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AN3400 Datasheet(PDF) 41 Page - STMicroelectronics |
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AN3400 Datasheet(HTML) 41 Page - STMicroelectronics |
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41 / 78 page  AN3400 NPN storage time phase modeling Doc ID 018840 Rev 1 41/78 System of equations 18 in which VBEn=constant, and for RBase-npn(t) an increasing variability law, of the following type, is imposed: Equation 10 where coefficients α 1 and n (this last integer number) are determined so that RBase-npn(t) has a fixed and constant mean value RBase-npn-mean during the NPN storage time period of length equal to Δ npn seconds: Equation 11 Maintaining constant the TStorage-npn=t5 − t4 time, with an increase of the function RBase-npn(t) order n, so also the base resistance modulation effect approximation changes with a proportional increase of the negative peak of IBnpn-off current increases, as the following shows: Figure 24. Variability of the extractive current negative peak IBnpn-off versus variability of the integer n with storage time fixed () () + ⋅ ⋅ − ⋅ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + ⋅ ⋅ − = − − − − npnsto Cp b npnsto Cn npn Base S b b npnsto Cn V R C 1 V R R R 1 R C 1 t V dt d () () npn Base S BEn npn Base S S R R C V R R C V − − + ⋅ − + ⋅ + () () npnsto Cp b npnsto Cn b npnsto Cp V R C 1 V R C 1 t V dt d − − − ⋅ ⋅ − ⋅ ⋅ − = () ( ) t V = t V 4 npncon Cn 4 npnsto Cn − − + − () ( ) t V = t V 4 npncon Cp 4 npnsto Cp − − + − n 1 npn Base t ) t ( R ⋅ α = − npn t 0 Δ ≤ ≤ with () () () = Δ + ⋅ Δ ⋅ = α ⇒ ⋅ Δ = + − − Δ − − − ∫ 1 n npn npn mean npn Base 1 0 npn Base npn mean npn Base 1 n R dt t R 1 R npn 4 5 npn Storage npn t t T − = = Δ − (by imposing ) () ()n 4 5 mean npn Base t t 1 n R − + ⋅ = − − AM09814v1 |
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