CN105138827A - Method for optimizing spectrum of multi-light-color LED - Google Patents

Abstract

The invention discloses a method for optimizing a spectrum of a multi-light-color LED. The method comprises the following steps 1, 2, 3 and 4 or 1, 5, 6 and 7 of: step 1, carrying out a method for mixing light colors of the spectrum of the multi-light-color LED; step 2, selecting and computing a synthetic chromaticity of the multi-light-color LED; step 3, computing spectral reflection efficiency of the multi-light-color LED; step 4, computing a light color effect of the multi-light-color LED after irradiating an object; step 5, selecting fitting chromaticity of the multi-light-color LED after irradiating the object; step 6, computing the light color effect of the of the multi-light-color LED; and step 7, computing the spectral reflection efficiency of the multi-light-color LED. According to the method, the spectral reflection efficiency and the light color effect are improved by virtue of a spectral optimization technology; and the method is applicable to landscape lighting, scene lighting, commercial lighting and certain functional lighting occasions and the like.

Description

One how photochromic LED light spectrum optimization method

Technical field

The present invention relates to lighting technical field, particularly relate to one how photochromic LED light spectrum optimization method.

Background technology

LED, due to its spectrum dirigibility, can be combined into the light source that polytype is photochromic.How photochromic LED can be combined by different modes, comprises the LED of multiple chip portfolio, forms LED and other the mode of different photochromic mixing based on fluorescent powder.This is alternative in spectrum for multi-chip LED, and control dirigibility, the aspects such as efficiency have advantage, and along with the lifting of chip technology and control technology, multi-chip LED will more be applied in illumination.Less better relative to multi-chip dirigibility based on fluorescent powder LED, but its stability is better.

When irradiating colored objects, how photochromic LED application, not only can change light source itself photochromic, also can change photochromic after irradiating object, and corresponding illumination efficiency is also different.At present, the research lacking related fields spectrum and optimize is compared.

Quantification is not carried out to photochromic effect in prior art, do not consider the efficiency of object reflects light, and how photochromic LED is not provided to the Optimized model scheme of system.

Summary of the invention

Instant invention overcomes deficiency of the prior art, provide a kind of and consider illuminated objects spectral reflectance curve characteristic, thus improve the how photochromic LED light spectrum optimization method of spectral reflectance efficiency and optimization photochromic effect.

In order to solve the technical matters of above-mentioned existence, the present invention adopts following technical proposals:

The present invention's how photochromic LED light spectrum optimization method comprises the following steps 1,2,3,4 or step 1,5,6,7:

Step 1, described how photochromic LED light composes photochromic mixed method;

Step 2, described how photochromic LED synthesizes colourity and selects and calculate;

Step 3, described how photochromic LED light spectrum reflection efficiency calculates;

Step 4, after described how photochromic LED illumination object, photochromic effect calculates;

Step 5, fits to colourity and selects after described how photochromic LED illumination object;

Step 6, described how photochromic LED light chromatic effect calculates;

Step 7, described how photochromic LED light spectrum reflection efficiency calculates.

The LED that described how photochromic LED comprises four chip LEDs, form based on blue chip or ultraviolet chip excitated fluorescent powder that different four photochromic look LED and light mixing way formed four kinds photochromic.

In described step 1 and the photochromic mixing of step 5, each photochromic LED proportion is linear, if a certain photochromic LED proportion is t, then each photochromic LED proportion can be expressed as k _it+b (i=1,2,3,4), wherein k _ifor slope, b _ifor constant, t is unknown number.

In described step 3, spectral reflectance efficiency SRLER is by formula

$\begin{array}{c}SRLER={\∫}_{380}^{780}P\left(\mathrm{\λ}\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)d\mathrm{\λ}/{\∫}_{380}^{780}P\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ ={\mathrm{\Σ}}_{380}^{780}P\left(\mathrm{\λ}\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\mathrm{\Δ}\mathrm{\λ}/{\mathrm{\Σ}}_{380}^{780}P\left(\mathrm{\λ}\right)\mathrm{\Δ}\mathrm{\λ}\\ ={\mathrm{\Σ}}_{380}^{780}\[\left(k_{1}t+b_1\right)P_1+...+\left(k_{4}t+b_4\right)P_4\]V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)/{\mathrm{\Σ}}_{380}^{780}\[\left(k_{1}t+b_1\right)P_1+...+\left(k_{4}t+b_4\right)P_4\]\\ =\frac{{\mathrm{\Σ}}_{380}^{780}\left(k_1{P}_1+...+k_4{P}_4\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)t+{\mathrm{\Σ}}_{380}^{780}\left(b_1{P}_1+...+b_4{P}_4\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)}{{\mathrm{\Σ}}_{380}^{780}\left(k_1{P}_1+...+k_4{P}_4\right)t+{\mathrm{\Σ}}_{380}^{780}\left(k_1{P}_1+...+k_4{P}_4\right)}\end{array}$

