Timing parameter optimization for comparison experiments of TSIM

Hongrui Wang; Huiduan Li; Wei Fang

doi:10.1364/AO.53.001718

Applied Optics
Vol. 53,
Issue 9,
pp. 1718-1726
(2014)
•https://doi.org/10.1364/AO.53.001718

Timing parameter optimization for comparison experiments of TSIM

Hongrui Wang, Huiduan Li, and Wei Fang

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Hongrui Wang, Huiduan Li, and Wei Fang, "Timing parameter optimization for comparison experiments of TSIM," Appl. Opt. 53, 1718-1726 (2014)

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Abstract

The optimization problem of an absolute radiometer’s timing parameters is investigated for comparison experiments of Total Solar Irradiance Monitor (TSIM). Comparison experiments were performed to establish the TSIM’s contact with other space radiometers for measuring total solar irradiance (TSI). Since the comparison experiments had to be performed on a tight schedule under the impact of weather conditions, the measurement parameters for the comparison experiments were selected carefully using optimized solutions of timing parameters. The optimized solutions were identified by a genetic algorithm (GA) based on a thermal model of an absolute radiometer. The thermal model includes terms of heat radiation, air conduction, etc. Fitness value function and constraints of GA are constructed using the thermal model. The experimental results indicate that the selected measurement parameters are sufficient to implement accurate calibration of TSI, providing more opportunities for solar observation.

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Radiometer	Experiment Number	Time Constant $τ$	Constant $c_{1}$	Constant $c_{2}$	Ratio $r (120 s)$
AR1/TSIM	First	14.5325	14,978.07	$- 12,915.07$	0.999127
AR1/TSIM	Second	14.5034	14,976.00	$- 12,897.00$	0.999199
AR1/TSIM	Third	14.5191	14,968.97	$- 12,898.97$	0.999066
AR2/TSIM	First	16.5097	14,529.00	$- 12,548.00$	0.998830
AR2/TSIM	Second	16.4771	14,507.00	$- 12,519.00$	0.998828
AR2/TSIM	Third	16.4950	14,493.96	$- 12,516.96$	0.998761
SIAR-1a	First	12.9634	22,937.83	$- 20,393.83$	0.999920
SIAR-1a	Second	13.0454	22,879.06	$- 20,389.06$	0.999910
SIAR-1a	Third	13.0844	22,869.32	$- 20,375.32$	0.999942
SIAR-2c	First	12.1407	23,980.94	$- 21,586.94$	0.999919
SIAR-2c	Second	12.1923	23,852.37	$- 21,562.37$	0.999900
SIAR-2c	Third	12.2025	23,809.82	$- 21,530.82$	0.999881

Parameter	SIAR-1a	SIAR-2c	AR1/TSIM	AR2/TSIM
$A$ ( $m^{- 2}$ )	$5.0027 \times 10^{- 5}$	$5.0987 \times 10^{- 5}$	$5.0290 \times 10^{- 5}$	$5.0300 \times 10^{- 5}$
$R_{h}$ ( $Ω$ )	847.002	843.640	866.700	855.900
$α$	0.9997	0.9997	0.9997	0.9997
$u_{r}$ (V)	7.755	7.695	7.786	7.738
$u (u_{r})$ (V)	$3.463 \times 10^{- 4}$	$2.949 \times 10^{- 4}$	$3.509 \times 10^{- 4}$	$6.142 \times 10^{- 4}$
$u_{o}$ (V)	5.156	5.007	5.119	5.069
$u (u_{o})$ (V)	$5.075 \times 10^{- 4}$	$4.537 \times 10^{- 4}$	$5.313 \times 10^{- 4}$	$9.332 \times 10^{- 4}$
$E$ ( ${Wm}^{- 2}$ )	791.936	793.929	790.070	793.970
Relative uncertainty of $E$ (ppm)	224	188	224	392
$u (E)$ ( ${Wm}^{- 2}$ )	0.177	0.149	0.177	0.312

Radiometer	Experiment Number	Time Constant $τ$	Constant $c_{1}$	Constant $c_{2}$	Ratio $r (120 s)$
AR1/TSIM	First	14.5325	14,978.07	$- 12,915.07$	0.999127
AR1/TSIM	Second	14.5034	14,976.00	$- 12,897.00$	0.999199
AR1/TSIM	Third	14.5191	14,968.97	$- 12,898.97$	0.999066
AR2/TSIM	First	16.5097	14,529.00	$- 12,548.00$	0.998830
AR2/TSIM	Second	16.4771	14,507.00	$- 12,519.00$	0.998828
AR2/TSIM	Third	16.4950	14,493.96	$- 12,516.96$	0.998761
SIAR-1a	First	12.9634	22,937.83	$- 20,393.83$	0.999920
SIAR-1a	Second	13.0454	22,879.06	$- 20,389.06$	0.999910
SIAR-1a	Third	13.0844	22,869.32	$- 20,375.32$	0.999942
SIAR-2c	First	12.1407	23,980.94	$- 21,586.94$	0.999919
SIAR-2c	Second	12.1923	23,852.37	$- 21,562.37$	0.999900
SIAR-2c	Third	12.2025	23,809.82	$- 21,530.82$	0.999881

Parameter	SIAR-1a	SIAR-2c	AR1/TSIM	AR2/TSIM
$A$ ( $m^{- 2}$ )	$5.0027 \times 10^{- 5}$	$5.0987 \times 10^{- 5}$	$5.0290 \times 10^{- 5}$	$5.0300 \times 10^{- 5}$
$R_{h}$ ( $Ω$ )	847.002	843.640	866.700	855.900
$α$	0.9997	0.9997	0.9997	0.9997
$u_{r}$ (V)	7.755	7.695	7.786	7.738
$u (u_{r})$ (V)	$3.463 \times 10^{- 4}$	$2.949 \times 10^{- 4}$	$3.509 \times 10^{- 4}$	$6.142 \times 10^{- 4}$
$u_{o}$ (V)	5.156	5.007	5.119	5.069
$u (u_{o})$ (V)	$5.075 \times 10^{- 4}$	$4.537 \times 10^{- 4}$	$5.313 \times 10^{- 4}$	$9.332 \times 10^{- 4}$
$E$ ( ${Wm}^{- 2}$ )	791.936	793.929	790.070	793.970
Relative uncertainty of $E$ (ppm)	224	188	224	392
$u (E)$ ( ${Wm}^{- 2}$ )	0.177	0.149	0.177	0.312

Abstract

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Equations (20)

Applied Optics