照明工程学报
照明工程學報
조명공정학보
CHINA ILLUMINATING ENGINEERING JOURNAL
2014年
4期
85-89
,共5页
贺志华%董前民%王少雷%李敏
賀誌華%董前民%王少雷%李敏
하지화%동전민%왕소뢰%리민
偏微分方程%LED光学设计%均匀度%道路照明
偏微分方程%LED光學設計%均勻度%道路照明
편미분방정%LED광학설계%균균도%도로조명
partial differential equations%LED optical design%uniformity%street lighting
鉴于LED在道路照明应用中的复杂性和特殊性,以非成像光学为基础,提出了一种新颖的用于道路均匀照明透镜设计方案。运用微分几何原理,建立自由曲面面型的一阶拟线性双曲型偏微分方程,并在matlab中进行数值求解,将所得面型数据导入SolidWorks中建立透镜模型,该透镜将LED朗伯分布转化为道路照明所需的蝙蝠翼分布。通过Tracepro对所建透镜进行光线追迹,结果表明10m处目标面的整体均匀度在85%以上,能量利用率为89.2%。在对扩展光源配光时,该光学系统仍保持较好的照明效果,不仅有效照明区域符合预期,且照度均匀度优于0.80。用DIALux模拟该透镜组成的5×10式模组的路灯系统的照明效果,结果显示路面照度均匀度达0.83,符合国家标准。
鑒于LED在道路照明應用中的複雜性和特殊性,以非成像光學為基礎,提齣瞭一種新穎的用于道路均勻照明透鏡設計方案。運用微分幾何原理,建立自由麯麵麵型的一階擬線性雙麯型偏微分方程,併在matlab中進行數值求解,將所得麵型數據導入SolidWorks中建立透鏡模型,該透鏡將LED朗伯分佈轉化為道路照明所需的蝙蝠翼分佈。通過Tracepro對所建透鏡進行光線追跡,結果錶明10m處目標麵的整體均勻度在85%以上,能量利用率為89.2%。在對擴展光源配光時,該光學繫統仍保持較好的照明效果,不僅有效照明區域符閤預期,且照度均勻度優于0.80。用DIALux模擬該透鏡組成的5×10式模組的路燈繫統的照明效果,結果顯示路麵照度均勻度達0.83,符閤國傢標準。
감우LED재도로조명응용중적복잡성화특수성,이비성상광학위기출,제출료일충신영적용우도로균균조명투경설계방안。운용미분궤하원리,건립자유곡면면형적일계의선성쌍곡형편미분방정,병재matlab중진행수치구해,장소득면형수거도입SolidWorks중건립투경모형,해투경장LED랑백분포전화위도로조명소수적편복익분포。통과Tracepro대소건투경진행광선추적,결과표명10m처목표면적정체균균도재85%이상,능량이용솔위89.2%。재대확전광원배광시,해광학계통잉보지교호적조명효과,불부유효조명구역부합예기,차조도균균도우우0.80。용DIALux모의해투경조성적5×10식모조적로등계통적조명효과,결과현시로면조도균균도체0.83,부합국가표준。
Given the complexity and particularity of the LED in the application of street lighting , this paper presents a new lens design method for street uniform lighting based on non-imaging optics .Using the theory of differential geometry to set up the first-order quasi-linear hyperbolic partial differential equations of the freeform lens surface , and solve it by numerical solution in matlab , using the data of the lens profile , the lens model is established in SolidWorks .The designed lens can convert the Lambert distribution of the LED into the bat wing distribution for street lighting .The designed optical system simulated with ray-tracing in TracePro, the results show that the overall uniformity of the 10m distance target plane is above 85%, and the efficiency is 89 .2%.This optical system still maintains good lighting effect when point at extended light source .Not only is the effective illumination area in line with expectations , but also can keep the uniformity above 80%.The street lighting system , which uses the designed lens consisting of 5 ×10-in modular, simulated the lighting effects in DIALux .The results show that the uniformity achieves 83% on road surface , which conform the national standard .