Method for predicting the loading capability of an electrochemical element
First Claim
1. A method for predicting loading capability of a battery comprising:
- measuring current I, voltage U and temperature T of the battery;
forming an equivalent circuit with an equivalent circuit diagram -Uo-R-CS-, wherein Uo is voltage at t=o, R is resistance and CS is capacitance;
correcting input voltage U′
of the equivalent circuit diagram with respect to measured battery voltage U, the correcting containing as variables only current I, voltage U and temperature T and as a nonlinear term a logarithmic dependency on I;
varying parameters of components of the equivalent circuit diagram and state variables;
comparing measured values with corresponding values of responses of the equivalent circuit diagram of the battery; and
determining the loading capability from matched parameters and state variables.
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Abstract
A method for predicting the loading capability of an accumulator by measuring the current I, voltage U and temperature T of the accumulator, and comparing the measured values with the corresponding values of the response of an equivalent circuit diagram of the accumulator, the parameters of the components of the equivalent circuit diagram and the state variables are varied so that a match with the measured values is obtain. The loading capability is deduced from the matched parameters and state variables determined in this way. The equivalent circuit diagram has the form -Uo-R-CS- and the input voltage U′ of the equivalent circuit diagram is a voltage that is corrected with respect to the measured battery voltage U, the correction function containing as variables only the current I, the voltage U and the temperature T and as a nonlinear term a logarithmic dependency on I. By using the equivalent circuit diagram, the instantaneous loading capability, i.e., the response of the battery under a hypothetical load with an assumed current value I, is predicted by imposing this current value I on the equivalent circuit diagram with the found parameters and evaluating the voltage response calculated.
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Citations
20 Claims
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1. A method for predicting loading capability of a battery comprising:
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measuring current I, voltage U and temperature T of the battery;
forming an equivalent circuit with an equivalent circuit diagram -Uo-R-CS-, wherein Uo is voltage at t=o, R is resistance and CS is capacitance;
correcting input voltage U′
of the equivalent circuit diagram with respect to measured battery voltage U, the correcting containing as variables only current I, voltage U and temperature T and as a nonlinear term a logarithmic dependency on I;
varying parameters of components of the equivalent circuit diagram and state variables;
comparing measured values with corresponding values of responses of the equivalent circuit diagram of the battery; and
determining the loading capability from matched parameters and state variables. - View Dependent Claims (3, 4, 5, 6, 8, 10, 15, 17, 19)
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2. A method for predicting loading capability of a battery comprising:
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measuring current I, voltage U and temperature T of the battery;
forming an equivalent circuit with an equivalent circuit diagram -Uo-R-CS-, wherein Uo is voltage at t=o, R is resistance and CS is capacitance;
correcting input voltage U′
of the equivalent circuit diagram with respect to measured battery voltage U, the correcting containing as variables only current I, voltage U and temperature T and as a nonlinear term a logarithmic dependency on I′
, and I′
is obtained from I by low-pass filtering;
varying parameters of components of the equivalent circuit diagram and state variables;
comparing measured values with corresponding values of responses of the equivalent circuit diagram of the battery; and
determining the loading capability from matched parameters and state variables. - View Dependent Claims (7, 9, 11, 12, 13, 14, 16, 18, 20)
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Specification