Probabilistic distribution of solar irradiation frequency using copulas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In order to provide accurate solar irradiation approximation, and to quantify solar energy; the dependencies between solar irradiation, sunshine hours and ambient temperature must be taken into account. The amount of daily irradiation received for a particular area is among the most important meteorological parameters for numerous application fields. The utilization of accurate distribution minimizes the degree of uncertainty in solar resource estimates. This study applies the copula method for solar radiation estimation. This particular method is useful where probability of marginals fit into various families of distributions. The Archimedean copula and Gaussian copula were applied to evaluate solar irradiation in Johor Bharu, Malaysia. The solar irradiation, sunshine hours and ambient temperature were fit into five marginal probability distributions, namely, Gamma, Lognormal, Burr, Weibull and Normal distributions. The optimal fit marginal probability distribution was assessed by selecting the lowest possible value for Akaike Information Criterion (AIC). Finally, the bivariate copula best fit distribution was combined to obtain at the triavariate joint probability distribution. The results indicate that the best fit of joint probability between solar irradiation, sunshine hours and ambient temperature is Clayton copula.

Original languageEnglish
Title of host publication2018 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium
EditorsNoor Hayati Ahmad Rasol, Kamarulzaman Ibrahim, Siti Aishah Hasbullah, Mohammad Hafizuddin Hj. Jumali, Nazlina Ibrahim, Marlia Mohd Hanafiah, Mohd Talib Latif
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418431
DOIs
Publication statusPublished - 27 Jun 2019
Event2018 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 4 Apr 20186 Apr 2018

Publication series

NameAIP Conference Proceedings
Volume2111
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2018 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period4/4/186/4/18

Fingerprint

irradiation
solar radiation
probability distribution
ambient temperature
Akaike information criterion
temperature
meteorological parameters
Malaysia
distribution
solar energy
normal density functions
resources
uncertainty
resource
estimates
methodology
approximation
method

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Yet, Z. R., Masseran, N., & Mohd Ariff, N. (2019). Probabilistic distribution of solar irradiation frequency using copulas. In N. H. A. Rasol, K. Ibrahim, S. A. Hasbullah, M. H. H. Jumali, N. Ibrahim, M. M. Hanafiah, & M. T. Latif (Eds.), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium [020023] (AIP Conference Proceedings; Vol. 2111). American Institute of Physics Inc.. https://doi.org/10.1063/1.5111230

Probabilistic distribution of solar irradiation frequency using copulas. / Yet, Zaida Rahayu; Masseran, Nurulkamal; Mohd Ariff, Noratiqah.

2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. ed. / Noor Hayati Ahmad Rasol; Kamarulzaman Ibrahim; Siti Aishah Hasbullah; Mohammad Hafizuddin Hj. Jumali; Nazlina Ibrahim; Marlia Mohd Hanafiah; Mohd Talib Latif. American Institute of Physics Inc., 2019. 020023 (AIP Conference Proceedings; Vol. 2111).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yet, ZR, Masseran, N & Mohd Ariff, N 2019, Probabilistic distribution of solar irradiation frequency using copulas. in NHA Rasol, K Ibrahim, SA Hasbullah, MHH Jumali, N Ibrahim, MM Hanafiah & MT Latif (eds), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium., 020023, AIP Conference Proceedings, vol. 2111, American Institute of Physics Inc., 2018 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 4/4/18. https://doi.org/10.1063/1.5111230
Yet ZR, Masseran N, Mohd Ariff N. Probabilistic distribution of solar irradiation frequency using copulas. In Rasol NHA, Ibrahim K, Hasbullah SA, Jumali MHH, Ibrahim N, Hanafiah MM, Latif MT, editors, 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. American Institute of Physics Inc. 2019. 020023. (AIP Conference Proceedings). https://doi.org/10.1063/1.5111230
Yet, Zaida Rahayu ; Masseran, Nurulkamal ; Mohd Ariff, Noratiqah. / Probabilistic distribution of solar irradiation frequency using copulas. 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. editor / Noor Hayati Ahmad Rasol ; Kamarulzaman Ibrahim ; Siti Aishah Hasbullah ; Mohammad Hafizuddin Hj. Jumali ; Nazlina Ibrahim ; Marlia Mohd Hanafiah ; Mohd Talib Latif. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
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