Spring 2004

EE 202  : Circuit Theory II

Middle East Technical University

Electrical and Electronics Engineering Department

 

Course Outline:

 

EE 202 is the second foundational course on circuit analysis. The introduced topics are: time, frequency and s-domain analysis of Nth order dynamic circuits, characterization of Nth order dynamics in terms of transient, steady-state, zero-input, zero-state responses,  examination of AC circuits -steady-state analysis, i.e. phasor domain, AC power calculations, three phase power calculations-, and an application of frequency domain analysis to filter design. If time permits, an illustration of the state-space methods (state equations) on non-linear circuits will be given.

 

In our curriculum, EE 201 and EE 202 courses serve two purposes. The first purpose is to introduce the circuit analysis methods and illustrate the application of these methods.  The second one is to introduce the basic concepts of linear system theory through the study of circuits. The linear system theory is a well founded theory that is used in diverse areas such as the mechanical system analysis, control theory, signal processing, biology, astronomy etc. The linear system theory have highly useful tools for analysis if the governing equation of a dynamic system can be represented in differential or difference equation form. Some of these tools are also introduced in EE 202 through the study of dynamic circuits.

 

 

Instructors:

Dr. Ismet Erkmen, Dr. Engin Tuncer, Dr. Yildirim Uctug, Dr. Zafer Unver, Dr. Cagatay Candan

 

Reference Books:

1.      The Electric Circuits, J.W. Nilsson and S.A. Riedel, Prentice Hall 1996 (6th edition or newer).  TK454 N54 2000 (Library  Call #)

2.      The Analysis and Design of Linear Circuits, R.E. Thomas and A.J. Rosa 1998 (2nd edition or newer)  TK454 T466

3.      Linear and Nonlinear Circuits, L.O. Chua, C.A. Desoer and E.S. Kuh, McGraw-Hill, 1987.  TK454 C559

The reference books can be checked out from the reserve section of the library.

 

 

 

Topics:

1. Systematic Methods for the Analysis of Dynamic Circuits

  • Tableau Analysis
  • Node Analysis, Modified Node Analysis, State Equation Formulations

 

 

2. Response of Nth order Dynamic Circuit

  • Homogeneous Solution, Particular Solution
  • Zero-Input, Zero-State Solutions
  • Modes of the circuit (natural frequencies)
  • Methods for solving scalar Nth order const coef dif. equations
  • Methods for solving 1st order N dimensional matrix differential eqn (state eqn.'s)

3. S Domain Analysis

  • Laplace Transform, its properties, important transform pairs etc.
  • Pole - Zero Diagrams
  • Inverse Laplace Transform, partial fraction Expansions
  • Circuit Analysis with Laplace Transforms
  • Network Functions (Transfer Functions)
  • Impulse Response
  • Step Response

4.  Sinusoidal Steady State Analysis

  • Solution of Nth order scalar differential eqn. with sinusoidal excitation
  • Alternative methods for solution with complex exponential input
  • Phasor domain analysis
  • Application of phasor domain for circuit analysis with node, mesh, superposition methods.
  • AC power calculations, RMS discussions, power factor, complex power

5. Balanced Three Phase Circuits

  • Definition of phase and line voltage, currents
  • Delta - Y connections, Delta - Y transformation
  • Three Phase Power Analysis
  • Power methods for the analysis of the transmission line problems

6. Filter Design: Application of Frequency Domain Analysis

  • High pass, Low Pass, Band pass filters
  • Amplitude and Phase Response
  • Analysis of active and passive filters (RLC, opamp)
  • Bode Plots
  • Revisiting the state eqn. formalism,non-linear elements, oscillators (time permits)  

C.Candan

(Section 05)