Represent, wherein P (λ) is spectral power distribution, and V (λ) is relative luminous efficiency function, and ρ (λ) is object spectra reflectivity curve, P ₁-P ₄for each monochromatic spectrum energy distribution, k ₁-k ₄for slope, b ₁-b ₄for constant, t is unknown number, and spectral reflectance efficiency SRLER and described t is inverse proportion funtcional relationship, has monotonicity.

The tristimulus values that in described step 4, after how photochromic LED illumination object, photochromic tints is corresponding can use formula

$\begin{array}{c}{X}_p=\∫P\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\∫\[\left(k_{1}t+b_1\right)P_1\left(\mathrm{\λ}\right)+...\left(k_{4}t+b_4\right)P_4\left(\mathrm{\λ}\right)\]\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)\∫P_1\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}+...+\left(k_{4}t+b_4\right)\∫P_4\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)X_1+...+\left(k_{4}t+b_4\right)X_4\end{array}$

$\begin{array}{c}{Y}_{\mathrm{\ρ}}=\∫P\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)Y_1+...+\left(k_{4}t+b_4\right)Y_4\end{array}$

$\begin{array}{c}{Z}_{\mathrm{\ρ}}=\∫P\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{z}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)Z_1+...+\left(k_{4}t+b_4\right)Z_4\end{array}$

Represent, wherein X _ρ, Y _ρ, Z _ρfor corresponding tristimulus values, X ₁, Y ₁, Z ₁... X ₄, Y ₄, Z ₄be the tristimulus values that four kinds of single-chip LED are corresponding, for spectral tristimulus value;

Chromaticity coordinate (the x that in described technical method, after how photochromic LED illumination object, photochromic tints is corresponding _ρ, y _ρ) available formula

$\begin{array}{c}{x}_{\mathrm{\ρ}}=\frac{X_{\mathrm{\ρ}}}{X_{\mathrm{\ρ}}+Y_{\mathrm{\ρ}}+Z_{\mathrm{\ρ}}}\\ =\frac{\left(k_{1}t+b_1\right)X_1+...+\left(k_{4}t+b_4\right)X_4}{\left(k_{1}t+b_1\right)\left(X_1+Y_1+Z_1\right)+...+\left(k_{4}t+b_4\right)\left(X_4+Y_4+Z_4\right)}\\ =\frac{\left(\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{k}_i{X}_i\right)\·t+\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{b}_i{X}_i}{\left(\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{k}_i\left(X_i+Y_i+Z_i\right)\right)\·t+\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{b}_i\left(X_i+Y_i+Z_i\right)}\end{array}$

$\left\{\begin{array}{c}{x}_{\mathrm{\ρ}}=\frac{a_{x}t+c_x}{bt+d}=\frac{a_x}{b}+\frac{({\mathrm{bc}}_x-a_{x}d)/b^2}{t+d/b}\\ y_{\mathrm{\ρ}}=\frac{a_{y}t+c_y}{bt+d}=\frac{a_y}{b}+\frac{({\mathrm{bc}}_y-a_{y}d)/b^2}{t+d/b}\end{array}\right.$

$y_{\mathrm{\ρ}}==\frac{{\mathrm{bc}}_y-a_{y}d}{{\mathrm{bc}}_x-a_{x}d}\·x_{\mathrm{\ρ}}+\frac{a_y}{b}-\frac{a_x}{b}\·\frac{{\mathrm{bc}}_y-a_{y}d}{{\mathrm{bc}}_x-a_{x}d}$

Represent, wherein $a_x=\underset{i=1}{\overset{4}{\Σ}}{k}_i{X}_i,a_y=\underset{i=1}{\overset{4}{\Σ}}{k}_i{Y}_i,c_x=\underset{i=1}{\overset{4}{\Σ}}{k}_i{X}_i,c_y=\underset{i=1}{\overset{4}{\Σ}}{k}_i{Y}_i,b=\underset{i=1}{\overset{4}{\Σ}}{k}_i\left(X_i+Y_i+Z_i\right),$ $d=\underset{i=1}{\overset{4}{\Σ}}{b}_i(X_i+Y_i+K_i).$

Described chromaticity coordinate (x _ρ, y _ρ) in x _ρbe inverse proportion function with t, corresponding y _ρbe inverse proportion function with t, y _ρwith x _ρlinearly function.

