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18 pages, 2075 KiB  
Article
Multiple-Input Multiple-Output Synthetic Aperture Radar Waveform and Filter Design in the Presence of Uncertain Interference Environment
by Ke Xu, Guohao Sun, Yuandong Ji, Zhiquan Ding and Wenhao Chen
Remote Sens. 2024, 16(23), 4413; https://doi.org/10.3390/rs16234413 - 25 Nov 2024
Abstract
Multiple-input multiple-output synthetic aperture radar (MIMO-SAR) anti-jamming waveform design relies on accurate prior information about the interference. However, it is difficult to obtain accurate prior knowledge about uncertain intermittent sampling repeater jamming (ISRJ), leading to a severe decline in the detection performance of [...] Read more.
Multiple-input multiple-output synthetic aperture radar (MIMO-SAR) anti-jamming waveform design relies on accurate prior information about the interference. However, it is difficult to obtain accurate prior knowledge about uncertain intermittent sampling repeater jamming (ISRJ), leading to a severe decline in the detection performance of MIMO-SAR systems. Therefore, this article studies the robust joint design problem of MIMO radar transmit waveform and filter against uncertain ISRJ. We characterize two categories of uncertain interference, including sample length uncertainty and sample-time uncertainty, modeled as Gaussian distribution in different range bins. Based on the uncertain interference model, we formulate the maximizing SINR as a figure of merit, which is a non-convex quadratic optimization problem under specific waveform constraints. Based on the alternating direction method of multipliers (ADMM) framework, a novel joint design algorithm of waveform and filter is proposed. In order to improve the convergence performance of ADMM, the difference in convex functions (DC) programming is applied to the ADMM iterations framework to solve the problem of waveform energy inequality constraint. Finally, numerical results demonstrate the effectiveness and robustness of the proposed method, compared to the existing methods that utilize deterministic interference models in the uncertain ISRJ environment. Moreover, the spaceborne SAR real scene imaging simulations are conducted to evaluate the anti-ISRJ performance. Full article
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<p>Uncertain store-and-forward schematic. (<b>a</b>) sample-length; (<b>b</b>) sample-time; (<b>c</b>) sample-length and sample-time.</p>
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<p>Schematic representation of the uncertainty in the location of the source of interference.</p>
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<p>Iterative output SINR for ISRJ under sample-length uncertainty environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Comparison of the robustness of different waveforms under sample−length uncertainty environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low−energy waveform design condition.</p>
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<p>Estimation error of different waveforms regarding DOA localization. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Interference spectra under uncertain sample-length environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Iterative output SINR for ISRJ under sample-time uncertainty environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Comparison of the robustness of different waveform under sampling time uncertainties. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Estimation error of different waveform regarding DOA localization. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Interference spectra under uncertainty of sample time. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Imaging results in the presence of uncertain ISRJ. (<b>a</b>) image without uncertain ISRJ suppression; (<b>b</b>) image obtained using waveform of the proposed method.</p>
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<p>Imaging results in the presence of uncertain ISRJ. (<b>a</b>) image without uncertain ISRJ suppression; (<b>b</b>) image obtained using waveform of the proposed method.</p>
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17 pages, 8166 KiB  
Article
Experimental Research on the Correction of Vortex Light Wavefront Distortion
by Yahang Ge and Xizheng Ke
Photonics 2024, 11(12), 1116; https://doi.org/10.3390/photonics11121116 - 25 Nov 2024
Abstract
Wavefront distortion occurs when vortex beams are transmitted in the atmosphere. The turbulence effect greatly affects the transmission of information, so it is necessary to use adaptive optical correction technology to correct the wavefront distortion of the vortex beam at the receiving end. [...] Read more.
Wavefront distortion occurs when vortex beams are transmitted in the atmosphere. The turbulence effect greatly affects the transmission of information, so it is necessary to use adaptive optical correction technology to correct the wavefront distortion of the vortex beam at the receiving end. In this paper, a method of vortex wavefront distortion correction based on the deep deterministic policy gradient algorithm is proposed; this is a new correction method that can effectively handle high-dimensional state and action spaces and is especially suitable for correction problems in continuous action spaces. The entire system uses adaptive wavefront correction technology without a wavefront sensor. The simulation results show that the deep deterministic policy gradient algorithm can effectively correct the distorted vortex beams and improve the mode purity, and the intensity correlation coefficient of single-mode vortex light can be increased to about 0.88 and 0.69, respectively, under weak turbulence and strong turbulence, and the intensity coefficient of weak-turbulence multi-mode vortex light can be increased to about 0.96. The experimental results also show that the adaptive correction technology based on the deep deterministic policy gradient algorithm can effectively correct the wavefront distortion of vortex light. Full article
(This article belongs to the Section Optical Communication and Network)
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<p>Adaptive optics system correction schematic diagram.</p>
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<p>Schematic diagram of the deformation mirror correction principle.</p>
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<p>DDPG algorithm flowchart framework diagram.</p>
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<p>DDPG algorithm calibration schematic.</p>
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<p>DDPG algorithm correction vortex-beam-specific flowchart.</p>
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<p>The correlation coefficient of single-mode light intensity changes with the number of iterations under weak turbulence.</p>
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<p>The spot of the single-mode LG beam before and after correction with weak distortion.</p>
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<p>Spiral spectrum distribution diagram of a single-mode LG beam before and after correction under weak distortion.</p>
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<p>The correlation coefficient of single-mode light intensity changes with the number of iterations under strong turbulence.</p>
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<p>The spot of the single-mode LG beam before and after correction with strong distortion.</p>
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<p>Spiral spectrum distribution diagram of a single-mode LG beam before and after correction under strong distortion.</p>
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<p>The correlation coefficient of multi-mode light intensity changes with the number of iterations under weak turbulence.</p>
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<p>The spot diagrams of the multi-mode LG beam before and after correction under weak astigmatism.</p>
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<p>Spiral spectrum distribution diagram of a multi-mode LG beam before and after correction under weak distortion.</p>
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<p>Experimental set up.</p>
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<p>The physical map of deformation mirror.</p>
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<p>Distribution of light intensity in various order vortex beams before and after correction. (<b>a1</b>–<b>a3</b>) Before turbulence; (<b>b1</b>–<b>b3</b>) after turbulence; (<b>c1</b>–<b>c3</b>) after correction.</p>
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<p>Correlation coefficient of light intensity with the number of iterations.</p>
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<p>The spiral spectral distribution maps of vortex beams of different orders before and after correction. (<b>a1</b>–<b>a3</b>) The spiral spectral distribution maps of single-mode vortex beams with topological charge <span class="html-italic">l</span> = 1 before and after correction in weak turbulence. (<b>b1</b>–<b>b3</b>) The spiral spectral distribution maps of single-mode vortex beams with topological charge <span class="html-italic">l</span> = 1 before and after correction in strong turbulence. (<b>c1</b>–<b>c3</b>) The spiral spectral distribution maps of multi-mode vortex beams with topological charges <span class="html-italic">l</span> = 1,−2 before and after correction in weak turbulence.</p>
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22 pages, 5934 KiB  
Article
Estimation of the Immunity of an AC/DC Converter of an LED Lamp to a Standardized Electromagnetic Surge
by Wiesław Sabat, Dariusz Klepacki, Kazimierz Kamuda, Kazimierz Kuryło and Piotr Jankowski-Mihułowicz
Electronics 2024, 13(23), 4607; https://doi.org/10.3390/electronics13234607 - 22 Nov 2024
Viewed by 267
Abstract
The method for estimating the immunity of an AC/DC converter built in a commercial LED lamp to a 1.2/50 µs (8/20 µs) surge has been presented in this paper. A lamp with a direct drive LED inverter was selected to present the methodology [...] Read more.
