实现白光LED阵列色温分布均匀化技术研究
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摘要
本文通过优化白光LED阵列的结构,实现在目标面上产生均匀的色温分布。通过收集系统中每颗LED的色温坐标矩阵与照度矩阵,根据色温叠加公式,计算LED阵列在目标面上叠加后的色温分布,构建目标面上色温均匀度评价函数,评价函数反应目标面上色温分布的均匀性。通过优化阵列中LED的位置,使得评价函数的值最小,即目标面上色温均匀度最高。运用这种方法我们优化设计了两个实例:(1)相同规格的9颗白光LED方形阵列;(2)不同规格16颗圆形白光LED阵列,优化后色温均匀度均达到了95%以上。利用这种方法同样可以在目标面上同时实现均匀的色温分布与照度分布,设计9颗相同规格的白光LED以3×3方形阵列方式排布,优化后色温均匀度从78%提升到88.7%,照度的均匀度从42%提升到87.6%。分析实际加工制造过程产生的误差对色温均匀度的影响,随着制造误差的增大优化后色温均匀度下降,但均优于优化前色温分布均匀性。
In this paper,an algorithm is proposed to design white LED array for uniform distribution of the correlated color temperature(CCT)on the target surface.The color temperature distribution of LED array on the target surface can be calculated by superposition of color temperature superposition from different LEDs in the array.A merit function is constructed which reflects the uniformity of CCT distribution.The value of the merit function depends on all LED positions.By optimizing all LED positions,the merit function achieves the minimal value.When merit function achieves the minimalvalue,the uniformity of the CCT distribution will reaches the highest.By the method,two LED arrays are designed:(1)Square array consisting of 9 identical white LEDs(2)Circular array consisting of 16 white LEDs.After optimization,the two LED arrays both produce uniform CCT distribution with a uniformity of higher 95%.In addition,we also design another LED array which controls the uniformity of irradiance and CCT distribution simultaneously by constructing a special evaluation function.By optimizing the configuration of the LED array,the uniformity of the CCT is increased from 78% to 88.7%and the uniformity of the irradiance distribution is increased from 42% to 87.6%.Finally,the influence of the CCT errors of LEDs on the uniformity is analyzed.The results show that the uniformity of LED array will decrease with the increasing of the CCT errors of each LED.Also the algorithm is still quite effective for designing the LED array in which each LED has different CCT error.
In this paper,an algorithm is proposed to design white LED array for uniform distribution of the correlated color temperature(CCT)on the target surface.The color temperature distribution of LED array on the target surface can be calculated by superposition of color temperature superposition from different LEDs in the array.A merit function is constructed which reflects the uniformity of CCT distribution.The value of the merit function depends on all LED positions.By optimizing all LED positions,the merit function achieves the minimal value.When merit function achieves the minimalvalue,the uniformity of the CCT distribution will reaches the highest.By the method,two LED arrays are designed:(1)Square array consisting of 9 identical white LEDs(2)Circular array consisting of 16 white LEDs.After optimization,the two LED arrays both produce uniform CCT distribution with a uniformity of higher 95%.In addition,we also design another LED array which controls the uniformity of irradiance and CCT distribution simultaneously by constructing a special evaluation function.By optimizing the configuration of the LED array,the uniformity of the CCT is increased from 78% to 88.7%and the uniformity of the irradiance distribution is increased from 42% to 87.6%.Finally,the influence of the CCT errors of LEDs on the uniformity is analyzed.The results show that the uniformity of LED array will decrease with the increasing of the CCT errors of each LED.Also the algorithm is still quite effective for designing the LED array in which each LED has different CCT error.
