ECEN 2260 - Spring 2016 - Circuits as Systems

Last revised on 1/20/2015

Instructor: Harry Hilgers

Office: TBD

Teaching Assistant: Priya Vemparala Guruswamy

The “Complex-Frequency-Domain” semester

Laplace – Bode - Fourier

The Giants of

Electrical Circuit Analysis in the Complex Frequency Domain

Spring 2016 office hours

Starting 1/19/2016

 ECEN 2260 ECEN 4167 5737 Monday Tuesday Wednesday Thursday Friday Harry x x 10 – 11 9:30 – 10:30 10 – 11 9:30 – 10:00 Priya x 3:30 – 4:30 10 – 11 Joshua x 2 – 3 11 – 12

Syllabus – More/Less

Review of complex numbers and phasors.

The Laplace Transform, Circuit Analysis with Laplace Transform

2nd Order Transient Response using the Laplace Transform

Many dynamic systems show a dominant 2nd order behavior

Newton’s Law, RLC circuits, mass-spring-damping system (car shock absorbers)

Dominant and non-dominant poles

Convolution

Frequency Response and Bode Diagrams

Filter circuits

Low-Pass, High-Pass, Band-Pass, Band-Stop, Notch

State Variable Filters

Chebychev

Bessel

Butterworth

Fourier Series

Fourier Transform

Feedback, stability, gain and phase margins

Block diagrams

Introduction to Design and Engineering Analysis

Real Circuits that do useful things

They are more complicated than the circuits in the Introductory Course.

High-level thinking.

Learn to look at upper level requirements from which the lower level requirements are derived.

To solve larger circuits, break them into smaller functional blocks

Loop and node equations can easily lead to algebraic mistakes. However, if you are not sure about your answers, you can always double check your functional expressions with these methods.

Approximations instead of exact numerical solutions

The equivalent  resistance for a 10 ohm/10% resistor in parallel with a 100 ohm/10% resistor still “equals”  around 10 ohm

Estimate the ORDER OF MAGNITUDE of your expected calculator/simulation output.

A 2+6 Henry Inductor?  Maybe you meant 10-6

A 2+6 Farad Capacitor?  At a high voltage this would be a huge capacitor. I wonder if this cap would fit inside the Grand Canyon

Once I saw a value of 33kohm ± 0.87563 ohm for a10% resistor …….. hmmmmm ……...

ECEN 2260 spring 2016 - Tentative Lecture Schedule

See D2L for the up-to-date version

Last revised on 12/28/2015 by HHH

Lecture-numbers/Lecture-dates are “more/less”.

You are expected to prepare lectures “well in advance”.

All lectures will be posted on D2L also “well in advance”.

There will be many unannounced quizzes.

They will be part of the grading “formula” in a TBD manner.

