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AN4149 Scheda tecnica(PDF) 31 Page - STMicroelectronics |
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AN4149 Scheda tecnica(HTML) 31 Page - STMicroelectronics |
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31 / 43 page ![]() DocID023523 Rev 2 31/43 AN4149 FOT PFC boost control loop where the unity gain factor Go is given by the following expression regardless of the control method and the characteristics of the control IC: Equation 86 In the previous expression Vc is the error signal of the voltage control loop (voltage on the COMP pin for the L4984D), that is, the output of the error amplifier, and VCO the "zero- power" level of the control voltage, that is, the burst mode threshold of COMP voltage (2.4 V, typ.). The effective control voltage Vcomp - VC0, can be expressed for the L4984D starting from the expression of the variation of signal out from the modulator with respect to the E/A output (COMP) change, using the formula indicated in the datasheet of the L4984D (equation 87). Equation 87 Where km is the small signal multiplier gain assumed here equal to the large single gain km (typ. 0.304). From this expression, replacing: Equation 88 and rewriting equation 31 which describes the maximum inductor peak current as: Equation 89 the effective control voltage Vcomp-VCO can be found: Equation 90 Then this expression can be used to find the unity gain factor (equation 86): o C C out out o C V V V P G ⋅ − ⋅ = ) ( 0 () 2 _ 4 . 2 FF MULT COMP m OFFSET CS CS V V V V k V V ⋅ − ⋅ + = p AC FF K V V ⋅ ⋅ = 2 Lpk S CS I R V ⋅ = + ⋅ ⋅ ⋅ ⋅ ⋅ = 2 1 2 r AC out out pk K PF V V I IL η + ⋅ ⋅ ⋅ ⋅ = − 2 1 2 0 r m in p S C COM P K K P K R V V |
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