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Search Results (398)

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Keywords = Configurational entropy

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27 pages, 9510 KiB  
Article
What Configurational Paths Enhance the High-Quality Construction of Cold Region Rural Landscapes? A Fuzzy-Set Qualitative Comparative Analysis of 66 Villages in Heilongjiang Province
by Jie Meng, Qing Yuan, Hong Leng, Tianjiao Yan, Fanqiu Kong and Ayesha Anwar
Sustainability 2024, 16(23), 10295; https://doi.org/10.3390/su162310295 (registering DOI) - 25 Nov 2024
Viewed by 378
Abstract
This study addresses the construction of high-quality rural landscapes, crucial for China’s rural revitalization strategy, encompassing economic, social, cultural, and ecological dimensions. Focusing on 66 cold-region villages in Heilongjiang Province, it develops a dual-dimensional quality evaluation system that integrates both objective data and [...] Read more.
This study addresses the construction of high-quality rural landscapes, crucial for China’s rural revitalization strategy, encompassing economic, social, cultural, and ecological dimensions. Focusing on 66 cold-region villages in Heilongjiang Province, it develops a dual-dimensional quality evaluation system that integrates both objective data and subjective perception indicators. It employs the entropy weight TOPSIS model to evaluate and grade the quality of rural landscapes and uses fuzzy-set Qualitative Comparative Analysis (fsQCA) to analyze the complex causal relationships influencing high-quality rural landscapes. The results show that (1) The TOPSIS model identifies four grades of rural landscape quality: “Excellent-Good-Average-Poor”, with “Excellent and Good” grades defined as high-quality rural landscape. (2) The fsQCA reveals eight configuration paths that influence high-quality rural landscapes, which are categorized into four models: natural ecology, efficient industry, cultural heritage, and comprehensive development. The main contribution of this study lies in its systematic analysis of the complex causal relationships affecting rural landscape quality, providing a theoretical and technological foundation for guiding the sustainable development of cold-region rural landscapes within the framework of rural revitalization strategy in China. Full article
(This article belongs to the Special Issue Environmental and Social Sustainability in Rural Development)
Show Figures

Figure 1

Figure 1
<p>Rural research object location map: (<b>a</b>) The location of Heilongjiang Province in China; (<b>b</b>) Geographical distribution of the 66 representative rural landscape samples in Heilongjiang Province.</p>
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<p>Research framework.</p>
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<p>Distribution of indicator weights in dual-dimensional comprehensive evaluation system for rural landscape.</p>
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<p>Indicator weight distribution in the element layer (Layer B).</p>
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<p>Theoretical model for studying configuration paths of high-quality rural landscape.</p>
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<p>Classification of comprehensive evaluation grades for rural landscape quality in 66 villages of Heilongjiang Province.</p>
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<p>Evaluation results of four single criterion layers of rural landscape: (<b>a</b>) Kernel density analysis of natural ecological landscape; (<b>b</b>) Kernel density analysis of settlement landscape; (<b>c</b>) Kernel density analysis of industrial economic landscape; (<b>d</b>) Kernel density analysis of cultural historical landscape.</p>
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<p>Configuration paths and development models of high-quality rural landscape.</p>
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<p>The distribution map of the 66 representative rural landscape samples with different development models in Heilongjiang Province.</p>
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<p>Impact factors relationship radar chart of Fanshen Village (NO.16).</p>
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<p>Impact factors relationship radar chart of Xingshisi Village (NO.1).</p>
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27 pages, 1340 KiB  
Article
Fusing Machine Learning and AI to Create a Framework for Employee Well-Being in the Era of Industry 5.0
by Cosmina-Mihaela Rosca and Adrian Stancu
Appl. Sci. 2024, 14(23), 10835; https://doi.org/10.3390/app142310835 - 22 Nov 2024
Viewed by 379
Abstract
Employees are the most valuable resources in any company, and their well-being directly influences work productivity. This research investigates integrating health parameters and sentiment analysis expressed in sent messages to enhance employee well-being within organizations in the context of Industry 5.0. Our primary [...] Read more.
Employees are the most valuable resources in any company, and their well-being directly influences work productivity. This research investigates integrating health parameters and sentiment analysis expressed in sent messages to enhance employee well-being within organizations in the context of Industry 5.0. Our primary aim is to develop a Well-Being Index (WBI) that quantifies employee health through various physiological and psychological parameters. A new methodology combining data collection from wearable devices from 1 January 2023 to 18 October 2024 and advanced text analytics was employed to achieve the WBI. This study uses the LbfgsMaximumEntropy ML classification algorithm to construct the Well-Being Model (WBM) and Azure Text Analytics for sentiment evaluation to assess negative messages among employees. The findings reveal a correlation between physiological metrics and self-reported well-being, highlighting the utility of the WBI in identifying areas of concern within employee behavior. We propose that the employee global indicator (EGI) is calculated based on the WBI and the dissatisfaction score component (DSC) to measure the overall state of mind of employees. The WBM exhibited a MacroAccuracy of 91.81% and a MicroAccuracy of 95.95% after 384 configurations were analyzed. Azure Text Analytics evaluated 2000 text messages, resulting in a Precision of 99.59% and an Accuracy of 99.7%. In this case, the Recall was 99.89% and F1-score was 99.73%. In the Industry 5.0 environment, which focuses on the employee, a new protocol, the Employee KPI Algorithm (EKA), is integrated to prevent and identify employee stress. This study underscores the synergy between quantitative health metrics and qualitative sentiment analysis, offering organizations a framework to address employee needs proactively. Full article
(This article belongs to the Special Issue AI Horizons: Present Status and Visions for the Next Era)
24 pages, 9885 KiB  
Article
General Three-Body Problem in Conformal-Euclidean Space: New Properties of a Low-Dimensional Dynamical System
by Ashot S. Gevorkyan, Aleksander V. Bogdanov and Vladimir V. Mareev
Particles 2024, 7(4), 1038-1061; https://doi.org/10.3390/particles7040063 - 20 Nov 2024
Viewed by 329
Abstract
Despite the huge number of studies of the three-body problem in physics and mathematics, the study of this problem remains relevant due to both its wide practical application and taking into account its fundamental importance for the theory of dynamical systems. In addition, [...] Read more.
Despite the huge number of studies of the three-body problem in physics and mathematics, the study of this problem remains relevant due to both its wide practical application and taking into account its fundamental importance for the theory of dynamical systems. In addition, one often has to answer the cognitive question: is irreversibility fundamental for the description of the classical world? To answer this question, we considered a reference classical dynamical system, the general three-body problem, formulating it in conformal Euclidean space and rigorously proving its equivalence to the Newtonian three-body problem. It has been proven that a curved configuration space with a local coordinate system reveals new hidden symmetries of the internal motion of a dynamical system, which makes it possible to reduce the problem to a sixth-order system instead of the eighth order. An important consequence of the developed representation is that the chronologizing parameter of the motion of a system of bodies, which we call internal time, differs significantly from ordinary time in its properties. In particular, it more accurately describes the irreversible nature of multichannel scattering in a three-body system and other chaotic properties of a dynamical system. The paper derives an equation describing the evolution of the flow of geodesic trajectories, with the help of which the entropy of the system is constructed. New criteria for assessing the complexity of a low-dimensional dynamical system and the dimension of stochastic fractal structures arising in three-dimensional space are obtained. An effective mathematical algorithm is developed for the numerical simulation of the general three-body problem, which is traditionally a difficult-to-solve system of stiff ordinary differential equations. Full article
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Figure 1

Figure 1
<p>The problem of multichannel scattering in a classical three-body system can be represented in the most general form, as shown in the diagram, where 1, 2 and 3 denote interacting particles, brackets (<math display="inline"><semantics> <mrow> <mo>⋯</mo> </mrow> </semantics></math>) denote a coupled system of two bodies, and <math display="inline"><semantics> <msup> <mrow> <mo>(</mo> <mo>⋯</mo> <mo>)</mo> </mrow> <mo>∗</mo> </msup> </semantics></math> and <math display="inline"><semantics> <msup> <mrow> <mo>(</mo> <mo>⋯</mo> <mo>)</mo> </mrow> <mrow> <mo>∗</mo> <mo>∗</mo> </mrow> </msup> </semantics></math> denote accordingly some short-lived coupled three-body system.</p>
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<p>In the Cartesian coordinate system <math display="inline"><semantics> <mrow> <mo>(</mo> <mi>X</mi> <mo>,</mo> <mi>Y</mi> <mo>,</mo> <mi>Z</mi> <mo>)</mo> </mrow> </semantics></math>, the Jacobi coordinates <math display="inline"><semantics> <mrow> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>ρ</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>ρ</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>ρ</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> </mrow> </semantics></math> are shown, where the colored circles indicate bodies 1, 2 and 3, and the colorless circle respectively indicates the center of mass of bodies 2 and 3.</p>
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<p>The set of smooth curves <math display="inline"><semantics> <mrow> <mi mathvariant="fraktur">s</mi> <mo>=</mo> <mo>(</mo> <msub> <mi mathvariant="fraktur">s</mi> <mn>1</mn> </msub> <mo>,</mo> <mspace width="0.166667em"/> <msub> <mi mathvariant="fraktur">s</mi> <mn>2</mn> </msub> <mo>,</mo> <mspace width="0.166667em"/> <msub> <mi mathvariant="fraktur">s</mi> <mn>3</mn> </msub> <mo>,</mo> <mspace width="0.166667em"/> <msub> <mi mathvariant="fraktur">s</mi> <mn>4</mn> </msub> <mo>)</mo> </mrow> </semantics></math> connecting the asymptotic subspace <math display="inline"><semantics> <mrow> <mo>(</mo> <mi>i</mi> <mi>n</mi> <mo>)</mo> </mrow> </semantics></math>, in which the three-body system <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>+</mo> <mo>(</mo> <mn>23</mn> <mo>)</mo> </mrow> </semantics></math> is grouped, with other asymptotic subspaces <math display="inline"><semantics> <mrow> <mo>(</mo> <mi>o</mi> <mi>u</mi> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math>, where the particles are grouped as follows: <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>+</mo> <mo>(</mo> <mn>23</mn> <mo>)</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> <mo>+</mo> <mn>3</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> <mo>+</mo> <mn>2</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>+</mo> <mn>2</mn> <mo>+</mo> <mn>3</mn> </mrow> </semantics></math>. The distance between particles “<span class="html-italic">i</span>” and “<span class="html-italic">j</span>” in the Cartesian coordinate system is given by the expression <math display="inline"><semantics> <mrow> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math><math display="inline"><semantics> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mspace width="0.166667em"/> <mi>i</mi> <mo>≠</mo> <mi>j</mi> <mo>)</mo> </mrow> </semantics></math>, and <math display="inline"><semantics> <msubsup> <mi>r</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>0</mn> </msubsup> </semantics></math> - the average distance between particles in the corresponding pairs. During the scattering process, the three-dimensional internal time <math display="inline"><semantics> <mrow> <mi mathvariant="fraktur">s</mi> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </semantics></math>, which has an arrow, selects a specific asymptotic subspace for transition, which in some conditions may be random.</p>
