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23 pages, 5827 KiB  
Article
Design Study for a Superconducting High-Power Fan Drive for a Long-Range Aircraft
by Jan Hoffmann, Wolf-Rüdiger Canders and Markus Henke
Energies 2024, 17(22), 5652; https://doi.org/10.3390/en17225652 - 12 Nov 2024
Viewed by 401
Abstract
New aerodynamic aircraft concepts enable the storage of volumetric liquid hydrogen (LH2). Additionally, the low temperatures of LH2 enable technologies such as the superconductivity of electrical fan drives and power distribution components. An increased power density of the onboard wiring harness and the [...] Read more.
New aerodynamic aircraft concepts enable the storage of volumetric liquid hydrogen (LH2). Additionally, the low temperatures of LH2 enable technologies such as the superconductivity of electrical fan drives and power distribution components. An increased power density of the onboard wiring harness and the electrical machine can be expected. The highest system efficiency and the smallest fuel and tank weight will be achieved with a highly efficient energy conversion by the fuel cell from LH2 to electrical energy. This publication shows a comprehensive study for cryogenic fan drives based on experimental-driven tape superconductor investigations, mission profile-based considerations, design analyses of superconducting electrical machines, and studies of the cooling concepts. A cryogenic system cannot be considered without a feasible cooling concept. Here, an approach with a safe He-based cooling system is proposed, using the LH2 flow to the fuel cell as a heat sink for the losses in the electrical system. Full article
(This article belongs to the Section F: Electrical Engineering)
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Figure 1

Figure 1
<p>SE<sup>2</sup>A proposal for long-range aircraft with blended wing–body design.</p>
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<p>Mission profile of a long-distance aircraft based on data from SE<sup>2</sup>A consortium.</p>
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<p>Principal motor arrangement and measures, active length 185 mm.</p>
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<p>Motor design schematic.</p>
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<p>Simulation model for the hts drive with a two-tier nine-phase winding system, one conductor per phase and pole.</p>
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<p>Circuit overview for the three three-phase coil systems fed from three independent inverters.</p>
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<p>Example of circumferential magnetic flux density component in the airgap vs. the revolving rotor angle for a 6 pole, 5 MW drive under no and full load.</p>
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<p>Measurement arrangement for loss determination of an air coil.</p>
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<p>Liquid nitrogen test of 2 mm tape coil, diameter 70 mm, winding number N = 19.</p>
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<p>Total losses of N = 19 coil, 2 mm tape, diameter 70 mm.</p>
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<p>Verification FE model to compare and verify analytical calculations exposed to AC C-axis components of the magnetic field, 250 Hz, max. 170 mT external Flux density, 100 A.</p>
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<p>Comparison of the influence of current and parallel tape number on losses for the total HTS machine stator; 250 Hz, 2 mm tape, 40 K.</p>
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<p>Loss difference ∆P = P<sub>3mm</sub> − P<sub>2mm</sub> for a variation of currents, 250 Hz, 40 K.</p>
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<p>Tape losses for total stator, comparison of 3 and 2 mm wide HTS tape, 250 Hz, 30, and 40 K.</p>
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<p>Principal arrangement for transversal cooling.</p>
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<p>Temperature distribution shown in sectional view of the spacer tubes and superconductors, with temperatures ranging from 30 to 40 K. Cooling inlet: 30 K GHe. A passive top and bottom layer for mechanical force transfer are also included in this CFD model (left/right).</p>
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<p>Cooling system for one propulsor with reverse Brayton cycle cooler. Exemplary calculation for load case 1, secondary mass flow 76 g/s. (Blue arrows: H2-flow, green: power input/transfer).</p>
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<p>Design of a plate heat exchanger. Exemplary data for the RBCC system: 40 cells for each medium with cell width w<sub>z</sub> = 0.5 mm, height h<sub>z</sub> = 50 mm, length L<sub>z</sub> = 128 mm. (red: H2, blue: He).</p>
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<p>Simplified cooling system with fan. Data for LC1, <math display="inline"><semantics> <mrow> <mover accent="true"> <mrow> <mi>m</mi> </mrow> <mo>˙</mo> </mover> </mrow> </semantics></math><span class="html-italic">He</span> = 0.76 g/s (same as in <a href="#energies-17-05652-f017" class="html-fig">Figure 17</a>). (Blue arrows: H2-flow, green: power input/ transfer).</p>
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<p>Proposed cooling setup of the hts drive system, DC cable: yellow, AC cable: red.</p>
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28 pages, 17468 KiB  
Article
Characterisation of Large-Sized REBaCuO Bulks for Application in Flux Modulation Machines
by Quentin Nouailhetas, Yiteng Xing, Rémi Dorget, Walid Dirahoui, Santiago Guijosa, Frederic Trillaud, Jean Lévêque, Jacques Guillaume Noudem, Julien Labbé and Kévin Berger
Materials 2024, 17(15), 3827; https://doi.org/10.3390/ma17153827 - 2 Aug 2024
Viewed by 650
Abstract
High temperature superconductors (HTSs) are enablers of extensive electrification for aircraft propulsion. Indeed, if used in electrical machines, HTS materials can drastically improve their performance in terms of the power-to-weight ratio. Among the different topologies of superconducting electrical machines, a flux modulation machine [...] Read more.
High temperature superconductors (HTSs) are enablers of extensive electrification for aircraft propulsion. Indeed, if used in electrical machines, HTS materials can drastically improve their performance in terms of the power-to-weight ratio. Among the different topologies of superconducting electrical machines, a flux modulation machine based on HTS bulks is of interest for its compactness and light weight. Such a machine is proposed in the FROST (Flux-barrier Rotating Superconducting Topology) project led by Airbus to develop new technologies as part of their decarbonization goals driven by international policies. The rotor of the machine will house large ring-segment-shaped HTS bulks in order to increase the output power. However, the properties of those bulks are scarcely known and have barely been investigated in the literature. In this context, the present work aims to fill out partially this scarcity within the framework of FROST. Thus, a thorough characterisation of the performances and homogeneity of 11 large REBaCuO bulks was carried out. Ten of the bulks are to be utilized in the machine prototype, originally keeping the eleventh bulk as a spare. A first set of characterisation was conducted on the eleven bulks. For this set, the trapped field mapping and the critical current were estimated. Then, a series of in-depth characterisations on the eleventh bulk followed. It included critical current measurement, X-ray diffraction, and scanning electron microscopy on different millimetre-size samples cut out from the bulk at various locations. The X-ray diffraction and scanning electron microscopy showed weakly oxygenated regions inside the bulk explaining the local drop or loss in superconducting properties. The objective was to determine the causes of the inhomogeneities found in the trapped field measured on all the bulks, sacrificing one of them, here the spare one. To help obtain a clearer picture, a numerical model was then elaborated to reproduce the field map of the eleventh bulk using the experimental data obtained from the characterisation of its various small samples. It is concluded that further characterisations, including the statistics on various bulks, are still needed to understand the underlying reasons for inhomogeneity in the trapped field. Nonetheless, all the bulks presented enough current density to be usable in the construction of the proposed machine. Full article
(This article belongs to the Special Issue Characterization and Application of Superconducting Materials)
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Figure 1

Figure 1
<p>Exploded-view drawing of the active components of the superconducting axial-flux modulation machine using HTS bulks in its rotor for the FROST project.</p>
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<p>(<b>a</b>) GdBaCuO disk-shaped single-domain bulk (100 mm in diameter and 10 mm in height). (<b>b</b>) GdBaCuO single-domain bulk machined as ring segment. (<b>c</b>) The 10 GdBaCuO ring segment bulks after laser cutting the edges.</p>
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<p>(<b>a</b>) The 9 T external superconducting magnet with a 150 mm warm bore; (<b>b</b>) the 3-axis table equipped with a hall probe showing the dismantled sample holder; (<b>c</b>) bulk installed in the sample holder. The sample holder can be moved around to be able to map the trapped field on the 3-axis table so that the bulk remains in the liquid nitrogen at all times.</p>
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<p>Trapped field distributions for S1 to S10 resulting from a 3 T Field Cooling (FC) magnetization process at 77 K. The bulks were previously laser-cut.</p>
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<p>Trapped field distribution of S11 bulk measured at 77 K following a Field Cooling (FC) magnetization using a permanent magnet with a remanent magnetic flux density of 0.3 T.</p>
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<p>Picture of bulk S11 indicating the locations of the small samples to be characterised. G1 to G4 refer to samples along the growth sector region, while B2 to B4 refer to samples along the growth sector boundary. These samples were taken every centimetre from the seed location. D1 has been cut at a location where a defect has been identified. For each position indicated, three samples are taken from the thickness of bulk S11. This gives a total of 24 samples.</p>
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<p>Critical current density <math display="inline"><semantics> <msub> <mi>J</mi> <mi>c</mi> </msub> </semantics></math> at 77 K obtained at 1 T and 2 T according to the position of the 24 different samples in the bulk. The black and red horizontal lines represent the respective mean values at 1 T (14.36 ± 3.71 kA·cm<sup>−2</sup>) and 2 T (15.12 ± 4.19 kA·cm<sup>−2</sup>). The statistics do not include G4T and D1T, as they do not show any superconductivity. The vertical dashed lines indicate the different zones in the bulk resulting from the manufacturing process.</p>