In described step 6, how photochromic LED colour mixture irradiating object reaches and specifies colourity effect, corresponding tristimulus values X ', Y ', Z ', chromaticity coordinate x ', y ', available formula

P“(λ)＝P’(λ)ρ(λ)

Represent, wherein P ' (λ) be how photochromic LED light spectral power distribution, P " (λ) for reflect after how photochromic LED light spectral power distribution, X ₁', Y ₁', Z ₁' ... X ₄', Y ₄', Z ₄' be the tristimulus values that four kinds of single-chip LED are corresponding, P ₁' (λ)-P ₄' (λ) is respectively four photochromic LED light spectral power distribution.

In described step 6, how photochromic LED light chroma color x ', y ' are inverse proportion funtcional relationship with described t respectively; Described how photochromic LED light chroma color coordinate y ' and chromaticity coordinate x ' linearly funtcional relationship.

Described step 5 obtains new spectral function P'(λ after adopting object spectra reflectivity curve ρ (λ) to revise each single-chip LED light spectrum P ' (λ)) ρ (λ), then carry out photochromic synthesis.

In described step 7, how photochromic LED light spectrum reflection efficiency and described t are inverse proportion funtcional relationship.

The present invention's how photochromic LED light spectrum optimization method is applicable to different places, comprises the function lighting of Landscape Lighting, commercial lighting, sight illumination and some indoor.It compared with prior art has following good effect.

1. quantification photochromic effect and spectral reflectance efficiency;

2., for the prediction of photochromic effect and efficiency, different application place Lighting Design can well be assisted;

3. optimized by how photochromic LED light spectrum, its paper reverse is penetrated comfortable photochromic, thus make overall reading effect comfortable, reduce and read fatigue for a long time, reach effect of eyeshield;

4. the present invention proposes for polychromatic light LED light spectrum optimizing research, can photochromic to light source, light source irradiation object back reflection is photochromic is optimized, and carries out spectrum optimization to illumination efficiency.

Accompanying drawing explanation

Fig. 1 is the present invention's how photochromic LED light spectrum optimization method step schematic diagram;

Fig. 2 is four kinds of photochromic LED light spectrogram signals;

Fig. 3 is four kinds of corresponding chromatic diagrams of photochromic LED;

Each several part spectrum proportion and t funtcional relationship schematic diagram when Fig. 4 is each photochromic LED synthesis 4000K color temperature light sources;

Fig. 5 is the corresponding chromatic value figure of eight kinds of CRI tinctorial patterns;

When Fig. 6 is how photochromic LED synthesis 4000K colour temperature, irradiate eight kinds of tinctorial patterns corresponding chromatic value variation relation figure;

Fig. 7 is each tinctorial pattern SRLER and t respective function graph of a relation.

Embodiment

Below in conjunction with drawings and the specific embodiments, the present invention is further elaborated.

The present invention's how photochromic LED light spectrum optimization method comprises: spectral reflectance improved efficiency, light source light chromatic effect and irradiating object photochromic effect are optimized.

Embodiment 1: select four single-chip LED, synthesis colour temperature is the how photochromic LED light source of 4000K.Four single-chip LED comprise red LED, amber LED, green LED and blue led, and as shown in Figure 2, as shown in Figure 3, wherein X point is colourity point of crossing to corresponding chromatic value to spectral power distribution, and the corresponding chroma point of 4000K colour temperature is positioned on Planck curve.In photochromic mixing, each photochromic LED proportion is linear, if a certain photochromic LED proportion is t, then each photochromic LED proportion can be expressed as k _it+b (i=1,2,3,4), wherein k _ifor slope, b _ifor constant, t is unknown number.Here set amber LED proportion as t, then each single-chip LED linearly ratio, as shown in Figure 4, each single-chip proportion is shown below.

$\left\{\begin{array}{c}f{\left(t\right)}_R=1.0848*t+0.571563\\ f{\left(t\right)}_A=t\\ f{\left(t\right)}_G=0.0415*t+0.33579\\ f{\left(t\right)}_B=0.126302*t+0.092646\end{array}\right.$

8 kinds of general tinctorial patterns that tinctorial pattern adopts CRI colour rendering corresponding, its chromaticity coordinate as shown in Figure 5.Chromaticity coordinate (the x how after photochromic LED illumination object, photochromic tints is corresponding _ρ, y _ρ) available formula represent, adopt after light source irradiation, 8 kinds of corresponding chromaticity coordinates of tinctorial pattern photochromic effect as shown in Figure 6, linearly funtcional relationship.And according to the spectral reflectance efficiency calculation that the present invention proposes, itself and t are inverse proportion funtcional relationship.As calculated, SRLER and t is inverse proportion funtcional relationship, as shown in Figure 7, when t is in more among a small circle, close to linear function.

