Название: Introduction to Transients in Electrical Circuits: Analytical and Digital Solution Using an EMTP-based Software
Автор: Jose Carlos Goulart de Siqueira, Benedito Donizeti Bonatto
Издательство: Springer
Год: 2021
Страниц: 707
Язык: английский
Формат: pdf (true)
Размер: 10.9 MB

This book integrates analytical and digital solutions through Alternative Transients Program (ATP) software, recognized for its use all over the world in academia and in the electric power industry, utilizing a didactic approach appropriate for graduate students and industry professionals alike.

This book presents an approach to solving singular-function differential equations representing the transient and steady-state dynamics of a circuit in a structured manner, and without the need for physical reasoning to set initial conditions to zero plus (0+). It also provides, for each problem presented, the exact analytical solution as well as the corresponding digital solution through a computer program based on the Electromagnetics Transients Program (EMTP).

This book is organized as follows: Chap. 1 presents an introduction to transients in electrical circuits with a discussion about fundamentals of circuit analysis, physical phenomena and the need for mathematical modelling and simulation. The student is encouraged from the beginning to become familiar with Appendix A—processing at the ATP. Chapter 2 presents singular functions for the analytical solution, and Appendix B shows the main relations involving singular functions. Chapter 3 presents the solution of differential equations. It emphasizes the solution using the classical method in the time domain. For the operational method in the complex frequency domain using the Laplace transform, Appendix C—Laplace transform properties, Appendix D—Laplace transform pairs and Appendix E—Heaviside expansion theorem can be helpful.

Chapter 4 presents the digital solution of transients in basic electrical circuits. The fundamental algorithm of EMTP-based program is introduced, and the problem of numerical oscillations due to the trapezoidal method is briefly discussed. Chapter 5 presents transients in first-order circuits. Extensive number of examples are provided with their analytical and digital solution using the ATPDraw. Chapter 6 presents transients in circuits of any order, exploring the solution methods consolidated so far. Finally, Chap. 7 introduces switching transients using the injection of sources method. All chapters provide useful references to enhance the learning process, as well as to instigate further investigation about advanced topics.

Of interest to undergraduate and graduate students, as well as industry practitioners, this book fills the gap between classic works in the field of electrical circuits and more advanced works in the field of transients in electrical power systems, facilitating a full understanding of digital and analytical modeling and solution of transients in basic circuits.