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Table 4 Optimum sizing of DGs and shunt capacitors for 69-bus system

From: Simultaneous optimal allocation and sizing of distributed generations and shunt capacitors in distribution networks using fuzzy GA methodology

Sensitivity analysis [22]

Simultaneous optimization-based method

With upf DGs and shunt capacitors

With 0.95 lag pf DGs only

With lag pf DGs and shunt capacitors

With upf DGs and shunt capacitors

With 0.95 lag pf DGs only

With lag 0.95 pf DGs and shunt capacitors

\(P_{{{\text{DG}}_{ 6 5} }}\) = 724.62

\(P_{{{\text{DG}}_{ 1 6} }}\) = 760.4

\({\text{Q}}_{{{\text{DG}}_{ 1 6} }}\) = 249.94

\(P_{{{\text{DG}}_{ 6 5} }}\) = 736.54

\({\text{Q}}_{{{\text{DG}}_{ 6 5} }}\) = 242.10

\(P_{{{\text{DG}}_{ 6 0} }}\) = 718.65

\(P_{{{\text{DG}}_{ 6 3} }}\) = 757.42

\({\text{Q}}_{{{\text{DG}}_{ 6 3} }}\) = 248.96

\(P_{{{\text{DG}}_{ 6 4} }}\) = 760.40

\({\text{Q}}_{{{\text{DG}}_{ 6 4} }}\) = 249.94

\(P_{{{\text{DG}}_{ 6 4} }}\) = 760.40

\(P_{{{\text{DG}}_{ 1 5} }}\) = 760.4

\({\text{Q}}_{{{\text{DG}}_{ 1 5} }}\) = 249.94

\(P_{{{\text{DG}}_{ 6 4} }}\) = 757.42

\({\text{Q}}_{{{\text{DG}}_{ 6 4} }}\) = 248.96

\(P_{{{\text{DG}}_{ 4 0} }}\) = 757.42

\(P_{{{\text{DG}}_{ 6 8} }}\) = 754.44

\({\text{Q}}_{{{\text{DG}}_{ 6 8} }}\) = 247.98

\(P_{{{\text{DG}}_{ 6 8} }}\) = 733.56

\({\text{Q}}_{{{\text{DG}}_{ 6 8} }}\) = 241.12

\(P_{{{\text{DG}}_{ 6 3} }}\) = 760.40

\(P_{{{\text{DG}}_{ 4 5} }}\) = 760.4

\({\text{Q}}_{{{\text{DG}}_{ 4 5} }}\) = 249.94

\(P_{{{\text{DG}}_{ 6 3} }}\) = 748.47

\({\text{Q}}_{{{\text{DG}}_{ 6 3} }}\) = 246.02

\(P_{{{\text{DG}}_{ 6 4} }}\) = 757.42

\(P_{{{\text{DG}}_{ 6 1} }}\) = 760.4

\({\text{Q}}_{{{\text{DG}}_{ 6 1} }}\) = 249.94

\(P_{{{\text{DG}}_{ 6 2} }}\) = 745.49

\({\text{Q}}_{{{\text{DG}}_{ 6 2} }}\) = 245.04

\({\text{QC}}_{ 6 5}\) = 525.00

–

\({\text{QC}}_{ 6 5}\) = 150.00

\({\text{QC}}_{ 1 8}\) = 525.00

–

\({\text{QC}}_{ 6 1}\) = 475.00

\({\text{QC}}_{ 6 4}\) = 525.00

–

\({\text{QC}}_{ 6 4}\) = 200.00

\({\text{QC}}_{ 5 8}\) = 500.00

–

\({\text{QC}}_{ 5 6}\) = 450.00

\({\text{QC}}_{ 6 3}\) = 525.00

–

\({\text{QC}}_{ 6 3}\) = 500.00

\({\text{QC}}_{ 6 1}\) = 525.00

–

\({\text{QC}}_{ 4 8}\) = 450.00