Issues $\rightarrow$ Volume 27, Issue 1 (2026)

Powder Soft Magnetic Composites: Problems and Prospects

BAITALYUK B.S.$^{1}$, NOSENKO V.K.$^{1}$, YEVLASH I.K.$^{1}$, NOSENKO A.V.$^{1}$, IAKOVLEV V.E.$^{1}$, and DEKHTYARENKO V.A.$^{1,2}$

$^1$G.V. Kurdyumov Institute for Metal Physics of the N.A.S. of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^2$E.O. Paton Electric Welding Institute of the N.A.S. of Ukraine, 11 Kazymyr Malevych Str., UA-03150 Kyiv, Ukraine

Received / final version 22.10.2025 / 18.01.2026 Download PDF logo PDF

Abstract
This work is concerned with a special class of functional materials, namely, soft magnetic alloys and composites based on them. Their main advantages and disadvantages are considered. Special attention is paid to the powder soft magnetic composites, which are a mixture of ferromagnetic powder and binder (dielectric) bound into a single conglomerate, where each powder particle is surrounded by the binder and forms a continuous dielectric phase. The main factors influencing the properties of powder soft magnetic composites are determined as follow: the choice of a ferromagnet with the required magnetic properties, the use of powder particles of the required size and shape, the use of a certain type of insulator and the method of its application, the choice of pressing conditions, and the optimal heat-treatment mode. As demonstrated, the primary method for forming the soft magnetic composites is based on the powder-metallurgy techniques. The technological process of fabrication of soft magnetic composites includes the following steps: preparation of ferromagnetic powder, mixing it with a binder, pressing, heat treatment, mechanical processing, application of a protective coating, and initial control of properties.

Keywords: magnetic properties, soft magnetic composites, coercive force, magnetodielectric, magnetic circuit.

DOI: https://doi.org/10.15407/ufm.27.01.050

Citation: B.S. Baitalyuk, V.K. Nosenko, I.K. Yevlash, A.V. Nosenko, V.E. Iakovlev, and V.A. Dekhtyarenko, Powder Soft Magnetic Composites: Problems and Prospects, Progress in Physics of Metals, 27, No. 1: 50–83 (2026)

References  
  1. O. Gutfleisch, M.A. Willard, E. Brück, C.H. Chen, S.G. Sankar, and J.P. Liu, Magnetic Materials and Devices for the 21st Century: Stronger, Lighter, and More Energy Efficient, Adv. Mater., 23, No. 7: 821–842 (2011); https://doi.org/10.1002/adma.201002180
  2. B.D. Cullity and C.D. Graham, Soft Magnetic Materials, Introduction to Magnetic Materials (Hoboken: Wiley–IEEE Press: 2009), Ch. 13, pp. 439–476; https://doi.org/10.1002/9780470386323.ch13
  3. C.L. Rom, R.W. Smaha, S. O’Donnell, S. Dugu, and S.R. Bauers, Emerging Magnetic Materials for Electric-Vehicle Drive Motors, MRS Bull., 49: 738–749 (2024); https://doi.org/10.1557/s43577-024-00743-4
  4. S. Chikazumi and C.D. Graham Jr., Technical Magnetization, Physics of Ferromagnetism, 2nd ed. (Oxford: Oxford Univ. Press: 1997), Chapter 18, pp. 467–517; https://doi.org/10.1093/oso/9780198517764.003.0018
  5. M.F. Campos and J. De Castro, Comparative View of Coercivity Mechanisms in Soft and Hard Magnetic Materials, Arch. Electr. Eng., 73, No. 4: 1087–1101 (2024); https://doi.org/10.24425/aee.2024.152112
  6. F. Cardarelli, Magnetic Materials: Materials Handbook (Cham: Springer: 2018), pp. 737–775; https://doi.org/10.1007/978-3-319-38925-7_7
  7. S. Wu, W. Hu, Q. Ze, M. Sitti, and R. Zhao, Multifunctional Magnetic Soft Composites: A Review, Multifunct. Mater., 3, No. 4: 042003 (2020); https://doi.org/10.1088/2399-7532/abcb0c
  8. E.P. Wohlfarth, Hard Magnetic Materials, Adv. Phys., 8, No. 30: 87–224 (1959); https://doi.org/10.1080/00018735900101178
  9. P. Zacharias, Magnetic Properties of Materials, Magnetic Components: Basics and Applications (Wiesbaden: Springer: 2022), pp. 81–124; https://doi.org/10.1007/978-3-658-37206-4_3
  10. M.A. Zinovik and E. Zinovik, Ferrites with Rectangular and Square Hysteresis Loops, Powder Metall. Met. Ceram., 44: 66–74 (2005); https://doi.org/10.1007/s11106-005-0059-5
  11. M.J. Dapino, Magnetostrictive Materials, Encyclopedia of Smart Materials (New York: Wiley: 2002), pp. 34–41; https://doi.org/10.1002/0471216275.esm051
  12. A.N. Tantillo, A. Barcza, V. Zellmann, M. Almanza, V. Basso, M. Lo Bue, N.M. Dempsey, and K.G. Sandeman, Hard Ferromagnets as a New Perspective on Materials for Thermomagnetic Power Generation Cycles, Phys. Lett. A, 461: 128632 (2023); https://doi.org/10.1016/j.physleta.2023.128632
  13. W. Xiang, L. Jia, T. Cai, X. Han, M. Yang, and H. Zhang, Low Fired Bi–Li–V Substituted YIG Ferrite for High Power Microwave Device Application, J. Alloys Compd., 1022: 179785 (2025); https://doi.org/10.1016/j.jallcom.2025.179785
  14. J. Mohapatra, X. Liu, P. Joshi, and J.P. Liu, Hard and Semi-Hard Fe-Based Magnetic Materials, J. Alloys Compd., 955: 170258 (2023); https://doi.org/10.1016/j.jallcom.2023.170258
  15. C. Favieres, Special Issue: Soft and Hard Magnetic Materials: Latest Advances and Prospects, Magnetochemistry, 9, No. 7: 179 (2023); https://doi.org/10.3390/magnetochemistry9070179
  16. T.M. de Lima Alves, B.F. Amorim, M.A. Morales Torres, C.G. Bezerra, S.N. de Medeiros, P.L. Gastelois, L.E. Fernandez Outon, and W.A. de Almeida Macedo, Wasp-Waisted Behavior in Magnetic Hysteresis Curves of CoFe2O4 Nanopowder at a Low Temperature: Experimental Evidence and Theoretical Approach, RSC Adv., 7: 22187–22196 (2017); https://doi.org/10.1039/C6RA28727A
  17. J. Detzmeier, K. Königer, T. Blachowicz, and A. Ehrmann, Asymmetric Hysteresis Loops in Structured Ferromagnetic Nanoparticles with Hard/Soft Areas, Nanomaterials, 11, No. 3: 800 (2021); https://doi.org/10.3390/nano11030800
