EHB232E
Analysis of Circuits and Systems

e-mail: mustak.yalcin [at] itu.edu.tr


Description:

State and output equations of higher-order dynamic circuits. State transition matrix and properties. Zero- state, zero-input and total responses. Sinusoidal steady state. Finding the state and output equations of dynamic networks and systems in jw- domain. Phasors. Power. Three-phase systems. Finding the state and output equations of dynamic networks and systems in s-domain. Impedance and admittance. Stability and Routh Criteria. Network functions and parameters. Block and signal flow diagrams. Bode diagrams.

Course Catalogue Form: EHB232E

Textbooks




Lectures


Examples:
* Unstable in the sense of Lyapunov (internally unstable) but BIBO stable system
* Simulation on MATLAB of Unstable in the sense of Lyapunov (internally unstable) but BIBO stable system

Exercises:
* Exercise on state transition matrix and responses.

Videos:

  • Week -3

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • Phasor analysis
  • Properties of phasors
  • Representation of state-space equations
  • Transfer function
  • Kirchhoff’s Laws in the Frequence Domain

    Example:
    * Usage of Phasor
    * Usage of Phasor for RC Circuit
    * Usage of Phasor and MATLAB example

    Exercises:
    * Exercise on finding transfer function.

    Video:



  • Week -4

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • The Passive Circuit Elements in the Frequency Domain
  • The Concept of Impedance and Admittance
  • Resonance
  • Phasor diagram

    Exercises:
    * Exercise on impedance.

    Video:



  • Week -5

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • Sinusoidal Steady-State Power Calculation
  • Average Power
  • Complex, Real and Reactive Powers
  • Tellegen Theorem
  • Maximum Power Transfer

    Exercises:
    * Exercise on Power Calculations

    Circuit Simulations:
    Circuit Simulator Open : Example (Week 5, Page 12)


  • Week -6

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • Mesh-Current Method in Frequency Domain
  • Node-voltage Method in Frequency Domain
  • Network functions
  • Superposition of Sinusoidal Steady States
  • Thevenin - Norton Equivalent Circuits

    Exercises:
    * Exercise on analyzing circuit.
    * Example 1


  • Week -7

    Lecture Slides:
    Three-Phase Systems (PDF)

    Lecture Outline:
  • Y-connected source
  • Line-to-line voltage
  • Delta-connected source
  • Load in Three Phase Circuit
  • Delat-to-Y
  • Power calculation in balanced three-phase circuits

    Reading:

    - Chapter 11, Electric Circuits 8th Edition by James W. Nilsson (Author), Susan A. Riedel

    Videos:


  • Week -8

    Lecture Slides:
    Laplace Transform in Circuit Analysis

    Reading:
    K. H. Lundberg, H. R. Miller and D. L. Trumper, "Initial conditions, generalized functions, and the laplace transform troubles at the origin," in IEEE Control Systems Magazine, vol. 27, no. 1, pp. 22-35, Feb. 2007.


    Matlab Live Script:
    Transfer Function Analysis of Dynamic Systems, An interactive lesson that reviews Laplace transforms (Part0_ConceptReviewSoln.mlx)

  • Week -9

    Lecture Slides:
    Laplace Transform in Circuit Analysis-Cont. (PDF)

    Matlab Live Script:
    * Transfer Function Analysis of Dynamic Systems, An interactive lesson that teaches how to derive transfer functions and compute time responses analytically and in MATLAB (Part1_TransferFunctionBasicsSoln.mlx).
    * Transfer Function Analysis of Dynamic Systems, Pole-Zero Analysis (Part2_TransferFunctionBasicsSoln.mlx)


  • Week -10

    Lecture Slides:
    Laplace Transform in Circuit Analysis-Cont. (PDF)


  • Week -11

    Lecture Slides:
    Laplace Transform in Circuit Analysis-Cont. (PDF)

    Example:
    * Example 1


  • Week -12

    Lecture Slides:
    Block diagrams and signal-flow graph


  • Week -13

    Lecture Slides:
    Bode plot




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