Research Overall
• Research has been conducted under the supervision of Dr. Jake Bobowski about calculating the transient response of ideal, lossless, and lossy transient response of transmission lines.
• The calculation was done using the numerical inverse Laplace transformation.
• The analysis was done using the MATLAB. First, the analysis is conducted in the complex frequency domain, s-domain and converted back into the time domain using the numerical Laplace transformation.
Abstract
We presented an analytical calculation of the transient response of ideal (i.e. lossless) transmission lines. The calculation presented, considers the length of a transmission line connected to a signal generator with output impedance Zg and terminated with a load impedance ZL. The approach 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 impedance.
Result
The transient response of the transmission line has been recorded on both under 300 K and 77 K where the black line is the simulated signal using the numerical Laplace method, and the orange line represents the actual measurement that we have obtained.
It was possible to obtain the key features that was not visible in the idealized calculation such as the peak shapes and roundness of the steps for the step function result.
This research has enables us to capture the characteristics of the real world transmission line more precise.
Publishing
Conference on Laboratory Instruction Beyond the First Year (BFY4)
This research has been published to the conference, where it was held in Chicago university for the Conference on Laboratory Instruction Beyond the First Year (BFY4).
*The link to the research paper can be found down below from the button.
Conference
• 2023 CMPS undergraduate research conference
-UBC-
•Conference on Laboratory Instruction Beyond the First Year (BFY4)
-Chicago University-