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How does induction save energy

How is it that an 200W induction lighting syetem can replace a 400W metal halide lighting syetem and the performance is even much better.
The reason lies in what's pupil lumen:
How people see and are psychologically impacted by lighting has been a subject of much study and discussion for years. Describing light as "lumen output" and measuring it as "foot candles" on a work plane have been the traditional ways of describing and defining how much light is required to perform a variety of tasks. However, that is being re-examined based on results of studies on visual performance and the psychological impacts of lighting. Additionally, the "color rendering index" (CRI) and correlated color temperature (CCT) describe the quality of the light (relating to how true colors appear compared to under a noon north sky on a clear day). As lighting technology evolves into various types and colors, simply measuring the lumens proves not to be fully adequate in predicting how well people can see In bright light our pupils contract allowing more detail to be perceived, while depth of field and perceived brightness also increase. In low light our eyes dilate to allow more light in. Sam Berman—formerly with the Lighting Systems Research Group at Lawrence Berkeley Laboratory and a major supporter of the importance of the P/S ratio in lighting selection—developed a conversion factor that applies the P/S ratio to lumen output of various light sources, and then expresses the effective lumens the eye will perceive for vision based on the size of the pupil and the effect on vision (see Table 1 below). Some lamps, like low-pressure sodium, lose most of their output using this method, while others like high-quality induction lamps gain substantially.
Light source Conventional lumens per watt Correction factor (P/S ratio) Pupil lumens per watt
Low-pressure sodium(SOX) 165 0.38 63
High-pressure sodium(35W) 55 0.57 31
High-pressure sodium(150W) 100 0.76 76
High-pressure mercury 40 0.86 34
Metal halide(at 2000hrs) 70 1.14 80
Clear metal halide(Na/Sc) 90 1.49 126
Standard incandescent 15 1.26 19
Tungsten halogen 22 1.32 29
5000K YML induction Lamp(200W) 85 1.96 167
6500K YML induction Lamp(200W) 85 2.25 191
Table calculations by Berkley Labs-actual selection of induction lamp wattage and type will vary with installation and user requirement.
How to calculate visual effective lumens:
Note:The dates in green are the Conventional lumens per watt,the dates in red are the (P/S)Ratio
Type Initial Lumens Lumens(2000hrs) Lumens
(5000hrs)
Lumens
(10000hrs)
Lumens
(20000hrs)
Lumens
(100,000hrs)
400MH 400*85*1.49=50660 400*70*1.08=30240 27216 broken 2pcs MH already broken 10pcs MH already broken
200 Induction 200*85*1.96=33320 200*80*1.96=31360 29988 28322 26656 23324

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