c</b>) bus voltage.</p>
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