Chaos in Power Systems: Towards Short-term Voltage Stability Analysis

Abstract

Power systems are highly non-linear and they sometimes may exhibit a chaotic dynamic behavior that leads to instability and subsequent voltage collapse. That is why the analysis of nonlinear dynamic systems using computational techniques based on chaos theory gives the possibility of detecting these instability phenomena. This paper presents a new approach for analyzing the short-term voltage stability based on the concept of chaos, the representation of dynamics in an embedding dimension, the computing of Lyapunov exponents and a multidimensional analysis for determining embedding parameters using space-time techniques. The results of the application of the proposed techniques for assessing short-term voltage stability in the New England 39-bus test system are presented, which demonstrate that the proposed approach is suitable for determining stability/instability state to post- contingency voltage time series with complex dynamic behavior.