# Patent

## Title
Battery capacity calculating method, battery capacity calculating apparatus and battery capacity calculating program

## Abstract

A battery calculating method, apparatus, and program are provided. The battery capacity calculating method and apparatus can very accurately calculate a residual capacity of a secondary battery especially in the last stage of discharging independently of environmental conditions such as a temperature or a deteriorated state. the battery capacity calculating apparatus is equipped with a voltage measuring circuit which measures the terminal voltage (Vmea) of a battery at the time of discharging, a current measuring circuit which measures the current value (I) of the battery at the time of discharging, and a control circuit which calculates a residual capacity and/or residual power. The operation unit in the control circuit calculates a discharged capacity (Qmea) and an apparent discharged capacity (Qocv) based on a terminal voltage (Vmea) and a current value (I) measured by the voltage measuring circuit and the current measuring circuit, respectively, estimates a discharge curve (Cpre) in the future including the last stage of discharging based on a capacity shift (ΔQ) being the difference between the discharged capacity (Qmea) and the apparent discharged capacity (Qocv) during discharging, and calculates the residual capacity and/or the residual power of the battery based on the estimated discharge curve (Cpre).

## Background
CROSS REFERENCE TO RELATED APPLICATION
The present application claims priority to Japanese Patent Document No. 2002-331971 filed on Nov. 15, 2002, the disclosure of which is herein incorporated by reference.
BACKGROUND OF THE INVENTION
The present invention relates to a battery capacity calculating method, a battery capacity calculating apparatus and a battery capacity calculating program, all being for calculating residual capacities and/or residual power of a secondary battery.
For example, like a notebook type personal computer and a portable telephone, an electronic apparatus having a secondary battery (hereinafter simply referred to as a battery), such as a lithium ion secondary battery, as its power supply has been spread recently.
As a method for calculating a residual capacity of a battery, various methods have been proposed and examined. They are, for example, a method using a relation between terminal voltages and residual capacities of a battery, and a method of subtracting a discharged capacity obtained by integrating discharging currents from a fully charged capacity in the case where the discharged capacity at the time of the fully charged capacity is defined as “0”.
Here, the relations between the terminal voltages and the residual capacities can be expressed by curves Cnew and Cold along which the terminal voltages decrease to a predetermined discharge stopping voltage Vcut as the residual capacities decrease, as shown in FIG. 16, for example. In particular, in a battery, the terminal voltage thereof has a tendency of falling rapidly when the residual capacity becomes in the neighborhood of “0”, namely in the last stage of discharging. Accordingly, a predetermined discharge warning voltage Vwar is set in this region. Incidentally, in the drawing, a curve Cnew expresses the terminal voltages of an initial battery which has not deteriorated, and a curve Cold expresses the terminal voltages of a deteriorated battery which has deteriorated by use. That is, in the battery, it is known that, when the battery was used for a long period of time and has been deteriorated, the relation between the terminal voltages and the residual capacities of the battery significantly changes, even if the discharging conditions are the same. Therefore, a problem of decreasing the estimation accuracy of the residual capacity is pointed out in a battery capacity calculating method using the above-mentioned relation between the terminal voltages and the residual capacities of a battery.
Accordingly, it is necessary to take into consideration a measure to the changes of the voltage characteristic owing to such a deterioration of a battery on calculating the residual capacity of the battery. As for the above-mentioned battery capacity calculating method of subtracting the discharged capacity obtained by integrating the discharging currents from the fully charged capacity, various methods have been examined as a method of coping with the changes of the voltage characteristic owing to the deterioration of a battery (see, for example, Japanese Patent Application Laid-Open Publications No. 2002-236154 and No. 2002-162452). They are, for example, a method of counting the number of the cycles of charging and discharging and correcting the fully charged capacity of a battery according to the counted number of the cycles, a method of correcting the fully charged capacity of a battery using a charged capacity until the battery becomes in its fully charged state, and the like.
