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AN3027 датащи(PDF) 12 Page - STMicroelectronics |
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AN3027 датащи(HTML) 12 Page - STMicroelectronics |
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12 / 41 page ![]() Designing a TM PFC AN3027 12/41 Doc ID 16134 Rev 4 If the PFC stage has to guarantee a specified hold-up time, the selection criterion of the capacitance changes. Co has to deliver the output power for a certain time (tHold) with a specified maximum dropout voltage (Vout min) that is the minimum output voltage value (which takes load regulation and output ripple into account). It is also the minimum output operating voltage threshold before triggering the “power fail” detection and consequent stopping of the downstream system supplied by the PFC. Equation 16 A 20% tolerance on the electrolytic capacitors has to be taken into account for the right dimensioning. As shown in Equation 14, for this application a capacitor C O = 47 µF (450 V) has been selected in order to maintain a hold-up capability of 14 ms. The actual output voltage ripple with this capacitor is also calculated. In detail: Equation 17 As expected the ripple variation on the output is: Equation 18 3.3.4 Boost inductor The boost inductor determines the operating frequency of the converter, thus it is usually calculated so that the minimum switching frequency is greater than the maximum frequency of the L6563S internal startup (150 µs typ.), to ensure correct TM operation. Assuming unity PF: Equation 19 Equation 19 demonstrates that the on-time doesn't depend on the mains phase angle, but it is constant over the entire mains cycle. Equation 20 ton and toff represent respectively the on-time and the off-time of the power MOSFET. ILpk is the maximum peak inductor current in a line cycle and θ is the instantaneous line phase of the interval [0, Π]). Note that the on-time is constant over a line cycle. () 2 min out 2 out out Hold out O V V V t P 2 C − ∆ − ⋅ ⋅ = () ( ) F 7 . 36 V 300 V 20 V 400 ms 10 W 100 2 C 2 2 O µ = − − ⋅ ⋅ = () out 2 min out 2 out out O hold P 2 V V V C t ⋅ ⎥⎦ ⎤ ⎢⎣ ⎡ − ∆ − ⋅ = () ( ) [ ] ms 78 . 14 W 100 2 V 300 V 20 V 400 F 47 t 2 2 hold = ⋅ − − ⋅ µ = O l out out C f 2 I V ⋅ ⋅ π ⋅ = ∆ V 02 . 18 F 47 Hz 47 2 A 25 . 0 V out = µ ⋅ ⋅ π ⋅ = ∆ VAC 2 IL L ) sin( VAC 2 ) sin( IL L ) , VAC ( t pk pk on ⋅ ⋅ = ϑ ⋅ ⋅ ϑ ⋅ ⋅ = ϑ ) sin( VAC 2 V ) sin( IL L ) , VAC ( t out pk off ϑ ⋅ ⋅ − ϑ ⋅ ⋅ = ϑ |
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