The method for estimating the immunity of an AC/DC converter built in a commercial LED lamp to a 1.2/50 µs (8/20 µs) surge has been presented in this paper. A lamp with a direct drive LED inverter was selected to present the methodology for determining the coefficient of immunity of the test object to a standardized type of surge. The choice of this configuration was important for the testing process and presentation of the methodology to estimate the immunity coefficient of the tested system. In this work, the methodology for determining the deterministic immunity factor of the model inverter to a normalized type of disturbance was presented. Considerations were carried out for a 1.2/50 µs (8/20 µs) surge in accordance with the recommendations of the EN 61000-4-5:2014 standard. This conventional surge is used in laboratory practice to test the immunity of electronic and electrical systems and devices to disturbances that can be generated in the power grid during switching processes, short circuits, and direct and indirect lightning. In the first stage of testing on test benches, the intensity of damage to the integral components of a model inverter was examined with increasing levels of disturbance. Statistical measures characterizing their impact resistance were determined for each of the elements tested. Knowing their values, the value of this coefficient was finally determined for the lamp selected for testing, and the mechanism of its damage was analyzed. Full article
(This article belongs to the Special Issue New Horizons and Recent Advances of Power Electronics)
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<p>View and diagram of the AC/DC converter of the model LED lamp.</p>
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<p>The photos of the adapters used for mounting components during surge exposure: (<b>a</b>) SMD components, (<b>b</b>) Graetz bridge and controller, and (<b>c</b>) THT components.</p>
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<p>Configuration of test circuits for measuring the shock resistance of components at 1.2/50 µs/(8/20 µs): (<b>a</b>) resistors from R<sub>1</sub> to R<sub>4</sub>, (<b>b</b>) capacitor C<sub>1</sub>, (<b>c</b>) LEDs, (<b>d</b>) rectifier bridge IC1, and (<b>e</b>) driver IC2.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates (<b>a</b>), and the waveform of the theoretical distribution and immunity function for resistor R<sub>1</sub> (<b>b</b>).</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for the resistor R<sub>2</sub>.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for the resistor R<sub>3</sub>.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for the resistor R<sub>4</sub>.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for the capacitor C<sub>1</sub>.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for Greatz bridge IC1.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for the IC2 controller.</p>
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<p>The course of the empirical distribution in Laplace-regular grid coordinates for an array of 16 serially connected LEDs.</p>
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<p>Configuration of the test system for the analysis of the surge propagation process in the model inverter system with marked points of analysis of current and voltage waveforms (<b>a</b>), and surge flow path 1.2/50 μs (<b>b</b>).</p>
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<p>Voltage and current waveforms recorded at the measurement points marked in <a href="#electronics-13-04607-f012" class="html-fig">Figure 12</a> when a 1.2/50 μs (8/20 μs) surge of 0.5 kV was injected: injection moment in input circuits (<b>a</b>), voltage on IC2 pin 1 and C<sub>1</sub> current (<b>b</b>), D8-D16 diodes voltage and current (<b>c</b>), IC2 voltages (<b>d</b>).</p>
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<p>Immunity functions R(z) for inverter components.</p>
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<p>Immunity functions R*(z) for the elements modelling the immunity of the LED lamp under study.</p>
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<p>Test setup for testing the immunity of LED lamps to a 1.2/50 µs (8/20 µs) surge.</p>
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21 pages, 3800 KiB  
Article
Optimization of Parameters of a Vertical Ground Heat Exchanger in a Geothermal Heating System
by Walery Jezierski and Piotr Rynkowski
Buildings 2024, 14(12), 3722; https://doi.org/10.3390/buildings14123722 - 22 Nov 2024
Viewed by 267
Abstract
This study presents the results of an original study on the influence of selected parameters on the thermal efficiency of a vertical ground heat exchanger (VGHE) in a ground-source heat pump (GSHP) system. The research objective was an analysis of the specific thermal [...] Read more.
