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Theoretical bounds ...
Theoretical bounds on the accuracy of state and parameter estimation for batteries
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- Klintberg, Anton, 1989 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Wik, Torsten, 1968 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Fridholm, B. (author)
- Volvo Cars
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(creator_code:org_t)
- 2017
- 2017
- English.
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In: American Control Conference. - 0743-1619. ; , s. 4035-4041
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Abstract
Subject headings
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- Today it is standard to use equivalent circuit models to describe the dynamic behavior of Li-ion vehicle batteries. The parameters and states change with operating point and are therefore continuously estimated using bayesian observers, though without knowing to what degree the performance can be improved. Posterior Cramér-Rao Lower Bounds (CRLBs) can be used to theoretically quantify the optimal accuracy of bayesian estimators. In this paper we apply this to a second-order nonlinear equivalent-circuit model of a lithium-ion battery. It is shown, by numerical calculations, how the posterior Cramér-Rao Lower Bounds depend on the amplitude and frequency of the current, and on the slope of the Open Circuit Voltage (OCV) curve. Furthermore, it is investigated how much the accuracy is reduced in combined estimation of the states and the resistance compared to when the resistance is perfectly known. More importantly, it is also shown that the Mean Square Errors (MSE) of an Extended Kalman Filter (EKF) are close to the posterior CRLBs, which means that, under the investigated circumstances, it is not possible to significantly reduce the MSEs by replacing the EKF by any other observer.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Keyword
- Secondary batteries
- Circuit simulation
- Numerical calculation
- Open circuit voltage
- Kalman filters
- Parameter estimation
- Circuit theory
- State and parameter estimations
- Equivalent circuits
- Theoretical bounds
- Nonlinear equivalent circuit
- Dynamic behaviors
- Lithium-ion batteries
- Equivalent circuit model
- Extended Kalman filters
- Mean square error
- Electric batteries
- Bayesian estimators
- Optimal accuracy
Publication and Content Type
- kon (subject category)
- ref (subject category)
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