Embodiment 2: the white paper reflectivity reading works according to books, newpapers and periodicals etc., (usual white paper reflectivity can be considered 1, if not 1, then measures its spectral reflectance curve), carry out how photochromic LED light spectrum to optimize, paper reverse is penetrated comfortable photochromic; And word is generally black or the higher color of saturation degree, its change is relatively little.Thus reach the object improving reading comfort degree.

The foregoing is only preferred embodiment of the present invention, not in order to limit the present invention, all any amendments done within the spirit and principles in the present invention, equivalent replacement and improvement etc., all should be included within protection scope of the present invention.

Claims (10)

1. the spectrum of photochromic LED light a more than optimization method, it is characterized in that, it comprises the following steps 1,2,3,4 or step 1,5,6,7:

Step 1, described how photochromic LED light composes photochromic mixed method;

Step 2, described how photochromic LED synthesizes colourity and selects and calculate;

Step 3, described how photochromic LED light spectrum reflection efficiency calculates;

Step 4, after described how photochromic LED illumination object, photochromic effect calculates;

Step 5, fits to colourity and selects after described how photochromic LED illumination object;

Step 6, described how photochromic LED light chromatic effect calculates;

Step 7, described how photochromic LED light spectrum reflection efficiency calculates.

2. according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, described how photochromic LED comprises four chip LEDs, LED that form based on blue chip or ultraviolet chip excitated fluorescent powder that different four photochromic look LED and light mixing way formed four kinds photochromic.

3. according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, in described step 1 and the photochromic mixing of step 5, each photochromic LED proportion is linear.

4., according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, in described step 3, spectral reflectance efficiency SRLER is by formula

$\begin{array}{c}SRLER={\∫}_{380}^{780}P\left(\mathrm{\λ}\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)d\mathrm{\λ}/{\∫}_{380}^{780}P\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ ={\mathrm{\Σ}}_{380}^{780}P\left(\mathrm{\λ}\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\mathrm{\Δ}\mathrm{\λ}/{\mathrm{\Σ}}_{380}^{780}P\left(\mathrm{\λ}\right)\mathrm{\Δ}\mathrm{\λ}\\ ={\mathrm{\Σ}}_{380}^{780}\[\left(k_{1}t+b_1\right)P_1+...+\left(k_{4}t+b_4\right)P_4\]V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)/{\mathrm{\Σ}}_{380}^{780}\[\left(k_{1}t+b_1\right)P_1+...+\left(k_{4}t+b_4\right)P_4\]\\ =\frac{{\mathrm{\Σ}}_{380}^{780}\left(k_1{P}_1+...+k_4{P}_4\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)t+{\mathrm{\Σ}}_{380}^{780}\left(b_1{P}_1+...+b_4{P}_4\right)V\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)}{{\mathrm{\Σ}}_{380}^{780}\left(k_1{P}_1+...+k_4{P}_4\right)t+{\mathrm{\Σ}}_{380}^{780}\left(k_1{P}_1+...+b_4{P}_4\right)}\end{array}$

Represent, wherein P (λ) is spectral power distribution, and V (λ) is relative luminous efficiency function, and ρ (λ) is object spectra reflectivity curve, P ₁-P ₄for each monochromatic spectrum energy distribution, k ₁-k ₄for slope, b ₁-b ₄for constant, t is unknown number, and spectral reflectance efficiency SRLER and described t is inverse proportion funtcional relationship, has monotonicity.

5., according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, the tristimulus values that in described step 4, after how photochromic LED illumination object, photochromic tints is corresponding can use formula

$\begin{array}{c}{X}_{\mathrm{\ρ}}=\∫P\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\∫\[\left(k_{1}t+b_1\right)P_1\left(\mathrm{\λ}\right)+...\left(k_{4}t+b_4\right)P_4\left(\mathrm{\λ}\right)\]\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)\∫P_1\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}+...+\left(k_{4}t+b_4\right)\∫P_4\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)X_1+...+\left(k_{4}t+b_4\right)X_4\end{array}$

$\begin{array}{c}{Y}_{\mathrm{\ρ}}=\∫P\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)Y_1+...+\left(k_{4}t+b_4\right)Y_4\end{array}$

$\begin{array}{c}{Z}_{\mathrm{\ρ}}=\∫P\left(\mathrm{\λ}\right)\mathrm{\ρ}\left(\mathrm{\λ}\right)\stackrel{\‾}{z}\left(\mathrm{\λ}\right)d\mathrm{\λ}\\ =\left(k_{1}t+b_1\right)Z_1+...+\left(k_{4}t+b_4\right)Z_4\end{array}$

