Hard-limit induced chaos in a single-machine-infinite-bus power system

Ji, Weijun; Venkatasubramanian, V.

doi:10.1109/cdc.1995.479121

Cited by 3 publications

(2 citation statements)

References 14 publications

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“…Flux decay plays a significant role in angular instability. 28,29 The synchronous machine transforms the mechanical power input, P m , to the electrical power output, P e . The governing dynamics are described as follows:…”

Section: Stochastic Power System Modelmentioning

confidence: 99%

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Emergency rate-driven control for rotor angle instability in power systems

Suchithra

Gopalakrishnan

Kurths

et al. 2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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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.

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Section: Stochastic Power System Modelmentioning

confidence: 99%

“…The difference between the two reactances, X denotes the effective reactance of the system. Furthermore, we fix the standard values to the parameters in the governing equation as given below: 28,29…”

Section: Stochastic Power System Modelmentioning

confidence: 99%

Emergency rate-driven control for rotor angle instability in power systems

Suchithra

Gopalakrishnan

Kurths

et al. 2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Nonlinear robust control of power systems

Duby

2001

2001 European Control Conference (ECC)

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Describing Function Analysis of Sustained Oscillations in Grid-Tied Voltage-Source Converter With Double Saturation Limiters

Huang

Zhan

et al. 2022

Front. Energy Res.

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Recently, with the fast development of renewable energy, various power-electronic-based devices have been widely incorporated in power systems, and controller saturation limiters have been broadly utilized, such as in voltage-source converter. It has been well recognized that these saturation limiters make sustained oscillations possible. To study the impact of saturation limiters, by considering the dynamical response of double saturation limiters in both the d-axis and q-axis of the alternating current control, this paper establishes single-input-single-output models for two novel phenomena including the double-clipped oscillation and single-clipped oscillation, based on the describing function. Then the describing-function-based Nyquist criterion is used to obtain the amplitude and frequency of the sustained oscillations. The model accuracy is verified by the electromagnetic transient simulation, and the influences of control parameters are extensively studied. All these findings clearly demonstrate that the saturation limiters play an active role in sustained oscillations in power-electronic-based power systems.

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Hard-limit induced chaos in a single-machine-infinite-bus power system

Cited by 3 publications

References 14 publications

Emergency rate-driven control for rotor angle instability in power systems

Emergency rate-driven control for rotor angle instability in power systems

Nonlinear robust control of power systems

Describing Function Analysis of Sustained Oscillations in Grid-Tied Voltage-Source Converter With Double Saturation Limiters

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