Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  A three-phase, 50Hz, star-connected cylindric... Start Learning for Free
A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ω per phase. The load angle is 30o. The power delivered to the motor in kW is _______
 
    Correct answer is between '835,842'. Can you explain this answer?
    Verified Answer
    A three-phase, 50Hz, star-connected cylindrical-rotor synchronous mach...
     P  = 838.31 kW
    View all questions of this test
    Most Upvoted Answer
    A three-phase, 50Hz, star-connected cylindrical-rotor synchronous mach...
    Ω per phase and the rotor resistance is 0.2 Ω per phase. The stator current is 500 A and the power output of the motor is 5 MW.

    To find:

    a) The voltage across each phase of the stator.
    b) The power factor angle of the motor.
    c) The torque developed by the motor.

    Solution:

    a) The voltage across each phase of the stator can be found using the formula:

    Vs = Vgrid / √3
    where Vgrid = 6.6 kV is the voltage of the grid.

    Vs = 6.6 kV / √3 = 3.81 kV

    Therefore, the voltage across each phase of the stator is 3.81 kV.

    b) The power factor angle of the motor can be found using the formula:

    cos(θ) = Pout / (√3 x Vs x Is)
    where Pout = 5 MW is the power output of the motor and Is = 500 A is the stator current.

    cos(θ) = 5 x 10^6 / (√3 x 3.81 x 10^3 x 500) = 0.925

    θ = cos^-1(0.925) = 22.3 degrees

    Therefore, the power factor angle of the motor is 22.3 degrees.

    c) The torque developed by the motor can be found using the formula:

    T = Pout / (2 x π x f)
    where f = 50 Hz is the frequency of the supply.

    T = 5 x 10^6 / (2 x π x 50) = 15,915 Nm

    Therefore, the torque developed by the motor is 15,915 Nm.
    Explore Courses for Electrical Engineering (EE) exam

    Similar Electrical Engineering (EE) Doubts

    Top Courses for Electrical Engineering (EE)

    A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer?
    Question Description
    A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer?.
    Solutions for A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
    Here you can find the meaning of A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer?, a detailed solution for A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? has been provided alongside types of A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ωper phase. The load angle is 30o. The power delivered to the motor in kW is _______Correct answer is between '835,842'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
    Explore Courses for Electrical Engineering (EE) exam

    Top Courses for Electrical Engineering (EE)

    Explore Courses
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev