Last Updated: September 12, 2008
The total horizontal and diffuse horizontal voltages are measured by the MFRSR instrument. The direct normal voltage is determined within the data logger by subtraction of the diffuse voltage from the total, followed by correction for solar zenith angle. We refer to these voltages as raw voltages.
Nighttime bias corrections are applied only to the diffuse horizontal voltages. This is done by:
- Determining the time of minimum solar elevation for the set of data currently residing in the database table temp_data_poll (amount of data varies, usually 1-3 days)
- Averaging the nighttime bias voltages from 1 hour prior to 1 hour after the time of minimum solar elevation
- Subtracting the average bias from the diffuse voltages, only if the diffuse voltage is greater than 1.
Note: The direct normal component is effectively bias-corrected during the subtraction in the data logger; the total horizontal is re-calculated as explained below and, therefore, needs no bias correction in this step.
Angular corrections (instrument cosine responses) are applied only to the direct normal voltages. The cosine responses are taken from the most recent laboratory determination that was prior to the date of the data being corrected. The instrument cosine responses were determined either by Yankee Environmental Systems, Inc. (YES) or by NOAA's Central UV Calibration Facility (CUCF). Older determinations were typically made by YES while more recent ones are from CUCF.
Diffuse cosine correction factors, determined using the isotropic sky assumption, are applied to the bias-corrected diffuse horizontal voltages:
diffuse_bias_corrected_voltage/diffuse_cosine_factor
Total horizontal voltages are re-calculated by summing the direct horizontal voltage and the diffuse horizontal voltage:
total_horizontal = (cosine_corrected_direct_normal x cos(zenith_angle x pi/180)) + cosine_corrected_diffuse
The voltages, as they are at this point in the procedure, are stored in the database as cosine-corrected voltages.
Note: The cosine-corrected direct normal voltages are later input to the Langley Analyzer for the generation of Langley voltage intercepts for the Langley voltage intercepts time series.
Calibrations are applied to the cosine-corrected direct normal, diffuse horizontal, and total horizontal voltages to convert them to irradiances:
irradiance = cosine_corrected_voltage / calibration factor
Calibration factors can be laboratory-determined (lamp-calibrated) or calculated from Langley analyses. A lamp calibration factor is the product of head and board gains (head_gain x board_gain). The gain values used are linear interpolations of the two determinations that surround the date of the data being corrected. If there is no closing determination, the most recent determination before the date of the data being corrected is used.
Head gains are from lamp calibrations performed either by Yankee Environmental Systems, Inc. (YES) or by NOAA's Central UV Calibration Facility (CUCF). Older determinations were typically made by YES while more recent ones are from CUCF. Board gains are recorded by UVB Program personnel. Langley calibration is discussed in the last section of this document.