Japanese Patent Application Laid-Open Publication No. 2002-236154 discloses “a residual capacity correcting method of a battery” as a method of counting the number of the cycles of charging and discharging to correct the fully charged capacity of the battery according to the counted number of the cycles. The Japanese Patent Application Laid-Open Publication No. 2002-236154 describes that not only the number of the cycles but also the display error of the residual capacity can be lessened, even if a battery is used after being saved for a long period of time, by correcting the fully charged capacity of the battery according to the saving state thereof.
Moreover, the Japanese Patent Application Laid-Open Publication No. 2002-162452 discloses “a battery residual quantity detecting circuit” as a method of correcting the fully charged capacity of a battery using a charged capacity until the battery becomes the fully charged state. The Japanese Patent Application Laid-Open Publication No. 2002-162452 describes that the residual capacity of a battery can be detected accurately by correcting fully charged capacity using the charged capacity to the fully charged state at the time of discharging to predetermined discharge warning voltage even if the voltage characteristic of the battery has changed.
However, the technique described in the Japanese Patent Application Laid-Open Publication No. 2002-236154 includes a problem in which a value different from the actual fully charged capacity is calculated owing to the variety of the actual use environments and the actual deterioration forms if the fully charged capacity is corrected using a correction coefficient measured in ideal environment.
Moreover, there are the following problems in the technique described in the Japanese Patent Application Laid-Open Publication No. 2002-162452.
Since an electronic apparatus connected to a battery usually shifts to the termination processing thereof with the battery having a residual capacity necessary for the termination processing, the discharge warning voltage is set to be higher rather than the original discharge stopping voltage of the battery. Here, although the discharge warning voltage is determined using the measured data of the initial battery, which has not deteriorated, the inclination of the curve in the last stage of discharging becomes gentle as the battery becomes deteriorated as shown in FIG. 16. In other words, the inclination of the discharge curve of a battery in the last stage of discharging, which shows the relation of the discharged capacities and the terminal voltages of the battery, becomes gentle as the battery becomes deteriorated. Consequently, even if the voltage of the deteriorated battery is the discharge warning voltage or less which has been determined based on an initial battery which has not deteriorated yet, a sufficient capacity remains in the deteriorated battery.
However, because the technique described in the Japanese Patent Application Laid-Open Publication No. 2002-162452 cannot lower the discharge warning voltage according to the deteriorated state of a battery, the fully charged capacity is underestimated. Then, there is a problem in which, even if a battery has not actually deteriorated so much, the residual capacity thereof is calculated too little, and the real use time of an electronic apparatus becomes shorter, as a result.
On the other hand, as a method of calculating the residual capacity of a battery from a viewpoint different from the method using the relation between the terminal voltages and the residual capacities and the method of subtracting the discharged capacity obtained by integrating the discharging currents from the fully charged capacity as discloses in the Japanese Patent Application Laid-Open Publications No. 2002-236154 and No. 2002-162452, there is a technique described in Japanese Patent Application Laid-Open Publication No. 2001-231179.
The Japanese Patent Application Laid-Open Publication No. 2001-231179 discloses “a battery capacity detecting method, and an apparatus and a battery pack” as a method of calculating a residual capacity using the internal impedance and the equilibrium voltage of a battery. Incidentally, the equilibrium voltage indicates a terminal voltage of a battery when the internal states of the electrode and the electrolytic solution of the battery become stable after the battery has been left in the state in which the terminals of the battery were opened for a long period of time. The Japanese Patent Application Laid-Open Publication No. 2001-231179 discloses a technique of measuring an equilibrium voltage curve which shows the relation of the discharged capacities and the equilibrium voltages of a deteriorated battery, and the internal impedance thereof to calculate the residual capacity of the battery based on the voltage drop by the internal impedance. The Japanese Patent Application Laid-Open Publication No. 2001-231179 also describes that the applicant of the application tried to calculate not only the residual capacity but also accurate residual power.
However, the technique described in the Japanese Patent Application Laid-Open Publication No. 2001-231179 includes the following problem.
