CN109673082B - Spectrum, color and color temperature control method of LED lighting system - Google Patents

Spectrum, color and color temperature control method of LED lighting system Download PDF

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CN109673082B
CN109673082B CN201811606258.0A CN201811606258A CN109673082B CN 109673082 B CN109673082 B CN 109673082B CN 201811606258 A CN201811606258 A CN 201811606258A CN 109673082 B CN109673082 B CN 109673082B
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宁效龙
何子力
王启星
张昕昱
刘�文
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University of Science and Technology of China USTC
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Abstract

The invention discloses a method for controlling the spectrum, color and color temperature of an LED lighting system, which adopts the scheme that whether the spectrums of a target spectrum and the system spectrum are consistent or not is judged by calculating the distance between the spectrums on a color coordinate (namely the color difference of two light sources), thereby greatly simplifying the inconvenience that the prior spectrum regulation technology needs a plurality of experiments to obtain an ideal cycle limiting condition; meanwhile, the PWM driving dimming technology is adopted, so that the problem of light color deviation in the process of analog dimming is avoided, and the effect of saving energy when the lighting system is applied to lighting of plant factories is achieved.

Description

Spectrum, color and color temperature control method of LED lighting system
Technical Field
The invention relates to the field of LED illumination and color, in particular to a method for controlling the spectrum, the color and the color temperature of an LED illumination system.
Background
As people are moving step by step towards the world of everything interconnection, intelligent lighting is also gradually moving into the field of view of the public as a technical field closely related to human daily life. Intelligent lighting means that the lighting system can learn the parameters of the ambient light through various sensors, and thus adjust the relevant control parameters of the system to match the ideal light environment. The intelligent lighting system can be applied to living lighting of human beings, and along with the development of indoor agriculture such as plant factories, how to better realize lighting control of plants also becomes a new development direction of the intelligent lighting system. For human life lighting, the color and color temperature of the illumination light are very important lighting parameters; for plant illumination, the spectrum (light quality ratio) of the illumination light is an important illumination parameter. Therefore, in order to meet the application requirements of different lighting scenes, an intelligent lighting system adjusting method capable of accurately meeting the target color and color temperature and the target spectrum is needed.
The LED has gradually replaced the original incandescent lamp and fluorescent lamp as the illumination light source in the new century by virtue of its advantages of high luminous efficiency, long service life, good monochromaticity, various selectable wavelengths of emitted light, convenient control, etc. Meanwhile, the LED can obtain any light formula in a visible spectrum range required by human beings through free combination by virtue of the advantages of good monochromaticity and various selectable light-emitting spectrums, so that the LED is not the second choice of a light source in an intelligent lighting system.
The dimming principle of the existing lighting system based on the LED light source mainly comprises two methods [ spectral proportion and optimization algorithm of an LED mixed light source, high source, and the like, China lighting electrical appliance, No. 11 in 2015, p16], one method is to traverse spectral power distribution of various different LED combinations by calculation and then obtain a preferred color mixing scheme, the other method is to simplify a target spectrum into a light color proportion (namely, color coordinates) to enable target light color to meet specific points on a chromaticity diagram so as to achieve dimming and color mixing of the system, the two methods have corresponding disadvantages, for the first method, because a visible light spectral range is large (380nm-780nm), if the number of selected LED lighting light sources is large, the adjustment is too much, the operation and adjustment complexity of the system are too high, the system is seriously crashed, for the second method, if the considered light source is a black body, the color coordinates of the light source are known, the spectral power distribution of the light source can be adjusted by using a Pock formula, the spectral power distribution of the light source is calculated, and the spectral power distribution of the system is adjusted by a spectral power distribution of the spectrum, and the spectral power distribution of the spectrum is adjusted by a theoretical calculation method, even though the spectral power distribution of the spectrum is not adjusted by a simple calculation, the spectral power distribution of the spectrum, the spectral power distribution of the spectrum is calculated, the spectrum, the spectral power distribution of the spectrum is adjusted by a target light source, the spectrum, the spectral power distribution of the spectrum is adjusted by a target light source, the spectral power of the spectrum, the spectrum is adjusted, the spectrum of the target light source, the target light source is adjusted, the target light source is adjusted, the spectrum is adjusted, the adjusted.
Disclosure of Invention
The invention aims to provide a method for controlling the spectrum, color and color temperature of an LED lighting system, which can meet the requirements of accurately regulating and controlling the spectrum, color and color temperature of the lighting system and can achieve the aim of quick and convenient effect.
