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Search Results (2,405)

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14 pages, 4324 KiB  
Article
Mapping Soil Surface Moisture of an Agrophytocenosis via a Neural Network Based on Synchronized Radar and Multispectral Optoelectronic Data of SENTINEL-1,2—Case Study on Test Sites in the Lower Volga Region
by Anatoly Zeyliger, Konstantin Muzalevskiy, Olga Ermolaeva, Anastasia Grecheneva, Ekaterina Zinchenko and Jasmina Gerts
Sustainability 2024, 16(21), 9606; https://doi.org/10.3390/su16219606 - 4 Nov 2024
Viewed by 238
Abstract
In this article, the authors developed a novel method for the moisture mapping of the soil surface of agrophytocenosis using a neural network based on synchronized radar and multispectral optoelectronic data from Sentinel-1,2. The significance of this research lies in its potential to [...] Read more.
In this article, the authors developed a novel method for the moisture mapping of the soil surface of agrophytocenosis using a neural network based on synchronized radar and multispectral optoelectronic data from Sentinel-1,2. The significance of this research lies in its potential to enhance precision farming practices, which are increasingly vital in addressing global agricultural challenges such as water scarcity and the need for sustainable resource management. To verify the developed method, data from two experimental plots were utilized. These plots were located on irrigated soybean crops, with the first plot situated on the right bank (plot No. 1) and the second on the left bank (plot No. 2) of the lower Volga River. Two experimental soil moisture geodatasets were created through measurements and geo-referencing points using the gravimetric method (for plot No. 1) and the proximal sensing method (for plot No. 2) employing the Soil Moisture Sensor ML3-KIT (THETAKIT, Delta). The soil moisture retrieval algorithm was based on the use of a neural network to predict the reflection coefficient of an electro-magnetic wave from the soil surface, followed by inversion into soil moisture using a dielectric model that takes into account the soil texture. The input parameter of the neural network was the ratio of the microwave radar vegetation index (calculated based on Sentinel-1 data) to the index (calculated based on the data of multispectral optoelectronic channels 8 and 11 of Sentinel-2). The retrieved soil moisture values were compared with in situ measurements, showing a determination coefficient of 0.44–0.65 and a standard deviation of 2.4–4.2% for plot No. 1 and similar metrics for plot No. 2. The conducted research laid the groundwork for developing a new technology for remote sensing of soil moisture content in agrophytocenosis, serving as a crucial component of precision farming systems and agroecology. The integration of this technology promotes sustainable agricultural practices by minimizing water consumption while maximizing crop productivity. This aligns with broader environmental goals of conserving natural resources and reducing agricultural runoff. On a larger scale, data derived from such studies can inform policy decisions related to water resource management, guiding regulations that promote efficient water use in agriculture. Full article
(This article belongs to the Special Issue Biotechnology on Sustainable Agriculture)
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Figure 1

Figure 1
<p>Test plot No. 1, southwest of the Volgograd city region (<b>a</b>) and test plot No. 2, southeast of the Saratov city (see black dash lines) region (<b>b</b>). Images obtained from Google Maps and the Sentinel-2 satellite in QGIS on 11 July 2020 and 22 August 2022, respectively.</p>
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<p>Location of soil and plant sampling/measurement points in test plot No. 1, 11 July 2020 (<b>a</b>,<b>c</b>), and test plot No. 2, 22 August 2022 (<b>b</b>,<b>d</b>). Soil moisture interpolation map calculated via soil sampling of test plot No. 1 (<b>a</b>) and test plot No. 2 (<b>b</b>) NDVI map calculated based on Sentinel-2 data, 11 July 2020 (<b>c</b>) and 22 August 2022 (<b>d</b>). The dots in both figures mark the places where samplings/measurements were taken out.</p>
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<p>The RBC value calculated based on data of Sentinel-1 at VV and VH polarizations as a function of soil volumetric moisture (<b>a</b>) and the relationship between the NDVI and plant height (<b>b</b>) obtained in test plot No. 1.</p>
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<p>Dependence of the multispectral index I0 calculated based on Sentinel-2 measurements on plant height (<b>a</b>) and dependence of the microwave plant index calculated based on Sentinel-1 measurements on plant height (<b>b</b>), obtained for test plot No. 1.</p>
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<p>Ratio of multispectral optical index I<sub>0</sub> to microwave index of vegetation versus volumetric soil moisture in test plot No. 1 (<b>a</b>) and ratio of multispectral optical index I<sub>0</sub> to the microwave index of vegetation versus plant height in test plot No. 1 (<b>b</b>).</p>
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<p>Simple NN with one hidden L1N layer containing N neurons.</p>
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<p>Coefficient of determination (<b>a</b>) and RMSE (<b>b</b>) between true and predicted reflectance coefficient NN values depending on the number of neurons.</p>
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<p>Values of volumetric soil moisture reconstructed from Sentinel-1,2 satellite data and NN model depending on soil moisture measured in test No. 1 (sampling plot, see <a href="#sustainability-16-09606-f002" class="html-fig">Figure 2</a>a).</p>
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<p>Maps of soil surface moisture predicted via NN at test plot No. 1, (<b>a</b>) 9 July 2020 and (<b>b</b>) 9 July 2020. Absolute difference between the soil moisture values predicted via the NN and measured using the gravimetric method at test plot No. 1, (<b>c</b>) 21 July and (<b>d</b>) 9 July 2020.</p>
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<p>Soil moisture maps of test plot No. 2 built based on training the NN with the input parameters I0 (<b>a</b>), RVI (<b>b</b>), and the pre-trained NN model using the entire data set with the input parameter NN RVI/I0 (<b>c</b>). The maps are built on the same interpolation grid (Sentinel-2, channel 11) with a step of 20 m.</p>
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<p>Correlation between soil moisture values measured in test plot No. 2 on 22 August 2022, with moisture reconstructed using various input parameters in pre-trained NN: I0 (<b>a</b>), RVI (<b>b</b>), and RVI\I0 (<b>c</b>) (measurement locations, see <a href="#sustainability-16-09606-f002" class="html-fig">Figure 2</a>b).</p>
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16 pages, 4852 KiB  
Article
Applicability of Small and Low-Cost Magnetic Sensors to Geophysical Exploration
by Filippo Accomando and Giovanni Florio
Sensors 2024, 24(21), 7047; https://doi.org/10.3390/s24217047 - 31 Oct 2024
Viewed by 329
Abstract
In the past few decades, there has been a notable technological advancement in geophysical sensors. In the case of magnetometry, several sensors were used, having the common feature of being miniaturized and lightweight, thus idoneous to be carried by UAVs in drone-borne magnetometric [...] Read more.
In the past few decades, there has been a notable technological advancement in geophysical sensors. In the case of magnetometry, several sensors were used, having the common feature of being miniaturized and lightweight, thus idoneous to be carried by UAVs in drone-borne magnetometric surveys. A common feature is that their sensitivity ranges from 0.1 to about 200 nT, thus not comparable to that of optically pumped, standard fluxgate or even proton magnetometers. However, their low cost, volume and weight remain very interesting features of these sensors. In fact, such sensors have the common feature of being very inexpensive, so new ways of making surveys using many of these sensors could be devised, in addition to the possibility, even with limited resources, of creating gradiometers by combining two or more of them. In this paper, we explore the range of applicability of small tri-axial magnetometers commonly used for attitude determination in several devices. We compare the results of surveys performed with standard professional geophysical instruments with those obtained using these sensors and find that in the presence of strongly magnetized sources, they succeeded in identifying the main anomalies. Full article
(This article belongs to the Collection Magnetic Sensors)
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Figure 1
<p>“Area 1” (Naples, Italy) case. (<b>a</b>) the Total field intensity acquired by an MFAM sensor. (<b>b</b>) The total field intensity computed by the three components of a Hall-effect sensor contained in a smartphone. Dashed lines mark the position of the profiles shown in <a href="#sensors-24-07047-f002" class="html-fig">Figure 2</a>.</p>
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<p>Comparison of the total field intensities recorded by an MFAM and a Hall-effect sensor at “Area 1” (Naples, Italy). (<b>a</b>) NW–SE profile located at x = 12 m in the map of <a href="#sensors-24-07047-f001" class="html-fig">Figure 1</a>a. (<b>b</b>) NW–SE profile located at x = 24 m in the map of <a href="#sensors-24-07047-f001" class="html-fig">Figure 1</a>b.</p>
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<p>Verteglia Plain (Italy) case. (<b>a</b>) Total field intensity acquired by an MFAM sensor. (<b>b</b>) Total field intensity computed by the three components of an AMR sensor used as a compass in the MFAM. Dashed lines mark the position of the profiles shown in <a href="#sensors-24-07047-f004" class="html-fig">Figure 4</a>. In both maps, the color bar is optimized to allow visualizing the northern low-amplitude magnetic anomalies.</p>
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<p>Comparison of the total field intensities recorded by an MFAM and an AMR sensor at Verteglia Plain (Italy). (<b>a</b>) S–N profile located at x = 12 m in the map of <a href="#sensors-24-07047-f003" class="html-fig">Figure 3</a>a. (<b>b</b>) S–N profile located at x = 26 m in the map of <a href="#sensors-24-07047-f003" class="html-fig">Figure 3</a>b.</p>
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<p>Comparison of the total field intensities recorded by an MFAM and an AMR sensor at Verteglia Plain (Italy). (<b>a</b>) S–N profile located at x = 12 m in the map of <a href="#sensors-24-07047-f003" class="html-fig">Figure 3</a>a. (<b>b</b>) S–N profile located at x = 26 m in the map of <a href="#sensors-24-07047-f003" class="html-fig">Figure 3</a>b.</p>
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<p>Presenzano quarry drone-borne magnetic datasets. (<b>a</b>) Total field intensity acquired by an MFAM sensor. (<b>b</b>) Total field intensity computed by the three components of an AMR sensor used as a compass in the MFAM. The line at x = 419,500 m marks the profile shown in <a href="#sensors-24-07047-f006" class="html-fig">Figure 6</a>.</p>
Full article ">Figure 5 Cont.
