A supply system feeds the following loads, a load of 462000 W at a power factor of 0.74 lagging and synchronous motor input of 681000 W. Calculate the power factor of the synchronous motor so that the station power factor may become unity.

A supply system feeds the following loads, a load of 462000 W at a power factor of 0.74 lagging and synchronous motor input of 681000 W. Calculate the power factor of the synchronous motor so that the station power factor may become unity.

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 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...

See similar textbooks

Related questions

Q: A single phase a.c. generator supplies the following loads: Lighting load of 20 kW at unity power…

Q: A synchronous generator, with synchronous reactance of 4 ohm, is connected directly to an infinite…

Q: A 3-phase, 420 V, 60 Hz, Y-connected synchronous generator, with a synchronous reactance of 1.20 Ohm…

A: As we have given: VL=420 Vf=60 HzXs=1.2 ΩZs=j1.2 Ωδ=30°Pout=110 kW Step 1: Find E As we know that,…

Q: Example synchronous reactance of 0 + j20 2 per phase. A 500 kVA, 3-phase, 6.6 kV, star-connected sy…

A: Given P=500 kVA V= 6.6 kV xs =20 ohm

Q: 3. A 100KVA, 220V, star connected alternator is loaded at full-load and at 60% pf lagging. The…

A: Given, rating=100 kVAVph=VL3=2203 =127.01 VWe know in star connectionIL=Iph and…

Q: A proposed station has the following daily load cycle: Time in hours 6–8 8–11 11–16 16–19 19–22…

Q: • Zh = 100 ohm • Draw the pu reactance diagram by taking Ut(base) = 132kV, St(base) = 100MVA. If…

A: Zh = 100 ohm Draw the pu reactance diagram by taking Ut(base) = 132kV, St(base) = 100MVA. If the 33…

Q: A 200 V per phase synchronous machine with resistance and synchronous reactance per phase of 1 Q and…

A: Given values are - Power factorcosϕ=1R=1ohmX=8ohmVt=200∠0oVoltI=10∠0oA

Q: 4. Two alternators A and B are in parallel and supplying a 600- V,60 Hz bus load consisting of a 270…

Q: In an energy transmission system with a power value of 100 MVA and a power coefficient of 0.8…

A: Given, power = 100 MVA Power coefficient = 0.8 reverse Capacitor power = 40 MVAR

Q: A load of 10,000 KVA, 85% power factor lagging is connected to a 13,200 volt line. How much reactive…

Q: Q1 (a) A high voltage 3 phase induction motor operating at rated power can be represented by a…

Q: A load of 10,000 kVA, 80% lagging is connected to a 13,200 volts line. How much capacitive reactive…

A: Evaluating the real related in the circuit:

Q: Synchronous Motor Power Correction The synchronous motor using 150-kilowatt real power so we have to…

A: Given: Synchronous motor is using 150 kW real power.

Q: An industrial plant has an average load of 2,000KW at 0.6 lagging power factor. A synchronous motor…

A: Find the individual active and reactive power of load and that from source . Then obtain the…

Q: For a power station, the yearly load duration curve is a straight line from 40,000 to 3000 kw. To…

Q: 1. A 3phase induction motor load draws a power of 13.33 KVA at 0.75pf from 460V source. If a…

Q: Q1. The yearly load duration curve of a certain power station can be approximated as a straight line…

A: As per Bartleby guidelines we are allowed to solve only one question,please ask the rest again. The…

Q: Two alternators A and B are in parallel and supplying a 600-V,60 Hz bus load consisting of a 270…

Q: A generating station has a maximum demand of 20MW,a load factor of 60%, a plant capacity factor of…

Q: A 6.6 kV, 3-phase, star-connected turbo-alternator of synchronous reactance 0.5 ohm/phase is ap-…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: An industrial site (3-phase 415V) has the following loads: (i) Lightings of 150kW in total (ii) Two…

Q: A 100KVA, 220V, star connected alternator is loaded at full-load and at 60% pf lagging. The…

A: Given: A 100KVA, 220V, the star-connected alternator is loaded at full-load and at 60% pf lagging.…