The purpose of the invention is realized by the following technical scheme:
a method of controlling spectrum, color and color temperature of an LED lighting system, comprising:
step 1, respectively carrying out point collection on the total spectral power distribution of the current system spectrum and the spectral power distribution of a target spectrum in the same mode to obtain corresponding arrays;
step 2, calculating the distance between the target spectrum and the current system spectrum on a color coordinate by using the two arrays, thereby judging whether the spectral line type, the color and the color temperature of the current system spectrum and the target spectrum meet allowable errors;
step 3, if not, grouping the total spectral power array of the system spectrum and the spectral power array of the target spectrum according to the number of the LED lamps in the LED lighting lamp group to obtain two sub-array sets in one-to-one correspondence; calculating the difference value of the corresponding sub-array in the two sub-array sets one by one, and adjusting the PWM dimming duty ratio coefficient of the corresponding LED lamp according to the difference value, so as to obtain the total spectral power distribution of the adjusted system spectrum; and returning to the step 1 to execute the correlation process until the spectral linetype, the color and the color temperature of the system spectrum and the target spectrum meet the allowable error.
According to the technical scheme provided by the invention, on one hand, the scheme of judging whether the target spectrum and the system spectrum are consistent or not by calculating the distance between the target spectrum and the system spectrum on the color coordinate (namely the color difference of two light sources) is firstly adopted, so that the inconvenience that an ideal cycle limiting condition can be obtained only by a plurality of experiments in the conventional spectrum adjusting technology is greatly simplified; on the other hand, the PWM driving dimming technology is adopted, so that the problem of light color deviation in the analog dimming process is avoided, and the effect of saving energy when the lighting system is applied to lighting of plant factories is achieved.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on the drawings without creative efforts.
Fig. 1 is a flowchart of a method for controlling spectrum, color and color temperature of an LED lighting system according to an embodiment of the present invention;
FIG. 2 is a schematic structural diagram of a device constructed for practical application according to an embodiment of the present invention;
fig. 3 is a diagram illustrating an operation result when a target spectrum is an arbitrary spectrum generated by a lighting fixture according to an embodiment of the present invention;
fig. 4 shows the operation result of the embodiment of the invention when the target spectrum is the cold white LED spectrum.
Detailed Description
The technical solutions in the embodiments of the present invention are clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the invention provides a method for controlling the spectrum, the color and the color temperature of an LED lighting system, which mainly comprises the following steps as shown in figure 1:
step 1, respectively carrying out point collection on the total spectral power distribution of the current system spectrum and the spectral power distribution of the target spectrum in the same mode to obtain corresponding arrays.
1. The total spectral power distribution of the system spectrum is calculated.
Assuming that the LED lighting lamp set comprises n LED lamps, determining the peak power P of each LED lampi(unit: mW), peak wavelength lambdai(unit: nm) and half-width (. DELTA.. lamda.) of half heighti(unit: nm), wherein i represents the number of LED lamps of different wavelengths; these three parameters can be obtained by consulting a product manual or by measurement.
The relative spectral distribution of each single-color LED is fitted by utilizing Gaussian distribution, and relevant researches and calculations show that the correlation index of a curve under the Gaussian fitting and the actual spectral distribution of the LED reaches more than 98 percent, so that the Gaussian distribution is used for replacing the actual spectrum of the LED, and the specific relation formula of the Gaussian distribution is as follows:
Figure BDA0001922717630000041
in the above formula, S (lambda)iSpectral power (unit: mW) at wavelength λ for LED luminaire i;
setting a PWM dimming duty factor for the LED lamp, wherein the spectral distribution curve of the LED lamp i with the PWM dimming duty factor is DiS(λ)iWherein D isiPWM dimming duty factor for LED luminaire i, DiIs set to 1.
The total spectral power distribution DS (λ) of the system spectrum is given by:
DS(λ)=D1S(λ)1+D2S(λ)2+…+Dn-1S(λ)n-1+DnS(λ)n
as can be understood by those skilled in the art, since the PWM dimming duty factor may need to be adjusted for multiple times, the total spectral power distribution of the adjusted system spectrum will change to some extent, and meanwhile, the adjustment is continued based on the total spectral power distribution of the adjusted system spectrum, so that it is an iterative operation process; that is, the total spectral power distribution of the "current" system spectrum is actually the total spectral power distribution of the system spectrum at the initial time, or the total spectral power distribution of the system spectrum obtained from the last iteration.
