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Bibliographic Details
Main Author: Goldau, Pieter
Format: Recurso digital
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Published: Zenodo 2025
Online Access:https://doi.org/10.5281/zenodo.17009131
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Table of Contents:
  • <p><strong>Golden Spiral Wind Turbine Design Based on FRA-RRA Harmonic Principles</strong></p> <p>This paper presents a theoretical framework for wind turbine optimization derived from Fractal Resonance Architecture (FRA) and Relational Resonance Architecture (RRA) principles. The approach applies golden ratio (φ) based harmonic relations across multiple scales of turbine design, from individual blade geometry through control systems to wind farm layouts.</p> <p><strong>Key Contributions:</strong></p> <ul> <li>Introduction of fixed golden-phase Individual Pitch Control (IPC) offsets (0°, 137.5°, 275°) for spectral decoupling and tonal noise reduction</li> <li>Golden marker radius (r* = 0.618 R_tip) as characteristic blade station instead of unrealistic hub constraints</li> <li>Vogel spiral wind farm layout with golden angle (137.5°) turbine placement for directionally robust wake distribution</li> <li>Discrete Scale Invariance (DSI) signatures with period ln(φ) as diagnostic validation metrics</li> <li>Relation-guided parameter framework where design choices emerge from symmetry axioms rather than empirical tuning</li> </ul> <p>The work extends existing technologies (Gorlov helical VAWT, unequal blade spacing, IPC) through systematic application of golden-ratio harmonics. While individual components have prior art, the multi-scale integration with measurable DSI validation appears novel.</p> <p><strong>Important Note:</strong> All performance projections (3-5% AEP increase, 15-20% fatigue reduction, 5-8 dB noise reduction) are theoretical targets requiring validation through CFD, BEM analysis, wind tunnel testing, and field measurements. The framework provides a systematic approach for exploring harmonic design principles in wind energy applications.</p> <p><strong>License:</strong> CC BY 4.0 (text/figures), CERN-OHL-P v2 (hardware designs when available), Apache-2.0/MIT (software implementations recommended). Commercial use permitted with fair play request for community benefit.</p> <p><strong>Keywords:</strong> wind turbine, golden ratio, Individual Pitch Control, phyllotactic patterns, Vogel spiral, harmonic design, discrete scale invariance, sustainable energy</p>