This study presents the results of an original study on the influence of selected parameters on the thermal efficiency of a vertical ground heat exchanger (VGHE) in a ground-source heat pump (GSHP) system. The research objective was an analysis of the specific thermal efficiency of a vertical ground heat exchanger q, received by a U-shaped element made of plastic pipes placed in a borehole, depending on seven direct influencing factors: the ground temperature Tg; the soil thermal conductivity coefficient λg; the thermal conductivity coefficient of the well material λm; the temperature of the heating medium (glycol) Tw at the feed to the ground heat exchanger and its flow rate M; the internal diameter of the pipes of the ground heat exchanger dw; and the distances between the external walls of the pipes of the ground heat exchanger L. The analysis was carried out for the climatic conditions of the Podlasie Voivodeship (Poland). Based on the results of the computational experiment obtained using the TRNSYS numerical environment, a deterministic mathematical model of this relationship was developed, and the effects of the influence of selected factors on the specific thermal efficiency q of the vertical ground heat exchanger, received by the U-shaped element, were analysed. Based on the model, the contribution of each parameter to the efficiency of the heat exchanger was determined. It turned out that changes in the values of the factors Tg (X1), λg (X2), λm (X3), M (X5), dw (X6) and L (X7) from the lower to the upper level caused an increase in the specific efficiency q of the heat exchanger by 34.04, 7.90, 15.20, 55.42, 6.58 and 24.26%. Only factor Tw (X4), with such a change, caused a decrease in the thermal efficiency of the tested heat exchanger by 44.22%. The parameters of the tested element of the geothermal heating system were also optimized according to the energy criterion using a numerical method in the Matlab environment. The information may be useful for scientists, designers, producers and consumers of heating systems based on heat pumps with a vertical ground heat exchanger as the lower heat source. Full article
(This article belongs to the Special Issue The State-of-the-Art Technologies for Zero-Energy Buildings)
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<p>Vertical ground-source heat exchangers.</p>
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<p>The cross-sectional geometry of the pipe position for three different distances between the outer walls. (<b>a</b>): the distance between the pipes is 150 mm. (<b>b</b>): the distance between the pipes is 75 mm. (<b>c</b>): pipes located close to each other.</p>
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<p>Undisturbed temperature field for each month of the year.</p>
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<p>System model with VGHE in TRNSYS environment.</p>
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<p>Temperature values of the heating medium and the heat flux transmitted from VGHE to the system within a year. (<b>a</b>) Simulation no. 2—maximum unit power of VGHE; (<b>b</b>) simulation no. 37; (<b>c</b>) simulation no. 8—minimum unit power of VGHE; (<b>d</b>) simulation no. 40.</p>
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<p>The ordered values of the unit thermal efficiency of the ground heat exchanger for each simulation.</p>
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<p>Box graph of the entire representation of the results of the analyzed model for the adopted parameters. Red dots indicate the arithmetic mean of the simulation results. Black dots show simulation results.</p>
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<p>Dependence of q on factors characterizing soil properties: <span class="html-italic">T</span><sub>g</sub> (<span class="html-italic">X</span><sub>1</sub>) soil temperature, °C and <span class="html-italic">λ</span><sub>g</sub> (<span class="html-italic">X</span><sub>2</sub>) ground heat conduction coefficient, W/(mK) (other factors were taken at the average level).</p>
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<p>Dependence of <span class="html-italic">q</span> on factors: heating medium (glycol) temperature at the inlet <span class="html-italic">T</span><sub>w</sub> (<span class="html-italic">X</span><sub>4</sub>), °C and flow rate of heating medium (glycol) <span class="html-italic">M</span>(<span class="html-italic">X</span><sub>5</sub>), kg/s (other factors were taken at the average level).</p>
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16 pages, 9667 KiB  
Article
Development of a Conceptual Scheme for Controlling Tool Wear During Cutting, Based on the Interaction of Virtual Models of a Digital Twin and a Vibration Monitoring System
by Lapshin Viktor, Turkin Ilya, Gvindzhiliya Valeriya, Dudinov Ilya and Gamaleev Denis
Sensors 2024, 24(22), 7403; https://doi.org/10.3390/s24227403 - 20 Nov 2024
Viewed by 286
Abstract
This article discusses the issue of the joint use of neural network algorithms for data processing and deterministic mathematical models. The use of a new approach is proposed, to determine the discrepancy between data from a vibration monitoring system of the cutting process [...] Read more.
This article discusses the issue of the joint use of neural network algorithms for data processing and deterministic mathematical models. The use of a new approach is proposed, to determine the discrepancy between data from a vibration monitoring system of the cutting process and the calculated data obtained by modeling mathematical models of the digital twin system of the cutting process. This approach is justified by the fact that some coordinates for the state of the cutting process cannot be measured, and the vibration signals measured by the vibration monitoring system (the vibration acceleration of the tip of the cutting tool) are subject to external disturbing influences. Both the experimental method and the Matlab 2022b simulation method were used as research methods. The experimental research method is based on the widespread use of modern analog vibration transducers, the signals from which undergo the process of digitalization and further processing in order to identify arrays of additional information required for virtual digital twin models. The results obtained allow us to formulate a new conceptual approach to the construction of systems for determining the degree of cutting tool wear, based on the joint use of computational virtual models of the digital twin system and data obtained from the vibration monitoring system of the cutting process. Full article
(This article belongs to the Section Physical Sensors)
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<p>(<b>a</b>) Diagram of reaction forces and deformation axes, (<b>b</b>) directions of action forces, (<b>c</b>) main and auxiliary angles in the plan, (<b>d</b>) angle on the back surface.</p>
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<p>Vibration monitoring system on 1K625 machine, (<b>a</b>,<b>b</b>)—industrial accelerometers, (<b>c</b>)—amplifier converter and ADC.</p>
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<p>A promising intelligent vibration monitoring system.</p>
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<p>Vibrations of the cutting tool in the x-axis direction.</p>
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<p>Vibrations of the cutting tool in the direction of the y-axis.</p>
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<p>Vibrations of the cutting tool in the direction of the z-axis.</p>
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<p>The wear curve.</p>
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<p>The appearance of the microscope (<b>a</b>), and one of the photographs obtained on it (<b>b</b>).</p>
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<p>Measured wear curve of the cutting tool.</p>
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<p>Example of calculating the average maxima of amplitude oscillations.</p>
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<p>Results of calculation of entropy indicators.</p>
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24 pages, 2012 KiB  
Review
Key Role and Optimization Dispatch Research of Technical Virtual Power Plants in the New Energy Era
by Weigang Jin, Peihua Wang and Jiaxin Yuan
Energies 2024, 17(22), 5796; https://doi.org/10.3390/en17225796 - 20 Nov 2024
Viewed by 269
Abstract
This comprehensive review examines the key role and optimization dispatch of Technical Virtual Power Plants (TVPPs) in the new energy era. This study provides an overview of Virtual Power Plants (VPPs), including their definition, development history, and classification into Technical and Commercial VPPs. [...] Read more.
This comprehensive review examines the key role and optimization dispatch of Technical Virtual Power Plants (TVPPs) in the new energy era. This study provides an overview of Virtual Power Plants (VPPs), including their definition, development history, and classification into Technical and Commercial VPPs. It then systematically analyzes optimization methods for TVPPs from five aspects: deterministic optimization, stochastic optimization, robust optimization, and bidding-integrated optimization. For each method, this review presents its mathematical models and solution algorithms. This review highlights the significance of TVPPs in enhancing power system flexibility, improving renewable energy integration, and providing ancillary services. Through methodological classification and comparative analysis, this review aims to provide valuable insights for the design, operation, and management of TVPPs in future power systems. Full article
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<p>A framework of virtual power plant structure and operation methods.</p>
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<p>Geometric representation of stochastic optimization convergence.</p>
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<p>Adaptive robust optimization framework: a systematic decomposition approach for real-time decision making.</p>
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<p>Virtual Power Plant deterministic optimization framework.</p>
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<p>Virtual Power Plant deterministic bidding strategy framework.</p>
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28 pages, 2533 KiB  
Article
Multiphysics Modeling of Power Transmission Line Failures Across Four US States
by Prakash KC, Maryam Naghibolhosseini and Mohsen Zayernouri
Modelling 2024, 5(4), 1745-1772; https://doi.org/10.3390/modelling5040091 - 20 Nov 2024
Viewed by 327
Abstract
The failure of overhead transmission lines in the United States can lead to significant economic losses and widespread blackouts, affecting the lives of millions. This study focuses on analyzing the failure of transmission lines, specifically considering the effects of wind, ambient temperature, and [...] Read more.