2. And data sampling and grouping.
1) Sampling the total spectral power distribution of the system spectrum, and selecting to sample a data point every xnm within the range of 380nm to 780nm to obtain a corresponding system spectral power array Ps[j]=[Ps1,Ps2,……,Psj-1,Psj]Where j represents the total number of sample points.
2) Sampling the spectral power distribution of the target spectrum, and sampling a data point every xnm within the range of 380nm to 780nm to obtain a corresponding target spectral power array Pt[j]=[Pt1,Pt2,……,Ptj-1,Ptj]。
And 2, calculating the distance between the target spectrum and the current system spectrum on a color coordinate by using the two arrays, thereby judging whether the spectral line type, the color and the color temperature of the current system spectrum and the target spectrum meet allowable errors.
The international commission on illumination (CIE) made a new technical note about the representation of source chromatism in the standard document published in 2014 (CIE TN 001,2014), which states that an nth order macadam ellipse on a u 'v' chromaticity diagram can be replaced by an nth order u 'v' circle, and the radius of the nth order u 'v' circle is roughly equal to n multiplied by 0.0011. Fluorescent lamps generally adopt 5-order microphonesAdam ellipses are used as chromatic aberration capacity (the minimum color difference perceived by human eyes), and similarly, this method can be adopted to determine the allowable range of chromatic aberration of two light sources. Therefore, it is assumed that the coordinates of the two light sources on the u 'v' chromaticity diagram are (u ', v') and (u ', v'), respectivelyc′,vc'), if:
(u′-uc′)2+(v′-vc′)2≤(0.0055)2
the color difference between the two light sources can be considered as consistent in practical application. By this method, it can be determined whether the spectral linetype, color and color temperature of the system spectrum and the target spectrum have reached the same value.
Order to
Figure BDA0001922717630000051
The above equation can be simplified to:
Δuv≤0.0055
the coordinate values of the system spectrum and the eye spectrum on the u 'v' color coordinate can be obtained by the following formula:
Figure BDA0001922717630000052
Figure BDA0001922717630000053
in the above formula, the first and second carbon atoms are,
Figure BDA0001922717630000054
wherein P (λ) is the absolute spectral power distribution;
Figure BDA0001922717630000055
the spectrum tristimulus values are obtained by table look-up; Δ λ is the spectral data sampling interval; (u, v) represents coordinate values on the u 'v' color coordinates.
The system spectral power array P is obtained in the step 1s[j]And target spectral power array Pt[j]The arrays are substituted into the above u, v calculation formula to obtain the targetThe coordinate values of the spectrum and the system spectrum on the u 'v' color coordinate are respectively marked as (u)t′,vt') and (u)s′,vs') to a host; wherein, the system spectral power array Ps[j]And target spectral power array Pt[j]All contain three pieces of information: absolute spectral power distribution, wavelength of light at sampling points, and sampling point intervals; ps[j]、Pt[j]Corresponding to P (λ), the wavelength of light at the sampling points corresponds to λ, and the sampling point spacing corresponds to Δ λ.
Then, the coordinate value (u) is determined in combination with the simplified formula mentioned earliert′,vt') and (u)s′,vs') whether the relationship satisfies the following equation:
Figure BDA0001922717630000056
Δuv≤0.0055。
if the error interval is within the allowable error interval, the spectrums of the two are very similar, and the system spectrum power array P is directly outputs[j]。
Step 3, if not, grouping the total spectral power array of the system spectrum and the spectral power array of the target spectrum according to the number of the LED lamps in the LED lighting lamp group to obtain two sub-array sets in one-to-one correspondence; calculating the difference value of the corresponding sub-array in the two sub-array sets one by one, and adjusting the PWM dimming duty ratio coefficient of the corresponding LED lamp according to the difference value, so as to obtain the total spectral power distribution of the adjusted system spectrum; and returning to the step 1 to execute the correlation process until the spectral linetype, the color and the color temperature of the system spectrum and the target spectrum meet the allowable error.
1. And grouping the total spectral power array of the system spectrum and the spectral power array of the target spectrum.
Setting a spectral interval [ lambda ] with the peak wavelength as a middle point according to the peak wavelength and the full width at half maximum of each LED lampi1i2],
Figure BDA0001922717630000061
In the formula ofi1And λi2Respectively grouping a system spectral power array and a target spectral power array according to different spectral intervals corresponding to the n types of LED lamps to obtain two sub-array sets in one-to-one correspondence; each sub-array set comprises n sub-arrays.
