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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?

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**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.*
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