The voltage drops ΔV owing to the internal impedance of a battery is expressed by the differences of the equilibrium voltage curve Cequ and the discharge curve Cdch as shown in FIG. 17. The internal impedance changes in dependence on discharged capacities, and significantly increases in the last stage of discharging. Therefore, in order to calculate residual capacities using the internal impedance, it becomes the most important matter to take into consideration the increase of the internal impedance in the last stage of discharging.
Now, it is known that the internal impedance of a battery also changes as the battery becomes deteriorated. The technique described in the Japanese Patent Application Laid-Open Publication No. 2001-231179, tries to calculate residual power by measuring the internal impedance suitably. In particular, in order to measure the increase of the internal impedance in the last stage of discharging, it is necessary to perform discharging completely till the last stage of discharging.
That is, because the technique described in the Japanese Patent Application Laid-Open Publication No. 2001-231179 cannot grasp the internal impedance in the last stage of discharging during discharging, the technique has a problem in which a residual capacity cannot be accurately estimated in the case where the internal impedance measured in advance has significantly changed in comparison with the present internal impedance such as a case where a battery begins to discharge from the state saved for a long period of time and a case where a battery has deteriorated by the repetition of charging and discharging at a shallow depth of a discharge.
As mentioned above, these various conventional battery capacity calculating method cannot previously estimate the discharge curve of a deteriorated battery especially in the last stage of discharging. Consequently, there is a problem in which, in the case where a residual capacity is calculated using the conventional battery capacity calculating method, the capacity of the battery cannot be used up completely and then the real use time of an electronic apparatus became shorter.
That is, the conventional battery capacity calculating methods severally have a contradictory problem in which the methods cannot calculate an accurate residual capacity until a battery has discharged almost completely, and it is needed to grasp the accurate residual capacity beforehand in order to perform almost complete discharging on the other hand. This fact means that the conventional battery capacity calculating methods are actually unrealizable.
Moreover, by the conventional battery capacity calculating methods, the situation of being unable to detect the true deteriorated state of a battery and detecting the deterioration of the battery excessively because the capacity of the battery cannot be used completely is also caused.
SUMMARY OF THE INVENTION
The present invention provides a battery capacity calculating method, a battery capacity calculating apparatus and a battery capacity calculating program, all capable of calculating the residual capacities of a battery very accurately especially in the last stage of discharging and prolonging the life of the battery independent of the environmental conditions of the battery such as the temperature and the deteriorated state of the battery.
A battery capacity calculating method according to an embodiment of the present invention is a battery capacity calculating method for calculating a residual capacity and/or residual power of a secondary battery, including: an equilibrium voltage curve calculating step for calculating an equilibrium voltage curve Cequ showing a relation between a discharged capacity and an equilibrium voltage in the secondary battery; a voltage current measuring step for measuring a terminal voltage Vmea and a current value I of the secondary battery at a time of discharging; a discharged capacity calculating step for calculating a discharged capacity Qmea of the secondary battery based on the terminal voltage Vmea and the current value I, both measured at the voltage current measuring step; an apparent equilibrium voltage calculating step for calculating an apparent equilibrium voltage Vocv by adding a voltage drop ΔVdc by a direct current resistance Rdc to the terminal voltage Vmea; an apparent discharged capacity calculating step for calculating an apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv calculated at the equilibrium voltage calculating step based on the equilibrium voltage curve Qequ calculated at the equilibrium voltage curve calculating step; a capacity shift calculating step for calculating a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv; and an estimating step for estimating a discharge curve Cpre in a future based on the capacity shift ΔQ calculated at the capacity shift calculating step.
Such a battery capacity calculating method according to an embodiment of the present invention sequentially measures a terminal voltage Vmea and a current value I at a time of discharging, calculates a discharged capacity Qmea and an apparent discharged capacity Qocv based on the terminal voltage Vmea and the current value I, and estimates a discharge curve Cpre in a future including the last stage of discharging during discharging based on a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv. Thereby, the battery capacity calculating method according to an embodiment of the present invention can obtain an accurate residual capacity and/or residual power, which could not calculated until the battery has almost completely discharged conventionally, during discharging.
