Oscillations

Authors: Wang, Haifeng, Du, Wenjuan
Covers three main methods for analyzing the control of power systems oscillations
Contains application examples for damping torque analysis, model analysis and linearized equal-area criterion analysis
Uses Light HVDC as an example to demonstrate the applications of the three analytical methods

A large amount of work has been done on ordinary differ- ential equations with small parameters multiplying deriv- atives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both sl- and fast-motion parts of phase trajectories.

In various fields of science, notably in physics and biology, one is con­ fronted with periodic phenomena having a remarkable temporal structure: it is as if certain systems are periodically reset in an initial state.

This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non-linear equations.