1. A wattmeter with its current coil in line 2 and potential coil across lines 2 and 3 is connected to a balanced 3-phase system. The only load supplied is a single-phase inductive load connected between lines 1 and 2. If the wattmeter reads zero, find the power factor of the load. 2. A factory is supplied by a balanced 3-phase, 230 V, 60 Hz, 3-wire system. The currents in lines 1 and 3 are 110 cis (-36.87), A and 125 cis 53.13, A. Find the total KW drawn by the load. Assume a phase sequence of 1-2-3. 3. A balanced, 3-phase, 4160 V, 3-wire load draws the following line currents: Ia = 60 cis 330, A; Iz = 78.4 cis 214, A; and ie = 75 cis 80, A. Find the total kW drawn by the load. Assume a phase sequence of a-b-c. 4. A balanced, 3-phase, 220 V, 60 Hz line is serving a delta connected load: Z12 = (8 + j6)N; Z23 = (8.66 – j5)N: and Z31 = (10 + j0) n. Find the reading of the two wattmeters properly connected to measure total power using line 1 as the common potential point. Assume a phase sequence of 1-2-3.

1. A wattmeter with its current coil in line 2 and potential coil across lines 2 and 3 is connected to a balanced 3-phase system. The only load supplied is a single-phase inductive load connected between lines 1 and 2. If the wattmeter reads zero, find the power factor of the load. 2. A factory is supplied by a balanced 3-phase, 230 V, 60 Hz, 3-wire system. The currents in lines 1 and 3 are 110 cis (-36.87), A and 125 cis 53.13, A. Find the total KW drawn by the load. Assume a phase sequence of 1-2-3. 3. A balanced, 3-phase, 4160 V, 3-wire load draws the following line currents: Ia = 60 cis 330, A; Iz = 78.4 cis 214, A; and ie = 75 cis 80, A. Find the total kW drawn by the load. Assume a phase sequence of a-b-c. 4. A balanced, 3-phase, 220 V, 60 Hz line is serving a delta connected load: Z12 = (8 + j6)N; Z23 = (8.66 – j5)N: and Z31 = (10 + j0) n. Find the reading of the two wattmeters properly connected to measure total power using line 1 as the common potential point. Assume a phase sequence of 1-2-3.

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 2.30P: Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source....

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Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source. Load 1: Inductive load, 125kVA,0.28PF lagging. Load 2: Capacitive load, 10kW,40kvar. Load 3: Resistive load, 15kW. (a) Determine the total kW, kvar, kva, and supply power factor. (b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in F. Comment on the magnitude of the supply current after adding the capacitor.
1. A balanced, three-phase, 900V system is supplying a balanced load connected in delta. A three-phase wattmeter (measuring total three-phase power) is connected to the supply and an ammeter is connected to one of the supply phases. Each load consists of a resistance in parallel with an inductive reactance. a. If the wattmeter reads 14.1 kW, what is the resistance of each load? b. If the ammeter reads 10 A What is the impedance (Z) of each load? c. What is the reactance (X)? d. If this load was instead connected in star, what would the new readings be? (P and I).( need only handwritten solution .otherwise downvote.)
28. The impedances are mesh-connected to a symmetrical three-phase, 40-V, 50, Hz supply of phase sequence RYB. Z1=(5+j10)ohm is connected between lines R and Y Z2=(5+j5)ohm is connected between lines Y and B Z3= (6+j4)ohm is connected between lines 8 and R. Two wattmeters connected to measure input have their current coils in lines R and Y respectively. Calculate the line currents and the wattmeter readings. (195.5 A, 79.4 A, 43.4 A; 39.8 kW, 9.6 kW] Answers.
Solve the following problems and include your complete solution. A. A wattmeter with its current coil in line 2 and potential coil across lines 2 and 3 is connected to a balanced 3-phase system. The only load supplied is a single-phase one connected to lines 1 and 2. This load is known to be inductive. If the wattmeter reads zero watts, determine the power factor of the single-phase load. B. Two batteries A and B are connected across each other with terminals of the same polarity together. The open-circuit emf and internal resistance of each battery is respectively 24 V and 1.5 Ω. Determine the resistance of a heating load connected across the parallel combination of batteries so that the power consumed in the load is 100 watts.
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The balanced three-phase load shown is fed from a balanced, positive-sequence, three-phase Y-connected source. The impedance of the line connecting the source to the load is negligible. The line-to-neutral voltage of the source is 7200 V. 1. a) Find the reading of the wattmeter in watts. 2. b) Explain how you would connect a second wattmeter in the circuit so that the two wattmeters would measure the total power. 3. c) Calculate the reading of the second wattmeter. 4. d) Verify that the sum of the two wattmeter readings equals the total average power delivered to the load.
2.1 Two power stations, A and B, are synchronized at 66 kV. They are inter-connected by a transmission line with an inductive reactance of 6.7-Ω and resistance of 3.5-Ω per phase. The voltage of power station A is advanced with an angle of 10.5 degrees with respect to the voltage of power station B. The loading of power station B has a real power of 200 MW. The respective loads of the two power stations are as follows: Power station A: 165 MVA at a power factor of 0.819 lagging. Power station B: The reactive power consumed by the load is 155 Mvar. *Round off to two decimal places to every question 15.The active power loss within the interconnector (MW). 16.The reactive power loss within the interconnector (MVar). 17.The final loading of power station A (MVA) and it's angle
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Two balanced Y-connected loads in parallel, one drawing 15 kW at 0.6 power factor lagging andthe other drawing 10 kVA at 0.8 power factor leading, are supplied by a balanced, three-phase,480-volt source.a. Draw the power triangle for each load and for the combined load.b. Determine the power factor of the combined load and state whether lagging or leading.c. Determine the magnitude of the line current from the source.
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