Table 3.
Performance comparison based on the MAPE performance metric between the proposed approach and the reference approaches to solve the Brazilian power generation problem as reported in [19].
| MAPE | Forecast Horizon (h) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Average | |
| Level 0 (Top): Total Electrical Power in Brazil | ||||||||||
| Proposed | 0.04 | 0.87 | 0.80 | 0.85 | 0.83 | 0.83 | 0.76 | 0.74 | 0.48 | 0.60 |
| BU [19] | 2.00 | 3.53 | 5.62 | 8.04 | 10.17 | 11.45 | 11.17 | 10.76 | 10.48 | 8.14 |
| TDGSA [19] | 2.07 | 3.76 | 6.10 | 8.79 | 11.25 | 12.87 | 12.95 | 12.72 | 12.63 | 9.24 |
| TDGSF [19] | 2.07 | 3.76 | 6.10 | 8.79 | 11.25 | 12.87 | 12.95 | 12.72 | 12.63 | 9.24 |
| TDFP [19] | 2.07 | 3.76 | 6.10 | 8.79 | 11.25 | 12.87 | 12.95 | 12.72 | 12.63 | 9.24 |
| OLS [19] | 1.98 | 3.65 | 5.94 | 8.59 | 10.99 | 12.54 | 12.55 | 12.23 | 12.06 | 8.95 |
| WLSv [19] | 1.91 | 3.51 | 5.70 | 8.24 | 10.51 | 11.93 | 11.79 | 11.32 | 10.99 | 8.43 |
| WLSs [19] | 1.88 | 3.46 | 5.63 | 8.15 | 10.39 | 11.77 | 11.59 | 11.09 | 10.76 | 8.30 |
| MintT (Sample ) [19] | 1.68 | 3.29 | 5.50 | 8.02 | 10.24 | 11.57 | 11.31 | 10.85 | 10.60 | 8.12 |
| MinT (Shrink) [19] | 1.74 | 3.36 | 5.59 | 8.12 | 10.35 | 11.69 | 11.44 | 10.94 | 10.69 | 8.21 |
| Level 1—Electrical Subsystems | ||||||||||
| Proposed | 0.17 | 0.98 | 1.2 | 1.31 | 1.21 | 1.16 | 1.09 | 1.06 | 1.06 | 1.02 |
| BU [19] | 1.97 | 3.64 | 6.12 | 8.75 | 10.78 | 11.93 | 11.90 | 11.70 | 11.88 | 8.74 |
| TDGSA [19] | 31.97 | 31.74 | 30.37 | 28.93 | 28.12 | 27.49 | 26.71 | 26.04 | 25.36 | 28.53 |
| TDGSF [19] | 32.38 | 32.14 | 30.71 | 29.21 | 28.21 | 27.46 | 26.71 | 26.06 | 25.41 | 28.70 |
| TDFP [19] | 1.86 | 3.88 | 6.68 | 9.89 | 9.89 | 12.52 | 14.19 | 14.45 | 14.34 | 9.75 |
| OLS [19] | 1.90 | 3.55 | 6.30 | 9.20 | 11.70 | 13.36 | 13.64 | 13.56 | 13.66 | 9.65 |
| WLSv [19] | 1.77 | 3.35 | 5.84 | 8.62 | 10.84 | 12.38 | 12.56 | 12.40 | 12.41 | 8.91 |
| WLSs [19] | 1.81 | 3.41 | 5.92 | 8.74 | 11.00 | 12.57 | 12.79 | 12.68 | 12.75 | 9.07 |
| MintT (Sample ) [19] | 1.64 | 3.20 | 5.66 | 8.50 | 10.76 | 12.23 | 12.40 | 12.21 | 12.20 | 8.76 |
| MinT (Shrink) [19] | 1.66 | 3.28 | 5.75 | 8.57 | 10.84 | 12.33 | 12.50 | 12.31 | 12.28 | 8.83 |
| Level 2—Sources | ||||||||||
| Proposed | 0.60 | 1.20 | 3.89 | 4.26 | 3.76 | 3.42 | 3.01 | 3.01 | 3.02 | 2.91 |
| BU [19] | 2.66 | 5.05 | 6.53 | 7.71 | 8.88 | 9.46 | 9.40 | 9.22 | 9.11 | 7.56 |
| TDGSA [19] | 46.33 | 44.34 | 41.72 | 40.35 | 39.87 | 39.29 | 38.44 | 37.52 | 36.58 | 40.49 |
| TDGSF [19] | 47.66 | 45.70 | 42.87 | 41.24 | 40.42 | 39.64 | 38.80 | 37.90 | 36.96 | 41.24 |
| TDFP [19] | 2.83 | 5.51 | 7.53 | 9.45 | 9.45 | 11.46 | 12.79 | 13.20 | 13.33 | 9.50 |
| OLS | 2.51 | 5.07 | 6.78 | 8.29 | 9.78 | 10.62 | 10.73 | 10.63 | 10.56 | 8.33 |
| WLSv [19] | 2.60 | 5.11 | 6.74 | 8.09 | 9.42 | 10.18 | 10.21 | 10.07 | 9.97 | 8.04 |
| WLSs [19] | 2.56 | 4.98 | 6.64 | 8.00 | 9.31 | 10.00 | 9.95 | 9.70 | 9.63 | 7.86 |
| MintT (Sample ) [19] | 2.48 | 4.96 | 6.58 | 7.91 | 9.27 | 10.10 | 10.22 | 10.10 | 10.00 | 7.96 |
| MinT (Shrink) [19] | 2.52 | 5.04 | 6.68 | 8.02 | 9.38 | 10.20 | 10.30 | 10.19 | 10.10 | 8.05 |