The line in Problem 5.14 has three ACSR 1113 kcmil conductors per phase. Calculate the theoretical maximum real power that this line can deliver and compare with the thermal limit of the line. Assume VS= VR = 1.0 per unit and unity power factor at the receiving end. Problem 5.14 is the following in the picture.
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
The line in Problem 5.14 has three ACSR 1113 kcmil conductors per
phase. Calculate the theoretical maximum real power that this line can
deliver and compare with the thermal limit of the line. Assume VS= VR =
1.0 per unit and unity power factor at the receiving end. Problem 5.14 is the following in the picture.
![### Problem Statement (5.14):
A 500-km, 500-kV, 60-Hz, uncompensated three-phase line has a positive-sequence series impedance \( z = 0.03 + j0.35 \) \(\Omega/km\) and a positive-sequence shunt admittance \( y = j4.4 \times 10^{-6} \) S/km. Calculate:
(a) \( Z_{oc} \)
(b) \( \gamma l \)
(c) The exact ABCD parameters for this line.
### Explanation:
- **Positive-sequence series impedance (\(z\))**: This is the impedance per unit length of the transmission line, which affects the phase voltage and current along the line. Here, \( z = 0.03 + j0.35 \) \(\Omega/km\).
- **Positive-sequence shunt admittance (\(y\))**: This is the admittance per unit length, representing line susceptance affecting reactive power. In this problem, \( y = j4.4 \times 10^{-6} \) S/km.
- **Transmission line parameters to be calculated**:
- **\( Z_{oc} \)**: The open-circuit impedance of the line.
- **\( \gamma l \)**: The propagation constant times the length of the line, where \(\gamma\) is the propagation constant.
- **ABCD parameters**: These parameters represent the relationship between the sending end and receiving end voltages and currents in the transmission line.
### Diagrams and Graphs:
None provided with the problem statement.
### Notes:
- The properties provided are specific to the positive sequence components, which are standard in analyzing balanced three-phase lines.
- The propagation constant (\(\gamma\)) and characteristic impedance are critical in determining the performance and design of long transmission lines.
This problem appears in the context of electrical engineering, specifically in power system analysis, and is essential for understanding the behavior of power transmission lines. The calculations derived from the provided data are crucial for line design and performance evaluation in electrical power systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F957e7305-5932-4b10-adf9-36c06c8b0967%2F4e13f8e3-14b3-4e8c-b168-cdbe85fa25e9%2F6r0hrc_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 35 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)