Optimization of the Calibration Interval of a Luminous Flux Measurement System in HID and SSL Lamps Using a Gray Model Approximation

Carlos Velasquez, M. A. Castro, F. Rodrı́guez, F. Espín, Nathaly Falconi
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Abstract

Public lighting systems base their efficiency on the correct measurement of the photometric properties of lamps and luminaires. Metrological traceability, given by external calibrations, is essential to guarantee confidence in the test results. Maintaining traceability implies periodically calibrating the measuring equipment. This work presents a proposal for optimizing the calibration intervals of the equipment used in the measurement of total luminous flux according to IES LM 78 and IES LM 51 for HID and IES LM 79 for SSL lamps. The theory of first-order gray models is applied to estimate the time intervals in which the equipment will go out of tolerance. A methodology is presented to use historical calibration certificates in non-symmetric intervals and calculate points of symmetric intervals to represent the equipment behavior. Additionally, an experimental scheme for a whole system is presented, by weighing each piece of equipment and its relevance in the test of HID and SSL lamps. Finally, the methodology is applied in the lighting laboratory of IIGE with its calibration certificates and the results and advantages are discussed.
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利用灰色模型逼近优化HID和SSL灯光通量测量系统的校准间隔
公共照明系统的效率建立在对灯具光度特性的正确测量上。由外部校准提供的计量溯源性对于保证测试结果的可信度至关重要。保持可追溯性意味着定期校准测量设备。本工作提出了一项建议,以优化根据IES LM 78和IES LM 51用于HID和IES LM 79用于SSL灯的总光通量测量中使用的设备的校准间隔。应用一阶灰色模型理论对设备超差时间区间进行估计。提出了一种利用非对称区间的历史校准证书和对称区间的计算点来表示设备行为的方法。此外,通过权衡每个设备及其在HID和SSL灯测试中的相关性,提出了整个系统的实验方案。最后,将该方法应用于IIGE照明实验室,并给出了相应的校准证书,并对其结果和优点进行了讨论。
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