The Use of the BSRN Data as A Benchmark for the POWER Hourly DHI and DNI and In Validating Derived Hourly GTI (2025)

The satellite-based CERES SYN1deg hourly data is the source data of the POWER GIS solar data that covers 2001 to near present. The SYN1deg(Ed4.1) hourly GHI agrees well with the BSRN data, but the hourly DHI and DirHI (Direct Horizontal Irradiance) are positively and negatively, respectively, biased with appreciable magnitudes. The hourly DNI, derived by dividing the DirHI by cos(SZA), or the cosine of the solar zenith angle, is therefore negatively biased. Based on the statistics of comparisons with the BSRN data, we performed bias corrections on the hourly DHI and DNI. The corrections were executed in the 3-D phase space of latitude, cos(SZA), and cloud fraction (CLFR). The isotropic model is then used to derive the hourly global tilted irradiance (GTI). For validation purpose, we applied the isotropic model to the BSRN data at the original 1-, 2-, 3- or 5-minute interval. The satellite-based hourly GTI shows good agreement with their BSRN counterpart. We also examined two monthly-mean-based methods that empirically derive monthly mean GTI and DNI from monthly mean GHI and from both monthly mean GHI and DHI. The monthly-mean-based results compare favorably with the hourly-mean-based results.
The GEWEX SRB (V4-IP) provides POWER with daily mean GHI for the years before the CERES era, and the data were corrected using quantile mapping by referencing the CERES SYN1deg data. We used the Kolmogorov -Smirnov test (K-S test) and Cramer-von Mises test to examine how well the results agree with the BSRN data. We found that if we set the lower limit for the daily mean GHI to 30 W m-2, the data can pass the K-S test at 0.01 significance level and the Cramer-von Mises test at 0.001 significance level. If no lower limit is set on the daily means, the data fail both tests.

The satellite-based CERES SYN1deg hourly data is the source data of the POWER GIS solar data that covers 2001 to near present. The SYN1deg(Ed4.1) hourly GHI agrees well with the BSRN data, but the hourly DHI and DirHI (Direct Horizontal Irradiance) are positively and negatively, respectively, biased with appreciable magnitudes. The hourly DNI, derived by dividing the DirHI by cos(SZA), or the cosine of the solar zenith angle, is therefore negatively biased. Based on the statistics of comparisons with the BSRN data, we performed bias corrections on the hourly DHI and DNI. The corrections were executed in the 3-D phase space of latitude, cos(SZA), and cloud fraction (CLFR). The isotropic model is then used to derive the hourly global tilted irradiance (GTI). For validation purpose, we applied the isotropic model to the BSRN data at the original 1-, 2-, 3- or 5-minute interval. The satellite-based hourly GTI shows good agreement with their BSRN counterpart. We also examined two monthly-mean-based methods that empirically derive monthly mean GTI and DNI from monthly mean GHI and from both monthly mean GHI and DHI. The monthly-mean-based results compare favorably with the hourly-mean-based results.
The GEWEX SRB (V4-IP) provides POWER with daily mean GHI for the years before the CERES era, and the data were corrected using quantile mapping by referencing the CERES SYN1deg data. We used the Kolmogorov -Smirnov test (K-S test) and Cramer-von Mises test to examine how well the results agree with the BSRN data. We found that if we set the lower limit for the daily mean GHI to 30 W m-2, the data can pass the K-S test at 0.01 significance level and the Cramer-von Mises test at 0.001 significance level. If no lower limit is set on the daily means, the data fail both tests.

Document ID

20240006878

Acquisition Source

Langley Research Center

Document Type

Presentation

Authors

Taiping Zhang

(Analytical Mechanics Associates (United States) Hampton, Virginia, United States)

Paul W Stackhouse, Jr.

(Langley Research Center Hampton, United States)

Falguni Patadia, Jr

(Universities Space Research Association Columbia, United States)

Bradley Macpherson

(Booz Allen Hamilton (United States) Tysons Corner, United States)

J. Colleen Mikovitz

(Analytical Mechanics Associates (United States) Hampton, Virginia, United States)

Subject Category

Spacecraft Design, Testing and Performance

Meeting Information

Meeting: 18th BSRN Scientific Review and Workshop in Tokyo

Location: Tokyo

Country: JP

Start Date: July 1, 2024

End Date: July 5, 2024

Sponsors: Baseline Service Radiation Network

Funding Number(s)

WBS: C3.13.00173.001

Distribution Limits

Public

Copyright

Portions of document may include copyright protected material.

The Use of the BSRN Data as A Benchmark for the POWER Hourly DHI and DNI and In Validating Derived Hourly GTI (2025)

FAQs

How do you calculate GHI from DNI and DHI? ›

DHI: Diffuse Horizontal Irradiation

Redundancy calculations of GHI → GHI = DHI + DNI · cos(θ)

What is data center energy efficiency benchmarking? ›

Power Usage Effectiveness (PUE) is a calculation used to measure data centre energy efficiency. Introduced in 2007 and endorsed by The Green Grid, PUE has become a global standard for data centre energy management.

What is the difference between DHI and DNI? ›

DHI is measured by a pyranometer shaded from the direct sun beam and DNI is measured by a pyrheliometer with a narrow view that only measures the beam directly from the sun. To measure DNI a high accuracy automatic sun tracker is required.

How do you calculate DNI? ›

The formula to calculate the figure is as follows: Distributable Net Income (DNI) = Taxable Income - Capital Gains + Tax Exemption.

How is Ghi measured? ›

Global Horizontal Irradiance (GHI) is the amount of terrestrial irradiance falling on a surface horizontal to the surface of the earth. GHI can be measured with a variety of instruments. The most common instrument used to measure GHI is called a pyranometer which has a hemispherical (180°) view angle.

How do you calculate relative growth index? ›

The relative growth rate (RGR) represents the rate of increase in dry weight per unit of plant dry weight (DW) and it was calculated according to the following equation: RGR d − 1 = ln DW 2 − ln DW 1 / t 2 − t 1 .

How do you calculate the population growth index? ›

What is the formula for population growth rate? A general formula for calculating the population growth rate is Gr = N / t. Gr is the growth rate measured in individuals, N is the change in population, and t is the period of time.

Is Ghi greater than DNI? ›

Yes, DNI can be more than GHI. This can be under when the below 2 conditions are satisfied. 1. clear sky condition (high clearness index) and when most of the radiation is direct and diffuse part is very less.

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