To put it more concretely, at the estimating step, when a state of the battery is close to the last stage of discharging, a reduction rate dQ of a capacity shift to a discharged capacity is calculated based on the discharged capacity Qmea calculated at the discharged capacity calculating step and the capacity shift ΔQ calculated at the capacity shift calculating step, and the discharge curve Cpre in the future is estimated based on the capacity shift ΔQ and the reduction rate dQ.
In this case, the capacity shift ΔQ is expressed by a linear function of the discharged capacity Qmea when the state of the battery is close to the last stage of discharging. Consequently, the discharge curve Cpre in the future can be easily estimated.
On the other hand, at the estimating step, when a state of the battery is not in the last stage of discharging, the equilibrium voltage Vequ corresponding to the discharged capacity Qmea is calculated based on the equilibrium voltage curve Cequ, and the discharge curve Cpre in the future is estimated based on the voltage drop ΔV being the difference between the equilibrium voltage Vequ and the terminal voltage Vmea.
Then, the battery capacity calculating method according to an embodiment of the present invention includes a switching step for performing a judgment whether a state of the battery is near the last stage of discharging or not based on the apparent equilibrium voltage Vocv to switch an estimating method of the discharge curve Cpre according to a judgment result.
Thereby, the battery capacity calculating method according to an embodiment of the present invention becomes possible to estimate a discharge curve especially in the last stage of discharging very accurately during discharging.
Moreover, the battery capacity calculating apparatus according to an embodiment of the present invention is a battery capacity calculating apparatus for calculating a residual capacity and/or residual power of a secondary battery, including: voltage measuring means for measuring a terminal voltage Vmea of the secondary battery at a time of discharging; current measuring means for measuring a current value I of the secondary battery at the time of discharging; and operation processing means for calculating the residual capacity and/or the residual power of the secondary battery, wherein the operation processing means calculates an equilibrium voltage curve Cequ showing a relation between a discharged capacity and an equilibrium voltage in the secondary battery, calculates a discharged capacity Qmea of the secondary battery based on the terminal voltage Vmea measured with the voltage measuring means and the current value I measured with the current measuring means, calculates an apparent equilibrium voltage Vocv by adding a voltage drop ΔVdc by a direct current resistance Rdc to the terminal voltage Vmea, calculates an apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv based on the equilibrium voltage curve Qequ, calculates a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv and estimates a discharge curve Cpre in a future based on the capacity shift ΔQ.
Such a battery capacity calculating apparatus according to an embodiment of the present invention sequentially measures the terminal voltage Vmea and the current value I at the time of discharging with the voltage measuring means and the current measuring means, respectively, and calculates a discharged capacity Qmea and an apparent discharged capacity Qocv based on the terminal voltage Vmea and the current value I with the operation processing means, and estimates a discharge curve Cpre in the future including the last stage of discharging based on the capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv with the operation processing means. Thereby, the battery capacity calculating apparatus according to an embodiment of the present invention can obtain the accurate residual capacity and/or the residual power, which could not calculated conventionally until the battery has discharged almost completely, during discharging.
Moreover, a battery capacity calculating program according to an embodiment of the present invention is a battery capacity calculating program capable of being executed by a computer for calculating a residual capacity and/or residual power of a secondary battery, including: equilibrium voltage curve calculating processing for calculating an equilibrium voltage curve Cequ showing a relation between a discharged capacity and an equilibrium voltage of the secondary battery; voltage current measuring processing for measuring a terminal voltage Vmea and a current value I of the secondary battery at a time of discharging; discharged capacity calculating processing for calculating a discharged capacity Qmea of the secondary battery based on the terminal voltage Vmea and the current value I, both measured by the voltage current measuring processing; apparent equilibrium voltage calculating processing for calculating an apparent equilibrium voltage Vocd by adding a voltage drop ΔVdc by a direct current resistance Rdc to the terminal voltage Vmea; apparent discharged capacity calculating processing for calculating an apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv calculated by the equilibrium voltage calculating processing based on the equilibrium voltage curve Cequ calculated by the equilibrium voltage curve calculating processing; capacity shift calculating processing for calculating a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv; and estimating processing for estimating a discharge curve Cpre in a future based on the capacity shift ΔQ calculated by the capacity shift calculating processing.
