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首页> 外文会议>American Society for Engineering Education Annual conference Exposition >A Method for Obtaining the Transfer Function of Inverting and Non-inverting Op-amp Circuits Based on Classical Feedback Theory
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A Method for Obtaining the Transfer Function of Inverting and Non-inverting Op-amp Circuits Based on Classical Feedback Theory

机译：一种基于经典反馈理论获取反相和非反相运算量级电路的传递函数的方法

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摘要

This paper presents an alternate approach for deriving the transfer function (gain, bandwidth) for both inverting and non-inverting Op-amp circuits. The approach uses classical feedback theory, in which the Op-amp circuit is represented in terms of its corresponding closed-loop, (feedback) block diagram. The characteristics of the Op-amp (open-loop), together with the equivalent transfer function of the accompanying circuit components, are incorporated into the classical, general feedback block diagram. The equivalent transfer functions (pre-filter and feedback) are obtained by means of superposition. Then, all the blocks are reduced into a single transfer function by means of the simplification formula: P(s)G(s)/(1+G(s)H(s)). The resulting transfer function shows the gain for each configuration (-R{sub}F/R{sub}A for the inverting Op-amp and 1+R{sub}F/R{sub}A for the non-inverting configuration) and bandwidth. It also shows that the Gain Bandwidth product is constant for the non-inverting configuration, but not so for the inverting configuration. This approach is straightforward and insightful, specially for those students who have previously been exposed to feedback theory and who have backgrounds in fields other than electronics.
机译：本文介绍了用于导出反相和非反相运算单位电路的传递函数（增益，带宽）的替代方法。该方法使用经典反馈理论，其中OP-AMP电路以其对应的闭环表示（反馈）框图表示。 OP-AMP（开环）的特性以及随附电路组件的等效传递函数结合到经典一般反馈框图中。通过叠加获得等效的传递函数（预过滤器和反馈）。然后，通过简化公式将所有块减少到单个转移功能中：P（s）g（s）/（1 + g（s））。得到的传递函数显示了用于反相OP-AMP的每个配置（-R {Sub} F / R {Sub} A的增益，以及用于非反相配置的1 + R {sub} a的1 + r {sub} a）和带宽。它还表明，增益带宽产品对于非反相配置是恒定的，但不是替换配置。这种方法是简单的和洞察力，特别适用于那些先前接触过反馈理论的学生，并且在电子产品以外的字段中拥有背景。

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