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<p>Energy surface of interaction particles for three different scattering angles. Recall that <math display="inline"><semantics> <msub> <mi>ρ</mi> <mn>3</mn> </msub> </semantics></math> in Jacobi coordinates determines the scattering angle, i.e., <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mn>3</mn> </msub> <mo>=</mo> <mi>ϑ</mi> </mrow> </semantics></math> (see <a href="#particles-07-00063-f002" class="html-fig">Figure 2</a>).</p>
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<p>A manifold of the family <math display="inline"><semantics> <mi mathvariant="script">A</mi> </semantics></math>, which has the form <math display="inline"><semantics> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>β</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math> (sphere) and two additional manifolds surrounding it from left to right <math display="inline"><semantics> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>β</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>λ</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math>. Combining these manifolds by a direct product, we obtain a complete member of the family <math display="inline"><semantics> <mi mathvariant="script">A</mi> </semantics></math>, which can be represented in the following form <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="script">R</mi> <msub> <mi mathvariant="script">A</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>β</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> <mo>×</mo> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>β</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> <mo>×</mo> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>λ</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </mrow> </semantics></math>.</p>
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<p>A manifold of the family <math display="inline"><semantics> <mi mathvariant="script">B</mi> </semantics></math>, which has the form <math display="inline"><semantics> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>α</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math> (two three-dimensional pyramids fastened together) and two additional manifolds surrounding it from left to right <math display="inline"><semantics> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>α</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>α</mi> <mn>3</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>β</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math>. Combining these manifolds by a direct product, we obtain a complete member of the family <math display="inline"><semantics> <mi mathvariant="script">B</mi> </semantics></math>, which can be represented in the following form <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="script">R</mi> <msub> <mi mathvariant="script">B</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>α</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>3</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> <mo>×</mo> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>α</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>3</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> <mo>×</mo> <msubsup> <mi mathvariant="script">R</mi> <mrow> <mo>(</mo> <msub> <mi>α</mi> <mn>3</mn> </msub> <mo>,</mo> <msub> <mi>β</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>λ</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </msubsup> </mrow> </semantics></math>.</p>
Full article ">Figure 7
<p>Internal time of three particles for three different initial data on two different complete terms of the manifolds <math display="inline"><semantics> <msub> <mi mathvariant="script">A</mi> <mn>1</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi mathvariant="script">B</mi> <mn>1</mn> </msub> </semantics></math>. On the plots, blue and red colors indicate internal times that were calculated on the manifolds <math display="inline"><semantics> <msub> <mi mathvariant="script">A</mi> <mn>1</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi mathvariant="script">B</mi> <mn>1</mn> </msub> </semantics></math>, respectively. Each point of internal time, if projected onto the coordinate axes, determines the configuration of three particles at a given moment.</p>
Full article ">Figure 8
<p>On the left are plots of two internal times <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="fraktur">s</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math>-(red curve) and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="fraktur">s</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math>-(blue curve), which were obtained by calculating on the <math display="inline"><semantics> <msub> <mi mathvariant="script">A</mi> <mn>1</mn> </msub> </semantics></math> manifold with initial conditions differing by <math display="inline"><semantics> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msup> </semantics></math>. On the right is a plot of the Lyapunov exponent versus time. As can be clearly seen from the plot, the Lyapunov exponent very slowly tends to zero.</p>
Full article ">Figure 9
<p>On the left are plots of two internal times <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="fraktur">s</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math>-(red curve) and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="fraktur">s</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math>-(blue curve), which were obtained by calculating on the <math display="inline"><semantics> <msub> <mi mathvariant="script">B</mi> <mn>1</mn> </msub> </semantics></math> manifold with initial conditions differing by <math display="inline"><semantics> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msup> </semantics></math>. On the right is a plot of the Lyapunov exponent versus time.</p>
Full article ">Figure 10
<p>On the left in the first figure, internal times <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="fraktur">s</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math>-(red curve) and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="fraktur">s</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <mrow> <mo>{</mo> <mover accent="true"> <mi>ρ</mi> <mo>¯</mo> </mover> <mo>}</mo> </mrow> <mo>)</mo> </mrow> </mrow> </semantics></math>-(blue curve) are shown that were calculated on the manifolds’ families <math display="inline"><semantics> <msub> <mi mathvariant="script">A</mi> <mn>1</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi mathvariant="script">B</mi> <mn>1</mn> </msub> </semantics></math> for the same initial data using the third line of <a href="#particles-07-00063-t002" class="html-table">Table 2</a>. The second plot from the left shows the internal time <math display="inline"><semantics> <mrow> <mi mathvariant="fraktur">s</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math> depending the ordinary time “<span class="html-italic">t</span>” for the two marked families of manifolds. As can be seen from the graph, internal time can be either positive or negative. The third figure from the left shows the dimensionality of the structures formed by internal times in three-dimensional space.</p>
Full article ">
26 pages, 1879 KiB  
Article
Research on Optimization Method of Short-Circuit Current-Limiting Measures Based on Combination Assignment
by Shuqin Sun, Guanghao Zhou, Yunting Song, Xiaojun Tang, Zhenghai Yuan and Xin Qi
Energies 2024, 17(22), 5724; https://doi.org/10.3390/en17225724 - 15 Nov 2024
Viewed by 318
Abstract
This paper puts forward a selection principle and an optimization configuration method for short-circuit current-limiting measures to address the increasingly severe short-circuit current-exceeding problem brought about by the high-speed development of large power grids. Firstly, we introduce the function principle and the advantages [...] Read more.
This paper puts forward a selection principle and an optimization configuration method for short-circuit current-limiting measures to address the increasingly severe short-circuit current-exceeding problem brought about by the high-speed development of large power grids. Firstly, we introduce the function principle and the advantages and disadvantages of various short-circuit current-limiting measures in the power system and give the selection conditions of generalized short-circuit current-limiting measures. Then, we adopt the hierarchical analysis method (AHP) and entropy weighting method (EWM) to evaluate the weights of the indicators of the short-circuit current level, the line-loading level, the active loss, and the economic cost; perform the selection of multiple short-circuit current-limiting schemes after the combination of the assigned weights; and describe the generalized process of engineering used to solve the problem of short-circuit currents exceeding limits. We then provide a generalized process with which to solve the short-circuit current-exceeding problem in engineering. Finally, we take the actual large-scale power grid as an example, propose multiple short-circuit current-limiting schemes for a 220 kV power grid, and carry out the selection of optimal schemes to verify the validity and reliability of the study. The results show that this process plays an important role in controlling the short-circuit current of the power system, maintaining the safe and stable operation of the power system and improving the power system’s grid structure. Full article
(This article belongs to the Section F1: Electrical Power System)
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<p>A sketch of a 500–220 kV high- and low-voltage electromagnetic loop network.</p>
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<p>General flow of short-circuit current-limiting measure selection and optimization.</p>
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<p>Current-limiting measure: hierarchical structure of merit.</p>
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<p>Grid structure of Banan 220 kV substation in 2025, Chongqing, China.</p>
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<p>Weighting curves of indicators under different calculation methods.</p>
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<p>Score of each current-limiting scheme under each optimization method.</p>
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33 pages, 4731 KiB  
Review
Soft Matter Electrolytes: Mechanism of Ionic Conduction Compared to Liquid or Solid Electrolytes
by Kyuichi Yasui and Koichi Hamamoto
Materials 2024, 17(20), 5134; https://doi.org/10.3390/ma17205134 - 21 Oct 2024
Viewed by 801
Abstract
Soft matter electrolytes could solve the safety problem of widely used liquid electrolytes in Li-ion batteries which are burnable upon heating. Simultaneously, they could solve the problem of poor contact between electrodes and solid electrolytes. However, the ionic conductivity of soft matter electrolytes [...] Read more.
