Three-Dimensional Wind Profile Prediction with Trinion-Valued Adaptive Algorithms

TL;DR

This paper introduces a novel trinion-valued adaptive algorithm for 3-D wind profile prediction, leveraging a trinion wind model to better capture component coupling with lower computational complexity.

Contribution

It develops augmented trinion statistics and a trinion domain processing method, offering a more efficient alternative to quaternion-based approaches for wind prediction.

Findings

Enhanced prediction accuracy demonstrated through simulations.

Reduced computational complexity compared to quaternion methods.

Effective modeling of 3-D wind component coupling.

Abstract

The problem of three-dimensional (3-D) wind profile prediction is addressed based a trinion wind model, which inherently reckons the coupling of the three perpendicular components of a wind field. The augmented trinion statistics are developed and employed to enhance the prediction performance due to its full exploitation of the second-order statistics. The proposed trinion domain processing can be regarded as a more compact version of the existing quaternion-valued approach, with a lower computational complexity. Simulations based on recorded wind data are provided to demonstrate the effectiveness of the proposed methods.