CN116400498A - Optimal design method of illumination system under non-uniform medium - Google Patents

Optimal design method of illumination system under non-uniform medium Download PDF

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CN116400498A
CN116400498A CN202310374062.8A CN202310374062A CN116400498A CN 116400498 A CN116400498 A CN 116400498A CN 202310374062 A CN202310374062 A CN 202310374062A CN 116400498 A CN116400498 A CN 116400498A
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light source
illumination
light
uniform medium
led
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邓七四
李雄
艾兴庆
陈越
崔艳丰
郝小垒
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Wuhan Chengke Technology Co ltd
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Abstract

The invention belongs to the technical field of optimal design of lighting systems, and particularly relates to an optimal design method of a lighting system under a non-uniform medium. The lighting system comprises a plurality of lighting units, wherein the lighting units comprise at least one LED unit module; the structural parameters of the LED unit module are determined based on the following modes: stp1, establishing a non-uniform medium space light attenuation relation model; stp2, optimizing a spectrum model in a non-uniform medium space; stp3, optimizing LED light source matrix parameters; STP4, distributing luminous flux output by a region division method, and mapping a region division result and an illumination surface. The LED matrix light source and lens refraction-based illumination system is mainly used for improving the illumination effect of the illumination system based on the LED matrix light source and lens refraction under specific inhomogeneous medium space, such as a high-humidity low-visibility area, underwater, a dust area and the like, improving the illumination uniformity of the LED matrix light source and lens refraction-based illumination system, improving the visibility of an illumination surface, and compared with the traditional scheme, the LED matrix light source and lens refraction-based illumination system is better in adaptability and higher in efficiency.

Description

Optimal design method of illumination system under non-uniform medium
Technical Field
The invention belongs to the technical field of optimal design of lighting systems, and particularly relates to an optimal design method of a lighting system under a non-uniform medium.
Background
The LED light source has low power consumption and long service life, gradually replaces the traditional bulb to become a current mainstream lighting scheme, the LED can achieve good uniform lighting effect through the optimal design of the light source and the lens, good lighting effect is achieved in various indoor and outdoor scenes, but the LED light source is more dispersed in light intensity, light penetrating power is general, when the humidity of air in a region is large or the content of other impurities is higher, the LED light source can be caused to generate non-uniform change as a light propagation medium, the lighting effect of the LED light source is directly influenced, the problems of blurred vision images, ghost images and the like are generated, and the conventional means have two problems, namely the local lighting effect is generally improved by adopting local light emission enhancement, the scheme is practically equivalent to discarding the plane output advantage of the LED light source, and the light emission uniformity is reduced.
Disclosure of Invention
The invention aims to provide an optimized design method of an illumination system under a non-uniform medium, which can be applied to various conditions of visibility and medium non-uniformity, and causes the problems of poor space illumination effect and the like.
In order to achieve the above purpose, the present invention adopts the following technical scheme.
An optimized design method of a lighting system under a non-uniform medium, wherein the lighting system comprises a plurality of lighting units, and each lighting unit comprises at least one LED unit module; the structural parameters of the LED unit module are determined based on the following modes:
stp1, and establishing a non-uniform medium space light attenuation relation model
Taking a light source installation position as an original point O, taking a main direction of a light source as a Z axis, and taking the Z axis as a normal direction to establish an XOY coordinate plane to establish a light source coordinate system OXYZ; determining a planned average illumination distance S; translating the XOY coordinate plane along the Z-axis direction by an S distance, and then establishing an illumination plane coordinate system O ' X ' Y ' Z; then based on the coordinate system, a non-uniform medium space light attenuation model of any point A (x ', y') in the coordinate system of the illumination plane is established:
Figure BDA0004169712910000021
Figure BDA0004169712910000022
where E is the average illuminance received by the illuminated surface O ' X ' Y ', f (E) is the light propagation attenuation coefficient in the non-uniform medium space, k 1 Mean the average light absorption coefficient, k, in the aforementioned non-uniform medium space 2 Mean the average light scattering coefficient in the aforementioned non-uniform medium space; l is the horizontal distance between the design observation point and the light source, s is the vertical distance between the design observation point and the light source; beta is the included angle between the straight line OA formed by connecting the light source and the point A and the optical axis, and gamma is the included angle between the projection of the straight line OA on the coordinate plane O 'X' Y 'and the Y' axis;