<p>Presenzano quarry drone-borne magnetic datasets. (<b>a</b>) Total field intensity acquired by an MFAM sensor. (<b>b</b>) Total field intensity computed by the three components of an AMR sensor used as a compass in the MFAM. The line at x = 419,500 m marks the profile shown in <a href="#sensors-24-07047-f006" class="html-fig">Figure 6</a>.</p>
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<p>Comparison of the total field intensities recorded by an MFAM and an AMR sensor at Presenzano quarry (Italy). S–N profile located at x = 419,500 m in the map of <a href="#sensors-24-07047-f005" class="html-fig">Figure 5</a>.</p>
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20 pages, 8135 KiB  
Article
Optimizing Contact-Less Magnetoelastic Sensor Design for Detecting Substances Accumulating in Constrained Environments
by Ioannis Kalyvas and Dimitrios Dimogianopoulos
Designs 2024, 8(6), 112; https://doi.org/10.3390/designs8060112 - 31 Oct 2024
Viewed by 344
Abstract
The optimization of a contact-less magnetoelastic sensing setup designed to detect substances/agents accumulating in its environment is presented. The setup is intended as a custom-built, low-cost yet effective magnetoelastic sensor for pest/bug detection in constrained places (small museums, labs, etc.). It involves a [...] Read more.
The optimization of a contact-less magnetoelastic sensing setup designed to detect substances/agents accumulating in its environment is presented. The setup is intended as a custom-built, low-cost yet effective magnetoelastic sensor for pest/bug detection in constrained places (small museums, labs, etc.). It involves a short, thin, and flexible polymer slab in a cantilever arrangement, with a short Metglas® 2826 MB magnetoelastic ribbon attached on part of its surface. A mobile phone both supports and supplies low-amplitude vibration to the slab’s free end. When vibrating, the magnetoelastic ribbon generates variable magnetic flux, thus inducing voltage in a contact-less manner into a pick-up coil suspended above the ribbon. This voltage carries specific characteristic frequencies of the slab’s vibration. If substances/agents accumulate on parts of the (suitably coated) slab surface, its mass distribution and, hence, characteristic frequencies change. Then, simply monitoring shifts of such frequencies in the recorded voltage enables the detection of accumulating substances/agents. The current work uses extensive testing via various vibration profiles and load positions on the slab, for statistically evaluating the sensitivity of the mass detection of the setup. It is shown that, although this custom-built substance/agent detector involves limited (low-cost) hardware and a simplified design, it achieves promising results with respect to its cost. Full article
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Figure 1

Figure 1
<p>Components of the setup: (<b>a</b>) the polymer slab clamped on the right and supported by a feature phone on the left, with the pick-up coil near the clamp; (<b>b</b>) detail of the clamped end with the pick-up coil placed on a supporting base above the Metglas<sup>®</sup> ribbon fixed at the end of red line.</p>
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<p>Evaluating the setup for sensitivity and detection effectiveness by replacing feature phone with vibration module A (see inset) fixed under the slab (see short arrow) and driven by an Arduino-Uno microcontroller B, connected to the portable computer on the left.</p>
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<p>Locations where a mass of 0.46 g is placed during testing: location W4, the closest possible to the ribbon (which lies under the coil-supporting base); location W6 near the middle; location W8 right in front of vibration module and its supporting base.</p>
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<p>Frequency plots of recorded voltage (as provided by the pick-up coil) following testing using various vibration profiles for evaluating sensitivity, with first (around 5400Hz) and second (around 2700Hz) principal activity regions shown in insets.</p>
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<p>Amplitude dispersion of frequency peaks of signals created from each excitation profile (in black) versus noise (in blue): (<b>a</b>) in the first principal activity region; (<b>b</b>) in the second principal activity region.</p>
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<p>Values for <span class="html-italic">I<sub>x</sub></span> criterion in (3) (green bars) for all vibration profiles in both principal activity regions (also value for <span class="html-italic">I<sub>x</sub></span> in the first principal activity region with brown bars, for comparative purposes): lower bars indicate better sensing obtained from the corresponding vibration profile.</p>
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<p>Frequency plots of voltage signals obtained via the pick-up coil from a slab vibrating due to excitation at 180Hz without and with mass at W4: (<b>a</b>) peaks in first principal activity region; (<b>b</b>) peaks in second principal activity region; (<b>c</b>) peak dispersion for both configurations in first principal activity region; (<b>d</b>) peak dispersion for both configurations in first principal activity region.</p>
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<p>Frequency plots of voltage signals obtained via the pick-up coil from a slab vibrating due to excitation at 180Hz without and with mass at W6: (<b>a</b>) peaks in first principal activity region; (<b>b</b>) peaks in second principal activity region; (<b>c</b>) peak dispersion for both configurations in first principal activity region; (<b>d</b>) peak dispersion for both configurations in first principal activity region.</p>
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<p>Frequency plots of voltage signals obtained via the pick-up coil from a slab vibrating due to excitation at 180Hz without and with mass at W8: (<b>a</b>) peaks in first principal activity region; (<b>b</b>) peaks in second principal activity region; (<b>c</b>) peak dispersion for both configurations in first principal activity region; (<b>d</b>) peak dispersion for both configurations in first principal activity region.</p>
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<p>Frequency plots of voltage signals obtained via the pick-up coil from a slab vibrating due to frequency sweep excitation without and with mass at W4: (<b>a</b>) peaks in first principal activity region; (<b>b</b>) peaks in second principal activity region; (<b>c</b>) peak dispersion for both configurations in first principal activity region; (<b>d</b>) peak dispersion for both configurations in first principal activity region.</p>
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<p>Frequency plots of voltage signals obtained via the pick-up coil from a slab vibrating due to frequency sweep excitation without and with mass at W6: (<b>a</b>) peaks in first principal activity region; (<b>b</b>) peaks in second principal activity region; (<b>c</b>) peak dispersion for both configurations in first principal activity region; (<b>d</b>) peak dispersion for both configurations in first principal activity region.</p>
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<p>Frequency plots of voltage signals obtained via the pick-up coil from a slab vibrating due to frequency sweep excitation without and with mass at W8: (<b>a</b>) peaks in first principal activity region; (<b>b</b>) peaks in second principal activity region; (<b>c</b>) peak dispersion for both configurations in first principal activity region; (<b>d</b>) peak dispersion for both configurations in first principal activity region.</p>
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<p>Amplitude dispersion of frequency peaks of signals recorded with the slab at rest (i.e., mainly electromagnetic ambient noise), for an idling (in black) or a ringing (in blue) mobile phone: (<b>a</b>) first principal activity region; (<b>b</b>) second principal activity region.</p>
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20 pages, 20556 KiB  
Article
A Contactless Low-Carbon Steel Magnetostrictive Torquemeter: Numerical Analysis and Experimental Validation
by Carmine Stefano Clemente, Claudia Simonelli, Nicolò Gori, Antonino Musolino, Rocco Rizzo, Marco Raugi, Alessandra Torri and Luca Sani
Sensors 2024, 24(21), 6949; https://doi.org/10.3390/s24216949 - 29 Oct 2024
Viewed by 350
Abstract
Torque measurement is a key task in several mechanical and structural engineering applications. Most commercial torquemeters require the shaft to be interrupted to place the sensors between the two portions of the shaft where a torque has to be measured. Contactless torquemeters based [...] Read more.