The failure of overhead transmission lines in the United States can lead to significant economic losses and widespread blackouts, affecting the lives of millions. This study focuses on analyzing the failure of transmission lines, specifically considering the effects of wind, ambient temperature, and current demands, incorporating minimal and significant pre-existing damage. We propose a multiphysics framework to analyze the transmission line failures across sensitive and affected states of the United States, integrating historical data on wind and ambient temperature. By combining numerical simulation with historical data analysis, our research assesses the impact of varying environmental conditions on the reliability of transmission lines. Our methodology begins with a deterministic approach to model temperature and damage evolution, using phase-field modeling for fatigue and damage coupled with electrical and thermal models. Later, we adopt the probability collocation method to investigate the stochastic behavior of the system, enhancing our understanding of uncertainties in model parameters, conducting sensitivity analysis to identify the most significant model parameters, and estimating the probability of failures over time. This approach allows for a comprehensive analysis of factors affecting transmission line reliability, contributing valuable insights into improving power line’s resilience against environmental conditions. Full article
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<p>Schematic representation of transmission lines.</p>
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<p>One-dimensional representation of transmission line.</p>
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<p>Values of <math display="inline"><semantics> <msub> <mi>C</mi> <mi>D</mi> </msub> </semantics></math> for different <math display="inline"><semantics> <mrow> <mi>R</mi> <msub> <mi>e</mi> <mi>D</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Wind and temperature data for Texas. (<b>a</b>) Original wind data. (<b>b</b>) Transformed wind data. (<b>c</b>) Original temperature data. (<b>d</b>) Transformed temperature data.</p>
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<p>Wind and temperature data for California. (<b>a</b>) Original wind data. (<b>b</b>) Transformed wind data. (<b>c</b>) Original temperature data. (<b>d</b>) Transformed temperature data.</p>
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<p>Wind and temperature data for Michigan. (<b>a</b>) Original wind data. (<b>b</b>) Transformed wind data. (<b>c</b>) Original temperature data. (<b>d</b>) Transformed temperature data.</p>
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<p>Wind and temperature data for Florida. (<b>a</b>) Original wind data. (<b>b</b>) Transformed wind data. (<b>c</b>) Original temperature data. (<b>d</b>) Transformed temperature data.</p>
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<p>Schematic diagram illustrating the interconnection between four different aspects of the multiphysics framework.</p>
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<p>Variable cross-section areas for different values of <math display="inline"><semantics> <msub> <mi>A</mi> <mi>σ</mi> </msub> </semantics></math>.</p>
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<p>Evolution of field variables. (<b>a</b>) Damage evolution along the line. (<b>b</b>) Fatigue evolution along the line. (<b>c</b>) Temperature evolution along the line. (<b>d</b>) Voltage drops along the line.</p>
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<p>Effect of initial damage on maximum field values over time. (<b>a</b>) Maximum damage. (<b>b</b>) Maximum fatigue. (<b>c</b>) Maximum Temperature. (<b>d</b>) Maximum voltage drop.</p>
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<p>The failure of transmission lines for different values of initial damage. (<b>a</b>) Texas. (<b>b</b>) California. (<b>c</b>) Michigan. (<b>d</b>) Florida.</p>
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<p>Expected temperature and standard deviation of temperature under the material parametric space <math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>m</mi> </msub> <mrow> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> in the Texas scenario. (<b>a</b>) Expected temperature. (<b>b</b>) Temperature standard deviation.</p>
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<p>Expected maximum temperature and standard deviation of maximum temperature under material parametric space <math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>m</mi> </msub> <mrow> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> in the Texas scenario. (<b>a</b>) Maximum expected temperature. (<b>b</b>) Standard deviation of maximum temperature.</p>
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<p>Expected maximum temperature and standard deviation of maximum temperature under the parametric space <math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>l</mi> </msub> <mrow> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> in the Texas scenario. (<b>a</b>) Maximum expected temperature. (<b>b</b>) Standard deviation of maximum temperature.</p>
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<p>Sensitivity index <math display="inline"><semantics> <msub> <mi>S</mi> <mi>i</mi> </msub> </semantics></math> for the Texas scenario for material parameters, <math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>m</mi> </msub> <mrow> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, and loading parameters, <math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>l</mi> </msub> <mrow> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>. (<b>a</b>) Material parameters. (<b>b</b>) External loading.</p>
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<p>Expected maximum temperature, standard deviation of maximum temperature, and sensitivity index over time under parametric space <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </semantics></math> in the Texas scenario. (<b>a</b>) Maximum expected temperature. (<b>b</b>) Standard deviation of maximum temperature. (<b>c</b>) Sensitivity index.</p>
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<p>Expected maximum temperature, standard deviation of maximum temperature, and sensitivity index over time under parametric space <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </semantics></math> in the California scenario. (<b>a</b>) Maximum expected temperature. (<b>b</b>) Standard deviation of maximum temperature. (<b>c</b>) Sensitivity index.</p>
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<p>Expected maximum temperature, standard deviation of maximum temperature, and sensitivity index over time under parametric space <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </semantics></math> in the Michigan scenario. (<b>a</b>) Maximum expected temperature. (<b>b</b>) Standard deviation of maximum temperature. (<b>c</b>) Sensitivity index.</p>
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<p>Expected maximum temperature, standard deviation of maximum temperature, and sensitivity index over time under parametric space <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </semantics></math> in the Florida scenario. (<b>a</b>) Maximum expected temperature. (<b>b</b>) Standard deviation of maximum temperature. (<b>c</b>) Sensitivity index.</p>
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<p>Probability of failure for Texas, California, Michigan, and Florida.</p>
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<p>The probability of failure of transmission lines for different values of initial damage (shown in legends). (<b>a</b>) Texas. (<b>b</b>) California. (<b>c</b>) Michigan. (<b>d</b>) Florida.</p>
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<p>The probability of failure of transmission lines for different values of initial damage (shown in legends). (<b>a</b>) Texas. (<b>b</b>) California. (<b>c</b>) Michigan. (<b>d</b>) Florida.</p>
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<p>Error estimation using PCM and MC method plots (<b>a</b>) PCM; (<b>b</b>) MC.</p>
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19 pages, 6037 KiB  
Article
Dual Clustering-Based Method for Geospatial Knowledge Graph Partitioning
by Yuxuan Chen, Feifei Ou, Qiliang Liu, Gusheng Wu, Kaiqi Chen, Min Deng, Meihua Chen and Rui Xu
Appl. Sci. 2024, 14(22), 10704; https://doi.org/10.3390/app142210704 - 19 Nov 2024
Viewed by 358
Abstract
Geospatial knowledge graphs provide critical technology for integrating geographic information and semantic knowledge, which are very useful for geographic data analysis. As the scale of geospatial knowledge graphs continues to grow, the distributed management of geospatial knowledge graphs is becoming an inevitable requirement. [...] Read more.
