Absorbing phase transition in energy exchange models

Basu, Urna; Basu, Mahashweta; Mohanty, P. K.

doi:10.1140/epjb/e2013-31129-x

Cited by 7 publications

(11 citation statements)

References 29 publications

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“…In this paper,we focus on the estimate of the unknown aerodynamic load input and design accommodating control under the case of noise-free or exist random noise.The model described in this paper,we consider the blade vibrating in the first order fundamental mode.The 5DOF modal with first edgewise mode and tower side-side mode with a TMD inside was built in this paper,although there is more complicate 13DOF [27] or 24DOF [33] modal with coupling inplane and out plane vibration.A schema of the structural model is shown in Figure. The azimuthal angle ψ j (t) of blade j at the time instant t is given by…”

Section: Model Of Blade Interaction With Towermentioning

confidence: 99%

“…In paper [38],Gillijns proposed an unbiased estimators in the sense of minimum-variance unbiased(MVU) over all linear unbiased estimators for system (27). In this paper,we take the similar form filer in paper [38].We extend it to the control problem.…”

Section: Minimum-variance Unbiased Input and State Estimationmentioning

confidence: 99%

“…Letx k|k be unbiased, then it follows from (A5) that E[e k ] = 0 and consequently from (39) that (27) to (33) and (34) that…”

Section: Abbreviationsmentioning

confidence: 99%

“…Staino et al [21] [22]proposed an active tendons mounted inside blade tip which give a variable active control force to mitigate edgewise vibration.Fitzgerald at al. [24]investigated active TMD for mitigating edgewise vibrations.Fitzgerald and Basu [25] further proposed a cable connected active TMD to suppress edgewise vibrations.However,both semi-active and active control solutions need relatively complicated controller configurations and some amount of power input.Due to the large centrifugal acceleration of the rotating blade,the TLCD with small mass ratios could effectively mitigate edgewise vibrations.Zhang et alproposed a tuned liquid column TLCD equipped inside a rotating blade [26].Basu et al [27] investigate a circular TLCD for edgewise vibration.…”

Section: Introductionmentioning

confidence: 99%

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Active Control of Edgewise Vibrations in Wind Turbine Blades Using Stochastic Disturbance Accommodating Control

Cong¹

2017

Preprint

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Vibrations of blade and tower have important impact for wind turbine. This paper presents a active controller design to suppress blade edgewise vibrations under aerodynamic load and gravitational load.Treating the sum of aerodynamic load input in edgewise direction and gravitational load as unknown disturbance input,a stochastic disturbance accommodating control(SDAC) approach is proposed to design a controller which it utilizes a minimum-variance unbiased estimator(MVUE) to estimate both state and unknown input. The stability analysis proved that the proposed SDAC is bounded in mean square.In order to verify the performance of the minimum-variance unbiased estimator and the proposed SDAC, numerical simulations using Matlab/Simulink have been carried out for the National Renewable Energy Laboratory 5-MW wind turbine.Under the different circumstance which exists the random process and measure noise and noise free. It is shown that the estimation value by MVUE can tracking the real state and unknown input. The results are also compared to the traditional linear quadratic regulator(LQR) and show that the proposed stochastic disturbance accommodating control scheme can further reduce displacement in edgewise vibrations direction and the control strategy is more effective than the LQR.

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Section: Model Of Blade Interaction With Towermentioning

confidence: 99%

Section: Minimum-variance Unbiased Input and State Estimationmentioning

confidence: 99%

“…Letx k|k be unbiased, then it follows from (A5) that E[e k ] = 0 and consequently from (39) that (27) to (33) and (34) that…”

Section: Abbreviationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Active Control of Edgewise Vibrations in Wind Turbine Blades Using Stochastic Disturbance Accommodating Control

Cong¹

2017

Preprint

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“…These results are not restrictive to the specific way we introduce drive and dissipation here. What is important is that they must be coupled to the activity field so that the absorbing configurations are not destroyed [30]. The specific drive dissipation mechanism used here has an advantage -it maps to the site-DP model for λ = 1.…”

mentioning

confidence: 99%

Self-organised criticality in stochastic sandpiles: Connection to directed percolation

Basu¹,

Mohanty²

2014

EPL

Self Cite

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Self-organized systems PACS 68.35.Rh -Phase transitions and critical phenomena PACS 64.60.Ak -Renormalization-group, fractal, and percolation studies of phase transitionsAbstract -We introduce a stochastic sandpile model where finite drive and dissipation are coupled to the activity field. The absorbing phase transition here, as expected, belongs to the Directed Percolation (DP) universality class. We focus on the small drive and dissipation limit, i.e. the so called self organised critical (SOC) regime and show that the system exhibits a crossover from ordinary DP-scaling to a dissipation controlled scaling which is independent of underlying dynamics or spatial dimension. The new scaling regime continues all the way to the zero bulk drive limit suggesting that the corresponding SOC behaviour is only DP, modified by the dissipationcontrolled scaling. We demonstrate this for continuous and discrete Manna Model driven by noise and bulk dissipation.

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Solid‐Supported Materials‐Based Synthesis of 2‐Substituted Benzothiazoles: Recent Developments and Sanguine Future

et al. 2021

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Benzothiazole and its derivatives have been manifested as an optimistic scaffold due to their immense biological importance. Several methodologies have been reported as modifications after the first report of 2-substituted benzothiazole. Among them, many involve a shift from the conventional synthetic approach by utilizing different catalytic systems. Moreover, synthetic methodologies focused on improvements in terms of product yield, reaction duration, use of environmentally benign conditions and simplified workup procedures predominate among the recently developed approaches. Solid-phase organic synthesis received considerable attention with the pioneering findings of Merrifield's solid-phase peptide synthesis in 1963. A diverse range of organic, inorganic and organic-inorganic substances have been utilized as polymeric solid supports in various catalytic applications. The recyclability and reusability of the immobilized catalysts over consecutive cycles establish them as an attractive alternative over conventional catalytic systems from the environment as well as industrial perspective. The present review summarizes the recent developments in the environmentally benign synthesis of benzothiazole derivatives using supported reagents. Different solid supports along with their catalytic application, mechanistic perspective and substrate tolerance have been discussed comprehensively.

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Absorbing phase transition in energy exchange models

Cited by 7 publications

References 29 publications

Active Control of Edgewise Vibrations in Wind Turbine Blades Using Stochastic Disturbance Accommodating Control

Active Control of Edgewise Vibrations in Wind Turbine Blades Using Stochastic Disturbance Accommodating Control

Self-organised criticality in stochastic sandpiles: Connection to directed percolation

Solid‐Supported Materials‐Based Synthesis of 2‐Substituted Benzothiazoles: Recent Developments and Sanguine Future

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