A three phase, 60 Hz, 60 km long transmission line has series impedance Z=0.1+ j 0.5Ω/ km delivers 40 MVA at 48 kV to a load at its receiving end at 0.9 power factor leading. Find the following 1. ABCD parameters 2. Sending end voltage and current 3. Sending real and reactive power

A three phase, 60 Hz, 60 km long transmission line has series impedance Z=0.1+ j 0.5Ω/ km delivers 40 MVA at 48 kV to a load at its receiving end at 0.9 power factor leading. Find the following 1. ABCD parameters 2. Sending end voltage and current 3. Sending real and reactive power

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 2.13MCQ

See similar textbooks

Related questions

Q: Q3. The ABCD constants of a 3-phase, 345 kV transmission line are A = D = 0.98182 +j 0.0012447 B =…

A: A 3-ph transmission line ABCD parameters are, A = D = 0.98182 + j 0.0012447 B = 4.035 + j 58.947…

Q: Consider a DVR compensated single phase system as shown below. a) Without DVR, find the load…

Q: Question 5: A single-phase transmission line has a resistance of 0.22 ohm and inductive reactance of…

A: Given transmission line is single-phase transmission line. Resistance of the line, R=0.22Ω.…

Q: Q3. The ABCD constants of a 3-phase, 345 kV transmission line are A = D = 0.98182 + j 0.0012447 B =…

Q: 5.1. A 69-kV, three-phase short transmission line is 16 km long. The line has a per phase series…

A: Sending end voltage, VS=VR+IR.R.cos∅R+IR.X.cos∅RVoltage Regulation=VS-VRVR×100Sending end…

Q: 230 kV, three-phase transmission line has a per phase series impedance of z = (0. 05 + j0.45) ΩΩ per…

Q: 4. A 3-phase, 50 Hz, 100 km transmission line has the following constants; Resistance/phase/km = 0-1…

A: As per our policy i have attempted first three part only. Given data: P=20 MW The pi-model is…

Q: A 69 – kV, 3 – phase short transmission line is 16 km long. The line has a per phase series…

A: Given Sending end voltage VS =69 KV Line length l =16 km Series impedance ZS=1.125+j0.4375 Ώ/Km…

Q: For Figure 1: A short 3-phase line with an impedance of (6+j8) per line has sending end and…

A: Ans. Is shown below.

Q: (ii) An 11 kV, 3-phase transmission line has a resistance of 1.5 Q and reactance of 4 2 per phase.…

A: In this question, 3 phase system is supplied to the load. find the voltage regulations, and…

Q: A (medium) single phase transmission line (Islamabad to Kashmir) 100 km long has the following…

A: Given values: The total length of the transmission line=100 Km Resistance/km/phase=0.15 Ω Inductive…

Q: A (Medium) single phase transmission line 100km long has Resistance /kM/phase =0.15 the…

Q: J-RV, J-HZ compensated kample 6.2A 400-Km, as a positive-sequence series impedance z = 0.03 + j0.35…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Example: A 3-6 transmission line 250 km long has the following constants: Resistance/phase/km = 0-16…

A: 3 phase transmission line have parameters Find the sending end voltage and sending end current.…

Q: Q1: The parameters of a three-phase line 200 km long are resistance/km-0.15 0, inductivekm -0.5 and…

A: Length of transmission line is 200 km. Resistance per km is 0.15 So total resistance of line is R=…

Q: A 160-km, 220-KV, 60 Hz three-phase line has a positive-sequence series impedance z= 0.06+j0.7 Ω/km…

Q: Q3. The ABCD constants of a 3-phase, 345 kV transmission line are A = D = 0.98182 + j 0.0012447 B =…

A: In the given question, ABCD parameters A= D= 0.98182+j0.0012447 B= 4.035+j58.947 C= 0+0.0061137…

Q: A balanced load of 30 MW is supplied at 132 kV, 50 Hz and 0·85 p.f. lagging by means of a…

A: The three load Z1, Z2 and Z3 have a similar size and stage point, at that point, the 3 stage load is…

Q: 1. A 230-kV, three-phase transmission line has a per phase series impedance of z = and a per phase…

A: Given 230kV, 3 phase transmission line z=0.05+j0.45ohms per km y= j3/4 *10-6 Siemens per km…

Q: TUTORIAL PROBLEMS 1. A3 phase overhead transmission line has a total series impedance per phase of…

A: In this question we will find sending end line voltage and current for given transmission line...

Q: A 3-phase, 50 HZ, transmission line represented by I-model and having the following parameters, A=…

A: As per the guidelines of Bartley we supposed to answer first three subpart only.

