Lecture 2 Transients

Lecture 2 Transients - Lecture2 Objective: Hayt 6th...

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Lecture 2: Transmission Line Transients 1 Objective: Develop basic analysis tools for transient transmission line problems Hayt 6 th ed. CH. 13, CH. 11 7 th ed. 1 McGill ECSE 352 Fall 2011 D. Davis
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ansient Model Transient Model om the previous lecture we determined that From the previous lecture we determined that any function with the argument (t z/u) or z ) would be a solution to the wave (t+z/u) would be a solution to the wave equation. e voltage function: The voltage function: ܸ ൌ݂ ቀݐെ ݖ ݑ Represents a voltage signal travelling in the +z direction McGill ECSE 352 Fall 2011 D. Davis 2
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ansient Model Transient Model e current related to this voltage can be The current related to this voltage can be found using the telegrapher equations: ߲ݒሺݖ, ݐሻ ߲݅ሺݖ, ݐሻ Since the partial derivative with respect to z ߲ݖ ൌെܮ ߲ݐ will produce: And: 1 ݑ ߲݂ ሺݓሻ ߲ݓ ߲݂ ሺݓሻ ߲ݓ McGill ECSE 352 Fall 2011 D. Davis 3
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ansient Model Transient Model is will allow us to write: This will allow us to write: ݅ൌെ 1 ܮ න൫െ√ܮܥ ߲݂ ሺݓሻ ߲ݓ ݀ݓ This is the same as writing: ܫ ܥ ܸ This indicates that the forward travelling voltage and current are proportional: ܮ ܸ ܫ ൌܴ ܥ ܮ ܥ McGill ECSE 352 Fall 2011 D. Davis 4
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ansient Model Transient Model is proportionality is called the characteristic This proportionality is called the characteristic resistance, (for AC it is characteristic
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This note was uploaded on 12/03/2011 for the course ECSE 352 taught by Professor Mi during the Fall '10 term at McGill.

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Lecture 2 Transients - Lecture2 Objective: Hayt 6th...

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