Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13, Problem 13.6P
Consider an air-filled coaxial transmission line having inner and outer radii a and b. (a) Show that skin effect loss in the line is minimized when b/a = 3.6, yielding characteristic impedance
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The length of a transmission line is (1000/3) kilometers. For this transmission line
r=0.15 ohm/km x=0.8 Ohm/km y=5 * 10^-6 S/km
given in the form. At the end of the line (36) MW is drawn and the end-of-line voltage is (220) kV. power factor:
0.95 (back)
a. Assuming the line as a short line, calculate the VS and IS values with their angles.
b. A, B, C, D by accepting the line as a mid-length line and using the "T" model approach.
Calculate the parameters (Vs Is calculation is not needed)
C. Calculate only parameter A, assuming the line as a long line.
Geometric mean radius of a 3-phase transmission line of 422 kV, 220 km length 22 mm dir. The roughness factor of the conductor is 0.82 and the geometric mean length between phases is 11 m. Air pressure along the line is 720 mm Hg and the temperature is 22 ° C. In this transmission line;
a) - Calculate the corona voltage and the voltage at which ionization begins with impingement particles.
b) - Find the total corona loss in the three phase system for the operating voltage with the Peek formula
c) - Find the total corona loss for 1% increase in operating voltage.
Geometric mean radius of a 400 kV, 300 km long three-phase transmission line 20 mm. The roughness factor of the conductor is 0.82 and the geometric mean interphase length is 10 m. The air pressure along the line is 760 mm Hg and the temperature is 23 °C. In this transmission line;
a)- Calculate the voltage at which ionization starts due to impact and the corona voltage. b)- Find the total corona loss in the three-phase system for the operating voltage with the Peek formula. c)- Find the total corona loss for the 10% increase in the operating voltage.
Chapter 13 Solutions
Engineering Electromagnetics
Ch. 13 - The conductors of a coaxial transmission line are...Ch. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Find R, L, C, and G for a two-wire transmission...Ch. 13 - Prob. 13.5PCh. 13 - Consider an air-filled coaxial transmission line...Ch. 13 - Pertinent dimensions for the transmission line...Ch. 13 - A transmission line constructed from perfect...Ch. 13 - Prob. 13.9PCh. 13 - Two microstrip lines are fabricated end-to-end on...
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - For the guide of Problem 13.14, and at the 32 GHz...Ch. 13 - Prob. 13.16PCh. 13 - A parallel-plate guide is partially filled with...Ch. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Two rectangular waveguides are joined end-to-end....Ch. 13 - Prob. 13.21PCh. 13 - Consider the TE11 mode in a rectangular guide...Ch. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.28PCh. 13 - An asymmetric slab waveguide is shown in Figure...Ch. 13 - A step index optical fiber is known to be single...Ch. 13 - Prob. 13.31PCh. 13 - Prob. 13.32P
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 lossless parallel-plate transmission line having a characteristic impedance 50 is terminated with an impedance (40+30) Q at an operating frequency of 200 MHz. The dielectric constant of the insulator is 2.25 and its thickness is 0.4 mm. Find (a) the width w of the metal plates, and (b) the reflection coefficient at the load.arrow_forwardA Three-Phase, 50 Hz, 220 KV Transmission Line consists of conductors of 1.2 cm radius spaced 2 meters at the corners of an equilateral triangle. Calculate the Corona Power Loss per km of the line at a Temperature of 20ºC and Barometric Pressure of 72.2 cm of Hg. Take the Surface Factor of the conductor as 0.96arrow_forwardA 132 kV, three-phase, 50Hz transmission line uses 18 mm diameter, equally spaced conductors. Determine the spacing between these conductors, if it is to be designed such that the corona inception voltage is 5% higher than the normal operating voltage of the line at 40oC. (You may assume the expression relating the electric field and the voltage of the line as a starting point, m=0.9)arrow_forward