  18. M.A. Vasquez-Beltran, B. Jayawardhana, and R. Peletier, On the Characterization of Butterfly and Multiloop Hysteresis Behavior, IEEE Trans. Autom. Control, 67, No. 7: 3494–3506 (2022); https://doi.org/10.1109/TAC.2021.3109533
  19. A. Concha, D. Aguayo, and P. Mellado, Designing Hysteresis with Dipolar Chains, Phys. Rev. Lett., 120, No. 15: 157202 (2018); https://doi.org/10.1103/PhysRevLett.120.157202
  20. A.R. Balakrishna and R.D. James, Design of Soft Magnetic Materials, npj Comput. Mater., 8, No. 4: 1–10 (2022); https://doi.org/10.1038/s41524-021-00682-7
  21. X. Yu, H. Li, and Y. Su, Design of a Ferroelectric/Dielectric Bilayer Structure with Switchable Hysteresis via Voltage Control, Int. J. Solids Struct., 316: 113392 (2025); https://doi.org/10.1016/j.ijsolstr.2025.113392
  22. Q.-Q. Zeng, X.-T. Xu, E.-K. Liu, and Z. Qu, Asymmetric Hysteresis Loop Due to Hidden Local Magnetic State in a Weyl Semimetal, Mater. Today Phys., 51: 101642 (2025); https://doi.org/10.1016/j.mtphys.2024.101642
  23. G. Ouyang, X. Chen, Y. Liang, C. Macziewski, and J. Cui, Review of Fe–6.5 wt.%Si High Silicon Steel — A Promising Soft Magnetic Material for Sub-kHz Application, J. Magn. Magn. Mater., 481: 234–250 (2019); https://doi.org/10.1016/j.jmmm.2019.02.089
  24. Z. Guo, X. Zheng, C. Jin, Y. Fan, M. Cai, J. Zhou, W. Dong, Q. Luo, and B. Shen, A New Fe-Based Nanocrystalline Soft Magnetic Composites with Ultra-Low Core Loss and Superior DC-Bias Permeability up to Megahertz-Frequency, Mater. Today Nano, 30: 100621 (2025); https://doi.org/10.1016/j.mtnano.2025.100621
  25. X. Jin, T. Li, F. Hao, H. Cui, Z. Liu, Z. Jia, H. Shi, and D. Xue, MHz Low Loss Approach of Fe–Si Soft Magnetic Composite, J. Alloys Compd., 1027: 180610 (2025); https://doi.org/10.1016/j.jallcom.2025.180610
  26. D.-X. Chen, Anomalous Excess Loss in Soft Magnetic Composites, Eur. Phys. J. Plus, 140: 530 (2025); https://doi.org/10.1140/epjp/s13360-025-06467-x
  27. B.S. Baitalyuk, V.A. Maslyuk, S.B. Kotlyar, and Ya.A. Sytnyk, Magnetodielectrics Based on Magnetically Soft Materials. From Origins to Present, Powder Metall. Met. Ceram., 55: 496–503 (2016); https://doi.org/10.1007/s11106-016-9832-x
  28. N. Ahmed and G.J. Atkinson, A Review of Soft Magnetic Composite Materials and Applications, Proc. Int. Conf. Electr. Mach. (ICEM) (Sept. 5–8, 2022, Valencia) (Valencia: IEEE: 2022), pp. 551–557; https://doi.org/10.1109/ICEM51905.2022.9910712
  29. L. Li, Z. Gao, A. Li, J. Yi, and Y. Ge, Fabrication of Carbonyl Iron Powder/SiO2-Reduced Iron Powder/SiO2 Soft Magnetic Composites with a High Resistivity and Low Core Loss, J. Magn. Magn. Mater., 464: 161–167 (2018); https://doi.org/10.1016/j.jmmm.2018.05.053
  30. K. Li, D. Cheng, H. Yu, and Z. Liu, Process Optimization and Magnetic Properties of Soft Magnetic Composite Cores Based on Phosphated and Mixed Resin Coated Fe Powders, J. Magn. Magn. Mater., 501: 166455 (2020); https://doi.org/10.1016/j.jmmm.2020.166455
  31. S. Li, K. Peng, and L. Zou, The Improved Magnetic Properties of FeSi Powders Cores Composed with Different Size Particles, J. Mater. Sci.: Mater. Electron., 33: 607–616 (2022); https://doi.org/10.1007/s10854-021-07330-2
  32. X. Zhu, W. Liu, J. Ju, P. Xu, M. Li, X. Zhang, J. Wang, Z. Zou, and H. Su, Hot-Compacted Fe–Si Soft Magnetic Composite with Low Loss at Low Frequency, J. Mater. Sci.: Mater. Electron., 34: 1523 (2023); https://doi.org/10.1007/s10854-023-10960-3
  33. K. Wang, Z. Xu, H. Zhang, Y. Huang, P. Wu, L. Qiao, Y. Wang, F. Li, and T. Wang, Reduction of Power Loss in Easy-Plane FeSi Soft Magnetic Composite under a Weak Bias Magnetic Field, Phys. B: Condens. Matter, 675: 415611 (2024); https://doi.org/10.1016/j.physb.2023.415611
  34. S. Kang and S. Lee, Optimizing the Manufacturing Process Control of Si-Based Soft Magnetic Composites, Materials, 18, No. 10: 2321 (2025); https://doi.org/10.3390/ma18102321
  35. H. Li, G. Bai, R. Zhao, H. Yang, Z. Lu, M. Cheng, R. Su, S. Bandaru, Y. Zhang, X. Liu, Z. Li, E. Zhang, Z. Zhang, X. Liu, and X. Zhang, High-Performance FeSiAl Soft Magnetic Composites Achieved by Confined Solid-State Reaction, Acta Mater., 255: 119102 (2023); https://doi.org/10.1016/j.actamat.2023.119102
  36. R. Wang, H. Huang, K. Li, J. Yang, Z. Wu, and H. Kong, Design and Evolution of Fe–Si–Al Soft Magnetic Composites Doped with Carbonyl Iron Powders: Overcoming the Restrictive Relation Between Permeability and Core Loss, Ceram. Int., 50, No. 10: 17861–17872 (2024); https://doi.org/10.1016/j.ceramint.2024.02.274
  37. S. Zhu, Z. Wang, X. Kan, S. Feng, and X. Liu, FeNi/Glass Soft Magnetic Composites with High Magnetic Properties, J. Supercond. Nov. Magn., 35: 1165–1172 (2022); https://doi.org/10.1007/s10948-022-06166-z
  38. M.P. Nguyen, S. Yoshida, S. Okamoto, S. Muroga, T. Miyazaki, and Y. Endo, Soft Magnetic Properties of Fe–Ni Powder Cores in the High Frequency Range, AIP Adv., 14, No. 1: 015034 (2024); https://doi.org/10.1063/9.0000719
  39. Z.W. Xiong, J. Yang, Y. Wang, L. Yang, X. Guan, L.H. Cao, J. Wang, and Z.P. Gao, Preparation of FeNiMo/SiO2 Composite Core and Regulation of Soft Magnetic Properties, Acta Phys. Sin., 71, No. 15: 157502 (2022); https://doi.org/10.7498/aps.71.20212317
  40. Z. Zhou, Q. Li, M. Wen, R. Zhou, and X. Wang, Correlation of the Microstructure and Magnetic Properties of Fe–Ni–Mo Soft Magnetic Composites Fabricated via Polymer-Derived Ceramics, J. Magn. Magn. Mater., 602: 172165 (2024); https://doi.org/10.1016/j.jmmm.2024.172165
  41. A. Hanif, Measurement of Core Losses in Toroidal Inductors with Different Magnetic Materials, M.Sc. Thesis (Tampere Univ. Technol.: 2017), 74 p.