Such a battery capacity calculating program according to an embodiment of the present invention sequentially measures the terminal voltage Vmea and the current value I at the time of discharging, calculates the discharged capacity Qmea and the apparent discharged capacity Qocv based on the terminal voltage Vmea and the current value I, and estimates the discharge curve Cpre in the future including the last stage of discharging during discharging based on the capacity shift ΔQ being the difference between the discharged capacity Qmea and the apparent discharged capacity Qocv. Thereby, an apparatus provided with the battery capacity calculating program according to the present invention, can obtain an accurate residual capacity and/or residual power, which could not been calculated until the battery has discharged almost completely conventionally, during discharging.
Additional features and advantages of the present invention are described in, and will be apparent from, the following Detailed Description of the Invention and the figures.



BRIEF DESCRIPTION OF THE FIGURES
FIG. 1 is a view illustrating voltage changes at the time of stopping discharging, and is one for illustrating the principle of a battery capacity calculating method shown as an embodiment of the present invention.
FIG. 2 is a view illustrating a relation of terminal voltages to discharged capacities at the time of discharging, and a relation of apparent discharged capacities to apparent equilibrium voltages.
FIG. 3 is a view illustrating a relation between discharged capacities and capacity shifts.
FIG. 4 is a view illustrating an equilibrium voltage curve showing a relation between discharged capacities and equilibrium voltages.
FIG. 5 is a view illustrating a relation between discharged capacities and voltages, and illustrates a method for calculating residual capacities and residual power based on voltage drops which are the differences of the terminal voltages at the time of discharging and the equilibrium voltages.
FIG. 6 is a view illustrating a relation between discharged capacities and voltages, and illustrates a method for estimating a discharge curve in the last stage of discharging based on apparent equilibrium voltages obtained by correcting terminal voltages at the time of discharging and capacity shifts, and for calculating residual capacities and residual power.
FIG. 7 is a view illustrating an equilibrium voltage curve of an initial battery and an equilibrium voltage curve of a deteriorated battery, and illustrates a method for obtaining an equilibrium voltage curve of a deteriorated battery based on shrinkage ratios.
FIG. 8 is a view illustrating a state in which the square roots of the absolute values of voltage change rates almost linearly decrease to the logarithms of the times from a charging stop in the case where the charging is stopped compulsorily.
FIG. 9 is a block diagram illustrating a concrete battery capacity calculating apparatus to which the same battery capacity calculating method is applied.
FIG. 10 is a flowchart illustrating a series of processing at the time of calculating the residual capacities and the residual power of a battery in the same battery capacity calculating apparatus.
FIG. 11 is a flowchart illustrating the details of a charging processing step shown in FIG. 10.
FIG. 12 is a flowchart illustrating the details of a discharging processing step shown in FIG. 10.
FIG. 13 is a flowchart illustrating the details of a first residual capacity calculating step shown in FIG. 12.
FIG. 14 is a flowchart illustrating the details of a second residual capacity calculating step shown in FIG. 12.
FIG. 15 is a flowchart illustrating the details of a pause processing step shown in FIG. 10.
FIG. 16 is a view illustrating a relation between terminal voltages and residual capacities, and illustrates a state in which the characteristic of an initial battery changes to a characteristic of a deteriorated battery.
FIG. 17 is a view illustrating relations between voltages and discharged capacities, and illustrates a state in which voltage drops by the internal impedance of a battery change in dependence on discharged capacities.



