[Circuit] SCP 應用電路

電路知識：short 保護電路
功能：Short-Circuit Protection
線上模擬

N | V_{p} - V_{n} | > V_{r e f} \Rightarrow Short

限制條件

{\begin{cases} R_{4} = N R_{3} \\ R_{2} = N R_{1} \\ A_{o} ≫ 1 + \frac{R 4}{R 3} \end{cases}

上部分的

V_{o}

值

with superposition \begin{aligned} select V_{p} \Rightarrow V_{o, p} & = V_{p} \frac{R_{2}}{R_{1} + R_{2}} \frac{R_{3} + R_{4}}{R_{3}} \\ select V_{n} \Rightarrow V_{o, n} & = - V_{n} \frac{R_{4}}{R_{3}} \\ V_{o} & = V_{o, p} + V_{o, n} \\ = V_{p} \frac{R_{2}}{R_{1} + R_{2}} \frac{R_{3} + R_{4}}{R_{3}} - V_{n} \frac{R_{4}}{R_{3}} \end{aligned}

下部分的

V_{o}

值

with superposition \begin{aligned} select V_{n} \Rightarrow V_{o, n} & = V_{n} \frac{R_{2}}{R_{1} + R_{2}} \frac{R_{3} + R_{4}}{R_{3}} \\ select V_{p} \Rightarrow V_{o, p} & = - V_{p} \frac{R_{4}}{R_{3}} \\ V_{o} & = V_{o, n} + V_{o, p} \\ = V_{n} \frac{R_{2}}{R_{1} + R_{2}} \frac{R_{3} + R_{4}}{R_{3}} - V_{p} \frac{R_{4}}{R_{3}} \end{aligned}

設計為放大 N 倍的

N | V_{p} - V_{n} |

\begin{aligned} \frac{R_{2}}{R_{1} + R_{2}} \frac{R_{3} + R_{4}}{R_{3}} & = \frac{R_{4}}{R_{3}} = N \\ R_{2} (R_{3} + R_{4}) & = N \cdot R_{3} (R_{1} + R_{2}) \\ ★ R_{4} & = N \cdot R_{3} \\ R_{2} (R_{3} + R_{4}) & = R_{2} (R_{3} + N R_{3}) \\ = (1 + N) R_{2} R_{3} \\ (1 + N) R_{2} R_{3} & = N \cdot R_{3} (R_{1} + R_{2}) \\ R_{2} R_{3} + N R_{2} R_{3} & = N R_{1} R_{3} + N R_{2} R_{3} \\ R_{2} R_{3} & = N R_{1} R_{3} \\ ★ R_{2} & = N R_{1} \end{aligned}

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