Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  In a DC-DC boost converter, the duty ratio is... Start Learning for Free
In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.
    Correct answer is '24'. Can you explain this answer?
    Verified Answer
    In a DC-DC boost converter, the duty ratio is controlled to regulate t...
    Po = 120w, Vs = 24V, Vo = 48V

    α = 0.5 [Duty cycle]
    Po = VoIo = 120
     
    VSIS = VoIo

    At boundary of continuous & discontinuous
    View all questions of this test
    Most Upvoted Answer
    In a DC-DC boost converter, the duty ratio is controlled to regulate t...
    In a DC-DC boost converter, the value of the boost inductor (in Henrys) can be calculated using the following formula:

    L = (V_out * (1 - D)) / (f * ΔI_L)

    Where:
    L = Inductance value (in Henrys)
    V_out = Output voltage (in volts)
    D = Duty ratio (unitless)
    f = Switching frequency (in Hz)
    ΔI_L = Inductor ripple current (in Amperes)

    Given:
    V_out = 48 V
    Duty ratio (D) = ?
    f = 50 kHz
    P_out = 120 W

    To find the duty ratio (D), we can use the formula:

    P_out = (V_out * V_in * D) / (1 - D)

    Rearranging the formula to solve for D:

    D = (P_out / (V_out * V_in + P_out))

    Given V_in = 24 V, we can substitute the values:

    D = (120 W / (48 V * 24 V + 120 W))
    D = 0.2

    Now, we can substitute the values of V_out, D, f, and ΔI_L into the formula for L:

    L = (48 V * (1 - 0.2)) / (50 kHz * ΔI_L)

    Since the converter operates at the boundary between continuous and discontinuous conduction modes, the inductor ripple current (ΔI_L) is equal to half of the average inductor current (ΔI_L = I_L / 2).

    The average inductor current (I_L) can be calculated using the formula:

    I_L = P_out / V_out

    Substituting the values:

    I_L = 120 W / 48 V
    I_L = 2.5 A

    Now we can calculate the inductor ripple current:

    ΔI_L = I_L / 2
    ΔI_L = 2.5 A / 2
    ΔI_L = 1.25 A

    Finally, we can substitute the values into the formula for L:

    L = (48 V * (1 - 0.2)) / (50 kHz * 1.25 A)
    L = 0.768 H (approximately)

    Therefore, the value of the boost inductor in this DC-DC boost converter is approximately 0.768 Henrys.
    Explore Courses for Electrical Engineering (EE) exam

    Top Courses for Electrical Engineering (EE)

    In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. Can you explain this answer?
    Question Description
    In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. 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 In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. 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 In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. Can you explain this answer?.
    Solutions for In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. 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 In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. Can you explain this answer?, a detailed solution for In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. Can you explain this answer? has been provided alongside types of In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at 48 V. The input DC voltage is 24 V. The output power is 120 W. The switching frequency is 50 kHz. Assume ideal components and a very large output filter capacitor. The converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in μH) is ________.Correct answer is '24'. 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