If the armature resistance of a 3-phase, 318.75 kVA, 2
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If the armature resistance of a 3-phase, 318.75 kVA, 2300-V synchronous generator is 0.35 ohms per phase, the synchronous reactance is It is 1.2 ohms. Calculate the excitation voltage and voltage regulation for the following load cases:
a) Full load, back power factor of 0.8 and rated voltage.
b) Full load, forward power factor of 0.6 and rated voltage.
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- A 70-MVA, 69.3-kV, three-phase round-rotor synchronous generator has a synchronous reactance of 14 ohm per phase and negligible armature resistance. 1) The generator is delivering rated power at 0.87 power factor lagging at the rated terminal voltage to an infinite bus bar (Fig. 1). Determine the magnitude of the generated emf per phase and the power angle δ. 2) The generator is delivering 53.5 MW to the bus bar at the rated voltage with its field current adjusted for a generated emf of 46 kV per phase. Determine the armature current and the power factor. Is the power factor is lagging or leading? 3) Given that the generator is operating at the excitation voltage of Part (1), determine the maximum steady-state power which the machine can deliver without losing synchronism. Find the armature current corresponding to this maximum power.2.A 10-MVA 4.6-kV 60-Hz 6-pole three phase synchronous generator has armature resistance of 2 ohms and synchronous reactance of 6 ohms. It is operated at rated frequency to supply rated load at rated voltage at a power factor of 0.9 lagging. Assume mechanical losses are negligible. a.Determine the magnitude of the line-to-line excitation voltage. b.Determine the input power for the generator, in MW. (Please compute in W or kW before converting to MW)A three-phase Y-connected synchronous generator has rated values of 90 MVA, 15 kV, 0.6 reverse power factor, 50-Hz. Synchronous reactance 1.6 ohmsand armature resistance is neglected. According to thisa) Find the induced voltage (EA) and armature current (LA). b) Find the voltage regulation.c) If this generator was operated at 60 Hz with the same armature and field losses as at 50 Hz; What would be the voltage, apparent power and reactance of the generator
- EMachines A 100 MVA, 11.5 kV 0.8 pf lagging 50-Hz two pole Y-connected synchronous generator has a per-unitsynchronous reactance of 0.8 and per-unit armature resistance of 0.012. A. What is its synchronous reactance and armature resistance in ohms?B. What is the magnitude of the internal generated voltage at the rated conditions? What is its torque angleat these conditions?C. Ignoring losses in this generator, what torque must be applied to its shaft by the prime mover at fullload?Open circuit tests carried out on a 3.5 MVA, 4.16 kV, 60 Hz, three phase star connected synchronous generator gave the following results:If (A):1015202530EL (kV):3.54.165.76.257.95In the short circuit test a field current of 20A was needed to circulate full load current. The armature winding resistance is 1.2Ω /phase, the field winding resistance is 500 Ω and the rotational loss is 250kW. Determine the power angle, the voltage regulation and the efficiency when the generator delivers rated load at terminal voltage of 4.4 kV and at 0.8 power factor leading.Draw the power flow diagram for the generator and include all values of power flows.A 20 kW, 440-V, short-shunt, compound d.c. generator has a full-loade fficiency of 87%. If the resistance of the armature and interpoles is 0.4Ω and that of the series and shunt fields 0.25 Ω and 240 Ω respectively, calculate the combined bearing friction, windage and core-loss of the machine. [Ans. 725 W]
- The following information is given for a Long Shunt connected Flat Compound Generator: Power rating = 100KW; Terminal voltage = 250 volts ; the shunt field winding resistance = 125 ohms; the armature winding resistance = 0.3 ohm; series field winding resistance = 0.13 ohm; the diverter resistance = 0.11 ohm. Calculate the power generated by the generator when it is, delivering power to the load at its rated or full-load value. delivering power to the load at half full-load or half rated valueThe magnitude of the no-load, line-neutral voltage induced on the ‘a’-phase stator windings of a synchronous 3? generator is |?a | = 480 V. Presume the stator winding resistance is negligible, and that the synchronous reactance is ?௦ = 1.1 Ω. The full-load, per-phase current magnitude for the generator is 30 A at a power factor of 0.8 leading . For these conditions: a. What is the line-neutral ‘a’-phase terminal voltage, ?థ? b. What is the power angle (?)? c. What is the percent voltage regulation? d. What is the total 3? complex, real, and reactive power delivered to the load?A three-phase, Y-connected, 220 V, 5 kVA, salient-pole synchronous generator is employed to supply power to a load with unitary fp. By means of a slip test, the direct-axis synchronous reactance is determined to be 12 Ω and the quadrature-axis synchronous reactance, 7 Ω. Consider that the rated current is delivered to the load at the rated voltage and that the armature resistance is negligible. (a) Calculate the corresponding value of the excitation voltage. (b) What is the value of the internal phase shift angle? (c) What is the value of the power angle?
- A three phase, 50 Hz, 4800V, 6 pole Y-connected synchronous generator connected to an infinite bus (constant voltage at 4800V) and has synchronous reactance of 20Ω per phase and negligible armature resistance. The generator is delivering 1 MW at a power angle of 30 degrees.. Calculate the following:1. Output torque of the generator2. Excitation voltage Ea3. Armature current4. Power factor5. Reactive power deliveredIn a three-phase, Y-connected, 750-kVA, 1732-V, synchronous generator afield current of 20 A at the rated speed produces a current of 300 A onshort circuit and a voltage of 1732 V on open circuit. The resistance betweenany two terminals of the generator is 0.8 R. Determine the synchronousreactance of the generator. The rotational loss is 20 kW. Using the per-unitsystem, determine the voltage regulation and the efficiency of the generatorwhen it delivers the rated load at its rated voltage and unity power factor.A 60 MVA, 69.3kV, three-phase synchronous generator has a synchronous reactance of 15 ohms/phase and negligible armature resistance. The generator is delivering rated power at 0.8 power factor lagging at the rated terminal voltage to an infinite bus bar. What is the maximum three-phase power that can be generator can deliver before losing its synchronism?