Q: A 69 – kV, 3 – phase short transmission line is 16 km long. The line has a per phase series…

A: Given data, VSL-L=69 kVZ=1.125+j0.4375 ΩL=16 km

Q: 470 kVA load at 12 kV. Its resistance is 7 Ω and inductive reactance is 7 Ω if the load power factor…

A: As we have given: S=470 KVAV=12 KVR=7 ΩXL=7 ΩP.F.R=0.9

Q: A three-phase transmission line has resistance and inductive reactance of 25V and 90V, respectively.…

A: Given:Sending end voltage, VS=145 kVReceiving end voltage, VR=132KVLine resistance, RL=25ΩLine…

Q: A three-phase ring main distributor ABCD, fed from point A and supplies balanced loads as follows:…

A: Distribution network connected in a form of a ring is a ring distribution network in which one…

Q: A single- phase overhead transmission line delivers power of 1 MVA at 11kV at 0.86 power factor…

A: In the single phase overhead transmission line Delivered power 1MVA at 11kV at 0.86 PF Find the…

Q: 1. A 3-phase line having an impedance of (5 + j 20) ohms per phase delivers a load of 30 MW at a…

Q: Determine the sending end voltage, voltage regulation, the sending end power, and the transmission…

A: Voltage regulation The voltage regulation is defined as the measure of change in the voltage…

Q: A 60-Hz short transmission line, having R = 0.62 ohms per phase and L = 93.24 millihenrys per phase,…

A: First we will calculate receiving end load current and than sending end voltage sending end…

Q: A (medium) single phase transmission line 100 km long has the following constants…

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

Q: A single-phase transmission line has a resistance of 0.22 ohm and inductive reactance of 0.36 ohm.…

A: Write the given values. R=0.22 ΩXL=0.36 ΩSR=500 kVAVR=2000 Vpf=0.707 lagging

Q: A 3 phase, overhead transmission line has a total series impedance per phase of 200 ohms and a total…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A single circuit, 60 Hz, three phase transmission line is "" long. The line is connected to a load…

Q: A 3-phase, 50 HZ, transmission line represented by TT-model and having the following parameters, A=…

Q: 3. A 36, 345 kV, 60 Hz, 60 km transmission line has a series impedance z = 0.005 + j0.10 N/km. The…

Q: The parameters of a three-phase line 200 km long are resistance/km= 0.15 2, inductive/km = 0.5 2,…

A: As your question has multiple sub parts we will answer only the first three parts of the question .…

Q: A three-phase, 50 Hz overhead short transmission line has a line-to-line voltage of 11V3 kV at the…

A: The detailed solution is provided below.

Q: a) Line head current, b) Line head voltage, c) Calculate the percent voltage regulation. (Line…

Q: 9.31 A three-phase, 230-kV, 60-Hz, 200-km transmission line has a series impedance 0.10 +j0.35 /km…

A: We use nominal π method to find the given parameters.

Q: 6. A short 3-phase, 34-kV power transmission line delivers a load of 10-MW at a power factor of 0.9…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 9.29 A three-phase, 34.5-kV, 60-Hz, 40-km transmission line has a series impedance a 0.20 + j0.50…

A: In this question , short 3 phase transmission line is given....We have to find out ABCD parameter…

Q: The line-end phase-to-phase voltage of a short three-phase 50Hz transmission line is Ur=31.5 kV.…

A: The line-end phase-to-phase voltage three-phase 50Hz transmission line Receiving end voltage…

Q: A three phase line 30 km long delivers 2000 KVA at 33 kV voltage, 0.707 lagging power factor. If…

Q: Problem 2: An overhead three phase transmission line delivers 5000 kW at 22kV at 0.8 pf lagging. The…

A: Power delivered is given, PR=5000 KW Receiving end voltage, VR=22 KV Power factor, cosφ=0.8…

Q: 2. A 200-km, 230-kV, 60-Hz three-phase line has a positive-sequence series impedance z = 0.07 +…

A: To transmit the power over the long distance, power transmission lines are use .it can be overhead…

Q: The parameters of a three-phase line 200 km long are resistance/km =0.15 , inductive/km=0.5 and…

Q: (b) Supposed a three-phase transmission line is having following parameters. Sending End Voltage,…

Q: A short three phase transmission line of parameters R-0.4Ω and X=0.4Ω is delivering 2000kVA to a…

A: The transmission line performance can be determined by using four parameters namely series…

Q: 2. A single phase overhead transmission line delivers 1100 kW at 33 kV at 0•8 p.f. lagging. The…

Concept explainers

Distribution System

The final stage in the delivery of the electric power is the electric power distribution system. From the transmission system to the individual customers it carries electricity. The distribution system is connected with the transmission system and is used to lower the voltage of the transmission to medium voltage in the range of 2 kV to 35 kV with the help of transformers. This medium voltage to the distribution transformers located near the customer's premises is carried by the primary distribution system lines. These distribution transformers in turn lower the voltage to utilization voltage used in lightings, household appliances, industrial equipments etc. Through secondary distribution lines often several customers are supplied from one transformer. It is through service drops, the commercial and residential customers are connected to the secondary distribution system lines. Customers who demand a larger amount of power can be connected directly to the primary distribution system level or the sub-transmission level.

