ADAPTIVE STATE OF CHARGE CORRECTION AND ESTIMATION FOR A BATTERY PACK OF A FUEL CELL ELECTRIC VEHICLE
A method for providing an estimated present state of charge of a battery pack includes measuring battery parameters and then calculating a first state of charge utilizing an initial state of charge and the battery parameters. An error covariance prediction is calculated for the calculated first state of charge. A correction of the first state of charge is determined by mapping the open circuit voltage of the battery to the initial state of charge to obtain an open circuit voltage-initial state of charge confidence slope, calculating a Kalman gain of the error covariance prediction, and mapping the open circuit voltage (incorporating EMF) to the first state of charge. The estimated present state of charge is calculated by correcting the first state of charge utilizing selected battery parameters, the Kalman gain, and the mapping of the resulting voltage of the battery to the first state of charge.
1 . A method for providing an estimated present state of charge of a battery, comprising:
measuring a battery parameter including an open circuit voltage;
performing an estimation stage including:
a state prediction step including calculating a first state of charge of the battery utilizing an initial state of charge of the battery and the battery parameter;
an error covariance step including calculating an error covariance prediction for the first state of charge of the battery; and
performing a correction stage including:
an observation matrix update step including mapping the open circuit voltage of the battery to the initial state of charge of the battery to obtain an open circuit voltage-initial state of charge confidence slope;
a Kalman gain step including calculating a Kalman gain of the error covariance prediction for the first state of charge of the battery utilizing the open circuit voltage-initial state of charge confidence slope;
an electromotive force mapping step including mapping the open circuit voltage including electromotive force to the first state of charge;
a measurement estimate update step including correcting the first state of charge utilizing the battery parameter, the Kalman gain of the error covariance prediction for the first state of charge of the battery, and the mapping the open circuit voltage to the first state of charge to provide the estimated present state of charge.
2 . The method of claim 1 , wherein the battery parameter includes a member selected from a group consisting of: an ohmic resistance, a resistor-capacitor pair resistance, a resistor-capacitor pair capacitance, a voltage across a resistor-capacitor pair, a terminal voltage, a fuel cell output current, and combinations thereof.
3 . The method of claim 1 , wherein the battery parameter includes three members selected from a group consisting of: an ohmic resistance, a resistor-capacitor pair resistance, a resistor-capacitor pair capacitance, a voltage across a resistor-capacitor pair, a terminal voltage, and a fuel cell output current.
4 . The method of claim 1 , wherein the battery parameter includes an ohmic resistance, a resistor-capacitor pair resistance, a resistor-capacitor pair capacitance, a voltage across a resistor-capacitor pair, a terminal voltage, and a fuel cell output current.
5 . The method of claim 1 , further comprising updating the error covariance prediction for the first state of charge of the battery utilizing the Kalman gain.
6 . The method of claim 1 , further comprising utilizing the estimated present state of charge of the battery as the initial state of charge of the battery in a subsequent iteration of the method for providing a subsequent estimated present state of charge of the battery.
7 . The method of claim 1 , further comprising utilizing the estimated present state of charge of the battery as the initial state of charge of the battery in a plurality of iterations of the method for providing an updated estimated present state of charge of the battery based upon the plurality of iterations.
8 . The method of claim 1 , wherein the battery includes a plurality of battery cells, and the method is utilized to provide an estimated present state of charge for each battery cell of the plurality of battery cells.
9 . The method of claim 8 , wherein the estimated present state of charge for each battery cell of the plurality of battery cells is averaged to provide the estimated present state of charge of the battery.
10 . The method of claim 1 , further comprising:
updating the error covariance prediction utilizing the Kalman gain; and
utilizing the estimated present state of charge as the initial state of charge in a subsequent iteration of the method for providing the estimated present state of charge.
