please solve quickly. Consider the one-line diagram and corresponding reactance diagram of the two-machine systemshown below:EMLineEGLet Xsc - 0.4pu, Xsм —D 0.4ри, Xт1 — 0.1ри, Хт2 — 0.1ри, and X, — 1.2pu(a) Analyze if the system is stable enough in the steady state to deliver 1.2pu power at themotor terminals with rated terminal voltage and 1.0pf.(b) What will be the maximum power that can be delivered if a second line of the same size isused in parallel with the original?

Answered: Image /qna-images/answer/06d8fecf-6cb0-4801-822d-219bdf662035.jpg

Answered: onsider the one-line diagram and…

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.10P

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A Turgo type hydro-electric plant uses a 92% efficiency generator to produce its rated output of 32.5 MW. It was observed during its operation that the mechanical loss is 4.25 MW. Also, from the penstock down to the turbine, 14.3% hydraulic head loss and 8.9% leakage loss occurs which are equally distributed and based on the parameters at the dam. The average elevation from the headrace to the jet centerline is 40 m and from the tailrace to the jet centerline is 4.5 m. compute the following: a. Power by the turbine, kW b. Volume flow rate at the source, m3/s c. Power by the jet, kW d. Mechanical Efficiency, %
Suppose two generators supplying a load. Generator-1 has a no-load frequency of 61.5 Hz and a slopesp1 of 1 MW/Hz. Generator-2 has a no-load frequency of 62 Hz and a slope sp2 of 1MW/Hz. The twogenerators are supplying a real load totaling 2.5 MW at 0.8 PF lagging. Draw the resulting systempower-frequency or house-diagrams. Determine (a) at what frequency is the system operating, andhow much power is supplied by each of the generators? (b) if an additional 0.75-MW load wereattached to this power system. What would the new system frequency be, and how much powerwould the each generator supply now? (c) with the system in the configuration described in part (b),what will the system frequency and generators power be if the governor set points on generator-1 areincreased by 0.5 Hz?
A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the per-unit impedance of the load. Calculate the per- unit current in the line Select one: a. 1.43 A b. 0.569 A c. None of the above d. 2.01
A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the 1/per-unit impedance of the load 2/per-unit current in the line 3/ per-unit real power absorbed by the load
A 6-phase ∆-connected 1600 V (line-to-line), 150 kW, 50 Hz, six-pole induction driveis used in an electric car. The drive has the following parameter values in Ω/phasereferred to the stator:R1 =0.334 Ω R2 =0.168 Ω Rm1 = 125 ΩX1 = 0.273 Ω X2 = 0.287 Ω Xm1 = 16.78 ΩThe total friction, windage, and core losses may be assumed to be constant at Prot =773 W, independent of load. For a slip value of s=0.015: b ) Compute the speed, output torque, power and stator current d) Calculate the efficiency when the motor is operated at rated voltage andfrequency. answer：b) n= 985 rpm; Torque T= 1.18 x104 Nm; Power= 1.22 x106 W; Stator current I = 175.72 /32.79° (d) Efficiency = 86.4%
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A 2-pole, 50 Hz, 11 kV synchronous generator with a rating of 120 MW and 0.87 lagging power factor has a moment of inertia of 12,000 kg- . Calculate the constants H and M A 4-pole synchronous generator supplies over a short line a load of 60 MW to a load bus. If the maximum steady state capacity of the transmission line is 110 MW, determine the maximum sudden increase in the load that can be tolerated by the system without losing stability
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Q2. The O.C.C for a shunt generator at (1000 r.p.m) given by:lf(A) 0.2 0.5 1.0 1.5 2.1 2.4 3 4.2 4.8E(V) 28 72 144 202 245 270 300 345 360The armature resistance equal (0.5 ohm) and shunt field resistance equal (83.33 ohms). If the machine is driven at (1100 r.p.m) find:(a)The load current if the load resistance equal (9 ohms). (b)The number of series winding to convert the machine to level compound at (345 V) at armature .current of (100 A)
a 20MVA, 12.2KV, 0.8 PF lagging Y- connected SG has a negligible armature resistance and syn. Reactance of 8.2Ω, the generator is connected in parallel with a 60Hz 12.2Kv infinite bus that is capable of supplying any real or reactive power with no change in frequency or terminal voltage. A) find the internal generated voltage at rated condition. B) what is the armature rated current. C) suppose that the generator is initially operating at rated condition. If the internal generated voltage is decreased by 5%, what is will be the new armature current?
Find the control ratio, C(s)/R(s) for the system given below using Mason’s Rule.
A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the per-unit impedance of the load. Calculate the per-unit real power absorbed by the load Select one: a. 0.487 b. None of the above c. 0.057 d. 1.253

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