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<p>Critical current densities <math display="inline"><semantics> <msub> <mi>J</mi> <mi>c</mi> </msub> </semantics></math> as a function of the magnetic field for G1T (right below the seed), G4T (4 cm away from the seed in the growth sector on top of the bulk), and D1T (weak trapped field region on top of the bulk). The magnetic moment as a function of temperature is also displayed for G1T and G4T using a 1 mT background field. The curves of G4T and D1T overlap.</p>
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<p>Critical current density <math display="inline"><semantics> <msub> <mi>J</mi> <mi>c</mi> </msub> </semantics></math> as a function of the magnetic flux density for the sample G1T (right below the seed), G3T (3 cm away from the seed in the growth sector at the top of the bulk) and B3B (3 cm away from the seed in the grain boundary at bottom of the bulk). <math display="inline"><semantics> <msub> <mi>J</mi> <mrow> <mi mathvariant="normal">c</mi> <mo>,</mo> <mi>hollow</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>J</mi> <mrow> <mi mathvariant="normal">c</mi> <mo>,</mo> <mi>hill</mi> </mrow> </msub> </semantics></math> indicate the local minima and maxima describing the fishtail effect.</p>
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<p>Fishtail strength <math display="inline"><semantics> <msub> <mo>Δ</mo> <mrow> <mi>F</mi> <mi>E</mi> </mrow> </msub> </semantics></math> at 77 K in blue triangle for the 24 superconducting samples. Only one of the superconducting samples did not show a fishtail effect, sample G2B, and is therefore not shown in the figure. The horizontal blue line indicates the mean value at 8.18%. The standard deviation is 4.03%.</p>
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<p>Critical current density <math display="inline"><semantics> <msub> <mi>J</mi> <mi>c</mi> </msub> </semantics></math> as a function of the magnetic flux density from magnetic measurements taken at 77 K in samples (<b>a</b>) along the growth sector region, (<b>b</b>) along the growth sector boundary, and (<b>c</b>) in the weakly superconducting area D1 with G1 as a reference value.</p>
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<p>Scaling behaviours of the normalized volume pinning force <span class="html-italic">f</span> vs. reduced magnetic field <span class="html-italic">h</span> at 77 K for all locations averaged over the bulk height. The dashed lines represent the fitted curves with a Dew–Hughes’ pinning function <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>=</mo> <mi>A</mi> <mspace width="0.166667em"/> <msup> <mrow> <mo>(</mo> <mi>h</mi> <mo>)</mo> </mrow> <mi>p</mi> </msup> <mspace width="0.166667em"/> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>−</mo> <mi>h</mi> <mo>)</mo> </mrow> <mi>q</mi> </msup> </mrow> </semantics></math>.</p>
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<p>(<b>a</b>) Critical current density <math display="inline"><semantics> <msub> <mi>J</mi> <mi>c</mi> </msub> </semantics></math> at 40 K obtained at 4 T and 8 T, for each location except D1. The black and red horizontal lines represent the mean values at 4 T (172.43 kA·cm<sup>−2</sup>) and 8 T (178.74 kA·cm<sup>−2</sup>), respectively. The non-superconducting samples are not included in the statistics. (<b>b</b>) Amplitude of the fishtail effect at 40 K in blue triangle. The horizontal blue line indicates the mean value equal to 18.31 ± 3.73%.</p>
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<p>Critical current density <math display="inline"><semantics> <msub> <mi>J</mi> <mi>c</mi> </msub> </semantics></math> as a function of the applied magnetic flux density <span class="html-italic">B</span> at 40 K (<b>a</b>) along the growth sector region and (<b>b</b>) along the growth sector boundary.</p>
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<p>X-ray diffraction pattern of G1T, G4T and D1T samples with a normalised intensity within (<b>a</b>) the corresponding phase orientation indicated right above each major peak and (<b>b</b>) an emphasis on the (003) diffraction peak.</p>
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<p>X-ray diffraction pattern of G1T, G3T and B3B samples with a normalised intensity. (<b>a</b>) The corresponding phase orientation is indicated right above each major peak. (<b>b</b>) Zoom on the (003) diffraction peak.</p>
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<p>Pictures of the surface of the samples: (<b>a</b>) G1T, (<b>b</b>) G3T, and (<b>c</b>) B3B made by Scanning Electron Microscopy (SEM). The pictures are accompanied by an EDS image of an area to determine its atomic composition. The colours correspond to <span style="color: #00FF00">•</span> Silver <span style="color: #00AEEF">•</span> Gadolinium <span style="color: #EC008C">•</span> Barium.</p>
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<p>(<b>a</b>) Scanning Electron Microscopy picture of the G3T sample, and (<b>b</b>) analysis of the oxygen content of G3T using the SEM-EDS method. The red dots <span style="color: #FF0000">•</span> indicate the presence of oxygen atoms.</p>
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<p>Geometry used to simulate the S11 inhomogeneous bulk with homothetic areas (R1–4) of the various critical current densities extracted from measurements (G1, B2–4), weakly superconducting areas (R5 and R8–10 using respectively G4 and D1 measured <math display="inline"><semantics> <mrow> <msub> <mi>J</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>B</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>), and non-superconducting areas (R6–7, considered as air).</p>
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<p>Computed trapped field distribution of a ring-segment-shaped bulk representing the configuration of S11 bulk, (<b>a</b>) with the average <math display="inline"><semantics> <mrow> <msub> <mi>J</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>B</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> measured on the cutout samples of S11 bulk, and (<b>b</b>) with adjusted values of average <math display="inline"><semantics> <mrow> <msub> <mi>J</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <mi>B</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> for the weakly and non-superconducting areas. The magnetic field is computed 2 mm above the bulk surface, as was performed experimentally (see <a href="#materials-17-03827-f005" class="html-fig">Figure 5</a>).</p>
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11 pages, 4851 KiB  
Article
Design and Analysis of a Superconducting Homopolar Inductor Machine for Aerospace Application
by Jiabao Wang, Chao Guo, Wanyu Zhou and Qin Wan
Electronics 2024, 13(14), 2830; https://doi.org/10.3390/electronics13142830 - 18 Jul 2024
Viewed by 701
Abstract
The electrically excited homopolar inductor machine has a static excitation coil as well as a robust rotor, which makes it attractive in the field of high-speed superconducting machines. This paper designed and analyzed a megawatt class superconducting homopolar inductor machine for aerospace application. [...] Read more.
The electrically excited homopolar inductor machine has a static excitation coil as well as a robust rotor, which makes it attractive in the field of high-speed superconducting machines. This paper designed and analyzed a megawatt class superconducting homopolar inductor machine for aerospace application. To improve the power density, a mass-reduced rotor structure is proposed. Firstly, the main structure parameters of the superconducting homopolar inductor machine are derived based on the required power and speed. Secondly, the electromagnetic performance of the superconducting homopolar inductor machine is analyzed based on the finite element method. Thirdly, a mass-reduced rotor is proposed to improve its power density. The structural performance of the rotor and the electromagnetic performance of the superconducting homopolar inductor machine before and after rotor-mass reduction are evaluated. Compared with the initial rotor, the mass of the mass-reduced rotor is reduced from 66.56 kg to 50.02 kg, which increases the power density by 14.3%. The result shows that a superconducting homopolar inductor machine with a mass-reduced rotor can effectively improve its power density without affecting its output power. Full article
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Figure 1
<p>Topology of superconducting homopolar inductor machine.</p>
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<p>Two-dimensional cross-section of the super-conducting winding.</p>
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<p>Two-dimensional expanded view of the rotor along the circumference.</p>
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<p>The static magnetic field flux density cloud diagram of SHIM and the air-gap flux density on one side of the air gap. (<b>a</b>) Magnetic field flux density cloud diagram. (<b>b</b>) Air-gap flux density.</p>
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<p>Phase back EMF and its amplitude spectrum. (<b>a</b>) Waveform of back EMF. (<b>b</b>) Amplitude spectrum.</p>
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<p>Magnetic field distribution around the superconducting coil.</p>
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<p>Output torque and power waveforms.</p>
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<p>Structure analysis and modal analysis of rotor. (<b>a</b>) Von mises stress distribution. (<b>b</b>) First-order mode (Frequency = 753.74 Hz). (<b>c</b>) Second-order mode (Frequency = 1740.8 Hz).</p>
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<p>Three-dimensional models of the original rotor and the mass-reduced rotor. (<b>a</b>) Original rotor. (<b>b</b>) Mass-reduced rotor. (<b>c</b>) Sectional view of the weight-reduction rotor.</p>
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<p>Von Mises stress distribution, first-order bending mode and second-order bending mode of the reduced rotor at rated speed. (<b>a</b>) Von mises stress distribution. (<b>b</b>) First-order bending mode. (<b>c</b>) Second-order bending mode.</p>
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<p>The static field magnetic density distribution of the SHIM with mass-reduced rotor and the waveform of air-gap flux density. (<b>a</b>) Static field magnetic density distribution. (<b>b</b>) Air-gap flux density.</p>
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45 pages, 38405 KiB  
Review
Bulk MgB2 Superconducting Materials: Technology, Properties, and Applications
by Tetiana Prikhna, Vladimir Sokolovsky and Viktor Moshchil
Materials 2024, 17(11), 2787; https://doi.org/10.3390/ma17112787 - 6 Jun 2024
Viewed by 1128
Abstract
The intensive development of hydrogen technologies has made very promising applications of one of the cheapest and easily produced bulk MgB2-based superconductors. These materials are capable of operating effectively at liquid hydrogen temperatures (around 20 K) and are used as elements [...] Read more.