For example, the target spectral power arrays are grouped to obtain P1t,P2t,…,P(n-1)t,PntThe n sub-arrays are grouped to obtain P1s,P2s,…,P(n-1)s,PnsThe i sub-arrays are in one-to-one correspondence.
2. PWM dimming duty cycle coefficient adjustment
Subtracting each item in the corresponding target spectrum and system spectrum power sub-array, and summing the difference values to obtain the difference value V between the target spectrum and the system spectrum power in each spectrum intervali
Then, if ViIf the target spectral power is less than the system spectral power in the interval, the duty ratio D of the LED lamp i is less than 0iThe need for reduction; if Vi>0, representing that the target spectral power is larger than the system spectral power in the interval, the duty ratio D of the LED lamp iiNeed to be increased; if ViWhen the target spectral power is equal to the system spectral power in the interval, 0 represents that the duty ratio D of the LED lamp i is equal to the system spectral poweriRemaining unchanged, i.e. the PWM dimming duty cycle coefficient D of the respective LED luminaire is adjusted usingi
Figure BDA0001922717630000062
Wherein D isi' denotes the adjusted PWM dimming duty factor of the LED luminaire i, ηiAnd adjusting the coefficient for the duty ratio of the LED lamp i.
At the same time, η is adopted to make the adjustment more efficientiA variable approach. For example when ViIs small in absolute valueAt the set value sigma, ηiWhen the duty ratio is no longer adjusted, i.e. the lamp numbered i, it can be specifically represented by the following formula:
duty cycle adjustment factor ηiIs determined by the following formula:
Figure BDA0001922717630000063
wherein σ is a set value.
After the PWM dimming duty factor of the LED lamp is changed, the aforementioned formula DS (λ) is matched to D1S(λ)1+D2S(λ)2+…+Dn-1S(λ)n-1+DnS(λ)nCalculating the total spectral power distribution of the adjusted system spectrum, then, executing the step 1 to group the system spectrum, wherein the spectral power array of the target spectrum does not need to be sampled and grouped, and the previous grouped data is used; and (3) switching to the step (2) to judge whether the requirements are met, if not, adjusting the PWM dimming duty ratio coefficient of the LED lamp again through the step (3) until the spectral line type, the color and the color temperature of the system spectrum and the target spectrum meet the allowed errors. Once the spectrum distribution of the light source is measured, the chromaticity coordinate and the color temperature can be calculated, and the specific spectrum distribution of the light source has the unique chromaticity coordinate corresponding to the specific spectrum distribution, so that the difference between the spectra of the two light sources can be completely judged by calculating the size of the color difference between the two light sources.
The scheme of the embodiment of the invention can quickly, effectively, accurately and conveniently realize the adjustment of the lighting system, and can adjust the spectrum, the color and the color temperature of the lighting system to the required target spectrum, color and color temperature. Firstly, the invention firstly adopts the method of grouping the visible spectrum ranges (380nm-780nm) of human eyes according to the self attributes (peak wavelength, full width at half maximum and the like) of the LED lamps and then respectively regulating and controlling, thereby greatly reducing the complexity of the system; secondly, the invention firstly adopts a scheme of judging whether the target spectrum and the system spectrum are consistent or not by calculating the distance between the target spectrum and the system spectrum on the color coordinates (namely the color difference of two light sources), thereby greatly simplifying the inconvenience that the prior spectrum regulation technology needs a plurality of experiments to obtain an ideal cycle limiting condition. Meanwhile, the invention firstly introduces the technical standard formulated by the CIE of the international organization, so that the method is more standardized and is more beneficial to popularization. In addition, the PWM driving dimming technology is adopted, so that the problem of light color deviation which can appear in the process of simulated dimming is avoided, and the effect of saving energy when the lighting system is applied to lighting of plant factories can be achieved (relevant researches show that [ the influence of different duty ratios of LEDs on the growth, the yield, the quality and the photosynthetic property of lettuce, Juanjuan, northwest agriculture and forestry science and technology university, 5 months 2014 ] is shown, in the field of plant lighting, because the absorption of light energy by plants is not continuous in time, when the duty ratio of the LEDs is a certain specific value, the effects of reducing the electric energy consumption of production and being beneficial to improving the economic yield of the plants can be achieved).
For ease of understanding, the following detailed description is made with reference to examples.