DETAILED DESCRIPTION OF THE INVENTION
The present invention relates to a battery capacity calculating method, a battery capacity calculating apparatus and a battery capacity calculating program, all being for calculating residual capacities and/or residual power of a secondary battery.
In the following, various embodiments to which the present invention is applied is described in detail, referring to the attached drawings.
The present embodiment is a battery capacity calculating method for calculating residual capacities of a secondary battery such as a lithium ion secondary battery used as a power supply of an electronic apparatus such as a notebook type personal computer and a portable telephone. The present embodiment is based on the fact that the applicant of the present application had a knowledge that it was possible to estimate a discharge curve in the last stage of discharging very accurately despite during discharging by performing examinations of the characteristics of discharge curves in the last stage of discharging and the physicochemical phenomena in the inside of the secondary battery under various conditions, and by measuring the terminal voltages and the current values at the time of discharging. That is, the battery capacity calculating method sequentially measures the terminal voltages and the current values of a secondary battery, and estimates a discharge curve in future including the last stage of discharging during discharging based on the measured terminal voltages and the current values. Thereby, the battery capacity calculating method can obtain accurate residual capacities during discharging, which have not been able to be calculated conventionally until the secondary battery has discharged almost completely.
Incidentally, in the following, the secondary battery will be called as a battery simply in descriptions. Moreover, in the following descriptions, an equilibrium voltage indicates a terminal voltage at the time when the internal states of the electrode and the electrolytic solution of a battery becomes stable after leaving the battery for long period of time in the state in which the terminals of the battery is opened. An equilibrium voltage curve means a curve showing a relation between discharged capacities and equilibrium voltages. Furthermore, in the following descriptions, a discharge curve means a curve showing a relation between discharged capacities and terminal voltages, and the capacity at the time of a fully charged state is defined as “0” as for the discharged capacities.
First, in order to describe the principle of the battery capacity calculating method, FIG. 1 is used to describe a relation between an equilibrium voltage curve and a discharge curve.
In a battery, when it is discharging, the terminal voltage Vmea thereof usually takes a value lower than that of the equilibrium voltage Vequ thereof according to the current values at the time of discharging by the influence of the internal impedance of the battery.
Now, a case where discharging is stopped at a certain time t and the terminals of a battery are opened is examined as the time changes of the discharge curve Cdch in that case is shown in the same figure. In this case, the terminal voltage increases gently in time after the terminal voltage has rapidly increased just after the stop of discharging. When the battery has been left as it is for a predetermined time, the terminal voltage accords with the equilibrium voltage Vequ.
This phenomenon shows that the internal impedance of a battery is divided roughly into two kinds, a component which instantaneously responds to a change of a current value and a component which responds tardily. Here, the voltage which has increased rapidly immediately after the stop of discharging is called as an apparent equilibrium voltage Vocv. Moreover, the voltage drops ΔV (=Vequ−Vmea) expressed by differences between the equilibrium voltages Vequ and the terminal voltages Vmea at the time of discharging are classified into voltage drops ΔVdc (=Vocv−Vmea) and ΔVdi (=Vequ−Vocv) according to the time constants of the voltage changes after the stop of discharging. The former is called as voltage drops ΔVdc by a direct current resistance Rdc, and the latter is called as voltage drops ΔVdi by diffusion.
To put it concretely, the direct current resistance Rdc is caused by electric resistances of the electrode and the electrolytic solution constituting the battery and an overvoltage generated at the interface between the electrode and the electrolytic solution. The voltage drops ΔVdc by the direct current resistance Rdc almost accord with the Ohm's law, and can be expressed by the products of current values I and the direct current resistance Rdc.
