Systems, methods and computer-readable media to model kinetic performance of rechargeable electrochemical devices
First Claim
1. A method, comprising:
- analyzing an electrochemical cell with a modified Butler-Volmer (BV) expression to determine an exchange current density, wherein the modified BV expression includes a BV expression modified to include kinetic performance information for at least one of a pulse-time dependence and an electrode surface availability;
including a rate expression comprising a sigmoid model in the modified BV expression to determine the kinetic performance as a function of pulse time; and
estimating a kinetic performance of the electrochemical cell at a desired point in pulse time using the modified BV expression;
wherein at least one act of the method is performed by a processor.
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Abstract
A system includes an electrochemical cell, monitoring hardware, and a computing system. The monitoring hardware samples performance characteristics of the electrochemical cell. The computing system determines cell information from the performance characteristics. The computing system also analyzes the cell information of the electrochemical cell with a Butler-Volmer (BV) expression modified to determine exchange current density of the electrochemical cell by including kinetic performance information related to pulse-time dependence, electrode surface availability, or a combination thereof. A set of sigmoid-based expressions may be included with the modified-BV expression to determine kinetic performance as a function of pulse time. The determined exchange current density may be used with the modified-BV expression, with or without the sigmoid expressions, to analyze other characteristics of the electrochemical cell. Model parameters can be defined in terms of cell aging, making the overall kinetics model amenable to predictive estimates of cell kinetic performance along the aging timeline.
36 Citations
28 Claims
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1. A method, comprising:
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analyzing an electrochemical cell with a modified Butler-Volmer (BV) expression to determine an exchange current density, wherein the modified BV expression includes a BV expression modified to include kinetic performance information for at least one of a pulse-time dependence and an electrode surface availability; including a rate expression comprising a sigmoid model in the modified BV expression to determine the kinetic performance as a function of pulse time; and estimating a kinetic performance of the electrochemical cell at a desired point in pulse time using the modified BV expression; wherein at least one act of the method is performed by a processor. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A model development method, comprising:
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periodically sampling cell characteristics of an electrochemical cell; analyzing the cell characteristics of the electrochemical cell with a modified Butler-Volmer (BV) expression to determine exchange current density, wherein a BV expression is modified to include kinetic performance information for at least one of a pulse-time dependence and an electrode surface availability; including a rate expression comprising a sigmoid model in the modified BV expression to determine the kinetic performance as a function of pulse time; and estimating a kinetic performance of the electrochemical cell at a desired point in pulse time using the cell characteristics in the modified BV expression; wherein at least one act of the method is performed by a processor. - View Dependent Claims (12, 13, 14)
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15. A method, comprising:
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analyzing a kinetic performance characteristic of an electrochemical cell with a modified Butler-Volmer (BV) expression to determine an exchange current density, wherein the modified BV expression includes a BV expression modified to include kinetic performance information for at least one of a pulse-time dependence and an electrode surface availability; including a rate expression comprising a sigmoid model in the modified BV expression to determine the kinetic performance as a function of pulse time; estimating a kinetic performance of the electrochemical cell at a desired point in pulse time using the modified BV expression; and modifying at least one of a discharge process for, a charge process for, and composition of, the electrochemical cell responsive to the estimating the kinetic performance; wherein at least one act of the method is performed by a processor. - View Dependent Claims (16, 17, 18)
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19. A system, comprising:
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an electrochemical cell;
monitoring hardware operably coupled to the electrochemical cell and configured for periodically sampling cell characteristics of the electrochemical cell; anda computing system operably coupled to the monitoring hardware and configured for periodically; determining electrochemical cell information from the cell characteristics of the electrochemical cell; analyzing a kinetic performance characteristic of the electrochemical cell with a modified Butler-Volmer (BV) expression incorporating the electrochemical cell information to determine an exchange current density, wherein the modified BV expression includes a BV expression modified to include kinetic performance information for at least one of a pulse-time dependence and an electrode surface availability; and including a rate expression comprising a sigmoid model in the modified BV expression to determine the kinetic performance as a function of pulse time. - View Dependent Claims (20, 21, 22, 23, 24)
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25. A non-transitory computer-readable medium including computer-executable instructions, which when executed on one or more processors, perform the acts comprising:
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analyzing an electrochemical cell with a modified Butler-Volmer (BV) expression to determine an exchange current density, wherein the modified BV expression includes a BV expression modified to include kinetic performance information for at least one of a pulse-time dependence and an electrode surface availability; including a rate expression comprising a sigmoid model in the modified BV expression to determine the kinetic performance as a function of pulse time; and estimating a kinetic performance of the electrochemical cell at a desired point in pulse time using the modified BV expression. - View Dependent Claims (26, 27, 28)
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Specification