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AN3112 数据表(PDF) 28 Page - STMicroelectronics |
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AN3112 数据表(HTML) 28 Page - STMicroelectronics |
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28 / 36 page ![]() Designing a fixed-off-time PFC AN3112 28/36 Doc ID 16820 Rev 3 Equation 59 Equation 60 From Equation 56 and Equation 59, solving the following equation: Equation 61 And then substituting K1 value into the Equation 60 expression, the k2 parameters are obtained: Equation 62 From the values of K1 and K2 it is possible to calculate the time constant τ =(R1//R2) C necessary to achieve the desired TOFF@90 Vac: Equation 63 Now, by selecting a capacitor C in the hundred picofarad range or a few nanofarads, for example a C =220 pF, it is possible to determine the required equivalent resistance value: Equation 64 From Equation 57 R and R0 are found: [] [] [] ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⎟⎟⎠ ⎞ ⎜⎜⎝ ⎛ + + ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⋅ + − − ⋅ + ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ ⎟ ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎜ ⎝ ⎛ + ⋅ + ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ ⋅ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + ⋅ − − ⋅ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + ⋅ = ρ − − F min mult ZCDtrigger k 1 1 F min mult ZCDclamp 1 F min mult F min max min mult ZCDtrigger k 1 1 F min max min mult ZCDclamp 1 F min max min mult 1 min mult V V V ln ) k ( V V V ) k 1 ( V V ln V VAC VAC V V ln ) k ( V VAC VAC V V ) k 1 ( V VAC VAC V ln ) k , V ( 1 1 [] [] ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⎟⎟⎠ ⎞ ⎜⎜⎝ ⎛ + + ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⋅ + − − ⋅ + ⋅ − − = − F min mult ZCDtrigger k 1 1 F min mult ZCDclamp 1 F min mult 1 1 min mult 2 V V V ln k V V V ) k 1 ( V V ln k 1 1 ) k , V ( k 1 0 ) k , V ( x 1 min mult = ρ − ρ 903 . 0 K1 = ) k , V ( k K 1 min mult 2 2 = 17 . 11 K2 = 2 min OFF K ) VAC ( T = τ ns 35 . 336 17 . 11 s 76 . 3 = µ = τ C Req τ = Ω = = k 53 . 1 pF 220 ns 35 . 336 R eq |
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