Skip to main content

Table 8 Temperature-based models and their coefficients with error test values

From: Global solar radiation estimation from commonly available meteorological data for Bangladesh

Model no.

Equations

a

b

c

d

\(R^2\)

MPE

MBE

RMSE

MARE

t stat

30

\(H/H_0 = a[1-\hbox {exp}(-b(\Delta T)^{\mathrm{c}})]\)

6.842

0.02002

0.59

0.8637

0.317626

−0.00023

0.171864

0.038084

0.004467

31

\(H/H_0 = a \times \hbox {exp}(b \Delta T)\)

0.2525

0.07019

0.8961

0.197066

0.006198

0.167799

0.036362

0.122597

32

\(H/H_0 = a[1-\hbox {exp}(-b(\Delta T)^a)]\)

0.8347

0.1412

-

0.8811

1.477691

−0.04888

0.185846

0.037303

0.904051

33

\(H/H_0 = a \times \hbox {exp}(b \Delta T) + c \times exp(d \Delta T)\)

0.2531

0.06996

−1.907

−1.381

0.8961

0.192121

0.006394

0.167813

0.036402

0.12647

34

\(H/H_0 = a(\Delta T^{0.5})\)

0.1596

0.8784

0.131653

0.008627

0.193591

0.038634

0.147948

35

\(H/H_0 = a(\Delta T^{0.5})+b\)

0.1761

−0.04091

0.8845

1.44731

−0.0472

0.181962

0.036747

0.89087

36

\(H/H_0 = a\Delta T^{\mathrm{b}}\)

0.1381

0.569

0.8919

0.196359

0.00489

0.171956

0.038205

0.094353

37

\(H/H_0 = a\Delta T^{\mathrm{b}}+c\)

0.004524

1.679

0.2933

0.8959

0.197305

0.00627

0.167929

0.036417

0.123925

38

\(H/H_0 = a\Delta T^2 + b\Delta T + c\)

0.001263

0.01089

0.2741

0.896

0.194758

0.00637

0.167952

0.036419

0.12589

39

\(H/H_0 = a\Delta T^3 + b\Delta T^2 + c\Delta T + d\)

0.0009056

−0.02235

0.2108

−0.2714

0.8984

0.263633

0.003942

0.169964

0.036145

0.076945