Table 15 Statistical results of the proposed LSDO and original SDO algorithms for case studies without RESs.
Systems | Cases | Min | Mean | Max | SD | |
|---|---|---|---|---|---|---|
IEEE 30 | Case 1 | SDO | 800.4223 | 800.4461 | 800.4776 | 1.4516E−2 |
LSDO | 800.42 | 800.4404 | 800.4828 | 1.4232E−2 | ||
Case 2 | SDO | 0.20484 | 0.20486 | 0.20492 | 2.3422E−5 | |
LSDO | 0.20483 | 0.20487 | 0.20491 | 2.535E−5 | ||
Case 3 | SDO | 0.092494 | 0.095292 | 0.10039 | 2.6015E−3 | |
LSDO | 0.091521 | 0.093677 | 0.10008 | 2.2197E−3 | ||
Case 4 | SDO | 3.0908 | 3.0983 | 3.1267 | 1.0211E−2 | |
LSDO | 3.0902 | 3.0932 | 3.1024 | 2.6589E−3 | ||
IEEE 57 | Case 6 | SDO | 41668.7587 | 41669.5291 | 41676.463 | 2.4363 |
LSDO | 41667.719 | 41667.807 | 41667.915 | 1.001E−1 | ||
Case 7 | SDO | 0.63354 | 0.64428 | 0.66422 | 1.5011E−2 | |
LSDO | 0.62165 | 0.63646 | 0.64016 | 7.5964E−3 | ||
Case 8 | SDO | 10.4552 | 10.5735 | 11.0571 | 1.8523E−1 | |
LSDO | 10.2332 | 10.2551 | 10.6719 | 9.8104E−2 | ||
IEEE 118 | Case 12 | SDO | 139923.69 | 140792.50 | 144232.38 | 1588.4573 |
LSDO | 137105.99 | 137354.50 | 138858.69 | 576.4613 | ||