Geospatial knowledge graphs provide critical technology for integrating geographic information and semantic knowledge, which are very useful for geographic data analysis. As the scale of geospatial knowledge graphs continues to grow, the distributed management of geospatial knowledge graphs is becoming an inevitable requirement. Geospatial knowledge graph partitioning is the core technology for the distributed management of geospatial knowledge graphs. To support geographic data analysis, spatial relationships between entities should be considered in the application of geospatial knowledge graphs. However, existing knowledge graph partitioning methods overlook the spatial relationships between entities, resulting in the low efficiency of spatial queries. To address this issue, this study proposes a geospatial knowledge graph partitioning method based on dual clustering which performs two different clustering methods step by step. First, the density peak clustering method (DPC) is used to cluster geographic nodes. The nodes within each cluster are merged into a super-node. Then, we use an efficient graph clustering method (i.e., Leiden) to identify the community structure of the graph. Nodes belonging to the same community are further merged to reduce the size of the graph. Finally, partitioning operations are performed on the compressed graph based on the idea of the Linear-Weighted Deterministic Greedy Policy (LDG). We construct a geospatial knowledge graph based on YAGO3 to evaluate the performance of the proposed graph partitioning method. The experimental results show that the proposed method outperforms ten comparison methods in terms of graph partitioning quality and spatial query efficiency. Full article
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<p>Comparison of partitioning methods when ignoring and considering spatial information.</p>
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<p>Flowchart of GKGP-DC.</p>
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<p>Decision diagram of DPC.</p>
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<p>Node agglomeration based on DPC.</p>
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<p>Graph structure discovery.</p>
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<p>Super-node partitioning based on LDG.</p>
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<p>Part of GeoKG.</p>
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<p>Distribution of geographic entities.</p>
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<p>Four types of graph query.</p>
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<p>The number of computational nodes for different queries (unit: count).</p>
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<p>Response time of withinDistance–graph coupled query (unit: seconds).</p>
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<p>Response time of buffer–graph coupled query (unit: seconds).</p>
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<p>Response time of buffer–graph coupled query (unit: seconds).</p>
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<p>Response time of intersect–graph coupled query (unit: seconds).</p>
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16 pages, 3100 KiB  
Article
Efficient Robot Manipulation via Reinforcement Learning with Dynamic Movement Primitives-Based Policy
by Shangde Li, Wenjun Huang, Chenyang Miao, Kun Xu, Yidong Chen, Tianfu Sun and Yunduan Cui
Appl. Sci. 2024, 14(22), 10665; https://doi.org/10.3390/app142210665 - 18 Nov 2024
Viewed by 499
Abstract
Reinforcement learning (RL) that autonomously explores optimal control policies has become a crucial direction for developing intelligent robots while Dynamic Movement Primitives (DMPs) serve as a powerful tool for efficiently expressing robot trajectories. This article explores an efficient integration of RL and DMP [...] Read more.
Reinforcement learning (RL) that autonomously explores optimal control policies has become a crucial direction for developing intelligent robots while Dynamic Movement Primitives (DMPs) serve as a powerful tool for efficiently expressing robot trajectories. This article explores an efficient integration of RL and DMP to enhance the learning efficiency and control performance of reinforcement learning in robot manipulation tasks by focusing on the forms of control actions and their smoothness. A novel approach, DDPG-DMP, is proposed to address the efficiency and feasibility issues in the current RL approaches that employ DMP to generate control actions. The proposed method naturally integrates a DMP-based policy into the actor–critic framework of the traditional RL approach Deep Deterministic Policy Gradient (DDPG) and derives the corresponding update formulas to learn the networks that properly decide the parameters of DMPs. A novel inverse controller is further introduced to adaptively learn the translation from observed states into various robot control signals through DMPs, eliminating the requirement for human prior knowledge. Evaluated on five robot arm control benchmark tasks, DDPG-DMP demonstrates significant advantages in control performance, learning efficiency, and smoothness of robot actions compared to related baselines, highlighting its potential in complex robot control applications. Full article
(This article belongs to the Special Issue Intelligent Robotics in the Era of Industry 5.0)
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<p>Principle and workflow of related work on NDP.</p>
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<p>Principle and workflow of the proposed method DDPG-DMP.</p>
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<p>Learning curves over three OpenAI robot arm scenarios. Curves are uniformly smoothed for visual clarity. The shaded region represents the corresponding standard deviation.</p>
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<p>Learning curves over two Panda robot arm simulation scenarios. Curves are uniformly smoothed for visual clarity. The shaded region represents the corresponding standard deviation.</p>
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<p>Screenshots of robot arm in the Pusher-v0 task using trained DDPG-DMP and DDPG agents during one complete rollout. The subfigures indicate the robot’s state at steps <math display="inline"><semantics> <mrow> <mn>0</mn> <mo>,</mo> <mo> </mo> <mn>25</mn> <mo>,</mo> <mo> </mo> <mn>50</mn> <mo>,</mo> <mo> </mo> <mn>75</mn> </mrow> </semantics></math>, and 100 from left to right.</p>
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<p>Trajectories of angle position and angle velocity of joints wrist3, wrist4, and wrist5 in one complete rollout using trained DDPG and proposed DDPG-DMP agents.</p>
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<p>Trajectories of seven joints’ angle position on the simulated Panda robot arm in the PandaReachJoints-v2 task during one complete rollout using trained SAC, TD3, and proposed DDPG-DMP agents.</p>
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13 pages, 1489 KiB  
Article
Stability and Bifurcation Analysis for the Transmission Dynamics of Skin Sores with Time Delay
by Yanan Wang and Tiansi Zhang
Axioms 2024, 13(11), 798; https://doi.org/10.3390/axioms13110798 - 18 Nov 2024
Viewed by 256
Abstract
Impetigo is a highly contagious skin infection that primarily affects children and communities in low-income regions and has become a significant public health issue impacting both individuals and healthcare systems. A nonlinear deterministic model based on the transmission dynamics of skin sores (impetigo) [...] Read more.
