Rotor-angle versus voltage instability in the third-order model for synchronous generators

Abstract

We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system, we analytically derive a global stability map.

A review of dynamic models and stability analysis for a hydro-turbine governing system

“…Xu et al [101] studied the dynamic behaviors of HTGS under a shock load with a second-order generator. Sharafutdinov et al [25] studied the stability of voltage and the rotor angle using the bifurcation theory in a third-order generator system. The lower the model order, the simpler the model that can be obtained, but the less accurate the results will be.…”

Generalized Chaos Synchronization Circuit Simulation and Asymmetric Image Encryption

“…is the inverse function of H 1 . If systems (5) and (6) are in GCS via transformation Y(t) = H (X m (t)), then the function G(Y(t), X m (t)) in Eq. (6) takes the following form:…”

“…Chaos has complex dynamic behavior generated by determined nonlinear systems but is similar to statistic processes. Since Pecora and Carrol discovered that confused chaos signals could be synchronized [1], chaos synchronization is widely used in various fields, such as weather prediction [2], neuromedicine [3], [4], electronic commerce [5], industrial auto engineering [6]- [8], wireless communication [9], [10], information processing [11] and so on. The specific properties of sensitivity to parameters and long-term unpredictability are also very convenient for the application of secure communication.…”

“…The large-space image bits can achieve completely lossless image restoration. (6) This digital image encryption scheme is not limited to the size, gray level and capacity of the image, and can resist ciphertext only attack, known plaintext attack, chosen plaintext attack and chosen ciphertext attack.…”

Absence of pure voltage instabilities in the third order model of power grid dynamics

“…Instabilities to fluctuations and collapse of terminal voltages have been identified as key contributing factors for large-scale blackouts, for instance, in the northeastern United States (2003) and Athens/Greece (2004) 2,3 . The phenomena of voltage collapse and voltage instability in power system models have been extensively studied in the literature, see, e.g., [4][5][6] .…”