4. Three transformers each rated 100KVA, supplies it rated value to a load having a pf of 0.8 lagging. If an induction motor rated 10Hp, 0.8 lagging and 90% efficient is added to the initial load, determine the kvar value of capacitor bank necessary to prevent the overloading of transformers.

4. Three transformers each rated 100KVA, supplies it rated value to a load having a pf of 0.8 lagging. If an induction motor rated 10Hp, 0.8 lagging and 90% efficient is added to the initial load, determine the kvar value of capacitor bank necessary to prevent the overloading of transformers.

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 simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal…

A: In this question we need to find a reactive power consumed by the load in per unit

Q: 2. The synchronous reactance of a three-phase, star connected, 380 V, 50 Hz, cylindrical alternator…

A: You have asked only (d) and (e). Before its calculation we have to calculate the induced voltage.…

Q: Example 32.81. 4 5-kVA distribution transformer has a full-load efficiency at unity p.f. of 95 %,…

A: Solution: Givenη=95% at full load and at unity power factorSrated=5KVAPcu=PironPout=5KW full…

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: The star-connected secondary of a transformer supplies a delta-connected motor taking a power of…

A: Here, Secondary of transformer is star connected, so line current and phase current are same but…

Q: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor…

A: In this question we need to find a KVA rating of shunt capacitor and overall power factor when…

Q: You own a factory that uses several conveyor belts and other motor-driven machineries. Upon…

Q: 2) A single-phase electrical installation, supplied by a voltage of 220V;50Hz, includes in parallel:…

A: Active Power is the time rate of change of energy. Its SI unit is watt. Reactive power is an…

Q: Example 2.5 (H.W):- A single phase transformer with a voltage ratio of 2400:120 V, operates from a…

A: A single phase transformer has voltage ratio of 2400 : 120 V . The primary side supply voltage…

Q: The shown distribution network is to supply two factories A & B with load curves indicated. Assume…

A: Note: We are authorized to answer three subparts at a time, since you have not mentioned which part…

Q: Problem 11.6: Determine the capacitor rating in KVAR and also in farad to improve the load pf from…

A: Given: A power factor of the load is improved from 0.75 lagging to 0.95 lagging in a 3-phase, 60 Hz,…

Q: Problem 1 A 5 hp motor with a 0.60 lagging power factor and efficiency of 92% is connected to 208V,…

Q: A 15 KVA closet transformer lovated inside a building is used to step down the voltage for the…

Q: A generating station has a maximum demand of 25MW, a load factor of 65%, a plant capacity factor of…

A: In this question we will find reserve capacity , daily energy produced...

Q: A load of 500 kVA operates on 1100 V, 50 Hz mains with power factor of 0.6 lagging. It is required…

A: We have an load with, KVA rating = 500 KVA Vs = 1100 V Frequency (f) = 50 Hz Power factor (cosϕ1) =…

Q: 1200kVA, 6600V, 3phase, Y-connected alternator has an effective resistance of 0.4Ω and a reactance…

Q: 10- A 10-KVA, 500/250-V, single-phase transformer has its maximum efficiency of 94 % when delivering…

Q: (b) A supply is to be provided to an industrial estate which has the following daily after diversity…

Q: Q22. Class A chopper is supplying a DC motor with FWD, motor inductance= 6 H & resistance- 12 SN,…

A: a) The maximum value of the load current is equal to : Imax.=VSR1-e-tONτ1+eTτ-ERVs=220 v ,E=5V,…

Q: The net inlet to a factory powered by a 2300 volt infinite bus is measured as 765 A, for a lag 0.92…

A: The solution can be achieved as follows.

Q: In a cold storage, cosφ = 0.9 for 8 various motors, the total power of the motors is 48kW, the…

A: Active power, P=Vicosϕ

Q: A 250 kVA transformer is at full load with a power factor of 0.8 lagging. The power factor is to be…

A: Solution is attached with this notes. Thank you.

