Developing and Testing of Hargreaves Model Solar Radiation Estimation Equation Suitable for the Mediterranean-Southeastern Anatolian Transitional Zone Conditions

Selçuk Usta; Serpil Gençoğlan; Cafer Gençoğlan

Makale detayları

Developing and Testing of Hargreaves Model Solar Radiation Estimation Equation Suitable for the Mediterranean-Southeastern Anatolian Transitional Zone Conditions

Yazarlar:

Selçuk Usta | Serpil Gençoğlan | Cafer Gençoğlan

Yayıncı:

Igdir University

Ana Başlıklar:

Mühendislik

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.13 Issue 1, pp.375-384

Belge Tipi:

Makale

Yayın Tarihi:

1/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001284040

pISSN:

2536-4618

Anahtar kelimeler:

Özet:

 In this study, it is aimed to calibrate and test the Hargreaves model solar radiation Rs estimation equation in accordance with the Mediterranean  Southeastern Anatolian transitional zone conditions. The calibration equation was created by using the long-term average 1938  2020 daily values of the maximum, minimum, average air temperature Tmax, Tmin, T, Rs and extraterrestrial radiation Ra data of Kahramanmaraş province. The Ra values were estimated depending on the geographical location and the time. Calibration coefficients a, b were determined as 0.0984 and 0.3695, respectively, using the Microsoft Excel program solver add-on. Long-term average daily Rs values varied between 4.99  32.56 MJm2 day, and the Rs values estimated by the calibration equation varied between 7.33  33.25 MJm2 day. The rate of explaining the change in the measured values with the estimated values was determined as 97.34 R2 0.9734. The mean absolute percentage error MAPE and root mean square error RMSE, taken into account as an expression of the deviation between the measured and estimated Rs values, were determined as 8.71 and 1.54 MJm2 day, respectively. The calibration equation was tested with the daily average Tmax, Tmin, T and Rs data measured at Kahramanmaraş Sütçü İmam University KSU in 2021. Temperature and radiation sensors operated by a Programmable Logic Controller PLC were used to measure these data. Measured and estimated Rs values varied between 10.40  29.13 MJm2 day and 13.80  31.16 MJm2 day, respectively. The rate of explaining the change in the measured values with the estimated values was determined as 86.71 R2 0.8671. MAPE and RMSE were obtained as 10.57 and 2.57 MJm2 day, respectively. It has been concluded that using the Hargreaves model calibration equation suitable to the local conditions, solar radiation estimations with high accuracy can be made.

 In this study, it is aimed to calibrate and test the Hargreaves model solar radiation Rs estimation equation in accordance with the Mediterranean  Southeastern Anatolian transitional zone conditions. The calibration equation was created by using the long-term average 1938  2020 daily values of the maximum, minimum, average air temperature Tmax, Tmin, T, Rs and extraterrestrial radiation Ra data of Kahramanmaraş province. The Ra values were estimated depending on the geographical location and the time. Calibration coefficients a, b were determined as 0.0984 and 0.3695, respectively, using the Microsoft Excel program solver add-on. Long-term average daily Rs values varied between 4.99  32.56 MJm2 day, and the Rs values estimated by the calibration equation varied between 7.33  33.25 MJm2 day. The rate of explaining the change in the measured values with the estimated values was determined as 97.34 R2 0.9734. The mean absolute percentage error MAPE and root mean square error RMSE, taken into account as an expression of the deviation between the measured and estimated Rs values, were determined as 8.71 and 1.54 MJm2 day, respectively. The calibration equation was tested with the daily average Tmax, Tmin, T and Rs data measured at Kahramanmaraş Sütçü İmam University KSU in 2021. Temperature and radiation sensors operated by a Programmable Logic Controller PLC were used to measure these data. Measured and estimated Rs values varied between 10.40  29.13 MJm2 day and 13.80  31.16 MJm2 day, respectively. The rate of explaining the change in the measured values with the estimated values was determined as 86.71 R2 0.8671. MAPE and RMSE were obtained as 10.57 and 2.57 MJm2 day, respectively. It has been concluded that using the Hargreaves model calibration equation suitable to the local conditions, solar radiation estimations with high accuracy can be made.

 In this study, it is aimed to calibrate and test the Hargreaves model solar radiation Rs estimation equation in accordance with the Mediterranean  Southeastern Anatolian transitional zone conditions. The calibration equation was created by using the long-term average 1938  2020 daily values of the maximum, minimum, average air temperature Tmax, Tmin, T, Rs and extraterrestrial radiation Ra data of Kahramanmaraş province. The Ra values were estimated depending on the geographical location and the time. Calibration coefficients a, b were determined as 0.0984 and 0.3695, respectively, using the Microsoft Excel program solver add-on. Long-term average daily Rs values varied between 4.99  32.56 MJm2 day, and the Rs values estimated by the calibration equation varied between 7.33  33.25 MJm2 day. The rate of explaining the change in the measured values with the estimated values was determined as 97.34 R2 0.9734. The mean absolute percentage error MAPE and root mean square error RMSE, taken into account as an expression of the deviation between the measured and estimated Rs values, were determined as 8.71 and 1.54 MJm2 day, respectively. The calibration equation was tested with the daily average Tmax, Tmin, T and Rs data measured at Kahramanmaraş Sütçü İmam University KSU in 2021. Temperature and radiation sensors operated by a Programmable Logic Controller PLC were used to measure these data. Measured and estimated Rs values varied between 10.40  29.13 MJm2 day and 13.80  31.16 MJm2 day, respectively. The rate of explaining the change in the measured values with the estimated values was determined as 86.71 R2 0.8671. MAPE and RMSE were obtained as 10.57 and 2.57 MJm2 day, respectively. It has been concluded that using the Hargreaves model calibration equation suitable to the local conditions, solar radiation estimations with high accuracy can be made.

