This is part of the curricular requirements of the graduate course ES 205 Numerical Methods for Engineers offered by Mindanao State University - Iligan Institute of Technology and handled by Engr. Michael S. Villame. Specifically, this work focuses on the following subtopics:
- finite difference approximation of the transmission line telegraph equation, which is a hyperbolic partial differential equation;
- encoding initial and boundary conditions in terms of finite differences;
- advantages of vectorizing the iterative update scheme;
- effects of domain discretization in terms of the Courant–Friedrichs–Lewy (CFL) condition; and
- applying the numerical scheme in simulating a fault event.
The primary documentation for this project is the paper entitled
A Finite Difference Approach to Solving the Transmission Line Telegraph Equation.
Everything related to the paper is in report/.
Some of the key files:
paper.texcontains the LaTeX code for the paper in the ICLR 2021 conference article format.paper.pdfis the compiled PDF file of the paper.references.bibcontains the bibliographic information.
Experiment files and codes are in illustrative examples/,
which contains the following subdirectories:
utility/on vectorization/on spatial domain discretization/on temporal domain discretizationsimulating a faulted bus
Except for utility/,
subdirectories correspond to eponymous subsections in Section 3 of the paper.
utility/ contains a Python module of utility class and functions for the experiments used.
misc/ contains some supporting files
that are not directly used in the paper or in the experiments.
Much of the work is performed in a conda environment with the following key packages:
- Python 3.8.0
- NumPy 1.19.1
- SciPy 1.5.2
- Matplotlib 3.3.2
To replicate the environment, use fdate.yml;
e.g., via
(base) PS C:\WINDOWS\system32> conda env create --file fdate.yml