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Dynamic Impedance Phasor Helix

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Zenodo2026-03-29 更新2026-05-26 收录
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This paper demonstrates that the Bode and Nyquist diagrams — traditionally treated as separate analytical tools in control theory — are 2D projections of a single 3D geometric object: a helical curve traced by the complex-valued frequency response G(jω) parameterized over frequency. The framework, termed the Dynamic Impedance Phasor Helix, unifies magnitude, phase, and frequency into one continuous structure, revealing geometric relationships that are lost in conventional 2D representations. Interactive visualizations for LFC and RLC system variants are included.

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Zenodo
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2026-03-29
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