A 10-kVA, 380-V, 60-Hz, 2-pole, three-phase, Y-connected, synchronous generator delivers the rated load at 0.8 pf lagging. The synchronous impedance is 1.2 + j4 Ohm/phase. Determine (a) the synchronous speed, (b) the generated voltage per phase, (c) the power angle, (d) voltage regulation, and (e) the efficiency if the rotations loss is 1 kW.

A 10-kVA, 380-V, 60-Hz, 2-pole, three-phase, Y-connected, synchronous generator delivers the rated load at 0.8 pf lagging. The synchronous impedance is 1.2 + j4 Ohm/phase. Determine (a) the synchronous speed, (b) the generated voltage per phase, (c) the power angle, (d) voltage regulation, and (e) the efficiency if the rotations loss is 1 kW.

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

Chapter11: Transient Stability

Section: Chapter Questions

Problem 11.1P

See similar textbooks

Similar questions

A 760-kVA, 2300-V, three-phase, Y-connected, synchronous generator is operated at its rated speed to obtain its rated no-load voltage. Later, another test finds that the short-circuit phase current is 128A. The average resistance of each phase is 0.56 ohm. 1) Determine the synchronous reactance per phase. 2) Determine the voltage regulation when the generator delivers the rated load at its rated voltage and 0.75 PF lagging.
QUESTION 1:- (a) A 4-pole, 3-phase, star-connected, 50 Hz synchronous generator, with a synchronous impedance of j24.5 Ω/phase and negligible resistance, delivers 5 MW of power to a 13.8 kV busbar. At this operating point, the excitation is equal to 1.8 p.u. Calculate the phase value of the generated emf (E) and hence calculate the electrical load angle, δ, at which the machine is operating. (b) Sketch a typical operating chart for a salient pole synchronous generator and on the chart identify the following; The Apparent Power limit, The field (excitation) limit, The Real Power limit, A line which represents a constant lagging power factor, The rotor angle for operation at any given point of operation, e.g. rated power and 0.9 power factor lag. (c) A Stamford HCI534F framesize generator has been selected for a stand-alone diesel-generation application. The generator is to operate at 400 V, 50 Hz, with the self-excited (SX) excitation scheme. Datasheet information can be…
A 400V, 50Hz, Y-connected, 4-pole synchronous generator has a per-phase synchronous reactance of 0.5 Ω. Its full-load armature current is 50A at power factor of 0.8 lagging. The armature resistance is negligible. Calculate: (i) Per-phase internal generated voltage, EA. (ii) The terminal line voltage of the generator if the generator is loaded at 40 A at power factor of 0.8 lagging. (iii) Draw the phasor diagram for (ii) with a proper label (iv) The load at (ii) is removed and three 12 Ω resistors are connected in wye across the terminals of the generator. Calculate the terminal voltage across the generator
The magnitude of the no-load, line-neutral voltage induced on the ‘a’-phase stator windings of a synchronous 3 phase generator is |Ea | = 480 V. Presume the stator winding resistance is negligible, and that the synchronous reactance is Xs = 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, Vథ? b. What is the power angle (?)? c. What is the percent voltage regulation? d. What is the total 3 PHASE complex, real, and reactive power delivered to the load?
In 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 3-phase, Y connected, round rotor synchronous generator rated at 12kVA, 240V has a Synchronous reactance of 1.2Ω per phase and an armature resistance of 0.6Ω per phase. Calculate: i) The generated phase voltage at full load and 0.8 lagging power factor. ii) The percentage voltage regulation at full-load with 0.8 lagging power factor. iii) The generated phase voltage at full load and 0.8 leading power factor. iv) The percentage voltage regulation at full-load with 0.8 leading power factor.
The 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 230-kVA, 1100 V, Δ-connected, three-phase, synchronous generator has an average resistance of 0.3 Ω between any two of its terminals. With a particular field excitation and at its rated speed, the no-load voltage was 1000 V and the short- circuit current in each line was 121.24 A.  Determine the synchronous impedance of the generator. If the rotational loss is 12 kW and the generator delivers the rated voltage at 80% rated load and 0.866 power factor lagging, determine its voltage regulation and efficiency using the per-unit system Explain each step please
A 230-kVA, 1100 V, Δ-connected, three-phase, synchronous generator has an average resistance of 0.3 Ωbetween any two of its terminals. With a particular field excitation and at its rated speed, the no-load voltage was 1000 V and the short-circuit current in each line was 121.24 A.Determine the synchronous impedance of the generator. If the rotational loss is 12 kW and the generator delivers the rated voltage at 80% rated load and 0.866 power factor lagging, determine its voltage regulation and efficiency using the per-unit system
A 230-kVA, 1100 V, Δ-connected, three-phase, synchronous generator has an average resistance of 0.3 Ω between any two of its terminals. With a particular field excitation and at its rated speed, the no-load voltage was 1000 V and the short- circuit current in each line was 121.24 A.  Determine the synchronous impedance of the generator. 2))If the rotational loss is 12 kW and the generator delivers the rated voltage at 80% rated load and 0.866 power factor lagging, determine its voltage regulation and efficiency using the per-unit system Explain each step please please coomplete the Second part label 2))
A 4-pole, 36-slot, 60-Hz, three-phase, Y-connected, synchronous generatorhas 10 turns per coil. The flux per pole is 50 mWb. For a series connection,determine (a) the synchronous speed, (b) the per-phase voltage, and (c) theline voltage
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