METHOD FOR DETERMINING THE INTERNAL IMPEDANCE OF A BATTERY CELL IN A STRING OF SERIALLY CONNECTED BATTERY CELLS
First Claim
1. In a system having a plurality of rechargeable battery cells arranged in at least one string having a plurality of serially connected battery cells to form a battery system and including a charger coupled across said at least one string, a method for determining the internal impedance of each of said plurality of serially connected battery cells in said at least one string while the battery cells remain connected in the battery system, the method comprising the steps of:
- a) drawing a first predetermined current I1 across a first battery cell in said at least one string;
b) measuring the voltage V1,1 across said first battery cell during the drawing of said first predetermined current;
c) measuring the voltage V2,1 across a second battery cell in said at least one string during the drawing of said first predetermined current;
d) drawing a second predetermined current I2 across said second battery cell;
e) measuring the voltage V1,2 across said first battery cell during the drawing of said second predetermined current;
f) measuring the voltage V2,2 across said second battery cell during the drawing of said second predetermined current;
g) solving the two simultaneous equations
I1=V1,1/Z1+V2,1/Z2
I2=V1,2/Z1+V2,2/Z2 for Z1 and Z2, where Z1 is the internal impedance of said first battery cell and Z2 is the internal impedance of said second battery cell;
h) calculating an impedance multiplier term IM from the equation IM=(Z2I1)/(I1Z2−
V2,1); and
i) for each of the remaining battery cells in said at least one string i1) drawing a predetermined current I across said each battery cell;
i2) measuring the voltage V across said each battery cell during the drawing of said predetermined current; and
i3) calculating the internal impedance Z of said each battery cell from the equation z=(V/I)IM.
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Abstract
A method for determining the internal impedance of each battery cell within a system including at least one parallel string of serially connected battery cells without disconnecting the battery cells from the system, which initially makes measurements of two battery cells within each string to calculate the internal impedance of each of those two battery cells and to calculate a common impedance multiplier term for the rest of the battery cells in each string. The remaining battery cells in each string are individually measured and the common impedance multiplier term for that string is used to account for measured current which comes from the Thevenin equivalent voltage source of the rest of the system, in addition to current drawn from the battery cell being measured.
22 Citations
3 Claims
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1. In a system having a plurality of rechargeable battery cells arranged in at least one string having a plurality of serially connected battery cells to form a battery system and including a charger coupled across said at least one string, a method for determining the internal impedance of each of said plurality of serially connected battery cells in said at least one string while the battery cells remain connected in the battery system, the method comprising the steps of:
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a) drawing a first predetermined current I1 across a first battery cell in said at least one string;
b) measuring the voltage V1,1 across said first battery cell during the drawing of said first predetermined current;
c) measuring the voltage V2,1 across a second battery cell in said at least one string during the drawing of said first predetermined current;
d) drawing a second predetermined current I2 across said second battery cell;
e) measuring the voltage V1,2 across said first battery cell during the drawing of said second predetermined current;
f) measuring the voltage V2,2 across said second battery cell during the drawing of said second predetermined current;
g) solving the two simultaneous equations
I1=V1,1/Z1+V2,1/Z2
I2=V1,2/Z1+V2,2/Z2for Z1 and Z2, where Z1 is the internal impedance of said first battery cell and Z2 is the internal impedance of said second battery cell;
h) calculating an impedance multiplier term IM from the equation IM=(Z2I1)/(I1Z2−
V2,1); and
i) for each of the remaining battery cells in said at least one string i1) drawing a predetermined current I across said each battery cell;
i2) measuring the voltage V across said each battery cell during the drawing of said predetermined current; and
i3) calculating the internal impedance Z of said each battery cell from the equation z=(V/I)IM. - View Dependent Claims (2, 3)
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Specification