Soft matter electrolytes could solve the safety problem of widely used liquid electrolytes in Li-ion batteries which are burnable upon heating. Simultaneously, they could solve the problem of poor contact between electrodes and solid electrolytes. However, the ionic conductivity of soft matter electrolytes is relatively low when mechanical properties are relatively good. In the present review, mechanisms of ionic conduction in soft matter electrolytes are discussed in order to achieve higher ionic conductivity with sufficient mechanical properties where soft matter electrolytes are defined as polymer electrolytes and polymeric or inorganic gel electrolytes. They could also be defined by Young’s modulus from about 105 Pa to 109 Pa. Many soft matter electrolytes exhibit VFT (Vogel–Fulcher–Tammann) type temperature dependence of ionic conductivity. VFT behavior is explained by the free volume model or the configurational entropy model, which is discussed in detail. Mostly, the amorphous phase of polymer is a better ionic conductor compared to the crystalline phase. There are, however, some experimental and theoretical reports that the crystalline phase is a better ionic conductor. Some methods to increase the ionic conductivity of polymer electrolytes are discussed, such as cavitation under tensile deformation and the microporous structure of polymer electrolytes, which could be explained by the conduction mechanism of soft matter electrolytes. Full article
(This article belongs to the Special Issue Advances in Functional Soft Materials—2nd Volume)
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<p>Soft matter electrolytes defined in the present review.</p>
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<p>Change in the structure of a polymer with decreasing temperature.</p>
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<p>Schematic illustration of lithium-ion transport in a salt-in-polymer electrolyte and a polymer-in-salt electrolyte. Reprinted with permission from Ref. [<a href="#B56-materials-17-05134" class="html-bibr">56</a>]. Copyright 2021, Hongcai Gao et al.</p>
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<p>Schematic illustration of ionic conductivity as a function of salt concentration with the suggested morphology of salt-in-polymer electrolytes and polymer-in-salt electrolytes (PISE). The inset shows the data for the PTMC:LiTFSI system where PTMC is poly(trimethylene carbonate): <math display="inline"><semantics> <mrow> <msub> <mrow> <mfenced> <mrow> <msub> <mi mathvariant="normal">C</mi> <mn>4</mn> </msub> <msub> <mi mathvariant="normal">H</mi> <mn>6</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>3</mn> </msub> </mrow> </mfenced> </mrow> <mi mathvariant="normal">n</mi> </msub> </mrow> </semantics></math> and LiTFSI is lithium bis(trifluoromethanesulfonyl)imide: <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>LiC</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">F</mi> <mn>6</mn> </msub> <msub> <mrow> <mi>NO</mi> </mrow> <mn>4</mn> </msub> <msub> <mi mathvariant="normal">S</mi> <mn>2</mn> </msub> </mrow> </semantics></math>. Reprinted with permission from Ref. [<a href="#B57-materials-17-05134" class="html-bibr">57</a>]. Copyright 2018, Elsevier.</p>
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<p>(<b>a</b>) Phase diagram of the PEO-<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>LiCF</mi> </mrow> <mn>3</mn> </msub> <msub> <mrow> <mi>SO</mi> </mrow> <mn>3</mn> </msub> </mrow> </semantics></math> system. The transition temperatures were obtained using various experimental techniques; NMR ⊡, DTA or DSC ● △ ⊗, conductivity ○ ▲ <math display="inline"><semantics> <mo>×</mo> </semantics></math>, optical microscopy ■ +, and modeling ⦿. (<b>b</b>) Isotherms of ionic conductivity (<math display="inline"><semantics> <mi>σ</mi> </semantics></math>) in logarithmic scale vs. mass fraction (X) in weight of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>LiCF</mi> </mrow> <mn>3</mn> </msub> <msub> <mrow> <mi>SO</mi> </mrow> <mn>3</mn> </msub> </mrow> </semantics></math> in the electrolyte. Reprinted with permission from Ref. [<a href="#B63-materials-17-05134" class="html-bibr">63</a>]. Copyright 1986, IOP Publishing Ltd.</p>
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<p>Models of gel electrolytes. Reprinted with permission from Ref. [<a href="#B24-materials-17-05134" class="html-bibr">24</a>]. Copyright 2000, Elsevier.</p>
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<p>Schematic illustration of ionic conductivity as a function of reciprocal temperature. (a) Arrhenius behavior; (b) VFT behavior; (c) typical behavior of semi-crystalline polymers (such as PEO-based systems), where melting of the crystalline phase occurs after which VFT behavior is displayed; (d) behavior of crystalline systems where a solid–solid phase transition occurs, e.g., <math display="inline"><semantics> <mrow> <msub> <mrow> <mfenced> <mrow> <mi>PEO</mi> </mrow> </mfenced> </mrow> <mn>8</mn> </msub> <msub> <mrow> <mi>NaAsF</mi> </mrow> <mn>6</mn> </msub> </mrow> </semantics></math>. Reprinted with permission from Ref. [<a href="#B57-materials-17-05134" class="html-bibr">57</a>]. Copyright 2018, Elsevier.</p>
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<p>Ionic conductivity of a liquid electrolyte as well as crystalline or amorphous solid electrolytes as a function of reciprocal temperature. The data are from a [<a href="#B87-materials-17-05134" class="html-bibr">87</a>], b [<a href="#B88-materials-17-05134" class="html-bibr">88</a>], c [<a href="#B91-materials-17-05134" class="html-bibr">91</a>], d [<a href="#B92-materials-17-05134" class="html-bibr">92</a>], e [<a href="#B72-materials-17-05134" class="html-bibr">72</a>], f [<a href="#B89-materials-17-05134" class="html-bibr">89</a>], and g [<a href="#B90-materials-17-05134" class="html-bibr">90</a>]. Reprinted with permission from Ref. [<a href="#B86-materials-17-05134" class="html-bibr">86</a>]. Copyright 2020, Grady et al.</p>
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<p>(<b>A</b>) Structure of N-methylacetamide (Mac) (<math display="inline"><semantics> <mrow> <mi>C</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> <mi>C</mi> <mi>O</mi> <mi>N</mi> <mi>H</mi> <mi>C</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> </mrow> </semantics></math>) with its volume in <math display="inline"><semantics> <mrow> <msup> <mo>Å</mo> <mn>3</mn> </msup> </mrow> </semantics></math>. C (green), H (white), N (blue), and O (red). (<b>B</b>) Arrhenius (<b>a</b>) and VFT (<b>b</b>) plots on the temperature dependence of ionic conductivity of liquid electrolytes (Mac with Li salts). The lithium-salt mole fraction was 0.2. The solid lines represent the VFT fitting. Reprinted with permission from Ref. [<a href="#B68-materials-17-05134" class="html-bibr">68</a>]. Copyright 2013, Royal Society of Chemistry.</p>
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<p>(<b>A</b>) Structure of N-methylacetamide (Mac) (<math display="inline"><semantics> <mrow> <mi>C</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> <mi>C</mi> <mi>O</mi> <mi>N</mi> <mi>H</mi> <mi>C</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> </mrow> </semantics></math>) with its volume in <math display="inline"><semantics> <mrow> <msup> <mo>Å</mo> <mn>3</mn> </msup> </mrow> </semantics></math>. C (green), H (white), N (blue), and O (red). (<b>B</b>) Arrhenius (<b>a</b>) and VFT (<b>b</b>) plots on the temperature dependence of ionic conductivity of liquid electrolytes (Mac with Li salts). The lithium-salt mole fraction was 0.2. The solid lines represent the VFT fitting. Reprinted with permission from Ref. [<a href="#B68-materials-17-05134" class="html-bibr">68</a>]. Copyright 2013, Royal Society of Chemistry.</p>
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<p>(<b>A</b>) Arrhenius plot of ionic conductivities measured for Yttria-stabilized Zirconia (YSZ) single crystal (solid electrolyte). MPS is a sample name. (<b>B</b>) (<b>a</b>) Sketch of a series of barriers with one energetically very unfavorable transition state. (<b>b</b>) Sketch of series of barriers with one energetically very favorable ground state. (<b>c</b>) Bimodal barrier distributions with exactly two barrier heights or a broad distribution of heights with two maxima. Reprinted with permission from Ref. [<a href="#B71-materials-17-05134" class="html-bibr">71</a>]. Copyright 2017, Ahamer et al.</p>
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<p>(<b>a</b>) Arrhenius-like plots of ionic conductivities of glass-forming molten salt <math display="inline"><semantics> <mrow> <mi>LiCl</mi> <mo>·</mo> <mn>7</mn> <msub> <mi mathvariant="normal">H</mi> <mn>2</mn> </msub> <mi mathvariant="normal">O</mi> </mrow> </semantics></math> above the glass transition temperature (139 K) for various frequencies of applied electric field. (<b>b</b>) The corresponding plots of ionic conductivities as a function of frequency for various constant temperatures. Reprinted with permission from Ref. [<a href="#B94-materials-17-05134" class="html-bibr">94</a>]. Copyright 1995, Taylor &amp; Francis Ltd.</p>
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<p>Effect of aging on Arrhenius plot of ionic conductivities of polymer electrolyte composed of an acrylonitrile and butyl acrylate copolymer with addition of 91 wt% of <math display="inline"><semantics> <mrow> <mi>LiN</mi> <msub> <mrow> <mfenced> <mrow> <msub> <mrow> <mi>CF</mi> </mrow> <mn>3</mn> </msub> <msub> <mrow> <mi>SO</mi> </mrow> <mn>2</mn> </msub> </mrow> </mfenced> </mrow> <mn>2</mn> </msub> </mrow> </semantics></math> (LiTFSI). The solid lines represent the VFT fitting (for freshly cast film) and the Arrhenius fitting (for samples stored for 275 days). Reprinted with permission from Ref. [<a href="#B95-materials-17-05134" class="html-bibr">95</a>]. Copyright 2015, Elsevier.</p>
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<p>The free volume model.</p>
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<p>(<b>A</b>) The structures of crystalline (<b>a</b>) and amorphous (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Na</mi> </mrow> <mn>2</mn> </msub> <msub> <mrow> <mi>Si</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>5</mn> </msub> </mrow> </semantics></math> (solid electrolyte). (<b>B</b>) The <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> transport in amorphous <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Na</mi> </mrow> <mn>2</mn> </msub> <msub> <mrow> <mi>Si</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>5</mn> </msub> </mrow> </semantics></math> at 873 K for 40 ps by molecular dynamics simulation. The green ball represents <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> in motion. The calculated energy barrier is 0.30 eV which enables fast ionic conduction. (<b>C</b>) The <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> transport in crystalline <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Na</mi> </mrow> <mn>2</mn> </msub> <msub> <mrow> <mi>Si</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>5</mn> </msub> </mrow> </semantics></math> by molecular dynamics simulation. The blue ball is the moving <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math>. The calculated energy barrier is 1.18 eV, which is probably too high for a fast <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> transport. Reprinted with permission from Ref. [<a href="#B104-materials-17-05134" class="html-bibr">104</a>]. Copyright 2015, Royal Society of Chemistry.</p>
