Power Systems Dynamics: Stability and Behavior

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Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

First Order Differential Equation

Covers first-order differential equations, including linear equations and applications in physics.

Numerical Methods for ODEs: Crank-Nicolson, Heun, Euler, RK4

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.

Direction Fields, Euler Methods, Differential Equations

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Optimal Dispatch of Power Generation Units

Explores the optimal dispatch of power generation units and the economics of power systems in deregulated environments.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Power System Economics Fundamentals

Explores power system economics, Nash equilibrium points, profit maximization, and system security.

Electric Motors: Principles and Applications

Explores electric motor principles, linearity, control systems, active suspensions, and Laplace transforms.

State-space Modeling

Introduces the state-space approach to modeling dynamical systems and its utility for high-speed solution of differential equations and computer algorithms.

Numerical Methods: Differential Equations

Covers the application of numerical methods to solve differential equations using MATLAB.