Chapter 3Transient Stability Analysis Using Energy Functions – an Introduction
3.1 The Basic Idea
As was discussed in detail in Chapter 2, a power system is described mathematically by a set of differential equations together with a set of algebraic equations. These sets of equations are large in number (for a medium–size power system, their number may be in the hundreds), they are nonlinear (they include several types of nonlinearities), and they are coupled.
In contrast to linear systems, where analytical solutions are usually possible, there are only a few classes of nonlinear systems where general statements can be made about their dynamic behavior and their stability characteristics. Among these are certain power system models where stability ...