The Modeling of Magnetic Fields in Electromagnetic Microgenerators Using the Finite Element Method
"> Figure 1
<p>The construction scheme of the electromagnetic microgenerator.</p> "> Figure 2
<p>The cross-section through the electromagnetic microgenerator.</p> "> Figure 3
<p>Disc with 28 permanent neodymium magnets: (<b>a</b>) design; (<b>b</b>) manufacturing; (<b>c</b>) distribution of magnetic flux density above the disc at a 20 mm distance from its center (measurement and simulation).</p> "> Figure 4
<p>FEM model in Comsol: (<b>a</b>) example system geometry; (<b>b</b>) magnetic flux density surroundings magnets.</p> "> Figure 5
<p>Magnetic configurations.</p> "> Figure 6
<p>Magnetic field simulation points.</p> "> Figure 7
<p>Magnetic flux density as a function of arc length for MP configuration (10 × 2 × 1.5 mm<sup>3</sup>) for different distances from the surface of the target with magnets (black—16 mm, red—18 mm, blue—20 mm, green—22 mm, and violet—24 mm, from the center of the target as is in <a href="#energies-15-01014-f006" class="html-fig">Figure 6</a>).</p> "> Figure 8
<p>Magnetic flux density as a function of arc length for DP configuration (10 × 3 × 1.5 mm<sup>3</sup>) for different distances from the surface of the target with magnets (black—16 mm, red—18 mm, blue—20 mm, green—22 mm, and violet—24 mm, from the center of the target as is in <a href="#energies-15-01014-f006" class="html-fig">Figure 6</a>).</p> "> Figure 9
<p>Magnetic flux density as a function of arc length for MT configuration (10 × 2.7 × 1.5 × 1.5 mm<sup>3</sup>) for different distances from the surface of the target with magnets (black—16 mm, red—18 mm, blue—20 mm, green—22 mm, and violet—24 mm, from the center of the target as is in <a href="#energies-15-01014-f006" class="html-fig">Figure 6</a>).</p> "> Figure 10
<p>Magnetic flux density as a function of arc length for DT configuration (10 × 5.3 × 3 × 1.5 mm<sup>3</sup>) for different distances from the surface of the target with magnets (black—16 mm, red—18 mm, blue—20 mm, green—22 mm, and violet—24 mm, from the center of the target as is in <a href="#energies-15-01014-f006" class="html-fig">Figure 6</a>).</p> "> Figure 11
<p>Area defined by an angle of 12.85°.</p> "> Figure 12
<p>Area defined by the shape of the magnets.</p> ">
Abstract
:1. Introduction
2. Materials and Methods
3. Results
4. Discussion and Conclusions
- The total magnetic field in a single segment with a magnet is proportional to the area of the magnet;
- For magnets in the shape of a rectangular prism, the distances between adjacent magnets increase along with the distance of the analyzed point from the center of the target. At a low height above the disc, the magnetic flux density is approximately constant above the center of the magnet and decreases to zero for approximately 1 mm. For a small rectangle, it is held at this level for about 1 mm in the areas of the magnet closest to the center of the target and 2 mm at the other end of the magnet;
- For large magnets in the shape of a rectangular prism, the zero level of magnetic flux density is maintained for about 0–1 mm. There are no sections with zero magnetic induction for magnets in the shape of a trapezoidal prism;
- As a result of the rotation of the disc with magnets of various shapes over the spatially set of coils, most uniform changes in the magnetic flux density occur for large magnets in the shape of a trapezoidal prism;
- The magnetic flux density decreases non-linearly with increasing distance from the disc with magnets.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Area Variants | Configuration of Magnets/Area of a Single Magnet | 0.25 mm | 0.7 mm | 1.5 mm |
---|---|---|---|---|
Magnetic flux density in an area defined by an angle of 12.85° (Tmm2) | MP/20 mm2 | 7.60 | 5.38 | 3.09 |
DP/30 mm2 | 11.00 | 7.61 | 4.26 | |
MT/21 mm2 | 7.54 | 5.43 | 3.15 | |
DT/41.5 mm2 | 14.41 | 9.56 | 4.99 | |
Magnetic flux density in the area defined by the shape of the magnets (Tmm2) | MP/20 mm2 | 6.73 | 4.25 | 2.17 |
DP/30 mm2 | 10.28 | 6.90 | 3.71 | |
MT/21 mm2 | 6.95 | 4.50 | 2.35 | |
DT/41.5 mm2 | 14.32 | 9.51 | 4.96 |
Configuration of Magnets/Area of a Single Magnet | 0.25 mm | 0.7 mm | 1.5 mm | |
---|---|---|---|---|
Magnetic flux density ratio (%) | MP/20 mm2 | 88.59 | 79.01 | 70.23 |
DP/30 mm2 | 93.42 | 90.71 | 86.95 | |
MT/21 mm2 | 92.14 | 82.78 | 74.46 | |
DT/41.5 mm2 | 99.37 | 99.46 | 99.59 |
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Gierczak, M.; Markowski, P.M.; Dziedzic, A. The Modeling of Magnetic Fields in Electromagnetic Microgenerators Using the Finite Element Method. Energies 2022, 15, 1014. https://doi.org/10.3390/en15031014
Gierczak M, Markowski PM, Dziedzic A. The Modeling of Magnetic Fields in Electromagnetic Microgenerators Using the Finite Element Method. Energies. 2022; 15(3):1014. https://doi.org/10.3390/en15031014
Chicago/Turabian StyleGierczak, Mirosław, Piotr Marek Markowski, and Andrzej Dziedzic. 2022. "The Modeling of Magnetic Fields in Electromagnetic Microgenerators Using the Finite Element Method" Energies 15, no. 3: 1014. https://doi.org/10.3390/en15031014