The intensive development of hydrogen technologies has made very promising applications of one of the cheapest and easily produced bulk MgB2-based superconductors. These materials are capable of operating effectively at liquid hydrogen temperatures (around 20 K) and are used as elements in various devices, such as magnets, magnetic bearings, fault current limiters, electrical motors, and generators. These applications require mechanically and chemically stable materials with high superconducting characteristics. This review considers the results of superconducting and structural property studies of MgB2-based bulk materials prepared under different pressure–temperature conditions using different promising methods: hot pressing (30 MPa), spark plasma sintering (16–96 MPa), and high quasi-hydrostatic pressures (2 GPa). Much attention has been paid to the study of the correlation between the manufacturing pressure–temperature conditions and superconducting characteristics. The influence of the amount and distribution of oxygen impurity and an excess of boron on superconducting characteristics is analyzed. The dependence of superconducting characteristics on the various additions and changes in material structure caused by these additions are discussed. It is shown that different production conditions and additions improve the superconducting MgB2 bulk properties for various ranges of temperature and magnetic fields, and the optimal technology may be selected according to the application requirements. We briefly discuss the possible applications of MgB2 superconductors in devices, such as fault current limiters and electric machines. Full article
(This article belongs to the Section Advanced and Functional Ceramics and Glasses)
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Figure 1
<p>Dependences of critical current density (magnetic measurement), <span class="html-italic">J</span><sub>c</sub>, on magnetic field, μ<sub>o</sub><span class="html-italic">H</span>, for MgB<sub>2</sub>-based materials at 20 K (<b>a</b>) and 30 K (<b>b</b>) [<a href="#B108-materials-17-02787" class="html-bibr">108</a>]. 1 HP—high-pressure synthesized under 2 GPa at 1050 °C for 1 h from Mg(I):2B(I) with 10% SiC addition; 2 HP—high-pressure synthesized (2 GPa, 1050 °C, 1 h) from Mg(I):2B(I); 3 HP—high-pressure-sintered (2 GPa, 1050 °C, 1 h) from MgB<sub>2</sub> (VII); 4 HP—high-pressure-synthesized (2 GPa, 600 °C, 1 h) from Mg (II):2B (II); 5 SPS—spark-plasma-synthesized under 50 MPa at 600 °C for 0.3 h and then at 1050 °C for 0.5 h from Mg(I):2B(III); 6 HotP—synthesized by hot pressing (30 MPa, 900 °C, 1 h) from Mg(I):2B(III) with 10% Ta addition; 7 HIP—synthesized under high isostatic (gas) pressure (0.1 GPa, 900 °C, 1 h) from mixture of Mg(I):2B(III) with 10% Ti addition, which was precompacted into a ring shape by broaching; 8 PL—pressureless sintering (in flowing Ar under 0.1 MPa at 800 °C for 2 h) from mixture of Mg(I):2B(III) with 10% Ti addition, which was precompacted into a ring shape by broaching.</p>
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<p>(<b>a</b>,<b>b</b>)—Sample structures obtained by SEM in COMPO (compositional) contrast: (<b>a</b>)—Sample sintered from MgB<sub>2</sub> (Type VI) under 2 GPa at 1000 °C for 1 h; bright small zones in (<b>a</b>) seem to be inclusions (containing O, Zr, Nb, and possibly ZrO<sub>2</sub>) appearing due to milling of initial MgB<sub>2</sub>. (<b>b</b>)—Structure of sample synthesized from Mg(I):2B(I) under 2 GPa at 800 °C. (<b>c</b>,<b>d</b>)—X-ray patterns of these samples, respectively [<a href="#B109-materials-17-02787" class="html-bibr">109</a>].</p>
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<p>Critical current density, <span class="html-italic">J</span><sub>c,</sub> vs. magnetic field, μ<sub>o</sub><span class="html-italic">H</span>, of MgB<sub>2</sub> prepared (<b>a</b>) from Mg(I):2B(III) by SPS under 50 MPa at 600 °C for 0.3 h and then at 1050 °C for 0.5 h and (<b>b</b>) from Mg(I):2B(III) + 10 wt% Ti by HotP under 30 MPa at 1000 °C for 15 min [<a href="#B119-materials-17-02787" class="html-bibr">119</a>].</p>
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<p>Structures of MgB<sub>2</sub> materials prepared from Mg(I):2B(III) mixtures under 50 MPa at 600 °C for 0.5 h and then at 1050 °C for 0.5 h. Images were obtained using SEM at different magnifications [<a href="#B109-materials-17-02787" class="html-bibr">109</a>]; (<b>a</b>–<b>c</b>)—SEI and, (<b>d</b>)—BEI.</p>
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<p>Real (m’) part of the ac susceptibility (magnetic moment) vs. temperature, <span class="html-italic">T</span> [<a href="#B108-materials-17-02787" class="html-bibr">108</a>]. Small samples for the study were cut from superconductors prepared under 2 GPa. 1—edge of block 63 mm in diameter, prepared from Mg(I):2B (I and III) + 2 wt% Ti, at 800 °C; 2—center of the same block; 3—block 63 mm in diameter, Mg(I):2B(III) at 950 °C, 4—tablet 9 mm in diameter, Mg(I):2B(V) + 10 wt% Ti, at 1050 °C; 5—tablet 9 mm in diameter, Mg(I):2B(III) + 10 wt% Ti, at 800 °C; 6—tablet 9 mm in diameter, Mg(I):2B(III) + 10 wt% Ti at 1050 °C; 7—tablet 9 mm in diameter, Mg(I):2B(III) + 10 wt% Ta, at 1050 °C; 8—tablet 9 mm in diameter, Mg(II):2B(II) at 600 °C.</p>
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<p>Thermal dependence of the upper critical magnetic field, <span class="html-italic">B</span><sub>c2</sub>, of bulk MgB<sub>2</sub> [<a href="#B120-materials-17-02787" class="html-bibr">120</a>,<a href="#B132-materials-17-02787" class="html-bibr">132</a>], prepared from: 1—Mg(II):2B(II) under 2 GPa (HP) at 600 °C for 1 h; 2—Mg(I):2B(III) (30 MPa (HotP), 800 °C, 2h); 3—Mg(I):2B(III) (50 MPa (SPS), at 600 °C for 0.3 h and then at 1050 °C for 0.5 h); 4—Mg(I):2B(III) (2 GPa (HP), 900 °C, 1 h); 5—Mg(I):2B(V) + 10 wt% Zr (2 GPa (HP), 800 °C, 1 h); 6—Mg(I):2B(V) + 10 wt% Ti (2 GPa (HP), 800 °C, 1 h); 7—Mg(I):2B(I) + 10 wt% SiC (2 GPa (HP), 1050 °C, 1 h).</p>
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<p>(<b>a</b>–<b>d</b>)—Microstructures obtained by SEM at different magnifications of MgB<sub>2</sub> material prepared from Mg(II):2B(II) mixtures under 2 GPa at 600 °C for 1 h [<a href="#B109-materials-17-02787" class="html-bibr">109</a>]. (<b>a</b>)—SEI and, (<b>b</b>–<b>d</b>)—BEI.</p>
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<p>The dependences of critical current density, <span class="html-italic">J</span><sub>c</sub>, at 20 K on a magnetic field. The MgB<sub>2</sub> samples were prepared from Mg(I):2B(I) and Mg(I):2B(III). The graph was composed using the data presented in [<a href="#B20-materials-17-02787" class="html-bibr">20</a>,<a href="#B98-materials-17-02787" class="html-bibr">98</a>,<a href="#B103-materials-17-02787" class="html-bibr">103</a>,<a href="#B119-materials-17-02787" class="html-bibr">119</a>].</p>
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<p>(<b>a</b>,<b>b</b>)—SEM images in SEI mode of MgB<sub>2</sub> materials synthesized from Mg(I):2B(III) mixtures under 2 GPa, for 1 h at 800 and 1050 °C, respectively [<a href="#B109-materials-17-02787" class="html-bibr">109</a>]. (<b>c</b>,<b>d</b>)—Schema of MgB<sub>2</sub>-based material structures synthesized at low temperature of 800 °C (<b>e</b>) and high temperature of 1050 °C (<b>f</b>) [<a href="#B85-materials-17-02787" class="html-bibr">85</a>]. (<b>e</b>,<b>f</b>)—X-ray patterns of samples shown in (<b>a</b>,<b>b</b>) [<a href="#B113-materials-17-02787" class="html-bibr">113</a>].</p>
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<p>Critical current density, <span class="html-italic">J</span><sub>c</sub>, vs. magnetic field, µ<sub>o</sub><span class="html-italic">H</span>, of MgB<sub>2</sub> materials prepared from Mg(I):2B(I) and Mg(I):2B(III) mixtures under 2 GPa, at 800 and 1050 °C for 1 h (<b>a</b>,<b>b</b>), respectively; additions of SiC (0.2–0.8 μm) to Mg(I):2B(I) mixture (<b>c</b>) and Ti (99%, 1–3 μm) to Mg(I):2B(III) (<b>d</b>) [<a href="#B103-materials-17-02787" class="html-bibr">103</a>].</p>
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<p>(<b>a</b>) Maximal pinning forces, BFp(max), and corresponding values of magnetic fields at 20 K vs. synthesis pressure for MgB<sub>2</sub>-based materials synthesized from Mg(I) and B(III) at 800 (circles) and 1050 °C (stars); (<b>b</b>)—normalized pinning force, <span class="html-italic">F</span><sub>p</sub>, vs. magnetic field, <span class="html-italic">B</span>, calculated from the critical current density, <span class="html-italic">J</span><sub>c</sub>; and (<b>c</b>)—dependence of critical current density, <span class="html-italic">J</span><sub>c</sub>, on magnetic field. Designations: <span class="html-italic">k</span> = B<sub>peak</sub>/B<sub>n</sub>; PP—point pinning; GBP—grain boundary pinning; and MP—mixed pinning [<a href="#B128-materials-17-02787" class="html-bibr">128</a>]. Curves: (1) Mg(I):2B(I) + 10% SiC, 2GPa, 1050 °C, 1 h, k = 0.51 (PP); (2) Mg(I):2B(III) + 10% Ti, 2 GPa, 1050 °C, 1 h, k = 0.42 (MP); (3) Mg(I):2B(III), 50 MPa, 600 °C for 0.3 h and then 1050 °C for 0.5 h, k = 0.63 (&gt;PP?); (4) Mg(II):2B(II) with 3.5% C, 2 GPa, 600 °C, 1 h, k = 0.31 (GBP); (5) Mg(I):2B(III) + 10% Ti, 30 MPa for 1 h and then 1000 °C for 0.2 h, k = 0.42 (MP); (6) MgB<sub>2</sub>, 16 MPa, 1150 °C, 0.3 h, k = 0.45 (PP); (7) Mg(I):2B(III), in flowing Ar atmosphere under 0.1 MPa, 800 °C, 4 h, k = 0.35 (GBP).</p>
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<p>(<b>a</b>)—X-ray patterns of the material synthesized under 2 GPa at 1200 °C for 1 h from Mg(I):12B(III); (<b>b</b>)—dependences of <span class="html-italic">J</span><sub>c</sub> on the external magnetic fields, μ<sub>o</sub><span class="html-italic">H</span>, at 20 K for the materials synthesized under 2 GPa for 1 h from Mg(I) and B(III), taken in the ratio Mg:xB, and synthesized at temperature, <span class="html-italic">T</span><sub>S</sub>: curves 1—Mg:12B, <span class="html-italic">T</span><sub>S</sub> = 1200 °C; curve 2—Mg:10B, <span class="html-italic">T</span><sub>S</sub> = 1200 °C; curve 3—Mg:8B, <span class="html-italic">T</span><sub>S</sub> = 1200 °C; curve 4—Mg:6B, <span class="html-italic">T</span><sub>S</sub> = 1200 °C; curve 5—Mg:4B, <span class="html-italic">T</span><sub>S</sub> = 1200 °C; curve 6—Mg:12B, <span class="html-italic">T</span><sub>S</sub> = 800 °C; curve 7—Mg:20B, <span class="html-italic">T</span><sub>S</sub> = 1200 °C; (<b>c</b>)—backscattering SEM image of the material prepared under 2 GPa at 1200 °C for 1 h from Mg(I):12B(III); (<b>d</b>) HRT—EM microstructure (of a MgB<sub>12</sub> grain, the stoichiometry of which was estimated by HRTEM EDX); (<b>e</b>)—dependences of critical current density, <span class="html-italic">J</span><sub>c</sub>, on magnetic fields, μ<sub>o</sub><span class="html-italic">H</span>, at 10–35 K for the materials prepared under 2 GPa at 1200 °C for 1 h from mixtures of Mg(I):8B(III) [<a href="#B103-materials-17-02787" class="html-bibr">103</a>].</p>