Q: Q3: For the following figure, select the generator rating as base to find the voltage at the…

Q: A generating station has two 50 Mw units each running for 8,500 hours in a year and one 30 Mw unit…

Q: A three phase, 600kVA, 3.3kV star connected S.G having ????= 0.41Ω/phase. Find the synchronous…

A: S=600 kVAVs=3.3 kVReff=0.41 Ω/phasevoltage increased by 5 %

Q: 8. Calculate the continuous power that will be available from hydroelectric plant having an…

Q: A power station has a daily load cycle as follows: 260 MW for 6 hrs, 200 MW for 8 hrs, 160 MW for 4…

Q: average power factor of 0.6 lagging. Neglecting all losses; Calculate: a) the KVA input to a…

Q: A synchronous generator.connected to 1.0 per unit voltage infinite bus has 0.8 per unit reactance.…

Q: Q1. The yearly load duration curve of a certain power station can be approximated as a straight…

A: Given 2 generators of 20 MW 1 generators of 10 MWMaximum load=80 MWMinimum load=40 MW

Q: A synchronous generator, capable of developing 500mW power per phase. Operates at a power angle of 8…

A: The transient stability of the Synchronous generator connected to the bus is analyzed by equal area…

Q: A TRIAC phase control circuit has a load resistance of 71 and is powered by an AC source of 163…

Q: Problem 2 The circuit diagram of a certain load is presented below. Determine the following: a. The…

A: The circuit diagram of a certain load is presented below. Determine the following: a. The power…

Q: 8. The governor droop characteristics of two 300 MW and 400 MW alternators appearing in parallel are…

A: For the given data frequency at which total load will be 600MW is determined

Q: The yearly load duration curve of a certain power station can be approximated as a straight line;…

A: The solution can be achieved as follows. One of the value in the answer given with question is…

Q: The effective resistance and synchronous reactance of a 400 kVA, 3-phase, 440 V, star connected…

Q: 2. A 400-V, 3-phase induction motor load takes 900 kVA at a power factor of 0.707. Calculate the kVA…

A: Case I S= 900 KVA PF1= 0.707 PF1 = cos ϕ1 = 0.707 Φ1= 45° Real power P1 = S * PF1 = 900k * 0.707 =…

Q: It is desired to purchase a synchronous condenser to correct the 2,400-KVA 0.67-lagging power factor…

A: The synchronous motor is a constant speed AC electric motor, the speed of the motor is equal to the…

Q: For a power station the yearly load duration curve is a straight line from 40,000 to 3000 kw. the…

A: In this question we will find load factor, capacity factor and maximum demand.....

Q: A single phase motor draws 20 kVA at 0.70 lagging power factor from a 120 V source. The PUD desires…

Q: A 3 phase mesh-connected AC generator has a power angle of 15.4 degrees and synchronous impedance of…

A: The solution is given below

Q: Synchronous Motor Power Correction The synchronous motor using 150-kilowatt real power so we have to…

A: The given circuit is: Synchronous motor is using 150 kW real power. Voltage VL=480 V

Q: A manufacturing plant takes 200 kW at 0.6 power factor, from 600 volts, 60-cycle 3 phase system. It…

Q: 3-phase induction motor load takes 900 kVA at a power factor of 0.707. Calculate the KVA rating of…

A: Given data: KVA Rating, S=900 kVAInitial Power factor cos ϕ1=0.707ϕ1=cos-10.707=450

Q: Q41-Q45 refer to the information below: A 6 kV, 3-ph industrial plant bus is supplied from the…

A: Given that, Supply voltage V= 6 kV. 1. Rating of induction motor =2000 hp, motor operates at 85% of…

Q: A synchronous generator connected directly to an infinite bus is generating at its maximum real…

A: Given: - Line to line voltage V = 420 V Phase excitation voltage Ea = Power delivered P = 676 KW

Q: B) A generating station supplied the following loads: 150 MW, 120 MW, 85 MW, 60 MW, and 5 MW. The…

Q: A 220 V (line), three-phase, Y-connected, synchronous motor has a synchronous impedance of (0.25 +…

A: For Synchronous motor, the internal voltage is given as:

