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Table 3 Statistical errors of the best-proposed forecasting models using \(SSO\), \(PSO\), \(CSO\) and NNA

From: Short-term photovoltaic power production forecasting based on novel hybrid data-driven models

  

\(SV{R}_{RB}\)

\(SV{R}_{Linear}\)

\(BPN{N}^{1}\)

\(BPN{N}^{2}\)

SSO

\(RMSE \; (\text{kW})\)

4.4751

10.6940

4.8460

5.0742

\(nRMSE \; (\%)\)

4.3374

10.3649

4.6969

4.9181

\(MAE \; (\text{kW})\)

2.5699

4.8621

3.1713

3.2365

\(nMAE \; (\%)\)

2.4909

4.7125

3.0737

3.1369

PSO

\(RMSE \; (\text{kW})\)

4.487

9.1334

4.9735

4.5564

\(nRMSE \; (\%)\)

4.349

8.8524

4.8205

4.4223

\(MAE \; (\text{kW})\)

2.5728

4.8617

3.2410

2.8739

\(nMAE \; (\%)\)

2.4936

4.7121

3.1413

2.7854

CSO

\(RMSE \; (\text{kW})\)

4.4795

10.6932

5.0788

4.5692

\(nRMSE \; (\%)\)

4.3417

10.3642

4.9226

4.4286

\(MAE \; (\text{kW})\)

2.5661

4.8637

3.3053

2.9614

\(nMAE \; (\%)\)

2.4871

4.7141

3.2036

2.8703

NNA

\(RMSE \; (\text{kW})\)

4.4889

10.6732

5.0281

4.6608

\(nRMSE \; (\%)\)

4.3418

10.4944

4.8734

4.5175

\(MAE \; (\text{kW})\)

2.5752

4.8647

3.2662

2.9839

\(nMAE \; (\%)\)

2.4963

4.7311

3.4168

2.8921