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Fig 1.

Flow chart of applying the GTO in solving stochastic UC problem.

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Fig 1 Expand

Table 1.

Forecasted load data.

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Table 1 Expand

Table 2.

The data for the10-thermal units.

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Table 2 Expand

Fig 2.

The convergence curve for the GTO handling the DUC (case 1).

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Fig 2 Expand

Fig 3.

The commitment scheduleing of thermal units of the DUC (case 1).

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Fig 3 Expand

Fig 4.

The output powers of the thermal units at the DUC (case 1).

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Fig 4 Expand

Fig 5.

A statistical comparison for cost reduction by different optimizers at DUC.

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Fig 5 Expand

Table 3.

The cost comparison between the GTO and other well-known algorithms without considering VPE (case 1).

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Table 3 Expand

Fig 6.

The convergence curves comparison of GTO, GWO, WOA, and AHA with VPE (case 1).

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Fig 6 Expand

Table 4.

The cost comparison between the GTO and other well-known algorithms with VPE (case 1).

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Table 4 Expand

Fig 7.

The produced scenarios of the load demand during 12.00–13.00 h by applying 1000 MCSs.

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Fig 7 Expand

Fig 8.

The convergence curve for the GTO handling the SUC at uncertain load demand (case2).

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Fig 8 Expand

Fig 9.

The commitment scheduleing of thermal units of the SUC at uncertainty of the load demand (case2).

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Fig 9 Expand

Fig 10.

The output powers of the thermal units of the SUC at uncertainty of the load demand (case 2).

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Fig 10 Expand

Table 5.

Costs’ results for case 2.

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Table 5 Expand

Fig 11.

Mean value and SD of wind speed over 24-hr.

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Fig 11 Expand

Fig 12.

Mean value and SD of solar irradiance over 24-hr.

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Fig 12 Expand

Fig 13.

The produced scenarios of the wind speed during 12.00–13.00 h by applying 1000 MCSs.

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Fig 13 Expand

Fig 14.

The produced scenarios of the solar irradiance during 12.00–13.00 h by applying 1000 MCSs.

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Fig 14 Expand

Fig 15.

The commitment scheduleing of thermal units of the SUC at uncertainty of the load demand and RE resources (case3).

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Fig 15 Expand

Fig 16.

The output powers obtained of the thermal units at the SUC with uncertainty of the load demand and RE resources (case 3).

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Fig 16 Expand

Fig 17.

The convergence curve for the GTO handling the SUC at uncertainty of the load demand and RE resources (case3).

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Fig 17 Expand

Fig 18.

The convergence curves comparison between case 2 and case 3.

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Fig 18 Expand

Table 6.

Specification of wind turbine.

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Table 6 Expand

Table 7.

Specification of solar unit.

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Table 7 Expand

Table 8.

Costs comparison between case 2 and case 3.

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Table 8 Expand