  42. M. Kazimierczuk, Magnetic Cores, High-Frequency Magnetic Components (Hoboken: Wiley: 2013), Ch. 2, pp. 81–162; https://doi.org/10.1002/9781118717806.ch2
  43. Mazaleyrat, Soft Magnetic Materials and Applications, Handbook of Magnetism and Magnetic Materials (Eds. J.M.D. Coey and S.S.P. Parkin) (Cham: Springer International Publishing: 2021), pp. 1435–1487; https://doi.org/10.1007/978-3-030-63210-6_31
  44. S. Bharadwaj and Y.K. Lakshmi, Tuning of Structural, Electrical and Magnetic Properties of Ferrites, Engineered Ferrites and Their Applications (Singapore: Springer: 2023), Ch. 2, pp. 17–39; https://doi.org/10.1007/978-981-99-2583-4_2
  45. A.I. Borhan, D. Ghercă, A.R. Iordan, and M.N. Palamaru, Classification and Types of Ferrites, Ferrite Nanostructures: Magnetic Materials (Amsterdam: Elsevier: 2023), pp. 17–34; https://doi.org/10.1016/B978-0-12-823717-5.00026-7
  46. M. Nie, C. Jiang, Y. Yang, B. Zhou, Z. Chen, G. Jia, Z. Li, C. Dai, J. He, and H. Guo, Multicomponent Soft Magnetic Alloys for Soft Magnetic Composites: A Review, Mater. Today Electron., 12: 100153 (2025); https://doi.org/10.1016/j.mtelec.2025.100153
  47. Physical, Mechanical and Thermal Aspects of Ferrites, Modern Ferrite Technology, Ch. 17 (Boston: Springer: 2006), pp. 395–402; https://doi.org/10.1007/978-0-387-29413-1_17
  48. G. Zhang, H. Ni, Y. Li, T. Liu, A. Wang, and H. Zhang, Fe-Based Amorphous Alloys with Superior Soft-Magnetic Properties Prepared via Smelting Reduction of High-Phosphorus Oolitic Iron Ore, Intermetallics, 141: 107441 (2021); https://doi.org/10.1016/j.intermet.2021.107441
  49. Y. Yang, T.D. Oyedeji, X. Zhou, K. Albe, and B.X. Xu, Tailoring Magnetic Hysteresis of Additive-Manufactured Fe–Ni Permalloy via Multiphysics–Multiscale Simulations of Process-Property Relationships, npj Comput. Mater., 9: 103 (2023); https://doi.org/10.1038/s41524-023-01058-9
  50. A. Talaat, M.V. Suraj, K. Byerly, A. Wang, Y. Wang, J.K. Lee, and P.R. Ohodnicki, Review on Soft Magnetic Metal and Inorganic Oxide Nanocomposites for Power Applications, J. Alloys Compd., 870: 159500 (2021); https://doi.org/10.1016/j.jallcom.2021.159500
  51. B.S. Baitaliuk, A.V. Nosenko, V.K. Nosenko, and G.A. Bagliuk, New Powdered Nanocrystalline Soft Magnetic Composites with Portland Cement Binder, Metallofiz. Noveishie Tekhnol., 46, No. 11: 1051–1065 (2024); https://doi.org/10.15407/mfint.46.11.1051
  52. W.G. Hurley and W.H. Wölfle, Transformers and Inductors for Power Electronics: Theory, Design and Applications (Chichester: John Wiley & Sons: 2013); https://doi.org/10.1002/9781118544648
  53. A.T. Sankara Subramanian, P. Meenalochini, S. Suba Bala Sathiya, and G. Ram Prakash, A Review on Selection of Soft Magnetic Materials for Industrial Drives, Mater. Today: Proc., 45, No. 2: 1591–1596 (2021); https://doi.org/10.1016/j.matpr.2020.08.389
  54. Y. Guo, X. Ba, L. Liu, H. Lu, G. Lei, W. Yin, and J. Zhu, A Review of Electric Motors with Soft Magnetic Composite Cores for Electric Drives, Energies, 16, No. 4: 2053 (2023); https://doi.org/10.3390/en16042053
  55. K. Ferrone, C. Willis, F. Guan, J. Ma, L. Peterson, and S. Kry, A Review of Magnetic Shielding Technology for Space Radiation, Radiation, 3, No. 1: 46–57 (2023); https://doi.org/10.3390/radiation3010005
  56. W. Wang, J. Fan, C. Li, Y. Yu, A. Wang, S. Li, and J. Liu, Low-Loss Soft Magnetic Materials and Their Application in Power Conversion: Progress and Perspective, Energies, 18, No. 3: 482 (2025); https://doi.org/10.3390/en18030482
  57. Q. Huang, W. Xie, F.Z. Alqahtany, T. Cao, Gaber A.M. Mersal, and Z. Toktarbay, Study on Thin-Layer Broadband Metamaterial Absorber Based on Composite Multi-Opening Ring Pattern of Magnetic Dielectric Layers, Adv. Compos. Hybrid Mater., 8: 180 (2025); https://doi.org/10.1007/s42114-025-01250-z
  58. C.W.T. McLyman, Transformer and Inductor Design Handbook (Boca Raton: CRC Press: 2011); https://doi.org/10.1201/b10865
  59. M. Arif, D. Han, W. Shin, S. Cha, C. Pak, Y. Kim, S. Kim, B. Lee, and J. Rhyee, Ultra-Low Core Loss and High-Frequency Permeability Stability in Hot-Press Sintered FeSi Soft Magnetic Composites by Fe2O3 Nanoparticles Air Gap Filling, Materials, 18, No. 9: 2013 (2025); https://doi.org/10.3390/ma18092013
  60. M.K. Kazimierczuk, Laminated Cores, High-Frequency Magnetic Components (Hoboken: Wiley: 2014), Ch. 6, pp. 383–408; https://doi.org/10.1002/9781118717806.ch6
  61. Applications of Ferrites (Ed. M. Khan) (Rijeka: IntechOpen: 2024); https://doi.org/10.5772/intechopen.1000321
  62. D. Rodriguez-Sotelo, M.A. Rodriguez-Licea, I. Araujo-Vargas, J. Prado-Olivarez, A.-I. Barranco-Gutiérrez, and F.J. Perez-Pinal, Power Losses Models for Magnetic Cores: A Review, Micromachines, 13, No. 3: 418 (2022); https://doi.org/10.3390/mi13030418
  63. Z. Yan and A.-M. Sun, Simplified Ferrite Core Loss Separation Model for Switched Mode Power Converter, IET Power Electron., 9, No. 3: 529–535 (2016); https://doi.org/10.1049/iet-pel.2015.0146
  64. A. Bahmani, Core Loss Evaluation of High-Frequency Transformers in High-Power DC–DC Converters, Proc. Int. Conf. Ecological Vehicles and Renewable Energies (EVER), 2018; https://doi.org/10.1109/ever.2018.8362341
  65. Y. Shima, T. Yamazaki, A.L. Foggiatto, C. Mitsumata, and M. Kotsugi, Anomalous Eddy Current Loss in Soft Magnetic Materials via Maxwell Equations-coupled Multiscale Micromagnetic Simulations, J. Appl. Phys., 137, No. 12: 123906 (2025); https://doi.org/10.1063/5.0237895
  66. J.M.D. Coey, Applications of Soft Magnets, Magnetism and Magnetic Materials (Cambridge: Cambridge Univ. Press: 2010), pp. 439–463; https://doi.org/10.1017/CBO9780511845000.013
  67. P. Kollár, Z. Birčáková, and J. Füzer, Power Loss Separation in Fe-based Composite Materials, J. Magn. Magn. Mater., 327: 146–150 (2013); https://doi.org/10.1016/j.jmmm.2012.09.055
  68. Y. Yang, Y. Wang, S. Wu, C. Liu, and L. Chen, Core Loss Analysis of Soft Magnetic Composites Considering the Inter-Particle Eddy Current Loss, AIP Adv., 11, No. 1: 015140 (2021); https://doi.org/10.1063/9.0000083