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<p>(<b>A</b>) The structures of crystalline (<b>a</b>) and amorphous (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Na</mi> </mrow> <mn>2</mn> </msub> <msub> <mrow> <mi>Si</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>5</mn> </msub> </mrow> </semantics></math> (solid electrolyte). (<b>B</b>) The <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> transport in amorphous <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Na</mi> </mrow> <mn>2</mn> </msub> <msub> <mrow> <mi>Si</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>5</mn> </msub> </mrow> </semantics></math> at 873 K for 40 ps by molecular dynamics simulation. The green ball represents <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> in motion. The calculated energy barrier is 0.30 eV which enables fast ionic conduction. (<b>C</b>) The <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> transport in crystalline <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Na</mi> </mrow> <mn>2</mn> </msub> <msub> <mrow> <mi>Si</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>5</mn> </msub> </mrow> </semantics></math> by molecular dynamics simulation. The blue ball is the moving <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math>. The calculated energy barrier is 1.18 eV, which is probably too high for a fast <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Na</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> transport. Reprinted with permission from Ref. [<a href="#B104-materials-17-05134" class="html-bibr">104</a>]. Copyright 2015, Royal Society of Chemistry.</p>
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<p>(<b>a</b>) Ionic conductivity <math display="inline"><semantics> <mrow> <mi>σ</mi> <mo> </mo> <mfenced> <mrow> <msup> <mrow> <mrow> <mi mathvariant="normal">S</mi> <mo> </mo> <mi>cm</mi> </mrow> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfenced> </mrow> </semantics></math> of crystalline polymer electrolytes <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>PEO</mi> </mrow> <mn>6</mn> </msub> <mo>:</mo> <msub> <mrow> <mi>LiPF</mi> </mrow> <mn>6</mn> </msub> </mrow> </semantics></math> (solid circles), <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>PEO</mi> </mrow> <mn>6</mn> </msub> <mo>:</mo> <msub> <mrow> <mi>LiAsF</mi> </mrow> <mn>6</mn> </msub> <mo> </mo> </mrow> </semantics></math>(squares), <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>PEO</mi> </mrow> <mn>6</mn> </msub> <mo>:</mo> <msub> <mrow> <mi>LiSbF</mi> </mrow> <mn>6</mn> </msub> </mrow> </semantics></math> (triangles), and amorphous <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>PEO</mi> </mrow> <mn>6</mn> </msub> <mo>:</mo> <msub> <mrow> <mi>LiSbF</mi> </mrow> <mn>6</mn> </msub> </mrow> </semantics></math> (open circles). (<b>b</b>) Schematic diffusion pathway of <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Li</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> cations along the polymer tunnel in crystalline <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>PEO</mi> </mrow> <mn>6</mn> </msub> <mo>:</mo> <msub> <mrow> <mi>LiPF</mi> </mrow> <mn>6</mn> </msub> </mrow> </semantics></math>. The blue solid spheres show a <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Li</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> cation in the crystallographic five-coordinate site where the thin lines show the coordination. The meshed blue spheres show a <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>Li</mi> </mrow> <mo>+</mo> </msup> </mrow> </semantics></math> cation in the intermediate four-coordinate site where green and red show carbon and oxygen, respectively. Reprinted with permission from Ref. [<a href="#B51-materials-17-05134" class="html-bibr">51</a>]. Copyright 2003, American Chemical Society.</p>
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<p>(<b>a</b>) Snapshot depicting the unit lattice of an N = 100 isotropic polyelectrolyte network structure in a swollen polyelectrolyte hydrogel by molecular dynamics simulations. Monomers and counterions are denoted by cyan and purple spheres, respectively. Each cross-linking node is attached by six polyelectrolyte chains, each of which has N monomers. (<b>b</b>) Free ions apart from the gel backbone can move faster. Reprinted with permission from Ref. [<a href="#B107-materials-17-05134" class="html-bibr">107</a>]. Copyright 2016, American Chemical Society.</p>
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<p>(<b>A</b>) Photo images of PEO samples subjected to tensile deformation. (<b>B</b>) In-plane and out-of-plane ionic conductivities of PEO electrolyte (soft matter electrolyte) with respect to tensile deformation (in the direction of the red arrow). (<b>a</b>) Out-of-plane ionic conductivity vs. tensile deformation of PEO/Li salt film. (<b>b</b>) Out-of-plane enhancement in ionic conductivity vs. tensile strain. (<b>c</b>) In-plane ionic conductivity vs. tensile deformation. (<b>d</b>) In-plane enhancement in ionic conductivity vs. tensile strain. (<b>C</b>) Depiction of semi-crystalline polymer microstructure at various stages of tensile deformation. Reprinted with permission from Ref. [<a href="#B113-materials-17-05134" class="html-bibr">113</a>]. Copyright 2016, Kelly et al.</p>
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<p>(<b>A</b>) Photo images of PEO samples subjected to tensile deformation. (<b>B</b>) In-plane and out-of-plane ionic conductivities of PEO electrolyte (soft matter electrolyte) with respect to tensile deformation (in the direction of the red arrow). (<b>a</b>) Out-of-plane ionic conductivity vs. tensile deformation of PEO/Li salt film. (<b>b</b>) Out-of-plane enhancement in ionic conductivity vs. tensile strain. (<b>c</b>) In-plane ionic conductivity vs. tensile deformation. (<b>d</b>) In-plane enhancement in ionic conductivity vs. tensile strain. (<b>C</b>) Depiction of semi-crystalline polymer microstructure at various stages of tensile deformation. Reprinted with permission from Ref. [<a href="#B113-materials-17-05134" class="html-bibr">113</a>]. Copyright 2016, Kelly et al.</p>
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<p>AFM height images of equatorial region of a polybutene spherulite (semi-crystalline polymer) for two strain levels 10 and 15%. The void formation (1), the growth (2), and the coalescence (3) of cavities are indicated in the images. Reprinted with permission from Ref. [<a href="#B118-materials-17-05134" class="html-bibr">118</a>]. Copyright 2007, Elsevier.</p>
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<p>(<b>A</b>) SEM images of composite polymer membranes with different molecule sieves: (<b>a</b>) 0.15 g SBA-15 (silica with micro- and narrow mesopores), with rich pores; (<b>b</b>) its cross-section; (<b>c</b>) 0.15 g MCM-41 (another form of silica), without any pores; (<b>d</b>) 0.15 g NaY, without any pores. (<b>B</b>) Arrhenius plots of ionic conductivity for the composite polymer electrolyte (PVdF-HFP/<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>LiPF</mi> </mrow> <mn>6</mn> </msub> </mrow> </semantics></math>) films of (<b>a</b>) 0.15 g SBA-15; (<b>b</b>) 0.15 g MCM-41; (<b>c</b>) 0.15 g NaY. Reprinted with permission from Ref. [<a href="#B114-materials-17-05134" class="html-bibr">114</a>]. Copyright 2006, Elsevier.</p>
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<p>(<b>a</b>) Model of single-crystal solid electrolyte with parallel dislocations. (<b>b</b>) Calculated spatial variation of ionic current density (<math display="inline"><semantics> <mrow> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <msub> <mi>j</mi> <mrow> <mi>d</mi> <mi>i</mi> <mi>s</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>j</mi> <mrow> <mi>o</mi> <mi>t</mi> <mi>h</mi> <mi>e</mi> <mi>r</mi> </mrow> </msub> </mrow> </mfrac> </mstyle> <mo>,</mo> <mrow> <mo> </mo> <mi>where</mi> <mo> </mo> </mrow> <msub> <mi>j</mi> <mrow> <mi>d</mi> <mi>i</mi> <mi>s</mi> </mrow> </msub> <mo> </mo> <mi>and</mi> <mo> </mo> <msub> <mi>j</mi> <mrow> <mi>o</mi> <mi>t</mi> <mi>h</mi> <mi>e</mi> <mi>r</mi> </mrow> </msub> <mrow> <mo> </mo> <mi>is</mi> </mrow> </mrow> </semantics></math> ionic current density along dislocations and in other regions, respectively), as a function of angle (<math display="inline"><semantics> <mi>θ</mi> </semantics></math>) for various dislocation densities (<math display="inline"><semantics> <mrow> <msub> <mi>n</mi> <mi>d</mi> </msub> </mrow> </semantics></math>). (<b>c</b>) Calculated mean ionic conductivity relative to the bulk ionic conductivity (<math display="inline"><semantics> <mrow> <mi>σ</mi> <mo>/</mo> <msub> <mi>σ</mi> <mi>b</mi> </msub> </mrow> </semantics></math>). Reprinted with permission from Ref. [<a href="#B115-materials-17-05134" class="html-bibr">115</a>]. Copyright 2023, IOP Publishing Ltd.</p>
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<p>The results of numerical calculations for probability of fracture (<math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mi>F</mi> </msub> </mrow> </semantics></math>) as a function of dislocation density when the number of microcracks is <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mn>6</mn> </msup> </mrow> </semantics></math> for various values of the characteristic diameter of pre-existing microcracks (<math display="inline"><semantics> <mrow> <msub> <mi>d</mi> <mn>0</mn> </msub> </mrow> </semantics></math>). <math display="inline"><semantics> <mi>R</mi> </semantics></math> is the ratio of the compressive strength to the tensile strength (<math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> is assumed). Reprinted with permission from Ref. [<a href="#B150-materials-17-05134" class="html-bibr">150</a>]. Copyright 2023, IOP Publishing Ltd.</p>
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<p>The results of numerical simulations on the mobile- and immobile-dislocation densities as a function of time during dry pressing of LATP (solid electrolyte) particles with the initial radius of <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mn>0</mn> </msub> <mo>=</mo> <mn>45</mn> <mo> </mo> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">m</mi> </mrow> </mrow> </semantics></math> under the applied pressure of 100 MPa. <span class="html-italic">Ć</span><sub>1</sub> is the parameter related to the multiplication of mobile dislocations (<span class="html-italic">Ć</span><sub>1</sub><math display="inline"><semantics> <mrow> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mn>3</mn> </msup> </mrow> </semantics></math> is assumed). Reprinted with permission from Ref. [<a href="#B148-materials-17-05134" class="html-bibr">148</a>]. Copyright 2024, Yasui et al.</p>
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29 pages, 2243 KiB  
Article
Factors Influencing Water Resource Levels Under the Water Resource Carrying Capacity Framework: A Dynamic Qualitative Comparative Analysis Based on Provincial Panel Data
by Zehua Li, Yanfeng Wu, Zhijun Li, Wenguang Zhang and Yuxiang Yuan
Water 2024, 16(20), 3006; https://doi.org/10.3390/w16203006 - 21 Oct 2024
Viewed by 609
Abstract
Most existing evaluation frameworks for water resource carrying capacity (WRCC) neglect the interdependencies between subsystems. To fill this gap, we introduce a dynamic qualitative comparative analysis (QCA) model to evaluate WRCC and apply it to a vital economic development corridor, the Yangtze River [...] Read more.
