Lecture 7 Smith Chart

Lecture 7 Smith Chart - Lecture Lecture7 SmithChart Hayt...

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cture Lecture 7 Smith Chart Hayt CH 11 Objective: Develop skill in using Smith Chart for AC Tx line analysis 1 ECSE 352 AC Tx Line Notes (c) D. Davis 2011
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ith Chart Smith Chart e Smith Chart is a graphical tool used to model The Smith Chart is a graphical tool used to model standing wave behaviour on transmission lines (this can be extended to other standing wave systems such as waveguides). e chart represents the complex plane as a The chart represents the complex plane as a series of interconnections between circles. The chart is designed to directly map the ratio of voltage standing waves to current standing waves. ECSE 352 AC Tx Line Notes (c) D. Davis 2011 2
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ith Chart Smith Chart eal Axis oriz Real Axis Horiz Imag. Axis Vert. Radius Mag. Г ECSE 352 AC Tx Line Notes (c) D. Davis 2011 3
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ith Chart Smith Chart e real axis values range from 0 to infinity with The real axis values range from 0 to infinity with real 1 at the center of the chart. e imaginary axis follows the outer perimeter of The imaginary axis follows the outer perimeter of the chart. With values ranging from 0 to infinity ith positive 1 near the middle of the upper arc with positive 1 near the middle of the upper arc and negative 1 near the middle of the lower arc. short circuit (SC) lies on (0,0) while an open A short circuit (SC) lies on (0,0) while an open circuit (OC) lies on the infinity (opposite side of chart to the SC). ECSE 352 AC Tx Line Notes (c) D. Davis 2011 4
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ith Chart Smith Chart ort or Open Ct Short or Open Ct ECSE 352 AC Tx Line Notes (c) D. Davis 2011 5
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ith Chart Smith Chart e position on the chart will be a function of The position on the chart will be a function of the real and imaginary components of the ad load. The chart is a normalized function: ܼ ܮ ܼ ܮ ܼ ݋ The load is normalized by the characteristic impedance of the transmission line. For a 50 ohm line the normalized load impedance for Z L =100+j50 would be 2+j. ECSE 352 AC Tx Line Notes (c) D. Davis 2011 6
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Smith Chart e normalized The normalized impedance for me of the some of the “reference” ads are given loads are given in this figure. ECSE 352 AC Tx Line Notes (c) D. Davis 2011
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Lecture 7 Smith Chart - Lecture Lecture7 SmithChart Hayt...

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