Table 4 Summary of case studies.

From: Exploring the effectiveness of adaptive randomized sine cosine algorithm in wind integrated scenario based power system optimization with FACTS devices

Case no

Case description

Ref. eqn

Case 1

Minimize cost; \(C_{{{\text{gen}}}} \left( {\$ /{\text{h}}} \right)\)

Equation (31)

Case 2

Minimize power loss; \(P_{{{\text{loss}}}} \left( {{\text{MW}}} \right)\)

Equation (32)

Case 3

Minimize cost and power loss; \(C_{{{\text{gross}}}} \left( {\$ /{\text{h}}} \right)\)

Equation (33)

Case 4

Minimize \(C_{{{\text{gross}}}} \left( {\$ /{\text{h}}} \right)\) with uncertain load demand; Scenario \(sc_{1}\)

Equation (33)

Case 5

Minimize \(C_{{{\text{gross}}}} \left( {\$ /{\text{h}}} \right)\) with uncertain load demand; Scenario \(sc_{2}\)

Equation (33)

Case 6

Minimize \(C_{{{\text{gross}}}} \left( {\$ /{\text{h}}} \right)\) with uncertain load demand; Scenario \(sc_{3}\)

Equation (33)

Case 7

Minimize \(C_{{{\text{gross}}}} \left( {\$ /{\text{h}}} \right)\) with uncertain load demand; Scenario \(sc_{4}\)

Equation (33)

Case 8

Expected Gross cost, Generation cost and Power loss considering all uncertainty in load demand

Equation (50), (51), (52)