  69. E. Pošković, F. Franchini, L. Ferraris, E. Fracchia, J. Bidulska, F. Carosio, R. Bidulsky, and M. Actis Grande, Recent Advances in Multi-Functional Coatings for Soft Magnetic Composites, Materials, 14, No. 22: 6844 (2021); https://doi.org/10.3390/ma14226844
  70. H. Shokrollahi and K. Janghorban, Soft Magnetic Composite Materials (SMCs), J. Mater. Process. Technol., 189, No. 1–3: 1–12 (2007); https://doi.org/10.1016/j.jmatprotec.2007.02.034
  71. A. Jakubas, R. Jastrzębski, and K. Chwastek, Modelling the Effect of Compaction Pressure on Hysteresis Curves of Self-Developed SMC Cores, COMPEL, 38, No. 4: 1154–1163 (2019); https://doi.org/10.1108/COMPEL-10-2018-0399
  72. G. Bai, J. Sun, Z. Zhang, X. Liu, S. Bandaru, W. Liu, Z. Li, H. Li, N. Wang, and X. Zhang, Vortex-Based Soft Magnetic Composite with Ultrastable Permeability up to Gigahertz Frequencies, Nat. Commun., 15: 2238 (2024); https://doi.org/10.1038/s41467-024-46650-9
  73. P. Błyskun, M. Kowalczyk, G. Łukaszewicz, G. Cieślak, J. Ferenc, P. Zackiewicz, and A. Kolano-Burian, Influence of Particles Size Fraction on Magnetic Properties of Soft Magnetic Composites Prepared from a Soft Magnetic Nanocrystalline Powder with no Synthetic Oxide Layer, Mater. Sci. Eng. B, 272: 115357 (2021); https://doi.org/10.1016/j.mseb.2021.115357
  74. R. Maciaszek, P. Kollár, Z. Birčáková, M. Tkáč, J. Füzer, D. Olekšáková, D. Volavka, T. Samuely, J. Kováč, R. Bureš, and M. Fáberová, Effects of Particle Surface Modification on Magnetic Behavior of Soft Magnetic Fe@SiO2 Composites and Fe Compacts, J. Mater. Sci., 59: 11781–11798 (2024); https://doi.org/10.1007/s10853-024-09881-1
  75. F. Mazaleyrat, Statistical Modeling of Soft Magnetic Composites’ Permeability, J. Magn. Magn. Mater., 141: 172646 (2024); https://doi.org/10.1016/j.jmmm.2024.172646
  76. J.M. Silveyra, E. Ferrara, D.L. Huber, and T.C. Monson, Soft Magnetic Materials for a Sustainable and Electrified World, Science, 362, No. 6413: eaao0195 (2018); https://doi.org/10.1126/science.aao0195
  77. O. Heaviside, Electrical Papers. Vol. 2 (London: Macmillan and Co.: 1894); https://archive.org/details/electricalpapers02heavrich/electricalpapers02heavrich
  78. B. Speed and G.W. Elmen, Magnetic Properties of Compressed Powdered Iron, Trans. Am. Inst. Electr. Eng., XL: 1321 (1921); https://doi.org/10.1109/T-AIEE.1921.5060746
  79. L.I. Rabkin, Vysokochastotnyye Ferromagnetiki [High-Frequency Ferromagnetics] (Moskva: Fizmatlit: 1960) (in Russian).
  80. A. Goldman, Metal Powder Cores for Telecommunications Applications, Handbook of Modern Ferromagnetic Materials, Ch. 9 (Boston: Springer: 1999), pp. 183–205; https://doi.org/10.1007/978-1-4615-4917-8_10
  81. I.G. Farbenindustrie AG, Finely-Divided Metals from Metal Carbonyls (U.S. Patent No. 1,759,661, issued May 20, 1930); https://patents.google.com/patent/US1759661A
  82. Field Information Agency, Technical (FIAT), Iron Cores, FIAT Final Report No. 792 (London: 1945), 14 p.; https://www.cdvandt.org/FIAT-792.pdf
  83. G.W. Elmen, Magnetic Material (U.S. Patent No. 1,586,884, assigned to Western Electric Co. Inc., filed May 31, 1921, issued June 1, 1926); https://patents.google.com/patent/US1586884A/en
  84. G.W. Elmen and G.D. Arnold, Permalloy, a New Magnetic Material of Very High Permeability, Bell Syst. Tech. J., 2, No. 3: 101–111 (1923); https://doi.org/10.1002/j.1538-7305.1923.tb03595.x
  85. Bell Telephone Laboratories, Compressed Permalloy-Powder Core Loading Coils: Internal Report (New York: Bell Telephone Laboratories: 1927); Bell Syst. Tech. J., 30, No. 2: 596–609 (1951); https://vtda.org/pubs/BSTJ/vol30-1951/articles/bstj30-2-447.pdf
  86. V.E. Legg and F.J. Given, Compressed Powdered Molybdenum Permalloy for High-Quality Inductance Coils, Bell Syst. Tech. J., 19: 385–406 (1940); https://doi.org/10.1002/j.1538-7305.1940.tb00837.x
  87. Magnetics®, Inc., AmoFlux® Cores Bulletin; https://www.mag-inc.com/getattachment/Products/Powder-Cores/AmoFlux-Cores/Learn-More-About-AmoFlux-Cores/Magnetics-AmoFlux-Bulletin.pdf
  88. Magnetics, Powder Core Catalog; https://www.mag-inc.com/Media/Magnetics/File-Library/Product%20Literature/Powder%20Core%20Literature/Magnetics-Powder-Core-Catalog.pdf
  89. E.A. Périgo, B. Weidenfeller, P. Kollár, and J. Füzer, Past, Present, and Future of Soft Magnetic Composites, Appl. Phys. Rev., 5, No. 3: 031301 (2018); https://doi.org/10.1063/1.5027045
  90. T.F. Marinca, F. Popa, A.Z. Mesaroș, B.V. Neamțu, V.C. Prică, H.F. Chicinaș, and I. Chicinaș, Soft Magnetic Composite Obtained by Interface Reaction upon Spark Plasma Sintering using Double-Coated Al-Permalloy (Ni71.25Fe23.75Al5) composite particles, Appl. Surf. Sci. Adv., 28: 100793 (2025); https://doi.org/10.1016/j.apsadv.2025.100793
  91. Z. Zhu, P. Wang, and J. Zhang, Preparation of FeSiBC Soft Magnetic Composites with Excellent Magnetic Properties and Environmental Reliability Based on Mechanofusion Method, J. Mater. Res. Technol., 36: 4112–4124 (2025); https://doi.org/10.1016/j.jmrt.2025.04.135
  92. C. Li, H. Yu, G. Han, and Z. Liu, FeSiCr-Based Soft Magnetic Composites with SiO2 Insulation Coating Prepared using the Elemental Silicon Powder Hydrolysis Method, Metals, 13, No. 8: 1444 (2023); https://doi.org/10.3390/met13081444
  93. L. Wan, X. Sun, J. Li, and S. Wu, Preparation and Magnetic Properties of Low-Loss Soft Magnetic Composites using MgO-Phenolic Resin Coating, Materials, 17, No. 16: 4039 (2024); https://doi.org/10.3390/ma17164039
  94. Magnetics, Inc., Inductor Cores: Material and Shape Choices; https://www.mag-inc.com/getattachment/Design/Design-Guides/Inductor-Cores-Material-and-Shape-Choices/Inductor-Cores-Material-and-Shape-Choices-08142013.pdf
  95. C. Jönsson, B. Skårman, Y. Zhou, and L. Kjellèn, A New Generation of Sustainable SMC Materials with Low Core Loss, Jpn. Soc. Powder Powder Metall., 72: S711–S714 (2025); https://doi.org/10.2497/jjspm.15E-T16-16