Q: Given the following loads, determine the total power (real, reactive and apparent), current and…

A: Total active power = sum of the active power of the individual loads. Total reactive power = sum of…

Q: 14. A 150 kVA transformer bank will serve a load expected to draw 135 kW at 0.80 lagging power…

A: Given data: Load power factor = 0.8 Real power consumed by the load, P = 135 kW Apparent power…

Q: For a 20 KVA, 480/220 V, 60 Hz, single phase transformer. Calculate the phasor load current if the…

A: Given, A single phase transformer with, S=20 KVAV1V2=480220f=60 HzPL=12.6 kWcosϕ=0.881 laggingVL=220…

Q: A 60 Hz ideal transformer is rated at 4800/240 V. A load with impedance Z,=12+ j9Q is connected…

A: for a transformer Turns ratio is primary turnssecondary turns=primary voltagesecondary voltage=…

Q: "A 1000-turns auto transformer, operating in the step-down mode with 50 percent tap supplies a 39.6…

A: Transformer action takes place between two windings of auto transformer. conducted VA=total…

Q: QI: A synchronous motor having a power consumption of 50 kW is connected in parallel with a load of…

A: In this question we have given parallel connected load and combined power factor....We have to find…

Q: A 20 kVA, 480/220, 60 Hz single phase two winding transformer has a generator connected to its…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Q.29: For the ideal transformer circuit shown, find the average power delivered to (1Q) resistor?…

A: First we will apply KCL at node (intersection of 4 ohm and 1 ohm resistor) and than we will find…

Q: three phase energy meter having a meter constant of 0.12rev/kWh is used with a potential transformer…

Q: A single coil 800 turns instrument transformer, operating in the step-downs mode with a 25 percent…

A: Turns ratio of auto transformer = Primary turns/ secondary turns current in load = Load volt…

Q: The shown distribution network is to supply two factories A & B with load curves indicated. Assume…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: A generating station distributes the following loads. 2500KW, 7500KW, 15000KW and 3500KW, The…

Q: An industrial plant consists of several induction motors. The plant absorbs 300 kW at 0.6 PF lagging…

Q: The shown distribution network is to supply two factories A & B with load curves indicated. Assume…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A 20 kVA closet transformer located inside a building is used to step down the voltage for the…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 2. The synchronous reactance of a three-phase, star connected, 380 V, 50 Hz, cylindrical alternator…

A: Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

Q: A generating station has a maximum demand of 55MW, a load factor of 63 %, a plant capacity factor of…

A: In this question load factor , use factor, capacity factor ,maximum demand given....We have to find…

Q: B)Two 450kVA transformers connected in open delta (V-V) supply a 1200kVA balanced load operating at…

A: B. Given data is shown below. Transformer power 450kVA supply 1200kVAto load at power factor 0.85…

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: EA generating station has a maximum demand of 25MW, a load factor of 60%, a plant capacity factor of…

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: A 5hp, 220V, 24.08A, 60 Hz, single-phase induction motor with power factor 0.8 lagging. What…

A: To operate induction motor at unity power factor, the capacitor should supply reactive power…

Q: Example 32.81. A 5-kVA distribution transformer has a full-load efficiency at unity p.f. of 95 %,…

A: In this question we need to find a all day efficiency of the given transformer. To solve this…

Q: The no-load current of a transformer is 20 A at a power factor of 0.20 lagging, when connected to…

A: Given: No load current, Io=20 A Power factor, cosϕ=0.20 lagging

Q: A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal…

Q: carrying? Ans. 10 45 percent 10.44 A 100-KVA transformer is at 80 percent of rated load at power…

Q: Q- 2: pu and serves a load which draws an apparent power of 0.9 pu with 0.8 lagging power factor. If…

A: The transformer can be represented as: Given, V2=1 puZ=0.01+0.1j puSload=0.9∠36.86° pu

