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Calculation of the transient response of lossless transmission lines Koyano, Takamitsu; Bobowski, Jake S.
Abstract
We present an analytical calculation of the transient response of ideal (i.e. lossless) transmission lines. The calculation presented considers a length of transmission line connected to a signal generator with output impedance Zg and terminated with a load impedance ZL. The approach taken is to analyze a circuit model of the system in the complex-frequency or s-domain and then apply an inverse Laplace transform to recover the time-domain response. We consider both rectangular pulses and voltage steps (i.e. the Heaviside function) applied to the input of the transmission line. Initially, we assume that Zg and ZL are purely real/resistive. At the end of the paper, we demonstrate how the calculations can be generalized to consider reactive impedances.
Item Metadata
| Title |
Calculation of the transient response of lossless transmission lines
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| Creator | |
| Date Issued |
2023-07
|
| Description |
We present an analytical calculation of the transient response of ideal (i.e. lossless) transmission lines.
The calculation presented considers a length of transmission line connected to a signal generator with output
impedance Zg and terminated with a load impedance ZL. The approach taken is to analyze a circuit model
of the system in the complex-frequency or s-domain and then apply an inverse Laplace transform to recover
the time-domain response. We consider both rectangular pulses and voltage steps (i.e. the Heaviside function)
applied to the input of the transmission line. Initially, we assume that Zg and ZL are purely real/resistive. At
the end of the paper, we demonstrate how the calculations can be generalized to consider reactive impedances.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2023-06-20
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0433566
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty; Undergraduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International