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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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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b) i) E 1.3127/23.33° Pmax e,pre 2.5244 p. u. 5⁰ = 0.4073 rad ii) 6¹ = 0.44747 rad iii) Scr= 115.89° rad iv) ter = 0.0162 sec
Transcribed Image Text:b) i) E 1.3127/23.33° Pmax e,pre 2.5244 p. u. 5⁰ = 0.4073 rad ii) 6¹ = 0.44747 rad iii) Scr= 115.89° rad iv) ter = 0.0162 sec
b) For the power system of Figure Q4.1, all per unit quantities have been calculated using a common base. The generator delivers power P = 1 p. u. at a lagging power factor of cosp = 0.93. XG = 0.3 p. u. X7 = 0.1 p.u. i) ii) G iv) X12 = 0.2 p.u. X13 = 0.1 p.u. X23 = 0.2 p.u. PO Voo Figure Q4.1 Calculate the internal voltage of the generator, the maximum electrical power that the generator can deliver to the system during the steady state operation and the steady state rotor angle, 80, of the generator. A three-phase fault occurs at busbar 3 and it is cleared by simultaneously disconnecting lines 13 and 23. Following the fault clearing, the system continues to operate with only line 12 in service. Determine the new steady state rotor angle, 8₁, of the generator and the maximum power the generator can deliver to the system post fault. Assuming that the post fault condition is small disturbance stable and that there is no negative interaction among system controllers, calculate the critical clearing angle, Scr, at which the fault should be cleared to ensure the generator reaches a new steady state operating condition defined by 8₁. /sec² If the rate of acceleration of the rotor during the fault is Cacc = 39rad/s calculate the corresponding critical clearing time of the circuit breakers.
Transcribed Image Text:b) For the power system of Figure Q4.1, all per unit quantities have been calculated using a common base. The generator delivers power P = 1 p. u. at a lagging power factor of cosp = 0.93. XG = 0.3 p. u. X7 = 0.1 p.u. i) ii) G iv) X12 = 0.2 p.u. X13 = 0.1 p.u. X23 = 0.2 p.u. PO Voo Figure Q4.1 Calculate the internal voltage of the generator, the maximum electrical power that the generator can deliver to the system during the steady state operation and the steady state rotor angle, 80, of the generator. A three-phase fault occurs at busbar 3 and it is cleared by simultaneously disconnecting lines 13 and 23. Following the fault clearing, the system continues to operate with only line 12 in service. Determine the new steady state rotor angle, 8₁, of the generator and the maximum power the generator can deliver to the system post fault. Assuming that the post fault condition is small disturbance stable and that there is no negative interaction among system controllers, calculate the critical clearing angle, Scr, at which the fault should be cleared to ensure the generator reaches a new steady state operating condition defined by 8₁. /sec² If the rate of acceleration of the rotor during the fault is Cacc = 39rad/s calculate the corresponding critical clearing time of the circuit breakers.
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