Abstract: A battery module 1 includes a group battery 2 in which batteries 30 (31 to 33) are connected in series, and an assessment evaluation unit 3 configured to calculate respective states of health of battery cells 10, in which the group battery 2 includes label elements 20 respectively connected in parallel with the battery cells 10 and configured such that respective impedance characteristics of the batteries 30 differ from one another, and the assessment evaluation unit 3 includes a measurement unit 42 configured to measure a first Cole-Cole plot of the group battery 2, a first calculation unit 44 configured to decompose the first Cole-Cole plot into respective second Cole-Cole plots of the batteries 30, a second calculation unit 44 configured to calculate respective third Cole-Cole plots of the battery cells 10 from the second Cole-Cole plots, and a third calculation unit 45 configured to calculate respective states of the battery cells 10 from the third Cole-Cole plots.

Abstract: A temperature estimating apparatus is provided with: a deriving device configured to derive a slope function, on the basis of a value of a complex impedance of a battery at a predetermined frequency out of values obtained at a plurality of different temperatures and on the basis of a temperature of the battery when the complex impedance is obtained, wherein the slope function indicates a relation between the value of the complex impedance at the predetermined frequency and an inverse of the temperature of the battery; and an estimator configured (i) to measure a value of the complex impedance at the predetermined frequency and (ii) to substitute the measured value of the complex impedance at the predetermined frequency into the slope function, thereby estimating a temperature of the battery when the value of the complex impedance is measured.

Abstract: A battery state estimating apparatus is provided with: an acquirer configured to obtain a plurality of complex impedances of a battery at a plurality of different temperatures; a calculator configured to calculate a slope of a straight line connecting values of the obtained plurality of complex impedances at a first predetermined frequency on a complex plane having an axis that is a real component of the complex impedance and an axis that is an imaginary component of the complex impedance, as a slope of the complex impedance; a storage configured to store in advance a relation between the slope of the complex impedance and a battery state associated with the battery; and an estimator configured to estimate the battery state on the basis of the calculated slope of the complex impedance and the stored relation.

Abstract: A battery state estimating apparatus is provided with; a voltage detector configured to detect a voltage between a positive electrode and a negative electrode of a battery; an impedance detector configured to detect an impedance of the battery; a first estimator configured to estimate a first temporary value of a charge amount of the battery; a second estimator configured to estimate a second temporary value of the charge amount of the battery; and a determinator configured (i) to determine that the first temporary value is the charge amount of the battery if the first temporary value or the second temporary value is out of a predetermined range, and (ii) to determine that the second temporary value, or a corrected value of the first temporary value is the charge amount of the battery if the first temporary value or the second temporary value is within the predetermined range.

Abstract: A battery state estimating apparatus is provided with: an acquirer configured to obtain complex impedances of a battery at a different temperatures; a calculator configured to calculate a slope of a first straight line or a slope of a second straight line as an impedance slope, wherein the first straight line connects values of the complex impedances at a first predetermined frequency, wherein the second straight line connects a convergence point and at least one of values of the plurality of complex impedances at a second predetermined frequency; and an estimator configured to estimate a battery state associated with the battery on the basis of the impedance slope and a relation stored in a storage, if it is determined by a determinator that a temperature of the battery is in a predetermined temperature area.

Abstract: A battery state estimating apparatus is provided with: an acquirer configured to obtain a complex impedance of a battery; a calculator configured to calculate a ratio of a variation of a predetermined feature amount regarding the complex impedance; and an estimator configured to estimate a charge amount of the battery on the basis of the ratio of the variation of the predetermined feature amount with respect to an integrated current value, which is an integrated value of an electric current flowing through the battery.

Abstract: A battery module 1 includes a group battery 2 in which batteries 30 (31 to 33) are connected in series, and an assessment evaluation unit 3 configured to calculate respective states of health of battery cells 10, in which the group battery 2 includes label elements 20 respectively connected in parallel with the battery cells 10 and configured such that respective impedance characteristics of the batteries 30 differ from one another, and the assessment evaluation unit 3 includes a measurement unit 42 configured to measure a first Cole-Cole plot of the group battery 2, a first calculation unit 44 configured to decompose the first Cole-Cole plot into respective second Cole-Cole plots of the batteries 30, a second calculation unit 44 configured to calculate respective third Cole-Cole plots of the battery cells 10 from the second Cole-Cole plots, and a third calculation unit 45 configured to calculate respective states of the battery cells 10 from the third Cole-Cole plots.

Abstract: A temperature estimating apparatus is provided with: a deriving device configured to derive a slope function, on the basis of a value of a complex impedance of a battery at a predetermined frequency out of values obtained at a plurality of different temperatures and on the basis of a temperature of the battery when the complex impedance is obtained, wherein the slope function indicates a relation between the value of the complex impedance at the predetermined frequency and an inverse of the temperature of the battery; and an estimator configured (i) to measure a value of the complex impedance at the predetermined frequency and (ii) to substitute the measured value of the complex impedance at the predetermined frequency into the slope function, thereby estimating a temperature of the battery when the value of the complex impedance is measured.

Abstract: An impedance estimating apparatus is provided with: a deriving device configured to derive a slope function, on the basis of a value of a complex impedance of a battery at a predetermined frequency out of values obtained at a plurality of different temperatures and on the basis of a temperature of the battery when the complex impedance is obtained, wherein the slope function indicates a relation between the value of the complex impedance at the predetermined frequency and an inverse of the temperature of the battery; and an estimator configured to estimate a value of the complex impedance at the predetermined frequency corresponding to a desired temperature of the battery by using the slope function.

