EEF232E
Analysis of Circuits and Systems

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


Description:

Sinusoidal steady state. Finding the state equations of dynamic networks and systems in jw-domain. Phasors. Complex Power. Three-phase systems. Finding the state equations of dynamic networks and systems in s-domain. Impedance and admittance. Stability and Routh Criteria. Network functions and parameters. Course Catalogue Form: EEF232E

Textbooks



Open Access textbook


AC Electrical Circuit Analysis: A Practical Approach , by J. M. Fiore, LibreTexts


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



Videos:

  • Week -3

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • Sinusoidal Steady-State Analysis
  • Phasor analysis
  • Properties of phasors
  • Representation of state-space equations
  • Transfer function

    Example:
    * Usage of Phasor
    * 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:
    * Usage of Phasor for RC Circuit
    * Exercise on impedance.
    * Example 1.5.1 and 1.5.2 for Impedance Thanks to LibreTexts

    Video:



  • Week -5

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • Phasor diagram
  • Sinusoidal Steady-State Power Calculation
  • Average Power
  • Complex, Real and Reactive Powers
  • Lagging & Leading power factor
  • pf Correction
  • Tellegen Theorem

    Exercises:
    * Exercise on Power Calculations
    * Example 7.2.1 for Power Calculation Thanks to LibreTexts
    * Example 7.3.1 for pf and 7.3.2 pf correction Thanks to LibreTexts
    * Efficiency versus Maximum Power Transfer

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

    Video:
    About Power Calculation



  • Week -6

    Lecture Slides:
    Sinusoidal Steady-State Analysis (PDF)

    Lecture Outline:
  • Maximum Power Transfer
  • Average Power Due to Several Sinusoidal Inputs
  • Mesh-Current Method in Frequency Domain
  • Node-voltage Method in Frequency Domain
  • Network functions
  • Example: Low Pass Filter
  • Superposition of Sinusoidal Steady States
  • Thevenin - Norton Equivalent Circuits
  • Examples

    Exercises:
    * Exercise on analyzing circuit.
    * Example 1
    * Example 6.3.1 and Example 6.3.2 for Mesh Analysis Thanks to LibreTexts
    * Example 6.2.1 and Example 6.2.2 for Nodal Analysis Thanks to LibreTexts

    Video:
    About Maximum Power Transfer Theorem

    About Mesh Analysis

    About Nodal Analysis

    About Thevenin Equivalent Circuit



  • 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

    Lecture Outline:
  • Laplace Transform
  • Properties of the Laplace Transform
  • Inverse Laplace Transform
  • The Convolution Theorem
  • Analysis of state space equation
  • Network Functions
  • Characteristic polynomial

    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)

    Lecture Outline:
  • Laplace Transform
  • Circuit elements in the s-domain
  • Mesh currents method
  • Node-voltage Method
  • Network Parameters
  • Combinations of two-port networks
  • Reciprocal Network
  • Thevenin - Norton Equivalent Circuits




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