Spring 2008

 

Middle East Technical University

Electrical and Electronics Engineering Department

 

EE 202

CIRCUIT THEORY II

 

 

Instructors:  Ç. Candan, İ. Erkmen, E. Tuncer, Z. Ünver, Y. Serinağaoğlu

                        

Reference Texts

 

1.    Electric Circuits, J. W. Nilsson and S. A. Riedel,

       Pearson Prentice Hall, 7^th Edition.

2.    The Analysis and Design of Linear Circuits, R. E. Thomas and A. J. Rosa,  

 Wiley.

3.    Fundamentals of Electric Circuits, C. K. Alexander and M. N. O. Sadiku,

       Mc Graw–Hill, 3^rd Edition.

 

 

Course Outline

 

I.                    Linear Time-Invariant Dynamic Circuits  (6 Hrs.)

 

1.    Node, modified node and mesh equations.

2.    Homogeneous, particular and complete solutions.

       Zero-input and zero-state solutions.

   Linearity and time-invariance.

3.    Complex exponential function.

4.    Natural response; natural frequencies; bounded/unbounded responses;

       modes and mode excitation.

5.    Particular solution for complex exponential inputs.

   Phasors; KVL and KCL in the phasor domain; phasor domain  elements,   

       impedance and admittance; phasor domain circuits.

 

II.                  Sinusoidal Steady-State (SSS) Analysis  (16 Hrs.)

 

1.        Periodic functions; average and effective values.

2.        Responses of LTI dynamic circuits to sinusoidal excitations;

       transient/steady-state responses.

3.        Analysis of phasor domain circuits.

4.        Passive one-ports: resistive, inductive and capacitive one-ports.

5.        Phasor diagrams.

6.        Superposition in the SSS.  

7.        Instantaneous, average, complex, real, reactive and apparent powers;power factor; conservation of power.

8.        Power calculations in the SSS; superposition in power calculations.

9.        Power factor correction.

10.    Maximum power transfer.

 

III.                Balanced Three-Phase Circuits  (4 Hrs.)

 

1.    Three-phase voltage sources and loads; Y and D connections.

2.    Analysis of balanced three-phase circuits.

3.    Power calculations.

 

IV.               Complex Frequency Domain Analysis  (10 Hrs.)

 

1.        Laplace transformation.

Real rational functions; poles and zeros; partial fraction expansion.

2.        Solution of formulation equation by Laplace transformation.

3.        Complex frequency domain voltages and currents;  KVL and KCL in the complex  frequency domain; complex frequency domain elements,  impedance and admittance; complex frequency domain circuits.

4.    Analysis of complex frequency domain circuits.

5.    System functions: input and transfer functions; impulse response and  

       convolution integral; step response; SSS response.

 

V.                 Frequency Response  (10 Hrs.)

 

1.   Frequency response functions; magnitude and phase characteristics.

2.      Filters

      First order lowpass, highpass and allpass passive LC filters.

      Second order lowpass, highpass, bandpass, bandstop and allpass passive  LC 

      and active RC filters.

3.      Parallel and series resonance: resonant frequency, quality factor,resonance  circuits with finite-Q capacitors and inductors.

4.   Magnitude and frequency scalings.

5.   Bode plots.

 

VI.               State Equations  (6 Hrs.)

 

1.       State equation formulation of LTI dynamic circuits.

2.       Solution of state equation; state transition matrix.

3.       State equation formulation of time-varying and nonlinear dynamic circuits.