Torque measurement is a key task in several mechanical and structural engineering applications. Most commercial torquemeters require the shaft to be interrupted to place the sensors between the two portions of the shaft where a torque has to be measured. Contactless torquemeters based on the inverse magnetostrictive effect represent an effective alternative to conventional ones. Most known ferromagnetic materials have an inverse magnetostrictive behavior: applied stresses induce variations in their magnetic properties. This paper investigates the possibility of measuring torsional loads applied to a shaft made of ferromagnetic steel S235 through an inverse magnetostrictive torquemeter. It consists of an excitation coil that produces a time-varying electromagnetic field inside the shaft and an array of sensing coils suitably arranged around it, in which voltages are induced. First, the system is analyzed both in unloaded and loaded conditions by a Finite Element Method, investigating the influence of relative positions between the sensor and the shaft. Then, the numerical results are compared with the experimental measurements, confirming a linear characteristic of the sensor (sensitivity about 0.013 mV/Nm for the adopted experimental setup) and revealing the consistency of the model used. Since the system exploits the physical behavior of a large class of structural steel and does not require the introduction of special materials, this torquemeter may represent a reliable, economical, and easy-to-install device. Full article
(This article belongs to the Special Issue Magnetostrictive Transducers, Sensors, and Actuators)
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Figure 1
<p>Schematic view of the torque measurement system.</p>
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<p>Ampere-turn equivalent model of a sensor with an excitation coil and a single couple of sense coils.</p>
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<p>Meshed domain for the FE analysis: shaft portion and air box (<b>a</b>), and flux density distribution on the shaft surface (<b>b</b>).</p>
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<p>Complete sensor over a ferromagnetic shaft in air. The excitation and sensing coils layout over the under-testing shaft is visible. The pickup coils 1 and 4, 2 and 5, and 3 and 6 are electrically connected in series.</p>
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<p>Amplitudes of the induced voltages as functions of the gap.</p>
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<p>Amplitudes of the induced voltages with respect to the pitch angle.</p>
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<p>Amplitudes of the induced voltages with respect to the displacement along the x-axis.</p>
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<p>Amplitudes of the induced voltages with respect to the yaw angle.</p>
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<p>FE model of the analyzed geometry.</p>
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<p>Amplitude of the magnetic flux density in the 3D FE model at 0 Nm (<b>a</b>), 600 Nm (<b>b</b>), and 1200 Nm (<b>c</b>). Values are expressed in milliTesla.</p>
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<p>FE computed sensing coils peak voltages versus applied pure torque.</p>
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<p>FE computed sensing coils peak voltage difference (with respect to torque = 0 Nm) versus applied pure torque.</p>
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<p>Sample shaft used to test the proposed system coupled to a 2 m long bar and a test rig.</p>
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<p>Experimental setup used to produce the static mechanical excitation.</p>
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<p>Sample shaft under test with mounted probehead (<b>a</b>) and 3D printed probehead support (<b>b</b>).</p>
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<p>Peak voltages on the sensing coils as a function of applied pure torque. Experimental results.</p>
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<p>Sensing coils peak voltage difference (with respect to null torque) versus applied pure torque. Experimental results.</p>
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<p>Sensing coils peak voltage difference (with respect to null load) versus applied torque in case of non-pure torque test. Experimental results.</p>
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<p>Sensing coils peak voltage versus applied torque: loading and unloading cycle. Experimental results.</p>
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<p>Sensing coils peak voltages versus yaw angles, in unloaded shaft conditions. Experimental results.</p>
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20 pages, 5455 KiB  
Article
A New Iterative Algorithm for Magnetic Motion Tracking
by Tobias Schmidt, Johannes Hoffmann, Moritz Boueke, Robert Bergholz, Ludger Klinkenbusch and Gerhard Schmidt
Sensors 2024, 24(21), 6947; https://doi.org/10.3390/s24216947 - 29 Oct 2024
Viewed by 286
Abstract
Motion analysis is of great interest to a variety of applications, such as virtual and augmented reality and medical diagnostics. Hand movement tracking systems, in particular, are used as a human–machine interface. In most cases, these systems are based on optical or acceleration/angular [...] Read more.
Motion analysis is of great interest to a variety of applications, such as virtual and augmented reality and medical diagnostics. Hand movement tracking systems, in particular, are used as a human–machine interface. In most cases, these systems are based on optical or acceleration/angular speed sensors. These technologies are already well researched and used in commercial systems. In special applications, it can be advantageous to use magnetic sensors to supplement an existing system or even replace the existing sensors. The core of a motion tracking system is a localization unit. The relatively complex localization algorithms present a problem in magnetic systems, leading to a relatively large computational complexity. In this paper, a new approach for pose estimation of a kinematic chain is presented. The new algorithm is based on spatially rotating magnetic dipole sources. A spatial feature is extracted from the sensor signal, the dipole direction in which the maximum magnitude value is detected at the sensor. This is introduced as the “maximum vector”. A relationship between this feature, the location vector (pointing from the magnetic source to the sensor position) and the sensor orientation is derived and subsequently exploited. By modelling the hand as a kinematic chain, the posture of the chain can be described in two ways: the knowledge about the magnetic correlations and the structure of the kinematic chain. Both are bundled in an iterative algorithm with very low complexity. The algorithm was implemented in a real-time framework and evaluated in a simulation and first laboratory tests. In tests without movement, it could be shown that there was no significant deviation between the simulated and estimated poses. In tests with periodic movements, an error in the range of 1° was found. Of particular interest here is the required computing power. This was evaluated in terms of the required computing operations and the required computing time. Initial analyses have shown that a computing time of 3 μs per joint is required on a personal computer. Lastly, the first laboratory tests basically prove the functionality of the proposed methodology. Full article
(This article belongs to the Special Issue Sensor-Based Human Activity Recognition)
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Figure 1

Figure 1
<p>System overview: The illustration includes an external localization (blue) consisting of a defined setup of (here 8) sensors. The inner localization (red) consists of a 3D coil which is attached to the wrist as well as magnetic 1D sensors which are attached to each finger element. Following the localization, gesture recognition or processing of the data for the human–machine interface can be carried out.</p>
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<p>Typical example of use of the presented algorithm: At the origin of the coordinate system a 3D magnetic transmitter is located. A kinematic chain is equipped with 1D magnetic sensors, such as fluxgate magnetometers or magnetoelectric sensors, on every chain element. The kinematic chains are connected through joints with ellipsoidal cross-sections, each providing two degrees of freedom. Any additional information from the kinematic chain about the position is used to increase the speed of the localization algorithm.</p>
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<p>3D coil: (<b>a</b>) sketches the modelled simulation object. A photograph of the corresponding realization is shown in (<b>b</b>). Note that both constructions consist of three orthogonal coils.</p>
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<p>Geometry used for the derivation: <math display="inline"><semantics> <mover accent="true"> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </semantics></math> and <math display="inline"><semantics> <msub> <mover accent="true"> <mi>e</mi> <mo stretchy="false">→</mo> </mover> <mi mathvariant="normal">s</mi> </msub> </semantics></math> both lie in the <math display="inline"><semantics> <mrow> <mi>x</mi> <mi>y</mi> </mrow> </semantics></math>-plane. <math display="inline"><semantics> <msub> <mi>ϕ</mi> <mi mathvariant="normal">m</mi> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>θ</mi> <mi mathvariant="normal">m</mi> </msub> </semantics></math> define the orientation of the rotating magnetic dipole <math display="inline"><semantics> <mover accent="true"> <mi>m</mi> <mo stretchy="false">→</mo> </mover> </semantics></math> in spherical coordinates.</p>
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<p>The relation in Equation (<a href="#FD17-sensors-24-06947" class="html-disp-formula">17</a>) is independent of the angle <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math>. Moreover, the unique relationship between the three unit vectors <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>e</mi> <mo stretchy="false">→</mo> </mover> <mi>s</mi> </msub> <mo>,</mo> <msub> <mover accent="true"> <mi>e</mi> <mo stretchy="false">→</mo> </mover> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>,</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <msub> <mover accent="true"> <mi>e</mi> <mo stretchy="false">→</mo> </mover> <mi>r</mi> </msub> </semantics></math> is clarified.</p>
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<p>Blue vectors: Calculated sensor orientations <math display="inline"><semantics> <msub> <mover accent="true"> <mi>e</mi> <mo stretchy="false">→</mo> </mover> <mi>s</mi> </msub> </semantics></math> for different values of the sensor location <math display="inline"><semantics> <mover accent="true"> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </semantics></math>. The starting point of each blue vector represents the corresponding <math display="inline"><semantics> <mover accent="true"> <mi>r</mi> <mo stretchy="false">→</mo> </mover> </semantics></math>. Yellow vector: The maximum vector at the origin, always polarized in the <span class="html-italic">y</span>-direction. Note that the lengths of the blue vectors are not of interest here, as only the directions are relevant.</p>
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<p>Track of the magnetic dipole <math display="inline"><semantics> <mrow> <mover accent="true"> <mi>m</mi> <mo stretchy="false">→</mo> </mover> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> with starting point at the origin as a function of time. The tip of <math display="inline"><semantics> <mover accent="true"> <mi>m</mi> <mo stretchy="false">→</mo> </mover> </semantics></math> moves on the surface a sphere with radius <math display="inline"><semantics> <msub> <mi>m</mi> <mn>0</mn> </msub> </semantics></math>, according to Equation (<a href="#FD22-sensors-24-06947" class="html-disp-formula">22</a>) for <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mi>ω</mi> </msub> <mo>=</mo> <msub> <mi>ω</mi> <mi>θ</mi> </msub> <mo>/</mo> <msub> <mi>ω</mi> <mi>ϕ</mi> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>.</p>
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<p>The left figure exemplary shows a max vector at the origin (yellow), the position and orientation (orange) of the sensor, and the corresponding plane of zero-crossing vectors (purple). The right side shows the corresponding sensor signal as a function of time. The times when a zero-crossing is achieved are marked with a purple dot. The simulation works with a source which is driven with <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mi>ω</mi> </msub> <mo>=</mo> <msub> <mi>ω</mi> <mi>θ</mi> </msub> <mo>/</mo> <mi>ω</mi> <mi>ϕ</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>. The absolute values/lengths are not relevant, as the relative relationship between the vectors and the zero crossings are both of interest.</p>
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<p>Flow chart of the iterative algorithm: The algorithm starts with a random initial orientation. Then, the sensor position relative to the source is determined. Afterwards, the corresponding orientation is calculated. When there is no relevant change between the data obtained with two subsequent iterations, convergence is reached, and this orientation is the estimated result.</p>
