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A Single phase PFC Circuit is required to be designed for the following Specs:Rated output power Po: 2.5kW AC input voltage range: 100-270VAC Grid frequency range: 50±1Hz d.Output DC voltage  400VSwitch frequency fsw: 120kHz Inductor current ripple permitted is 20% of Pk Inductor currentEfficiency h: >94% Therefore: The Boost inductor value is Select one:a. 220 Micro Hb. None of the given choicesc. 108 Micro Hd. 440 Micro H

Question

A Single phase PFC Circuit is required to be designed for the following Specs:Rated output power Po: 2.5kW AC input voltage range: 100-270VAC Grid frequency range: 50±1Hz d.Output DC voltage  400VSwitch frequency fsw: 120kHz Inductor current ripple permitted is 20% of Pk Inductor currentEfficiency h: >94% Therefore: The Boost inductor value is Select one:a. 220 Micro Hb. None of the given choicesc. 108 Micro Hd. 440 Micro H

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Solution

The calculation of the boost inductor value in a Power Factor Correction (PFC) circuit is based on the input voltage, output voltage, switch frequency, and the allowed ripple current.

The formula for the inductor value is:

L = (Vin * Vout * D) / (fsw * Iripple)

Where: Vin is the minimum input voltage, Vout is the output voltage, D is the duty cycle, fsw is the switching frequency, Iripple is the ripple current.

Given: Vin = 100V (minimum AC input voltage), Vout = 400V (output DC voltage), fsw = 120kHz = 120,000Hz (switch frequency), Iripple = 20% of peak inductor current.

The duty cycle D can be calculated as D = 1 - (Vin/Vout) = 1 - (100/400) = 0.75.

The peak inductor current can be calculated from the output power and the input voltage. The output power Po is given by Po = Vin * Ipeak. Therefore, Ipeak = Po / Vin = 2500W / 100V = 25A.

Therefore, the ripple current Iripple = 0.2 * Ipeak = 0.2 * 25A = 5A.

Substituting these values into the inductor value formula gives:

L = (100V * 400V * 0.75) / (120,000Hz * 5A) = 0.5 H = 500 µH.

This value is not among the given choices, so the correct answer is:

b. None of the given choices.

This problem has been solved

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