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<p>Microstructures of the materials synthesized from Mg(I):B(III) with a 10 wt% of Ti (3–10 μm) addition under 2 GPa for 1 h at 800 (<b>a</b>,<b>c</b>) and 1050 °C (<b>b</b>,<b>d</b>) [<a href="#B108-materials-17-02787" class="html-bibr">108</a>]. X-ray patterns of these materials (<b>e</b>,<b>f</b>). (<b>c</b>,<b>d</b>) show the places where Ti is absent [<a href="#B103-materials-17-02787" class="html-bibr">103</a>,<a href="#B113-materials-17-02787" class="html-bibr">113</a>].</p>
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<p>(<b>a</b>) Image of microstructure of MgB<sub>2</sub> sample with 10 wt% of Ti (3–10 μm); image 16a was taken in the place where the Ti grains are absent. (<b>b</b>–<b>d</b>)—EDX maps of boron, oxygen, and magnesium distributions over the area of the image shown in 16e (the brighter the area looks, the higher the amount of the element under study) [<a href="#B103-materials-17-02787" class="html-bibr">103</a>].</p>
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<p>(<b>a</b>–<b>c</b>) SEM images of MgB<sub>2</sub> sample with 10 wt% of Ti powder (about 60 μm) synthesized under 2 GPa at 800 °C for 1 h: SEI (<b>a</b>–<b>c</b>) [<a href="#B113-materials-17-02787" class="html-bibr">113</a>]. Notations: “I”—Mg-B-O inclusions, MgB<sub>x</sub>—higher magnesium borides. In (<b>c</b>), the points marked by No. 1–6 are the points for which were made quantitative Auger analyses, the results of which are summarized in <a href="#materials-17-02787-t006" class="html-table">Table 6</a> [<a href="#B113-materials-17-02787" class="html-bibr">113</a>].</p>
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<p>(<b>a</b>,<b>b</b>)—Microstructure of magnesium diboride synthesized from Mg(I):B(III) with 10 wt% TiH<sub>2</sub> addition under 2 GPa at 950 °C for 1 h in SEI [<a href="#B84-materials-17-02787" class="html-bibr">84</a>] (<b>a</b>) and COMPO (<b>b</b>) regimes.</p>
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<p>Microstructure of materials with 10 wt% of SiC additions (0.2–0.8 μm) prepared from Mg(I):2B(I) under 2 GPa (HP) at 800 °C for 1 h (<b>a</b>–<b>d</b>) and at 1050 °C (<b>e</b>–<b>h</b>); (<b>a</b>,<b>c</b>,<b>e</b>,<b>g</b>)—SEI images; (<b>b</b>,<b>d</b>,<b>f</b>,<b>h</b>)—COMPO images; (<b>a</b>,<b>b</b>), (<b>c</b>,<b>d</b>), (<b>e</b>,<b>f</b>), and (<b>g</b>,<b>h</b>) are paired images of the same place under the same magnification but in different modes—SEI and COMPO [<a href="#B132-materials-17-02787" class="html-bibr">132</a>].</p>
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<p>Characteristics of MgB<sub>2</sub>-based materials synthesized from Mg(I):2B(III) and Mg(II):2B(II) under 2 GPa for 1 h at different temperatures: (<b>a</b>–<b>f</b>)—dependences of critical current density, <span class="html-italic">J</span><sub>c</sub>, on magnetic field, <span class="html-italic">B</span>, of materials without (<b>a</b>) and with additions of titanium (Ti) (<b>b</b>,<b>e</b>), polyvalent titanium oxides (Ti-O) (<b>c</b>,<b>f</b>), and titanium carbide (TiC) (<b>d</b>); (<b>g</b>)—fields of irreversibility, <span class="html-italic">B</span><sub>irr</sub>, and (<b>h</b>) upper critical magnetic fields, <span class="html-italic">B</span><sub>C2</sub>, vs. temperature [<a href="#B85-materials-17-02787" class="html-bibr">85</a>].</p>
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<p>(<b>a</b>)—X-ray diffraction pattern, (<b>b</b>)—dependence of critical current densities, <span class="html-italic">J</span><sub>c</sub>, on magnetic field, µ<sub>o</sub><span class="html-italic">H</span>, at 10, 20, 25, 30, 33, and 35 K of the material, prepared from Mg(I):2B(I) under 2 GPa at 1050 °C for 1 h [<a href="#B117-materials-17-02787" class="html-bibr">117</a>].</p>
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<p>Calculated density of electronic states, <span class="html-italic">N</span>(<span class="html-italic">E</span>), for MgB<sub>2</sub> (<b>a</b>), MgB<sub>1.75</sub>O<sub>0.25</sub> (<b>b</b>), MgB<sub>1.5</sub>O<sub>0.5</sub> (<b>c</b>) per formula unit; (<b>d</b>)—calculated DOS at the Fermi level. <span class="html-italic">N</span>(<span class="html-italic">E</span><sub>F</sub>) depends on the oxygen concentration, x, in MgB<sub>2-x</sub>O<sub>x</sub> compounds (hollow squares). The total DOS and partial contributions of Mg, B, and O atoms are indicated by solid squares, solid triangles, and solid circles, respectively [<a href="#B132-materials-17-02787" class="html-bibr">132</a>].</p>
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<p>(<b>a</b>)—Dependence of the binding energy, <span class="html-italic">E</span><sub>b</sub>, on the oxygen concentration, x, in MgB<sub>2-x</sub>O<sub>x</sub>/C<sub>x</sub>: 1, 3—homogeneous oxygen and carbon substitutions of boron atoms, respectively; 2, 4—the lowest binding energy vs. x for the ordered oxygen and carbon substitutions (for example, in nearby positions or in pairs), respectively. (<b>b</b>)—Z-contrast image of coherent oxygen-containing inclusions in [010] of MgB<sub>2</sub> obtained using HRTEM (high–resolution transmission microscopy). Bright atoms—Mg. The contrast increases in each second row and is due to the presence of oxygen in each second boron plane. The white arrows show the columns of atoms in which oxygen is present [<a href="#B117-materials-17-02787" class="html-bibr">117</a>].</p>
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<p>Maps of electron density distribution for: (<b>a</b>)—MgB<sub>2</sub> (z = 1/2, (001)), (<b>b</b>)—MgB<sub>1.75</sub>O<sub>0.25</sub> (z = 1/4, (001) [<a href="#B108-materials-17-02787" class="html-bibr">108</a>]), (<b>c</b>)—MgB<sub>1.5</sub>O<sub>0.5</sub> (z = 1/4, (001)); z-coordinates of the plane of a 2 × 2 × 2 supercell, where z is given in units of the <span class="html-italic">c</span> parameter of a 2 × 2 × 2 MgB<sub>2</sub> supercell [<a href="#B132-materials-17-02787" class="html-bibr">132</a>]; (<b>d</b>)—MgB<sub>1.5</sub>O<sub>0.5</sub> in the transversal plane under an angle to the basal boron planes of the hexagonal unit cell to show the boron plane without imbedded oxygen atoms together with the Mg plane (the plane goes through the 7-B, 8-B, and 1′-B, 2′-B positions of a 2 × 2 × 2 supercell [<a href="#B132-materials-17-02787" class="html-bibr">132</a>]); (<b>e</b>)—MgB<sub>1.5</sub>C<sub>0.5</sub> (z = 1/4, (001)); (<b>f</b>)—MgB<sub>1.5</sub>C<sub>0.5</sub> in the transversal plane under an angle to the basal boron planes (the plane goes through the 7-B, 8-B, and 1′-B, 2′-B positions of a 2 × 2 × 2 supercell) [<a href="#B117-materials-17-02787" class="html-bibr">117</a>].</p>
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<p>Examples of MgB2 bulk superconductors: (<b>a</b>)—obtained using HotP, (<b>b</b>) [<a href="#B120-materials-17-02787" class="html-bibr">120</a>], (<b>c</b>) —obtained using HP and then the rings were cut mechanically, and (<b>d</b>)—obtained by machining a bulk cylinder manufactured using SPS [<a href="#B26-materials-17-02787" class="html-bibr">26</a>].</p>
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<p>High quasi-hydrostatic pressing (HP) in ISM NASU. Hydraulic 140 MN-effort press from the ASEA company (<b>a</b>), hydraulic 25 MN-effort press (<b>b</b>), cylinder piston high–pressure apparatus (HPA) (<b>c</b>), recessed-anvil type (HPA) for 25 MN press (<b>d</b>), and scheme of high–pressure cell of the recessed-anvil HPA (before and after loading) (<b>e</b>).</p>
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<p>Hydraulic press DO 630 for hot pressing with generator and inductor (<b>a</b>,<b>b</b>); general view of inductor of hot press during heating (shining window—opening for temperature estimation by pyrometer) (<b>c</b>), scheme of assembled inductor (<b>d</b>).</p>
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<p>Installation for spark plasma sintering (<b>a</b>) and, scheme of SPS heating chamber (<b>b</b>) [<a href="#B166-materials-17-02787" class="html-bibr">166</a>].</p>
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<p>(<b>a</b>)—The schemes of an SFCL model and a testing circuit for the simulation of a fault event. (<b>b</b>)—Typical oscilloscope traces of the current in a protected circuit (black, solid curve) and the voltage drop across the primary coil of the SFCL model (red, dashed curve) at 50 Hz and about 4 K (from [<a href="#B90-materials-17-02787" class="html-bibr">90</a>]). The experiment details are described in [<a href="#B120-materials-17-02787" class="html-bibr">120</a>]. “A”—is ammeter.</p>
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<p>General view of azebra-type rotor of a 1300W/215V superconducting motor with MgB<sub>2</sub> bulk superconductor [<a href="#B9-materials-17-02787" class="html-bibr">9</a>].</p>
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<p>(<b>a</b>) Magnetic shield of MgB<sub>2</sub> in the shape of a cup (outer radius, <span class="html-italic">R</span><sub>o</sub> = 10.15 mm; inner radius, <span class="html-italic">R</span><sub>i</sub> =7.0 mm; external height, <span class="html-italic">h</span><sub>e</sub> = 22.5 mm; internal depth, <span class="html-italic">d</span><sub>i</sub> = 18.3 mm). The material is machinable by chipping. The shielding factors (i.e., the ratio between an outer applied magnetic field, <span class="html-italic">H</span><sub>appl</sub>, and an inner magnetic field measured by a Hall sensor at different z<sub>1</sub>–z<sub>5</sub> positions (<b>b</b>)) at <span class="html-italic">T</span> = 30 K are shown in (<b>c</b>). The dashed lines represent the shielding factors computed in correspondence with the Hall probe positions, assuming the magnetic field dependence of <span class="html-italic">J</span><sub>c</sub>(<span class="html-italic">B</span>) at 30 K. (<a href="#materials-17-02787-f002" class="html-fig">Figure 2</a> in [<a href="#B26-materials-17-02787" class="html-bibr">26</a>] adapts the results obtained in [<a href="#B159-materials-17-02787" class="html-bibr">159</a>]).</p>
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16 pages, 5270 KiB  
Article
Application of the Polynomial Chaos Expansion to the Uncertainty Propagation in Fault Transients in Nuclear Fusion Reactors: DTT TF Fast Current Discharge
by Marco De Bastiani, Alex Aimetta, Roberto Bonifetto and Sandra Dulla
Appl. Sci. 2024, 14(3), 1068; https://doi.org/10.3390/app14031068 - 26 Jan 2024
Viewed by 849
Abstract
Nuclear fusion reactors are composed of several complex components whose behavior may be not certain a priori. This uncertainty may have a significant impact on the evolution of fault transients in the machine, causing unexpected damage to its components. For this reason, a [...] Read more.
