This course provides a review of fundamental concepts related to electric circuits and their components. It covers the classification and significance of studying electromagnetic transients in power systems. The focus is on switching transients in simple electrical circuits. Mathematical tools, including analytical and numerical solutions of differential equations, are explored. Computational tools such as the EMTP (Electromagnetic Transients Program) and ATP (Alternative Transients Program) are introduced.

Course Objectives:

At the end of the term, the participants will be able to compute and analyze the most common electrical transients that a power system is subjected to. This course relies on the use of an electromagnetic transient simulation program such as the ATP, EMTP-RV, or PSCAD. A great number of application examples will be resolved in class, as assignments, and as projects

Who Should Attend?

The generation power plant electrical and mechanical engineers are invited to join this course. Power plant operators and designers can attend it.

Course Outlines:

Electric Circuits: A Refresher

· Current and voltage sources

· Resistance, inductance (self and mutual), and capacitance

· Series and parallel circuits

· Classification of electromagnetic transients in power systems

· Over-voltages and over-currents

· By device: transmission lines, transformers, capacitors, motors.

· Simple transients

· RL and RC circuits

· Introduction to solution methods

· Special circuits with mathematical contradictions

· RLC Circuit

· ATP examples

Numerical Tools

· Numerical integration

· Trapezoidal rule of integration (TRI)

· Absolute stability

· Numerical oscillations

· Norton equivalent circuits

· KCL and KVL

Simulation Tools

· Time-domain solution of the state equations

· EMTP/ATP

· Comparison of analytical and ATP solutions

· Special circuits with mathematical contradictions

· Numerical oscillations of TRI

Modeling of Power Apparatus and Systems

· Transmission lines

· Cables

· Transformers

· Generators

· Switchgear

· Surge arresters

Normal and Abnormal Switching Transients

· Connection and disconnection of transmission lines

· Connection and disconnection of transformers and inductors

· Connection and disconnection of capacitors

· Symmetrical and asymmetrical faults

· Transient recovery voltage

Transients in Three-Phase Systems

· Symmetrical components

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