  96. K.J. Sunday and M.L. Taheri, Soft Magnetic Composites: Recent Advancements in the Technology, Met. Powder Rep., 72, No. 6: 409–417 (2017); https://doi.org/10.1016/j.mprp.2016.08.003
  97. M.A. Grande, L. Ferraris, F. Franchini, E. Pošković, A. Cavagnino, and A. Tenconi, New SMC Materials for Small Electrical Machine with Very Good Mechanical Properties, IEEE Trans. Ind. Appl., 54, No. 1: 195–203 (2018); https://doi.org/10.1109/TIA.2017.2756593
  98. E. Pošković, L. Ferraris, F. Franchini, A. Cavagnino, and M.A. Grande, SMC Materials in Electrical Machine Prototypes, Proc. IEEE Int. Electr. Mach. Drives Conf. (IEMDC), 2019: 2042–2047; https://doi.org/10.1109/IEMDC.2019.8785066
  99. Y. Zhou, S. Poulikidou, A.R. Persson, and L. Kjellén, A LCA Analysis of SMC Solution for Electrification, J. Jpn. Soc. Powder Powder Metall., 72, Suppl.: S715–S719 (2025); https://doi.org/10.2497/jjspm.15E-T16-17
  100. E. Pošković, L. Ferraris, F. Franchini, and M. Actis Grande, The Effect of Particle Size on the Core Losses of Soft Magnetic Composites, AIP Adv., 9, No. 3: 035224 (2019); https://doi.org/10.1063/1.5080079
  101. Y. Song, Z. Zhang, S. Zhou, R. Zhang, X. Li, and H. Yu, Impact of Compaction Pressure and Heat Treatment Temperature on the Performance of FeSiBCuNb/FeNi Soft Magnetic Composites, Magnetochemistry, 11, No. 4: 29 (2025); https://doi.org/10.3390/magnetochemistry11040029
  102. K.D. Choi, S.Y. Lee, H.Y. Kim, J.S. Hwang, J.Y. Huh, K.W. Yi, and J.Y. Byun, Effect of Annealing on Magnetic Properties of Iron-Based Soft Magnetic Composites with Iron Oxide Insulator, J. Magn. Magn. Mater., 562: 169755 (2022); https://doi.org/10.1016/j.jmmm.2022.169755
  103. Z. Zhu, J. Liu, H. Zhao, J. Pang, P. Wang, and J. Zhang, Study of the soft magnetic properties of FeSiAl magnetic powder cores by compounding with different content of epoxy resin, Materials, 16, No. 3: 1270 (2023); https://doi.org/10.3390/ma16031270
  104. J.Q. Liu, Z.Q. Zhu, P. Wang, Y. Li, J.Pang, and J. Zhang, Effects of Two Silicone Resin Coatings on Performance of FeSiAl Magnetic Powder Cores, J. Iron Steel Res. Int., 31: 1279–1288 (2024); https://doi.org/10.1007/s42243-023-01105-1
  105. S. Wu, Z. Dong, J. Li, J. Li, J. Fan, Y. Liang, and J. Liu, Preparation and Magnetic Properties of AlN/Phenolic Resin-Coated Iron-Based Soft Magnetic Composites, J. Electron. Mater., 52: 8086–8094 (2023); https://doi.org/10.1007/s11664-023-10728-9
  106. G.L. Zhao, C. Wu, and M. Yan, Evolution of the Insulation Matrix and Influences on the Magnetic Performance of Fe Soft Magnetic Composites During Annealing, J. Alloys Compd., 685: 231–236 (2016); https://doi.org/10.1016/j.jallcom.2016.05.277
  107. X. Chen, Y. Zhang, F. Zhao, M. Tang, M. Xiang, J. Huo, M. Gao, Y. Wang, N. Yodoshi, L. Zhang, and J. Wang, Fabrication and Excellent Performance of Amorphous FeSiBCCr/Organic-Inorganic Hybrid Powder Core, J. Non-Cryst. Solids, 616: 122482 (2023); https://doi.org/10.1016/j.jnoncrysol.2023.122482
  108. A.H. Taghvaei, H. Shokrollahi, and K. Janghorban, Structural Studies, Magnetic Properties and Loss Separation in Iron–Phenolic Silane Soft Magnetic Composites, Mater. Des., 31, No. 1: 142–148 (2010); https://doi.org/10.1016/j.matdes.2009.06.044
  109. J. Li, X. Peng, Y. Yang, H. Ge, D. Wang, and Y. Du, FeSiAl Soft Magnetic Composites with NiZn Ferrite Coating Produced via Solvothermal Method, AIP Adv., 7, No. 5: 056109 (2017); https://doi.org/10.1063/1.4978402
  110. G. Tontini, M. Biscontini, G. Donzelli, M. Pasquale, and M. Lodi, Insulating Coating Influence on Magnetic Losses in Fe-Based Soft Magnetic Composites, J. Magn. Magn. Mater., 487: 165351 (2019); https://doi.org/10.1016/j.jmmm.2019.165351
  111. F. Hu, J.L. Ni, S. Feng, X.C. Kan, R. Zhu, W. Yang, Y. Yang, Q. Lv, and X. Liu, Low Melting Glass as Adhesive and Insulating Agent for Soft Magnetic Composites: Case in FeSi Powder Core, J. Magn. Magn. Mater., 501: 166480 (2020); https://doi.org/10.1016/j.jmmm.2020.166480
  112. A. Goldman, DC and Low Frequency Applications, Handbook of Modern Ferromagnetic Materials (Boston: Springer: 1999), Ch. 6, pp. 107–135; https://doi.org/10.1007/978-1-4615-4917-8_6
  113. M. Song, F. Luo, Y. Shang, and Z. Duan, Influence of Polytetrafluoroethylene Content, Compaction Pressure, and Annealing Treatment on the Magnetic Properties of Iron-Based Soft Magnetic Composites, Molecules, 29, No. 17: 4019 (2024); https://doi.org/10.3390/molecules29174019
  114. Höganäs AB, SOMALOY® 5P Material Data Sheet; https://www.hoganas.com/globalassets/downloads/libary/somaloy_somaloy-5p-material-data_2274hog.pdf
  115. B. Meng, J. Hou, F. Ning, B. Yang, B. Zhou, and R. Yu, Low-Loss and High-Induction Fe-Based Soft Magnetic Composites Coated with Magnetic Insulating Layers, J. Magn. Magn. Mater., 492: 165651 (2019); https://doi.org/10.1016/j.jmmm.2019.165651
  116. G. Zapf, The Pressing and Sintering Properties of Iron Powders, Iron Powder Metallurgy, Perspectives in Powder Metallurgy (Boston: Springer: 1968), Ch. 6, pp. 122–153; https://doi.org/10.1007/978-1-4899-6467-0_6
  117. A. Simchi and A.A. Nojoomi, Warm Compaction of Metallic Powders, Advances in Powder Metallurgy: Properties, Processing and Applications (Eds. I. Chang and Y. Zhao) (Cambridge: Woodhead Publishing: 2013), pp. 86–108; https://doi.org/10.1533/9780857098900.1.86
  118. S.G. Qu, Y.Y. Li, W. Xia, and W.P. Chen, Densification Mechanism of Warm Compaction for Iron-Based Powder Materials, Mater. Sci. Forum, 534–536: 261–264 (2007); https://doi.org/10.4028/www.scientific.net/MSF.534-536.261
  119. S. Nosewicz, J. Rojek, M. Chmielewski, and K. Pietrzak, Discrete Element Modeling and Experimental Investigation of Hot Pressing of Intermetallic NiAl Powder, Adv. Powder Technol., 28, No. 7: 1745–1759 (2017); https://doi.org/10.1016/j.apt.2017.04.012
  120. R. Ma, L. Chang, S. Ye, H. Xie, J. H. Wang, Z. L. Guo, Q. T. Zeng, G. H. Hang, Z. L. Xue, D. C. Chen, Z. K. Liang, and H. B. Sun, Magnetic Properties of Soft Magnetic Composites Fabricated from Amorphous Fe73Si11B11C3Cr2 Powder by Hot Pressing under a Low Pressure, Powder Technol., 426: 118639 (2023); https://doi.org/10.1016/j.powtec.2023.118639