Question

100%

A three phase, 60 Hz, 60 km long transmission line has series impedance
Z=0.1+ j 0.5Ω/ km delivers 40 MVA at 48 kV to a load at its receiving end at 0.9 power factor leading. Find the following
1. ABCD parameters
2. Sending end voltage and current
3. Sending real and reactive power
4. Power factor at sending end
5. Voltage regulation
6. Efficiency

PLEASE EXPLAIN THE PHASOR MULTIPLICATION. THANK YOU

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 with 2 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

The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load under sinusoidal-steady-state excitation. is (a) Nonzero constant (b) Zero (c) Containing double-frequency components
2. A three-phase transmission line has parameters Xc-6 k 2, R-3.25 2 and X₁-25 92, and delivers 300 MW to a load with both ends of the line at 230 kV. Draw a pi equivalent per-phase circuit of the line. On a per-phase basis, calculate the active power delivered to the load, the reactive power of the line and the active power delivered by the source. Based on these calculations can the equivalent circuit be simplified further?
The VSWR on an 50-Ohm transmission line is 5. The distance between successive voltageminima is 80 cm while the distance from the load to the first minimum is 30 cm. What are thereflection coefficient and load impedance
Paragraph Styles The power factor must be close to in the transmission lines will be reduced To insure that losses D(Ctrl) -
of stion 4 A single phase transmission line is delivering 450 kVA load at 12 kV. Its resistance is 4.5 2 and inductive reactance is 6 2. If the load power factor is 0.9 lagging. Determine the Current through the line Sending end voltage Sending end power factor Regulation of transmission line Efficiency of transmission line A load of 120 MW at a power factor of 0.8 lagging can be delivered by a 3-phase transmission line. The voltage at the intained at 33 kV and the loss in the transmission as 7.5 % of the power delivered. (Consider
A single phase transmission line is delivering 450 kVA load at 12 kV. Its resistance is 4.5 and inductive reactance is 6 O. If the load power factor is 0.9 lagging. Determine the of Current through the line stion Sending end voltage Sending end power factor Regulation of transmission line Efficiency of transmission line A load of 120 MW at a power factor of 0.8 lagging can be delivered by a 3-phase transmission line. The voltage at the intained at 33 kV and the loss in the transmission as 7.5 % of the power delivered. (Consider
1) A 60-Hz, ...-km, three-phase overhead transmission line has a series impedance z = 0.8431L79.04 ohm/km and a shunt admittance y = 5.105 × 106 L90 S/km. The load at the receiving end is 125 MW at unity power factor and at 215 KVLL. Determine the voltage, current, real and reactive power at the sending end and the percent voltage regulation of the line for nominal pi network. (Please determine the length of the transmission line within the specified limits: 150-220 km. By considering the length value you determined yourself, solve the question.)
Problem 4- A large 3-phase industrial load draws 3.6 MVA at 0.85 power factor lagging from through a three- phase 12.47/7.2 kV 3-wire overhead distribution line. The phase conductor is #1 ACSR “Robin". Taking 3.6 MVA and 12.47 kV as base values, determine (a) The base impedance in (N) (b) The reactive power drawn by the load (p.u.) (c) The total current (p.u.) drawn from the power supply
4. A transformer is rated 1000 MVA, 13.8 kV/345 kV with Z=j0.10 pu. If the system base MVA is 500, the corresponding pu impedance becomes (a) j0.10/2 pu (b) j0.10/4 pu (c) j0.10*2 pu (d) j0.10*4 pu 5. Ia, Ib and I, are the three current phasors of a load. For a balanced-load condition, which relation is valid? (a) IF - (Ib + I.) (c) la + I = 1. (d) Ia - I = I. (b) la = I, = Ie
A short single phase transmission line has a loop impedance of (0.2+j1.2) ohm. At what leading power factor the voltage regulation will be zero ?
A 345-kV transmission line has a series impedance of (4 + j60) Q and a shunt admittance of j2 x 10-3 S. Using 100 MVA and the line voltage as base values, calculate the per-unit impedance and per-unit admittance of the line.
an a transmission line has an impedance of 4 j2 Ohms/phase, Find the per-unit impedance of this line on a base of 100 MVA and 20 KV. Select one: O a. None of these Ob. 20-j10 (p.u) Oc 1-0.5 (p.u) O d. 0.5-j1 (p.u)