Nuclear fusion reactors are composed of several complex components whose behavior may be not certain a priori. This uncertainty may have a significant impact on the evolution of fault transients in the machine, causing unexpected damage to its components. For this reason, a suitable method for the uncertainty propagation during those transients is required. The Monte Carlo method would be the reference option, but it is, in most of the cases, not applicable due to the large number of required, repeated simulations. In this context, the Polynomial Chaos Expansion has been considered as a valuable alternative. It allows us to create a surrogate model of the original one in terms of orthogonal polynomials. Then, the uncertainty quantification is performed repeatedly, relying on this much simpler and faster model. Using the fast current discharge in the Divertor Tokamak Test Toroidal Field (DTT TF) coils as a reference scenario, the following method has been applied: the uncertainty on the parameters of the Fast Discharge Unit (FDU) varistor disks is propagated to the simulated electrical and electromagnetic relevant effects. Eventually, two worst-case scenarios are analyzed from a thermal–hydraulic point of view with the 4C code, simulating a fast current discharge as a consequence of a coil quench. It has been demonstrated that the uncertainty on the inputs (varistor parameters) strongly propagates, leading to a wide range of possible scenarios in the case of accidental transients. This result underlines the necessity of taking into account and propagating all possible uncertainties in the design of a fusion reactor according to the Best Estimate Plus Uncertainty approach. The uncertainty propagation from input data to electrical, electromagnetic, and thermal hydraulic results, using surrogate models, is the first of its kind in the field of the modeling of superconducting magnets for nuclear fusion applications. Full article
(This article belongs to the Section Energy Science and Technology)
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Figure 1

Figure 1
<p>DTT TF coil geometry: view of the coil structure (<b>left</b>) and cross sections where dimensions and pancake numbering are highlighted (<b>right</b>).</p>
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<p>Logical connections between the three aspect of physics (and sub-blocks) and related results.</p>
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<p>Statistical distribution of (<b>a</b>) <math display="inline"><semantics> <mi>τ</mi> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <msup> <mi>I</mi> <mn>2</mn> </msup> <mspace width="0.166667em"/> <mi>·</mi> <mspace width="0.166667em"/> <mi>t</mi> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>V</mi> <mrow> <mi>F</mi> <mi>D</mi> <mi>U</mi> </mrow> </msub> </mrow> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>V</mi> <mrow> <mi>T</mi> <mi>F</mi> </mrow> </msub> </mrow> </semantics></math> obtained with the MC method.</p>
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<p>Statistical distribution of (<b>a</b>) <math display="inline"><semantics> <mi>τ</mi> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <msup> <mi>I</mi> <mn>2</mn> </msup> <mspace width="0.166667em"/> <mi>·</mi> <mspace width="0.166667em"/> <mi>t</mi> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>V</mi> <mrow> <mi>F</mi> <mi>D</mi> <mi>U</mi> </mrow> </msub> </mrow> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>V</mi> <mrow> <mi>T</mi> <mi>F</mi> </mrow> </msub> </mrow> </semantics></math> obtained with the PCE method. Comparisons between performances of different PCE quadrature orders are shown for each distribution.</p>
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<p>Average evolution of (<b>a</b>) current and (<b>b</b>) <math display="inline"><semantics> <mrow> <msup> <mi>I</mi> <mn>2</mn> </msup> <mspace width="0.166667em"/> <mi>·</mi> <mspace width="0.166667em"/> <mi>t</mi> </mrow> </semantics></math> with respective 1–99% confidence range evaluated with PCE.</p>
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<p>Statistical distribution of (<b>a</b>) peak of the power deposition and of (<b>b</b>) deposited energy, obtained using PCE with quadrature order 3.</p>
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<p>Average evolution of the power deposited within the TF coil casing with its 1–99% confidence range evaluated with PCE.</p>
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<p>Map of (<b>a</b>) <math display="inline"><semantics> <mi>τ</mi> </semantics></math> and (<b>b</b>) energy deposited in the coil casing in the <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>,</mo> <mi>β</mi> </mrow> </semantics></math> plane.</p>
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<p>Evolution of (<b>a</b>) current and (<b>b</b>) total power deposited in the coil casing during the two WCSs.</p>
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<p>Voltage evolution computed in pancakes 5, 6, and 7 in both WCS1 and WCS2. The current evolution for WCS1 (solid) and WCS2 (dashed) is also plotted, to be read on the right axis.</p>
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<p>Maximum hot spot temperature reached in each pancake during the transient for both WCS1 and WCS2.</p>
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15 pages, 10287 KiB  
Article
Diamagnetic Screening in the Electromagnetic Turnout Switch for a High-Temperature Superconducting Maglev System
by Anastasiia A. Gerasimenko, Can Peng, Hao Lu, Vadim O. Korchagin, Xiwen Zhang, Haitao Li and Zigang Deng
Sustainability 2023, 15(20), 15076; https://doi.org/10.3390/su152015076 - 19 Oct 2023
Viewed by 1085
Abstract
Maglev systems represent a cutting-edge high-speed transport technology, and turnout switches play a critical role in the creation of a highly branched network. There are two common types of turnouts for high-temperature superconducting (HTS) Maglev systems: mechanical and electromagnetic. Due to the many [...] Read more.
Maglev systems represent a cutting-edge high-speed transport technology, and turnout switches play a critical role in the creation of a highly branched network. There are two common types of turnouts for high-temperature superconducting (HTS) Maglev systems: mechanical and electromagnetic. Due to the many advantages, an electromagnetic turnout is a better choice for a Maglev system than a mechanical one. However, there is a difference in the distribution of the magnetic field over the turnout area and the permanent magnetic track, which cannot meet the safety requirements of the Maglev system. This article proposes a modernized design of an electromagnetic switch based on previously proposed optimization solutions by placing a diamagnetic screen between two electromagnetic poles of an electromagnet, thereby reducing the scattering fluxes between them. The method of diamagnetic screening and experimental methodology are described in this article. The experiment was carried out using a three-dimensional magnetic field scanner to provide results on the distribution of the magnetic field and the increase in the magnetic induction value over the electromagnet poles. Thus, this article provides valuable suggestions for improving the design of the electromagnetic turnout of HTS Maglev systems. Moreover, the proposed method can be applied to any magnetic device or electric machine with an open magnetic circuit. Full article
(This article belongs to the Section Sustainable Transportation)
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Figure 1
<p>Existing electromagnet components for the electromagnetic turnout switch include: 1—magnetic circuit, 2—coils (the section is created utilizing an XZ plane of symmetry) [<a href="#B15-sustainability-15-15076" class="html-bibr">15</a>,<a href="#B20-sustainability-15-15076" class="html-bibr">20</a>].</p>
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<p>Magnetic field distribution in the upper segment of the magnetic circuit of the existing electromagnet without a diamagnetic screen between the two magnetic poles.</p>
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<p>The simulation outcome for magnetic induction components in the air gap above the electromagnet’s magnetic poles without a diamagnetic screen: <span class="html-italic">Bx</span> represents the horizontal induction component, <span class="html-italic">|Bz|</span> denotes the vertical induction component, and <span class="html-italic">Bmag</span> signifies the overall magnetic induction.</p>
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<p>(<b>a</b>) The original circuit for the electromagnet, excluding a diamagnetic screen; (<b>b</b>) the replacement circuit for the electromagnet, featuring a diamagnetic screen; IN represents magnetomotive force; <span class="html-italic">Rm</span>1, <span class="html-italic">Rm</span>2, <span class="html-italic">Rm</span>3 signify the magnetic resistance of the magnetic circuit; <span class="html-italic">Φ</span>, <span class="html-italic">Φ</span>1, <span class="html-italic">Φ</span>2 denote the magnetic flux.</p>
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<p>Existing electromagnet with a diamagnetic screen between the two magnetic poles.</p>
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<p>Magnetic field distribution in the upper segment of the existing electromagnet’s magnetic circuit with a diamagnetic screen between magnetic poles.</p>
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<p>(<b>a</b>) The magnetic field distribution of a diamagnetic screen; (<b>b</b>) diagram of the changes in the internal current of a diamagnetic screen.</p>
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<p>The simulation outcome for magnetic induction components in the air gap above the electromagnet’s magnetic poles, with a diamagnetic screen, includes <span class="html-italic">Bx</span> representing the horizontal induction component, |<span class="html-italic">Bz|</span> signifying the vertical induction component, and <span class="html-italic">Bmag</span> denoting the overall magnetic induction.</p>
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<p>The percentage change in the magnetic field above the poles from the relative magnetic permeability of the diamagnetic screen placed between the poles.</p>
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<p>(<b>a</b>) Model of the scattering flows between the poles using permanent magnets; (<b>b</b>) the main (working) flows and scattering flows between two electromagnetic poles of the electromagnet.</p>
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<p>Screening (redirection) of the scattering flows by a diamagnetic screen (superconducting) (<b>a</b>) between two permanent magnets, and (<b>b</b>) between two electromagnetic poles of the electromagnet.</p>
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<p>The experimental setup with a diamagnetic screen: 1—magnetic circuit, 2—coils, 3—magnetic poles, 4—plastic container (cooling bath), 5—diamagnetic screen.</p>
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<p>Two options for assembling a diamagnetic screen from small-sized elements (dark orange and light orange—small-sized elements superconducting; gray—bath with refrigerant): (<b>a</b>) joint, (<b>b</b>) overlap.</p>
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<p>The experiment to optimize the existing electromagnet using a diamagnetic screen involved measurements conducted with a gaussmeter. The experiment consisted of two phases: (<b>a</b>) the electromagnet without a diamagnetic screen between magnetic poles; (<b>b</b>) the electromagnet with a diamagnetic screen between magnetic poles.</p>
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<p>(<b>a</b>) Experimental setup with a magnetic field scanner for the electromagnet’s diamagnetic screening experiment; (<b>b</b>) side view of the electromagnet setup with a diamagnetic screen.</p>
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<p>The power supply readings during the experiment.</p>
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<p>The magnetic induction component graph at 5 mm above the magnetic poles, both with and without a diamagnetic screen.</p>
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<p>The magnetic induction component graph at 10 mm above the magnetic poles, both with and without a diamagnetic screen.</p>
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<p>The magnetic induction component graph at 15 mm above the magnetic poles, both with and without a diamagnetic screen.</p>
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<p>Enlarged photo of one part of the superconductor that was used in the experiment.</p>
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<p>Enlarged photo of a cooling bath with a diamagnetic screen; some loose fittings of the superconductor parts can be seen.</p>
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18 pages, 1597 KiB  
Review
A Review of Technology Readiness Levels for Superconducting Electric Machinery
by Bárbara Maria Oliveira Santos, Fernando Jorge Monteiro Dias, Frederic Trillaud, Guilherme Gonçalves Sotelo and Rubens de Andrade Junior
Energies 2023, 16(16), 5955; https://doi.org/10.3390/en16165955 - 12 Aug 2023
Cited by 8 | Viewed by 2029
Abstract
Superconducting electric machines (SEMs) have the potential to be commercially available in the coming years. This commercialization depends on the availability of high-temperature superconductors (HTS) produced on a large scale. HTSs have high current densities and low losses, making them the leading technology [...] Read more.