Most existing evaluation frameworks for water resource carrying capacity (WRCC) neglect the interdependencies between subsystems. To fill this gap, we introduce a dynamic qualitative comparative analysis (QCA) model to evaluate WRCC and apply it to a vital economic development corridor, the Yangtze River Economic Belt (YREB). Ecological, social, and economic subsystems are defined as condition subsystems, while the water resource subsystem is defined as the outcome subsystem. The entropy weight method is used to calculate and calibrate the comprehensive score of each subsystem. By analyzing the necessity of a single condition subsystem and the sufficiency of condition subsystem configuration via a dynamic QCA, we qualitatively analyze the impact extent and pathways of the ecological, social, and economic subsystems on the water resource subsystem within the WRCC framework. The results reveal generally stable water resource levels despite regional variances, thereby pinpointing the influence pathways, including ecological–social and ecological–economic configurations. The 2011–2015 period saw poor stability, which subsequently improved until 2019 before declining in 2020 in the YREB. The middle-reach urban cluster showed the highest stability, which was less impacted by condition subsystems. These findings could enable provinces and municipalities to tailor policies and enhance subsystem levels for better water resource management. Full article
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<p>Process diagram for dynamic QCA research on the WRCC framework in the Yangtze River Economic Belt.</p>
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<p>The geographical location of the Yangtze River Economic Belt in China.</p>
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<p>The variation trends of Configuration 1 (ecological environment subsystem–social subsystem) and Configuration 2 (ecological environment subsystem–economic subsystem) from 2011 to 2020. This is information is used to understand the changes in the impact of these two configurations on the water resource subsystem in the temporal dimension.</p>
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14 pages, 5623 KiB  
Article
Ultrasonic Guided Wave Health Monitoring of High-Temperature Aircraft Structures Based on Variational Mode Decomposition and Fuzzy Entropy
by Feiting Zhang, Kaifu Zhang, Hui Cheng, Dongyue Gao and Keyi Cai
Actuators 2024, 13(10), 411; https://doi.org/10.3390/act13100411 - 12 Oct 2024
Viewed by 512
Abstract
This paper presents an innovative approach to high-temperature health monitoring of aircraft structures utilizing an ultrasonic guided wave transmission and reception system integrated with a zirconia heat buffer layer. Aiming to address the challenges posed by environmental thermal noise and the installation of [...] Read more.
This paper presents an innovative approach to high-temperature health monitoring of aircraft structures utilizing an ultrasonic guided wave transmission and reception system integrated with a zirconia heat buffer layer. Aiming to address the challenges posed by environmental thermal noise and the installation of heat buffers, which can introduce structural nonlinearities into guided wave signals, a composite guided wave consisting of longitudinal and Lamb waves was proposed for online damage detection within thermal protection systems. To effectively analyze these complex signals, a hybrid damage monitoring technique combining variational mode decomposition (VMD) and fuzzy entropy (FEN) was introduced. The VMD was employed to isolate the principal components of the guided wave signals, while the fuzzy entropy of these components served as a quantitative damage factor, characterizing the extent of the structural damage. Furthermore, this study validated the feasibility of piezoelectric probes equipped with heat buffer layers for both exciting and receiving ultrasonic guided wave signals in a dual heat buffer layer, a one-transmit-one-receive configuration. The experimental results demonstrated the efficacy of the proposed VMD-FEN damage factor for real-time monitoring of damage in aircraft thermal protection systems, both at ambient and elevated temperatures (up to 150 °C), showcasing its potential for enhancing the safety and reliability of aerospace structures operating under extreme thermal conditions. Full article
(This article belongs to the Section Aircraft Actuators)
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<p>Physical diagram of the thermal buffer layer and sensor array. (<b>a</b>) Thermal buffer layer. (<b>b</b>) Sensor array.</p>
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<p>Schematic diagram of the thermal buffer layer sensor system for exciting and receiving composite guided waves.</p>
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<p>Experimental environment and specimen.</p>
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<p>Insulation Effect of Thermal Buffer Layers of Different Sizes.</p>
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<p>Comparison of different temperature signals in each path under excitation frequency 350 kHz. (<b>a</b>) Paths 1−4. (<b>b</b>) Paths 2–5. (<b>c</b>) Paths 3–6.</p>
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<p>Variation trend of the signal energy and signal correlation coefficient damage factors under different damage conditions. (<b>a</b>) Signal Energy. (<b>b</b>) Signal correlation coefficient.</p>
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<p>Decomposition diagram of different components of the VMD signal.</p>
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<p>Time-frequency domain decomposition diagram of different components of the VMD signal.</p>
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<p>The variation trend of the signal fuzzy entropy damage factor with damage expansion.</p>
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<p>Signals change before and after the VMD is executed.</p>
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<p>Signal VMD-fuzzy entropy damage index distribution at different temperatures.</p>
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22 pages, 6763 KiB  
Article
Urban Morphology Classification and Organizational Patterns: A Multidimensional Numerical Analysis of Heping District, Shenyang City
by Shengjun Liu, Jiaxing Zhao, Yijing Chen and Shengzhi Zhang
Buildings 2024, 14(10), 3157; https://doi.org/10.3390/buildings14103157 - 3 Oct 2024
Viewed by 608
Abstract
Prior studies have failed to adequately address intangible characteristics and lacked a comprehensive quantification of cultural dimensions. Additionally, such works have not merged supervised and unsupervised classification methodologies. To address these gaps, this study employed multidimensional numerical techniques for precise spatial pattern recognition [...] Read more.
Prior studies have failed to adequately address intangible characteristics and lacked a comprehensive quantification of cultural dimensions. Additionally, such works have not merged supervised and unsupervised classification methodologies. To address these gaps, this study employed multidimensional numerical techniques for precise spatial pattern recognition and urban morphology classification at the block scale. By examining building density, mean floor numbers, functional compositions, and street block mixed-use intensities, alongside historical and contemporary cultural assets within blocks—with assigned weights and entropy calculations from road networks, building vectors, and POI data—a hierarchical categorization of high, medium, and low groups was established. As a consequence, cluster analysis revealed seven distinctive morphology classifications within the studied area, each with unique spatial configurations and evolutionary tendencies. Key findings include the dominance of high-density, mixed-use blocks in the urban core, the persistence of historical morphologies in certain areas, and the emergence of new, high-rise clusters in recently developed zones. The investigation further elucidated the spatial configurations and evolutionary tendencies of each morphology category. These insights lay the groundwork for forthcoming studies to devise morphology-specific management strategies, thereby advancing towards a more scientifically grounded, rational, and precision-focused approach to urban morphology governance. Full article
(This article belongs to the Section Architectural Design, Urban Science, and Real Estate)
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<p>Study area. (<b>a</b>) Building morphology; (<b>b</b>) profile of the study area; (<b>c</b>) location of the study area (source: authors’ illustration).</p>
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<p>Diagram of block morphology. (<b>a</b>) Low-rise buildings; (<b>b</b>,<b>c</b>) low-rise multi-story buildings; (<b>d</b>,<b>e</b>) high-rise multi-story buildings; (<b>f</b>) high-rise buildings (source: authors’ illustration).</p>
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<p>Morphology classification results in various dimensions. (<b>a</b>) Average number of stories; (<b>b</b>) GSI; (<b>c</b>) functional nature; (<b>d</b>) functional mixing degree; (<b>e</b>) historical cultural resources; (<b>f</b>) modern cultural resources (source: authors’ illustration).</p>
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<p>Morphology classification results in various dimensions. (<b>a</b>) Average number of stories; (<b>b</b>) GSI; (<b>c</b>) functional nature; (<b>d</b>) functional mixing degree; (<b>e</b>) historical cultural resources; (<b>f</b>) modern cultural resources (source: authors’ illustration).</p>
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<p>Variation in the average CH index by cluster number (source: authors’ illustration).</p>
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<p>Characteristics of various morphology types in Heping District (source: authors’ illustration).</p>
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<p>Urban morphology classification results. (<b>a</b>) Distribution of morphology types; (<b>b</b>) distribution of functions across various morphology types; (<b>c</b>) hotspot map of the distribution of functions across various morphology types (source: authors’ illustration).</p>
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17 pages, 4486 KiB  
Article
A Data-Driven Online Prediction Model for Battery Charging Efficiency Accounting for Entropic Heat
by Xiaowei Ding, Weige Zhang, Chenyang Yuan, Chang Ge, Yan Bao, Zhenjia An, Qiang Liu, Zhenpo Wang, Jinkai Shi and Zhihao Wang
Batteries 2024, 10(10), 350; https://doi.org/10.3390/batteries10100350 - 2 Oct 2024
Viewed by 798
Abstract
This study proposes a charging efficiency calculation model based on an equivalent internal resistance framework. A data-driven neural network model is developed to predict the charging efficiency of lithium titanate (LTO) batteries for 5% state of charge (SOC) segments under various charging conditions. [...] Read more.