Q: ine 201 j60 N Zine 480 0° V

A: None of the given OPTIONS is correct

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

4. Three transformers each rated 100KVA, supplies it rated value to a load having a pf of 0.8 lagging. If an
induction motor rated 10HP, 0.8 lagging and 90% efficient is added to the initial load, determine the kvar
value of capacitor bank necessary to prevent the overloading of transformers.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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 100KVA, 220V, a star-connected alternator is loaded at full load and at 60% pf lagging.The effective AC resistance per phase is 0.01411Ω. If the synchronous reactance is 4.5times the effect of the armature leakage reactance wherein the later is 0.046 Ω perphase, find(a) the phase voltage that would be generated at the load if the circuit were operating normally(b) What no-load open-circuit phase voltage must be present in order to circulate full-load current in short-circuit state while maintaining the same speed and field current?(c) What is the terminal phase voltage of the alternator when it is under a shorted load condition? Give an explanation in support of your response using just one sentence. The IA phasor should be used as the reference one.
2) The net inlet to a factory powered by a 2300 volt infinite busis measured as 765 A, for a lag 0.92 power factor. although mostloads is inductive, the input power factor has been improved by installing asynchronous capacitor operating at its nominal value of 1000 KVA. Determine the factor oforiginal factory power.
A 400-turns auto transformer, operating in the step-down mode with 25 percent tap supplies a 4.8 kVA, 0.85 lagging power factor load. The input to the transformer is 2400 V, 60 Hz. Neglect the small losses and leakage effects. What will be the apparent power(in kVA) conducted and transformed respectively?
An industrial plant is powered with a delta delta system, along with a transformer bank made up of single-phase transformers of 20KVA, 2300/230 V each. The bank supplies a 40 KVA load with a power factor of 0.7 (-). If a damaged transformer is removed for repair, calculate:a) The load in KVA that each transformer has.b) The nominal load of the transformer bank W.
Design a power factor correction circuit with the value of parallel capacitance needed tocorrect a load of 179 kVAR at 0.85 lagging pf to unity pf. Assume that the load issupplied by a 110-V (rms), 60-Hz line.
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.
A 1200kVA, 6600V, 3phase, Y-connected alternator has an effective resistance of 0.4Ω and a reactance 0f 6Ω per phase. It delivers full load current at 0.8 lagging power factor at rated voltage. What will be the terminal voltage for the same excitation and load current, if the power factor is 0.8 leading? Use two decimal places.
In a cold storage, cosφ = 0.9 for 8 various motors, the total power of the motors is 48kW, the synchronicity factor of the facility is 0.70, and for lighting, 8 60W, 2 100W incandescent lamps (cosφ = 1) 4 pieces of 125W, 2 pieces of 250W, 3 pieces of 400W sodium vapor lamps (cosφ = 0,8) are used. Find the power of the distribution transformer to be selected. (Norm transformer powers: 50KVA, 100 KVA, 160 KVA, 250KVA, 400 KVA, 630 KVA, 800KVA, 1250KVA, 1600KVA)
. A power station has a connected load of 48 MW. The energy generated for the year is 61,500 MWh. If the station has a load factor of 35%, solve the demand factor of the station. Answer: 0.4179 or 41.79% Subject: Distribution System and Substation Design
A 15 KVA closet transformer lovated inside a building is used to step down the voltage for the buildinh. It is connected to a primary "Z800" V AC power source. The ratio of the number of primar windings to the number og secondary windings on the transforemer is 60 to 15. 1. what is the voltage provided to the building? 2. What is the amoung of current provided to the building? 3. If the building consymes 3200W of power, what is it's power factor? 4. What is the phase angle of the secondary power source in the building?
When connected to a 120 V (rms), 60-Hz power line, a load absorbs 4kW at a lagging power factor of 0.8. Find the value of Capacitance, C, necessary to raise the power factor to 0.95 lagging.
A 15kVA, 440V, single-phase alternator draws a field current of 5A at rated load. With the same field current, the open circuit emf and short-circuit current are 100V and 80A respectively. The ohmic resistance of the armature between terminals is 0.12 ohm. The ratio of effective to ohmic resistance maybe taken as 1.1. Determine the voltage regulation (in %) when the load is purely resistive.