Numerical Methods and Simulation

Overview

This module will review the numerical methods for solving nonlinear equations and finding the eigenvalues of a matrix. These methods are part of the “Power System Analysis and Computation Methods” curriculum. The NumPy scientific computing ecosystem will be presented for formulating, solving, and visualizing power system problems, including power flow analysis and eigenvalue analysis. We will introduce computer algebra and code generation based on SymPy to streamline modeling and simulation. Techniques to simulate power transmission systems will be discussed in the ANDES simulator.

Motivation

While not everyone aspires to write full-fledged numerical programs, it is helpful to understand how basic and advanced numerical methods can be used in the Python ecosystem. In addition, the skills to write simple numerical programs will make one more versatile in analyzing data and solving real-world problems.