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AN1623 数据表(PDF) 5 Page - STMicroelectronics |
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AN1623 数据表(HTML) 5 Page - STMicroelectronics |
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5 / 6 page  AN1623 - APPLICATION NOTE 5/6 2.2 Voltage Loop Precision Calculation 2.2.1 Theoretical Calculation Let’s show some different steps in order to calculate the voltage precision loop. According to Figure 4 it is simple to verify that: Equation 24 where Equation 25 ∆V lim tot is the sum of: Equation 26 where Equation 27 Equation 28 Equation 29 Equation 30 Equation 31 Substituting Equation 27 and Equation 31 in Equation 26 and considering the absolute value of terms: Equation 32 Equation 32 is more important in order to calculate ∆V lim tot and shows many parameters that characterize voltage variation. It can be observed that Vio=4mV, Vref=2.5V and V1<5mV, so the term Vio+V1 can be neglected with respect to Vref . 2.2.2 Practical Example In order to better understand the formula, let’s take a practical example that uses absolute and relative tolerances typical for TSM011 applications. Let’s consider for example: see Footnote 1 Assume that Iout will vary between 0 and 5 mA, therefore: Vlim = 18V Gm = 3.5mA/mV R1 = 30kΩ - R2 = 186kΩ rewriting Equation 32 Equation 33 it is possible to obtain a good current variation () 1 io ref 1 2 lim V V V R R 1 V − − + = m out 1 G I V = Iout lim 1 R lim 2 R lim Vio lim Vref lim tot lim I I V V V V ∆ + ∆ + ∆ + ∆ + ∆ = ∆ 1 2 ref lim Vref lim R R 1 V V V + = ∆ ∆ = + − = ∆ ∆ = 1 2 io lim Vio lim R R 1 V V V + − = ∆ ∆ = 1 2 m io lim Iout lim R R 1 G 1 I V V () 1 io ref 1 2 lim 2 R lim V V V R 1 R V V − − = ∆ ∆ = () 1 io ref 2 1 2 1 lim 1 R lim V V V R R R V V − − − = ∆ ∆ = () () 1 1 io ref 2 1 2 2 1 io ref 1 out 1 2 m io 1 2 ref 1 2 tot lim R V V V R R R V V V R 1 I R R 1 G 1 V R R 1 V R R 1 V ∆ − − + + ∆ − − + + ∆ + + + ∆ + + + ∆ + = % 5 . 0 V V ref ref ± = ∆ % 1 R R 1 1 ± = ∆ % 1 R R 2 2 ± = ∆ mV 2 Vio ± = ∆ mA 5 . 2 Iout ± = ∆ 1 1 ref 1 2 2 2 ref 1 2 out 1 2 m io 1 2 ref ref 1 2 ref tot lim R R V R R R R V R R I R R 1 G 1 V R R 1 V V R R 1 V V ∆ + ∆ + + ∆ + + + ∆ + + + ∆ + = 2.3% V V lim tot lim ± = ∆ |
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