Superconducting electric machines (SEMs) have the potential to be commercially available in the coming years. This commercialization depends on the availability of high-temperature superconductors (HTS) produced on a large scale. HTSs have high current densities and low losses, making them the leading technology choice for future light and compact high-power-density superconducting rotating machines, with a particular niche for high torque at low frequency. The advantages of SEM in its fully superconducting design or hybrid configuration (conventional stator, superconducting rotor) inherit from the characteristics of the superconductor material. So, they can show greater efficiency at a higher power density and lighter frame than their conventional counterparts for an equivalent power rating. Applications like electric aircraft, naval propulsion, and wind turbines, among others, are likely to use SEMs if the rated power has to be increased beyond what is technically available with conventional technology. In this context, this paper reviews SEMs and their applications. However, it also aims to highlight the main the literature projects with a minimal Technology Readiness Level (TRL) larger than three. Due to the diversity of the superconductors’ characteristics and the variety of machines, the modes of operation of SEMs can be quite distinct from conventional machines. Taking into account such diversity, SEMs are presented and sorted out by their operational principles and the choice of superconducting material. Finally, the future perspectives of SEM are discussed. Full article
(This article belongs to the Section F: Electrical Engineering)
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<p>Normalized power law for different superconducting materials with their typical <span class="html-italic">n</span> values. The electric field is <span class="html-italic">E</span>; the current density is <span class="html-italic">J</span>. Four types of materials are represented: YBCO, with n value from [<a href="#B5-energies-16-05955" class="html-bibr">5</a>], BSCCO, with n value from [<a href="#B6-energies-16-05955" class="html-bibr">6</a>], MgB<math display="inline"><semantics><msub><mrow/><mn>2</mn></msub></semantics></math>, with n value from [<a href="#B7-energies-16-05955" class="html-bibr">7</a>], and NbTi, with n value from [<a href="#B8-energies-16-05955" class="html-bibr">8</a>].</p>
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24 pages, 1309 KiB  
Article
The Phasor Diagram of a Superconducting Synchronous Electrical Machine
by Roman Ildusovich Ilyasov
Inventions 2023, 8(3), 68; https://doi.org/10.3390/inventions8030068 - 8 May 2023
Cited by 4 | Viewed by 2451
Abstract
This paper describes a universal method proposed by the author for the evaluative analytical calculation of the main parameters of synchronous electrical machines, including superconducting ones. Traditional methods for analytical calculation of parameters to build a phasor diagram of electrical machines require a [...] Read more.
This paper describes a universal method proposed by the author for the evaluative analytical calculation of the main parameters of synchronous electrical machines, including superconducting ones. Traditional methods for analytical calculation of parameters to build a phasor diagram of electrical machines require a calculation of all dimensions of the active zone, tooth-slot zone and frontal parts of armature windings. All sizes and local states of magnetic circuit saturation are necessary for the calculation of magnetic conductivities. Traditional analytical methods use, among other things, empirical formulas and non-physical coefficients and allow one to calculate only standard machines with classic tooth-slot zones and armature winding types. As a result of drawing a phasor diagram using traditional methods, the angle between the electromotive force and voltage is calculated, which is the machine’s internal parameter and has no major significance for users. The application of modern computer programs for simulation requires a preliminary analytical calculation in order to obtain all dimensions of the three-dimensional model. FEM simulation programs are expensive, require expensive high-performance computers and highly paid skilled personnel. Fast analytical techniques are also required to assess the correctness of the obtained automatic computer simulation results. The proposed analytical method makes it possible to quickly obtain all the main parameters of a newly designed machine (including superconducting ones and those of non-traditional design) without a detailed calculation of the dimensions of the tooth-slot zone and armature end-windings. The characteristic values of load angles are set according to the results of simple calculations, and the desired values, obtained via plotting, represent the inductive resistances of armature winding and inductive voltage drop across it. Results of practical significance, calculated from the voltage diagram, are as follows: the inductor’s magnetomotive force necessary to maintain the nominal load voltage value, regardless of the magnitude (including double overload) and type of the connected load, or the main dimensions of the active zone. Full article
(This article belongs to the Special Issue Recent Advances and New Trends in Signal Processing)
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<p>Illustration of Faraday’s Law.</p>
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<p>Phasor diagram, supplemented by MMF from Potier diagram: (<b>a</b>) by Blondel; (<b>b</b>) by Behn–Eshenburg.</p>
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<p>Phasor diagram of an experimental prototype of a superconducting synchronous generator.</p>
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18 pages, 2373 KiB  
Perspective
Perspectives on Electric Machines with Cryogenic Cooling
by Fabrizio Marignetti and Guido Rubino
Energies 2023, 16(7), 2994; https://doi.org/10.3390/en16072994 - 24 Mar 2023
Cited by 4 | Viewed by 3948
Abstract
Cryogenic cooling is a well-established and expanding technology. In the field of electric machines, it allows the construction of more efficient machines with a high power density. This paper addresses the main cooling technologies and their impact on cryogenic machine construction, providing perspective [...] Read more.
Cryogenic cooling is a well-established and expanding technology. In the field of electric machines, it allows the construction of more efficient machines with a high power density. This paper addresses the main cooling technologies and their impact on cryogenic machine construction, providing perspective for their use in future electrical machines. Although cost and safety issues of cryogenic systems are still holding back the uptake of cryogenic electric motors and generators, research in this field should provide significant improvements and promote their use at different levels. Full article
(This article belongs to the Topic Advanced Electrical Machines and Drives Technologies)
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<p>Electric machine with rotating cryostat for rotor cooling.</p>
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<p>Electric machine cooled in the cryostat.</p>
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<p>Typical structure of the pumped two-phase (P2P) cooling.</p>
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<p>Map of cryocooler applications in the plane of refrigeration power versus temperature [<a href="#B28-energies-16-02994" class="html-bibr">28</a>].</p>
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<p>Thermal conductivity of selected classes of materials (ASM 1983) [<a href="#B48-energies-16-02994" class="html-bibr">48</a>].</p>
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<p>Behavior of the semiconductor switch at cryogenic temperatures (Data adapted from [<a href="#B50-energies-16-02994" class="html-bibr">50</a>]).</p>
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<p>Cryocooler’s actual performance at 80 K [<a href="#B28-energies-16-02994" class="html-bibr">28</a>].</p>
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<p>Efficiency of small cryocoolers &lt;10 kW [<a href="#B28-energies-16-02994" class="html-bibr">28</a>].</p>
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16 pages, 6834 KiB  
Article
Blanket Cooling of a Fusion Reactor
by Robert Beaufait and Ludger Fischer
Energies 2023, 16(4), 1890; https://doi.org/10.3390/en16041890 - 14 Feb 2023
Cited by 1 | Viewed by 4116
Abstract
Nuclear fusion is the gateway to a whole new paradigm of energy and is a strong candidate for the decarbonization of electricity generation on a global scale. With recent developments in high-temperature super-conducting magnets, the race is on to develop sub-systems which will [...] Read more.
Nuclear fusion is the gateway to a whole new paradigm of energy and is a strong candidate for the decarbonization of electricity generation on a global scale. With recent developments in high-temperature super-conducting magnets, the race is on to develop sub-systems which will support a commercially viable fusion reactor for use as a thermal power plant. The fusion of lighter elements creates an enormous amount of heat which must be transferred away from the reactor core. These intense conditions require novel approaches to efficiently transfer very high heat loads into useable thermal energy without compromising the structural integrity of the reactor core and the surrounding components. This report outlines the concept of a fundamental approach to solve the heat transfer problem as proposed by Commonwealth Fusion System’s design for a fusion reactor. A literature review was conducted for other applications that could serve as inspirations, as well as material properties and machining methods for the proposed power exhaust system. A dive into the theoretical thermodynamic and fluid dynamic characteristics of plate heat exchangers and finned surfaces was conducted from a fundamental perspective. A laminar flow regime was studied for the purpose of setting the floor for energy needed to pump coolant while simultaneously representing the least favorable heat transfer regime between a solid surface and a fluid. The results served as a basis for dimensioning and executing numerical simulations as a means for a first look into a solution of this heat transfer problem. The results were compared with the theoretical conclusions and judged based on constraints of the system. Recommendations were made for the continued development of a corresponding system. Full article
(This article belongs to the Section J1: Heat and Mass Transfer)
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<p>General design concept with distribution channels (the <b>left</b> one semitransparent for better insight into the <b>lower</b> grid).</p>
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<p>Generalized heat exchanger temperature profile.</p>
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<p>Dependence of LMTD and <span class="html-italic">h<sub>min</sub></span> with Δ<span class="html-italic">T<sub>fluid</sub></span> and <math display="inline"><semantics> <mover accent="true"> <mi>m</mi> <mo>˙</mo> </mover> </semantics></math><sub>min</sub>/<span class="html-italic">A</span>.</p>
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<p>Dependence of <math display="inline"><semantics> <mrow> <msub> <mi>α</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> on the thickness of the inner layer of tungsten and Equation (5).</p>
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<p>Increased surface area relative to a flat surface by use of fins.</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mi>α</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> as a function of area ratio <span class="html-italic">A<sub>r</sub></span> and tungsten shell thickness.</p>
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<p>Surface efficiency of rectangular fins on a flat plate.</p>
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<p>Proposed heat sink for the cooling of a laser mirror.</p>
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<p>HVDC thyristor heat sink [<a href="#B26-energies-16-01890" class="html-bibr">26</a>].</p>
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<p>(<b>a</b>) Simple schematic of PEX in operation; (<b>b</b>) detailed illustration of PEX cooling the vacuum vessel.</p>
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<p>Conceptual design of the ARC reactor [<a href="#B27-energies-16-01890" class="html-bibr">27</a>].</p>
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<p>Conceptual design for the PEXS on the divertor leg.</p>
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<p>(<b>a</b>) Cross-section of ∩-type lower channel; (<b>b</b>) perspective of ∩-type lower channel.</p>
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<p>Flow regime as set-up in COMSOL Multiphysics.</p>
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<p>Example of a 20-inlet geometry.</p>
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<p>Average outlet temperatures for each simulated geometry.</p>
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15 pages, 3250 KiB  
Article
Feasible and Optimal Design of an Airborne High-Temperature Superconducting Generator Using Taguchi Method
by Xiaoyi Zhou, Shengnan Zou, Shoujun Song, Wei Chen, Zhanjun Chen, Jiaojiao Xu and Ming Yan
Electronics 2022, 11(12), 1901; https://doi.org/10.3390/electronics11121901 - 17 Jun 2022
Viewed by 1667
Abstract
Aircraft electrification has become a tendency with demands for low carbon emissions and high electrical load capacity nowadays. Aircraft are especially strict with onboard weight; as a result, high-temperature superconducting (HTS) electrical machines are drawing attention for airborne applications due to their potential [...] Read more.
