Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question
Figure shows a generator connected to a metropolitan system (infinite bus) through high
voltage lines. The numbers on the figure indicate the reactances in p.u. Breakers adjacent to a
fault on both sides are arranged to clear simultaneously. Determine the critical clearing angle
for the generator for a 3-phase fault at the point P when the generator is delivering 1.0 p.u.
power. Assume that the voltage behind transient reactance is 1.2 p.u. for the generator and
that the voltage at the infinite bus is 1.0 p.u.
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- A generator feeds power to an infinite bus through a double circuit transmission line. A3 phase fault occurs at the middle point of one of the lines. The infinite bus voltage is 1 pu, the transient internal voltage of the generator is 1.1 pu and the equivalent transfer admittance during fault is 0.8 pu. The 100 MVA generator has an inertia constant of 5MJ/MVA and it was delivering 1.0 pu power prior of the fault with rotor power angle of 30 °. The system frequency is 50 Hz. The initial accelerating power (in pu) will bearrow_forwardA 600 KVA generator with X"a = 0.22 per unit is connected to a bus through a circuit breaker, as shown in the following figure. Connected through circuit breakers to the same bus are three synchronous motors rated 200 KVA, 2.5 KV, 1.0 power factor, with X"a = 0.15 per unit. The motors are operating at full load, unity power factor and rated voltage, with the load equally divided among the machines. (a) Find the rated symmetrical short-circuit current in Amperes, which must be interrupting breakers A and B for a fault at point P. Simplify the calculations by neglecting the Prefault current. M. GHA Barrow_forwardH.W Q1) A four pole, three-phase synchronous generator is rated 250 MVA, its terminal voltage is 24 kV, the synchronous reactance is: 125%. ERI • Calculate the synchronous reactance in ohm. Calculate the rated current and the line to ground terminal voltage. Draw the equivalent circuit. • Calculate the induced voltage, E., at rated load and pf = 0.8 lag.arrow_forward
- A generator is connected through a transformer to a synchronous motor as shown in the following figure. (All values in this problem are per unit.) Before the fault V,=0.9,1=1 with power factor 0.8 lagging. jX, P + jX ds jX" dm + E. E The reactances are Xd=0.15 , X,=0.1 , X âm=0.35. A symmetric fault occurs at P. Find the per-unit current magnitudes in the fault, the generator and the motor (a) using subtransient voltages. (b) using a Thevenin equivalent.arrow_forwardCalculate the per unit impedance of a three-phase generator with a power rating of 900 KVA and voltage rating of 33 KV. The generator has an armature resistance of 40 Ohms per phase and a synchronous reactance of 140 Ohms per phase.arrow_forward
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