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Tx_line_basics_lec1

# Tx_line_basics_lec1 - Lecture1 Models Hayt CH13 .Davis 1...

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Lecture 1: Transmission Line Basics Models ayt H 13 Hayt CH 13 1 McGill ECSE 352 Fall 2011 D. Davis

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ansmission Lines Transmission Lines Transmission line ( e) is a guiding A Transmission line (Tx line) is a guiding structure (a class of device that forces power ow along a specific direction or channel) flow along a specific direction or channel). The typical electrical transmission line consists f two conductors separated by a dielectric of two conductors separated by a dielectric material. The line may be modeled using electrical circuit principles. McGill ECSE 352 Fall 2011 D. Davis 2
ansmission Lines Transmission Lines order to use the circuit modeling In order to use the circuit modeling techniques, the system must be described in rms of the appropriate parameters terms of the appropriate parameters. For circuit theory, we have Ohms’ law, the nservation laws KVL and KCL as well as the conservation laws KVL and KCL, as well as the mathematical principle of linearity. These basic analysis tools will be used in the following manner. McGill ECSE 352 Fall 2011 D. Davis 3

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ansmission Lines Transmission Lines hm’s Law relates the electric current flowing Ohm s Law relates the electric current flowing along a branch (a path connecting two circuit odes) to the electrical potential across the nodes) to the electrical potential across the path (the potential difference between the odes) as a function of the resistance nodes) as a function of the resistance, capacitance and inductance of the branch. is can be expressed in the following forms This can be expressed in the following forms For a resistor: ܸൌܫܴ McGill ECSE 352 Fall 2011 D. Davis 4
ansmission Lines Transmission Lines hile for an inductor: While for an inductor: ܸൌܮ ݀ܫ ݀ݐ And for a capacitor: ܫൌܥ ܸ݀ ݀ݐ For a structure with dielectrics and conductors, all three parameters (capacitance, inductance and resistance) may be present. McGill ECSE 352 Fall 2011 D. Davis 5

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ansmission Line Transmission Line nce a transmission line may be of any length Since a transmission line may be of any length, it is common to model the parameters as per eter (normalized with respect to length) meter (normalized with respect to length) resistance, capacitance and inductance. e physical geometry of the transmission line The physical geometry of the transmission line as well as the electrical properties of the mponent parts of the transmission line will component parts of the transmission line will determine the electrical parameters. McGill ECSE 352 Fall 2011 D. Davis 6
ansmission Line: CO xial Transmission Line: CO Axial ne very popular model of transmission line is One very popular model of transmission line is the co axial cable. the case of a co

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Tx_line_basics_lec1 - Lecture1 Models Hayt CH13 .Davis 1...

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