A synchronous generator has parameters as shown in table below. 1. Voltage Rating 30 kV, 3-phase...

A synchronous generator has parameters as shown in table below.

1.	Voltage Rating	30 kV, 3-phase	5.	Frequency	50 Hz
2.	Power Rating	50 MVA	6.	Rotor	Round
3.	Synchronous Reactance, X_S	7 Ω /phase	7.	Connection	STAR
4.	Armature resistance, R_a	1.5 Ω /phase	8.	Excitation Type	Permanent Magnet

An inductive load of 30MW at 0.8 power factor at rated terminal voltage is connected to the synchronous generator to an infinite bus. Determine the excitation voltage per phase and its corresponding power angle. Sketch a phasor diagram for this condition.?
With reference to (a), without losing synchronism, what will be the maximum power the generator will be
able to deliver? Also, determine the armature current at this condition.?
Turbine torque is reduced until generator output is 15MW while excitation is held constant as in (a) above,
determine the power angle, armature current, and power factor.?
If now the load has changed to a rated power at rated voltage load, with a leading power factor of 0.8,
determine the percentage voltage regulation of this generator.?

Expert Solution

Manojponduru answered 8 months ago

A three-phase synchronous generator is rated 16 kV and 200 MVA, has negligible losses and has...

A three-phase synchronous generator is rated 16 kV and 200 MVA, has negligible losses and has reactance of 1.65 pu. The generator is operated on an infinite bus of 15 kV voltage and delivers 100 MVA at 0.8 Power Factor, lagging. a)Determine the internal voltage (E_i), the power angle (δ), and the line current of the machine. b)If the field current of the machine is reduced by 10%, while the mechanical power input to the machine is maintained constant, determine...

2) A three-phase synchronous generator is rated 16 kV and 200 MVA, has negligible losses and...

2) A three-phase synchronous generator is rated 16 kV and 200 MVA, has negligible losses and has reactance of 1.65 pu. The generator is operated on an infinite bus of 15 kV voltage and delivers 100 MVA at 0.8 Power Factor, lagging. a)Determine the internal voltage (E_i), the power angle (δ), and the line current of the machine. b)If the field current of the machine is reduced by 10%, while the mechanical power input to the machine is maintained constant,...

QUIESTION 1 A three-phase synchronous generator is connected to an infinite bus. The infinite bus voltage...

QUIESTION 1 A three-phase synchronous generator is connected to an infinite bus. The infinite bus voltage and the generated voltage are o 1.0 pu ∠0 and o 1.0pu ∠42.84 , respectively. The synchronous reactance is 0.85 pu and resistances are neglected. a) Compute power angle (δ), armature current (Is), power factor (pf), real power (P), and reactive power (Q). Draw the phasor diagram. b) If the prime mover torque is kept constant at a value corresponding to P=0.8 pu, compute...

A 1-MW, three-phase, star connected, 3.3-kV, 24-pole, 50-Hz synchronous motor has a synchronous reactance of 3.24...

A 1-MW, three-phase, star connected, 3.3-kV, 24-pole, 50-Hz synchronous motor has a synchronous reactance of 3.24 ohms per phase. The armature resistance may be ignored. This motor is energized from 3.3-kV infinite bus bars. The field excitation is adjusted until unity power factor at rated load is achieved. Compute the maximum power and torque that the motor can deliver with the excitation remaining unchanged

A three phase, 60 Hz, 480 V, Y-connected, two-pole synchronous generator has a synchronous reactance of...

A three phase, 60 Hz, 480 V, Y-connected, two-pole synchronous generator has a synchronous reactance of 0.95 Ω per phase. Its armature resistance is negligible. Its combined friction and windage losses are 1.3 kW and its core losses are 0.95 kW. The field current is constant at no-load. Its full load armature current is 55 A at 0.9PF lagging. Assume phase voltage is a reference. Determine following: a) Its terminal voltage when it is loaded with the rated current at...

A 480 V, 50 Hz, Y-connected six-pole synchronous generator has a per-phase synchronous reactance of 1.0...

A 480 V, 50 Hz, Y-connected six-pole synchronous generator has a per-phase synchronous reactance of 1.0 Ω. Its full-load armature current is 60 A at 0.8 PF lagging. Its friction and windage losses are 1.5 kW and core losses are 1.0 kW at 60 Hz at full load. Assume that the armature resistance (and, therefore, the I2R losses) can be ignored. The field current has been adjusted such that the no-load terminal voltage is 480 V. a. What is the...

1 unit generator and motor syncron with rating 25 MVA, 13,2 KV. both have subtransien reactance...

1 unit generator and motor syncron with rating 25 MVA, 13,2 KV. both have subtransien reactance 15%. reactance 10% to machine base. motors rating 20 MW (0.9 lagging) and terminal voltage 12,5 KV. 3 phase fault occurs at the generator terminal. calculate the subtransient generator currents, motor subtransient currents and symmetrical fault currents using thevenin theorem

Q4- A 480V, 50Hz, 20KVA Y-connected eight-pole synchronous generator has a per-phase synchronous impedance of 0.15+??1.1...

Q4- A 480V, 50Hz, 20KVA Y-connected eight-pole synchronous generator has a per-phase synchronous impedance of 0.15+??1.1 ?. The total mechanical and stray losses are 1.5kW. The core losses are neglected. Assume that the magnetization curve of the generator is linear. If the generator operates at full load at a unity power factor, calculate the following: a.The speed of rotation of the generator at full load. b.The voltage regulation of the generator. c.The developed torque on the shaft of the generator....

A 3-phase, 5 kVA, 208 V, 4-pole, 60 Hz, star-connected synchronous generator has negligible stator winding...

A 3-phase, 5 kVA, 208 V, 4-pole, 60 Hz, star-connected synchronous generator has negligible stator winding resistance and a synchronous reactance of 8 Ω per phase at the rated terminal voltage. The generator is connected in parallel to a 3-phase, 208 V, 60 Hz infinite bus. All losses may be neglected. a) Determine the excitation voltage and the power angle when the machine is delivering rated apparent power at 0.8 PF lagging. b) If the field excitation is increased by...

6.9 A3 ϕ, 11 kV, 60 Hz, 25 MVA, Y-connected cylindrical-rotor synchronous machine generator has Ra...

6.9 A3 ϕ, 11 kV, 60 Hz, 25 MVA, Y-connected cylindrical-rotor synchronous machine generator has Ra = 0.45 Ω per phase and Xs = 4.5 Ω per phase. The generator delivers the rated load at 11 kV and 0.85 lagging power factor. Determine the excitation voltage, Ef, for this operating condition. 6.11 The synchronous machine in Problem 6.9 is operated as a synchronous motor and it is drawing rated MVA at 0.85 lagging power factor. Determine the excitation voltage, Ef,...

Question