The quasi-steady state of all-vanadium redox flow batteries: a scale analysis: A scale analysis

Michael Vynnycky; A. K. Sharma; C. Y. Ling; E. Birgersson; M. Han

doi:10.1016/j.electacta.2014.09.134

The quasi-steady state of all-vanadium redox flow batteries: a scale analysis: A scale analysis

Michael Vynnycky, A. K. Sharma, C. Y. Ling, E. Birgersson, M. Han

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In general, mathematical models for all-vanadium redox flow batteries (VRFB) that seek to capture the transport phenomena are transient in nature. In this paper, we carry out scale analysis of VRFB operation and derive the conditions when it can be assumed to be quasi-steady state in nature, i.e., time-dependence only through a boundary condition. We find that it is true for typical tank volume and flow rate employed for VRFBs. The proposed analysis is generic and can also be employed for other types of redox flow batteries.

Original language	English (Ireland)
Pages (from-to)	657-662
Number of pages	6
Journal	Electrochimica Acta
Volume	147
DOIs	https://doi.org/10.1016/j.electacta.2014.09.134
Publication status	Published - 20 Nov 2014

Keywords

Mathematical modeling
Model reduction
Nernst-Planck equation
Transient model
Transport phenomena

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10.1016/j.electacta.2014.09.134

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title = "The quasi-steady state of all-vanadium redox flow batteries: a scale analysis: A scale analysis",

abstract = "In general, mathematical models for all-vanadium redox flow batteries (VRFB) that seek to capture the transport phenomena are transient in nature. In this paper, we carry out scale analysis of VRFB operation and derive the conditions when it can be assumed to be quasi-steady state in nature, i.e., time-dependence only through a boundary condition. We find that it is true for typical tank volume and flow rate employed for VRFBs. The proposed analysis is generic and can also be employed for other types of redox flow batteries.",

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AU - Sharma, A. K.

AU - Ling, C. Y.

AU - Birgersson, E.

AU - Han, M.

PY - 2014/11/20

Y1 - 2014/11/20

N2 - In general, mathematical models for all-vanadium redox flow batteries (VRFB) that seek to capture the transport phenomena are transient in nature. In this paper, we carry out scale analysis of VRFB operation and derive the conditions when it can be assumed to be quasi-steady state in nature, i.e., time-dependence only through a boundary condition. We find that it is true for typical tank volume and flow rate employed for VRFBs. The proposed analysis is generic and can also be employed for other types of redox flow batteries.

AB - In general, mathematical models for all-vanadium redox flow batteries (VRFB) that seek to capture the transport phenomena are transient in nature. In this paper, we carry out scale analysis of VRFB operation and derive the conditions when it can be assumed to be quasi-steady state in nature, i.e., time-dependence only through a boundary condition. We find that it is true for typical tank volume and flow rate employed for VRFBs. The proposed analysis is generic and can also be employed for other types of redox flow batteries.

KW - Mathematical modeling

KW - Model reduction

KW - Nernst-Planck equation

KW - Transient model

KW - Transport phenomena

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JO - Electrochimica Acta

JF - Electrochimica Acta

ER -

The quasi-steady state of all-vanadium redox flow batteries: a scale analysis: A scale analysis

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Keywords

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