A Novel 2-D Model Approach for the Prediction of Hourly Solar Radiation

A Novel 2-D Model Approach A Novel 2-D Model Approach for the Predictionfor the Prediction

of Hourly Solar Radiationof Hourly Solar Radiation

F. Onur HocaoF. Onur Hocaoğğlu, lu, ÖÖ. Nezih . Nezih Gerek, Mehmet Kurban Gerek, Mehmet Kurban

Anadolu University, Dep. of Anadolu University, Dep. of Electrical and Electronics Eng., Electrical and Electronics Eng.,

Eskisehir, TURKEY Eskisehir, TURKEY

Solar Radiation DataSolar Radiation Data

11 12 1n mC x x x

11 1

1

n

m mn

x x

Rad

x x

1D Solar Radiation Data

2D Representation of Solar Radiation Data

Image View of Solar Radiation DataImage View of Solar Radiation Data

Prediction TemplatesPrediction Templates

Mathematical Description of Optimal Coefficent Mathematical Description of Optimal Coefficent Linear FiltersLinear Filters

,i jx , 1i jx

1,i jx 1, 1 ?i jx

1, 1 1 ( 1) 2 ( 1) 3ˆ . . .i j ij i j i jx x a x a x a

1, 1 1, 1 1, 1ˆi j i j i jx x

Mathematical Description of Optimal Coefficent Linear Mathematical Description of Optimal Coefficent Linear FiltersFilters

2

1 1

m n

iji j

1 111 12 13

21 22 23 2 2

31 32 33 3 3

a rR R R

R R R a r

R R R a r

1 2 3

0a a a

1a R r

Eror Image Obtained from 2D Optimal Linear FilterEror Image Obtained from 2D Optimal Linear Filter

NN StructuresNN Structures

Test DataTest Data

Test Eror Image Obtained From NN2-D

Correlation Coefficient Obtained from NN2-D

RESULTSRESULTS

Thank YouThank You

Fatih Onur HOCAOGLUFatih Onur HOCAOGLU