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<p>Exemplary iterative process: This figure shows the iterations for a simple setup. The first sub-figure shows the used setup with the coordinate system. The origin of this setup is located at the first kinematic chain element, where the source is also located. The source is attached to the first kinematic element in such a way that the relative position of the source to the kinematic chain is always constant. In the following figures, the coordinate system has been omitted. The blue vectors represent the potential poses for the detected MV. The light green construction shows the ground truth. The red vector is a normalized position vector of the sensor which points to the potential pose in this direction. The sensor is mounted on the second bone. It is represented by a black rectangle with a vector in the sensitive direction. Subfigure (<b>b</b>) starts with a bone orientation in <span class="html-italic">x</span>-direction. For some iterations, the kinematic chain and the related position vector are shown. After 15 iterations, subfigure (<b>d</b>), the sensor pose matches a potential pose (ground truth) and the algorithm converges.</p>
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<p>Angular error in dependence of the iteration: The figure shows the behaviour of the angular error in dependence of the number of iteration. Different setups of length ratios are looked at. The legend shows the corresponding <span class="html-italic">Q</span> for each curve. All curves tend closer to zero with each iteration.</p>
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<p>Definition of the angles at a joint between two bones.</p>
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<p>The relation between <math display="inline"><semantics> <msub> <mi>ϕ</mi> <mrow> <mi mathvariant="normal">s</mi> <mo>,</mo> <mi mathvariant="normal">j</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>ϕ</mi> <mrow> <mi>max</mi> <mo>,</mo> <mi mathvariant="normal">j</mi> </mrow> </msub> </semantics></math> is represented for different values of Q. The plots are subdivided for different values of <span class="html-italic">Q</span>. In the ranges <math display="inline"><semantics> <mrow> <mn>0</mn> <mo>&lt;</mo> <mi>Q</mi> <mo>&lt;</mo> <mn>0.5</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>&gt;</mo> <mn>1</mn> </mrow> </semantics></math> there is a clear assignment, i.e., there is a unique bidirectional relation between <math display="inline"><semantics> <msub> <mi>ϕ</mi> <mrow> <mi>max</mi> <mo>,</mo> <mi mathvariant="normal">j</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>ϕ</mi> <mrow> <mi mathvariant="normal">s</mi> <mo>,</mo> <mi mathvariant="normal">j</mi> </mrow> </msub> </semantics></math>. However, between <math display="inline"><semantics> <mrow> <mn>0.5</mn> </mrow> </semantics></math> and 1 we observe a non-unique relation.</p>
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<p>For <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, the maximum angular error does not approach zero even after several iterations, i.e., the algorithm is non-convergent.</p>
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<p>Simulation overview: The simulation is divided in two sections. The upper (dark) part simulates the motion and the resulting field at the sensor. In the lower part (bright), the described algorithm is implemented and the pose is calculated.</p>
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<p>Simulation of a motion: All elements are in the <math display="inline"><semantics> <mrow> <mi>y</mi> <mi>z</mi> </mrow> </semantics></math>-plane. The 3D coil source is located in the origin. The first bone is aligned with the <span class="html-italic">z</span>-axis and its end represents the position of the joint. The second bone moves from <math display="inline"><semantics> <msup> <mn>90</mn> <mo>∘</mo> </msup> </semantics></math> to <math display="inline"><semantics> <mrow> <mo>−</mo> <msup> <mn>90</mn> <mo>∘</mo> </msup> </mrow> </semantics></math> with respect to the axis of the first bone.</p>
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<p>(<b>a</b>) shows both the estimated angle and the simulated one. The dark red line represents the simulation (ground truth) while the light red line is the estimation of the described algorithm. The latter is shifted 10° to enhance the clarity of the visualization. In (<b>b</b>), the difference between the simulation and the estimation is plotted. We observe an error signal which follows the angle of the movement.</p>
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<p>Upper figure: The built prototype consists of two PVC elements, connected to each other with a screw allowing for one degree of freedom. The 3D coil source is located at one end of the longer element. On the shorter element, a fluxgate magnetometer [<a href="#B24-sensors-24-06947" class="html-bibr">24</a>] is mounted. The illustration in the lower figure shows the assembly for a 30° position.</p>
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<p>The boxplots show the experimental results of the measured sensor angles for each of the seven given (ground-truth) joint angles. The box plots show the median, the first quartile, the third quartile, the minimum, the maximum, and several outliers for each joint angle.</p>
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<p>Possible angle ranges <math display="inline"><semantics> <mi>δ</mi> </semantics></math> for two different lengths of the second bone at a fixed length of the first bone (<span class="html-italic">Q</span> is higher for the left realization).</p>
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10 pages, 2792 KiB  
Article
Simultaneously Detecting the Power and Temperature of a Microwave Sensor via the Quantum Technique
by Zhenrong Zhang, Yuchong Jin, Jun Tang and Jun Liu
Micromachines 2024, 15(11), 1305; https://doi.org/10.3390/mi15111305 - 28 Oct 2024
Viewed by 444
Abstract
This study introduces a novel method for the simultaneous detection of microwave sensor power and temperature, leveraging nitrogen-vacancy (NV) centers as a robust quantum system. Through precise measurement of the optical detection magnetic resonance contrast in NV centers, the microwave power is accurately [...] Read more.
This study introduces a novel method for the simultaneous detection of microwave sensor power and temperature, leveraging nitrogen-vacancy (NV) centers as a robust quantum system. Through precise measurement of the optical detection magnetic resonance contrast in NV centers, the microwave power is accurately determined. Furthermore, the temperature of the sensor is obtained by monitoring the variations in zero-field splitting and thorough spectral analysis. This method enables the efficient real-time acquisition of synchronized data on both microwave power and temperature from the sensor, facilitating concurrent monitoring without the necessity of additional sensing devices. Finally, we verified that the magnetic sensitivity of the system is approximately 1.2 nT/Hz1/2, and the temperature sensitivity is around 0.38 mK/Hz1/2. The minimum resolution of microwave power is about 20 nW. The experimental results demonstrate that this quantum measurement technique provides stable and accurate data across a wide range of microwave power and temperature conditions. These findings indicate substantial potential for this technique in advanced applications such as aerospace, medical diagnostics, and high-frequency communications. Future studies will aim to extend the industrial applicability of this method by refining quantum control techniques within NV center systems. Full article
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<p>The energy level structure of the NV centers.</p>
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<p>Schematic diagram of the system.</p>
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<p>Test results of ODMR signals for samples as the input power varies. (<b>a</b>) Sensor 1, (<b>b</b>) Sensor 2, (<b>c</b>) Sensor 3.</p>
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<p>(<b>a</b>) The contrast variation of microwave sensors at different testing distances. (<b>b</b>) The frequency shift variation of D values at different distances.</p>
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<p>(<b>a</b>) The variation in radiation temperature over time for the three sensors. (<b>b</b>) The variation in contrast over time for the three sensors.</p>
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<p>Effects of different input powers on sensor heating.</p>
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<p>(<b>a</b>) The relation between contrast and microwave power. (<b>b</b>) The power spectral density plot of the system, where yellow represents magnetic sensitivity and green represents power spectral density.</p>
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14 pages, 9170 KiB  
Article
Design and Signal-Decoding Test Verification of Dual-Channel Round Inductosyn Decoding Circuit
by Jianyuan Wang, Zhuochen Hu, Jinbao Chen, Jian Wang and Yiling Zhou
Appl. Sci. 2024, 14(21), 9801; https://doi.org/10.3390/app14219801 - 27 Oct 2024
Viewed by 438
Abstract
During the in-orbit operation of spacecraft, permanent magnet synchronous motors are commonly used as power sources in the drive mechanisms of solar panel arrays and the high-precision servo control systems based on satellites. Apart from the performance of the motors themselves and the [...] Read more.
During the in-orbit operation of spacecraft, permanent magnet synchronous motors are commonly used as power sources in the drive mechanisms of solar panel arrays and the high-precision servo control systems based on satellites. Apart from the performance of the motors themselves and the software control algorithms, the accuracy of the entire control system is also influenced by angle sensors used to detect the rotor position of the motors. As a high-precision angular measuring instrument, the inductosyn possesses excellent environmental adaptability and long service life. Effectively utilizing the inductosyn can greatly enhance the performance of servo control systems. To address the complexity of the decoding process for dual-channel round inductosyn-to-digital converters, this paper proposes a design of the decoding circuit for dual-channel round inductosyn based on the parallel-synchronization decoding method of two AD2S1210 Resolver-to-Digital Converter (RDC) decoding chips. The decoding circuit amplifies the excitation signal outputted by the AD2S1210 for driving the round inductosyn, and processes the sine and cosine induction signals outputted by the round inductosyn through filtering, amplification, and other methods; by using analog circuitry, the output signals of the dual-channel round inductosyn are processed to meet the input requirements of the AD2S1210. Finally, through both the Multisim (circuit simulation software Version 14.1) simulation and physical experiments, it was verified that the decoding circuit designed in this paper could process the input/output signals of the dual-channel round inductosyn and AD2S1210, and successfully decoded the analog induction signal of the round inductosyn. This greatly simplifies the signal decoding process for the dual-channel round inductosyn. Full article
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<p>Diagram of the dual-channel round inductosyn.</p>
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<p>Electrical schematic diagram of the dual-channel round inductosyn.</p>
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<p>Overall hardware connection diagram of the decoding circuit.</p>
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<p>Excitation signal power amplification circuit schematic.</p>
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<p>Schematic diagram of the induced-signal processing circuit.</p>
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<p>Power-amplifier circuit—Multisim simulation circuit.</p>
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<p>Excitation-signal power-amplifier circuit—Multisim simulation waveform.</p>
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<p>Induced-signal processing circuit—Multisim simulation circuit.</p>
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<p>Induced-signal processing circuit—Multisim simulation waveform.</p>
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<p>Induced-signal amplification and filtering circuit phase–frequency characteristics curve.</p>
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<p>Round inductosyn decoding-circuit experimental testing platform: (<b>a</b>) excitation-signal input; (<b>b</b>) AD2S1210 excitation-signal power-amplification circuit; (<b>c</b>) oscilloscope results.</p>
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<p>Waveforms before and after the amplification of the excitation signal (CH1 is the signal after the amplification of excitation, and CH2 is the signal before the amplification of excitation).</p>
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<p>Coarse-channel SIN-induced signal processing result (CH1 is the output signal, and CH2 is the input signal): (<b>a</b>) input signal amplitude; (<b>b</b>) output signal amplitude.</p>
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<p>Fine-channel SIN-induced signal processing result (CH1 is the output signal, and CH2 is the input signal): (<b>a</b>) input signal amplitude; (<b>b</b>) output signal amplitude.</p>
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14 pages, 4286 KiB  
Article
Performing Magnetic Boundary Modulation to Broaden the Operational Wind Speed Range of a Piezoelectric Cantilever-Type Wind Energy Harvester
by Feng-Rui Liu, Lin-Chuan Zhao, Ge Yan, Wen-Ming Zhang, Zhi-Yuan Wu and Xiao-Long Zhang
Micromachines 2024, 15(11), 1286; https://doi.org/10.3390/mi15111286 - 23 Oct 2024
Viewed by 507
Abstract
Small piezoelectric wind-induced vibration energy harvesting systems have been widely studied to provide long-term sustainable green energy for a large number of wireless sensor network nodes. Piezoelectric materials are commonly utilized as transducers because of their ability to produce high output power density [...] Read more.
