Week 13: 23-03-2020: Electronics

EE3C11 2020 Electronics

Zoom Web Lectures

Please study the topics listed in the presentations section below.

color coded resistors

Modeling of negative feedback circuits

Download the poster: “Modeling of negative feedback

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

Accuracy, bandwidth and frequency stability of negative feedback amplifiers

Download the poster: “Derive Controller Requirements from Amplifier Specifications

Bandwidth of a negative feedback amplifier

For design purposes it is convenient to decouple the definition of the bandwitdth of a negative feedback amplifier from its desired frequency characteristic. This can be achieved by defining the bandwidth of a negative feedback amplifier by that of its servo function.

Presentation

The presentation “Bandwidth of a negative feedback amplifier shows that the bandwidth of a negative feedback amplifier will be defined as that of its servo function.

Video

Bandwidth definition for negative feedback amplifiers (3:40)

Study

Chapter 11.4.1

Example: Bandwidth of a negative feedback transimpedance integrator

Presentation

The presentation “Bandwidth Transimpedance Integrator shows the bandwidth definition for a negative feedback transimpedance integrator.

Video

Example Bandwidth definition for an OpAmp Integrator Circuit (7:12)

study

Chapter 11.4

Butterworth or Maximally Flat Magnitude (MFM) responses

The -3dB cut-off frequency of systems with a Butterworth or MFM transfer equals the Nth root of the magnitude of the product of their N poles, where N is the order of the system.

In this course we will design the frequency response of a feedback amplifier in such a way that the servo function obtains an MFM or Butterworth filter characteristic over the frequency range of interest. Design procudures for other filter characteristics, such as, Bessel or Chebyshev do not differ. Only the numeric relation between the -3dB bandwidth and the gain-poles product of the loop gain will be different.

Presentation

The presentation “Butterworth or Maximally Flat Magnitude (MFM) responses shows the Laplace transfer functions, the pole patterns and the magnitude characteristics of first, second and third order Butterworth transfers.

Video

Butterworth frequency responses (4:07)

Study

Chapter 11.4.3

MFM bandwidth of an all-pole feedback amplifier

The product of the loop gain and the magnitude of the dominant poles of the loop gain is a design parameter for the -3dB MFM bandwidth of an all-pole negative feedback amplifier .

Presentation

The presentation “All-pole loop gain and servo bandwidth proofs the above.

Video

All-pole Loop Gain and Servo Bandwidth (5:13)

Study

Chapter 11.4.3

Determination of the dominant poles of the loop gain

Presentation

The presentation “Dominant and non-dominant poles in feedback systems illustrates the procedure for separating dominant poles and non-dominant poles on feedback systems.

Video

Dominant poles and non-dominant poles of the loop gain (8:53)

Study

Chapter 11.4.3

Determination of the requirement for the gain-bandwidth product of an operational amplifier

The requirement for the GB-product of an operational amplifier can be derived from the loop gain-poles product (for dominant poles only).

Presentation

The presentation “Determination of OpAmp GB-product requirement illustrates the procedure for deriving the requirement for the gain-bandwidth product of the operational amplifier from the expression of the loop gain.

Video

Determination of GB product requirements for operational amplifiers (5:35)

Study

Chapter 11.4.3

Frequency stability of negative feedback systems

A system is stable if its responses to bounded excitations are also bounded.

A lumped system is said to be stable if the solutions of its characteristic equation (the poles) all have a negative real part.

Presentation

The presentation “Frequency stability of feedback amplifiers presents three ways to determine the stability of feedback systems.

Study

Chapter 11.5

SLiCAP source files