This study proposes a charging efficiency calculation model based on an equivalent internal resistance framework. A data-driven neural network model is developed to predict the charging efficiency of lithium titanate (LTO) batteries for 5% state of charge (SOC) segments under various charging conditions. By considering the impact of entropy change on the open-circuit voltage (OCV) during the charging process, the accuracy of energy efficiency calculations is improved. Incorporating battery data under various charging conditions, and comparing the predictive accuracy and computational complexity of different hyperparameter configurations, we establish a backpropagation neural network model designed for implementation in embedded systems. The model predicts the energy efficiency of subsequent 5% SOC segments based on the current SOC and operating conditions. The results indicate that the model achieves a prediction error of only 0.29% under unknown charging conditions while also facilitating the deployment of the neural network model in embedded systems. In future applications, the relevant predictive data can be transmitted in real time to the cooling system for thermal generation forecasting and predictive control of battery systems, thereby enhancing temperature control precision and improving cooling system efficiency. Full article
(This article belongs to the Section Battery Modelling, Simulation, Management and Application)
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<p>Structural framework of this study.</p>
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<p>Internal resistance of equivalent circuit model.</p>
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<p>Comparison of OCV-SOC curves before and after OCV correction at (<b>a</b>) 0 °C_0.5 C; (<b>b</b>) 0 °C_1 C; (<b>c</b>) 0 °C_2 C; (<b>d</b>) 0 °C_4 C.</p>
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<p>Comparison of OCV-SOC curves before and after OCV correction at (<b>a</b>) 25 °C_0.5 C; (<b>b</b>) 25 °C_1 C; (<b>c</b>) 25 °C_2 C; (<b>d</b>) 25 °C_4 C.</p>
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<p>Comparison of OCV-SOC curves before and after OCV correction at (<b>a</b>) −20 °C_0.5 C; (<b>b</b>) −20 °C_1 C; (<b>c</b>) −20 °C_2 C; (<b>d</b>) −20 °C_4 C.</p>
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<p>Comparison of efficiency before and after OCV correction at (<b>a</b>) 0 °C_0.5 C; (<b>b</b>) 0 °C_1 C; (<b>c</b>) 0 °C_2 C; (<b>d</b>) 0 °C_4 C.</p>
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<p>Comparison of efficiency before and after OCV correction at (<b>a</b>) 25 °C_0.5 C; (<b>b</b>) 25 °C_1 C; (<b>c</b>) 25 °C_2 C; (<b>d</b>) 25 °C_4 C.</p>
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<p>Comparison of efficiency before and after OCV correction at (<b>a</b>) −20 °C_0.5 C; (<b>b</b>) −20 °C_1 C; (<b>c</b>) −20 °C_2 C; (<b>d</b>) −20 °C_4 C.</p>
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<p>Structure of BP network SOC segment charging efficiency prediction model.</p>
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<p>Hyperparameter optimization space.</p>
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<p>Prediction accuracy score of hyperparameter configuration: (<b>a</b>) random and (<b>b</b>) Nguyen–Widrow.</p>
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<p>Under charging conditions of 0 °C _0.5 C, 0 °C _1 C, and 0 °C _2 C (<b>a</b>) predicted charging segment efficiency of the battery’s SOC based on the optimal neural network hyperparameter configuration; (<b>b</b>) relative error bar chart.</p>
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12 pages, 10278 KiB  
Article
Enhanced Magnetocaloric Properties of the (MnNi)0.6Si0.62(FeCo)0.4Ge0.38 High-Entropy Alloy Obtained by Co Substitution
by Zhigang Zheng, Pengyan Huang, Xinglin Chen, Hongyu Wang, Shan Da, Gang Wang, Zhaoguo Qiu and Dechang Zeng
Entropy 2024, 26(9), 799; https://doi.org/10.3390/e26090799 - 19 Sep 2024
Cited by 1 | Viewed by 710
Abstract
In order to improve the magnetocaloric properties of MnNiSi-based alloys, a new type of high-entropy magnetocaloric alloy was constructed. In this work, Mn0.6Ni1−xSi0.62Fe0.4CoxGe0.38 (x = 0.4, 0.45, and 0.5) are [...] Read more.
In order to improve the magnetocaloric properties of MnNiSi-based alloys, a new type of high-entropy magnetocaloric alloy was constructed. In this work, Mn0.6Ni1−xSi0.62Fe0.4CoxGe0.38 (x = 0.4, 0.45, and 0.5) are found to exhibit magnetostructural first-order phase transitions from high-temperature Ni2In-type phases to low-temperature TiNiSi-type phases so that the alloys can achieve giant magnetocaloric effects. We investigate why chexagonal/ahexagonal (chexa/ahexa) gradually increases upon Co substitution, while phase transition temperature (Ttr) and isothermal magnetic entropy change (ΔSM) tend to gradually decrease. In particular, the x = 0.4 alloy with remarkable magnetocaloric properties is obtained by tuning Co/Ni, which shows a giant entropy change of 48.5 J∙kg−1K−1 at 309 K for 5 T and an adiabatic temperature change (ΔTad) of 8.6 K at 306.5 K. Moreover, the x = 0.55 HEA shows great hardness and compressive strength with values of 552 HV2 and 267 MPa, respectively, indicating that the mechanical properties undergo an effective enhancement. The large ΔSM and ΔTad may enable the MnNiSi-based HEAs to become a potential commercialized magnetocaloric material. Full article
(This article belongs to the Section Multidisciplinary Applications)
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<p>The schematic diagram of the PPMS-based adiabatic temperature change direct measurement device.</p>
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<p>(<b>a</b>) The X-ray diffraction patterns of HEAs with different Co-doping at 295 K. (<b>b</b>) Unit cell parameters <span class="html-italic">c<sub>hex</sub>/a<sub>hex</sub></span> and volume <span class="html-italic">v</span> for Mn<sub>0.6</sub>Ni<sub>1−<span class="html-italic">x</span></sub>Si<sub>0.62</sub>Fe<sub>0.4</sub>Co<span class="html-italic"><sub>x</sub></span>Ge<sub>0.38</sub> (<span class="html-italic">x</span> = 0.4, 0.45, 0.5, 0.55) alloys determined from Rietveld refinements.</p>
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<p>DSC curves during heating process around <span class="html-italic">T<sub>C</sub></span> for HEAs with different Co-doping.</p>
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<p>Thermomagnetic curves of the HEAs with different Co-doping during the heating and cooling process at 0.05 T.</p>
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<p>Isothermal magnetization and demagnetization curves around <span class="html-italic">T<sub>C</sub></span> for (<b>a</b>) <span class="html-italic">x</span> = 0.4, (<b>b</b>) <span class="html-italic">x</span> = 0.45, (<b>c</b>) <span class="html-italic">x</span> = 0.5, (<b>d</b>) <span class="html-italic">x</span> = 0.55. The red arrows indicate magnetization, and the blue arrows indicate demagnetization.</p>
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<p>Three—dimensional surfaces showing −Δ<span class="html-italic">S<sub>M</sub></span> of (<b>a</b>) <span class="html-italic">x</span> = 0.4, (<b>b</b>) <span class="html-italic">x</span> = 0.45, (<b>c</b>) <span class="html-italic">x</span> = 0.5, (<b>d</b>) <span class="html-italic">x</span> = 0.55 under Δ<span class="html-italic">H</span> from 1 T to 5 T. The plots with the contour map in the plane of −Δ<span class="html-italic">S<sub>M</sub></span> are projected from 3D surfaces.</p>
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<p>The thermal hysteresis, −Δ<span class="html-italic">S<sub>M</sub></span> and <span class="html-italic">T<sub>C</sub></span> diagrams of HEAs with different Co-doping.</p>
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<p>Adiabatic temperature curves of <span class="html-italic">x</span> = 0.4 HEA and as a reference Gd under a 5 T magnetic field: (<b>a</b>) PPMS superconducting magnetic field; (<b>b</b>) 4.8 T pulsed magnetic field.</p>
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<p>Scatter-line plots of exponent <span class="html-italic">n</span> with respect to temperatures for Mn<sub>0.6</sub>Ni<sub>1−<span class="html-italic">x</span></sub>Si<sub>0.62</sub>Fe<sub>0.4</sub>Co<span class="html-italic"><sub>x</sub></span>Ge<sub>0.38</sub> (<span class="html-italic">x</span> = 0.4, 0.45, 0.5, 0.55) alloys.</p>
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<p>(<b>a</b>) Vickers hardness of HEAs with different Co-doping and as a reference gadolinium mental. (<b>b</b>) Compressive stress–strain curves of HEAs with different Co-doping.</p>
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19 pages, 3517 KiB  
Article
Flight Schedule Optimization Considering Fine-Grained Configuration of Slot Coordination Parameters
by Jingyi Yu, Minghua Hu, Zheng Zhao and Bin Jiang
Aerospace 2024, 11(9), 763; https://doi.org/10.3390/aerospace11090763 - 17 Sep 2024
Viewed by 649
Abstract
In response to the rapid growth of air passenger and cargo transportation services and the sharp increase in congestion at various airports, it is necessary to optimize the allocation of flight schedules. On the basis of reducing the total airport delay time and [...] Read more.
In response to the rapid growth of air passenger and cargo transportation services and the sharp increase in congestion at various airports, it is necessary to optimize the allocation of flight schedules. On the basis of reducing the total airport delay time and ensuring the total deviation of flight schedules applied by airlines, it is necessary to consider finely configuring flight schedules with slot coordination parameters, introducing a 5 min slot coordination parameter, and optimizing airport flight schedules in different time periods. This article considers factors such as flight schedule uniqueness, corridor flow restrictions, and time adjustment range limitations to establish a three-objective flight-schedule refinement configuration model, which is solved using the NSGA-II algorithm based on the entropy weight method. Taking Beijing Capital International Airport as an example, the optimized results show that the total flight delay was reduced from 4130 min to 1142 min, and the original delay of 389 flights was reduced to 283 flights. Therefore, flight schedule optimization considering the fine-grained configuration of slot coordination parameters can effectively reduce airport delays, fully utilize time resources, and reduce waste of time slot resources. Full article
(This article belongs to the Section Air Traffic and Transportation)
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<p>The Flow of the NSGA-II algorithm.</p>
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<p>Hourly arrival and departure traffic flow.</p>
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<p>Daily equivalent hour.</p>
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<p>The 15 min arrival and departure traffic flow.</p>
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<p>The 5 min arrival and departure traffic flow.</p>
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<p>The variation in each objective function with the number of iterations.</p>
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<p>Pareto diagram.</p>
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<p>Comparison of optimization results for departure peak flights.</p>
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<p>Optimized hourly arrival and departure traffic flow.</p>
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<p>Optimized 15 min arrival and departure traffic flow.</p>
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<p>Optimized 5 min arrival and departure traffic flow.</p>
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<p>Comparison of the number of arrival flights in 5 min time slots in all directions before and after optimization.</p>
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<p>Comparison of the number of departure flights in 5 min time slots in all directions before and after optimization.</p>
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10 pages, 2750 KiB  
Article
Carbon Nanofiber-Encapsulated FeCoNiCuMn Sulfides with Tunable S Doping for Enhanced Oxygen Evolution Reaction
by Yuhan Sun, Chen Shen, Mingran Wang, Yang Cao, Qianwei Wang, Jiayi Rong, Tong He, Duanyang Li and Feng Cao
Catalysts 2024, 14(9), 626; https://doi.org/10.3390/catal14090626 - 17 Sep 2024
Viewed by 695
Abstract
The oxygen evolution reaction (OER) stands out as a key electrochemical process for the conversion of clean energy. However, the practical implementation of OER is frequently impeded by its slow kinetics and the necessity for scarce and expensive noble metal catalysts. High-entropy transition [...] Read more.
