State of Charge Evolution Equations for Flywheels

Fooladivanda, Dariush; Mancini, Gaëtan; Garg, Siddharth; Rosenberg, Catherine

doi:10.48550/arxiv.1411.1680

2014

DOI: 10.48550/arxiv.1411.1680

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State of Charge Evolution Equations for Flywheels

Dariush Fooladivanda¹,

Gaëtan Mancini²,

Siddharth Garg³

et al.

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2016

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Cited by 1 publication

References 17 publications

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Energy Storage and Regulation: An Analysis

Fooladivanda

Rosenberg

Garg

2016

IEEE Trans. Smart Grid

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We focus on a region whose power system is controlled by an operator that relies on a regulation service to balance the total system supply to the total system load in quasi real-time. We consider the existing contractual framework in which a regulation unit declares its regulation parameters at the beginning of the contract, the operator guarantees that the regulation signals will be within the range of these parameters, and the regulation unit is rewarded proportionally to what it declares. Our purpose is twofold. We first want to obtain formulas for the regulation parameters that a unit with non-ideal storage should declare to the operator given its state of charge at the beginning of a contract. Second, we want to analytically quantify, ahead of time, the reward that such a unit could obtain in successive contracts by performing this regulation service. Since the state of charge at the beginning of a contract depends on what happened in the previous contract and, hence, is a random variable, we quantify this reward analytically using bounds and expectation. We then provide engineering insights by applying our results to three specific energy storage technologies that are often considered as candidates for regulation. In particular, we show the impact of the storage parameters and the length of one contract on the potential reward over a given period.

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Energy Storage and Regulation: An Analysis

Fooladivanda

Rosenberg

Garg

2016

IEEE Trans. Smart Grid

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show abstract

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State of Charge Evolution Equations for Flywheels

Cited by 1 publication

References 17 publications

Energy Storage and Regulation: An Analysis

Energy Storage and Regulation: An Analysis

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