引文
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[16]王加文.LED光源等效模型建立及均匀照度色度透镜设计[D].无锡:江南大学,2014.WANG J W.Modeling equivalent LEDs source and designing lens for uniform illumination and color distribution[D].Wuxi:Jiangnan University,2014.(in Chinese)
[2]吴庆,黄先,刘丽,等.色坐标对白光LED光通量的影响[J].发光学报,2007,28(5):736-740.WU Q,HUANG X,LIU L,et al.The corresponding relation between the color coordinate and the luminous flux[J].Chinese Journal of Luminescence,2007,28(5):736-740.(in Chinese)
[3]徐国芳,饶海波,余心梅,等.白光LED光斑均匀性的改进[J].发光学报,2008,29(4):707-712.XU G F,RAO H B,YU X M,et al.Improvement of optical uniformity of white LEDs[J].Chinese Journal of Luminescence,2008,29(4):707-712.(in Chinese)
[4]WANG K,WU D,CHEN F,et al.Angular color uniformity enhancement of white light-emitting diodes integrated with freeform lenses[J].Optics Letters,2010,35(11):1860-1862.
[5]宋国华,缪建文,施建珍,等.一种提高白光LED相关色温分布均匀性的方法[J].光电子·激光,2010,21(7):983-987.SONG G H,MIAO J W,SHI J Z,et al.An improvement method of unifrmity of color temperature of white-LED[J].Journal of Optoelectronics·Laser,2010,21(7):983-987.(in Chinese)
[6]MORENO I,CONTRERAS U.Color distribution from multicolor LED arrays[J].Optics Express,2007,15(6):3607-3618.
[7]王加文,苏宙平,袁志军,等.LED阵列模组化中的照度均匀性问题[J].光子学报,2014,43(8):0822004.WANG J W,SU Z P,YUAN Z J,et al.Study on uniformity of LED array illumination distribution on target plane[J].Acta Photonica Sinica,2014,43(8):0822004.(in Chinese)
[8]SU Z P,XUE D L,JI Z C.Designing LED array for uniform illumination distribution by simulated annealing algorithm[J].Optics Express,2012,20(S6):A843-A855.
[9]WU D H,WANG J W,SU Z P.Optimization and integration of LED array for uniform illumination distribution[J].Optoelectronics Letters,2014,10(5):335-339.
[10]殷录桥,杨卫桥,李抒智,等.基于三基色的动态色温白光发光二极管照明光源[J].光学学报,2011,31(5):0523004.YIN L Q,YANG W Q,LI S Z,et al.Dynamic color temperature white lighting source based on red green and blue light emitting diode[J].Acta Optica Sinica,2011,31(5):0523004.(in Chinese)
[11]刘平宇,陈长缨,张浩,等.基于红白蓝模式色温可调的LED照明系统[J].固体电子学研究与进展,2014,34(2):163-169.LIU P Y,CHEN C Y,ZHANG H,et al.Adjustable color temperature LED illumination system based on RWB model[J].Research&Progress of SSE,2014,34(2):163-169.(in Chinese)
[12]郝允祥,陈遐举,张保洲.光度学[M].北京:中国计量出版社,2010.HAOY X,CHEN X J,Zhang B Z.Photometry[M].Beijing:Chinese Metrology Publishing House,2010.(in Chinese)
[13]徐代升,陈晓,朱翔,等.基于冷暖白光LED的可调色温可调光照明光源[J].光学学报,2014,34(1):0123004.XU D S,CHEN X,ZHU X,et al.A dimming lighting source based on cold and warm white LEDs[J].Acta Optica Sinica,2014,34(1):0123004.(in Chinese)
[14]陈国飞.基于模拟退火的粒子群算法的函数优化研究[D].长沙:中南大学,2013.CHEN G F.Research of function optimization of PSO based on simulated annealing[D].Changsha:Central South University,2013.(in Chinese)
[15]龚纯,王正林.精通MATLAB最优化计算[M].3版.北京:电子工业出版社,2014.GONG C,WANG Z L.Proficient in MATLAB Optimization[M].3rd ed.Beijing:Publishing House of Electronics Industry,2014.(in Chinese)
[16]王加文.LED光源等效模型建立及均匀照度色度透镜设计[D].无锡:江南大学,2014.WANG J W.Modeling equivalent LEDs source and designing lens for uniform illumination and color distribution[D].Wuxi:Jiangnan University,2014.(in Chinese)