The oxygen evolution reaction (OER) stands out as a key electrochemical process for the conversion of clean energy. However, the practical implementation of OER is frequently impeded by its slow kinetics and the necessity for scarce and expensive noble metal catalysts. High-entropy transition metal sulfides (HETMS) stand at the forefront of OER catalysts, renowned for their exceptional catalytic performance and diversity. Herein, we have synthesized a HETMS catalyst, (FeCoNiCuMn50)S2, encapsulated within carbon nanofibers through a one-step process involving the synergistic application of electrospinning and chemical vapor deposition. By precisely controlling the doping levels of sulfur, we have demonstrated that sulfur incorporation significantly increases the exposed surface area of alloy particles on carbon nanofibers and optimizes the electronic configuration of the alloy elements. These findings reveal that sulfur doping is instrumental in the substantial improvement of the catalyst’s OER performance. Notably, the catalyst showed optimal activity at a sulfur-to-metal atom ratio of 2:1, delivering an overpotential of 254 mV at a current density of 10 mA cm−2 in 1.0 M KOH solution. Furthermore, the (FeCoNiCuMn50)S2 catalyst exhibited remarkable electrochemical stability, underscoring its potential as an efficient and robust OER electrocatalyst for sustainable energy applications. Full article
(This article belongs to the Section Catalytic Materials)
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<p>Characterization of high-entropy metal sulfide (FeCoNiCuMn<sub>50</sub>)S<sub>2</sub> nanoparticles. (<b>a</b>) Schematic of the synthesis process; (<b>b</b>) SEM image; (<b>c</b>) TEM image and particle size distribution (inset); (<b>d</b>) HRTEM image and SAED image (inset); (<b>e</b>) STEM and corresponding mapping images; and (<b>f</b>) XRD of (FeCoNiCuMn<sub>50</sub>)S<sub>x</sub>.</p>
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<p>XPS spectra of (<b>a</b>) Fe 2p; (<b>b</b>) Co 2p; (<b>c</b>) Ni 2p; (<b>d</b>) Cu 2p; (<b>e</b>) Mn 2p; and (<b>f</b>) S 2p of np-HETMS (FeCoNiCuMn<sub>50</sub>)S<sub>2</sub> nanoparticles.</p>
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<p>Electrocatalytic performance of different samples. (<b>a</b>) OER polarization curves of different samples. (<b>b</b>) Tafel plots. (<b>c</b>) Nyquist plots for different samples. (<b>d</b>) Capacitive currents as a function of scan rate. (<b>e</b>) Performance diagram of OER electrocatalysts. (<b>f</b>) Stability testing.</p>
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10 pages, 664 KiB  
Article
Exploring the Diversity of Nuclear Density through Information Entropy
by Wei-Hu Ma and Yu-Gang Ma
Entropy 2024, 26(9), 763; https://doi.org/10.3390/e26090763 - 5 Sep 2024
Viewed by 607
Abstract
This study explores the role of information entropy in understanding nuclear density distributions, including both stable configurations and non-traditional structures such as neutron halos and α-clustering. By quantifying the uncertainty and disorder inherent in nucleon distributions in nuclear many-body systems, information entropy [...] Read more.
This study explores the role of information entropy in understanding nuclear density distributions, including both stable configurations and non-traditional structures such as neutron halos and α-clustering. By quantifying the uncertainty and disorder inherent in nucleon distributions in nuclear many-body systems, information entropy provides a macroscopic measure of the physical properties of the system. A more dispersed and disordered density distribution results in a higher value of information entropy. This intrinsic relationship between information entropy and system complexity allows us to quantify uncertainty and disorder in nuclear structures by analyzing various geometric parameters such as nuclear radius, diffuseness, neutron skin, and cluster structural features. Full article
(This article belongs to the Section Multidisciplinary Applications)
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<p>(color online) Information entropy varying as the diffuseness scaling parameter <math display="inline"><semantics> <msub> <mi>n</mi> <mi>a</mi> </msub> </semantics></math> for nuclei <sup>16</sup>O, <sup>40</sup>Ca, <sup>116</sup>Sn, and <sup>208</sup>Pb with Woods–Saxon type density distribution for nucleons.</p>
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<p>(color online) Information entropy varying as neutron skin thickness for nuclei <sup>48</sup>Ca, <sup>132</sup>Sn, <sup>208</sup>Pb, and <sup>218</sup>Pb with Woods–Saxon type density distribution for nucleons.</p>
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<p>(color online) The information entropy for He isotope and Li isotope (<b>left</b>). Correlation of information entropy with neutron skin thickness for He isotope and Li isotope (<b>right</b>).</p>
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<p>(color online) The nuclear potential depth curves for a harmonic oscillator in <sup>16</sup>O with tetrahedral cluster structure (<b>left</b>). The correlation of the information entropy with the cluster dispersion (<b>center</b>). The correlation of the information entropy with the depth of the nuclear potential for a harmonic oscillator (<b>right</b>).</p>
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33 pages, 2291 KiB  
Article
Hardware-Efficient Configurable Ring-Oscillator-Based Physical Unclonable Function/True Random Number Generator Module for Secure Key Management
by Santiago Sánchez-Solano, Luis F. Rojas-Muñoz, Macarena C. Martínez-Rodríguez and Piedad Brox
Sensors 2024, 24(17), 5674; https://doi.org/10.3390/s24175674 - 31 Aug 2024
Viewed by 824
Abstract
The use of physical unclonable functions (PUFs) linked to the manufacturing process of the electronic devices supporting applications that exchange critical data over the Internet has made these elements essential to guarantee the authenticity of said devices, as well as the confidentiality and [...] Read more.
The use of physical unclonable functions (PUFs) linked to the manufacturing process of the electronic devices supporting applications that exchange critical data over the Internet has made these elements essential to guarantee the authenticity of said devices, as well as the confidentiality and integrity of the information they process or transmit. This paper describes the development of a configurable PUF/TRNG module based on ring oscillators (ROs) that takes full advantage of the structure of modern programmable devices offered by Xilinx 7 Series families. The proposed architecture improves the hardware efficiency with two main objectives. On the one hand, we perform an exhaustive statistical characterization of the results derived from the exploitation of RO configurability. On the other hand, we undertake the development of a new version of the module that requires a smaller amount of resources while considerably increasing the number of output bits compared to other proposals previously reported in the literature. The design as a highly parameterized intellectual property (IP) module connectable through a standard interface to a soft- or hard-core general-purpose processor greatly facilitates its integration into embedded solutions while accelerating the validation and characterization of this element on the same electronic device that implements it. The studies carried out reveal adequate values of reliability, uniqueness, and unpredictability when the module acts as a PUF, as well as acceptable levels of randomness and entropy when it acts as a true random number generator (TRNG). They also illustrate the ability to obfuscate and recover identifiers or cryptographic keys of up to 4096 bits using an implementation of the PUF/TRNG module that requires only an array of 4×4 configurable logic blocks (CLBs) to accommodate the RO bank. Full article
(This article belongs to the Collection Cryptography and Security in IoT and Sensor Networks)
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<p>Conventional block diagrams of RO-PUFs whose outputs consist of (<b>a</b>) one bit for each pair of ROs compared [<a href="#B9-sensors-24-05674" class="html-bibr">9</a>] and (<b>b</b>) more than one bit per comparison [<a href="#B30-sensors-24-05674" class="html-bibr">30</a>].</p>
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<p>Configurable delay elements used in different RO-PUFs and implemented from the basic components of the CLBs: (<b>a</b>) Maiti et al. (2011) [<a href="#B33-sensors-24-05674" class="html-bibr">33</a>]. (<b>b</b>) Xin et al. (2011) [<a href="#B34-sensors-24-05674" class="html-bibr">34</a>]. (<b>c</b>) Gao et al. (2014) [<a href="#B35-sensors-24-05674" class="html-bibr">35</a>]. (<b>d</b>) Pei et al. (2018) [<a href="#B36-sensors-24-05674" class="html-bibr">36</a>].</p>
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<p>Programmable Delay Line: (<b>a</b>) Programmable delay inverter introduced in [<a href="#B62-sensors-24-05674" class="html-bibr">62</a>]. (<b>b</b>) 6-input LUT of Xilinx 5, 6, and 7 Series programmable devices.</p>
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<p>Configurable delay elements using logic gates for FPGA and ASIC implementation: (<b>a</b>) Choudhury et al. (2017) [<a href="#B45-sensors-24-05674" class="html-bibr">45</a>], Zhang et al. (2017) [<a href="#B46-sensors-24-05674" class="html-bibr">46</a>], and Liu et al. (2019) [<a href="#B47-sensors-24-05674" class="html-bibr">47</a>]. (<b>b</b>) Chen et al. (2024) [<a href="#B48-sensors-24-05674" class="html-bibr">48</a>]. (<b>c</b>) Wei et al. (2020) [<a href="#B49-sensors-24-05674" class="html-bibr">49</a>]. (<b>d</b>) Deng et al. (2020) [<a href="#B51-sensors-24-05674" class="html-bibr">51</a>]. (<b>e</b>) Rizk et al. (2022) [<a href="#B50-sensors-24-05674" class="html-bibr">50</a>]. (<b>f</b>) Yao et al. (2021) [<a href="#B53-sensors-24-05674" class="html-bibr">53</a>]. (<b>g</b>) Kareem et al. (2024) [<a href="#B54-sensors-24-05674" class="html-bibr">54</a>].</p>
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<p>Configurable delay elements using logic gates for FPGA and ASIC implementation: (<b>a</b>) Choudhury et al. (2017) [<a href="#B45-sensors-24-05674" class="html-bibr">45</a>], Zhang et al. (2017) [<a href="#B46-sensors-24-05674" class="html-bibr">46</a>], and Liu et al. (2019) [<a href="#B47-sensors-24-05674" class="html-bibr">47</a>]. (<b>b</b>) Chen et al. (2024) [<a href="#B48-sensors-24-05674" class="html-bibr">48</a>]. (<b>c</b>) Wei et al. (2020) [<a href="#B49-sensors-24-05674" class="html-bibr">49</a>]. (<b>d</b>) Deng et al. (2020) [<a href="#B51-sensors-24-05674" class="html-bibr">51</a>]. (<b>e</b>) Rizk et al. (2022) [<a href="#B50-sensors-24-05674" class="html-bibr">50</a>]. (<b>f</b>) Yao et al. (2021) [<a href="#B53-sensors-24-05674" class="html-bibr">53</a>]. (<b>g</b>) Kareem et al. (2024) [<a href="#B54-sensors-24-05674" class="html-bibr">54</a>].</p>