Impetigo is a highly contagious skin infection that primarily affects children and communities in low-income regions and has become a significant public health issue impacting both individuals and healthcare systems. A nonlinear deterministic model based on the transmission dynamics of skin sores (impetigo) is developed with a specific emphasis on the time delay effects in the infection and recovery processes. To address this complexity, we introduce a delay differential equation (DDE) to describe the dynamic process. We analyzed the existence of Hopf bifurcations associated with the two equilibrium points and examined the mechanisms underlying the occurrence of these bifurcations as delays exceeded certain critical values. To obtain more comprehensive insights into this phenomenon, we applied the center manifold theory and the normal form method to determine the direction and stability of Hopf bifurcations near bifurcation curves. This research not only offers a novel theoretical perspective on the transmission of impetigo but also lays a significant mathematical foundation for developing clinical intervention strategies. Specifically, it suggests that an increased time delay between infection and isolation could lead to more severe outbreaks, further supporting the development of more effective intervention approaches. Full article
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<p>Flow chart of the model.</p>
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<p>When <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>20.6</mn> </mrow> </semantics></math>, equilibrium <math display="inline"><semantics> <msub> <mi>E</mi> <mn>1</mn> </msub> </semantics></math> of system (<a href="#FD1-axioms-13-00798" class="html-disp-formula">1</a>) is locally asymptotically stable.</p>
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<p>When <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>26.0</mn> </mrow> </semantics></math>, equilibrium <math display="inline"><semantics> <msub> <mi>E</mi> <mn>1</mn> </msub> </semantics></math> of system (<a href="#FD1-axioms-13-00798" class="html-disp-formula">1</a>) is unstable.</p>
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<p>When <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>8.50</mn> </mrow> </semantics></math>, equilibrium <math display="inline"><semantics> <msub> <mi>E</mi> <mn>2</mn> </msub> </semantics></math> of system (<a href="#FD1-axioms-13-00798" class="html-disp-formula">1</a>) is locally asymptotically stable.</p>
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<p>When <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>8.66</mn> </mrow> </semantics></math>, equilibrium <math display="inline"><semantics> <msub> <mi>E</mi> <mn>2</mn> </msub> </semantics></math> of system (<a href="#FD1-axioms-13-00798" class="html-disp-formula">1</a>) is unstable.</p>
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15 pages, 874 KiB  
Article
Deep Reinforcement Learning-Driven Jamming-Enhanced Secure Unmanned Aerial Vehicle Communications
by Zhifang Xing, Yunhui Qin, Changhao Du, Wenzhang Wang and Zhongshan Zhang
Sensors 2024, 24(22), 7328; https://doi.org/10.3390/s24227328 - 16 Nov 2024
Viewed by 343
Abstract
Despite its flexibility, unmanned aerial vehicle (UAV) communications are susceptible to eavesdropping due to the open nature of wireless channels and the broadcasting nature of wireless signals. This paper studies secure UAV communications and proposes a method to optimize the minimum secrecy rate [...] Read more.
Despite its flexibility, unmanned aerial vehicle (UAV) communications are susceptible to eavesdropping due to the open nature of wireless channels and the broadcasting nature of wireless signals. This paper studies secure UAV communications and proposes a method to optimize the minimum secrecy rate of the system by using interference technology to enhance it. To this end, the system not only deploys multiple UAV base stations (BSs) to provide services to legitimate users but also assigns dedicated UAV jammers to send interference signals to active or potential eavesdroppers to disrupt their eavesdropping effectiveness. Based on this configuration, we formulate the optimization process of parameters such as the user association variables, UAV trajectory, and output power as a sequential decision-making problem and use the single-agent soft actor-critic (SAC) algorithm and twin delayed deep deterministic policy gradient (TD3) algorithm to achieve joint optimization of the core parameters. In addition, for specific scenarios, we also use the multi-agent soft actor-critic (MASAC) algorithm to solve the joint optimization problem mentioned above. The numerical results show that the normalized average secrecy rate of the MASAC algorithm increased by more than 6.6% and 14.2% compared with that of the SAC and TD3 algorithms, respectively. Full article
(This article belongs to the Special Issue Novel Signal Processing Techniques for Wireless Communications)
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<p>The jamming-enhanced secure UAV communication deployment in the target area.</p>
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<p>Diagram of the single-agent SAC algorithm for the jamming-enhanced secure UAV communication network.</p>
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<p>Diagram of the agent in the single-agent TD3 algorithm.</p>
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<p>Diagram of the MASAC algorithm for the jamming-enhanced secure UAV communication network.</p>
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<p>The cumulative discounted reward versus the training episodes.</p>
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<p>The normalized average secrecy rate versus the number of time slots.</p>
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<p>The normalized average secrecy rate versus the number of ground eavesdroppers.</p>
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<p>The normalized average secrecy rate versus the number of latent eavesdroppers.</p>
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19 pages, 10002 KiB  
Article
Reliability Analysis of High-Pressure Tunnel System Under Multiple Failure Modes Based on Improved Sparrow Search Algorithm–Kriging–Monte Carlo Simulation Method
by Yingdong Wang, Chen Xing and Leihua Yao
Appl. Sci. 2024, 14(22), 10527; https://doi.org/10.3390/app142210527 - 15 Nov 2024
Viewed by 275
Abstract
It is often difficult for a structural safety design method based on deterministic analysis to fully and reasonably reflect the randomness of mechanical parameters, while the traditional reliability analysis method has a large calculation cost and low accuracy. In this paper, based on [...] Read more.
It is often difficult for a structural safety design method based on deterministic analysis to fully and reasonably reflect the randomness of mechanical parameters, while the traditional reliability analysis method has a large calculation cost and low accuracy. In this paper, based on the seepage–stress coupling numerical model, the random variables affecting the reliability of the collaborative bearing of surrounding rock and lining structures are successfully identified. Then, the improved sparrow search algorithm (ISSA) is used to optimize the hyper-parameters of the Kriging surrogate model, in order to improve the computational efficiency and accuracy of the reliability analysis model. Finally, the ISSA-Kriging-MCS model is used to quantitatively evaluate the reliability of the surrounding rock-reinforced concrete lining structure under multiple failure modes, and the sensitivity of each random variable is discussed in depth. The results show that the high-pressure tunnel structure has high safety and reliability. The reliability indexes of each failure mode decrease with the increase in the coefficient of variation (COV) of random variables. In addition, the same random variable also exhibits varying degrees of influence in different failure modes. Full article
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<p>LHS process diagram.</p>
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<p>Reliability analysis flow chart.</p>
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<p>Example 1 real response surface. (<b>a</b>) Real response surface. (<b>b</b>) Limit state surface.</p>
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<p>Example 2: real response surface.</p>
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<p>Survey and location map of studied area [<a href="#B27-applsci-14-10527" class="html-bibr">27</a>].</p>
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<p>The computational grid model. (<b>a</b>) A diagram of the overall model grid division. (<b>b</b>) A schematic diagram of the lining grid.</p>
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<p>The relationship between axial stress and mechanical parameters.</p>
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<p>The response surface of each random variable to the calculation results. The change in color gradient of all response surface plots (from bottom to top) represents the increasing reliability of the system.</p>
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<p>The response surface of each random variable to the calculation results. The change in color gradient of all response surface plots (from bottom to top) represents the increasing reliability of the system.</p>
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<p>Sensitivity analysis curve of failure mode 1.</p>
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<p>Sensitivity analysis curve of failure mode 2.</p>
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<p>Sensitivity analysis curve of failure mode 3.</p>
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<p>The variation curves of random variables under different failure modes.</p>
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17 pages, 23351 KiB  
Article
FPGA Readout for Frequency-Multiplexed Array of Micromechanical Resonators for Sub-Terahertz Imaging
by Leonardo Gregorat, Marco Cautero, Alessandro Pitanti, Leonardo Vicarelli, Monica La Mura, Alvise Bagolini, Rudi Sergo, Sergio Carrato and Giuseppe Cautero
Sensors 2024, 24(22), 7276; https://doi.org/10.3390/s24227276 - 14 Nov 2024
Viewed by 388
Abstract
Field programmable gate arrays (FPGAs) have not only enhanced traditional sensing methods, such as pixel detection (CCD and CMOS), but also enabled the development of innovative approaches with significant potential for particle detection. This is particularly relevant in terahertz (THz) ray detection, where [...] Read more.
