Method, apparatus and recording medium for estimating parameters of battery equivalent circuit model
Disclosed is a method and apparatus for estimating parameters of a battery equivalent circuit model. The battery equivalent circuit model includes a first and second resistors and a capacitor. The method includes reading a pulse discharge profile corresponding to a parameter estimation condition from a plurality of pre-stored pulse discharge profiles, the pulse discharge profile including a first number of terminal voltages sequentially measured from a battery having a specific SOC in a predetermined cycle while the battery is discharged with a specific constant current from an OCV corresponding to the specific SOC to a lower limit of discharge voltage at a specific temperature, extracting a second number of terminal voltages between the OCV and a threshold voltage from the first number of terminal voltages, and estimating resistance values of the first and second resistors based on the OCV, the constant current, and the second number of terminal voltages.
1. A method for estimating parameters of a battery equivalent circuit model, the battery equivalent circuit model including a first resistor, a second resistor connected in series to the first resistor, and a capacitor connected in parallel to the second resistor, the method comprising:
setting a parameter estimation condition including:
a specific temperature;
a specific state of charge (SOC); and
a specific constant current;
reading a pulse discharge profile corresponding to the parameter estimation condition from a plurality of pre-stored pulse discharge profiles, the pulse discharge profile including a first number of terminal voltages sequentially measured from a battery having the specific SOC in a predetermined cycle while the battery is discharged with the specific constant current from an open-circuit voltage (OCV) corresponding to the specific SOC to a lower limit of discharge voltage at the specific temperature;
determining a threshold voltage between the OCV and the lower limit of discharge voltage from the pulse discharge profile;
extracting a second number of terminal voltages between the OCV and the threshold voltage from the first number of terminal voltages;
estimating a resistance value of the first resistor and a resistance value of the second resistor based on:
the OCV;
the specific constant current; and
the second number of terminal voltages;
recording the estimated resistance value of the first resistor and the estimated resistance value of the second resistor in a parameter map by associating the estimated resistance value of the first resistor and the estimated resistance value of the second resistor with the parameter estimation condition; and
controlling the battery by using the parameter map.
2. The method for estimating parameters of a battery equivalent circuit model according to claim 1 , wherein the estimating the resistance value of the first resistor and the resistance value of the second resistor comprises estimating the resistance value of the first resistor and the resistance value of the second resistor based on the OCV, the specific constant current, and the second number of terminal voltages, using a least square algorithm.
3. The method for estimating parameters of a battery equivalent circuit model according to claim 1 , further comprising determining capacitance of the capacitor based on a time constant and the estimated resistance value of the second resistor.
4. The method for estimating parameters of a battery equivalent circuit model according to claim 1 , further comprising:
associating the estimated resistance value of the first resistor and the estimated resistance value of the second resistor with the specific temperature, the specific SOC, and the specific constant current; and
recording the associated estimated resistance value of the first resistor and the associated estimated resistance value of the second resistor in the parameter map.
5. A non-transitory recording medium having recorded thereon a program for performing the method according to claim 1 in a computer.
6. An apparatus for estimating parameters of a battery equivalent circuit model, the battery equivalent circuit model including a first resistor, a second resistor connected in series to the first resistor, and a capacitor connected in parallel to the second resistor, the apparatus comprising:
a memory configured to store a plurality of pulse discharge profiles; and
a control unit operably coupled to the memory, the control unit being configured to:
set a parameter estimation condition including:
a specific temperature;
a specific state of charge (SOC); and
a specific constant current,
read a pulse discharge profile corresponding to the parameter estimation condition from the plurality of pulse discharge profiles, the pulse discharge profile including a first number of terminal voltages sequentially measured from a battery having the specific SOC in a predetermined cycle while the battery is discharged with the specific constant current from an open-circuit voltage (OCV) corresponding to the specific SOC to a lower limit of discharge voltage at the specific temperature;
determine a threshold voltage between the OCV and the lower limit of discharge voltage from the pulse discharge profile;
extract a second number of terminal voltages between the OCV and the threshold voltage from the first number of terminal voltages;
estimate a resistance value of the first resistor and a resistance value of the second resistor based on:
the OCV;
the constant current; and
the second number of terminal voltages;
record the estimated resistance value of the first resistor and the estimated resistance value of the second resistor in a parameter map by associating the estimated resistance value of the first resistor and the estimated resistance value of the second resistor with the parameter estimation condition; and
control the battery by using the parameter map.
7. The apparatus for estimating parameters of a battery equivalent circuit model according to claim 6 , wherein the control unit is further configured to estimate the resistance value of the first resistor and the resistance value of the second resistor based on the OCV, the specific constant current, and the second number of terminal voltages, using a least square algorithm.