The rechargeable battery parameter estimation apparatus includes: a current measurement part for measuring a current flowing through a rechargeable battery, the current measurements having an offset error; a first coefficient calculation part for calculating a first coefficient, which is a partial derivative of an estimated value of an state of charge (SoC) of the battery with respect to the offset error; a second coefficient calculation part for calculating a second coefficient, which is a partial derivative of the estimated value of the SoC with respect to a capacity error, which is a difference of a typical full charge capacity from an actual full charge capacity of the battery; and an error estimation part for estimating the offset error and the capacity error from derivative information including the first coefficient and the second coefficient, the current flowing through the battery, and the estimated value of the SoC.
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