System and method for the generation and use of an electro-thermal battery model

1. A method comprises:

obtaining by a data processing apparatus, battery data comprising voltage values corresponding to operating states of a battery;

selecting by the data processing apparatus, a battery model having convex parameters that exhibit convexity with respect to differences between the battery data and battery data predictions and non-convex parameters;

assigning by the data processing apparatus from a parameter selector, a set of convex and non-convex parameters, by:

fitting the convex parameters to the battery data for fixed values of the non-convex parameters,

fitting the non-convex parameters to the battery data, and

producing an electro-thermal model for the battery from the selected battery model using the fitted values of the convex parameters and the fitted values of the non-convex parameters.

2. The method of claim 1 , wherein fitting of the non-convex parameters occurs prior to fitting of the convex parameters; and

fitting of the convex parameters occurs with the non-convex parameter values being determined.

3. The method of claim 2 , wherein the fitting the non-convex parameters continues until values of a cost function satisfies a predefined threshold.

4. The method of claim 1 , wherein a nested loop procedure is executed in which the convex parameters are fit with respect to the battery data using an inner loop during which the non-convex parameters are held fixed, and the non-convex parameters are fit with respect to the battery data using an outer loop.

5. The method of claim 1 , wherein obtaining battery data further comprises:

obtaining, by the data processing apparatus, temperature values corresponding to operating states of the battery; and the battery model includes an electrical model and a thermal model, with the electrical model configured to predict battery voltage and heat generation, and the thermal model configured to predict temperature based on the heat generation, with a difference between a predicted temperature and the temperature values is an input to assigning the set of convex and non-convex parameters.

6. The method of claim 1 , wherein the battery model uses basis vector functions to represent the at least one convex parameter over a range of battery states and the battery state includes at least one of battery temperature, state of charge, and age.

7. The method of claim 5 , wherein difference between the predicted temperature and the temperature data is included in a cost function used in assigning the set of convex and non-convex parameters.

8. The method of claim 1 , wherein the battery data is collected from multiple, different batteries.

9. The method of claim 1 , where the battery data is collected from a plurality of thermal environments.

10. The method of claim 1 , wherein the battery data is collected from multiple measurement systems.

11. The method of claim 1 , further comprising encoding the electro-thermal model in electronics to monitor battery performance in an automobile.

12. The method of claim 1 , further comprises encoding the electro-thermal model in electronics to monitor battery performance in a mobile electronic device.

13. The method of claim 1 , further comprising a simulation system configured to execute a numerical simulation of a battery.

14. The method of claim 1 , wherein selecting the battery model comprises comparing a plurality of battery models and selecting the battery model having the lowest cost function.

15. The method of claim 1 , wherein the at least one convex parameter is selected based on a convex cost function.

16. The method of claim 1 , wherein selecting the battery model comprises comparing determined non-convex parameters to a threshold.

17. The method of claim 1 , wherein selecting the battery model comprises:

determining a ratio between the non-convex parameters and the convex parameters; and

comparing the determined ratio to a threshold.

18. The method of claim 1 , wherein the electro-thermal model is predictive over a continuous range of battery operating states.

19. The method of claim 2 , wherein the fitting enables efficient processor use by selecting the non-convex parameters prior to selecting the convex parameters.

20. The method of claim 1 , wherein the operating state of the battery comprises at least one of temperature, electrical current, and state of charge.

21. A system comprises:

a processor and a memory operatively coupled to the processor, with the processor and memory being configured to execute instructions to:

obtain battery data comprising voltage values corresponding to operating states of a battery;

select a battery model, the battery model having convex parameters that exhibit convexity with respect to differences between the battery data and battery data predictions and non-convex parameters;

assign from a parameter selector, a set of convex and non-convex parameters, by instructions to:

fit the convex parameters to the battery data for fixed values of the non-convex parameters, and

fit the non-convex parameters to the battery data, and

produce an electro-thermal model for the battery from the selected battery model using the fitted values of the convex parameters and the fitted values of the non-convex parameters.

22. A non-transitory computer-readable data storage medium storing computer-executable instructions for simulating fluid flow and acoustic interaction of a fluid with a porous medium that, when executed cause a computer to:

obtain battery data comprising voltage values corresponding to operating states of a battery;

select a battery model, the battery model having convex parameters that exhibit convexity with respect to differences between the battery data and battery data predictions and non-convex parameters;

assign from a parameter selector, a set of convex and non-convex parameters, by instructions to:

fit the convex parameters to the battery data for fixed values of the non-convex parameters,

fit the non-convex parameters to the battery data, and

produce an electro-thermal model for the battery from the selected battery model using the fitted values of the convex parameters and the fitted values of the non-convex parameters.