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Estimating Global Solar Radiation Using Sunshine Hours

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Estimating Global Solar Radiation Using Sunshine Hours Rev. Energ. Ren. : Physique Energétique (1998) 7 - 11 Estimating Global Solar Radiation Using Sunshine Hours 1 M. Chegaar, A. Lamri and A. Chibani Physics Institut, Ferhat Abbas University, Setif 1 Physics Institut, University of Annaba, Annaba Abstract - In the present paper, we describe how an empirical model, originally formulated by Sivkov to compute the monthly global irradiation, has been modified to make it fit some Algerian and Spanish sites. Appropriate parameters have been introduced. The monthly average daily values of global irradiation incident on a horizontal surface at some Algerian and Spanish meteorological stations are computed by this method using sunshine hours and minimum air-mass. The obtained values, for Algeria, are then compared to those calculated by M. Capderou. Measurements of global solar irradiation on horizontal surface at some Spanish meteorological stations, published by J Canada, are compared to predictions made by this model. The agreement between the measured and computed values and those estimated by this model is remarkable. Résumé - Dans le présent article, nous décrivons comment un modèle empirique originairement formulé par Sivkov, pour calculer l’irradiation globale mensuelle, a été modifié pour être appliquer à quelques sites algériens et espagnols. Des paramètres appropriés ont été introduit. Les valeurs de l’irradiation globale moyenne mensuelle journalière, incidente sur une surface horizontale sur quelques stations météorologiques algériennes et espagnoles, ont été calculées par cette méthode en utilisant la durée d’ensoleillement et l’air- mass minimum. Les valeurs obtenues sont ensuite comparées à celles calculées par M. Capderou pour le cas de l’Algérie. Les valeurs mesurées de l’irradiation solaire globale, incidente sur une surface horizontale, par quelques stations météorologiques espagnoles et publiées par J. Canada, ont été comparées aux prédictions obtenues par ce modèle. L’accord entre les valeurs mesurées, calculées et celles obtenues par ce modèle est remarquable. Keywords: Solar radiation - Global radiation - Algeria - Spain - Sunshine duration - Horizontal surface - Monthly average – Measured values. 1. INTRODUCTION The development of many solar energy devices and for estimates of their performances require an accurate knowledge of solar radiation distribution at a particular geographical location. Unfortunately, solar radiation measurements are not easily available for many developing countries for not being able to afford the measurement equipment and techniques involved. Therefore, it is rather important to elaborate methods to estimate the solar radiation on the basis of more readily meteorological data. Several empirical formulae have been developed to calculate the solar radiation using various parameters. Some works used the sunshine duration [1-8] others used the sunshine duration, relative humidity and temperature [9, 10], while others used the number of rainy days, sunshine hours and a factor that depends on latitude and altitude [11]. Algeria is a high insolation country, The number of sunshine hours amounts almost 3300h./year. The weather is most favourable for the utilisation of solar energy, but the distribution of the solar radiation is not well known. The importance of this work lies on the fundamental need of knowledge of the global solar radiation data in the country. In the present work, an empirical method originally formulated by Sivkov [1] has been modified to make it fit some Algerian and Spanish meteorological stations. The model only requires the duration of sunshine and minimum air-mass. Sivkov has proposed the following relation : 1.31 2.1 G m = 4.9 ( s m ) + 10500 ( sin h n ) (1) 2 Where Gm is the monthly global radiation (cal.cm- ), Sm is the monthly average daily number of bright th sunshine (hours), and hn is the noon height of the sun on the 15 of the month. 2. CALCULATION PROCEDURE In the present work, data of monthly mean of daily global solar radiation and sunshine duration from four Algerian meteorological stations (Algiers, Oran, Béchar and Tamanrasset) and five Spanish stations (Alicante, Castellon, Cofrentes, Murcia and Valencia) are used. The geographical location of stations and the sources of data are presented in Table 1. Measurements of global solar radiation were performed with Robitzsh and Kipp & Zonen pyranometers. For the recording of sunshine duration there are used Campbell-Stokes heliographs. 