Table 4 Compromise point of the suggested approach based on different uncertainty models and solvers.
Uncertainty model | ωEC | ωEL | ωVS | Energy cost ($) | Energy loss (MWh) | The sum of WSI (p.u.) | Calculation time (sec) | |
|---|---|---|---|---|---|---|---|---|
UT method with | IPOPT | 0.08 | 0.78 | 0.14 | 1862.1 | 1.902 | 22.4 | 472 |
CONOPT | 0.08 | 0.78 | 0.14 | 1863.8 | 1.912 | 22.1 | 608 | |
BARON | 0.07 | 0.80 | 0.13 | 1879.2 | 2.067 | 21.1 | 985 | |
KNITRO | 0.07 | 0.80 | 0.13 | 1875.4 | 2.061 | 21.3 | 923 | |
LGO | 0.07 | 0.80 | 0.13 | 1871.5 | 2.022 | 21.6 | 867 | |
MINOS | 0.08 | 0.78 | 0.14 | 1866.3 | 1.942 | 21.9 | 712 | |
SBSO with the IPOPT solver | 30 scenarios | 0.09 | 0.78 | 0.13 | 1840.7 | 1.849 | 23.1 | 514 |
60 scenarios | 0.09 | 0.77 | 0.15 | 1852.1 | 1.869 | 22.9 | 712 | |
90 scenarios | 0.08 | 0.78 | 0.14 | 1859.5 | 1.884 | 22.6 | 876 | |
120 scenarios | 0.08 | 0.78 | 0.14 | 1861.4 | 1.896 | 22.5 | 981 | |