11 . An electrical storage system comprising:
a battery pack including a battery;
a sensor in electrical communication with the battery and configured to measure an electrical parameter of the battery; and
a controller in electrical communication with the sensor, the controller configured to:
perform an estimation stage including:
a state prediction step including calculating a first state of charge of the battery utilizing an initial state of charge of the battery and the battery parameter;
an error covariance step including calculating an error covariance prediction for the first state of charge of the battery; and
perform a correction stage including:
an observation matrix update step including mapping an open circuit voltage of the battery to the initial state of charge of the battery to obtain an open circuit voltage-initial state of charge confidence slope;
a Kalman gain step including calculating a Kalman gain of the error covariance prediction for the first state of charge of the battery utilizing the open circuit voltage-initial state of charge confidence slope;
an electromotive force mapping step including mapping the open circuit voltage including electromotive force to the first state of charge;
a measurement estimate update step including correcting the first state of charge utilizing the battery parameter, the Kalman gain of the error covariance prediction for the first state of charge of the battery, and the mapping the open circuit voltage to the first state of charge to provide an estimated present state of charge.
12 . The electrical storage system of claim 11 , wherein the battery parameter includes a member selected from a group consisting of: an ohmic resistance, a resistor-capacitor pair resistance, a resistor-capacitor pair capacitance, a voltage across a resistor-capacitor pair, a terminal voltage, a fuel cell output current, and combinations thereof.
13 . The electrical storage system of claim 11 , wherein the battery parameter includes three members selected from a group consisting of: an ohmic resistance, a resistor-capacitor pair resistance, a resistor-capacitor pair capacitance, a voltage across a resistor-capacitor pair, a terminal voltage, and a fuel cell output current.
14 . The electrical storage system of claim 11 , wherein the battery parameter includes an ohmic resistance, a resistor-capacitor pair resistance, a resistor-capacitor pair capacitance, a voltage across a resistor-capacitor pair, a terminal voltage, and a fuel cell output current.
15 . The electrical storage system of claim 11 , further comprising updating the error covariance prediction for the first state of charge of the battery utilizing the Kalman gain.
16 . The electrical storage system of claim 11 , further comprising utilizing the estimated present state of charge of the battery as the initial state of charge of the battery in a subsequent iteration for providing a subsequent estimated present state of charge of the battery.
17 . The electrical storage system of claim 11 , further comprising utilizing the estimated present state of charge of the battery as the initial state of charge of the battery in a plurality of iterations for providing an updated estimated present state of charge of the battery based upon the plurality of iterations.
18 . The electrical storage system of claim 11 , wherein the battery includes a plurality of battery cells, and wherein an estimated present state of charge is provided for each battery cell of the plurality of battery cells.
19 . The electrical storage system of claim 18 , wherein the estimated present state of charge for each battery cell of the plurality of battery cells is averaged to provide the estimated present state of charge of the battery.
20 . A method for providing an estimated present state of charge of a battery pack, comprising:
Measuring electrical parameters of a plurality of battery cells of the battery pack, the electrical parameters of the plurality of battery cells including an open circuit voltage, an ohmic resistance, a RC pair resistance, a RC pair capacitance, a voltage across a RC pair, a terminal voltage, and a fuel cell output current;
calculating a first state of charge for each battery cell of the plurality of battery cells utilizing an initial state of charge and the electrical parameters;
calculating an error covariance prediction for the first state of charge of each battery cell of the plurality of battery cells;
calculating an estimated present state of charge of each battery cell of the plurality of battery cells by:
mapping the open circuit voltage to the initial state of charge to obtain an open circuit voltage-initial state of charge confidence slope,
calculating a Kalman gain of the error covariance prediction utilizing the open circuit voltage-initial state of charge confidence slope,
mapping the open circuit voltage (incorporating EMF) to the first state of charge, and
correcting the first state of charge of each battery cell of the plurality of battery cells by utilizing selected ones of the electrical parameters, and the Kalman gain, and a mapping of a resulting voltage to the first state of charge to provide the estimated present state of charge of each battery cell of the plurality of battery cells;
averaging the estimated present state of charge for each battery cell of the plurality of battery cells to provide an estimated present state of charge of the battery pack;
updating the error covariance prediction for each battery cell of the plurality of battery cells utilizing the Kalman gain; and
utilizing the estimated present state of charge of each battery cell of the plurality of battery cells as the initial state of charge in a subsequent iteration of the method to provide the estimated present state of charge for the battery pack.