Boost Converter

Question 1

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When does converter operate in CCM

Answer 1

For operation in CCM, I_in > ΔI_L/2
P_in = P_out => I_in = P_out/V_in
D = (Vout - Vin)/ Vout
ΔI_L / 2 = 1/2 * Vin/2 * DT
So I_in > ΔI_l/2

Question 2

Ripple voltage across Cout

Answer 2

V_out,ripple = ΔQ_cout / C_out

Question 3

Capacitor conduction losses of C_out

Answer 3

P_cout_RMS = ESR * (I_RMS)^2

Question 4

Coil conduction losses

Answer 4

P_L1 = DCR * I_RMS^2

Question 5

Formula for I_rms

Answer 5

I_rms = sqrt [ (I_in)^2 + ((ΔI_L/2)/sqrt3)^2]

Question 6

Load resistance at which converter operates at boundary between CCM and DCM

Answer 6

R_out = V_out / I_out
I_out = (∆L * (1-D))/2