stp2 and heterogeneous medium space internal spectrum model optimization
Through experimental tests, the attenuation degree of light rays with different colors in space is obtained, and a spectrum distribution model of the LED light source is established through a Gaussian function based on an approximation method
Figure BDA0004169712910000023
Where λ is the wavelength of the light wave and σ is the spectral standard deviation; for Gaussian curves, the spectral line half-wavelength λ 0.5 The position of the part
Figure BDA0004169712910000024
Substituted into the above formula to obtain->
Figure BDA0004169712910000025
The calculated LED light source synthetic spectrum is expressed as
Figure BDA0004169712910000026
Consider the light rays in the non-uniform medium spaceAttenuation, substituting to obtain final spectrum curve
Figure BDA0004169712910000027
Where i refers to the labels of the different light waves, Δλ=2 (λ 0.50 ),λ m The peak wavelength, n is the total number of light waves that make up the light source;
substituting parameters of a non-uniform medium region into a final spectrum curve, modifying the wavelength distribution of a light source, optimizing the expression result of the final hyperspectral curve, optimizing by taking the optimal visibility or the color fidelity of an illumination surface as an optimization target, determining the final spectrum distribution form, and taking the final spectrum distribution form as the design optimization result of the wavelength distribution of the LED light source;
stp3 and LED light source matrix parameter optimization
Assuming that the dot spacing Dx and Dy of two array directions of light sources, for the light pattern of any light source, the light pattern is mainly directly influenced by the light sources in eight directions directly adjacent to the periphery of the light source, so that after the eight adjacent light sources are connected by taking the central light source as a midpoint to form a field-shaped light source array, the illuminance parameter mu=E of the central rectangular area with the middle length and width of the field-shaped light source array being Dx and Dy respectively min /E max As an analysis index of the central light source; wherein Emax is the maximum illuminance of the central rectangular channel; wherein Emin is the minimum illuminance of the central rectangular channel; the illumination of any point j of the central rectangular area is the summation of the illumination of each light source at the point, namely
Figure BDA0004169712910000031
Wherein r is the number of the light source, E r,j The illuminance value of the r-th light source at the j point is referred to;
optimizing the illuminance distribution of all the light sources, selecting the optimal combination of the point spacing Dx and Dy, so as to effectively simplify the lens design calculation process, reduce the calculated amount and improve the illuminance uniformity of the design result;
STP4, after determining the combination form of the LED light sources based on the steps, combining the light sources, the area of the illumination surface and the distance, determining the light intensity distribution of the LED light sources through testing after determining the LED light sources, calculating to obtain total luminous flux, distributing luminous flux output through a region division method, and simultaneously mapping the region division result with the illumination surface.
In a further improved or optimized implementation manner of the illumination system optimization design method under a non-uniform medium, the step3 further includes that by utilizing the curve characteristic of the normal distribution function g (x), the center area with the positive-to-point radius of 3 sigma of each light source can receive more illumination, so that the dispersion of the illumination is avoided, meanwhile, the surrounding eight light sources have corresponding properties, and an optimization target model is established:
Figure BDA0004169712910000032
based on the optimization target model, the LED light sources with illuminance distribution conforming to normal distribution are combined, and after the lens form in planning design is determined, the optimal combination of the point spacing Dx and Dy is selected, so that the lens design calculation process is effectively simplified, the calculated amount is reduced, and the illuminance uniformity of the design result is improved.
Further improvement or optimization implementation of the method for optimizing the design of the lighting system under the non-uniform medium, the step stp4 specifically includes: and establishing a rectangular coordinate system by taking the light source as the center, dividing the semicircular sphere with the light source as a new sphere according to a solid angle, mapping the semicircular sphere to an illumination plane, and optimally designing according to the constraint condition that the luminous flux incident to the dividing sheet area is consistent with the luminous flux irradiated to the corresponding area of the illumination plane and the luminous flux is equal to the product of the average illuminance and the illumination area.
