2. The synchronous reactance of a three-phase, star connected, 380 V, 50 Hz, cylindrical alternator with 2 poles is Xs = 1.5 Ω/ phase. This alternator is connected to an infinite bus. As the alternator powers the bus with 100 kW, the angle between the induced voltage and the terminal voltage is δ= 25,09 °. Find the following for this alternator with neglected losses. A) The torque applied to the shaft of the alternator b) The induced voltage in the alternator c) The active and reactive components of the apparent power

2. The synchronous reactance of a three-phase, star connected, 380 V, 50 Hz, cylindrical alternator with 2 poles is Xs = 1.5 Ω/ phase. This alternator is connected to an infinite bus. As the alternator powers the bus with 100 kW, the angle between the induced voltage and the terminal voltage is δ= 25,09 °. Find the following for this alternator with neglected losses. A) The torque applied to the shaft of the alternator b) The induced voltage in the alternator c) The active and reactive components of the apparent power

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

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...

See similar textbooks

Similar questions

ELECTRICAL MACHINES 2. The synchronous reactance of a three-phase, star connected, 380 V, 50 Hz, cylindrical alternator with 2 poles is Xs = 1.5 Ω/ phase. This alternator is connected to an infinite bus. As the alternator powers the bus with 100 kW, the angle between the induced voltage and the terminal voltage is δ= 25,09 °. Find the following for this alternator with neglected losses. A) The torque applied to the shaft of the alternator b) The induced voltage in the alternator c) The active and reactive components of the apparent power AND The power coefficient AND The rotation speed of the alternator.
A single-phase alternator connected to 6,600-V bus-bars has a synchronous impedance of 10Ω and a resistance of 1 Ω. If its excitation is such that on open circuit the p.d. would be 5000 V, calculate the maximum load the machine can supply to the external circuit before dropping out of step and the corresponding armature current and p.f. [2864 kW, 787 A, 0.551]
National Power Corporation has A 3-phase, Wye -connected turbo-alternator, having a synchronous reactance of 10 Ω per phase and negligible armature resistance, has an armature current of 220 A at unity p.f. The supply voltage is constant at 11 kV at constant frequency. If the steam admission is unchanged and the e.m.f. raised by 25%, determine the current and power factor. [288.6 A , 0.762 (lag)]
A 100KVA, 3000V, 60Hz, 3-phase, wye connected alternator operates at rated KVA at a power factor of 86.6%. The de armature winding resistance between terminals is 1.24Ω. The field current of 40A produces a short circuit current of 200A and and open circuit emf of 1040V. What will be the open circuit voltage circuit voltage across two terminals (in Volts) at 0.866 pf leading if the effective armature winding resistance is 1.15 of the dc resistance.
A 500 kVA, 11 kV, 3-phase star-connected alternator has the following data : Friction and windage loss = 1500 W Open-circuit core loss = 2500 W Effective armature resistance per phase 40 ohm Field copper loss = 1000 W Find (a) alternator efficiency of half-full load and at 0.8 power factor lagging, (b) maximum efficiency of the alternator.
Kindly solve the problem with step by step complete solution. Also show the given and formula used. Thank you! 1. A twelve-pole, AC single phase alternator has 144 slots, 2/3 of which are wound with 8 conductors/slot. The flux per pole is 42 mWb, sinusoidally distributed. The distribution factor is 0.829 and the coil span factor is unity. If the speed is 500 rev/min, find emf generated.
Two similar 6600 V, 3-phase alternators are running in parallel sharing equally a total load of 10,000 kW at a lagging power factor of 0.8, the two machines being similarly excited. If the excitation of one machine is adjusted so that its armature current is 438 A, find the armature current and power factor of the second machine if the steam supply is not changed. [Ans. cos Ꝋ2 = 0.568 (lag)]
A straight-line law connects terminal voltage and load of a 3-phase star connected alternator delivering current at 0.8 power factor lagging. At no-load, the terminal voltage is 3,500 V and at full-load of 2,280 kW, it is 3,300 V. Calculate the terminal voltage when delivering current to a 3-phase, star-connected load having a resistance of 8 o and a reactance of 6 ohm per phase. Assume constant speed and field excitation.
A 3-phase, star -connected turbo-alternator, having a synchronous reactance of 10 Ω per phase and negligible armatureresistance, has an armature current of 220 A at unity p.f. The supply voltageis constant at 11 kV at constant frequency. If the steam admission is unchangedand the e.m.f. raised by 25%, determine the current and power factor.
A 3Ø, Y-connected alternator is rated at 1,600KVA, 13.5KV. The armature effective AC resistance per phase is 1.5Ω. The percentage regulation for a load of 1,280kW at unity power factor is 3.5%. Determine:(a) synchronous reactance of the alternator(b) %VR at full-load 0.8pf leading(c) What is the effect on %VR value if taken at half-load lagging pf? Justify andexplain briefly your answer on one(1) sentence.
A 60kVA, 220V, 50Hz, single phase alternator has effective armature resistance of 0.016 ohm and an armature leakage reactance of 0.07 ohm. Compute the voltage induced when the alternator is delivering at a load power factor of (a) unity; a. 225.2V b. 252.2V c. 522.2V d. 222.5V
A 15kVA, 440V, single-phase alternator draws a field current of 5A at rated load. With the same field current, the open circuit emf and short-circuit current are 100V and 80A respectively. The ohmic resistance of the armature between terminals is 0.12 ohm. The ratio of effective to ohmic resistance maybe taken as 1.1. Determine the voltage regulation (in %) when the load is purely resistive.