Assume that a substation supplies three different kinds of loads, mainly, incandescent lights, induction motors, and synchronous motors, as shown in Figure 8.12. The substation power factor is found from the total reactive and real powers of the various loads that are connected. Based on the given data in Figure 8.12, determine the following: a. The apparent, real, and kvars of each load b. The total apparent, real, and reactive powers of the power that should be supplied by the substation c. The total power factor of the substation Substation 4 3 Σinendesent lights (100 KVAE 10 PF) Einduction motor P loads (300 kVAe 0.85 PF lag) Esynchronous motor P loads (200 kVAe 0.8 lead) (a) P3= 160 kW P = 100 kW 5 Sz= 300KVA 8 ka P = 255KW (b) Sut = 516.4 kVA Que = 38 kvar Pot - 515 kW (c) FIGURE 8.12 For Example 8.2: (a) connection diagram, (b) phasor diagrams of individual loads, and (c) phasor diagram of combined loads. 24 Q- 120kvar

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.56P: Three single-phase two-winding transformers, each rated 3kVA,220/110volts,60Hz, with a 0.10 per-unit...
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Assume that a substation supplies three different kinds of loads, mainly, incandescent lights,
induction motors, and synchronous motors, as shown in Figure 8.12. The substation power factor
is found from the total reactive and real powers of the various loads that are connected. Based on
the given data in Figure 8.12, determine the following:
a. The apparent, real, and kvars of each load
b. The total apparent, real, and reactive powers of the power that should be supplied by the
substation
c. The total power factor of the substation
Substation
3
4
1
3
Elncandescent
lights
(100 KVAE 1.0 PF)
Elnduction motor
p loads
(300 KVAE 0.85 PF lag)
Esynchronous motor
p loads
(200 KVAE 0.8 lead)
(a)
P = 100 kw 1
S2 = 300KVA
P3 = 160 kW
5
8.
ku
P = 255 kW
a
(b)
Stot = 516.4KVA
Quat = 38 kvar
Otot
Pot = 515 kW
(c)
FIGURE 8.12 For Example 8.2: (a) connection diagram, (b) phasor diagrams of individual loads, and (c)
phasor diagram of combined loads.
Q2 = 120kvar
Transcribed Image Text:Assume that a substation supplies three different kinds of loads, mainly, incandescent lights, induction motors, and synchronous motors, as shown in Figure 8.12. The substation power factor is found from the total reactive and real powers of the various loads that are connected. Based on the given data in Figure 8.12, determine the following: a. The apparent, real, and kvars of each load b. The total apparent, real, and reactive powers of the power that should be supplied by the substation c. The total power factor of the substation Substation 3 4 1 3 Elncandescent lights (100 KVAE 1.0 PF) Elnduction motor p loads (300 KVAE 0.85 PF lag) Esynchronous motor p loads (200 KVAE 0.8 lead) (a) P = 100 kw 1 S2 = 300KVA P3 = 160 kW 5 8. ku P = 255 kW a (b) Stot = 516.4KVA Quat = 38 kvar Otot Pot = 515 kW (c) FIGURE 8.12 For Example 8.2: (a) connection diagram, (b) phasor diagrams of individual loads, and (c) phasor diagram of combined loads. Q2 = 120kvar
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