The beneficial effects are that:
the optimal design method of the illumination system under the non-uniform medium is mainly used for improving the illumination effect of the illumination system based on the LED matrix light source and lens refraction under specific non-uniform medium space, such as high-humidity low-visibility areas, underwater areas, dust areas and the like, improving the illumination uniformity of the illumination system, improving the visibility of an illumination surface, and compared with the traditional scheme, the method is better in adaptability and higher in efficiency.
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FIG. 1 is a schematic flow chart of an optimized design of an illumination system under a non-uniform medium.
Detailed Description
The present invention will be described in detail with reference to specific examples.
The application relates to an optimization design method of a lighting system under a non-uniform medium, wherein the lighting system comprises a plurality of lighting units, and each lighting unit comprises at least one LED unit module; the structural parameters of the LED unit module are determined based on the following modes:
stp1, and establishing a non-uniform medium space light attenuation relation model
Specifically: taking a light source installation position as an original point O, taking a main direction of a light source as a Z axis, and taking the Z axis as a normal direction to establish an XOY coordinate plane to establish a light source coordinate system OXYZ; determining a planned average illumination distance S; the X O Y coordinate plane is translated for S distance along the Z axis direction, and then an illumination plane coordinate system O ' X ' Y ' Z can be established; then based on the coordinate system, a non-uniform medium space light attenuation model of any point A (x ', y') in the coordinate system of the illumination plane is established:
Figure BDA0004169712910000041
Figure BDA0004169712910000042
where E is the average illumination acceptable for the illuminated surface O ' X ' Y ', f (E) is the light propagation attenuation coefficient in the non-uniform medium space, k 1 Mean the average light absorption coefficient, k, in the aforementioned non-uniform medium space 2 Mean the average light scattering coefficient in the aforementioned non-uniform medium space; l is the horizontal distance between the design observation point and the light source, s is the vertical distance between the design observation point and the light source;
stp2 and heterogeneous medium space internal spectrum model optimization
In the actual implementation process, in order to further improve the illumination effect, the attenuation degree of the light rays with different colors in the space should be obtained through experimental tests in the non-uniform space, and the wavelength distribution of the light source should be controlled according to the test result, so as to reinforce the light waves with high attenuation degree, so that the light rays finally irradiated to the illumination surface have better display effect; for areas with high humidity, the intensity of red and purple light rays should be enhanced preferentially, and the intensity of blue and green light rays should be inhibited; the specific color scheme for the specific case is designed as follows:
based on the characteristic of the spectral distribution of the LED light source, the Gaussian distribution is basically satisfied, so that a spectral distribution model of the LED light source is established through a Gaussian function based on an approximation method
Figure BDA0004169712910000051
Where λ is the wavelength of the light wave and σ is the spectral standard deviation; for Gaussian curves, the spectral line half-wavelength λ 0.5 The position of the part
Figure BDA0004169712910000052
Substituted into the above formula to obtain->
Figure BDA0004169712910000053
The calculated composite spectrum of the LED light source can be expressed as
Figure BDA0004169712910000054
Further, the light attenuation in the non-uniform medium space is considered, and the final spectrum curve is obtained after substitution
Figure BDA0004169712910000055
Where i refers to the labels of the different light waves, Δλ=2 (λ 0.50 ),λ m The peak wavelength, n is the total number of light waves that make up the light source;
substituting parameters of a non-uniform medium region into a final spectrum curve, modifying the wavelength distribution of a light source, optimizing the expression result of the final hyperspectral curve, optimizing by taking the optimal visibility or the color fidelity of an illumination surface as an optimization target, and determining the final spectrum distribution form, wherein the final spectrum distribution form is used as the design optimization result of the wavelength distribution of the LED light source;
stp3 and LED light source matrix parameter optimization
