Chaotic behavior observations in a power system model

Chaotic behavior in power systems has been studied in relatively simple and theoretical system models, where some particular assumptions are made to represent the system as a set of ordinary differential equations (ODE), using ldquospecialrdquo nonlinear system analysis tools. In this paper, chaotic behavior on the IEEE 14-bus benchmark system, using a transient stability model and its associated differential-algebraic equations (DAE), is demonstrated and studied based on classical time-domain simulations, without the use of specialized software or simplifying assumptions. The dynamic behavior of the test system is studied for normal operating conditions and for a single contingency case, and the onset of chaos is verified through a Fourier analysis and Lyapunov exponents. The addition of a power system stabilizer (PSS) to the system is shown to remove the observed chaotic behavior.