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Applications of Smith Chart
Rating: 4.4 out of 5(23 ratings)
713 students

Applications of Smith Chart

Calculations of transmission line parameters using Smith Chart
Created byDr. Nagnath Hulle
Last updated 2/2021
English

What you'll learn

  • After completion of course students will be able to:
  • Convert impedance to admittance using Smith Chart
  • Calculate location of voltage maxima and minima on transmission line using Smith Chart
  • Calculate reflection coefficient using Smith Chart
  • Calculate input impedance of transmission line using Smith Chart
  • Calculate load impedance of transmission of transmission line using Smith Chart
  • Calculate location and length of single stub in single stub matching using Smith Chart
  • Calculate length of two stubs in double stub matching using Smith Chart

Course content

6 sections • 17 lectures • 1h 21m total length

  • Introduction to course on "Applications of Smith Chart"3:58

    Explore how the Smith chart simplifies calculating transmission line and matching circuit parameters, visualize impedance, reflection coefficients, and S-parameters, and perform single and two-step matching.

  • Basics of Smith Chart5:18

    Explore the basics of the Smith chart, including real and imaginary axes, resistance and conductance components, and the plotting of reactance and capacitance.

  • Plotting of impedances on Smith Chart3:24

    Plot impedances on the Smith chart by normalizing to the characteristic impedance, tracing real and imaginary axes, circles, and intersections to locate impedance points.

  • Converting impedances to admittances and Vice Versa1:27

Requirements

  • Bacics of Neteork Theory
  • Basics of transmission line

Description

Calculation of transmission line matching circuit parameters using analytical approach is lengthy process, but Smith Chart provides easy solutions to such problems. It is most commonly used tool in microwave and RF engineering to visualize complex quantities.

Smith Chart is circular plot and provides graphical representation of a complex mathematical equations.  It is also used to display multiple parameters simultaneously some of the parameters are impedance, admittance, reflection coefficient, scattering parameters.

Smith Chart consists of two sets of circles. First set is real circles (complete circles) whose center lie on the horizontal straight line of the Smith Chart and second set is imaginary circles (two arc circles) which lie on the either sides of the horizontal straight line. Apart from above unity real circle (complete circle) has lot of importance especially in calculation of line matching parameters.

While working matching transmission line parameters sometime it is convenient to use impedances and other time it is convenient to use admittances. Smith Chart allows use of normalized impedances for series circuits and normalized admittances for parallel circuits simultaneously.

The proposed course will cover calculation of following transmission line parameters.

1. Impedance to admittance conversion and vice versa

2. Standing wave ratio

3. Reflection coefficient

4. Location and impedance of voltage maxima and minima

5. Input impedance of transmission line

6. Output impedance of transmission line

7. Location and length of the stub in single stub matching

8. Lengths of two stubs in double stub matching



Who this course is for:

  • Students and researchers working in Electrical Engineering, Electronics Engineering, Microwave Engineering, Communication Engineering

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