Field programmable gate arrays (FPGAs) have not only enhanced traditional sensing methods, such as pixel detection (CCD and CMOS), but also enabled the development of innovative approaches with significant potential for particle detection. This is particularly relevant in terahertz (THz) ray detection, where microbolometer-based focal plane arrays (FPAs) using microelectromechanical (MEMS) resonators are among the most promising solutions. Designing high-performance, high-pixel-density sensors is challenging without FPGAs, which are crucial for deterministic parallel processing, fast ADC/DAC control, and handling large data throughput. This paper presents a MEMS-resonator detector, fully managed via an FPGA, capable of controlling pixel excitation and tracking resonance-frequency shifts due to radiation using parallel digital lock-in amplifiers. The innovative FPGA architecture, based on a lock-in matrix, enhances the open-loop readout technique by a factor of 32. Measurements were performed on a frequency-multiplexed, 256-pixel sensor designed for imaging applications. Full article
(This article belongs to the Special Issue Application of FPGA-Based Sensor Systems)
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<p>(<b>a</b>) Readout scheme of an MTR with two golden tracks where the displacement is induced via Lorentz’s force due to current injection. (<b>b</b>) Readout scheme of an MTR with two golden tracks connected in parallel. In this case, the displacement is induced via a piezoelectric actuator underneath the device.</p>
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<p>Image of the 16 × 16 sensor glued to a piezoelectric actuator.</p>
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<p>Comparison between the simulated and measured <math display="inline"><semantics> <msub> <mi>f</mi> <mn>0</mn> </msub> </semantics></math> as a function of <span class="html-italic">W</span> and the respective power-law fits.</p>
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<p>Schematic representation of the vacuum chamber hosting the devices.</p>
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<p>Block diagram of the developed readout platform, composed of 3 PCBs, the bolometer matrix, a radiation source, and the host PC controlling the acquisition.</p>
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<p>Block diagram of the implemented FPGA firmware highlighting the main modules and their interconnections.</p>
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<p>Representation of a lock-in amplifier structure composed of 2 parallel paths made using a mixer and a low-pass filter.</p>
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<p>Diagram of the single-pole IIR LPF filter described by the difference Equation (<a href="#FD4-sensors-24-07276" class="html-disp-formula">4</a>), with the critical path highlighted in light red.</p>
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<p>Diagram of the 2-slow implementation of the single-pole IIR LPF filter, with the DSP block hardware highlighted in orange.</p>
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<p>Block diagram of the 2-slow implementation of the lock-in with selectable order.</p>
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<p>(<b>a</b>) Spectrogram of a polytonal excitation signal with the tones being equally spaced in frequency and with arbitrary amplitudes between 100 mV and 0.5 mV. (<b>b</b>) Amplitude spectrum of the signal at 2 s.</p>
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<p>(<b>a</b>) Spectrogram of a polytonal excitation signal with the tones being equally spaced in frequency and with arbitrary amplitudes between 100 mV and 0.5 mV. (<b>b</b>) Amplitude spectrum of the signal at 2 s.</p>
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<p>Picture of the experimental setup for laser pointer-based measurement, including the vacuum chamber housing the sensor and the readout electronics.</p>
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<p>(<b>a</b>) Schematic representation of the area scanned relative to the measured MTRs’ position. (<b>b</b>) Frequency shift relative to the dark acquisition of the 16 MTRs. Log scale is used to better highlight the response of non-directly illuminated MTRs.</p>
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<p>Image obtained with the MTRs sensor using a 0.1 THz source and a copper blade in different positions. The pixels inside the red dashed rectangle are covered by the mask. The last frame shows that the unwanted feature remains upon coverage.</p>
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19 pages, 4272 KiB  
Article
Cognitive Diagnosis Method via Q-Matrix-Embedded Neural Networks
by Jinhong Tao, Wei Zhao, Fengjuan Liu, Xiaoqing Guo, Nuo Cheng, Qian Guo, Xiaoqing Xu and Hong Duan
Appl. Sci. 2024, 14(22), 10380; https://doi.org/10.3390/app142210380 - 12 Nov 2024
Viewed by 438
Abstract
Cognitive diagnosis is one of the essential components in intelligent education and aims to diagnose student’s skill or knowledge mastery based on their responses. Recently, with the development of artificial intelligence, some researchers have applied neural network methods to cognitive diagnosis. Although they [...] Read more.
