Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Power Systems Dynamics: Stability and Behavior

In course

EE-470: Power systems dynamics

This course focuses on the dynamic behavior of a power system. It presents the basic definitions, concepts and models for angular stability analysis with reference to transient stability, steady state stability and long term stability.Fundamentals related ...

Description

This lecture covers the transient stability of power systems, focusing on the ability of synchronous machines to maintain synchronism after severe disturbances. Topics include voltage stability, power flow calculations, and the resolution of differential-algebraic equations. The instructor explains the different operating states of a power system, the phenomena of electromechanical oscillations, and the importance of maintaining synchronism. Various methods for analyzing transient stability, such as direct methods and simultaneous approaches, are discussed in detail.

This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.

Watch on Mediaspace

Instructor

Sidi-Rachid Cherkaoui

Rachid Cherkaoui received the M.S. degree in electrical engineering and the Ph.D. degree from Swiss Federal Institute of Technology (EPFL), Lausanne, in 1983 and 1992 respectively. From 1983 to 1987, he worked at Entreprises Electriques Fribourgeoises (Swiss electrical utility) developing a state estimator and security analysis tools for the HV transmission system of that company. From 1987 to 1992, he joined the power system laboratory of EPFL where he achieved his Ph.D. thesis in the field of optimal operation topologies for distribution systems. In this respect, he was the recipient of the ABB Swiss Award83. Since 1993, he is leading the research activities in the field of optimization and simulation techniques applied to electrical power and distribution systems. Presently his main research topics are electricity market deregulation, distributed generation and storage, and, power system vulnerability mitigation. He is senior member of IEEE, member of technical program committees of various conferences, member of CIGRE task forces C5-2, and IEEE Swiss Chapter officer since 2005. He serves regularly as reviewer for different journals and conferences. Dr. Cherkaoui is the author or co-author of more than 50 scientific publications.

Official source

Related concepts (32)

Differential-algebraic system of equations

In electrical engineering, a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system. In mathematics these are examples of differential algebraic varieties and correspond to ideals in differential polynomial rings (see the article on differential algebra for the algebraic setup).

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equations which may be with respect to one independent variable. A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a_0(x), .

Linear differential equation

In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a0(x), ..., an(x) and b(x) are arbitrary differentiable functions that do not need to be linear, and y′, ..., y(n) are the successive derivatives of an unknown function y of the variable x. Such an equation is an ordinary differential equation (ODE).

Equation

In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign . The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true.

Related lectures (41)

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Canonical Transformations: Existence and Equations

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

First Order Differential Equation MOOC: Warm-up for EPFL

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

Electric Motors: Principles and Applications

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

Rotor Oscillation Modes and Excitation Control Log in to Mediaspace to watch this video