  121. A. Romero, A.L. Morales, and G. Herranz, Enhancing Properties of Soft Magnetic Materials: A Study into Hot Isostatic Pressing and Sintering Atmosphere Influences, Metals, 11, No. 4: 643 (2021); https://doi.org/10.3390/met11040643
  122. Micrometals, SH Core Materials; https://www.micrometals.com/products/materials/sh
  123. Micrometals, 2023 Product Catalog; https://s3.amazonaws.com/micrometals-production/filer_public/f4/da/f4da63c8-44fc-4d87-a290-bf3f5c8ae2de/micrometals_2023_catalog-final_122123.pdf
  124. Micrometals, 2021 Alloy Material Guide; https://s3.amazonaws.com/micrometals-production/filer_public/2f/ed/2fedd6eb-44d0-4834-a442-8222486f0b77/micrometals_alloy-en-2021.pdf
  125. E. Tatsumoto and T. Okamoto, Temperature Dependence of the Magnetostriction Constants in Iron and Silicon Iron, J. Phys. Soc. Jpn., 14, No. 11: 1588–1594 (1959); https://doi.org/10.1143/jpsj.14.1588
  126. K. B. Hathaway and A. E. Clark, Magnetostrictive Materials, MRS Bull., 18, No. 4: 34–41 (1993); https://doi.org/10.1557/s0883769400037337
  127. Q. Xing, T.A. Lograsso, M.P. Ruffoni, C. Azimonte, S. Pascarelli, and D.J. Miller, Experimental Exploration of the Origin of Magnetostriction in Single Crystalline Iron, Appl. Phys. Lett., 97, 072508 (2010); https://doi.org/10.1063/1.3481083
  128. H. Tsukahara, H. Imamura, C. Mitsumata, K. Suzuki, and K. Ono, Role of Magnetostriction on Power Losses in Nanocrystalline Soft Magnets, NPG Asia Mater., 14: 44 (2022); https://doi.org/10.1038/s41427-022-00388-2
  129. H. Masumoto and T. Yamamoto, On a New Alloy ‘Sendust’ and its Magnetic and Electric Properties, J. Jpn. Inst. Met., 1, No. 3: 127–135 (1937); https://doi.org/10.2320/jinstmet1937.1.3_127
  130. A. Goldman, Magnetic Materials for Power Electronics, Magnetic Components for Power Electronics (Boston, MA: Springer: 2002); Ch. 3, pp. 55–103; https://doi.org/10.1007/978-1-4615-0871-7_3
  131. A. Inoue and F. Kong, Soft Magnetic Materials, Reference Module in Materials Science and Materials Engineering (Amsterdam: Elsevier: 2020); https://doi.org/10.1016/b978-0-12-803581-8.11725-4
  132. S. Zhu, W. Wu, S. Zhou, Z. Zhang, S. Feng, X.S. Liu, and X. Kan, Enhancing the High-Frequency Performance of FeSiAl/WS₂ Composites with Small Particle Sizes, J. Mater. Res. Technol., 37: 977–982 (2025); https://doi.org/10.1016/j.jmrt.2025.06.075
  133. X. Xie, C. Chen, Y. Ma, Y. Xie, H. Wu, G. Ji, E. Aubry, Z. Ren, and H. Liao, Influence of Annealing Treatment on Microstructure and Magnetic Properties of Cold Sprayed Ni-Coated FeSiAl Soft Magnetic Composite Coating, Surf. Coat. Technol., 374: 476–484 (2019); https://doi.org/10.1016/j.surfcoat.2019.05.008
  134. M. Mozaffari and M. Amoohadi, Sendust Alloy: A Review on the Synthesis, Structure, Magnetic Properties, and Applications, Phys. Met. Metallogr., 125, Suppl. 1: S62–S71 (2024); https://doi.org/10.1134/S0031918X24602531
  135. N. Chujo, F. Kino, K. Kume, T. Aoyama, and M. Fukuda, Effect of Packing Fraction on Magnetic Properties of the Fe–Si–Al Powder Cores by Boarse Powder and Fine Powder Mixing, J. Jpn. Soc. Powder Powder Metall., 63, No. 7: 624–629 (2016); https://doi.org/10.2497/jjspm.63.624
  136. B. Zhang, Z. Zou, X. Zhang, Y. Han, W. Liu, and H. Su, Improved Anti-Saturation Performance of Fe–Si–Al Soft Magnetic Powder Core via Adjusting the Alloy Composition, Metals, 14, No. 1: 107 (2024); https://doi.org/10.3390/met14010107
  137. W.C. Jones, Telephone Receiver (U.S. Patent No. 1,642,776, assigned to Western Electric Co. Inc., filed May 19, 1924, issued September 20, 1927); https://patents.google.com/patent/US1642776A/en
  138. Arnold Magnetic Technologies, Soft Magnetics Application Guide; https://www.arnoldmagnetics.com/wp-content/uploads/2017/10/FINAL_Tech-Library_Guides_Soft-Magnetics-Application-Guide.pdf
  139. M.P. Nguyen, S. Yoshida, S. Okamoto, T. Miyazaki, and Y. Endo, Effect of Compaction Pressure on Core Loss in Fe–Ni Powder Cores for High-Frequency Applications, IEEE Trans. Magn., 60, No. 9: 2800104 (2024); https://doi.org/10.1109/TMAG.2024.3402273
  140. O.L. Boothby and R.M. Bozorth, A New Magnetic Material of High Permeability, J. Appl. Phys., 18: 173–176 (1947); https://doi.org/10.1063/1.1697599
  141. B.S. Baitalyuk, V.A. Maslyuk, and V.K. Nosenko, Production and Properties of Soft-Magnetic Dielectric Materials Based on Nanocrystalline Fe73Si15B7.2Cu1Nb3 Alloy Powder, Powder Metall. Met. Ceram., 51: 289–294 (2012); https://doi.org/10.1007/s11106-012-9430-5
  142. J. Füzer, P. Kollár, D. Olekšáková, and S. Roth, AC Magnetic Properties of the Bulk Fe–Ni and Fe–Ni–Mo Soft Magnetic Alloys Prepared by Warm Compaction, J. Alloys Compd., 483, Nos. 1–2: 557–559 (2009); https://doi.org/10.1016/j.jallcom.2008.08.137
  143. PC Components, Arnold Powder Core Specifications; https://pccomponents.com/datasheets/ARN-POWCORE.pdf
  144. World Bank, Commodity Markets Outlook: April 2025; https://thedocs.worldbank.org/en/doc/18675f1d1639c7a34d463f59263ba0a2-0050012025/related/CMO-Pink-Sheet-April-2025.pdf
  145. A. Brenner, D.E. Couch, and E.K. Williams, Electrodepositionof Phosphorous with Nickel or Cobalt, J. Res. Natl. Bur. Stand., 44: 109–122 (1950); https://doi.org/10.6028/jres.044.009
  146. V.A. Dekhtyarenko, V.K. Nosenko, V.V. Kyrylchuk, A.V. Nosenko, O.M. Semyrga, I.K. Yevlash, and V.I. Bondarchuk, Amorphous Alloys as a Promising Class of Functional Materials. Pt. 1: Manufacturing Methods, Structure, Physical and Mechanical Properties, Prog. Phys. Met., 26, No. 3: 598–625 (2025); https://doi.org/10.15407/ufm.26.03.598
  147. W. Klement, R.H. Willens, and P. Duwez, Non-Crystalline Structure in Solidified Gold–Silicon Alloys, Nature, 187: 869–870 (1960); https://doi.org/10.1038/187869b0
  148. Amorfnyye Metallicheskie Splavy [Amorphous Metallic Alloys] (Ed. F.E. Lyuborskiy) (Moskva: Metallurgiya: 1987) (in Russian).
