(a) The synchronous speed is given by
Given,
(b) As the motor is operating at rated condition and neglecting losses, the developed power would be the rated power which is given as
Therefore, the developed torque in HP is given by
(c) The active power is equal to the developed power
So,
(d) As the power factor is given as
lead
Also,
The apparent power is given by
(e) The reactive power is given by
(f) Power triangle would be as shown in the figure
(g)
So,
(h) The excitation voltage for synchronous motor is given by
(i) The power angle as calculated above is
(j) The phasor diagram is shown in the following figure
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, (...
(Question 1): (4pts) A three-phase, 2300-V, 60-Hz, 10-pole, A-connected cylindrical rotor synchronous motor has a synchronous reactance of 4.0 82/phase. The armature resistance may be neglected. It is connected to 2300-V source and drives a system with its excitation set to give a PF of 0.9-leading when the power is 500-kW. (a) Sketch the phasor diagram of this motor. (b) Calculate the armature current. (c) Calculate the excitation voltage and torque angle. (d) If the load torque is increased by...
Be detailed please A three-phase y-connected 2300 V, 60 Hz round-rotor synchronous motor has a synchronous reactance of 2 ohms/ phase and negligible armature resistance. 2. If the motor takes a line current of 350 A operating at a leading pf of 0.8. calculate the armature voltage and the power angle. If the motor is operating on load with a load angle of-20%, and the excitation is adjusted so that the armature voltage is equal in magnitude to the terminal...
A three phase 10-pole synchronous motor has per phase synchronous resistance of 4.3 ohm. It is connected to a 4160V (line to line) 60Hz line and generates an excitation voltage Eo of 1790V (line to neutral) when the dc exciting current is 30A. The Torque angle between E and Eo is 30 degrees. Calculate a) The mechanical angle between the center of rotor and stator poles b) The voltage across the synchronous reactance c) The power delivered to the motor...
A three-phase delta-connected synchronous induction motor is connected to a 415 volt, 50 Hz supply. The winding resistance is negligible and the synchronous reactance per phase is 5 ohms. The input power is 20 kW and the motor has a leading power factor of 0.8. Draw the phasor diagram for this machine: ii) use the IXs phasor and the V phasor to construct the phasor for E. iii) measure or calculate the magnitude of E iv) By construction and/or by...
Electric Machines - Synchronous Motors 4. A 150 kVA, 460-V, four pole, 60 Hz, three phase, Y-connected synchronous motor operatingat rated load has a synchronous reactance of 1.20 ohms/phase, determine: Excitation voltage Power angle Pull-out torque Draw a phasor diagram a. b. c. d. 4. A 150 kVA, 460-V, four pole, 60 Hz, three phase, Y-connected synchronous motor operatingat rated load has a synchronous reactance of 1.20 ohms/phase, determine: Excitation voltage Power angle Pull-out torque Draw a phasor diagram a....
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...
Q3) A 400-V, 3-phase, 50-HZ, 4-pole Y-connected synchronous machine is operated as a motor and draws 27A at 0.77 PF leading. The motor armature resistance is 0.50/Phase and synchronous reactance is j12Ω /phase. The rotational loss is 200 watts. The field winding has a resistance of 0.4Ω and is supplied by 50V DC sources. Determine the following: a) Real and reactive power drawn by the motor b) The power developed c) The torque angle d) The shaft torque e) Efficiency...
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...
A 4-pole, 60Hz, three-phase synchronous motor with a synchronous reactance of 0.5 Ω is working at half load with torque of 20 N-m. Assume ?? = 120∠00 ? (phase voltage). When working at the full load, the equivalent field voltage is Ef = 100 V (phase voltage). a) Draw the per-phase equivalent circuit and label the parameters (5 Points) b) Determine the power consumed by the half load (5 Points) c) Calculate the armature current and active power consumed, at full...
A 1500 kW, unity pf, 3-phase, Y-connected, 2300 V-(line), 30 pole, 60 Hz synchronous motor has a synchronous reactance of 1.95 22/phase. For this problem all losses may be neglected. a. Compute the max. torque in Nm which this motor can deliver if it is supplied with power from an infinite bus, and if its field excitation is constant at the value which would result in unity (1.0) pf at rated load. b. Now, suppose that the motor is supplied...