# Method, system and computer-readable media for measuring impedance of an energy storage device

## Abstract

Real-time battery impedance spectrum is acquired using a one-time record. Fast Summation Transformation (FST) is a parallel method of acquiring a real-time battery impedance spectrum using a one-time record that enables battery diagnostics. An excitation current to a battery is a sum of equal amplitude sine waves of frequencies that are octave harmonics spread over a range of interest. A sample frequency is also octave and harmonically related to all frequencies in the sum. A time profile of this sampled signal has a duration that is a few periods of the lowest frequency. A voltage response of the battery, average deleted, is an impedance of the battery in a time domain. Since the excitation frequencies are known and octave and harmonically related, a simple algorithm, FST, processes the time profile by rectifying relative to sine and cosine of each frequency. Another algorithm yields real and imaginary components for each frequency.

- Inventors:

- Publication Date:

- Research Org.:
- Idaho National Lab. (INL), Idaho Falls, ID (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1236563

- Patent Number(s):
- 9,244,130

- Application Number:
- 13/438,741

- Assignee:
- Battelle Energy Alliance, LLC INL

- DOE Contract Number:
- AC07-05ID14517

- Resource Type:
- Patent

- Resource Relation:
- Patent File Date: 2012 Apr 03

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 25 ENERGY STORAGE; 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

### Citation Formats

```
Morrison, John L., Morrison, William H., Christophersen, Jon P., and Motloch, Chester G.
```*Method, system and computer-readable media for measuring impedance of an energy storage device*. United States: N. p., 2016.
Web.

```
Morrison, John L., Morrison, William H., Christophersen, Jon P., & Motloch, Chester G.
```*Method, system and computer-readable media for measuring impedance of an energy storage device*. United States.

```
Morrison, John L., Morrison, William H., Christophersen, Jon P., and Motloch, Chester G. Tue .
"Method, system and computer-readable media for measuring impedance of an energy storage device". United States. https://www.osti.gov/servlets/purl/1236563.
```

```
@article{osti_1236563,
```

title = {Method, system and computer-readable media for measuring impedance of an energy storage device},

author = {Morrison, John L. and Morrison, William H. and Christophersen, Jon P. and Motloch, Chester G.},

abstractNote = {Real-time battery impedance spectrum is acquired using a one-time record. Fast Summation Transformation (FST) is a parallel method of acquiring a real-time battery impedance spectrum using a one-time record that enables battery diagnostics. An excitation current to a battery is a sum of equal amplitude sine waves of frequencies that are octave harmonics spread over a range of interest. A sample frequency is also octave and harmonically related to all frequencies in the sum. A time profile of this sampled signal has a duration that is a few periods of the lowest frequency. A voltage response of the battery, average deleted, is an impedance of the battery in a time domain. Since the excitation frequencies are known and octave and harmonically related, a simple algorithm, FST, processes the time profile by rectifying relative to sine and cosine of each frequency. Another algorithm yields real and imaginary components for each frequency.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2016},

month = {1}

}

Works referenced in this record:

##
Effects of Reference Performance Testing during Aging Using Commercial Lithium-Ion Cells

journal, January 2006

- Christophersen, Jon P.; Ho, Chinh D.; Motloch, Chester G.
- Journal of The Electrochemical Society, Vol. 153, Issue 7, p. A1406-A1416

##
Accurate method of representation of high-voltage measuring systems and its application in high-impulse-voltage measurements

journal, March 1989

- Nikolopoulos, P. N.; Topalis, F. V.
- IEE Proceedings A (Physical Science, Measurement and Instrumentation, Management and Education), Vol. 136, Issue 2, p. 66-72

##
Comparison of impedance measurements in a DSP using ellipse-fit and seven-parameter sine-fit algorithms

journal, November 2009

- Ramos, Pedro M.; Janeiro, Fernando M.; Radil, Tomáš
- Measurement, Vol. 42, Issue 9, p. 1370-1379

##
Model validation approaches for nonlinear feedback systems using frequency response measurements

conference, January 1999

- Smith, R.; Banaszuk, A.; Dullerud, G.
- Decision and Control, 1999. Proceedings of the 38th IEEE Conference on