Represent, wherein X _ρ, Y _ρ, Z _ρfor corresponding tristimulus values, X ₁, Y ₁, Z ₁... X ₄, Y ₄, Z ₄be the tristimulus values that four kinds of single-chip LED are corresponding, for spectral tristimulus value;

Chromaticity coordinate (the x that in described technical method, after how photochromic LED illumination object, photochromic tints is corresponding _ρ, y _ρ) available formula

$\begin{array}{c}{x}_{\mathrm{\ρ}}=\frac{X_{\mathrm{\ρ}}}{X_{\mathrm{\ρ}}+Y_{\mathrm{\ρ}}+Z_{\mathrm{\ρ}}}\\ =\frac{\left(k_{1}t+b_1\right)X_1+...+\left(k_{4}t+b_4\right)X_4}{\left(k_{1}t+b_1\right)\left(X_1+Y_1+Z_1\right)+...+\left(k_{4}t+b_4\right)\left(X_4+Y_4+Z_4\right)}\\ =\frac{\left(\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{k}_i{X}_i\right)\·t+\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{b}_i{X}_i}{\left(\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{k}_i\left(X_i+Y_i+Z_i\right)\right)\·t+\underset{i=1}{\overset{4}{\mathrm{\Σ}}}{b}_i\left(X_i+Y_i+Z_i\right)}\end{array}$

$\left\{\begin{array}{c}{x}_{\mathrm{\ρ}}=\frac{a_{x}t+c_x}{bt+d}=\frac{a_x}{b}+\frac{({\mathrm{bc}}_x-a_{x}d)/b^2}{t+d/b}\\ y_{\mathrm{\ρ}}=\frac{a_{y}t+c_y}{bt+d}=\frac{a_y}{b}+\frac{({\mathrm{bc}}_y-a_{y}d)/b^2}{t+d/b}\end{array}\right.$

$y_{\mathrm{\ρ}}==\frac{{\mathrm{bc}}_y-a_{y}d}{{\mathrm{bc}}_x-a_{x}d}\·x_{\mathrm{\ρ}}+\frac{a_y}{b}-\frac{a_x}{b}\·\frac{{\mathrm{bc}}_y-a_{y}d}{{\mathrm{bc}}_x-a_{x}d}$

Represent, wherein $a_x=\underset{i=1}{\overset{4}{\Σ}}{k}_i{X}_i,a_y=\underset{i=1}{\overset{4}{\Σ}}{k}_i{Y}_i,c_x=\underset{i=1}{\overset{4}{\Σ}}{k}_i{X}_i,c_y=\underset{i=1}{\overset{4}{\Σ}}{k}_i{Y}_i,b=\underset{i=1}{\overset{4}{\Σ}}{k}_i\left(X_i+Y_i+Z_i\right),$ $d=\underset{i=1}{\overset{4}{\Σ}}{b}_i(X_i+Y_i+Z_i).$

6., according to how photochromic LED light spectrum optimization method according to claim 5, it is characterized in that, described chromaticity coordinate (x _ρ, y _ρ) in x _ρbe inverse proportion function with t, corresponding y _ρbe inverse proportion function with t, y _ρwith x _ρlinearly function

7., according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, in described step 6, how photochromic LED colour mixture irradiating object reaches and specifies colourity effect, corresponding tristimulus values X ', Y ', Z ', chromaticity coordinate x ', y ', available formula

P“(λ)＝P’(λ)ρ(λ)

Represent, wherein P ' (λ) be how photochromic LED light spectral power distribution, P " (λ) for reflect after how photochromic LED light spectral power distribution, X ₁', Y ₁', Z ₁' ... X ₄', Y ₄', Z ₄' be the tristimulus values that four kinds of single-chip LED are corresponding, be respectively four photochromic LED light spectral power distribution.

8. according to how photochromic LED light spectrum optimization method according to claim 7, it is characterized in that, in described step 6, how photochromic LED light chroma color x ', y ' are inverse proportion funtcional relationship with described t respectively; Described how photochromic LED light chroma color coordinate y ' and chromaticity coordinate x ' linearly funtcional relationship.

9. according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, described step 5 obtains new spectral function P'(λ after adopting object spectra reflectivity curve ρ (λ) to revise each single-chip LED light spectrum P ' (λ)) ρ (λ), then carry out photochromic synthesis.

10., according to how photochromic LED light spectrum optimization method according to claim 1, it is characterized in that, in described step 7, how photochromic LED light spectrum reflection efficiency and described t are inverse proportion funtcional relationship.