Method and apparatus for managing battery pack
US-9221348-B2 · Dec 29, 2015 · US
US9726732B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9726732-B2 |
| Application number | US-82064810-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jun 22, 2010 |
| Priority date | Jun 22, 2010 |
| Publication date | Aug 8, 2017 |
| Grant date | Aug 8, 2017 |
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A system and method for estimating internal parameters of a lithium-ion battery to provide a reliable battery state-of-charge estimate. The method uses a two RC-pair equivalent battery circuit model to estimate the battery parameters, including a battery open circuit voltage, an ohmic resistance, a double layer capacitance, a charge transfer resistance, a diffusion resistance and a diffusion capacitance. The method further uses the equivalent circuit model to provide a difference equation from which the battery parameters are adapted, and calculates the battery parameters from the difference equation.
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What is claimed is: 1. A method for estimating battery parameters of a battery, said method comprising: reading, using a voltmeter and a current sensor electrically coupled to the battery, a measured battery voltage and a measured battery current, respectively; calculating, using a controller in communications with the voltmeter and the current sensor, said controller including a processor and a memory, a signal vector based on the measured battery voltage and current and a previous battery voltage and current; calculating a gain vector using the signal vector and a correlation matrix; calculating an estimation error using the measured battery voltage and the signal vector; adapting the battery parameters using the gain vector and the estimation error; calculating a battery open circuit voltage and a battery resistance using the adapted battery parameters; determining, using the controller, a battery state-of-charge using the battery open circuit voltage, including combining a voltage based state-of-charge and a current based state-of-charge using an adaptive weighting factor, where the voltage based state-of-charge is determined by a thermodynamic voltage and the current based state-of-charge is determined by Coulomb integration, and the adaptive weighting factor is adapted at each time step by an amount which is based on a validity of the battery open circuit voltage and based on a relationship between the rate of change of the voltage based state-of-charge and the rate of change of the current based state-of-charge; and using the battery state-of-charge, by the controller, for power management of the battery, including controlling charging and discharging of the battery. 2. The method according to claim 1 wherein the method estimates six battery parameters. 3. The method according to claim 1 wherein the method estimates the battery open circuit voltage, an ohmic resistance, a double layer capacitance, a charge transfer resistance, a diffusion resistance and a diffusion capacitance. 4. The method according to claim 1 wherein the method uses a two RC-pair equivalent battery circuit model to estimate the battery parameters. 5. The method according to claim 1 wherein calculating a gain vector includes using the equation: G ( k ) = P ( k - 1 ) ϕ ( k ) λ + ϕ T ( k ) P ( k - 1 ) ϕ ( k ) where G is the gain vector, P is the correlation matrix, Φ is the signal vector and λ is a forgetting factor. 6. The method according to claim 1 wherein calculating an estimation error includes using the equation: α( k )= V ( k )−θ T φ( k ) where α is the estimation error, V is the measured voltage, θ is the battery parameters and Φ is the signal vector. 7. The method according to claim 1 wherein adapting the battery parameters includes using the equation: θ( k )=θ( k− 1)+ G ( k )α( k ) where θ are the battery parameters, G is the gain vector and α is the estimation error. 8. The method according to claim 1 wherein the battery is a lithium-ion battery. 9. The method according to claim 1 wherein the battery is a vehicle battery on an electric vehicle and wherein the method is performed during operation of the vehicle. 10. A method for estimating battery parameters of a battery, said method comprising: defining an equivalent battery circuit model of the battery that includes a battery open circuit voltage, a battery ohmic resistance, a first RC pair including a double layer capacitance and a charge transfer resistance and a second RC pair including a diffusion capacitance and a diffusion resistance; reading, using a voltmeter and a current sensor electrically coupled to the battery, a measured battery voltage and a measured battery current, respectively; representing, using a controller in communications with the voltmeter and the current sensor, said controller including a processor and a memory, the battery circuit model as a difference equation that includes the measured battery voltage and current and a plurality of battery parameters; using the difference equation to determine the battery parameters that include the battery open circuit voltage, the ohmic resistance, a double layer capacitance, a charge transfer resistance, a diffusion resistance and a diffusion capacitance; determining, using the controller, a battery state-of-charge using the battery open circuit voltage, including combining a voltage based state-of-charge and a current based state-of-charge using an adaptive weighting factor, where the voltage based state-of-charge is determined by a thermodynamic voltage and the current based state-of-charge is determined by Coulomb integration, and the adaptive weighting factor is adapted at each time step by an amount which is based on a validity of the battery open circuit voltage and based on a relationship between the rate of change of the voltage based state-of-charge and the rate of change of the current based state-of-charge; and using the battery state-of-charge, by the controller, for power management of the battery, including controlling charging and discharging of the battery. 11. The method according to claim 10 wherein representing the battery circuit model as a difference equation includes using the equation: V ( k )=θ 1 V ( k− 1)+θ 2 V ( k− 2)+θ 3 I ( k )+θ 4 I ( k− 1)+θ 5 I ( k− 2)+θ 6 U ( k ) where V is the measured voltage, I is the measured current, k is a time step and θ 1 , θ 2 , θ 3 , θ 4 , θ 5 and θ 6 are the battery parameters. 12. The method according to claim 10 wherein the battery is a lithium-ion battery.
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