Problem 3:A 480 V, 50 kW, 60 Hz, 3-φ synchronous motor has a synchronous reactance of Xs = 4.56 Ω and an armature-to-field mutual inductance, Laf = 150 mH. The motor is operating at rated speed an...
Problem 3:A 480 V, 50 kW, 60 Hz, 3-φ synchronous motor has a synchronous reactance of Xs = 4.56 Ω and an armature-to-field mutual inductance, Laf = 150 mH. The motor is operating at rated speed and terminal voltage and at an output power of 35kW. Neglecting losses in the motor, calculate the magnitude and phase angle of the line-to-neutral generated voltage Eaf and field current I if the motor is operating at (a) 0.9 power factor lagging (b) unity...
2) A 480 V, 60 Hz, 400 hp 0.8 PF-lagging eight-pole A-connected synchronous motor has a synchronous reactance of 0.6 and negligible armature resistance. Ignore the mechanical and core losses. The magnitude of the internal machine voltage is 480 V when the field current is 4 A. Assume magnetic linearity. Initially, the motor operates at the rated conditions. a) Find the speed of this motor. b) Find the armature and field currents. c) What is the developed torque? What is...
Problem 1. (25 points) A 200-hp 440-V 0.8-PF-leading љс0nnected synchronous motor has an armature resistance of 0.6 Ω and a synchronous reactance of 8.0 Ω. Its efficiency at full load is 90 percent. 1. What is the input power to the motor at rated conditions? 2. What is the line current of the motor at rated conditions? What is the phase current of the motor at rated conditions? 3. What is the reactive power consumed by or supplied by the...
Problem 1: Synchronous Machine Generator and Motor Operation A 10 MVA, 2300 Volt (Line to line xms) uniform airgap synchronous machine has a synchronous reactance of 0.9 pu at 60 Hz and resistance may be neglected. The machine is connected to a 2300 Volt constant voltage, constant frequency source and operated as described below (a) Generator Operation - Find the power, reactive power, current, and the required internal voltage E for generator operation at rated volt-amperes and power factors of...
e connected, 60 Hz, 2300 volt, sik pole, cylindrical rotor synchronous motor is 8 leading, neglect losses, the synchronous reactance is 2.5 sand Fp ohm/phase. Determine: (a) Synchronous speed-n, (b) Developed torque in Horsepower Tmec (c) Active Power-P (d) Apparent Power-S (e) Reactive Power-Q (f) Draw the Power Triangle (g) Armature current-1 (h) Excitation voltage-Et (i) Power Angle-8 U) Draw the phasor diagram e connected, 60 Hz, 2300 volt, sik pole, cylindrical rotor synchronous motor is 8 leading, neglect losses,...
A three-phase, Y-connected, 6.9-kV, 8-pole, 60-Hz, synchronous motor has a synchronous impedance of 0.01+j6 Ω/phase. The motor is energized at its rated voltage and frequency, and draws a line current of 100 A. The motor rotates a load, while operating at a lagging power factor of 0.9. Calculate the torque developed by the motor: (a) considering the armature resistance (b) neglecting the armature resistance
Problem 7 (Chapter 5: Three-Phase Synchronous Motors) A 440 V, 124 HP, 4 poles, 50 Hz, 0.9 leading Power Factor, A-connected synchronous motor has an armature resistance of 0.05 12, and a synchronous reactance of 1.5 12. This motor is operating at its rated conditions with an efficiency of 92 %. 1. Calculate the electrical input power. 2. Find the RMS phase and line currents. 3. What is the reactive power consumed by or supplied by this motor? 4. Calculate...
b) A 1MW, 3300 V, 50 Hz, wye-connected, 3-ф, twenty four-pole, synchronous motor has a synchronous reactance of 3.24 2 per phase. Assume armature resistance is negligible. This machine is connected to an infinite bus-bars at 3300 V. Its field excitation is adjusted to provide P.F-1 at rated load Calculate: 0 the internal generated voltage EA and armature current la at rated conditions (S marks) ii) the maximum power and torqu e that the motor can deliver with its Ir...
Question 5 (Svnchronous machines) a. A synchronous generator connected to an infinite grid has its frequency and terminal b. A six-pole, Y-connected three-phase synchronous machine rated 208 V (line-to- voltage fixed. What is the effect of increasing the excitation current in this case? line), 5500 VA has a synchronous reactance of 8 2 per phase at rated terminal voltage. It is operating as a generator connected to an infinite grid Determine the excitation voltage and the power angle if the...
Problem 5 A 12-pole, 240 V, 60 Hz synchronous motor has a synchronous reactance of 2 Ω. The field current is adjusted so that the equivalent field voltage Ef is 320 V (line-to-line). Calculate the following: a. Maximum torque b. Power factor at the maximum torque Problem 5 A 12-pole, 240 V, 60 Hz synchronous motor has a synchronous reactance of 2 Ω. The field current is adjusted so that the equivalent field voltage Ef is 320 V (line-to-line). Calculate...