Cognitive diagnosis is one of the essential components in intelligent education and aims to diagnose student’s skill or knowledge mastery based on their responses. Recently, with the development of artificial intelligence, some researchers have applied neural network methods to cognitive diagnosis. Although they achieved some success, they seemed to lack a certain basis for designing network structures and could not obtain a unified method for designing network structures. We propose a neural network method for cognitive diagnosis based on Q-matrix constraints, introducing the Q-matrix from traditional cognitive diagnosis to enhance the reliability and interpretability of the network structure. Specifically, our method is highly consistent with generalized deterministic inputs, the noisy “and” gate model (GDINA), and the network structure reflects the direct contribution of skills to answering questions correctly, as well as the indirect contribution of interactions between skills to answering questions correctly. Finally, extensive experiments on both simulated and real datasets demonstrated that our method achieved high accuracy and reliability, with a particularly notable performance on low-quality datasets. As the number of questions and skills increased, our approach exhibited greater robustness compared to the classical methods, highlighting its potential for broad applicability in cognitive diagnosis tasks. Full article
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<p>Example of a cognitive diagnostic process, used to infer and predict students’ level of mastery of knowledge concepts through cognitive diagnostic assessments. (<b>a</b>) Collection of student response data: The Q-matrix is transformed into test items, with student responses recorded. Circles in different colors represent distinct knowledge concepts or skills, and items denote test questions composed of these concepts. Solid connecting lines indicate the constituent relationship between items and the respective knowledge concepts or skills. (<b>b</b>) Visualization report of cognitive diagnostic results. Additionally, CDM refers to a specifically designated cognitive diagnosis model.</p>
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<p>The neural network architecture of the Dual Q-Net cognitive diagnostic model. Note, the orange line (i.e., the orange computational flow with a vertical striped background) indicates that the main effect is constrained by the Q matrix. The green line (i.e., the green computational flow with a horizontal striped background) indicates that the secondary effect between skills is constrained by the interactive Q matrix. The purple line (i.e., the purple computational flow with a diagonal striped background) represents the combination of the main effect with the secondary effect. The blue neuron (i.e., the blue computational flow with a plain, unstriped background) represents the loss function used to calculate the loss value. The cyan <math display="inline"><semantics> <mi mathvariant="normal">X</mi> </semantics></math>-blocks and the green <math display="inline"><semantics> <mi mathvariant="normal">A</mi> </semantics></math>-blocks represent the student response data and skill mastery patterns, respectively. Both are considered external data, with the former serving as input data for the model and the latter as supervision data.</p>
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<p>Training Dynamics: loss, AAR, and PAR values in neural networks on simulated data generated by the DINA model with Q-matrix <math display="inline"><semantics> <msub> <mi mathvariant="bold-italic">Q</mi> <mn>1</mn> </msub> </semantics></math>. Subplots (<b>a</b>–<b>c</b>) show the results of the model training process for the high-quality dataset (i.e., <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mn>0</mn> <mo>)</mo> <mo>,</mo> <mn>1</mn> <mo>−</mo> <mi>P</mi> <mo>(</mo> <mn>1</mn> <mo>)</mo> <mo>∈</mo> <mi mathvariant="normal">U</mi> <mo>(</mo> <mn>0</mn> <mo>,</mo> <mn>0.15</mn> <mo>)</mo> </mrow> </semantics></math>), and subfigures (<b>d</b>–<b>f</b>) show the results of the model training process for the low-quality dataset (i.e., <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mn>0</mn> <mo>)</mo> <mo>,</mo> <mn>1</mn> <mo>−</mo> <mi>P</mi> <mo>(</mo> <mn>1</mn> <mo>)</mo> <mo>∈</mo> <mi mathvariant="normal">U</mi> <mo>(</mo> <mn>0.15</mn> <mo>,</mo> <mn>0.30</mn> <mo>)</mo> </mrow> </semantics></math>).</p>
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<p>Training Dynamics: Loss, AAR, and PAR values of neural networks on simulated data generated by the GDINA model with Q-matrix <math display="inline"><semantics> <msub> <mi mathvariant="bold-italic">Q</mi> <mn>2</mn> </msub> </semantics></math>. Subplots (<b>a</b>–<b>c</b>) show the results of the model training process on the high-quality dataset (i.e., <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mn>0</mn> <mo>)</mo> <mo>,</mo> <mn>1</mn> <mo>−</mo> <mi>P</mi> <mo>(</mo> <mn>1</mn> <mo>)</mo> <mo>∈</mo> <mi mathvariant="normal">U</mi> <mo>(</mo> <mn>0</mn> <mo>,</mo> <mn>0.15</mn> <mo>)</mo> </mrow> </semantics></math>), and subfigures (<b>d</b>–<b>f</b>) show the results of the model training process on the low-quality dataset (i.e., <math display="inline"><semantics> <mrow> <mi>P</mi> <mo>(</mo> <mn>0</mn> <mo>)</mo> <mo>,</mo> <mn>1</mn> <mo>−</mo> <mi>P</mi> <mo>(</mo> <mn>1</mn> <mo>)</mo> <mo>∈</mo> <mi mathvariant="normal">U</mi> <mo>(</mo> <mn>0.15</mn> <mo>,</mo> <mn>0.30</mn> <mo>)</mo> </mrow> </semantics></math>).</p>
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14 pages, 4702 KiB  
Article
Decision-Making Policy for Autonomous Vehicles on Highways Using Deep Reinforcement Learning (DRL) Method
by Ali Rizehvandi, Shahram Azadi and Arno Eichberger
Automation 2024, 5(4), 564-577; https://doi.org/10.3390/automation5040032 - 8 Nov 2024
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Abstract
Automated driving (AD) is a new technology that aims to mitigate traffic accidents and enhance driving efficiency. This study presents a deep reinforcement learning (DRL) method for autonomous vehicles that can safely and efficiently handle highway overtaking scenarios. The first step is to [...] Read more.
Automated driving (AD) is a new technology that aims to mitigate traffic accidents and enhance driving efficiency. This study presents a deep reinforcement learning (DRL) method for autonomous vehicles that can safely and efficiently handle highway overtaking scenarios. The first step is to create a highway traffic environment where the agent can be guided safely through surrounding vehicles. A hierarchical control framework is then provided to manage high-level driving decisions and low-level control commands, such as speed and acceleration. Next, a special DRL-based method called deep deterministic policy gradient (DDPG) is used to derive decision strategies for use on the highway. The performance of the DDPG algorithm is compared with that of the DQN and PPO algorithms, and the results are evaluated. The simulation results show that the DDPG algorithm can effectively and safely handle highway traffic tasks. Full article
(This article belongs to the Collection Smart Robotics for Automation)
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<p>DRL algorithms.</p>
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<p>Training process.</p>
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<p>Sensor modeling and highway traffic environment in MATLAB software. ((<b>a</b>): Camera and Lidar integration, (<b>b</b>): Traffic environment modeling).</p>
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<p>RL model for autonomous vehicle [<a href="#B23-automation-05-00032" class="html-bibr">23</a>].</p>
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<p>Block diagram.</p>
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<p>Overtaking maneuver in the highway environment. ((<b>a</b>): preparing for overtaking; (<b>b</b>): executing overtaking; (<b>c</b>): executing overtaking; (<b>d</b>): terminating overtaking).</p>
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<p>Average reward; DDPG, DQN, and PPO methods.</p>
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<p>Agent distance; DDPG, DQN, and PPO methods.</p>
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<p>Agent Speed; DDPG, DQN, and PPO methods.</p>
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<p>Agent acceleration; DDPG, DQN, and PPO methods.</p>
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<p>Agent cumulative reward; DDPG, DQN, and PPO methods.</p>
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<p>Dangerous overtaking maneuver in the highway environment. ((<b>a</b>): preparing for overtaking; (<b>b</b>): executing overtaking; (<b>c</b>): executing overtaking; (<b>d</b>): terminating overtaking).</p>
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<p>Dangerous action in the highway environment.</p>
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<p>Collision in the overtaking maneuver in the highway environment ((<b>a</b>): preparing for overtaking; (<b>b</b>): collision).</p>
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