In PowerWorld Simulator Problem 2.32 (see Figure 2.28) a 8 MW/4 Mvar load is supplied at 13.8 kV through a feeder with an impedance of 1+j2 Q. The load is compensated with a capacitor whose output, Qcap, can be varied in 0.5 Mvar steps between 0 and 10.0 Mvars. What value of Qeap minimizes the real power line losses? What value of Qeap minimizes the MVA power flow into the feeder?

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2.32 In PowerWorld Simulator Problem 2.32 (see Figure 2.28) a 8 MW/4 Mvar load is
supplied at 13.8 kV through a feeder with an impedance of 1+j2 Q. The load is
compensated with a capacitor whose output, Qcap, can be varied in 0.5 Mvar steps
between 0 and 10.0 Mvars. What value of Qeap minimizes the real power line losses?
What value of Qeap minimizes the MVA power flow into the feeder?
PW
сар
FIGURE 2.28 Source Voltage = 14.98 kV
Screen for Problem 2.32
Feeder Impedance = 1+ j2 Ohms
Power into Feeder at Source
8.42 MW
4.84 Mvar
9.71 MVA
13.80 kV
Feeder Losses = 0.420 MW
0.840 Mvar
8.0 MW
4.0 Mvar
0.04Mvar
PW
2.33 For the system from Problem 2.32, plot the real and reactive line losses as Qeap is var-
ied between 0 and 10.0 Mvars.
PW
2.34 For the system from Problem 2.32, assume that half the time the load is 10 MW/5
Mvar, and for the other half it is 20 MW/10 Mvar. What single value of Qcap Would
minimize the average losses? Assume that Qeap can only be varied in 0.5 Mvar steps.
Transcribed Image Text:2.32 In PowerWorld Simulator Problem 2.32 (see Figure 2.28) a 8 MW/4 Mvar load is supplied at 13.8 kV through a feeder with an impedance of 1+j2 Q. The load is compensated with a capacitor whose output, Qcap, can be varied in 0.5 Mvar steps between 0 and 10.0 Mvars. What value of Qeap minimizes the real power line losses? What value of Qeap minimizes the MVA power flow into the feeder? PW сар FIGURE 2.28 Source Voltage = 14.98 kV Screen for Problem 2.32 Feeder Impedance = 1+ j2 Ohms Power into Feeder at Source 8.42 MW 4.84 Mvar 9.71 MVA 13.80 kV Feeder Losses = 0.420 MW 0.840 Mvar 8.0 MW 4.0 Mvar 0.04Mvar PW 2.33 For the system from Problem 2.32, plot the real and reactive line losses as Qeap is var- ied between 0 and 10.0 Mvars. PW 2.34 For the system from Problem 2.32, assume that half the time the load is 10 MW/5 Mvar, and for the other half it is 20 MW/10 Mvar. What single value of Qcap Would minimize the average losses? Assume that Qeap can only be varied in 0.5 Mvar steps.
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