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AN3009 bảng dữ liệu(PDF) 13 Page - STMicroelectronics |
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AN3009 bảng dữ liệu(HTML) 13 Page - STMicroelectronics |
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13 / 36 page  AN3009 Designing a transition mode PFC Doc ID 16032 Rev 4 13/36 Equation 16 A 20% tolerance on the electrolytic capacitors has to be considered to obtain the correct dimensioning. As per Equation 14, we have selected for this application a capacitor Co equal to 47 µF (450 V) so as to maintain a hold-up capability for 12 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 working frequency of the converter, thus it is usually calculated so that the minimum switching frequency is greater than the maximum frequency of the L6564’s internal starter (typically 150 µs) to ensure correct transition mode operation. Assuming a unity power factor, it is possible to write: Equation 19 Equation 19 shows that the ON time does not depend on the angle of the mains phase, but is constant over the entire mains cycle. Equation 20 ton and toff are the power MOSFET’s ON and OFF times respectively, ILpk the maximum peak inductor current in a line cycle and θ the instantaneous line phase in the interval [0,Π]). Note that the ON time is constant over a line cycle. As previously said, ILpk is twice the line-frequency peak current (Equation 4), which is related to the input power and input mains voltage. By substituting this relationship in the expressions of ton and toff, it is possible to find the instantaneous switching frequency along a given 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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