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Joint Electromagnetic and Loss Design of a Three-Phase GaN Synchronous Buck Converter

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Printed title: Joint Electromagnetic and Loss Design of a Three-Phase GaN Synchronous Buck Converter

Original byline: Mr.K · Archive author: Han Jae Jun

Manuscript year: 2026. Not a claim of peer-reviewed publication.

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This paper develops a quantitative electromagnetic-interference and switching-loss analysis for a proposed 48-V to 12-V, 15-A, three-phase interleaved synchronous buck converter using integrated gallium-nitride half bridges. Four mathematical structures are applied to the same converter port: Gaussian edge spectra parameterize frequency-dependent switching excitation; a T 3 phase configuration exactly removes nontriple switching harmonics for matched phase paths; a solid-torus common-mode choke enters the coupled source/return impedance; and a Möbius-type odd-mode measurement provides differential mismatch information. We derive sharp spectral relations, positive circuit-energy identities, phase-current ripple formulas, distribution-free Joule-loss bounds, charge-conserving dead-time optimization constraints, and finite-record spectral interpolation bounds. Independent reproducible numerical computations quantify the corresponding restricted- model behavior. In particular, under the specified ideal triangular-phase reference, a 22-µH winding with the manufacturer 25-◦C typical resistance dissipates 0.877765 W across three legs at the design output current, before any semiconductor, magnetic-core, AC, control or filter losses. The physically admissible winding-temperature window is explicitly tested against earlier reduced-model loss criteria instead of assuming unchanged room-temperature resistance. The manuscript integrates all established proofs, component-level connection maps and cal- culation sources, with links to genuine manufacturer photographs of reference hardware. A photorealistic, expressly nonexperimental design rendering documents the proposed component arrangement. The referenced TI three-leg hardware is a motor inverter, not the proposed syn- chronous … [source excerpt; see full PDF]

Original source PDF: 131 pages · 16807213 bytes
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Original ZIPGAN_R19_ENGLISH_FIGURE_263_REFERENCES_SOURCE_20261013.zip
Main PDFpdf/main/gan-r19-english-figure-263-references-source-20261013.pdf
PDF pages131
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@unpublished{Han2026ganr19englishfigure263referencessource20261013,
  author = {Han Jae Jun},
  title = {Joint Electromagnetic and Loss Design of a Three-Phase GaN Synchronous Buck Converter},
  year = {2026},
  note = {Research source ZIP: GAN_R19_ENGLISH_FIGURE_263_REFERENCES_SOURCE_20261013.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/gan-r19-english-figure-263-references-source-20261013.html}
}

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Original version: GAN_R19_ENGLISH_FIGURE_263_REFERENCES_SOURCE_20261013.zip

Main PDF SHA-256: 6d691428c6031b7660684a44f0744995a1194756786878e9c86dacc7c4de69cd

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