智慧型動態日光模擬照明系統

本篇論文是利用太陽光頻譜配對的的觀點(Spectrum Matching Strategy)來最佳化動態混色的 LED 智慧照明系統,將以往需要非線性最佳化的參數如演色性、色溫等,利用頻譜配對觀點轉換為線性最小平方估計的問題。本論文中討論了四種演算法,梯度遞減法(Gradient Method)、遞迴式奇異值分解法 (Recursive Singular Value Decomposition, RSVD)、非負最小平方估計法 (Non-negative Least Squares, NNLS) 以及自適應直接搜尋法 (Mesh Adaptive Direct Search, MADS),來求最小平方估計的解。其中梯度遞減法是最直觀地解決最小平方估計的方法,然而很容易被限制在局部最小值,而遞迴式奇異值分解法具有節省空間及時間的效果,然而無法有效解決非負解的問題。約束最佳化模式搜尋法結果最為精準,可以達到平均演色性 97 以上,色溫及照度幾乎零誤差的發光表現,然而約束最佳化模式搜尋法需要大量的時間空間,並且很難實現於一般嵌入式系統。比較之間的準確度與好壞度並且衡量各個演算法的需求時間和空間,再加上色溫修正和有效的系統設計,最後選擇利用非負最小平方估計法為最適合使用於動態混色 LED 照明系統,並且以 Kim、Sra 和 Dhillon 所提出的新型投影式類牛頓法實現,可以在節省時間和空間的條件下得到相對最佳解。本篇論文提出的所有方法及結果都模擬於 MATLAB 平台。未來希望能將本論文方法實現於嵌入式系統,除了繼續最佳化演算法的時間空間利用之外,也希望能開發出獨特的人機介面,以達到真正的智慧照明。

關鍵字

發光二極體；混色照明；演色性；色溫

並列摘要

This thesis presents a first-of-its-kind approach and simulation of multi-chromatic LED-based dynamic lighting system that the lighting performance can be optimized by itself to less than 5% error. In this work, though the parameters we want to optimize should be calculated nonlinearly, the control of the different LEDs is formulated as a linear optimization problem via the spectrum matching strategy, which is a new way to think how to optimize a dynamic lighting system. Instead of optimizing each parameter directly, here we provide a much more time-saving and space-saving way to optimize the color rendering index, correlated color temperature and luminous flux. Consequently the lighting system can dynamically optimize the light output for greater controllability, higher color quality and luminous flux. The algorithm is also chosen from lots of studies from machine learning, computer science to numerical recipe and implemented into MATLAB to simulate the entire system. In summary, this thesis provides the foundation for future research in the areas of the spectral mixture lighting system model, efficient lighting control, dynamic utility regulation and optimization.

並列關鍵字

LED ； Smart lighting ； Color rendering index ； Correlated color temperature

參考文獻

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國際替代計量

智慧型動態日光模擬照明系統

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