Concept explainers

Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A 400-V, 3-phase induction motor load takes 900 kVA at a power factor of 0.707. Calculate the KVA rating of the capacitor bank to raise the resultant power factor of the installation of 0.866 lagging. Find also the resultant power factor when the capacitors are in circuit and the motor load has fallen to 300 kVA at 0.5 power factor.
A manufacturing plant takes 200,000 Watts, at 0.6 power factor. Form a 600 V, 60 Hz, three phase system. It is desired to raise the power factor of the entire system to 0.9 by means of a synchronous motor, which at the same time is to drive a direct current shunt motor generator, requiring that the synchronous motor take 80,000 watts form the line. What should be the rating of the synchronous motor in volts and amperes?
It is desired to purchase a synchronous condenser to correct the 2,400-KVA 0.67-lagging power factor load in an industrial plant to 0.95 lagging. Neglect losses, calculate: (a) the kilovolt-ampere input rating of the required synchronous condenser; (b) the total kilovoltamperes of the plant. Using the phasor diagram.
A 3-phase ,13500V, star connected alternator is rated at 1600kVA. The armature effective resistance and synchronous reactance are 1.5 ohm and 30 ohm respectively per phase. Calculate the percentage regulation for a load of 1280kW at 0.8 power factor lagging
Electromechanical energy conversion (One AC induction motor and one AC synchronous motor were operated connected to an infinite bus of 600V. Power factor of the induction motor is 0,7 (lagging) and consumes 400 W from the bus. Synchronous motor consumes 300 W from the bus. If the power factor of the synchronous motor is 0,9 (lagging) find the line current from the bus, for the total of two motors (IL total 1) of the line that connects the motors with the bus and find the total appearent power (SL total 1) of the motors consumed from the bus. When the induction motor has the same conditions, if the power factor of the synchronous motor is 0,9 (leading) find the line current from the bus, for the total of two motors (IL total 2) of the line that connects the motors with the bus and find the total appearent power (SL total 2) of the motors consumed from the bus.
synchronous generator operating under steady conditions supplying a load current I0to the bus at a terminal voltage of V0. E, is the induced emf under loaded condition and Xa is the direct axis synchronous reactance of the machine. Draw the equivalent circuit model of the system.
The power factor of a load of 400kW is 0.4 lagging. It is desired to improve this power factor to 0.7 lagging by using the over excited synchronous motor. If the synchronous motor takes 70 kW,find, 1.Power factor of synchronous motor 2.Leading kVAr of synchronous motor 3.kVA of synchronous motor.
Two alternators A and B are in parallel and supplying a 600-V,60 Hz bus load consisting of a 270 kVA unity power factor load a group of induction motors totaling 420 kVA at 89.4 percent power factor and a synchronous motor that draws 300kVA at 92.3 percent power factor leading. If the machine A is carrying 60 percent of the total active power load at a power factor of 70.4 percent lagging, determine the active and reactive components supplied by machine B.
A three-phase synchronous generator has a synchronous reactance of 50 Ω/phase. It is connected to an infinite bus of line voltage 15,000 V , and it develops a total power of 5 MVA supplying with unity pf. If the armature voltage of the generator is increased by 15%, while the input power to the generator remains constant, determine the new power factor and the apparent power supplied to the grid.it supplies to the network.
A 3-Phase 10Kva, 400 V, 50Hz star connected alternator supplies a rated load at 0.8 power factor lagging. If the armature resistance per phase is 0.5Ჲ and the synchronous reactance is 10Ჲ, using the e.m.f method, estimate the alternator’s voltage regulation
A manufacturing plant takes 200 kW at 0.6 power factor, from 600 volts, 60-cycle 3 phase system. It is desired to raise the power factor of the entire system to 0.9 by means of a synchronous motor, which at the same time to drives a dc generator, requiring that the synchronous motor take 80 kW from the line. What should be the reactive power in KVAR of the synchronous motor?
three phase star connected alternator is rated at 1600kVA, 13500V. The armature resistance and synchronous reactance are 1.5 ohm and 30 ohm respectively per phase. Calculate the percentcage regulation for a load of a 1300 kW at leading power factor.