 Bu çalışmada, Hargreaves solar radyasyon Rs tahmin modelinin Akdeniz  Güneydoğu Anadolu geçit kuşağı koşullarına uygun kalibrasyonunun yapılması ve test edilmesi amaçlanmıştır. Kalibrasyon eşitliğinin oluşturulmasında Kahramanmaraş iline ait maksimum, minimum, ortalama hava sıcaklığı Tmax, Tmin, T, Rs ve extraterrestrial radyasyon Ra verilerinin uzun yıllar ortalaması 1938  2020 günlük değerleri kullanılmıştır. Ra değerleri coğrafi konum ve zamana bağlı olarak tahmin edilmiştir. Kalibrasyon katsayıları a, b Microsoft Excel programı çözücü eklentisi kullanılarak, sırasıyla 0.0984 ve 0.3695 olarak belirlenmiştir. Uzun yıllar ortalaması günlük Rs değerleri 4.99  32.56 MJm2 gün, kalibrasyon eşitliği kullanılarak tahmin edilen Rs değerleri ise 7.33  33.25 MJm2 gün aralığında değişmiştir. Ölçülen değerlerdeki değişimin tahmin değerleri ile açıklanabilme oranı 97.34 R2 0.9734 olarak elde edilmiştir. Ölçülen ve tahmin edilen Rs değerleri arasındaki sapmanın bir göstergesi olarak dikkate alınan ortalama mutlak göreceli hata oranı MAPE ve karekök ortalama karesel hata RMSE sırasıyla 8.71 ve 1.54 MJm2 olarak belirlenmiştir. Kalibrasyon eşitliği Kahramanmaraş Sütçü İmam Üniversitesinde KSÜ 2021 yılında ölçülen günlük ortalama Tmax, Tmin, T ve Rs verileri ile test edilmiştir. Bu verilerin ölçülmesinde Programlanabilir Lojik Kontrolör PLC tarafından yönetilen sıcaklık ve radyasyon sensörleri kullanılmıştır. Ölçülen ve tahmin edilen günlük Rs değerleri sırasıyla 10.40  29.13 MJm2 gün ve 13.80  31.16 MJm2 aralıklarında değişmiştir. Ölçülen değerlerdeki değişimin tahmin değerleri ile açıklanabilme oranı 86.71 R2 0.8671 olarak belirlenmiştir. MAPE ve RMSE sırasıyla 10.57 ve 2.57 MJm2 olarak elde edilmiştir. Yöre koşulları ile uyumlu Hargreaves modeli kalibrasyon eşitliği kullanılarak, doğruluk oranı yüksek solar radyasyon tahminleri yapılabileceği sonucuna ulaşılmıştır.

Makale detayları

Developing and Testing of Hargreaves Model Solar Radiation Estimation Equation Suitable for the Mediterranean-Southeastern Anatolian Transitional Zone Conditions

Yazarlar:

Selçuk Usta | Serpil Gençoğlan | Cafer Gençoğlan

Yayıncı:

Igdir University

Ana Başlıklar:

Mühendislik

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.13 Issue 1, pp.375-384

Belge Tipi:

Makale

Yayın Tarihi:

1/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001284040

pISSN:

2536-4618

Calibration

Solar radiation

Estimation model

Kalibrasyon

Solar radyasyon

Tahmin modeli

Sayı

Makale detayları

Developing and Testing of Hargreaves Model Solar Radiation Estimation Equation Suitable for the Mediterranean-Southeastern Anatolian Transitional Zone Conditions

Yazarlar: Selçuk Usta | Serpil Gençoğlan | Cafer Gençoğlan

Yayıncı: Igdir University

Ana Başlıklar: Mühendislik

Dergi: Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.13 Issue 1, pp.375-384

Belge Tipi: Makale

Yayın Tarihi: 1/2023

Belge Dili: Türkçe

Document ID (Org No.): 2001284040

pISSN: 2536-4618

Calibration

Solar radiation

Estimation model

Kalibrasyon

Solar radyasyon

Tahmin modeli

Sayı

Yazarlar:

Selçuk Usta | Serpil Gençoğlan | Cafer Gençoğlan

Yayıncı:

Igdir University

Ana Başlıklar:

Mühendislik

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.13 Issue 1, pp.375-384

Belge Tipi:

Makale

Yayın Tarihi:

1/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001284040

pISSN:

2536-4618