Aircraft electrification has become a tendency with demands for low carbon emissions and high electrical load capacity nowadays. Aircraft are especially strict with onboard weight; as a result, high-temperature superconducting (HTS) electrical machines are drawing attention for airborne applications due to their potential for a significant increase in power density. In this study, a feasible scheme of a hybrid-HTS airborne synchronous generator was proposed to fulfill the requirements of a small aircraft (with fewer than eight seats and a maximum range of about 1000 km). The full design from top to bottom is described. The output characteristics and metallic and superconducting AC losses were calculated based on the finite element method. The power grade of 1 MW was obtained, with a power density of 9.27 kW/kg and an efficiency of 98.73%. Furthermore, the performance of the machine was optimized using the Taguchi method. The preliminary design demonstrated the possibility and benefits of hybrid-HTS machines for airborne applications. Full article
(This article belongs to the Section Semiconductor Devices)
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<p>The design process of an HTS electric machine.</p>
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<p>Structure of hybrid-HTS generator (without cooling system).</p>
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<p>Magnetic flux cloud map showing the distribution of flux density and magnetic induction line.</p>
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<p>The flux density of rotor and air gap.</p>
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<p>The flux density of stator. Sampling points were at the four corners of the stator coil.</p>
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<p>The three-phase stator voltage with load (10 ohms per phase).</p>
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<p>The generator model’s magnetic field is sampled and injected into the coil model.</p>
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<p>The cooling system. Each HTS coil was housed in a modular pipe and cooled by circulating liquid hydrogen. All pipes eventually connected to the same liquid hydrogen storage tank.</p>
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<p>Temperature distribution in the coil model.</p>
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<p><span class="html-italic">J</span>/<span class="html-italic">J</span><sub>c</sub>(<span class="html-italic">B</span>) distribution in the coil model.</p>
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<p>Instantaneous AC loss in the coil model.</p>
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30 pages, 4048 KiB  
Review
Plasma and Superconductivity for the Sustainable Development of Energy and the Environment
by Henryka Danuta Stryczewska, Mariusz Adam Stępień and Oleksandr Boiko
Energies 2022, 15(11), 4092; https://doi.org/10.3390/en15114092 - 2 Jun 2022
Cited by 12 | Viewed by 4248
Abstract
The main aim of this review is to present the current state of the research and applications of superconductivity and plasma technologies in the field of energy and environmental protection. An additional goal is to attract the attention of specialists, university students and [...] Read more.
The main aim of this review is to present the current state of the research and applications of superconductivity and plasma technologies in the field of energy and environmental protection. An additional goal is to attract the attention of specialists, university students and readers interested in the state of energy and the natural environment and in how to protect them and ensure their sustainable development. Modern energy systems and the natural environment do not develop in a sustainable manner, thus providing future generations with access to energy that is generated from renewable sources and that does not degrade the natural environment. Most of the energy technologies used today are based on non-renewable sources. Power contained in fuel is irretrievably lost, and the quality of the energy is lowered. It is accompanied by the emissions of fossil fuel combustion products into the atmosphere, which pollutes the natural environment. Environmental problems, such as the production of gaseous and solid pollutants and their emission into the atmosphere, climate change, ozone depletion and acid rains, are discussed. For the problem of air pollution, the effects of combustion products in the form of carbon oxides, sulfur and nitrogen compounds are analyzed. The plasma and superconductivity phenomena, as well as their most important parameters, properties and classifications, are reviewed. In the case of atmospheric pressure plasma generation, basic information about technological gas composition, pressure, discharge type, electromagnetic field specification, electrode geometry, voltage supply systems, etc., are presented. For the phenomenon of superconductivity, attention is mainly paid to the interdependencies between Tc, magnetic flux density Bc and current density Jc parameters. Plasma technologies and superconductivity can offer innovative and energy-saving solutions for power engineering and environmental problems through decreasing the effects of energy production, conversion and distribution for the environment and by reductions in power losses and counteracting energy quality degradation. This paper presents an overview of the application of technologies using plasma and superconductivity phenomena in power engineering and in environmental protection processes. This review of plasma technologies, related to reductions in greenhouse gas emissions and the transformation and valorization of industrial waste for applications in energy and environmental engineering, is carried out. In particular, the most plasma-based approaches for carbon oxides, sulfur and nitrogen compounds removal are discussed. The most common plasma reactors used in fuel reforming technologies, such as dielectric barrier discharge, microwave discharge and gliding-arc discharge, are described. The advantages of solid waste treatment using plasma arc techniques are introduced. Applications of superconductors for energy generation, conversion and transmission can be divided into two main groups with respect to the conducted current (DC and AC) and into three groups with respect to the employed property (zero resistivity, ideal magnetism/flux trapping and quench transition). Among the superconductivity applications of electrical machines, devices for improving energy quality and storage and high field generation are described. An example that combines the phenomena of hot plasma and superconductivity is thermonuclear fusion. It is a hope for solving the world’s energy problems and for creating a virtually inexhaustible, sustainable and waste-free source of energy for many future generations. Full article
(This article belongs to the Section F: Electrical Engineering)
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<p>An example of a conventional energy system.</p>
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<p>Thermodynamic scale of temperatures with marked phenomena of plasma and superconductivity.</p>
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<p>An example of the surface of critical parameters in a superconducting material.</p>
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<p>Plasma-based direct air capture of CO<sub>2</sub> for energy storage via syngas production. Reproduced from reference [<a href="#B64-energies-15-04092" class="html-bibr">64</a>], published under the license CC BY 4.0.</p>
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<p>Most common configuration for plasma reactors in DEG treatment applications. The arrows show the trajectories of the ionized particles after collisions from the treatment gas inlet to the outlet. Reproduced from reference [<a href="#B76-energies-15-04092" class="html-bibr">76</a>], published under the license CC BY 4.0.</p>
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<p>Experimental apparatus for indirect plasma treatment of NO<sub>x</sub>. Reproduced with permission from [<a href="#B100-energies-15-04092" class="html-bibr">100</a>], Elsevier, 2022.</p>
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<p>Experimental setup of the online combustion system: (<b>A</b>) overpressure safety section, (<b>B</b>) falling-film glass-tube column, (<b>C</b>) hollow fiber gas device, (<b>D</b>) commercial desolvation device. Reproduced from reference [<a href="#B103-energies-15-04092" class="html-bibr">103</a>], published under the license CC BY 3.0.</p>
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<p>Block diagram of syngas production from sewage sludge using plasma reformer technology, prepared on the basis of the data contained in [<a href="#B60-energies-15-04092" class="html-bibr">60</a>].</p>
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<p>Solid waste treatment using plasma arc. Reproduced from reference [<a href="#B15-energies-15-04092" class="html-bibr">15</a>] published under the license CC BY-NC-ND 4.0.</p>
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<p>Different structures of armature winding designs for PM-excited machines. Reproduced with permission from [<a href="#B108-energies-15-04092" class="html-bibr">108</a>], IOS Press, 2022.</p>
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<p>Schematic diagram of a superconducting magnetic separator: carousel type. Reproduced from [<a href="#B1-energies-15-04092" class="html-bibr">1</a>] with the permission from the author H. D. Stryczewska.</p>
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<p>Schematic representation of thermonuclear fusion. The arrows indicate the directions of the flow of media in the form of sea water and the deuterium and tritium ions produced on its basis, starting from the water reservoir and ending with the fusion reactor. Reproduced with permission from [<a href="#B125-energies-15-04092" class="html-bibr">125</a>], e-magazyny.pl, 2022.</p>
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30 pages, 4812 KiB  
Review
High Temperature Superconducting Flux Pumps for Contactless Energization
by Zezhao Wen, Hongye Zhang and Markus Mueller
Crystals 2022, 12(6), 766; https://doi.org/10.3390/cryst12060766 - 26 May 2022
Cited by 24 | Viewed by 5229
Abstract
The development of superconducting technology has seen continuously increasing interest, especially in the area of clean power systems and electrification of transport with low CO2 emission. Electric machines, as the major producer and consumer of the global electrical energy, have played a [...] Read more.
