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Mathematical Modeling of Electric Power Flow on<br />

Two-Conductor Uniform Transmission Lines<br />

Tan Kok Ping<br />

Supervisor: Dr. Fatimah Noor Binti Harun<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Transmission lines transmit power or information from point to point along arbitrary paths<br />

with high efficiency. So, the mathematical model for the measurable electric power flow<br />

on transmission lines can be constructed. The main objective for doing this project is to<br />

construct a mathematical model for predicting the voltage and current at specific position<br />

and time on the transmission line. Kirchhoff’s voltage and current laws are used to derive<br />

the model. By using differentiation and substitution, the telegraph equation then could<br />

be obtained. Two different instances of telegraph equations have been chosen which are<br />

linear and non-linear. The method for solving these two equations is reduced differential<br />

transform method (RDTM). The solutions for both equations are exponential functions<br />

which imply that the rate of change of voltage and current along the transmission line is<br />

proportional to their current value.<br />

1009 | UMT UNDERGRADUATE RESEARCH DAY 2018

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