  149. J. Kramer, Der Amorphe Zustand der Metalle, Z. Phys., 106: 675–691 (1937); https://doi.org/10.1007/BF01363210
  150. I.S. Miroshnichenko and I.V. Salli, A Device for the Crystallization of Alloys at a High Cooling Rate, Ind. Lab., 25, No. 11: 1463–1464 (1959) (in Russian).
  151. R. Pond and R. Maddin, A Method of Producing Rapidly Solidified Filamentary Castings, Trans. Metall. Soc. AIME, 245: 2475–2476 (1969).
  152. M.E. McHenry, M.A. Willard, and D.E. Laughlin, Amorphous and Nanocrystalline Materials for Applications as Soft magnets, Prog. Mater. Sci., 44, No. 4: 291–433 (1999); https://doi.org/10.1016/S0079-6425(99)00002-X
  153. G. Herzer, Modern Soft Magnets: Amorphous and Nanocrystalline Materials, Acta Mater., 61, No. 3: 718–734 (2013); https://doi.org/10.1016/j.actamat.2012.10.040
  154. J. Zhou, J. You, and K. Qiu, Advances in Fe-based Amorphous/Nanocrystalline Alloys, J. Appl. Phys., 132: 040702 (2022); https://doi.org/10.1063/5.0092662
  155. Z. Li, W. Han, Z. Xin, Q. Liu, and J. Chen, A Review of Magnetic Core Materials, Core Loss Modeling and Measurements in High-Power High-Frequency Transformers, CPSS Trans. Power Electron. Appl., 7, No. 4: 359–373 (2022); https://doi.org/10.24295/CPSSTPEA.2022.00033
  156. K. Suzuki, Recent Advances in Nanocrystalline Soft Magnetic Materials: A Critical Review for Way Forward, J. Magn. Magn. Mater., 592: 171677 (2024); https://doi.org/10.1016/j.jmmm.2023.171677
  157. М.P. Semen’ko, М.І. Zakharenko, Yu.А. Kunitsky, V.А. Makara, and А.P. Shpak, Electrical Resistance and Magnetoresistance of Amorphous Metallic Alloys Based on Iron and Cobalt, Usp. Fiz. Met., 10, No. 2: 131–205 (2009) (in Ukrainian); https://doi.org/10.15407/ufm.10.02.131
  158. B.S. Baitaliuk, V.K. Nosenko, and I.K. Yevlash, The Effect of Heat Treatment on the Physical and Mechanical Properties, and Grindability of the Amorphous Fe73Si16B7Cu1Nb3 Alloy Ribbon, Metallofiz. Noveishie Tekhnol., 47, No. 3: 287–301 (2025); https://doi.org/10.15407/mfint.47.03.0287
  159. C. Liu, F. Yang, Y. Han, Y. Liu, J. Gao, W. Song, L. Wang, R. Zhang, H. Sun, and C. Wang, Advances in High Magnetic Induction and Low Loss Fe-Based Nanocrystalline Alloys, Electr. Mater. Appl., 2, No. 1: e70012 (2025); https://doi.org/10.1049/ema3.70012
  160. F. Li, T. Liu, J. Zhang, S. Shuang, Q. Wang, A. D. Wang, J. G. Wang, and Y. Yang, Amorphous–Nanocrystalline Alloys: Fabrication, Properties, and Applications, Mater. Today Adv., 4: 100027 (2019); https://doi.org/10.1016/j.mtadv.2019.100027
  161. K.L. Alvarez, H.A. Baghbaderani, J.M. Martín, N. Burgos, M. Ipatov, Z. Pavlovic, P. McCloskey, A. Masood, and J. Gonzalez, Novel Fe-Based Amorphous and Nanocrystalline Powder Cores for High-Frequency Power Conversion, J. Magn. Magn. Mater., 501: 166457 (2020); https://doi.org/10.1016/j.jmmm.2020.166457
  162. Y. Guo, L. Liu, W. Yin, H. Lu, G. Lei, and J. Zhu, Developing High-Power-Density Electromagnetic Devices with Nanocrystalline and Amorphous Magnetic Materials, Nanomaterials, 13, No. 13: 1963 (2023); https://doi.org/10.3390/nano13131963
  163. D. Ding, J. You, X. Cui, Y. Xue, X. Tan, and G. Zhai, Application of Amorphous and Nanocrystalline Soft Magnetic Materials in Balanced-Force-Type Electromagnetic Relay, Micromachines, 15, No. 3: 368 (2024); https://doi.org/10.3390/mi15030368
  164. P. Chen, J. Han, X. Yao, X. Wang, Y. Yan, Z. Zhao, L. Zhang, Z. Yu, and H. Li, Modeling and Testing of 3D Wound Core Loss of Amorphous Alloy Transformer for Photovoltaic Inverter, Energies, 18, No. 11: 2698 (2025); https://doi.org/10.3390/en18112698
  165. C.Q. Jiang, X.R. Li, S.S. Ghosh, H. Zhao, Y. Shen, and T. Long, Nanocrystalline Powder Cores for High-Power High-Frequency Power Electronics Applications, IEEE Trans. Power Electron., 35, No. 10: 10821–10830 (2020); https://doi.org/10.1109/TPEL.2020.2979069
  166. A. Yakın, T. Simsek, B. Avar, T. Simsek, and A.K. Chattopadhyay, A Review of Soft Magnetic Properties of Mechanically Alloyed Amorphous and Nanocrystalline Powders, Emerg. Mater., 6, No. 2: 453–481 (2023); https://doi.org/10.1007/s42247-023-00485-0
  167. M.S. Rylko, J.G. Hayes, and M.G. Egan, Experimental Investigation of High-Flux Density Magnetic Materials for High-Current Inductors in Hybrid-Electric Vehicle DC–DC Converters, Proc. IEEE Vehicle Power and Propulsion Conf. (Lille, France, 2010), pp. 1–7; https://doi.org/10.1109/VPPC.2010.5729214
  168. X. Yang, S. Qiu, Y. Wang, P. Zhao, Y. Gao, H. Wang, and C. Zhang, Research on Deterioration Mechanism and High Precision Modelling of the Core Loss for Amorphous Alloys after Wire Cut Electric Discharge Machining, Materials, 16, No. 6: 2275 (2023); https://doi.org/10.3390/ma16062275
  169. S.B. Roy, A.K. Nigam, G. Chandra, and A.K. Majumdar, Electrical Resistivity and Magnetoresistance in Fe–B–C Amorphous Alloys, J. Phys. F: Met. Phys., 18, No. 12: 2625–2633 (1988); https://doi.org/10.1088/0305 4608/18/12/013
  170. Y.B. Kim, D.H. Jang, H.K. Seok, and K.Y. Kim, Fabrication of Fe–Si–B Based Amorphous Powder Cores by Cold Pressing and Their Magnetic Properties, Mater. Sci. Eng. A, 449: 389–393 (2007); https://doi.org/10.1016/j.msea.2006.02.394
  171. Y. Yoshizawa, S. Oguma, and K. Yamauchi, New Fe-Based Soft Magnetic Alloys Composed of Ultrafine Grain Structure, J. Appl. Phys., 64: 6044–6046 (1988); https://doi.org/10.1063/1.342149
  172. G. Herzer, Grain Size Dependence of Coercivity and Permeability in Nanocrystalline Ferromagnets, IEEE Trans. Magn., 26, No. 5: 1397–1402 (1990); https://doi.org/10.1109/20.104389
  173. V.K. Nosenko, Amorfni ta Nanokrystalichni Splavy Dlia Pryladobuduvannia i Ehnerhoefektyvnykh Tekhnolohii, Visn. Nats. Akad. Nauk Ukr. No. 4: 68–79 (2015) (in Ukrainian).
