Electrodes comprising composite mixtures and related devices and methods
US-2019348669-A1 · Nov 14, 2019 · US
US12218316B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12218316-B2 |
| Application number | US-202117504909-A |
| Country | US |
| Kind code | B2 |
| Filing date | Oct 19, 2021 |
| Priority date | Oct 19, 2020 |
| Publication date | Feb 4, 2025 |
| Grant date | Feb 4, 2025 |
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A convection enhanced energy storage system includes an electrochemical cell with a positive electrode, a separator, and a negative electrode, a tank holding an electrolyte, and a pump connected to the electrochemical cell and the tank to circulate the electrolyte. The electrochemical cell has large γ and β values, which has high transport resistance from diffusion and there is limited salt in the electrolyte solution to compensate. A computer system can implement a model of a convection enhanced energy storage system, for example for simulation to select parameters for such an energy storage system. The model includes: a convection term in a Nernst-Planck equation representing the convection enhanced energy storage system; boundary conditions of a cell of the convection enhanced energy storage system to account for forced convection at boundaries; gauging conservation of anions within an external tank; and calculating electrode active area as a function of porosity.
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What is claimed is: 1. A method for determining upper and/or lower limits of convection in a flow cell battery, the method comprising: circulating a single electrolyte comprising an electroactive species in an electrochemical cell comprising a positive electrode, a separator, a negative electrode, wherein the electromigrative flux of the electroactive species is greater than the sum of the diffusive flux of the electroactive species and the convective flux of the electrolyte; applying a voltage between the positive electrode and the negative electrode to generate an electromigrative flux of the electroactive species; and circulating the single electrolyte in the electrochemical cell, wherein the electromigrative flux of the electroactive species is less than a sum of the diffusive flux of the electroactive species and the convective flux of the electrolyte. 2. A method for determining upper and/or lower limits of convection in a flow cell battery, the method comprising: circulating a single electrolyte in an electrochemical cell comprising a positive electrode, a separator, a negative electrode, wherein the electromigrative flux of the electroactive species is greater than the sum of the diffusive flux of the electroactive species and the convective flux of the electrolyte; and applying a voltage between the positive electrode and the negative electrode to generate an electromigrative flux of an electroactive species; and circulating the single electrolyte in the electrochemical cell, wherein a ratio of an applied current density to an effective diffusivity is greater than 1 and wherein a ratio of a convective flowrate to an initial electrolyte concentration is greater than 1. 3. The method of claim 2 , wherein: I app ( 1 - t + ) L F D eff c initial > 0.5 and Q A ( 1 - t + ) F c initial ɛ L > 0.5 , where I app defines an applied current density, t + defines a transference number of the electroactive species of the electrolyte, L defines a dimension of the electrochemical cell or electrode, D eff defines an effective diffusivity of the electrolyte, c initial defines the initial concentration of the electrolyte, Q A defines an areal capacity of the electrochemical cell or electrode, and ε defines an electrode porosity. 4. The method of claim 2 , wherein: the electrochemical cell satisfies I app ( 1 - t + ) L F D eff c initial + F v c initial L < 3 , where I app defines an applied current density, t + defines a transference number of the electroactive species of the electrolyte, L defines a dimension of the electrochemical cell or electrode, D eff defines an effective diffusivity of the electrolyte, c initial defines the initial concentration of the electrolyte, and v defines the flow velocity. 5. The method of claim 1 , wherein circulating comprises flowing the single electrolyte with an average velocity of greater than or equal to 0.001 μm/s and/or less than or equal to 10,000 μm/s. 6. The method of claim 1 , wherein a thickness of the positive electrode is greater than or equal to 5 μm and/or less than or equal to 5 cm. 7. The method of claim 1 , wherein a thickness of the negative electrode is less than or equal to 5 μm and/or less than or equal to 5 cm. 8. The method of claim 1 , wherein the single electrolyte has an effective diffusivity of greater than or equal to 1×10 −10 cm 2 /s and/or less than or equal to 1×10 −1 cm 2 /s. 9. The method of claim 1 , wherein the electrolyte has an initial electrolyte concentration
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