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- Details

Optical calculations are carried out for problems where desired luminous intensity distribution of lighting devices must be provided. This is the illumination of rooms (for example, warehouses) with luminaires suspended at a great height for concentrated luminous intensity distribution (Fig. 1). The calculation is carried out for rotational symmetry.

CREE MC-E high-luminance light-emitting diode is chosen as a light source (Fig. 2)

The LED light source luminous efficacy is more than 80 lm/W and luminous flux is 430 lm. The LED luminous intensity distribution is cosine (Fig. 3).

Input Parameter | Value |

Type of light source | Point |

Type of light distribution | I(α) – see Fig. 3 |

Type of the curve interpolation | Linear |

The required level of average illuminance E_{av} for shelving storage warehouses is 200 lux. The ratio of E_{max}/E_{min }should be not more than 1.5.

To calculate the reflector shape (synthesis problem), the luminous intensity distribution curve recommended for illumination problem of this type (Fig. 4).

Input Parameter | Value |

Direct light flux from the source | On |

Type of light distribution | Luminous intensity distribution curve |

Luminous intensity distribution | I(α) – see Fig.4 |

Boundary angular coordinates | 0,30° |

Reflector

For more effective luminous flux conversion, reflector for each LED was calculated. Thus, the initial data for reflector calculations are specified by the LEDs location and number (Fig. 4).

Input Parameter | Value |

Reflectance | 0.8 |

Start angle | 40° |

Final angle | 90° |

Initial radius | 50 mm |

Number of calculation points | 100 |

As a result of the calculations, the full accordance with the illuminance requirements is obtained. Fig. 5 represents the calculated reflector shape and the ray-tracing.

This example shows how to design the reflector shape of specified dimensions on the basis of the required luminous intensity distribution of the lighting device. Calculated reflector shape provides high light output ratio of the lighting device (80%).

Fig. 6 and 7 represent the results of the lighting design of warehouse lighting project using DIALux 4.10. Luminaires are represented as yellow contour lines. The isolux curves are represented at the working plane (floor) level (Fig. 8).

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