The line voltage in the 3-phase disti@ution system of Figure 4 is415VRMS. Determine:V13PHY415V 50HzR1wwliR2R3www24Q800210QFigure 4(a) The power dissipated in the loads R1, R2 and R33kW Balanced Load[Ans: 2.4kW, 718W, 5.76kW](b) The RMS current in each line.C[Ans: 14.17A, 7.17A, 28.17A]

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Answered: The line voltage in the 3-phase…

The line voltage in the 3-phase disti@ution system of Figure 4 is 415VRMS. Determine: V1 3PH Y 415V 50Hz R1 wwli R3 R2 www H 24Q 8002 10Ω 3kW Balanced Load C

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...

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Concept explainers

Power Measurement

According to Blondel's theorem, the total power is measured with one less number of wattmeters than the number of wires present in the system. So, a single-phase and two-wire system will require one wattmeter and a single-phase and the three-wire system will require two wattmeters, and a three-phase and the three-wire system will also require two wattmeters and a three-phase and the four-wire system will require three wattmeter devices. The wattmeter is a device that measures power using one voltage and one current input as shown in the above figure. Multiple current or voltage input pair cables are used by many power analyzers and digital storage oscilloscopes (DSOs) for measuring watts, in effect within a single instrument acting as multiple wattmeters. It is possible to measure three-phase and four-wire power with one correctly specified power analyzer.

Question

The line voltage in the 3-phase disti@ution system of Figure 4 is
415VRMS. Determine:
V1
3PH
Y
415V 50Hz
R1
wwli
R2
R3
www
24Q
8002
10Q
Figure 4
(a) The power dissipated in the loads R1, R2 and R3
3kW Balanced Load
[Ans: 2.4kW, 718W, 5.76kW]
(b) The RMS current in each line.
C
[Ans: 14.17A, 7.17A, 28.17A]

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Step 1: Given circuit represent star and delta form

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Step 2: Explain power dissipated concept

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Step 3: Determine power dissipated in R1 load

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Step 4: Determine phase voltage Vca

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Step 5: Determine phase voltage Vab,Vbc

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Step 6: calculate the 1phase power

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Step 7: Determine the phase current

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Step 8: Determine the line current

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