# US 10,371,753 B1 · Methods for online estimation of battery capacity and state of health

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- Number: US 10,371,753 B1
- Document ID: US10371753B1
- Status: Granted
- Kind: B1
- Application number: 14/578,427
- Filed: 2014-12-20
- Granted: 2019-08-06
- Earliest claimed: 2013-12-20
- Assignees: HRL Laboratories, LLC
- Applicants: HRL Laboratories, LLC
- Inventors: Shuoqin Wang; John Wang; Souren Soukiazian; Jason A. Graetz
- Web page: https://patentgrep.com/patent/US10371753B1

## CPC

- G01R 31/3648: {comprising digital calculation means, e.g. for performing an algorithm}
- G01R 31/367: Software therefor, e.g. for battery testing using modelling or look-up tables
- G01R 31/382: Arrangements for monitoring battery or accumulator variables, e.g. SoC
- G01R 31/3828: using current integration
- G01R 31/3842: combining voltage and current measurements
- G01R 31/392: Determining battery ageing or deterioration, e.g. state of health
- H01M 10/48: Accumulators combined with arrangements for measuring, testing or indicating the condition of cells, e.g. the level or density of the electrolyte (constructional details of current conducting connections for detecting conditions inside cells or batteries, e.g. details of voltage sensing terminals, H01M50/569)
- H01M 10/0525: Rocking-chair batteries, i.e. batteries with lithium insertion or intercalation in both electrodes; Lithium-ion batteries
- Y02E 60/10: Energy storage using batteries
- G01R: MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES (indicating correct tuning of resonant circuits H03J3/12)
- H01M: PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
- Y02E: REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION

## Abstract

In some variations, a method of real-time monitoring of battery capacity comprises correlating electrode open-circuit voltage with electrode state of charge for a selected electrode; compiling a look-up table to correlate the electrode open-circuit voltage with the electrode capacity at different values of the active-material capacity; during real-time operation, identifying first and second times at which battery terminal voltages are approximated as battery open-circuit voltages; and calculating battery capacity based on the difference in battery open-circuit voltages at the first and second times, current integration, and the look-up table. No reference electrode is needed, and a complete battery charge/discharge is not necessary to determine the capacity. This technique can therefore be implemented on-board and in real time to provide reliable capacity estimation even as the battery ages. The methods are applicable to various metal-ion secondary battery systems, including lithium-ion batteries, with different material chemistries.

## Claims

### Claim 1

A method of battery management with real-time monitoring of battery capacity and battery state of health in a metal-ion battery configured with an active material, an anode, a cathode, an external circuit in electrical communication with said anode and said cathode, and a battery management system linked in operable communication with said metal-ion battery, said method comprising:
(a) correlating, in said battery management system, electrode open-circuit voltage with electrode state of charge for each of said anode and said cathode;
(b) calculating, in said battery management system, electrode capacity for each of said anode and said cathode, and active-material capacity, wherein said method to calculate said electrode capacity and said active-material capacity comprising a non-linear curve minimization technique at the beginning of life of said battery, the non-linear curve minimization technique is a Nelder-Mead technique;
(c) in said battery management system, compiling or obtaining a look-up table, graph, and/or equation to correlate, for each of said anode and said cathode, said electrode open-circuit voltage with said electrode capacity at different values of said active-material capacity;
(d) in said battery management system, during real-time operation of said battery, identifying first and second times at which battery terminal voltages are approximated as battery open-circuit voltages;
(e) calculating, in said battery management system, battery capacity based on the difference in battery open-circuit voltages at said first and second times, current integration between said first and second times, and said look-up table, graph, and/or equation provided in step (c);
(f) estimating, in said battery management system, battery state of health based at least on said battery capacity calculated in step (e); and
(g) utilizing said battery capacity and battery state of health in said battery management system that is in real-time communication with said metal-ion battery,
wherein said battery management system is continuously updated with said battery capacity and said battery state of health to enhance battery efficiency, and wherein said battery management system adjusts electrical current between said metal-ion battery and said external circuit, in response to said battery capacity from step (e) and said battery state of health from step (f),
wherein the following formula for battery open-circuit voltage as a function of capacities is utilized in said method:
V
oc
⁡
(
Q
)
=
V
oc
⁡
(
Q
Q
c
)
-
V
oc
⁡
(
Q
Li
-
Q
Q
a
)
where Voc is battery open-circuit voltage, Q is battery capacity, Qc is cathode capacity, Qa is anode capacity, and Qt,i is active-material capacity.

### Claim 2 (depends on 1)

The method of claim 1, wherein said metal-ion battery is a lithium-ion battery and wherein said active-material capacity is recyclable lithium capacity.

