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AN2317 Datasheet(PDF) 20 Page - STMicroelectronics |
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AN2317 Datasheet(HTML) 20 Page - STMicroelectronics |
20 / 27 page External Circuit Design AN2317 - Application 20/27 The input current (IIN) is limited by R1 and the capacitive reactance of C2 (see Equation 28 and Equation 29), and is expressed as: Equation 27 where, XC2 = C2 reactance. Note: R1 is used to limit inrush current, but it dissipates power. By adding a low-cost half-wave rectifier, current is allowed to be supplied by the source during the positive half, where, ● VINRMS = RMS voltage of the half-wave AC waveform, and is expressed as follows: Equation 28 where, VPEAK = mains peak voltage (i.e. United States = 115V/60Hz and Europe = 220V/50Hz), and VZ = the voltage drop across D1 and D3. ● XC2 = Capacitor reactance, and is expressed as: Equation 29 By substituting the values expressed in Equation 27 with those in Equation 28 and Equation 29, the results are as follows: Equation 30 Assuming that the voltage drop across each diode is 0.7V, then the total voltage drop is expressed as: Equation 31 I IN V IN R MS () X C2 R 1 + ------------------------- = V IN RM S () 1 2 --- V PEAK V Z – 2 ------------------------------- ⋅ = X C2 1 2 πfC 2 ---------------- = I IN V PEAK V Z – 22 X C2 R 1 + () ---------------------------------------- 2V mains V Z – 22 X C2 R 1 + () ---------------------------------------- == V Z V D1 V D3 5 0.7 2 6.4V = ⋅ + = + = |
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