After the foregoing steps, as the illuminance balance on the whole illumination surface cannot be ensured due to the point light source characteristics of the light source generated by the LED, it is generally required to form a light source array by matching with a plurality of LED light sources and perform light path regulation by using a lens, so as to make the light source array project along the design direction and the density, and in order to ensure that the illumination surface can obtain more uniform illuminance after the light projection of the light source array, the structural form of the lens needs to be designed and optimized, specifically:
assuming that the dot spacing Dx and Dy of two array directions of light sources, for the light pattern of any light source, it can be considered that the light pattern is mainly directly influenced by the light sources in eight directions directly adjacent to the periphery of the light source, therefore, after the eight adjacent light sources are connected by taking the central light source as the midpoint to form a field-shaped light source array, the illumination parameter mu=e of the central rectangular area with the middle length and width of the field-shaped light source array being Dx and Dy respectively can be utilized min /E max As an analysis index of the central light source; wherein Emax is the maximum illuminance of the central rectangular channel; wherein Emin is the minimum illuminance of the central rectangular channel;
the illumination of any point j of the central rectangular area is the summation of the illumination of each light source at the point, namely
Figure BDA0004169712910000061
Wherein r is the number of the light source, E r,j The illuminance value of the r-th light source at the j point is referred to;
because a plurality of light sources overlap and exist, even if all light sources have even illuminance characteristic, can't guarantee that all regional illuminance on the illumination surface is even, in carrying out the lens design optimization process that corresponds, in order to simplify the design process, improve efficiency, at first carry out optimal design to the illuminance distribution of all light sources, avoid a plurality of variables to be difficult to control and optimize the big problem of calculated amount, combine empirical analysis, this application makes a plurality of light sources obtain even illuminance distribution effect on the illumination sea through illuminance distribution based on normal distribution, specifically: by utilizing the curve characteristic of a normal distribution function g (x), the central area with the positive-to-point radius of 3 sigma of each light source can receive more illumination, so that the dispersion of the illumination is avoided, and meanwhile, the eight surrounding light sources have corresponding attributes, and an optimization target model is established:
Figure BDA0004169712910000071
based on the optimization target model, the LED light sources with illuminance distribution conforming to normal distribution are combined, and after the lens form in planning design is determined, the optimal combination of the point spacing Dx and Dy is selected, so that the lens design calculation process can be effectively simplified, the calculated amount is reduced, and the illuminance uniformity of the design result is improved;
stp4, after determining the LED light source combination form based on the previous steps, combining the light source, the illumination surface area and the distance, determining the light intensity distribution of the LED light source through testing after determining the LED light source, calculating to obtain the total luminous flux, distributing the luminous flux output through a region division method, and simultaneously mapping the region division result with the illumination surface, wherein specifically:
and establishing a rectangular coordinate system by taking the light source as the center, dividing the semicircular sphere with the light source as a new sphere according to a solid angle, mapping the semicircular sphere to an illumination plane, and optimally designing according to the constraint condition that the luminous flux incident to the dividing sheet area is consistent with the luminous flux irradiated to the corresponding area of the illumination plane and the luminous flux is equal to the product of the average illuminance and the illumination area. In specific implementation, the existing free-form surface design method can be referred to, and the optimization design can be carried out on the surface line type based on a tangent iteration method and other methods.
The method combines the space characteristics of the non-uniform medium, constructs the attenuation element model, analyzes the attenuation element model in combination with the light propagation factors, builds the light transmission model on the basis of fully considering the space light propagation characteristics of the non-uniform medium, and provides a parameter design and optimization scheme for the design of the lighting system in a specific environment.
Finally, it should be noted that the above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the scope of the present invention, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions can be made to the technical solution of the present invention without departing from the spirit and scope of the technical solution of the present invention.