### Claim 3 (depends on 1)

The method of claim 1, wherein step (c) utilizes said look-up table to correlate said electrode open-circuit voltage with said electrode capacity at different values of said active-material capacity.

### Claim 4 (depends on 1)

The method of claim 1, said method further comprising correlating the difference in said battery capacity at said first and second times with said active-material capacity, based on said battery open-circuit voltages at said first and second times and said look-up table, graph, and/or equation.

### Claim 5 (depends on 4)

The method of claim 4, wherein said active-material capacity is derived from a measured difference in said battery capacity at said first and second times.

### Claim 6 (depends on 1)

The method of claim 1, wherein said look-up table, graph, and/or equation to correlate said electrode open-circuit voltage with said electrode capacity at different values of said active-material capacity, is constant during operation and aging of said battery.

### Claim 7 (depends on 1)

The method of claim 1, wherein said look-up table, graph, and/or equation to correlate said electrode open-circuit voltage with said electrode capacity at different values of said active-material capacity, changes over the life of the battery.

### Claim 8 (depends on 7)

The method of claim 7, wherein step (a) comprises direct measurements of said electrode open-circuit voltage and said electrode state of charge.

### Claim 9 (depends on 7)

The method of claim 7, wherein step (a) utilizes a beginning-of-life look-up table, graph, and/or equation along with a known voltage fade function.

### Claim 10 (depends on 1)

The method of claim 1, wherein loss in said active-material capacity dominates loss in said battery capacity.

### Claim 11 (depends on 1)

The method of claim 1, wherein said battery capacity is limited by amount of metal-ion inventory.

### Claim 12 (depends on 1)

The method of claim 1, wherein said battery capacity is not limited by amount of metal-ion inventory; said method further comprising utilizing predetermined anode and cathode aging correlations.

### Claim 13 (depends on 1)

The method of claim 1, said method further comprising predicting a future battery capacity by extrapolating, in time, said battery capacity calculated in step (e).

### Claim 14 (depends on 1)

The method of claim 1, wherein said battery management system is continuously updated with said battery capacity and said battery state of health on a battery-management time scale of about one millisecond or less.

### Claim 15 (depends on 1)

The method of claim 1, wherein said battery state of health includes said battery capacity as a function of battery age, said method further comprising predicting a future battery state of health by extrapolating said battery capacity as a function of battery age.

### Claim 16

A method of battery management with real-time monitoring of battery capacity and battery state of health in a metal-ion battery configured with an active material, an anode, a cathode, an external circuit in electrical communication with said anode and said cathode, and a battery management system linked in operable communication with said metal-ion battery, said method comprising:
(a) correlating, in said battery management system, electrode open-circuit voltage electrode state of charge for each of said anode and said cathode;
(b) calculating, in said battery management system, electrode capacity for each of said anode and said cathode, and active-material capacity;
(c) in said battery management system, compiling or obtaining a look-up table, graph, and/or equation to correlate, for each of said anode and said cathode, said electrode open-circuit voltage with said electrode capacity at different values of said active-material capacity;
(d) in said battery management system, during real-time operation of said battery, identifying first and second times at which battery terminal voltages are approximated as battery open-circuit voltages;
(e) calculating, in said battery management system, battery capacity based on the difference in battery open-circuit voltages at said first and second times, current integration between said first and second times, and said look-up table, graph, and/or equation provided in step (c);
(f) estimating, in said battery management system, battery state of health based at least on said battery capacity calculated in step (e); and
(g) utilizing said battery capacity and battery state of health in said battery management system that is in real-time communication with said metal-ion battery,
wherein said battery management system is continuously updated with said battery capacity and said battery state of health to enhance battery efficiency, and wherein said battery management system adjusts electrical current between said metal-ion battery and said external circuit, in response to said battery capacity from step (e) and said battery state of health from step (f),
wherein the following formula for battery open-circuit voltage as a function of capacities is utilized in said method:
V
oc
⁡
(
Q
)
=
V
oc
⁡
(
Q
Q
c
)
-
V
oc
⁡
(
Q
Li
-
Q
Q
a
)
where Voc is battery open-circuit voltage, 0 is battery capacity, 0, is cathode capacity, Qa is anode capacity, and On is active-material capacity;
wherein said look-up table, graph, and/or equation to correlate said electrode open-circuit voltage with said electrode capacity at different values of said active-material capacity, changes over the life of said battery, wherein an approximated value of said active-material capacity is utilized to compile or obtain an updated look-up table, graph, and/or equation that is more accurate than a previous look-up table, graph, and/or equation from step (c); said method comprising multiple iterations until said approximated value of said active-material capacity converges, thereby generating an accurate estimate for said battery capacity.