Calculation method of illuminance value of spatially heterogeneous light source based on three-axis rotation
A technology of three-axis rotation and calculation method, which is applied in the direction of photometry, complex mathematical operations, optical radiation measurement, etc., can solve the problem of restricting equipment and process progress, restricting fine analysis of road illumination effects, and not being able to calculate road lighting well status and other issues, to achieve the effect of low program implementation cost, reduced computing power consumption and storage space, and reliable and transparent algorithms
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[0036] The present invention takes LED street lamps as an example.
[0037] According to the common rules of LED street lamp installation, define the spatial coordinate system as figure 2 shown.
[0038] Such as image 3 As shown, the rotation of the lamp along the x-axis is defined as δ, the rotation along the y-axis is defined as ψ, and the rotation along the z-axis is defined as ν. In the (x, y, z) coordinate system, point O is the light source, and a point P on the road (x,
[0039] y, -z), when point O is rotated (δ, ψ, ν), the new coordinates of point P are (x', y', -z').
[0040]
[0041] In the above formula, according to the principle of trigonometric functions, the value of * is 0, which can be pushed to the following coordinate conversion formula:
[0042]
[0043] After calculation, the following formula can be obtained:
[0044] x'=x(cosνcosψ-sinνsinδsinψ)+y(sinνcosψ+cosνsinδsinψ)-z(cosδsinψ)
[0045] y'=-xsinνcosδ+ycosνcosδ+zsinδ
[0046] z'=x(cosνs...
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