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FQPF13N50C Datenblatt(PDF) 8 Page - Fairchild Semiconductor |
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FQPF13N50C Datenblatt(HTML) 8 Page - Fairchild Semiconductor |
8 / 15 page AN-6982 APPLICATION NOTE © 2010 Fairchild Semiconductor Corporation www.fairchildsemi.com Rev. 1.0.0 • 6/8/10 8 [STEP-3] PFC Inductor Design The duty cycle of boost switch at the peak of line voltage is given as: 2 BOUT LINE LP BOUT VV D V − = (15) Then the current ripple of the boost inductor at the peak of line voltage is given as: 22 1 LINE BOUT LINE L BOOST BOUT SW VV V I L Vf − Δ= ⋅ ⋅ (16) The average of boost inductor current over one switching cycle at the peak of the line voltage is given as: . 2 OUT LAVG LINE P I V η = ⋅ (17) The ripple factor (KRF), the ratio between the inductor current ripple and average inductor current at the peak of line voltage load is given as: 2 . 2 1 LINE BOUT LINE L RF L AVG OUT BOOST BOUT SW VV V I K I PL V f η ⋅− Δ == ⋅ ⋅ ⋅ (18) As depicted in Figure 15, the ripple factor has the maximum value when the line voltage is: . 2 3 BOUT LINE MRF V V = (19) IL . L AVG I . L AVG I Δ . L RF LAVG I K I Δ = 85VAC 264VAC 2/ 3 BOUT V Figure 15. Ripple Factor with Different Line Voltages Therefore, with a given current ripple factor (KRF=ΔIL/ILAVG), the boost inductor value is obtained as: 2 2 1 27 η ⋅ =⋅ ⋅ BOUT BOOST RF OUT SW V L K Pf (20) (Design Example) The largest ripple factor is obtained at a line voltage as: 2 2 387 182 33 BOUT LINE AC V VV ⋅ == = With the ripple current specification (50%), the boost inductor is obtained as: 2 2 3 2 12 387 0.94 1 27 0.5 350 27 65 10 916 η μ ⋅ ⋅⋅ =⋅ = ⋅ ⋅⋅ ⋅× = BOUT BOOST RF OUT SW V L KP f H The inductor current ripple at low line is obtained as: 63 22 1 285 387 285 1 1.39 387 916 10 65 10 LINE BOUT LINE L BOOST BOUT SW VV V I LV f A − − Δ= ⋅ ⋅ ⋅− ⋅ =⋅ ⋅ = ×× The average inductor current at the peak of the line voltage for low line is obtained as: . . 2 2 350 6.19 85 0.94 η ⋅ == = ⋅⋅ OUT LAVG LINE MIN P I A V The maximum of the inductor current at low line is obtained as: . / 2 6.19 1.39 / 2 6.89 PK LL AVG L I II A =+ Δ = + = [STEP-4] PFC Output Capacitor Selection The output voltage ripple should be considered when selecting the PFC output capacitor. Figure 16 shows the twice line frequency ripple on the output voltage. With a given specification of output ripple, the condition for the output capacitor is obtained as: , 2 BOUT BOUT LINE BOUT RIPPLE I C fV π > ⋅⋅ (21) where IBOUT is nominal output current of boost PFC stage and VBOUT,RIPPLE is the peak-to-peak output voltage ripple specification. The hold-up time also should be considered when determining the output capacitor as: 22 , 2 OUT HOLD BOUT BOUT BOUT MIN Pt C VV ⋅ > − (22) where POUT is nominal output power of boost PFC stage, tHOLD is the required hold-up time, and VBOUT,MIN is the allowable minimum PFC output voltage during hold-up time. |
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