Claims (3)

1. The optimal design method of the illumination system under the non-uniform medium is characterized in that the illumination system comprises a plurality of illumination units, and each illumination unit comprises at least one LED unit module; the structural parameters of the LED unit module are determined based on the following modes:
stp1, and establishing a non-uniform medium space light attenuation relation model
Taking a light source installation position as an original point O, taking a main direction of a light source as a Z axis, and taking the Z axis as a normal direction to establish an XOY coordinate plane to establish a light source coordinate system OXYZ; determining a planned average illumination distance S; translating the XOY coordinate plane along the Z-axis direction by an S distance, and then establishing an illumination plane coordinate system O ' X ' Y ' Z; then based on the coordinate system, a non-uniform medium space light attenuation model of any point A (x ', y') in the coordinate system of the illumination plane is established:
Figure FDA0004169712890000011
Figure FDA0004169712890000012
wherein E refers to the average illuminance received by the illumination plane O 'X' YF (e) is the light propagation attenuation coefficient, k, in the inhomogeneous medium space 1 Mean the average light absorption coefficient, k, in the aforementioned non-uniform medium space 2 Mean the average light scattering coefficient in the aforementioned non-uniform medium space; l is the horizontal distance between the design observation point and the light source, s is the vertical distance between the design observation point and the light source;
stp2 and heterogeneous medium space internal spectrum model optimization
Through experimental tests, the attenuation degree of light rays with different colors in space is obtained, and a spectrum distribution model of the LED light source is established through a Gaussian function based on an approximation method
Figure FDA0004169712890000013
Where λ is the wavelength of the light wave and σ is the spectral standard deviation; for Gaussian curves, the spectral line half-wavelength λ 0.5 The position of the part
Figure FDA0004169712890000014
Substituted into the above formula to obtain->
Figure FDA0004169712890000015
The calculated LED light source synthetic spectrum is expressed as
Figure FDA0004169712890000016
The light attenuation in the non-uniform medium space is considered, and the final spectrum curve is obtained after substitution
Figure FDA0004169712890000017
Where i refers to the labels of the different light waves, Δλ=2 (λ 0.50 ),λ m The peak wavelength, n is the total number of light waves that make up the light source;
substituting parameters of a non-uniform medium region into a final spectrum curve, modifying the wavelength distribution of a light source, optimizing the expression result of the final hyperspectral curve, optimizing by taking the optimal visibility or the color fidelity of an illumination surface as an optimization target, determining the final spectrum distribution form, and taking the final spectrum distribution form as the design optimization result of the wavelength distribution of the LED light source;
stp3 and LED light source matrix parameter optimization
Assuming that the dot spacing Dx and Dy of two array directions of light sources, for the light pattern of any light source, the light pattern is mainly directly influenced by the light sources in eight directions directly adjacent to the periphery of the light source, so that after the eight adjacent light sources are connected by taking the central light source as a midpoint to form a field-shaped light source array, the illuminance parameter mu=E of the central rectangular area with the middle length and width of the field-shaped light source array being Dx and Dy respectively min /E max As an analysis index of the central light source; wherein Emax is the maximum illuminance of the central rectangular channel; wherein Emin is the minimum illuminance of the central rectangular channel; the illumination of any point j of the central rectangular area is the summation of the illumination of each light source at the point, namely
Figure FDA0004169712890000021
Wherein r is the number of the light source, E r,j The illuminance value of the r-th light source at the j point is referred to;
optimizing the illuminance distribution of all the light sources, selecting the optimal combination of the point spacing Dx and Dy, so as to effectively simplify the lens design calculation process, reduce the calculated amount and improve the illuminance uniformity of the design result;
stp4, after determining the LED light source combination form based on the steps, combining the light source, the illumination surface area and the distance, determining the light intensity distribution of the LED light source through testing after determining the LED light source, calculating to obtain total luminous flux, distributing luminous flux output through a region division method, and simultaneously mapping a region division result with the illumination surface.
2. The method of optimizing the design of an illumination system under a non-uniform medium according to claim 1, wherein the step3 further comprises, by using the curve characteristic of a normal distribution function g (x), enabling each light source to be capable of receiving more illumination in a center area with a positive-to-point radius of 3σ, avoiding illumination dispersion, enabling eight surrounding light sources to have corresponding attributes, and establishing an optimization target model:
Figure FDA0004169712890000031
based on the optimization target model, the LED light sources with illuminance distribution conforming to normal distribution are combined, and after the lens form in planning design is determined, the optimal combination of the point spacing Dx and Dy is selected, so that the lens design calculation process is effectively simplified, the calculated amount is reduced, and the illuminance uniformity of the design result is improved.
3. The method for optimizing a lighting system under a non-uniform medium according to claim 1, wherein the step stp4 specifically comprises: and establishing a rectangular coordinate system by taking the light source as the center, dividing the semicircular sphere with the light source as a new sphere according to a solid angle, mapping the semicircular sphere to an illumination plane, and optimally designing according to the constraint condition that the luminous flux incident to the dividing sheet area is consistent with the luminous flux irradiated to the corresponding area of the illumination plane and the luminous flux is equal to the product of the average illuminance and the illumination area.
CN202310374062.8A 2023-04-04 2023-04-04 Optimal design method of illumination system under non-uniform medium Pending CN116400498A (en)

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