The development of superconducting technology has seen continuously increasing interest, especially in the area of clean power systems and electrification of transport with low CO2 emission. Electric machines, as the major producer and consumer of the global electrical energy, have played a critical role in achieving zero carbon emission. The superior current carrying capacity of superconductors with zero DC loss opens the way to the next-generation electric machines characterized by much higher efficiency and power density compared to conventional machines. The persistent current mode is the optimal working condition for a superconducting magnet, and thus the energization of superconducting field windings has become a crucial challenge to be tackled, to which high temperature superconducting (HTS) flux pumps have been proposed as a promising solution. An HTS flux pump enables current injection into a closed superconducting coil wirelessly and provides continuous compensation to offset current decay, avoiding excessive cryogenic losses and sophisticated power electronics facilities. Despite many publications regarding the design and analyses of various types of HTS flux pumps, the practical application of HTS flux pumps in a high-performance superconducting machine has been rarely reported. Therefore, it is of significance to specify the main challenges for building and implementing a reliable HTS flux pump. In addition, the physical mechanisms of distinct HTS flux pumps have caused some confusion, which should be clarified. Above all, a systematic review of the recent development and progress of HTS flux pumps remains lacking. Given the above-mentioned issues, this paper summarized the most up-to-date advances of this emerging technology, clarified the working mechanisms and commonly adopted modeling approaches, presented objective analyses of the applicability of various HTS flux pumps, specified the primary challenges for implementing HTS flux pumps, and proposed useful suggestions to improve this wireless excitation technology. The overall aim of this work is to bring a deep insight into the understanding of HTS flux pumps and provide comprehensive guidance for their future research and applications. Full article
(This article belongs to the Special Issue Research on High-Temperature Superconducting Materials)
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<p>Illustration of flux pumping for LTSCs. Stage for (<b>a</b>) bringing flux into loop L1, (<b>b</b>) transferring flux into loop L2.</p>
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<p>Illustration of magnetic switching for an LTS flux pump.</p>
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<p>(<b>a</b>) Schematic diagram, (<b>b</b>) equivalent circuit for travelling wave HTS flux pump.</p>
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<p>Cross section view of a rotary HTS flux pump equipped with two PMs.</p>
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<p>Cross section diagram for different HTS dynamo configurations: (<b>a</b>) axial flux geometry with non-uniform airgap, (<b>b</b>) axial flux geometry with uniform geometry, (<b>c</b>) radial flux geometry with uniform airgap (the rotating plane is perpendicular to the paper).</p>
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<p>Schematic diagram for a linear HTS flux pump.</p>
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<p>Electric circuit for analyzing the voltage generation.</p>
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<p>Schematic diagram illustrating the circulating current as the magnet rotates over the HTS tape (<b>a</b>) vertical view, (<b>b</b>) front view, (<b>c</b>) circuit sketch.</p>
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<p>Coupling features including the ramping up of vortex density and misalignment between applied pole and coupled cluster. Adapted from [<a href="#B80-crystals-12-00766" class="html-bibr">80</a>].</p>
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<p>Illustration of the modeling framework for an HTS dynamo (cross section view), and the golden arrows identify the polarization of PM, the blue twisted arrow means the rotating direction of the disc.</p>
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<p>Circuit diagram for a transformer-rectifier HTS flux pump (red arrows denote the applied magnetic field).</p>
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<p>Structure diagram of an AC field switched transformer-rectifier HTS flux pump.</p>
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<p>Magnetic profile inside an HTS conductor when it carries a DC current under an AC magnetic field. (<b>a</b>) The applied field <math display="inline"><semantics> <mrow> <msub> <mi>B</mi> <mrow> <mi>e</mi> <mi>x</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> is smaller than the threshold <math display="inline"><semantics> <mrow> <msub> <mi>B</mi> <mrow> <mi>t</mi> <mi>h</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>b</b>) the applied field <math display="inline"><semantics> <mrow> <msub> <mi>B</mi> <mrow> <mi>e</mi> <mi>x</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> exceeds the threshold <math display="inline"><semantics> <mrow> <msub> <mi>B</mi> <mrow> <mi>t</mi> <mi>h</mi> </mrow> </msub> </mrow> </semantics></math> and creates the dynamic region. Adapted from [<a href="#B121-crystals-12-00766" class="html-bibr">121</a>].</p>
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<p>Visualization of the <b><span class="html-italic">E-J</span></b> relation, the red arrow means that the flux flow regime appears after transport current exceeds the critical current density.</p>
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<p>Illustration of the experimental set up for a thermal actuated HTS flux pump. Adapted from [<a href="#B48-crystals-12-00766" class="html-bibr">48</a>].</p>
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<p>(<b>a</b>) Structure diagram of a pulse-type HTS flux pump. Adapted from [<a href="#B125-crystals-12-00766" class="html-bibr">125</a>]. (<b>b</b>) Experimental configuration of the linear HTS flux pump. Adapted from [<a href="#B130-crystals-12-00766" class="html-bibr">130</a>].</p>
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<p>Configuration of the rotary HTS flux pump-based module coil. (<b>a</b>) overview (<b>b</b>) cross section view, of a separated unit of HTS field coils. Reprinted from [<a href="#B139-crystals-12-00766" class="html-bibr">139</a>].</p>
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<p>(<b>a</b>) Sectioned view of the AC homopolar motor/generator, (<b>b</b>) rotary HTS flux pump concept to be integrated with the field coil. Reprinted from [<a href="#B140-crystals-12-00766" class="html-bibr">140</a>].</p>
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8 pages, 2874 KiB  
Article
Design, Build, and Evaluation of an AC Loss Measurement Rig for High-Speed Superconducting Bearings
by Mohammad Siamaki, James G. Storey, Lars Wiesehoefer and Rodney A. Badcock
Energies 2022, 15(4), 1427; https://doi.org/10.3390/en15041427 - 15 Feb 2022
Cited by 2 | Viewed by 1884
Abstract
Friction and heat generated in conventional bearings impose a limit on maximum design speed in electrical machines. Superconducting bearings offer the potential for low loss, simplified, and passively stable bearings that can overcome the speed limit and operate at high loads. Although such [...] Read more.
Friction and heat generated in conventional bearings impose a limit on maximum design speed in electrical machines. Superconducting bearings offer the potential for low loss, simplified, and passively stable bearings that can overcome the speed limit and operate at high loads. Although such bearings are contactless and seem to be loss free, AC loss mainly caused by magnetic field inhomogeneity gradually slows down the rotating body. This loss, whose mechanism has not been fully explored, is measured through spin-down tests where the rotational speed of the spinning rotor is measured as a function of time. However, there are some challenges in performing a reliable spin-down test. In this paper, we discuss these challenges as well as the engineering of an experimental test rig that enables us to spin-up, release, and recapture the levitated permanent magnet. We also discuss the specifications of the driving mechanism including the self-aligning coupling, which accommodates permanent magnets of different sizes. Initial test results at 6600 rpm are discussed and further technical improvements to the test rig suggested. This rig will be used as a key tool to explore the AC loss mechanism and inform the design of bearings for high-speed superconducting machines. Full article
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<p>Schematic demonstration of the test rig (<b>a</b>), the driving system (<b>b</b>), and a photo of the driving system (<b>c</b>).</p>
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<p>The magnetic field measurement setup (<b>a</b>), and the magnetic field of the 17 mm PM at <math display="inline"><semantics> <mrow> <mn>2.5</mn> </mrow> </semantics></math> mm distance from its surface (<b>b</b>).</p>
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<p>Spin-down experiment process.</p>
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<p>PM spin-down after being released at 110Hz.</p>
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<p>Vertical oscillations of the PM.</p>
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16 pages, 5740 KiB  
Article
An Electromagnetic Design of a Fully Superconducting Generator for Wind Application
by Yingzhen Liu, Francesco Grilli, Jiwei Cao, Liyi Li, Chengming Zhang, Mingyi Wang, Fengyu Xu, Jingbo Lin and Mathias Noe
Energies 2021, 14(22), 7811; https://doi.org/10.3390/en14227811 - 22 Nov 2021
Cited by 9 | Viewed by 2779
Abstract
A fully superconducting wind generator employs superconductors in stator and rotor to enable high torque density and low weight, that is, enable an ultra-light electric machine for wind application. However, the level of the AC loss of the stator armature coils is a [...] Read more.
A fully superconducting wind generator employs superconductors in stator and rotor to enable high torque density and low weight, that is, enable an ultra-light electric machine for wind application. However, the level of the AC loss of the stator armature coils is a critical issue, which lacks investigations in the design of the fully superconducting generators. In this paper, an in-house model was developed to analyze the potential of a fully superconducting generator by integrating the electromagnetic design with the AC loss estimation. The electromagnetic model was made through analytical equations, which take into consideration the geometry, the magnetic properties of iron, and the nonlinear E–J constitutive law of superconductors. Since the permeability of iron materials and the critical current of the superconductors depend on the magnetic field, an iteration process was proposed to find their operating points for every electromagnetic design. The AC loss estimation was carried out through finite element software based on the T–A formulation of Maxwell’s equations instead of analytical equations, due to the complexity of magnetic fields, currents and rotation. The results demonstrate that the design approach is viable and efficient, and is therefore useful for the preliminary design of the generator. In addition, it is found that smaller tape width, larger distance between the superconducting coils in the same slot, smaller coil number in one slot and lower working temperature can reduce the AC loss of the stator coils, but the reduction of the AC loss needs careful design to achieve an optimum solution. Full article
(This article belongs to the Special Issue Electrical Machine Design 2021)
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<p>The structure of the generator.</p>
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<p>The general procedure of the design model.</p>
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<p>Illustration of the generator’s geometry.</p>
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<p><span class="html-italic">B</span><span class="html-italic">–H</span> curve of M235-35A from Stiefelmayer-Lasertechnik GmbH at 50 Hz.</p>
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<p>Proposed iteration process of operating-point determination.</p>
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<p>User interface of the design model of fully superconducting generators.</p>
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<p>The active material weight, superconductor length, and AC loss of the stator coils as a function of air-gap diameter and pole pair number: (<b>a</b>) active material weight, (<b>b</b>) superconductor length, (<b>c</b>) stator coil AC loss without end windings, and (<b>d</b>) stator coil AC loss including end windings.</p>
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<p>Design results of the 10 MW fully superconducting wind generators: (<b>a</b>) scatter points of AC loss of stator coils and superconductor length, (<b>b</b>) scatter points of active material weight and superconductor length.</p>
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<p>The instantaneous power dissipation (W/m<sup>3</sup>) reach the maximum in one period and magnetic field (red arrows) with tape width of 4 mm, 2 mm, and 1 mm, from left to right.</p>
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<p>AC loss of stator coils as a function of distance between coils in one slot.</p>
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<p>The instantaneous power dissipation (W/m<sup>3</sup>) reach the maximum in one period and magnetic field (red arrows).</p>
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<p>The instantaneous power dissipation (W/m<sup>3</sup>) reach the maximum in one period and magnetic field (red arrows) with 2 coils and 4 coils in one slot from left to right.</p>
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<p>The AC loss of the stator coils and the equivalent loss at 300 K as a function of temperature: (<b>a</b>) The AC loss of the stator coils at cryogenic temperature, (<b>b</b>) The equivalent AC loss of stator coils at 300 K.</p>
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<p>The instantaneous power dissipation (W/m<sup>3</sup>) reach the maximum in one period at different working temperature.</p>
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