Emergency rate-driven control for rotor angle instability in power systems
- 1 June 2022
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 32 (6), 061102
- https://doi.org/10.1063/5.0093450
Abstract
Renewable energy sources in modern power systems pose a serious challenge to the power system stability in the presence of stochastic fluctuations. Many efforts have been made to assess power system stability from the viewpoint of the bifurcation theory. However, these studies have not covered the dynamic evolution of renewable energy integrated, non-autonomous power systems. Here, we numerically explore the transition phenomena exhibited by a non-autonomous stochastic bi-stable power system oscillator model. We use additive white Gaussian noise to model the stochasticity in power systems. We observe that the delay in the transition observed for the variation of mechanical power as a function of time shows significant variations in the presence of noise. We identify that if the angular velocity approaches the noise floor before crossing the unstable manifold, the rate at which the parameter evolves has no control over the transition characteristics. In such cases, the response of the system is purely controlled by the noise, and the system undergoes noise-induced transitions to limit-cycle oscillations. Furthermore, we employ an emergency control strategy to maintain the stable non-oscillatory state once the system has crossed the quasi-static bifurcation point. We demonstrate an effective control strategy that opens a possibility of maintaining the stability of electric utility that operates near the physical limits.Keywords
Funding Information
- Bundesministerium für Umwelt, Naturschutz, nukleare Sicherheit und Verbraucherschutz (18-II-149-Global-A-Risikovorhersage)
- Russian Foundation for Basic Research (20-07-01071)
- Amrita Vishwa Vidyapeetham University (PhD Fellowship)
This publication has 45 references indexed in Scilit:
- Fluctuation growth and saturation in nonlinear oscillators on the threshold of bifurcation of spontaneous symmetry breakingPhysical Review E, 2005
- Coherence Resonance Near a Hopf BifurcationPhysical Review Letters, 2005
- Evaluation of Uncertainty in Dynamic Simulations of Power System Models: The Probabilistic Collocation MethodIEEE Transactions on Power Systems, 2004
- A linear dynamic model for asynchronous wind turbines with mechanical fluctuationsIEEE Transactions on Power Systems, 2002
- A period–doubling bifurcation with slow parametric variation and additive noiseProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2001
- Annihilation of One of the Coexisting Attractors in a Bistable SystemPhysical Review Letters, 2000
- Stochastic Runge-Kutta algorithms. I. White noisePhysical Review A, 1992
- Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power systemIEEE Transactions on Power Systems, 1992
- A stochastic approach to small disturbance stability analysisIEEE Transactions on Power Systems, 1992
- A security measure for random load disturbances in nonlinear power system modelsIEEE Transactions on Circuits and Systems, 1987