The mechanical power in the above power system is P=1.0 . All values are expressed in per unit. During thunder storm, a lightening strikes the bottom transmission line. Examine the stability of the above power system using equal area approach. (a) Calculate the pre-fault electric power P"? and rotor angle e* ? (b) Calculate the post-fault electric power Pot? and rotor angles er and 0 ? (c) Determine the stability using equal area approach?

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
icon
Concept explainers
Question
**Problem 1 (10 pts)**

The mechanical power in the above power system is \( P_m = 1.0 \). All values are expressed in per unit. During a thunderstorm, lightning strikes the bottom transmission line. Examine the stability of the above power system using the equal area approach.

**System Diagram:**

The diagram shows the following components:

- A generator represented by a circle connected to the ground.
- A transmission line with the following impedances in series:
  - \( j0.20 \)
  - \( j0.20 \)
  - \( j0.30 \)
- The transmission line connects to another generator with an impedance of \( 1.2 \angle \theta \).

**Tasks:**

(a) Calculate the pre-fault electric power \( P_e^{pre} \) and rotor angle \( \theta_s^{pre} \).

(b) Calculate the post-fault electric power \( P_e^{post} \) and rotor angles \( \theta_s^{post} \) and \( \theta_u^{post} \).

(c) Determine the stability using the equal area approach.

*Note: This explanation includes the components of the system setup and the tasks required for analysis without numerical solution.*
Transcribed Image Text:**Problem 1 (10 pts)** The mechanical power in the above power system is \( P_m = 1.0 \). All values are expressed in per unit. During a thunderstorm, lightning strikes the bottom transmission line. Examine the stability of the above power system using the equal area approach. **System Diagram:** The diagram shows the following components: - A generator represented by a circle connected to the ground. - A transmission line with the following impedances in series: - \( j0.20 \) - \( j0.20 \) - \( j0.30 \) - The transmission line connects to another generator with an impedance of \( 1.2 \angle \theta \). **Tasks:** (a) Calculate the pre-fault electric power \( P_e^{pre} \) and rotor angle \( \theta_s^{pre} \). (b) Calculate the post-fault electric power \( P_e^{post} \) and rotor angles \( \theta_s^{post} \) and \( \theta_u^{post} \). (c) Determine the stability using the equal area approach. *Note: This explanation includes the components of the system setup and the tasks required for analysis without numerical solution.*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Fault analysis
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,