Abstract: A battery state estimating apparatus is provided with: an acquirer configured to obtain complex impedances of a battery at a different temperatures; a calculator configured to calculate a slope of a first straight line or a slope of a second straight line as an impedance slope, wherein the first straight line connects values of the complex impedances at a first predetermined frequency, wherein the second straight line connects a convergence point and at least one of values of the plurality of complex impedances at a second predetermined frequency; and an estimator configured to estimate a battery state associated with the battery on the basis of the impedance slope and a relation stored in a storage, if it is determined by a determinator that a temperature of the battery is in a predetermined temperature area.

Abstract: A battery state estimating apparatus is provided with: a voltage detector configured to detect a voltage between a positive electrode and a negative electrode of a battery; an impedance detector configured to detect an impedance of the battery; a first estimator configured to estimate a first temporary value of a charge amount of the battery; a second estimator configured to estimate a second temporary value of the charge amount of the battery; and a determinator configured (i) to determine that the first temporary value is the charge amount of the battery if the first temporary value or the second temporary value is out of a predetermined range, and (ii) to determine that the second temporary value, or a corrected value of the first temporary value is the charge amount of the battery if the first temporary value or the second temporary value is within the predetermined range.

Abstract: A battery state estimating apparatus is provided with: an acquirer configured to obtain a complex impedance of a battery; a calculator configured to calculate a ratio of a variation of a predetermined feature amount regarding the complex impedance; and an estimator configured to estimate a charge amount of the battery on the basis of the ratio of the variation of the predetermined feature amount with respect to an integrated current value, which is an integrated value of an electric current flowing through the battery.

Abstract: A battery state estimating apparatus is provided with: an acquirer configured to obtain a plurality of complex impedances of a battery at a plurality of different temperatures; a calculator configured to calculate a slope of a straight line connecting values of the obtained plurality of complex impedances at a first predetermined frequency on a complex plane having an axis that is a real component of the complex impedance and an axis that is an imaginary component of the complex impedance, as a slope of the complex impedance; a storage configured to store in advance a relation between the slope of the complex impedance and a battery state associated with the battery; and an estimator configured to estimate the battery state on the basis of the calculated slope of the complex impedance and the stored relation.

Abstract: An electrochemical analysis apparatus 1 includes a power controller 20 that generates a rectangular wave signal having a first frequency (f1) and applies the rectangular wave signal to an electrochemical cell 10 including a plurality of electrodes 11 to 13 and an electrolyte 14, a Fourier transform section 30 that Fourier-transforms a response signal of the electrochemical cell 10 to the rectangular wave signal and calculates frequency characteristics including a component of a second frequency f2 of an integer multiple of the first frequency f1, and a calculating section 40 that calculates an impedance characteristic of the electrochemical cell 10 based on the frequency characteristics calculated by the Fourier transform section 30.

Abstract: A battery system includes: a secondary battery; a memory portion that stores information which includes a measurement frequency, a measurement temperature, and an initial limiting capacitance of one secondary battery; a temperature measuring section; a power supply section which applies an AC signal of 0.5 mHz to 10 mHz, to the secondary battery at 40° C. to 70° C.; a measuring portion which measures an impedance of the secondary battery by the AC signal; and a calculating portion that calculates the degree of degradation of the secondary battery.

Abstract: An electrochemical analysis apparatus 1 includes a power controller 20 that generates a rectangular wave signal having a first frequency (f1) and applies the rectangular wave signal to an electrochemical cell 10 including a plurality of electrodes 11 to 13 and an electrolyte 14, a Fourier transform section 30 that Fourier-transforms a response signal of the electrochemical cell 10 to the rectangular wave signal and calculates frequency characteristics including a component of a second frequency f2 of an integer multiple of the first frequency f1, and a calculating section 40 that calculates an impedance characteristic of the electrochemical cell 10 based on the frequency characteristics calculated by the Fourier transform section 30.

Abstract: A battery system includes: a secondary battery; a memory portion that stores information which includes a measurement frequency, a measurement temperature, and an initial limiting capacitance of one secondary battery; a temperature measuring section; a power supply section which applies an AC signal of 0.5 mHz to 10 mHz, to the secondary battery at 40° C. to 70° C.; a measuring portion which measures an impedance of the secondary battery by the AC signal; and a calculating portion that calculates the degree of degradation of the secondary battery.

Abstract: An electrochemical analysis apparatus includes a power controller, a Fourier transform unit, and a calculating unit. The power controller generates a rectangular-wave signal, a first frequency F and a duty ratio D, and applies the signal to an electrochemical cell. The Fourier transform unit performs Fourier transform on first data obtained by sampling a response signal of the cell to calculate a first frequency characteristic including a component of a second frequency integer times as high as the first frequency. The Fourier transform unit performs Fourier transform on second data, a sampling start time of which is (1/F)·D (seconds) different from the first data from which the first frequency characteristic is calculated, to calculate a second frequency characteristic including a component of the second frequency. The calculating unit calculates an impedance characteristic of the cell based on the first frequency characteristic and the second frequency characteristic.

Abstract: A battery system 1 includes a secondary battery 10 including a positive electrode 11, a negative electrode 15, and electrolytes 12 and 14, a storing section 23 configured to store peculiar information of the secondary battery 10 measured in advance including an initial resistance value and an evaluation frequency, a power supply section 20 configured to apply an alternating current signal having the evaluation frequency stored in the storing section 23 to the secondary battery 10, a measuring section 22 configured to measure impedance of a solid electrolyte interphase 17 of the secondary battery 10 from the alternating current signal, and a calculating section 24 configured to calculate at least one of a deterioration degree and a charging depth of the secondary battery 10 from the impedance and the peculiar information.