Method for estimating the state of health of an electrochemical cell for storing electrical energy
A method for estimating a state of health of an electrochemical cell for storing electrical energy includes applying at least one current strength peak to the cell, the current peak passing through the cell, measuring a variation, as a function of a time t elapsed after the application of the current peak, of voltage U at the terminals of the cell, and calculating at least one coefficient α I 1 and at least one coefficient U 0,I 1 such that the function √{square root over (t)}→α I 1 ×√{square root over (t)}+U 0,I 1 is a linear approximation of the variation of the voltage U as a function of √{square root over (t)} for √{square root over (t)}≥C, where C>0. The method is used in electrical or hybrid vehicles.
1. A method for estimating a state of health of an electrochemical cell for storing electrical energy, the method comprising:
applying to the cell at least one current peak of intensity I 1 , the current peak flowing through the cell;
measuring a variation, as a function of a time t that has passed after an application of the current peak, of a voltage U across terminals of the cell;
calculating at least one coefficient α I 1 and at least one coefficient U 0,I 1 such that U=α I 1 ×√{square root over (t)}+U 0,I 1 is a linear approximation of the variation of the voltage U as a function of √{square root over (t)}, where √{square root over (t)}≥1;
calculating a coefficient β such that −U/√{square root over (t)}=β×I is a linear approximation of a variation of ΔU/√{square root over (t)} as a function of I, wherein a plurality of current peaks of intensities (I n ) n≥2 are applied to the cell (I 1 , I 2 , I 3 , I 4 , I 5 );
estimating the state of health of the cell based on either of the coefficients calculated in the calculating; and
detecting a fault with connection hardware of the cell when at least one of the coefficients is increasing above a predetermined amount with respect to a value of the coefficient at a beginning of life of the cell.
2. The method as claimed in claim 1 , wherein, the coefficients α I 1 and U 0,I 1 having been calculated a first time at the beginning of life of the cell, the method further comprises:
calculating a ratio of a value currently calculated of α I 1 with respect to its value calculated at the beginning of life, an increase of the coefficient α I 1 beyond a predetermined value of said ratio indicating an incapacity of the cell to deliver a current, and/or;
calculating a ratio of a value currently calculated of U 0,I 1 with respect to its value calculated at the beginning of life, an increase in the coefficient U 0,I 1 beyond a predetermined value of said ratio indicating an incapacity of the cell to deliver the current.
3. The method as claimed in claim 1 , wherein, tables or graphs of aging having been filled out beforehand, the method further comprises:
comparing a value currently calculated of α I 1 with values contained in a table or a graph of aging associating levels of aging with values of α I 1 , in such a manner as to deduce a level of aging of the cell, and/or;
comparing a value currently calculated of U 0,I 1 with values contained in a table or a graph of aging associating levels of aging with values of U 0,I 1 , in such a manner as to deduce the level of aging of the cell.
4. The method as claimed in claim 1 , wherein, the coefficient β having been calculated a first time at the beginning of life of the cell, the method further comprises:
calculating a ratio of a value currently calculated of β with respect to its value calculated at the beginning of life, an increase in the coefficient β beyond a predetermined value of said ratio indicating an incapacity of the cell to deliver a current.
5. The method as claimed in claim 1 , wherein, tables or graphs of aging having been filled out beforehand, the method further comprises:
comparing a value currently calculated of β with values contained in a table or a graph of aging associating levels of aging with values of β, in such a manner as to deduce the level of aging of the cell.
6. The method as claimed in claim 1 , further comprising:
calculating a coefficient γ such that −U 0,I 1 =γ×I+OCV, where OCV is an open circuit voltage of the cell, is a linear approximation of the variation of U 0,I as the function of I.
7. The method as claimed in claim 6 , wherein, the coefficient γ having been calculated a first time at the beginning of life of the cell, the method further comprises:
calculating a ratio of a value currently calculated of γ with respect to its value calculated at the beginning of life of the cell, an increase in the coefficient γ beyond a predetermined value of said ratio indicating an incapacity of the cell to deliver a current.
8. The method as claimed in claim 7 , wherein, tables or graphs of aging having been filled out beforehand, the method further comprises:
comparing the value currently calculated of γ with values contained in a table or a graph of aging associating levels of aging with values of γ, in such a manner as to deduce the level of aging of the cell.