HW Review Sessions: Every Wednesday at 8:00 am

1B32 – just down the hall from the ECEE office

ECEN 2260 spring 2016 - Lecture Schedule

 Lectures and assignment due dates are subject to change. Monday Wednesday Friday ·    Jan. 11 Ø Lect. 1 Syllabus & Introduction Ø Lect. 2 Review material ·    Jan. 13 Ø Lect. 2 Review material ·    Jan. 15 Ø Lect. 3 Introduction to the Laplace transforms Ø Textbook sections 9-1, 9-2 HW 0 (Chapter 8 – Review) Due on Sunday night Jan. 17 at 11:30 PM in the D2L drop-box ·    Jan. 18 Ø No Class ·    Jan. 20 Ø Lect. 4 Laplace transforms of important functions Ø Textbook sections 9-2, 9-3, and 9-7 ·    Jan. 22 Ø Lect. 5 Laplace transform properties and examples Ø Textbook sections 9-2 and 9-7 HW1 Due (More Review) ·      Jan. 25 Ø Lect. 6 Transform of a periodic waveform. Inverse transform Ø Textbook section 9-4 ·      Jan. 27 Ø Lect. 7 Inverse transform: complex roots and other special cases Ø Textbook section 9-5 ·      Jan. 29 Ø Lect. 8 Using the Laplace transform to solve circuits problems Ø Textbook Section 9-6 and Chapter 10 HW2 due: Laplace Transform problems ·      Feb. 1 Ø Lect. 9 Network functions Ø Textbook Chapter 11 ·      Feb. 3 Ø Lect. 10 Step response and damping of a second-order circuit Ø Textbook Chapter 11 ·      Feb. 5 Ø Lect. 11 Computer data bus example, pole location vs. nature of response Ø Textbook Section 9-3 and Chapter 11 HW3 due ·    Feb. 8 Ø Lect. 11A Convolution and impulse response Ø Textbook Section 11-6 ·    Feb. 10 Ø Lect. 11B1 Convolution and impulse response Ø Lect. 11B2 Detailed example Ø Textbook Section 11-6 ·      Feb. 12 Ø Lect. 12 Sinusoidal Steady State – Laplace to Phasor Ø Textbook Section 11-5 HW4 due ·      Feb. 15 Ø Lect. 13 Bode diagrams 1 Ø Covered in Chapter 12, but lectures will follow these notes ·      Feb. 17 Ø Lect. 14 Bode diagrams 2 Ø Covered in Chapter 12, but lectures will follow these notes ·    Feb.19 Ø Lect. 15 Writing the transfer functions of some simple filters using frequency inversion HW5 due ·    Feb. 22 Ø Lect. 16  TBD ·    Feb. 24 Ø Exam #1 over ALL material HW1-4 ·        Feb. 26 Ø Lect. 17 Op-Amp Example Lead/Lag Mag -Phase asymptotes ·    Feb. 29 Ø Lect. 18 Cmplx poles ·    Mar. 2 Ø Lect. 19 Summary: asymptotes, 2nd order resp., low-Q Approx. ·    Mar. 4 Ø Lect. 20_21 Graphical construction of Bode plots HW6 due ·    Mar. 7 Ø Lect. 20_21 Graphical construction of Bode plots ·    Mar. 9 Ø Lect. 22 Intro to classical filters ·    Mar. 11 Ø Lect. 23 Butterworth and Chebychev filters Ø Textbook Chapter 14 HW7 due ·      Mar. 14 Ø Lect. 24_26 Block diagrams ·      Mar.16 Ø Lect. 24_26 Block diagrams ·      Mar. 18 Ø Lect. 24_26 Block diagrams HW8 due Mar. 21 ·        Spring break Mar. 23 ·        Spring break Mar. 25 ·        Spring break ·    Mar. 28 Ø Lect. 27 Fourier series: Introduction Ø Textbook Chapter 13 ·    Mar. 30 Ø Lect. 28 Fourier series: Waveform symmetries Ø Textbook Section 13.3 ·    April 1 Ø Lect. 29: Fourier series:  Steady-state response of a circuit driven by a Fourier series Ø Textbook Section 13-4 HW9 due ·    Apr. 4 Ø Lect. 30 TBD ·    Apr. 6 Ø Exam #2 over ALL material of HW5-8 ·    Apr. 8 Ø Lect. 31 Fourier series: examples Ø Textbook Sect 13-4 ·    Apr.11 Ø Lect. 32 Fourier series: examples and applications ·    Apr. 13 Ø Lect. 33 RMS values, average power, power factor Ø Textbook Sect 13-5 ·    Apr. 15 Ø Lect. 34_35 Fourier transform Ø Textbook Sects. 13-6 to 13-9 HW10 due ·      Apr. 18 Ø Lect. 34_35 Fourier transform ·      Apr. 20 Ø Lect. 36 Intro to feedback Ø Lect. 37 Feedback Ø Lect. 38 Notes on feedback systems ·      Apr. 22 Ø Lect. 39 Stability, gain and phase margins, feedback example HW11 due ·      Apr. 25 Ø Lect. 40 Op amp example: effect of negative feedback on gain, bandwidth, and output impedance ·      Apr. 27 Ø TBD ·      Apr. 29 Ø Lect. 41 Review for final exam HW12 due