7 8 M. Chegaar et al. Table 1: Geographical location of stations and sources of data Latitude Altitude Longitude Duration of records Source of Country Station (deg)(N) (m) (degree) sunshine radiation data Algiers 36.43 25 3.15 E 25 10 [4] Oran 35.38 99 0.37 W 25 10 [4] Algeria Béchar 31.38 806 2.15 W 25 10 [4] Tam. 22.47 1378 5.31 E 25 10 [4] Alicante 38.36 81 0.5 W 22 6 [1] Castellon 39.95 27 0.68 W 30 5 [1] Spain Cofrentes 39.20 387 1.05 W 9 9 [1] Murcia 37.98 72 1.11 W 16 8 [1] Valencia 39.46 15 0.36 W 23 11 [1] The monthly average of daily global irradiation on a horizontal surface is obtained by changing sm to the daily value s and dividing the constant by 30 days of the month and introducing an appropriate parameter (K). The modified formula is : −2 1.11 10500 2.08 G= 4.18 10 K ( s ) + ( sin h ) (2) 30 Where G is the computed daily global irradiation (MJ.m-2.day-1), s is the monthly average daily bright sunshine hours (hours) and h is the noon solar altitude on file 15th of the month (degrees). K is a zone parameter that depends on the climate. The values obtained using eq. (1), for the Algerian meteorological stations, are then compared with calculations made by Capderou [4]. He used the regression equation of Angstrom’s type : H s = a + b (3) H 0 s0 -2 -1 Where H is the monthly average daily global irradiation on a horizontal surface (MJ.m .day ), H0 is the monthly average daily extraterrestrial irradiation on a horizontal surface ( MJ.m-2.d-1), s is the monthly average daily number of hours of bright sunshine, s0 is the monthly average daily maximum number of hours f possible sunshine and a and b are regression constants. Capderou found : a = 0.41 and b = 0.58. For the Spanish stations the monthly average daily global irradiation values obtained using the proposed formula are compared to those estimated by Canada [1]. He proposed the following formula : K ( s )1.24 ( h π /180 ) −0.19 + 10550 / 30 ( sin h ) 2.1 + 10 ( sin h )3 H = (4) e 24 -2 -1 Where He is the daily global irradiation (MJ.m .day ). The used zone parameter is K = 14. 3. RESULTS AND DISCUSSION The Algerian meteorological stations are divided into three zones according to the characteristics of their climate, Mediterranean climate for Algiers and Oran, Sahara climate for Béchar and Tamanrasset which is influenced by the African tropical climate. Fig. 1: Monthly average of daily global Fig. 2: Monthly average of daily global in irradiance in Algiers irradiance in Oran The monthly average daily global irradiation values are calculated using eq. (2). Appropriate zone parameters have been determined, K = 19.4 (Algiers and Oran), K = 21.3 (Béchar) and K = 23.3 (Tamanrasset). The results are presented in Table 2. SIPE : Estimating Global Solar Radiation… 9 Where a comparison with measurements and with calculation made by Capderou is also given. The variation of the daily global irradiation measured and computed are represented in Figs (1-4). The best estimates of global irradiation were calculated for Béchar and Tamanrasset. The maximum errors are -10.65 per cent for Algiers, 10.64 per cent for Oran, 5.94 per cent for Béchar and 8.12 per cent for Tamanrasset, whether the maximum errors using Capderou model are respectively -11.04 %, 10.45 %, 13.42 % and -13.56 %. The peak solar insolation occurs in the cases of Algiers, Oran and Béchar in June, July and for Tamanrasset in May, July. The solar radiation fluctuates from 25.38 MJ.m-2.day-1 to 28.26 MJ.m-2.day-1 for all the stations. Table 2 Comparison between G1 and Gm, and Gm and G2 for Algerian stations Station Var. Jan. Feb. Mar. Apr. May June July Aug. Sep. Oct. Nov. Dec. S 4.70 5.98 7.08 7.91 9.91 10.27 11.12 10.73 9.11 6.91 5.15 4.68 H 32.02 40.32 50.82 62.76 71.96 76.56 74.95 67.60 56.63 45.06 35.00 30.06 G1 8.43 11.82 15.73 19.51 23.52 24.57 25.36 23.72 19.48 14.06 9.60 7.97 Algiers Gm 7.88 10.69 14.87 17.68 21.64 22.21 25.38 22.90 18.43 12.71 9.79 7.42 G2 7.91 11.69 15.95 19.63 23.75 24.47 24.97 23.01 18.51 12.99 8.68 7.09 E1 -6.91 -10.5 -7.83 -10.7 -8.69 -10.6 0.08 -3.62 -5.67 10.65 1.91 -7.47 E2 -0.27 -9.29 -7.26 -11.0 -9.78 -10.1 1.62 -0.50 -0.43 -2.21 11.32 4.37 S 5.24 5.68 7.55 8.14 9.57 9.91 11.33 10.56 8.85 7.37 5.39 5.11 H 33.10 41.40 51.90 63.84 73.04 77.64 76.03 68.68 57.71 46.14 36.08 31.14 G1 9.26 11.77 16.54 20.00 23.29 24.28 25.74 23.72 19.44 14.86 10.12 8.67 Oran Gm 9.36 12.53 18.50 20.28 23.08 27.00 26.60 24.16 20.56 14.00 9.94 8.03 G2 8.75 11.75 16.91 21.24 23.55 24.18 25.52 23.12 18.58 13.90 9.25 7.82 E1 1.11 6.08 10.64 5.85 -0.91 10.09 3.23 1.80 5.44 -6.08 -1.89 -7.99 E2 6.54 6.21 8.60 4.54 -2.06 10.45 4.06 4.29 9.63 0.77 6.88 2.60 S 7.91 8.72 9.94 10.75 11.16 11.64 11.63 10.93 10.05 9.03 8.04 7.58 H 37.10 45.40 55.90 67.83 77.04 81.64 80.03 72.68 61.71 50.14 40.08 35.14 G1 14.00 17.07 21.28 24.90 26.82 27.88 27.74 25.94 22.76 18.68 14.86 13.07 Béchar Gm 14.47 17.14 22.00 24.59 26.03 28.26 26.78 24.52 22.07 18.47 14.58 13.90 G2 13.38 17.39 22.29 24.25 27.77 28.45 27.88 25.62 22.41 18.06 13.93 12.03 E1 3.23 0.385 3.28 -1.27 -3.05 1.33 -3.56 -5.82 -3.15 -1.16 -1.90 5.94 E2 7.56 -1.47 -1.34 1.38 -6.53 -0.69 -4.09 -4.49 -1.57 2.18 4.44 13.42 S 8.40 9.12 9.98 9.66 9.95 9.23 9.94 9.85 8.89 8.87 8.86 8.40 H 45.95 54.25 64.75 76.68 85.89 89.51 88.88 81.53 70.56 58.99 48.93 43.99 G1 17.70 20.80 24.39 25.90 27.03 26.11 27.09 26.64 23.96 21.60 19.10 17.19 Tam.
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