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New Approach to Pyranometer Calibration
by M. K. Gupta Director India Meteorological Department
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Methods of Pyranometer Calibration
With reference to a standard pyrheliometer (Shading-unshading method) With reference to a standard pyrheliometer and reference diffuse pyranometer With reference to a secondary standard pyranometer
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Pyranometer Calibration With reference to a standard pyrheliometer.
Princlple: G = D + S sinθ Method: Alternately shading and unshading the pyranometer to measure outputs proportional to global(G) and diffuse(D) radiation, and simultaneousely measuring direct(S) using a standard pyrheliometer, we have vg/k –vd/k = S. sinθ
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Sources of errors The output during shaded condition is not an actual value rather it is the mean of two consecutive measurements of pyranometer outputs in shaded position The pyranometer is never operated under steady state condition
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New Method of Pyranometer Calibration
Two pyranometers under calibration are mounted horizontally, side-by-side, one for measurement of global irradiance and the other for measurement of diffuse irradiance. Both the measurements are made as frequently as possible, say every five minutes, from sunrise to sunset. Contd…
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Contd… The next day, pyranometer-functions are inter-changed and similar measurements are made at the same timings. The direct irradiance is also measured simultaneously using a standard pyrheliometer. Thus, global, diffuse and direct irradiance measurements are made simultaneously.
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Principle: For any instant on first day, the relation among global, diffuse and direct irradiance yields- v1g/k1 –v2d/k2= S1. sinθ1 … (1) Similarly, for any instant on second day, we have- v2g/k2 –v1d/k1= S2. sinθ2 … (2)
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TABLE-I Calibration using shading-unshading method
Date of calibration Pyranometer No. Calibration constant obtained No. of sets Mean value Dispersion (/k) 14-Jan-2005 CM11-77 63 4.78 0.027 15-Jan-2005 81 4.76 0.018 17-Jan-2005 83 4.83 0.012 21-Jan-2005 2299 76 11.32 0.011 22-Jan-2005 39 11.38 0.024 24-Jan-2005 79 11.41 0.016 4-Feb-2005 1154 69 10.66 0.021 5-Feb-2005 77 10.57 0.014 7-Feb-2005 85 10.64 0.022
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Table II Calibration using new technique of calibration
Date of calibration Pyranometer No Calibration constant obtained No. of sets Mean value Dispersion (/k) 21st and 22nd Jan 2005 1154 46 10.66 0.009 CM11-77 4.74 0.012 21st and 24th Jan 2005 83 10.69 0.015 4th and 5th Feb 2005 1039 90 12.04 0.005 2299 11.44 0.008 5th and 7th Feb 2005 12.00
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TABLE-III Comparision of results
Pyranometer No New method Shade-Unshade Mean value Dispersion (/k) Dispersion (/k) CM11-77 4.74 0.012 4.78 0.027 0.009 4.76 0.018 - 4.83 2299 11.44 0.008 11.32 0.011 0/008 11.38 0.024 11.41 0.016 1154 10.66 0.021 10.69 0.015 10.57 0.014 10.64 0.022
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Pyranometer No. CM11-76 Shading-Unshading New Method
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Pyranometer No. 2299 4th and 5th Feb 2005 5th and 7th Feb 2005
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Advantage of new method
This is free from errors which the shading-unshading method suffers. The results have better repeatability. On the basis of theoretical and practical considerations, this provides another fundamental method for pyranometer calibration. This probably better method for simultaneous calibration of two pyranometers with reference to primary standard pyrheliometers. Angular dependence of the pyranometer response can also be studied in details.
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Over and all Thank You
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