Applications of Fluid Queues in Rechargeable Batteries

Kapoor, Shruti; Selvamuthu, Dharmaraja

doi:10.1007/978-981-15-5951-8_7

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…In [11] the battery charge is modeled as a fluid into a reservoir where the charge is accumulated or depleted progressively. In [12] a probabilistic approach is used to find the transient solution of the amount of charge into the battery which depends on several input and output processes which in turn depend on the level of charge of the battery.…”

Section: Introductionmentioning

confidence: 99%

A Model for the State of Charge of a Battery Connected to a Wind Power Plant Under a Ramp Rate Limitation Regime

D’Amico

Gismondi

Vergine

2022

JRSS

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In this paper, the expected value of the first hitting time of a threshold of the state of charge of a battery is investigated. The model considers a battery storage system connected to a wind power plant under a ramp rate limitation scheme. The level of charge in the battery is the result of operations that are modelled by a Markov chain model with random rewards. The Markov chain and reward characteristics do depend on the considered ramp rate limitation scheme that the wind power producer has to respect in order to guarantee a quasi-stable output power to the grid. In this paper, we derive a system of integral equations for the hitting time of the state of charge of the battery and the application to real data validates the analytical results.

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Section: Introductionmentioning

confidence: 99%

A Model for the State of Charge of a Battery Connected to a Wind Power Plant Under a Ramp Rate Limitation Regime

D’Amico

Gismondi

Vergine

2022

JRSS

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“…Stochastic fluid flow models are useful instruments for evaluating numerous performance measures including the distribution and moments of the fluid level in the area of congestion control, communication networks, risk processes, and other related systems. Some significant works on fluid flow models and their applications can be found in Anick et al [1], Elwalid and Mitra [2], Kapoor and Dharmaraja [3], Mitra [4], Latouche and Taylor [5], Bekker and Mandjes [6], Stern and Elwalid [7], Knessl and Morrison [8], El-Baz et al [9], and related references therein. The behavior of fluid queueing models examined by several researchers can be classified into two types; one is the stationary and another being the non-stationary.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Stationary Fluid Queue Driven by State-Dependent Birth-Death Process Subject to Catastrophes

Ammar¹,

Samanta²,

Kilany³

et al. 2022

Scientia Iranica

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This paper investigates an infinite buffer fluid queueing model driven by a state-dependent birth-death process prone to catastrophes.We use the Laplace-Stieltjes transform and continued fraction approaches to establish precise expression for the joint probability of the content of the buffer and the number of customers in an / /1 MM queueing model. The importance of the proposed system is that, in numerous practical situation, the service facility has defence mechanisms in place to deal with long waits. Under the strain of a significant backlog of work, the servers may improve their service rate. Therefore,considering the state-dependent character of queueing systems is of relevance. For example, congestion control technologies prevent long queues forming in computer and communication systems by adjusting packet transmission speeds based on the length of the queue (of packets) at the source or destination. Theoretical results are supported by numerical illustrations.

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Applications of Fluid Queues in Rechargeable Batteries

Cited by 2 publications

References 12 publications

A Model for the State of Charge of a Battery Connected to a Wind Power Plant Under a Ramp Rate Limitation Regime

A Model for the State of Charge of a Battery Connected to a Wind Power Plant Under a Ramp Rate Limitation Regime

Analysis of Stationary Fluid Queue Driven by State-Dependent Birth-Death Process Subject to Catastrophes

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