A 480-V, 200-kW two-pole three-phase 50-Hz synchronous generator’s prime mover has no-load speed of 3040 r/min and a full-load speed of 2975 r/min. It is operating in parallel with a 480-V 150-kW four- pole 50-Hz synchronous generator whose prime mover has a no-load speed of 1500 r/min and a full-load speed of 1485 r/min. The loads supplied by the two generators consist of 200 kW at 0.85 pf lagging. A. Calculate the speed droops of generator 1 and generator 2. B. Find the operating frequency of the power system. C. Find the power being supplied by each of the generators in this system.

A 480-V, 200-kW two-pole three-phase 50-Hz synchronous generator’s prime mover has no-load speed of 3040 r/min and a full-load speed of 2975 r/min. It is operating in parallel with a 480-V 150-kW four- pole 50-Hz synchronous generator whose prime mover has a no-load speed of 1500 r/min and a full-load speed of 1485 r/min. The loads supplied by the two generators consist of 200 kW at 0.85 pf lagging. A. Calculate the speed droops of generator 1 and generator 2. B. Find the operating frequency of the power system. C. Find the power being supplied by each of the generators in this system.

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 11.8P

See similar textbooks

Similar questions

Induction motors and welding transformers require magnetizing current, which causes a. lagging power factor. b. leading power factor. c. unity power factor. d. zero power factor.
Please answer all the questions A 13.5-kV 20-MVA 0.8-PF-lagging 60-Hz two-pole Y-connected steam-turbine generator has a synchronous reactance of 5.0 Ω per phase and an armature resistance of 0.5 Ω per phase. This generator is operating in parallel with a large power system (infinite bus). a) If the field current is constant, what is the maximum power possible out of this generator? b) At the absolute maximum power possible, how much reactive power will this generator be supplying or consuming? c) Sketch the corresponding phasor diagram and calculate for the armature current (assume the field current is still unchanged) d) How much reserve power or torque does this generator have at full load?
A three-phase, 13.8 kV, 10 MVA, 0.8 PF-lagging, 60 Hz two-pole, Y-connected steam-turbinegenerator has a synchronous reactance of 12 Ω per phase and an armature resistance of 1.5 Ω perphase. This generator is operating in parallel with a large power system (infinite bus). (a) If the field current is constant, what is the maximum active power possible out of this generator (taking into account Ra)? How much reserve power does this generator have at full load ? (b) At the absolute maximum active power possible, how much reactive power will this generator be supplying or consuming? Sketch the corresponding phasor diagram assuming If is stillunchanged
A 5 MVA phase, 14.1-KV, 0.85-PF-lagging, 50Hz, 4-pole, Y-connected steam-turbine generator has a synchronous reactance of 10 per phase, and a negligible armature resistance. This generator is connected to operate in parallel with large power system infinite bus) The generator is operating with EA=8.0 KV and S = 21.8 degrees If the field current is reduced by 20 % while the power is not changed, Find the new torque angle and the magnitude of the armature current.
A two-pole Y-connected synchronous generator has a voltage level of 2300 V, a capacity of 1000 kVA, a power factor of 0.8 lagging, a frequency of 50 Hz, a synchronous reactance of 1.1 Ω and an armature resistance of 0.15 Ω. At a frequency of 50 Hz, there are friction and windage losses of 24 kW, and core losses of 18 kW. The field circuit has a dc voltage of 200 V and a maximum Ifof 10 A. The resistance of the field circuit is adjusted over the range of 20 - 200 Ω. The open circuit characteristic curve (OCC) of the generator is shown in Figure below. (a) What field current is required for the value of VT to be 2300 V when the generator is operating at no load? (b) What is the internal voltage generated by the engine at the specified rated conditions (generator rating)? (c) What field current is required for the VT value to be 2300 V when the generator is operating under the rated (rating) condition? (d) How much power and torque can be supplied by the prime mover of the generator…
A 40 MVA, 24-KV, 0.85-PF-lagging, 50-Hz, 4-pole, Delta-connected, 3- phase, steam-turbine generator has a synchronous reactance of 10 per- phase, and a negligible armature resistance. The field current is adjusted for 26-KV generator output line voltage at no load. This generator is connected to operate in parallel with a large power system (infinite bus). If the field current is unchanged, determine the absolute maximum output power of this generator. Select one: a. Pout, max = 187.2 MW b. Pout, max = 108 MW O c. Pout, max = 62.4 MW %3D O d. None
A three-phase, 13.8 kV, 10 MVA, 0.8 PF-lagging, 60 Hz two-pole, Y-connected steam-turbine generator has a synchronous reactance of 12 Ω per phase and an armature resistance of 1.5 Ω per phase. This generator is operating in parallel with a large power system (innite bus). ONLY ANSWER PART D)a) What is the magnitude of internal voltage Ea at rated conditions?b) What is power angle δ of the generator at rated conditions?c) If the eld current is constant, what is the maximum active power possible out of this generator (taking into account Ra)? How much reserve power does this generator have at full load?d) At the absolute maximum active power possible, how much reactive power will this generator be supplying or consuming? Sketch the corresponding phasor diagram assuming I(f) is still unchanged.
A 10-kVA, 230-V, three-phase, delta-connected, the synchronous generator has a winding resistance of 0.2 ohms/phase and a synchronous reactance of 0.5 ohms/phase. Determine its voltage regulation when the power factor of the load is (a) 86.6% lagging, (b) 86.6% leading, and (c) unity.
Three Identical steam-turbine generators G 1 ,G 2 , and G 3 are operating in parallel Each generator is 7.2 KV,25.4 MVA, 60 Hz, 0.77 PF lagging 4 poles, Y- connected with synchronous reactance of 2 Ω and an armature resistance of 0.05 Ω. Each of generators G 1 and G 2 has a characteristic power frequency slope of 5.8 MW/ Hz , and no - load frequency of 62.5 Hz. Generator G 3 has a characteristic power- frequency slope of 6.0 MW/ Hz Find the no-load frequency of generator G 3 for which all generators supply a load of 42.6 MW, at Fsys=60Hz.
A 20 MVA , 24 - KV -PF- lagging, 50 Hz 4 pole, Delta-connected. -phase, steam turbine generator has a synchronous reactance of 10 per-phaseand a negligible armature resistance. The field current is adjusted for 28 - KV generator output line voltage at no load. This generator is connected to operate in parallel with a large power system (infinite bus). If the field current is unchanged. determine the absolute maximum output power of this generator.
2.2 A three-phase synchronous generator has a reactance of 1.5 p.. and negligible resistance. It supplies a rated current of 1.0 p.. at 1.0 p.u. terminal voltage to a lagging load of 0.9 power factor. Determine the rated excitation voltage in p.u. and the internal load angle. Construct the performance chart of the generator in 2.1 (above) assuming its rating is 450 MVA.
In three phase, a 100KVA, 6.6 kV Y-connected cylindrical pole synchronous gen. has 20-ohm as synchronous reactance and the armature resistance is negligible and the generator is working at the full load and unity power factor then find the power angle. Please solve fast i'll give upvote this is a 10 marks question so please solve accordingly