  174. B.G. Livshyts, V.S. Kraposhyn, and Ya.L. Linetskyi, Fizicheskie Svoistva Metallov i Splavov [Physical Properties of Metals and Alloys] (Moskva: Metallurgiya: 1980) (in Russian).
  175. X. Qi, J. You, J. Zhou, K. Qiu, X. Cui, J. Tian, and B. Li, A Review of Fe-Based Amorphous and Nanocrystalline Alloys: Preparations, Applications, and Effects of Alloying Elements, Phys. Status Solidi A, 220, No. 14: 2300079 (2023); https://doi.org/10.1002/pssa.202300079
  176. H. Sun, C. Wang, J. Wang, M. Yu, and Z. Guo, Fe‐Based Amorphous Powder Cores with Low Core Loss and High Permeability Fabricated Using the Core-Shell Structured Magnetic Flaky Powders, J. Magn. Magn. Mater., 502: 166548 (2020); https://doi.org/10.1016/j.jmmm.2020.166548
  177. H. Huang, R. Zhang, H. Sun, and J. Wang, Improved Magnetic Properties and Compacted Density for Fe-Based Amorphous Soft Magnetic Composites via Hot Compacting under an Ultra-Low Pressure, SSRN Electron. J., 4760556 (2024); https://doi.org/10.2139/ssrn.4760556
  178. H. Li, A. Wang, T. Liu, P. Chen, A. He, Q. Li, J. Luan, and C.-T. Liu, Design of Fe-Based Nanocrystalline Alloys with Superior Magnetization and Manufacturability, Mater. Today, 42: 49–56 (2021); https://doi.org/10.1016/j.mattod.2020.09.030
  179. M. Liu, K. Huang, L. Liu, T. Li, P. Cai, Y. Dong, and X.-M. Wang, Fabrication and Magnetic Properties of Novel Fe-Based Amorphous Powder and Corresponding Powder Cores, J. Mater. Sci. Mater. Electron., 29, No. 12: 6092–6097 (2018); https://doi.org/10.1007/s10854-018-8584-4
  180. Z. Guo, J. Wang, W. Chen, D. Chen, H. Sun, Z. Xue, and C. Wang, Crystal-Like Microstructural Finemet/FeSi Compound Powder Core with Excellent Soft Magnetic Properties and its Loss Separation Analysis, Mater. Des., 192: 108769 (2020); https://doi.org/10.1016/j.matdes.2020.108769
  181. Y. Peng, Y. Yi, L. Li, H. Ai, X. Wang, and L. Chen, Fe-Based Soft Magnetic Composites Coated with NiZn Ferrite Prepared by a Co-Precipitation Method, J. Magn. Magn. Mater., 428: 148–153 (2016); https://doi.org/10.1016/j.jmmm.2016.12.024
  182. Y. Peng, Y. Yi, L. Li, J. Yi, J. Nie, and C. Bao, Iron-Based Soft Magnetic Composites with Al2O3 Insulation Coating Produced Using Sol–Gel Method, Mater. Des., 109: 390–395 (2016); https://doi.org/10.1016/j.matdes.2016.07.097
  183. B. Zhou, Y. Dong, L. Liu, L. Chang, F. Bi, and X. Wang, Enhanced Soft Magnetic Properties of Fe-Based Amorphous Powder Cores with Novel TiO2 Insulation Coating Layer, J. Magn. Magn. Mater., 474: 1–8 (2019); https://doi.org/10.1016/j.jmmm.2018.11.014
  184. S.V. Chong, W.J. Trompetter, J. Leveneur, F. Robinson, B. Leuw, B. Rumsey, and N.J. Long, A Facile Route to Insulate an Fe-Based Nanocrystalline Alloy Powder for Magnetic Composite Cores, Mater. Sci. Eng. B, 264: 114928 (2021); https://doi.org/10.1016/j.mseb.2020.11492
  185. R. Zhao, Y. Dong, S. Wu, X. Li, Z. Liu, X. Jia, X. Liu, H. Wu, W. Gao, and A. He, Enhancing Soft Magnetic Properties of FeSiBNbCu Nanocrystalline Powder Cores by Coating ZrO2 Insulation Layer, Adv. Powder Technol., 34, No. 3: 103952 (2023); https://doi.org/10.1016/j.apt.2023.103952
  186. C. Huang, T. Liu, X. Wang, C. Lu, D. Li, and Z. Lu, Magnetic Properties of Fe82Si2B14C2 Amorphous Powder Cores with Low Core Loss and High Magnetic Flux Density, Powder Metall., 57, No. 1: 41–44 (2014); https://doi.org/10.1179/1743290113Y.0000000066
  187. J. Guo, Y. Dong, Q. Man, Q. Li, C. Chang, X.-M. Wang, and R.-W. Li, Fabrication of FeSiBPNb Amorphous Powder Cores with High DC-Bias and Excellent Soft Magnetic Properties, J. Magn. Magn. Mater., 401: 432–435 (2016); https://doi.org/10.1016/j.jmmm.2015.10.069
  188. M. Tian, J. Xu, S. Yang, J. Wang, T. Yang, G. Li, Q. Chen, and X. Liu, Effects of Heat Treatment and Compaction Pressure on the Microstructure and Magnetic Properties of Core-Shell Structured FeSiBNbCu/SiO2 Soft Magnetic Composites, J. Alloys Compd., 923: 166394 (2022); https://doi.org/10.1016/j.jallcom.2022.166394
  189. H.Z. Li, Y.Q. Yan, W.S. Cai, L.Y. Li, A. Yan, L.H. Liu, J. Ma, H.B. Ke, Q. Li, B.A. Sun, W.H. Wang, and C. Yang, Local Adaptive Insulation in Amorphous Powder Cores with Low Core Loss and High DC Bias via Ultrasonic Rheomolding, Nat. Commun., 15: 9510 (2024); https://doi.org/10.1038/s41467-024-53592-9
  190. S. Yang, J. Xu, M. Tian, J. Wang, T. Yang, G. Li, Y. He, and X. Liu, Microstructure Evolution and Soft Magnetic Properties of Fe Based Nanocrystalline Soft Magnetic Composites Coated with Lubricant, Adv. Powder Technol., 34, No. 5: 104024 (2023); https://doi.org/10.1016/j.apt.2023.104024
  191. R. Bai, L. Shao, H. Ding, X. Li, J. Zhou, Z. Xue, H. Ke, and W. Wang, Optimizing the High Frequency Magnetic Properties of Soft Magnetic Composites via Surface Nanoengineering, J. Mater. Sci. Technol., 211: 82–88 (2025); https://doi.org/10.1016/j.jmst.2024.04.081

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