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首页> 外文期刊>Circuits and Systems I: Regular Papers, IEEE Transactions on >Comparative Analysis of Simulation-Based Methods for Deriving the Phase- and Gain-Margins of Feedback Circuits With Op-Amps
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Comparative Analysis of Simulation-Based Methods for Deriving the Phase- and Gain-Margins of Feedback Circuits With Op-Amps

机译：基于仿真的运放反馈电路的相位和增益裕度推导方法的比较分析

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摘要

Ten methods for finding through simulations the small-signal phase and gain margins of feedback circuits based on op-amps are described and analyzed in this mostly tutorial paper. The testbenches employed by these methods are presented and the corresponding analytical expressions of the return ratio are derived and compared against their “ideal” counterpart, obtained with standard circuit analysis; the requirement that the return ratio should not depend on the point it was measured at is also verified. These analyses are performed on a fairly general case: a generic reciprocal two-port network that closes a feedback loop around an op-amp acting as the forward amplifier. The four main types of op-amps were considered. The limitations of some of the tested methods are then highlighted by simulations. Besides the detailed analysis of previously reported methods, the paper proposes a novel method for deriving the return ratio of feedback circuits, that employs only current stimuli; it is demonstrated analytically that this method can be used for bilateral circuits, not only for op-amp-based (unilateral) ones. Also, a recent method for deriving directly the phase margin of a circuit is extended to estimating the gain margin, too. Conclusions on the accuracy and suitability of the analyzed methods for practical circuit cases are drawn. These results are then extended to other circuit topologies.
机译：在这篇主要的教程文章中，描述并分析了通过仿真找到基于运放的小信号相位和反馈电路的增益裕度的十种方法。介绍了这些方法所使用的测试平台，并推导了相应的回报率分析表达式，并将其与通过标准电路分析获得的“理想”对应关系进行比较；还证实了回报率不应该依赖于测量点的要求。这些分析是在相当普遍的情况下进行的：通用的双向两端口网络，该电路关闭了用作正向放大器的运算放大器周围的反馈环路。考虑了四种主要类型的运算放大器。然后通过仿真突出一些测试方法的局限性。除了对先前报道的方法进行详细分析之外，本文还提出了一种仅使用电流激励来推导反馈电路的返回比的新颖方法。分析表明，该方法可用于双边电路，不仅适用于基于运算放大器的（单边）电路。而且，用于直接推导电路的相位裕度的最新方法也被扩展到估计增益裕度。得出了分析方法在实际电路案例中的准确性和适用性的结论。然后将这些结果扩展到其他电路拓扑。

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