Small piezoelectric wind-induced vibration energy harvesting systems have been widely studied to provide long-term sustainable green energy for a large number of wireless sensor network nodes. Piezoelectric materials are commonly utilized as transducers because of their ability to produce high output power density and their simple structure, but they are prone to material fracture under large deformation conditions. This paper proposes a magnetic boundary modulated stepped beam wind energy harvesting system. On the one hand, the design incorporates a composite stepped beam with both high- and low-stiffness components, allowing for efficient vibration and electrical energy output at low wind speeds. On the other hand, a magnetic boundary constraint mechanism is constructed to prevent the piezoelectric sheet from breaking due to excessive deformation. Experiments have confirmed that the effective operational wind speed range of the harvester with magnetic boundary constraints is doubled compared to that of the harvester without magnetic boundary constraints. Furthermore, by adjusting the magnetic pole spacing of the boundary, the harvesting system can generate sufficiently high output power under high-wind-speed conditions without damaging the piezoelectric sheet. Full article
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<p>(<b>a</b>) A schematic diagram of the wind energy harvester with a magnetic boundary modulated stepped beam; (<b>b</b>) the experimental setup.</p>
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<p>(<b>a</b>) A schematic diagram of a piezoelectric wind energy harvester with a homogeneous cantilever beam (the thicknesses of the cantilever beams are 0.3 mm and 0.6 mm, respectively); (<b>b</b>) the average peak voltages and (<b>c</b>) power of the two corresponding wind energy harvesters.</p>
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<p>The output voltage of the wind energy harvester with three different magnetic boundary distances in the wind speed range of 0~10 m/s. The green curve refers to the peak voltage of the stepped beam without the magnets attached.</p>
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<p>(<b>a</b>) The output voltage and (<b>b</b>) power growth rate of the energy harvester under three different magnet distances (magnet thickness of 1 mm); (<b>c</b>,<b>d</b>) the influence of external resistance on the output peak voltage and power at a 4 m/s wind speed.</p>
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<p>Relationship between magnetic repulsion and distance under different magnetic pole spacing conditions. (<b>a</b>) Magnetic pole spacing description; (<b>b</b>) magnetic force curves with different magnetic pole spacings.</p>
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<p>(<b>a</b>) Experimental and (<b>b</b>) simulated voltage responses of wind energy harvester based on three different magnetic pole spacings.</p>
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<p>Deformations of a magnetically constrained homogeneous beam (<math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>0.3</mn> <mrow> <mo> </mo> <mi>mm</mi> </mrow> </mrow> </semantics></math>) and a stepped beam when subjected to different lateral displacements. (<b>a</b>) A homogeneous beam (<math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>0.3</mn> <mrow> <mo> </mo> <mi>mm</mi> </mrow> </mrow> </semantics></math>); (<b>b</b>) a stepped beam.</p>
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<p>(<b>a</b>) The frequency of the wind energy harvester without a magnetic boundary and with three different magnetic spacings. (<b>b</b>) A schematic diagram of the cantilever beam tip rotated by an angle.</p>
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<p>(<b>a</b>) The output voltage and (<b>b</b>) power of wind energy harvesters with different magnet thicknesses. (<b>c</b>) The output voltage and (<b>e</b>) power of the wind energy harvesters. The blue and purple curves represent the wind speed–voltage relationship with and without magnetic boundary constraints, respectively. (<b>d</b>) The adjusted magnetic pole spacing at different wind speeds. (<b>f</b>) The positions of the two magnets at the magnetic constraint boundary are adjusted by means of the electric sliding rails.</p>
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15 pages, 5714 KiB  
Article
Steel Wire Rope Damage Width Identification Method Based on Residual Networks and Multi-Channel Feature Fusion
by Yan Peng, Junde Liu, Junjie He, Yongjun Qiu, Xie Liu, Le Chen, Fengfeng Yang, Bulong Chen, Bin Tang and Yuhan Wang
Machines 2024, 12(11), 744; https://doi.org/10.3390/machines12110744 - 22 Oct 2024
Viewed by 345
Abstract
In order to ensure the safety of steel wire rope in various application scenarios, it is particularly important to quantitatively detect the defects of wire rope. Complex detection conditions affect the detection efficiency of wire rope. Therefore, based on the magnetic flux leakage [...] Read more.
In order to ensure the safety of steel wire rope in various application scenarios, it is particularly important to quantitatively detect the defects of wire rope. Complex detection conditions affect the detection efficiency of wire rope. Therefore, based on the magnetic flux leakage method, this study proposes a method to identify the damage width of steel wire rope for multi-channel fusion of a Hall sensor array. Firstly, the Hall sensor array is used to capture the magnetic flux leakage data of steel wire rope; then, continuous wavelet transform is used to decompose the original data, and moving average filtering is used to denoise each component; the denoised components are merged and converted into a time spectrum, and the time spectrum is classified by ResNet50 image classification model to realize the detection of wire rope damage width. According to the dataset used in this study, the results show that the proposed method performs best in the mainstream noise reduction model; detection accuracy for the width of damage in steel wire ropes is 97%, which proves that the proposed method is effective and feasible. Full article
(This article belongs to the Section Machines Testing and Maintenance)
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<p>Detector structure and voltage regulating circuit. (<b>a</b>) Detector structure, (<b>b</b>) Circuit for voltage regulating.</p>
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<p>Diagram of the device in operation and example of wire rope damage. (<b>a</b>) Device scanning wire rope. (<b>b</b>) Defect on wire rope. (<b>c</b>) Defects of different width on wire rope.</p>
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<p>Damage width data of steel wire ropes collected from 8 channels. (<b>a</b>–<b>h</b>) show the data collected by 8 sensors separately.</p>
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<p>The results after applying moving average filtering to each wavelet component. (<b>a</b>–<b>h</b>) show separately the 8 wavelet components by using moving average filtering.</p>
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<p>The results after data denoised and characteristic fusion. (<b>a</b>–<b>h</b>) show the processed data by different sensors.</p>
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<p>The network structure of ResNet50.</p>
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<p>Spectrograms under different steel wire rope damage widths.</p>
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<p>Performance results of mainstream models.</p>
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<p>Confusion matrix of prediction accuracy for different damage widths.</p>
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16 pages, 5483 KiB  
Article
Periodically Sinusoidal Magnetic Stray Field and Improved Film Quality of CoMnP Micro-Magnet Arrays for Magnetic Encoders by Electrodeposition with the Assistance of Ultrasound
by Geng-Hua Xu, Jung-Yen Chang, Hsiang-Chun Hsueh and Chiao-Chi Lin
Coatings 2024, 14(10), 1340; https://doi.org/10.3390/coatings14101340 - 21 Oct 2024
Viewed by 443
Abstract
Magnetic encoders are composed of a magnetic sensor, a hard magnetic recording medium and a signal processing circuit. Electrodeposited micro-magnet arrays produced by micro-fabrication are promising recording media for enhancing encoder performance. However, two major engineering issues have yet to be resolved. One [...] Read more.
