1)"A Y-connected 3-phase, 6-pole synchronous generator is connected to aninfinite bus in the power system. The line-to-line bus voltage is 27.6 kV. The synchronousreactance of the generator is 42. When the excitation of the generator is adjusted so that theline-to-line back EMF is 30 kV, the generator delivers 100MW of real power to the bus.a) Draw a figure of the circuitb) What is the mechanical speed of the generator in RPM? What is the mechanical angularvelocity of the generator?c) What is the power angle of the generator?d) Write the current of the generator in phasor forme) What is the reactive power produced by the generator?f) What is the power factor of the generator?

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Answered: 1) "A Y-connected 3-phase, 6-pole…

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

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.48P

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b) Two synchronous generators, G2 and G2, are connected parallelly supplying a load. Generator G1 has a no-load frequency of 50.5 Hz and a slope of 300 MW/Hz. Generator G2 has a no-load frequency of 50.2 Hz and a slope of 500 MW/Hz. The load consumes 250 MW real power. (1) At what frequency does this system operate, and how much power is supplied by each of the two generators? (ii) An additional 100 MW load is added to this power system. What is the new system frequency, and how much power do G1 and G2 supply? (iii) The governor set point of G2 is changed to control system frequency back to 50 Hz. Determine the G2 governor set point.
two alternators A and B having 5% speed regulation are working in parallel at a station. Alternator A is rated at 15 MW while B is at 20 MW. When the total load to be shared is 12 MW, then how much of the load will be shared by the alternator B?
5. Two 75 MVA 3-phase alternator are connected in parallel. The speed load characteristic of the first generator is 2% from no-load to full load while that of the second alternator is 3% from no-load to full load. The machines are fully loaded when the load is 150 MVA. If the load is reduced to 80 MVA. Calculate the load carried by each machines?
synchronous generator threewThe phases are rated at 1000 kVA and operate at a voltage of 6.6 kV. The product resistance per phase is 0.38 ohms and the leakage reactance is 0.5 ohms per phase. The generator works to provide full load at a power factor of 0.85 delayed and at normal voltages. Find the value of the no-load voltage.
A 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 B
Do b)?
7. An inductive load is shared by two identical synchronous generators A and Bequally, if the excitation of alternator A is increased. (a) Alternator A will deliver more current and alternator B will deliver less current. (b) Alternator B will deliver more current and alternator A will deliver less current. (c) both will continue to deliver same current. (d) both will deliver more current.
Two three-phase, 6.6 kV, Y-connected synchronous generators are operating in parallel to supply a load of 3000 kW at 0.8 power factor lagging. The synchronous reactance per phase of machine A is j10 2, while that of machine B is j12 Q (winding resistance and losses are negligible). The excitation of machine A is adjusted so that it delivers 150 A at a lagging power factor, and the governors that control the input torque of the generator prime movers are set such that the load is shared equally between the two machines. Determine the following for each machine: the armature current; а. i. the power factor; the excitation voltage, Ef; and, the power angle. ii. iii. iv. Neatly sketch a phasor diagram for machine A, taking the terminal voltage as the reference. Ensure all phasors are labelled, and all angles indicated. b.
true or false ( answer with brief explanation ) a. The diversity in the maximum load between different loads improves the overall system load factor. b-In synchronous generators, the excitation system maintains generator voltage and controls the reactive power flow.
(b) A three-phase A-connected synchronous generator is rated at 120 MVA, 10.5 kV, 0.85 PF leading and 60 Hz. Its synchronous reactance is 1.4 N, and its resistance may be ignored. Analyse the voltage regulation of this generator.
A generator feeds power to an infinite bus through a double circuit transmission line. A 3 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 p.u. The 100 MVA generator has an inertia constant of 5mJ/MVA and it was delivering 1.0 p.u. power prior of the fault with rotor power angle of 30°. The system frequency is 50 Hz. If the initial accelerating power is X pu, the initial acceleration in elect dag / sec, and the inertia constant in MJ - sec / elect deg respectively will be

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