Example 1: in practical application, the device structure shown in fig. 2 can be set up to implement the spectrum, color and color temperature control method of the LED lighting system. The device structure mainly includes: the LED illumination lamp comprises a microprocessor 1, an LED illumination lamp group 2, a spectrometer 3 and a direct current power supply 4. The microprocessor 1 is used for receiving, processing and sending data; the LED lighting lamp set 2 comprises a plurality of monochromatic LED lamps with different dominant wavelengths and corresponding PWM dimming driving circuits, and each LED lamp with each wavelength is provided with an independent PWM dimming driving circuit; the spectrometer 3 is used for acquiring a target spectrum, so that the microprocessor 1 can send corresponding processing signals to the LED lighting lamp set 2 in real time according to the target spectrum, and the microprocessor 1 is mainly used for executing the steps 1-3 to adjust the LED lighting lamp set 2; the dc power supply 4 is used to supply power to the system. The LED lighting lamp set 2 and the spectrometer 3 are respectively connected with the microprocessor 1.
Example 2: the lighting lamp set consists of 4 LED lamps with different wavelengths, which are produced by a certain company, and the parameters of the lighting lamp set are as follows:
serial number Peak wavelength (nm) Full width at half maximum (nm) Peak power (mW)
1 445 28 145
2 540 38 104
3 580 98 158
4 635 28 45
Table 14 lighting lamp set composed of LED lamps with different wavelengths
First, the Gaussian distribution functions of the LED lamps are calculated, and are respectively S (lambda)1,S(λ)2,S(λ)3,S(λ)4… …, and the total spectral power distribution DS (lambda) of the system spectrum can be obtained. Then, starting data point acquisition work, and acquiring data points every 5nm in the range of 380nm to 780nm for both the system spectrum and the target spectrum to obtain corresponding data pointsThe spectral power array of (a). And finally, carrying out iterative operation according to the method and finally obtaining a system spectrum which is consistent with the target spectrum.
Setting the target spectrum to ① tests the effect of the above method using one arbitrary spectrum generated by the lighting fixture and ② cold white LED spectra, respectively.
Fig. 3 shows the case where the target spectrum is generated by the lighting fixture set, and it can be seen that the spectral curves of the two are almost perfectly matched, where the u 'v' color coordinates and color temperature of the target spectrum are (0.2046,0.3432) and 4564K, respectively, and the u 'v' color coordinates and color temperature of the system spectrum are (0.2041,0.3432) and 4523K, respectively, and almost completely coincide. Fig. 4 shows the target spectrum as a cold white LED spectrum, and it can be seen that the spectral curves of the two are very similar, where the u 'v' color coordinates and color temperature of the target spectrum are (0.2029,0.3115) and 6228K, respectively, and the u 'v' color coordinates and color temperature of the system spectrum are (0.2010,0.3143) and 6125K, respectively, which are also very similar.
Through the above description of the embodiments, it is clear to those skilled in the art that the above embodiments can be implemented by software, and can also be implemented by software plus a necessary general hardware platform. With this understanding, the technical solutions of the embodiments can be embodied in the form of a software product, which can be stored in a non-volatile storage medium (which can be a CD-ROM, a usb disk, a removable hard disk, etc.), and includes several instructions for enabling a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods according to the embodiments of the present invention.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (6)

1. A method for controlling spectrum, color and color temperature of an LED illumination system is characterized by comprising the following steps:
step 1, respectively carrying out point collection on the total spectral power distribution of the current system spectrum and the spectral power distribution of a target spectrum in the same mode to obtain corresponding arrays;
step 2, calculating the distance between the target spectrum and the current system spectrum on a color coordinate by using the two arrays, thereby judging whether the spectral line type, the color and the color temperature of the current system spectrum and the target spectrum meet allowable errors;
step 3, if not, grouping the total spectral power array of the system spectrum and the spectral power array of the target spectrum according to the number of the LED lamps in the LED lighting lamp group to obtain two sub-array sets in one-to-one correspondence; calculating the difference value of the corresponding sub-array in the two sub-array sets one by one, and adjusting the PWM dimming duty ratio coefficient of the corresponding LED lamp according to the difference value, so as to obtain the total spectral power distribution of the adjusted system spectrum; returning to the step 1 to execute the relevant process until the spectral line type, the color and the color temperature of the system spectrum and the target spectrum meet the allowable error;
wherein, the total spectral power array of the system spectrum and the spectral power array of the target spectrum are grouped according to the number of the LED lamps in the LED lighting lamp set, and obtaining two sub-arrays in one-to-one correspondence comprises:
setting a spectral interval [ lambda ] with the peak wavelength as a middle point according to the peak wavelength and the full width at half maximum of each LED lampi1,λi2],
Figure FDA0002394972110000012
Figure FDA0002394972110000013
In the formula ofiAnd Δ λiRespectively the peak wavelength and the full width at half maximum, lambda, of the LED lampi1And λi2Respectively grouping the system spectral power array and the target spectral power array according to different spectral intervals corresponding to the n types of LED lamps to obtain two boundary wavelengths of the LED lamp i, wherein the two boundary wavelengths are respectively the two boundary wavelengths of the LED lamp i, and the two spectral power arrays are in one-to-one correspondenceA sub array set; each sub-array set comprises n sub-arrays.