Magnetic encoders are composed of a magnetic sensor, a hard magnetic recording medium and a signal processing circuit. Electrodeposited micro-magnet arrays produced by micro-fabrication are promising recording media for enhancing encoder performance. However, two major engineering issues have yet to be resolved. One issue is an unknown relationship between the feature sizes of micro-magnet arrays and their stray field shapes, and another issue is the formation of micro-cracks due to the built-up residual stresses of thick films. In this study, we investigated the effect of feature sizes on the emanating stray field shape at various observation heights. Feature sizes include two height (i.e., film thickness) values of 78 μm and 176 μm, and both width and spacing with three values of 360 μm, 520 μm and 680 μm. Ultrasound-assisted agitation was adopted for investigating the effects of electrodepositing current densities on the film crystalline microstructures and magnetic properties. Narrowing the width of micro-magnets helps the stray field to become a sinusoidal profile. Thinner film, i.e., thickness 78 μm in this study, supports the stray field taking on a sinusoidal profile. Moreover, the spacing between the micro-magnets plays a key factor in determining the shape of the stray field. Under 37 kHz/156 W ultrasound agitation, the optimal hard magnetic properties of electrodeposited CoMnP films are residual magnetization 2329 G and coercivity 968 Oe by a current density of 10.0 mA/cm2. Ultrasound-assisted electrodeposition, along with duly designed feature size, facilitates the micro-magnet arrays having a sinusoidal stray field shape using high quality films. Furthermore, for the first time, a systematic understanding of feature-size-dependent stray field evolution and improved polarities quality has been realized for the recording media of sinusoidal magnetic encoders. Full article
(This article belongs to the Special Issue Functional Coatings and Surface Science for Precision Engineering)
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<p>Schematic diagrams of three main parts of the present work: (<b>a</b>) The experimental process for the studies of micro-magnet feature sizes by micro-fabrication and electrodepositing processes using a low-carbon steel substrate with a thickness of 4.0 mm. (<b>b</b>) Studies of electrodepositing current density under ultrasound-assisted electrodeposition using a copper substrate with a thickness of 0.5 mm for investigating film quality and materials properties. (<b>c</b>) Integration and optimization of the techniques from (<b>a</b>,<b>b</b>) using a low-carbon steel substrate to realize fine pole pitch micro-magnet arrays with mitigated surface micro-cracks having a sinusoidal stray field.</p>
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<p>Setups for magnetization and magnetic field measurement: (<b>a</b>) Capacitive discharge pulse magnetizer connecting with a C-shaped magnetizing head for magnetization. The scheme on the right indicates the applied magnetic field (Happ) generated from the two yokes, pointing to the OP direction of the sample. Direction of Happ is represented by the green arrows. (<b>b</b>) A photograph showing the setup for measuring magnetic flux density as a function of spatial distribution using a Hall sensor. (<b>c</b>) A schematic illustration of the magnetic field profile measurement: the magnetic field strength in both the OP and IP directions is measured at 20 µm intervals, in a stepwise manner.</p>
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<p>Top view SEM images of the micro-magnet arrays in the format of gratings with different micro-magnet width (W) and spacing (D): (<b>a</b>) W360-D360; (<b>b</b>) W360-D520; (<b>c</b>) W360-D680; (<b>d</b>) W520-D360; (<b>e</b>) W680-D360. (<b>f</b>) Optical image showing a magnetic field viewing card placed on a W680-D360 sample after magnetization. On the bottom of the image a portion of the sample appeared.</p>
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<p>Measurement results of the stray field profiles of (<b>a</b>) W360-D360; (<b>b</b>) W360-D520; (<b>c</b>) W360-D680; (<b>d</b>) W520-D360; (<b>e</b>) W680-D360 samples with 176 μm height (T-series) micro-magnets. The insets show the enlarged portions of the measurement results.</p>
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<p>Measurement results of the stray field profiles of (<b>a</b>) W360-D360; (<b>b</b>) W360-D520; (<b>c</b>) W360-D680; (<b>d</b>) W520-D360; (<b>e</b>) W680-D360 samples with 78 μm height (F-series) micro-magnets. The insets show the enlarged portions of the measurement results.</p>
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<p>SEM images showing the morphologies of CoMnP hard magnetic films by ultrasound-assisted electrodeposition (denoted as U) at various depositing current density: (<b>a</b>) 5.0 mA/cm<sup>2</sup>; (<b>b</b>) 7.5 mA/cm<sup>2</sup>; (<b>c</b>) 10.0 mA/cm<sup>2</sup>; (<b>d</b>) 12.5 mA/cm<sup>2</sup>; and by conventional electrodeposition (denoted as P) at various depositing current density: (<b>e</b>) 5.0 mA/cm<sup>2</sup>; (<b>f</b>) 7.5 mA/cm<sup>2</sup>; (<b>g</b>) 10.0 mA/cm<sup>2</sup>; (<b>h</b>) 12.5 mA/cm<sup>2</sup>.</p>
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<p>(<b>a</b>) X-ray diffraction patterns of CoMnP hard magnetic films by ultrasound-assisted electrodeposition (denoted as U) at various depositing current densities and by conventional electrodeposition (denoted as P) at 5.0 mA/cm<sup>2</sup> current density; (<b>b</b>) JCPDS (Joint Committee on Powder Diffraction Standards) card information of crystalline cobalt.</p>
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<p>Hysteresis curves (normalized) measured in the OP and IP directions for CoMnP hard magnetic films by ultrasound-assisted electrodeposition under different electrodepositing current density: (<b>a</b>) 5.0 mA/cm<sup>2</sup>; (<b>b</b>) 7.5 mA/cm<sup>2</sup>; (<b>c</b>) 10.0 mA/cm<sup>2</sup>; (<b>d</b>) 12.5 mA/cm<sup>2</sup>.</p>
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<p>Magnetic measurement results of the second quadrant B-H loops acquired in the (<b>a</b>) IP direction; and (<b>b</b>) OP direction for samples by ultrasound-assisted electrodeposition (denoted as U) at various depositing current density and by conventional electrodeposition (denoted as P) at 5.0 mA/cm<sup>2</sup> current density.</p>
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<p>Top view SEM images of the micro-magnet arrays by the combined air-bubbling and ultrasound-assisted agitation electrodeposition, in different magnification: (<b>a</b>) 20×; (<b>b</b>) 100×; (<b>c</b>) 800×; (<b>d</b>) 1500×. The zoomed-in areas are denoted by white blocks.</p>
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<p>(<b>a</b>) Measurement results of the stray field profiles of W200-D360 sample. The inset shows an enlarged portion of the measurement results; (<b>b</b>) Amplitude of OP fields as a function of observation height for different feature sizes of micro-magnet arrays.</p>
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14 pages, 4403 KiB  
Article
Temperature Compensation Method for Tunnel Magnetoresistance Micro-Magnetic Sensors Through Reference Magnetic Field
by Tao Kuai, Qingfa Du, Jiafei Hu, Shilong Shi, Peisen Li, Dixiang Chen and Mengchun Pan
Micromachines 2024, 15(10), 1271; https://doi.org/10.3390/mi15101271 - 20 Oct 2024
Viewed by 518
Abstract
The sensitivity of Tunnel Magnetoresistance (TMR) sensors is characterized by significant temperature drift and poor sensitivity drift repeatability, which severely impairs measurement accuracy. Conventional temperature compensation techniques are often hindered by low compensation precision, inadequate real-time performance, and an inability to effectively address [...] Read more.
The sensitivity of Tunnel Magnetoresistance (TMR) sensors is characterized by significant temperature drift and poor sensitivity drift repeatability, which severely impairs measurement accuracy. Conventional temperature compensation techniques are often hindered by low compensation precision, inadequate real-time performance, and an inability to effectively address the issue of poor repeatability in temperature drift characteristics. To overcome these challenges, this paper introduces a novel method for suppressing temperature drift in TMR sensors. In this method, an alternating reference magnetic field is applied to TMR sensors, and the output amplitude at the frequency of the reference magnetic field is calculated to compensate the sensitivity temperature drift in real time. Temperature characteristic tests were conducted in a non-magnetic temperature test chamber, and the results revealed that the proposed method significantly reduced the TMR sensitivity drift coefficient from 985.39 ppm/°C to 59.08 ppm/°C. Additionally, the repeatability of sensitivity temperature characteristic curves was enhanced, with a reduction in root mean square error from 0.84 to 0.21. This approach effectively mitigates temperature-induced sensitivity drift without necessitating the use of a temperature sensor, and has the advantages of real-time performance and repeatability, providing a new approach for the high-precision temperature drift suppression of TMR. Full article
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<p>Structural diagram of TMR micro-magnetic sensor: (<b>a</b>) TMR micro-magnetic sensor; (<b>b</b>) magnetic resistor; (<b>c</b>) magnetic tunnel junction.</p>
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<p>Temperature compensation principle of TMR magnetic sensor based on AC reference magnetic source.</p>
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<p>Flow chart of AC reference magnetic source compensation method.</p>
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<p>TMR magnetic sensor sensitivity temperature drift test system.</p>
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<p>Temperature test diagram of TMR micro-magnetic sensor: (<b>a</b>) non-magnetic temperature box; (<b>b</b>) TMR magnetic sensor system.</p>
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<p>Schematic diagram of the process for achieving a zero magnetic field environment around the TMR sensor. (<b>a</b>) Schematic diagram of the devices that achieve a zero magnetic field. (<b>b</b>) Schematic diagram of the process to achieve a zero magnetic field.</p>
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<p>Temperature characteristic curve of the sensitivity of the TMR sensor.</p>
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<p>Testing curves of AC sensitivity and DC sensitivity. (<b>a</b>) AC and DC sensitivity–temperature characteristic curves in the range of 0–80 °C. (<b>b</b>) AC and DC sensitivity–temperature characteristic curves in the range of 0–120 °C.</p>
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<p>The different sensitivity drift curves in the range of 0–80 °C and the curves obtained by temperature compensation of the AC reference magnetic source.</p>
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<p>Comparison of the compensation results of different temperature compensation methods. (<b>a</b>) Compensation results of the sensitivity curves for the first experiment between the conventional method and the proposed method. (<b>b</b>) Compensation results of the sensitivity curves of the second experiment for the conventional method and the proposed method. (<b>c</b>) Compensation results of the sensitivity curves for the third experiment between the conventional method and the proposed method.</p>
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14 pages, 1631 KiB  
Review
Targeting Sodium in Heart Failure
by Filippos Triposkiadis, Andrew Xanthopoulos and John Skoularigis
J. Pers. Med. 2024, 14(10), 1064; https://doi.org/10.3390/jpm14101064 - 17 Oct 2024
Viewed by 763
Abstract
A dominant event determining the course of heart failure (HF) includes the disruption of the delicate sodium (Na+) and water balance leading to (Na+) and water retention and edema formation. Although incomplete decongestion adversely affects outcomes, it is unknown [...] Read more.
