Day 5

color coded resistors

Overview of the program

  1. Discussion of the exercises from previous days

    Day5SLiCAP.zip

  2. Presentations

    Poster

    Application of Negative Feedback

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    Modeling of negative feedback circuits

    Two-step design of negative-feedback amplifiers

    The design of negative-feedback amplifiers can be performed in two steps:

    1. The design of the ideal gain of the amplifier. This comprises the design of the structure of the amplifier with feedback networks and nullors as ideal controllers.
    2. The design of the controller(s) (also error amplifiers)

    This two-step design method requires that butgets for performance limitations of the amplifier are split into error budgets for the feedback networks and error budgets for the controller.

    Presentation

    The presentation “Two-step design of negative feedback amplifiers shows that a feedback model that supports the two-step design of negative feedback amplifiers will tell us in which way and to what extent performance limitations of the amplifier are affected by performance limitations of the controller(s).

    Study

    Chapter 10.1

    Feedback model of Black

    In 1927, Black built the first negative feedback amplifier. The feedback model of Black is commonly used to evaluate the dynamic performance of negative feedback systems. However, Black’s feedback model is not optimally suited for the analysis of dynamic behavior of electronic feedback amplifiers and providing meaningful design information from such analysis.

    Presentation

    The presentation “Feedback model of Black introduces the feedback model of Black and shows its limitations for the analysis of electronic feedback circuits.

    Study

    Chapter 10.2

    Asymptotic-gain feedback model

    The asymptotic-gain feedback model provides a solid base for relating controller imperfections such as:

    1. Static (DC) gain limitation
    2. Bandwidth limitation
    3. Weak nonlinearity (differential gain)

    to important performance limitations of the amplifier:

    1. Gain inaccuracy
    2. Frequency response
    3. Differential gain

    Presentation

    The presentation “Asymptotic-gain model introduces the asymptotic-gain feedback model.

    Study

    Chapter 10.3.1, 10.3.2

    Selection of the loop gain reference variable

    The analysis of feedback circuits with the asymptotic-gain feedback model gives the same result as network analysis techniques. However, if the loop gain reference is selected in a proper way, the asymptotic-gain model provides much more design information and it facilitates two-step design of negative feedback circuits.

    Presentation

    The presentation “Selection of the loop gain reference illustrates the way in wich the loop gain reference should be selected such that the model provides meaningful design information.

    Study

    Chapter 10.3.3, 10.3.4

    Port of impedance single-loop feedback amplifiers

    The port impedance of single-loop feedback amplifiers can be expresses in tems of the asymptotic-gain feedback model.

    Presentation

    The presentation “Port impedance of single-loop feedback amplifiers shows the way in which this can be done.

    Study

    Chapter 10.3.6

  3. Guidance with homework

color coded resistors

Homework

The theory presented in day 5 will be applied in the design of the active antenna. Please use SLiCAP as documentation tool.

Active antenna

  1. In the previous lecture, we created a SLiCAP small-signal model of the ADA4817 (except for the output impedance of this device).
    1. Determine the small-signal DC output resistance of this device and verify the result with SLiCAP
    2. Adjust the small-signal output impedance of the SLiCAP model of the ADA4817 such that it matches the data from the data sheet
    3. Make a SLiCAP small-signal model of your antenna amplifier and select the voltage-controlled voltage source in the small-signal model of the ADA4817 as loop gain reference. Use a capacitive source for the antenna.
      1. Plot the magnitude characteristics of the asymptotic gain, the gain, the loop gain, the direct transfer and the servo function, over the frequency range of interest, in one graph.
      2. Plot the phase characteristics of the asymptotic gain, the gain, the loop gain, the direct transfer and the servo function, over the frequency range of interest, in one graph.