- Geometric mean radius of a 400 kV, 200 km three-phase transmission line 20 mm dir. The roughness factor of the conductor is 0.8 and the geometric mean length between phases is 11 m. Air pressure along the line is 700 mm Hg and the temperature is 20 ° C. In this transmission line; a) - Calculate the corona voltage and the voltage at which ionization begins with impingement particles. b) - Find the total corona loss in the three phase system for the operating voltage with the Peek formula. c) - Find the total corona loss for 10% increase in operating voltage.arrow_forwardEstimate the corona loss for a 3-phase, 110 kV, 50 Hz, 150-km-long transmission line consisting of three conductors, each of 10 mm diameter and spaced 2.5 m apart in an equilateral triangle formation. The temperature of the air is 30oC and the atmospheric pressure is 750 mm of mercury. Take the irregularity factor as 0.85. Ionisation of the air may be assumed to take place at a max voltage gradient of 30 kV/cm.arrow_forwardA 300 km long 3-phase transmission line of 154 kV is operated at 60 Hz. The line is on average 1200 m above sea level and instead At 120m, an air outlet decreases by 10 mmHg. Sea free air the dose is 760 mmHg and the puncture strength of the air is 30 kV / cm As it is known, the roughness of the line is 0.89 for the average outdoor temperature of 34 oC, The distance between the conductors is 550 cm and the conductor cross section is 40mm. along the line by calculating the corona voltage and corona discharge voltage calculate the total corona loss that occurred.arrow_forward
- A 3 phase, 50 Hz, 150 km line has a resistance, inductive reactance and capacitive shunt admittance of 0.1Ω, 0.5Ω, and 3 x 106 S per km per phase. If the line delivers 50MW at 110kV and 0.8 pf lagging, Assume a nominal phi circuit for the line determine: a. Sending end current b. Line value of the sending end voltage c. Transmission efficiency d. Voltage regulation e. Sending end power factorarrow_forwardThe diameter of the overhead lines in the form of cylindrical conductors in a 300 kV three-phase transmission system is 20 mm.a) - How much distance should there be between two conductors using the maximum area calculation equations?Calculate. (Puncture peak strength of air is 30kV / cm.)b) - In this configuration, if the distance between phase conductors is 0m, at what voltage levelCalculate the discharge occurs?c) - Maximum electric field in the same configuration, for electrode distances to be 0mCalculate the value. If needed in calculations Ꜫ0 = 8.854x10-12 F / m)arrow_forward. A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart. (b) Compute the input impedance using the transmission line input impedance equation 50 Ω line is terminated with an impedance of ??= (90 – j120) Ω. Design a shortcircuited single stub matching circuit using Smith chart that is providedarrow_forward
- 1. We have a two-wire overhead transmission line, powered by a constant voltage source of 700 V. The values for the inductance of the conductors are 2.348x10-3 H/km and the capacitance values are 6.325x10-9 F/km. Assuming an ideal (lossless) line and its length of 130 km, determine the speed at which it propagates. PLEASE MAKE IT DIGITAL BECAUSE HAND WRITING GETS UNDERSTANDINGarrow_forwardA Three-Phase, 180 KV, 75 Hz Transmission Line consists of 1.2 cm radius conductors spaced at 2.4 meters apart in an equilateral triangular formation. If the Temperature is 40 ºC and Atmospheric Pressure is 76 cm of Hg, calculate the Corona Loss per km of the line. Take m0=0.8arrow_forwardHigh Voltage Technique A line with a 500 km long double strand (n=2) conductors (partial conductor spacing d=40 cm, partial conductor radius r=14 mm) U=380 kV, horizontally located (span between conductors a=7m) , a) Calculate the geometric mean radius of a phase and the geometric mean distance between phases. b) Calculate the maximum field strength. c) Calculate the inductance, capacity and characteristic impedance of the line.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
How do Electric Transmission Lines Work?; Author: Practical Engineering;https://www.youtube.com/watch?v=qjY31x0m3d8;License: Standard Youtube License