A dominant event determining the course of heart failure (HF) includes the disruption of the delicate sodium (Na+) and water balance leading to (Na+) and water retention and edema formation. Although incomplete decongestion adversely affects outcomes, it is unknown whether interventions directly targeting (Na+), such as strict dietary (Na+) restriction, intravenous hypertonic saline, and diuretics, reverse this effect. As a result, it is imperative to implement (Na+)-targeting interventions in selected HF patients with established congestion on top of quadruple therapy with angiotensin receptor neprilysin inhibitor, β-adrenergic receptor blocker, mineralocorticoid receptor antagonist, and sodium glucose cotransporter 2 inhibitor, which dramatically improves outcomes. The limited effectiveness of (Na+)-targeting treatments may be partly due to the fact that the current metrics of HF severity have a limited capacity of foreseeing and averting episodes of congestion and guiding (Na+)-targeting treatments, which often leads to dysnatremias, adversely affecting outcomes. Recent evidence suggests that spot urinary sodium measurements may be used as a guide to monitor (Na+)-targeting interventions both in chronic and acute HF. Further, the classical (2)-compartment model of (Na+) storage has been displaced by the (3)-compartment model emphasizing the non-osmotic accumulation of (Na+), chiefly in the skin. 23(Na+) magnetic resonance imaging (MRI) enables the accurate and reliable quantification of tissue (Na+). Another promising approach enabling tissue (Na+) monitoring is based on wearable devices employing ion-selective electrodes for electrolyte detection, including (Na+) and (Cl). Undoubtably, further studies using 23(Na+)-MRI technology and wearable sensors are required to learn more about the clinical significance of tissue (Na+) storage and (Na+)-related mechanisms of morbidity and mortality in HF. Full article
(This article belongs to the Section Disease Biomarker)
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<p>The (3)-compartment model. Sodium is stored in tissues (e.g., skin or muscles) in addition to the intravascular and interstitial compartments. The third compartment sodium is osmotically inactive and can be either returned to the intravascular compartment through lymphatic vessels or excreted through the sweat. (This figure is adapted from Ref. [<a href="#B30-jpm-14-01064" class="html-bibr">30</a>]. Polychronopoulou E, Braconnier P, and Burnier M (2019) <span class="html-italic">New Insights on the Role of Sodium in the Physiological Regulation of Blood Pressure and Development of Hypertension</span>. Front. Cardiovasc. Med. 6:136.)</p>
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<p>Mechanisms of damage to the glycocalyx induced by salt, resulting in hypertension and cardiovascular disease. High salt intake impairs glycocalyx and induces inflammation, oxidative stress, and immune activation, leading to the development of hypertension and cardiovascular disease. ROS, reactive oxygen species; ENaC, epithelial sodium channel; NADPH, reduced nicotinamide adenine dinucleotide phosphate; NLRP3, NLR Family Pyrin Domain Containing 3; NF-Kb, Nuclear factor kappa-light-chain-enhancer of activated B cells; IsoLGs, Islovuglandins; TNF-α, tumor necrosis factor alpha; IFN-γ, Interferon gamma. (This figure is adapted from Ref. [<a href="#B42-jpm-14-01064" class="html-bibr">42</a>]. Sembajwe, L.F.; Ssekandi, A.M.; Namaganda, A.; Muwonge, H.; Kasolo, J.N.; Kalyesubula, R.; Nakimuli, A.; Naome, M.; Patel, K.P.; Masenga, S.K.; et al. <span class="html-italic">Glycocalyx–Sodium Interaction in Vascular Endothelium</span>. Nutrients 2023, 15, 2873).</p>
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<p>Mechanisms of diuretic resistance and hypertonic saline (HS). The lower panel depicts the apical membrane of the tubular cells of the thick ascending limb of the Henle loop (<b>A</b>) under physiological conditions, the Na<sup>+</sup>/K<sup>+</sup>/Cl<sup>−</sup> cotransporter 2 (NKCC2), which is blocked by loop diuretics, contributes to the reabsorption of up to 25% of filtered sodium. (<b>B</b>) In cases with diuretic resistance, sodium reabsorption increases in the different segments of the nephron, resulting in lower concentration of sodium in the tubular lumen of the Henle loop and, therefore, less sodium excretion in urine and less diuresis. (<b>C</b>) With the use of HS, sodium concentration increases in the tubular lumen, potentiating the action of loop diuretics and attenuating diuretic resistance. HS: hypertonic saline. (This figure is adapted from Ref. [<a href="#B58-jpm-14-01064" class="html-bibr">58</a>]. <span class="html-italic">Hypertonic Saline Solution: How, Why, and for Whom?</span> Ciro Mancilha Murad1 and Fabiana Goulart Marcondes-Braga. ABC Heart Fail Cardiomyop. 2023; 3(2):e20230078).</p>
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<p>Disease-modifying treatment with renin–angiotensin–aldosterone inhibitors (angiotensin-converting enzyme inhibitors/angiotensin receptor blockers/angiotensin receptor–neprilysin inhibitors/mineralocorticoid receptor antagonists), B-adrenergic blockers, and especially sodium–glucose transporter 2 inhibitors, which additionally inhibit proximal tubule sodium (Na<sup>+</sup>) reabsorption, is the cornerstone for the prevention and treatment of (Na<sup>+</sup>) retention leading to congestion in HF. Interventions directly targeting (Na<sup>+</sup>) such as strict dietary sodium restriction, intravenous hypertonic saline (IV saline), and diuretics should be additionally implemented in selected patients with florid congestion to alleviate symptoms as they are not devoid of adverse effects and their effect on outcome is doubtful.</p>
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17 pages, 8511 KiB  
Article
An Improved Rotor Position and Speed Estimation Method for PMSM with Hall Sensors
by Wei Li, Yang Zhang and Lixun Zhu
Processes 2024, 12(10), 2267; https://doi.org/10.3390/pr12102267 - 17 Oct 2024
Viewed by 490
Abstract
Hall sensors are commonly used to detect rotor position information in permanent magnet synchronous motors (PMSM). However, due to the low resolution of Hall sensors, the speed signal directly collected by the motor during rotation contains significant random errors and noise. Using this [...] Read more.
Hall sensors are commonly used to detect rotor position information in permanent magnet synchronous motors (PMSM). However, due to the low resolution of Hall sensors, the speed signal directly collected by the motor during rotation contains significant random errors and noise. Using this signal directly may increase the error and jitter in the rotor position estimation, thereby affecting the control performance of the system. This paper proposes a novel position estimation method that combines the Kalman filter and phase-locked loop (PLL) to precisely obtain the rotor position. In the proposed method, to suppress the noise and errors of the speed signal, the state and observation equations are established using the Kalman filter algorithm. Additionally, to enhance the precision of the rotor position estimation, the position obtained by integrating the speed from the Kalman filter is processed using the PLL algorithm, and the PLL algorithm parameters are dynamically corrected. To verify the feasibility and accuracy of the proposed speed and position estimation method, simulations and experiments are performed, respectively. By adopting the proposed method, the speed error is reduced by 30% to 50%, and the current harmonic component is reduced by about 48.7%, which effectively improves the accuracy of the rotor position estimation. Full article
(This article belongs to the Section Automation Control Systems)
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<p>Installation position of Hall sensors.</p>
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<p>Hall sensors’ output signals.</p>
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<p>Gradual compensation method.</p>
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<p>The overall diagram of the proposed method.</p>
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<p>Block diagram of Kalman filter.</p>
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<p>Principle block diagram of the optimized PLL.</p>
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<p>The PLL algorithm Bode diagram.</p>
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<p>PMSM id = 0 control system block diagram.</p>
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<p>Comparison of speed signal processed by different methods.</p>
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<p>(<b>a</b>) Position waveform from the traditional position estimation algorithm. (<b>b</b>) Position waveform estimated by the proposed method.</p>
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<p>Components of the experimental platform.</p>
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<p>Speed of the motor in the regulated state. (<b>a</b>) Method 1. (<b>b</b>) Method 2. (<b>c</b>) Method 3.</p>
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<p>Estimation error of the speed signal when the motor operates steadily at a speed of 420 rpm. (<b>a</b>) Method 1. (<b>b</b>) Method 2. (<b>c</b>) Method 3.</p>
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<p>Estimation error of the speed signal when the motor operates steadily at a speed of 1680 rpm. (<b>a</b>) Method 1. (<b>b</b>) Method 2. (<b>c</b>) Method 3.</p>
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<p>Comparison of maximum speed errors of motors operating at different speeds.</p>
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<p>Comparison of the motor speed estimation for the proposed method before loading (<b>a</b>) and after loading (<b>b</b>).</p>
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<p>Comparison of estimated position and actual position waveform. (<b>a</b>) Method 1. (<b>b</b>) Method 2. (<b>c</b>) Method 3.</p>
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<p>Comparison of position waveform errors for three methods.</p>
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<p>A-phase current waveform during motor operation. (<b>a</b>) Method 1. (<b>b</b>) Method 2. (<b>c</b>) Method 3.</p>
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18 pages, 15800 KiB  
Article
Research on Precise Attitude Measurement Technology for Satellite Extension Booms Based on the Star Tracker
by Peng Sang, Wenbo Liu, Yang Cao, Hongbo Xue and Baoquan Li
Sensors 2024, 24(20), 6671; https://doi.org/10.3390/s24206671 - 16 Oct 2024
Viewed by 512
Abstract
This paper reports the successful application of a self-developed, miniaturized, low-power nano-star tracker for precise attitude measurement of a 5-m-long satellite extension boom. Such extension booms are widely used in space science missions to extend and support payloads like magnetometers. The nano-star tracker, [...] Read more.
