Rate Dependent Transitions in Power Systems

Suchithra, K. S.; Gopalakrishnan, E. A.

doi:10.23919/icue-gesd.2018.8635791

Cited by 2 publications

(4 citation statements)

References 17 publications

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“…In our previous experiments, we noticed that the power system exhibits a delay in transition when the control parameter varies as a function of time. 25 Here, we notice a small window from the point of transition to the point at which the trajectory grazes the limit cycle oscillations. The point of transition and the point at which the trajectory grazes the limit cycle oscillations are, respectively, shown as P tran and P merg in Fig.…”

Section: B Rate-driven Control Of Power System Operating Near the Phy...mentioning

confidence: 83%

“…Hence, the onset of oscillations is delayed with respect to the quasistatic bifurcation diagram. 25 To be specific, the destabilization of the slowly varying trajectory does not occur immediately upon crossing the bifurcation point, determined by a quasi-static bifurcation analysis. 23 Here, we inspect the influence of stochasticity in the bi-stable power system model, where the system parameter varies as a function of time.…”

Section: Resultsmentioning

confidence: 99%

“…23 Here, we inspect the influence of stochasticity in the bi-stable power system model, where the system parameter varies as a function of time. The mechanical power varies as a function of time, as in the previous study, 25 as follows:…”

Section: Resultsmentioning

confidence: 99%

“…Suchithra et al reported the first study on the delay in the point of transition to the alternate state in a bi-stable power system model for the variation of system parameter as a function of time. 25 Furthermore, the authors reported an early transition to the undesirable alternate state when the mechanical power is varied as a function of time in a deterministic power system model. 26 In this study, 26 they proved that the stable branch ceases to exist beyond the quasi-static bifurcation point, which leads to completely different behavior in comparison with the case when the stable branch becomes unstable.…”

Section: Article Scitationorg/journal/chamentioning

confidence: 99%

See 3 more Smart Citations

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: B Rate-driven Control Of Power System Operating Near the Phy...mentioning

confidence: 83%

Section: Resultsmentioning

confidence: 99%