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<p>Self-comparison RO-PUFs: (<b>a</b>) Cherif et al. (2012) [<a href="#B55-sensors-24-05674" class="html-bibr">55</a>]. (<b>b</b>) Cui et al. (2016) [<a href="#B56-sensors-24-05674" class="html-bibr">56</a>]. (<b>c</b>) Hu et al. (2022) [<a href="#B58-sensors-24-05674" class="html-bibr">58</a>].</p>
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<p>Configurable RO with two enable signals and eight configuration bits implemented on half of the LUTs available in CLBs of Xilinx 7 Series programmable devices.</p>
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<p>Block diagram of the proposed configurable RO-PUF/TRNG core (blue boxes represent IO signals and buses; green boxes show selectable run-time options).</p>
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<p>Configuration of puf4r5_1.0 in operation (<b>a</b>) and characterization mode (<b>b</b>).</p>
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<p>Test system for statistical characterization of the CRO-based PUF/TRNG: (<b>a</b>) Distribution of 10 instances of the <math display="inline"><semantics> <mrow> <mi>p</mi> <mi>u</mi> <mi>f</mi> <mn>4</mn> <mi>r</mi> <mn>5</mn> <mo>_</mo> <mn>1.0</mn> </mrow> </semantics></math> IP on the programmable logic of the SoC device. (<b>b</b>) Resource consumption of the test system and the different components of the IP module.</p>
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<p>Oscillation frequencies of the ROs for 3 of the 10 instances of the <math display="inline"><semantics> <mrow> <mi>p</mi> <mi>u</mi> <mi>f</mi> <mn>4</mn> <mi>r</mi> <mn>5</mn> <mo>_</mo> <mn>1.0</mn> </mrow> </semantics></math> IP module included in the test system. Each histogram includes the frequencies corresponding to the 256 configurations of the 240 CROs of the IP.</p>
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<p>Stability, probability, and entropy metrics calculated for each bit of the counters (average values for one hundred calls to all PUF/TRNG instances and RO configuration options, with the two types of counters; green boxes point out the most suitable bits to construct the output for PUF functionality).</p>
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<p>Probability of occurrence of 1 s in the output of each of the 2560 samples corresponding to the 256 configurations of the 10 IPs (<b>left</b>) and in each of the 960 output bits of all samples (<b>right</b>).</p>
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<p>Percentage of sequences passing the subset of NIST SP 800-22 tests (values obtained from 2560 samples; green and red entries indicate, respectively, the cases in which the randomness hypothesis is accepted or not).</p>
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<p>HDintra versus percentage of eliminated comparisons (<b>left</b>) and distribution of the average values of HDintra for the 256 configurations of ROs before and after applying the challenge selection mechanism (<b>right</b>).</p>
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<p>Test system to evaluate the performance of the PUF: (<b>a</b>) Distribution of 20 instances of the PUF on the programmable device. (<b>b</b>) Resource consumption of the test system and the different components of the <math display="inline"><semantics> <mrow> <mi>p</mi> <mi>u</mi> <mi>f</mi> <mn>4</mn> <mi>r</mi> <mn>5</mn> <mo>_</mo> <mn>2.0</mn> </mrow> </semantics></math> IP module.</p>
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<p>Stability, probability, and entropy metrics calculated for each bit of the counters (average values for one hundred calls to all PUF/TRNG instances and RO configuration options, with the two types of counters; green boxes point out the most suitable bits to construct the output for PUF functionality).</p>
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<p>Evolution of HDintra versus percentage of eliminated challenges (<b>left</b>) and distribution of HDinter before and after (’) removing 10% of the challenges (<b>right</b>) for the different combinations of run-time options.</p>
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<p>Response time (in ms) versus percentage of comparisons eliminated by the challenge selection mechanisms for 8192-RO PUFs included in test systems with 10-, 12-, and 14-bit counters.</p>
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<p>Comparative table of different configurable RO-PUFs proposed in the literature. Hardware efficiency is given by the number of ROs per CLB and the number of output bits per CLB. The values of uniqueness, reliability and uniformity allow the performance of each proposal to be contrasted. (Maiti_2009 [<a href="#B32-sensors-24-05674" class="html-bibr">32</a>], Maiti_2011 [<a href="#B33-sensors-24-05674" class="html-bibr">33</a>], Xin_2011 [<a href="#B34-sensors-24-05674" class="html-bibr">34</a>], Pei_2018 [<a href="#B36-sensors-24-05674" class="html-bibr">36</a>], Rojas_2023 [<a href="#B28-sensors-24-05674" class="html-bibr">28</a>], Habib_2013 [<a href="#B37-sensors-24-05674" class="html-bibr">37</a>], Zhang_2017b [<a href="#B38-sensors-24-05674" class="html-bibr">38</a>], Anandakumar_2017 [<a href="#B39-sensors-24-05674" class="html-bibr">39</a>], Zhou_2019 [<a href="#B40-sensors-24-05674" class="html-bibr">40</a>], Li_2020 [<a href="#B41-sensors-24-05674" class="html-bibr">41</a>], Anandakumar_2022 [<a href="#B42-sensors-24-05674" class="html-bibr">42</a>], Cook_2023 [<a href="#B43-sensors-24-05674" class="html-bibr">43</a>], Choudhury_2017 [<a href="#B45-sensors-24-05674" class="html-bibr">45</a>], Zhang_2017 [<a href="#B46-sensors-24-05674" class="html-bibr">46</a>], Liu_2019 [<a href="#B47-sensors-24-05674" class="html-bibr">47</a>], Wei_2020 [<a href="#B49-sensors-24-05674" class="html-bibr">49</a>], Rizk_2022 [<a href="#B50-sensors-24-05674" class="html-bibr">50</a>], Sayadi_2023 [<a href="#B52-sensors-24-05674" class="html-bibr">52</a>], Yao_2021 [<a href="#B53-sensors-24-05674" class="html-bibr">53</a>], Kareem_2024 [<a href="#B54-sensors-24-05674" class="html-bibr">54</a>], Cui_2016 [<a href="#B56-sensors-24-05674" class="html-bibr">56</a>], Gan_2018 [<a href="#B57-sensors-24-05674" class="html-bibr">57</a>], Hu_2022 [<a href="#B58-sensors-24-05674" class="html-bibr">58</a>]).</p>
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<p>Secret obfuscation/recovery scheme using the proposed PUF/TRNG module and a repetition-based ECC.</p>
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<p>Reliability in recovering secrets of different lengths, varying the number of comparisons and the ECC repetition factor, for the four combinations of run-time options and 12- and 14-bit counters (data show normalized values from a total of 2000 cases corresponding to 100 recoveries in each of the 20 PUFs in the corresponding test system).</p>
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20 pages, 7057 KiB  
Article
Exploring the Impact of Vertical Access Elements on Visual Richness and Space Quality within Shopping Mall Atriums
by Zahra Hosseini, Mansour Yeganeh and Sahand Jalali
Buildings 2024, 14(9), 2724; https://doi.org/10.3390/buildings14092724 - 30 Aug 2024
Viewed by 647
Abstract
Shopping malls have become vibrant public spaces, serving as commercial centers and sociocultural hubs. However, the arrangement of stationary elements such as elevators and escalators significantly impacts the visual quality of the atrium and the overall navigation experience within the complex. This research [...] Read more.
Shopping malls have become vibrant public spaces, serving as commercial centers and sociocultural hubs. However, the arrangement of stationary elements such as elevators and escalators significantly impacts the visual quality of the atrium and the overall navigation experience within the complex. This research focuses on analyzing the configuration of elevators and escalators in shopping mall atriums and their influence on visual richness and accessibility. Descriptive-analytical and survey methods are employed, utilizing data from 10 successful malls worldwide. The UCL-Depth map software and space syntax variables are used for analysis. Connectivity, clustering-coefficient, and controllability analyses assess visual richness, while integration, mean-depth, entropy, depth, step-depth, and gate-count analyses evaluate accessibility. The research includes a questionnaire to obtain optimal indices for each space syntax variable, enhancing the accuracy of the findings. The results highlight the significant impact of the positioning of vertical access elements within the atrium on its visual richness and the accessibility of shops. The research identifies an optimal configuration: placing the escalator in the middle of the atrium, deviating 30° from the entrance axis, and separately locating the elevators. This configuration provides the highest level of access to shops and the central atrium from any point, minimizing the number of turns required to reach different locations within the mall. Furthermore, the separate placement of elevators improves the flow of individuals between shops and the atrium, resulting in increased integration. In conclusion, selecting an appropriate configuration of elevators and escalators in shopping mall atriums can greatly enhance wayfinding and improve the visual richness and accessibility of the complex. Architects and designers can utilize these findings to optimize the design of public spaces within shopping centers, promoting social interactions and enhancing the overall visitor experience. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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<p>Research process diagram.</p>
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<p>Location and orientation of the elevators and escalators in samples (<b>A</b>–<b>J</b>).</p>
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<p>Outputs of connectivity, stepdepth, Gate Count, Cluster, Control, Entropy, Integration, Mean Depth analysis for patterns (<b>A</b>–<b>J</b>) in Depthmap Software.</p>
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<p>The image processing outputs depict the percentage of visual richness variables in each sample configuration.</p>
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