This paper reports the successful application of a self-developed, miniaturized, low-power nano-star tracker for precise attitude measurement of a 5-m-long satellite extension boom. Such extension booms are widely used in space science missions to extend and support payloads like magnetometers. The nano-star tracker, based on a CMOS image sensor, weighs 150 g (including the baffle), has a total power consumption of approximately 0.85 W, and achieves a pointing accuracy of about 5 arcseconds. It is paired with a low-cost, commercial lens and utilizes automated calibration techniques for measurement correction of the collected data. This system has been successfully applied to the precise attitude measurement of the 5-m magnetometer boom on the Chinese Advanced Space Technology Demonstration Satellite (SATech-01). Analysis of the in-orbit measurement data shows that within shadowed regions, the extension boom remains stable relative to the satellite, with a standard deviation of 30′′ (1σ). The average Euler angles for the “X-Y-Z” rotation sequence from the extension boom to the satellite are [−89.49°, 0.08°, 90.11°]. In the transition zone from shadow to sunlight, influenced by vibrations and thermal factors during satellite attitude adjustments, the maximum angular fluctuation of the extension boom relative to the satellite is approximately ±2°. These data and the accuracy of the measurements can effectively correct magnetic field vector measurements. Full article
(This article belongs to the Section Remote Sensors)
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<p>Self-developed nano-star tracker.</p>
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<p>Electronic functional block diagram of the star tracker.</p>
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<p>Photograph of a star tracker circuit board.</p>
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<p>Schematic diagram of the multi-tasking pipeline of the star tracker.</p>
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<p>Application layer software thread of the star tracker.</p>
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<p>Composition of automatic calibration system for star tracker.</p>
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<p>Actual picture of the star tracker calibration device: (<b>a</b>) overall view; (<b>b</b>) working state.</p>
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<p>The process diagram of residual calibration: (<b>a</b>) image of the marked star points; (<b>b</b>) calibration residual diagram.</p>
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<p>Static multi-satellite simulator experimental test diagram: (<b>a</b>) the static multi-satellite simulation test device; (<b>b</b>) the test results.</p>
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<p>Ground test diagram: (<b>a</b>) the joint field stargazing experiment device of the probe assembly; (<b>b</b>) measurement results of the star tracker, where Q1, Q2, Q3, and Q4 represent the tracker’s output attitude quaternions.</p>
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<p>Measured star point image data of 100 ms exposure of star tracker—“Casiopeia”: (<b>a</b>) image collected by the star sensor; (<b>b</b>) the star point data analyzed in the software, which corresponds one-to-one with the identified stars; (<b>c</b>) starry sky image of the “Cassiopeia” position in the Stellarium software (v1.28).</p>
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<p>Remanence test experiment.</p>
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<p>Assembly diagram of the star tracker on the Chinese Advanced Space Technology Demonstration Satellite: (<b>a</b>) the probe assembly on the extension boom, with the red light shield covering the precise attitude measurement component of the nanosatellite star tracker developed in this study; (<b>b</b>) assembly diagram of the star tracker and extension rod structure on the entire satellite; (<b>c</b>) the coordinate system relationships of the satellite’s extension boom, where the satellite platform’s boom base is defined as the <span class="html-italic">XY</span> plane and the boom’s extension direction is defined as the <span class="html-italic">Z</span>-axis.</p>
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<p>Conversion Euler angles from NST system by the star tracker to satellite system, the time range of the data in the figure is UTC: 13 February 2023 9:09:10 to 12:05:50.</p>
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<p>Quaternions collected by the star tracker: (<b>a</b>) data sourced from the star tracker mounted on the satellite body; (<b>b</b>) data sourced from the star tracker on the extension boom. The time range of the data in the figure is UTC: 13 February 2023 9:09:10 to 12:05:50.</p>
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18 pages, 8772 KiB  
Perspective
Perspective on the Development and Integration of Hydrogen Sensors for Fuel Cell Control
by Michael Hauck, Christopher Bickmann, Annika Morgenstern, Nicolas Nagel, Christoph R. Meinecke, Alexander Schade, Rania Tafat, Lucas Viriato, Harald Kuhn, Georgeta Salvan, Daniel Schondelmaier, Tino Ullrich, Thomas von Unwerth and Stefan Streif
Energies 2024, 17(20), 5158; https://doi.org/10.3390/en17205158 - 16 Oct 2024
Viewed by 605
Abstract
The measurement of hydrogen concentration in fuel cell systems is an important prerequisite for the development of a control strategy to enhance system performance, reduce purge losses and minimize fuel cell aging effects. In this perspective paper, the working principles of hydrogen sensors [...] Read more.
The measurement of hydrogen concentration in fuel cell systems is an important prerequisite for the development of a control strategy to enhance system performance, reduce purge losses and minimize fuel cell aging effects. In this perspective paper, the working principles of hydrogen sensors are analyzed and their requirements for hydrogen control in fuel cell systems are critically discussed. The wide measurement range, absence of oxygen, high humidity and limited space turn out to be most limiting. A perspective on the development of hydrogen sensors based on palladium as a gas-sensitive metal and based on the organic magnetic field effect in organic light-emitting devices is presented. The design of a test chamber, where the sensor response can easily be analyzed under fuel cell-like conditions is proposed. This allows the generation of practical knowledge for further sensor development. The presented sensors could be integrated into the end plate to measure the hydrogen concentration at the anode in- and outlet. Further miniaturization is necessary to integrate them into the flow field of the fuel cell to avoid fuel starvation in each single cell. Compressed sensing methods are used for more efficient data analysis. By using a dynamical sensor model, control algorithms are applied with high frequency to control the hydrogen concentration, the purge process, and the recirculation pump. Full article
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<p>(<b>a</b>) Simplified illustration of the recirculating gas mixture within the anode circulation system, connected to the tank and purge valve. (<b>b</b>) Development of hydrogen and nitrogen concentrations in a fuel cell stack and the resulting stack voltage [<a href="#B9-energies-17-05158" class="html-bibr">9</a>].</p>
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<p>(<b>a</b>) Model of a sensor prototype. Ti/Pd thin-film structures are used as the sensor element. Contact pads made of Au are required for the electrical connection to the circuit board. (<b>a.1</b>) Schematic representation of the working principle, according to which the H atoms diffuse into the metal lattice of the palladium, where they reduce the electrical conductivity of the Pd due to electron scattering. (<b>b</b>) Device layer stack with an organic active material and a structured bottom electrode to generate several (here, six) sensors on one chip. (<b>b.1</b>) Schematic drawing of the hyperfine interaction. The precision of the spins around the hyperfine field is altered with the application of an external magnetic field (if B<sub>ext</sub> &gt; B<sub>hyp</sub>). Hence, the precision of the spins aligns with the external magnetic field, leading to a change in the current of the device.</p>
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<p>Side view of the H<sub>2</sub> test chamber and the integration of the (1) palladium-based sensor, (2) the reference sensor BME680 (Bosch) and (3) the organic-based sensor (based on organic TADF materials) with light emission at a wavelength of ~440 nm. The gas is introduced into the gas chamber during the measurement.</p>
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<p>Demonstration of the working principle of both sensor types. (<b>a</b>) H<sub>2</sub>-Gas response for the organic material-based sensor, where 4-vol-% H<sub>2</sub> was injected at the times marked by the vertical black dashed lines, leading to a significant decrease in the current through the device, in the case when the measurements were performed under an applied magnetic field. (<b>b</b>) Time course of the electrical resistance as a function of the hydrogen concentration. The hydrogen concentration was changed by 5 vol-% every 150 s, starting at 100 vol-%.</p>
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<p>(<b>a</b>) CAD model of the experimental fuel cell platform Open-Source-Stack (OSS). (<b>b</b>) Detailed CAD model of the customized end plate with an example sensor and corresponding fastening elements.</p>
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<p>(<b>a</b>) CAD model of an anode bipolar plate of the experimental fuel cell platform Open-Source-Stack (OSS). (<b>b</b>) CAD model of an anode bipolar plate of the OSS with highlighted perspective sensor integration areas.</p>
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<p>(<b>a</b>) Simplified illustration of the recirculating gas mixture within the anode circulation system with integrated hydrogen sensors. (<b>b</b>) Comparison of fuel cell system efficiency between standard purge processes at a specific voltage drop and a model predictive control (MPC) approach with hydrogen measurements for different operating points [<a href="#B9-energies-17-05158" class="html-bibr">9</a>].</p>
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