2. The method of claim 1, wherein the calculating of the total spectral power distribution of the current system spectrum comprises:
assuming that the LED lighting lamp set comprises n LED lamps, determining the peak power P of each LED lampiPeak wavelength lambdaiAnd full width at half maximum Δ λiWherein i represents the number of the LED lamps with different wavelengths;
the gaussian distribution is used instead of the actual spectrum of the LED:
Figure FDA0002394972110000011
in the above formula, S (lambda)iSpectral power at wavelength λ for LED luminaire i;
the spectral distribution curve of the LED lamp i is DiS(λ)iWherein D isiPWM dimming duty factor for LED luminaire i, DiIs set to 1;
the total spectral power distribution DS (λ) of the current system spectrum is given by:
DS(λ)=D1S(λ)1+D2S(λ)2+…+Dn-1S(λ)n-1+DnS(λ)n
3. the method of claim 1, wherein the step of sampling the total spectral power distribution of the current system spectrum and the spectral power distribution of the target spectrum in the same manner to obtain the corresponding arrays comprises:
sampling the total spectral power distribution of the system spectrum, and selecting to sample a data point every xnm within the range of 380nm to 780nm to obtain a corresponding system spectral power array Ps[j]=[Ps1,Ps2,..….,Psj-1,Psj]Where j represents the total number of sample points;
sampling the spectral power distribution of the target spectrum, and sampling a data point every xnm within the range of 380nm to 780nm to obtain a corresponding target spectral power array Pt[j]=[Pt1,Pt2,......,Ptj-1,Ptj]。
4. The method of claim 1, wherein the determining whether the spectral profile, color and color temperature of the current system spectrum and the target spectrum satisfy the allowable error by using the two arrays comprises:
array P of system spectral powers[j]And target spectral power array Pt[j]Substituting the following formula:
Figure FDA0002394972110000021
Figure FDA0002394972110000022
in the above formula, the first and second carbon atoms are,
Figure FDA0002394972110000023
wherein P (λ) is the absolute spectral power distribution;
Figure FDA0002394972110000024
the spectrum tristimulus values are obtained by table look-up; Δ λ is the spectral data sampling interval; (u, v) represents the coordinate value on the u 'v' color coordinate, the coordinate values on the u 'v' color coordinate of the target spectrum and the system spectrum are calculated and recorded as (u, v)t′,vt') and (u)s′,vs') to a host; wherein, Ps[j]、Pt[j]Corresponding to P (λ), the wavelength of light at the sampling points corresponds to λ, and the sampling point interval corresponds to Δ λ;
then, the coordinate value (u) is judgedt′,vt') and (u)s′,vs') whether the relationship satisfies the following equation:
Figure FDA0002394972110000025
Δuv≤0.0055。
5. the method of claim 2 or 3, wherein the step of calculating the difference between corresponding sub-arrays in the two sub-array sets one by one, and the step of adjusting the PWM dimming duty factor of the corresponding LED lamp according to the difference comprises:
subtracting each item in the corresponding target spectrum and system spectrum power sub-array, and summing the difference values to obtain the difference value V between the target spectrum and the system spectrum power in each spectrum intervali
Then, the PWM dimming duty ratio coefficient D of the corresponding LED lamp is adjusted by the following formulai
Figure FDA0002394972110000031
Wherein D isi' denotes the adjusted PWM dimming duty factor of the LED luminaire i, ηiAnd adjusting the coefficient for the duty ratio of the LED lamp i.
6. The method of claim 5, wherein the duty cycle adjustment factor η is set according to the methodiIs determined by the following formula:
Figure FDA0002394972110000032
wherein σ is a set value.
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