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

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

$$P_{{{\text{DG}}_{ 6 5} }}$$â€‰=â€‰724.62

$$P_{{{\text{DG}}_{ 1 6} }}$$â€‰=â€‰760.4

$${\text{Q}}_{{{\text{DG}}_{ 1 6} }}$$â€‰=â€‰249.94

$$P_{{{\text{DG}}_{ 6 5} }}$$â€‰=â€‰736.54

$${\text{Q}}_{{{\text{DG}}_{ 6 5} }}$$â€‰=â€‰242.10

$$P_{{{\text{DG}}_{ 6 0} }}$$â€‰=â€‰718.65

$$P_{{{\text{DG}}_{ 6 3} }}$$â€‰=â€‰757.42

$${\text{Q}}_{{{\text{DG}}_{ 6 3} }}$$â€‰=â€‰248.96

$$P_{{{\text{DG}}_{ 6 4} }}$$â€‰=â€‰760.40

$${\text{Q}}_{{{\text{DG}}_{ 6 4} }}$$â€‰=â€‰249.94

$$P_{{{\text{DG}}_{ 6 4} }}$$â€‰=â€‰760.40

$$P_{{{\text{DG}}_{ 1 5} }}$$â€‰=â€‰760.4

$${\text{Q}}_{{{\text{DG}}_{ 1 5} }}$$â€‰=â€‰249.94

$$P_{{{\text{DG}}_{ 6 4} }}$$â€‰=â€‰757.42

$${\text{Q}}_{{{\text{DG}}_{ 6 4} }}$$â€‰=â€‰248.96

$$P_{{{\text{DG}}_{ 4 0} }}$$â€‰=â€‰757.42

$$P_{{{\text{DG}}_{ 6 8} }}$$â€‰=â€‰754.44

$${\text{Q}}_{{{\text{DG}}_{ 6 8} }}$$â€‰=â€‰247.98

$$P_{{{\text{DG}}_{ 6 8} }}$$â€‰=â€‰733.56

$${\text{Q}}_{{{\text{DG}}_{ 6 8} }}$$â€‰=â€‰241.12

$$P_{{{\text{DG}}_{ 6 3} }}$$â€‰=â€‰760.40

$$P_{{{\text{DG}}_{ 4 5} }}$$â€‰=â€‰760.4

$${\text{Q}}_{{{\text{DG}}_{ 4 5} }}$$â€‰=â€‰249.94

$$P_{{{\text{DG}}_{ 6 3} }}$$â€‰=â€‰748.47

$${\text{Q}}_{{{\text{DG}}_{ 6 3} }}$$â€‰=â€‰246.02

$$P_{{{\text{DG}}_{ 6 4} }}$$â€‰=â€‰757.42

$$P_{{{\text{DG}}_{ 6 1} }}$$â€‰=â€‰760.4

$${\text{Q}}_{{{\text{DG}}_{ 6 1} }}$$â€‰=â€‰249.94

$$P_{{{\text{DG}}_{ 6 2} }}$$â€‰=â€‰745.49

$${\text{Q}}_{{{\text{DG}}_{ 6 2} }}$$â€‰=â€‰245.04

$${\text{QC}}_{ 6 5}$$â€‰=â€‰525.00

â€“

$${\text{QC}}_{ 6 5}$$â€‰=â€‰150.00

$${\text{QC}}_{ 1 8}$$â€‰=â€‰525.00

â€“

$${\text{QC}}_{ 6 1}$$â€‰=â€‰475.00

$${\text{QC}}_{ 6 4}$$â€‰=â€‰525.00

â€“

$${\text{QC}}_{ 6 4}$$â€‰=â€‰200.00

$${\text{QC}}_{ 5 8}$$â€‰=â€‰500.00

â€“

$${\text{QC}}_{ 5 6}$$â€‰=â€‰450.00

$${\text{QC}}_{ 6 3}$$â€‰=â€‰525.00

â€“

$${\text{QC}}_{ 6 3}$$â€‰=â€‰500.00

$${\text{QC}}_{ 6 1}$$â€‰=â€‰525.00

â€“

$${\text{QC}}_{ 4 8}$$â€‰=â€‰450.00