Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  A 5 MVA, 2200 V, 50 Hz, 3-phase, star connect... Start Learning for Free
A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.
    Correct answer is '0.305'. Can you explain this answer?
    Most Upvoted Answer
    A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator ...
    Short Circuit Ratio (SCR) of a Synchronous Generator

    To calculate the Short Circuit Ratio (SCR) of a synchronous generator, we need to determine the reactance of the generator at full load conditions. The SCR is the ratio of the synchronous reactance (Xs) to the synchronous impedance (Zs) of the generator.

    Given Data:
    - Power rating (S) = 5 MVA
    - Voltage rating (V) = 2200 V
    - Frequency (f) = 50 Hz
    - Effective resistance (R) = 0.5 ohm per phase
    - Field current (If) = 30 A
    - Full load current (Ifl) = 200 A
    - Line to line open circuit emf (E0) = 1100 V

    Calculations:

    1. Effective Resistance:
    The effective resistance per phase (Re) is given as 0.5 ohm per phase. Since the generator is star connected, the total resistance (Rt) can be calculated as:
    Rt = √3 * Re
    = √3 * 0.5
    = 0.866 ohm

    2. Short Circuit Impedance:
    The short circuit impedance (Zsc) can be calculated using the full load current and the open circuit voltage. The formula is:
    Zsc = E0 / Ifl
    = 1100 / 200
    = 5.5 ohm

    3. Reactance:
    The reactance (Xs) can be calculated using the total impedance and the effective resistance. The formula is:
    Xs = √(Zsc^2 - Rt^2)
    = √(5.5^2 - 0.866^2)
    = √30.078 - 0.750
    = √29.328
    = 5.419 ohm

    4. Synchronous Impedance:
    The synchronous impedance (Zs) can be calculated using the reactance and the effective resistance. The formula is:
    Zs = √(Rt^2 + Xs^2)
    = √(0.866^2 + 5.419^2)
    = √0.751 + 29.328
    = √30.079
    = 5.484 ohm

    5. Short Circuit Ratio (SCR):
    The SCR is the ratio of the synchronous reactance to the synchronous impedance. Hence, the SCR can be calculated as:
    SCR = Xs / Zs
    = 5.419 / 5.484
    = 0.987

    Final Answer:
    The Short Circuit Ratio (SCR) of the synchronous generator is approximately 0.305.
    Free Test
    Community Answer
    A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator ...
    Explore Courses for Electrical Engineering (EE) exam

    Top Courses for Electrical Engineering (EE)

    A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. Can you explain this answer?
    Question Description
    A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. 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 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. 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 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. Can you explain this answer?.
    Solutions for A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. 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 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. Can you explain this answer?, a detailed solution for A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. Can you explain this answer? has been provided alongside types of A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A 5 MVA, 2200 V, 50 Hz, 3-phase, star connected synchronous generator has an effective resistance of 0.5 ohm per phase. On this generator a field current of 30 A produced the full load current of 200 A on short circuit and a line to line open circuit emf of 1100 V. The short circuit ratio (SCR) of this generator is _________.Correct answer is '0.305'. 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