Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

MATHEMATICAL MODEL TO DETERMINE THE COLORIMETRIC CHARACTERISTICS OF LED SYSTEMS MULTICOMPONENT

Boriskina A.A. 1 Afonin V.V. 1 Kovalenko O.U. 1
1 Ogarev Mordovia State University
Currently, much attention is paid to the resource and energy conservation. In particular, the problem of increasing energy conservation and energy efficiency in lighting is achieved by implementation of LED lighting products. This paper highlights the development of a mathematical model to software calculate the number of LEDs needed to create a lighting system based on LEDs of different color, in order to obtain the spectrum with a maximum deviation calculated chromaticity coordinates of the given values. The calculations required in the software implementation of the algorithms , based on an experimentally derived data base parameters of LEDs. The program and the user application based on it were created in the workbench MATLAB R2012b. Preliminary analysis indicates that when determining the number of LEDs to obtain the desired color , provided the relative error calculation order of 0,5-1,5 % is possible to design the lighting device (systems ) with high -fidelity color temperature. It is also possible solutions and the error is less than 0.5 %. The advantage of the model is that it can be offered a variety of different modes of LED lighting systems, provided the color adjustment system for a variety of interiors, for a specific time of day and seasons of the year, made adjustments to the cor - color LEDs for degradation due to aging. The conceptual, logical, mathematical model to calculate the spectra of the target pixel color and color temperature.