On the other hand, the voltage drops ΔVdi by the diffusion are caused by a concentration distribution of chemical materials carrying electric charges in the inside of the battery, and relates to the mobility of the electric charges in the inside of the electrolytic solution. Conversely, it is considerable that the phenomenon of a gentle rise of the terminal voltages by the voltage drops ΔVdi by the diffusion in time after the stop of discharging is caused by the fact that the phenomenon of returning the concentration distribution of the chemical material to be homogeneous is produced gently in time when the discharging is stopped in the state in which a deflection has been generated in the concentration distribution of the chemical material by the movement of electric charges at the time of the discharging. Since the concentration distribution of the chemical material in the inside of the battery is always changing during discharging, unlike the voltage drops ΔVdc by the direct current resistance Rdc, the voltage drops ΔVdi by the diffusion cannot be expressed simply.
By the way, to calculate an accurate residual capacity of a battery is concentrated to estimate the discharge curve in the last stage of discharging accurately. The applicant of the present application ascertained by experiments that the increase of the internal impedance appearing in the last stage of discharging had a dominant factor in the component which responded tardily to the change of the current value between the two kinds of internal impedance components mentioned above. That is, the applicant ascertained that the increase of the internal impedance appearing in the last stage of discharging was a phenomenon produced by a rapid increase of the voltage drop ΔVdi by diffusion. Consequently, in order to estimate the discharge curve in the last stage of discharging accurately, it becomes the most important matter to estimate the voltage drop ΔVdi by the diffusion accurately.
Here, as shown in FIG. 2, the case where the terminal voltage is Vmea when the discharged capacity is Qmea is considered, and the apparent equilibrium voltage Vocv obtained by adding the voltage drop ΔVdc by the direct current resistance Rdc to the terminal voltage Vmea is noted. Moreover, the difference between a discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv on the equilibrium voltage curve Cequ and a present discharged capacity Qmea is defined as a capacity shift ΔQ (=Qocv−Qmea). Since a curve Cdc obtained by plotting the apparent equilibrium voltages Vocv and the equilibrium voltage curve Cequ accord with each other in the case where no concentration distribution of the chemical material carrying electric charges in the inside of the battery has occurred at this time, namely in the case where the concentration distribution of the chemical material is homogeneous, the capacity shift ΔQ is “0”. Consequently, the capacity shift ΔQ is considerable to be a measure showing the degree of the concentration distribution of the chemical material generated in the inside of the battery.
Accordingly, the applicant of the present application obtained the relations between discharged capacities and the capacity shifts ΔQ in detail. Consequently, the applicant could obtain a knowledge that the relation between the discharged capacities and the capacity shifts ΔQ is one in which the capacity shifts ΔQ to the discharged capacities decreased almost linearly in the last stage of discharging as shown in FIG. 3 in the case where the load was fixed, even if the battery had any deteriorated state, any temperature, and any load. That is, the knowledge that the capacity shift ΔQ was expressed by a linear function (ΔQ=Qocv−Qmea=a·Qmea+b; a and b were severally a constant) of the discharged capacity Qmea was acquired. The fact can be considered that the concentration distribution of the chemical material in the inside of the battery produced by a discharge is reduced in the last stage of discharging.
Consequently, by sequentially measuring the capacity shifts ΔQ during discharging, and by calculating a linear reduction rate of the capacity shifts ΔQ to the discharged capacities in the last stage of discharging, the capacity shifts ΔQ in the future from that time point can be estimated easily, and consequently the apparent equilibrium voltages Vocv can be estimated. And a discharge curve in the future can be accurately estimated by subtracting the voltage drops ΔVdc by the direct current resistance Rdc from the estimated equilibrium voltages Vocv.
Thus, the present invention notes the phenomenon of the voltage drops ΔVdi by the diffusion which increases rapidly in the last stage of discharging from a completely new viewpoint of not regarding the phenomenon as the changes of the voltage direction, but of regarding the phenomenon as the changes of the capacity direction of the capacity shifts ΔQ. By estimating the capacity shifts ΔQ in the future, the present invention makes it possible to estimate an accurate discharge curve in a last stage of discharging, which has been impossible by the conventional methods, and especially makes it possible to accurately calculate the residual capacities in the last stage of discharging.
Now, in the following, the battery capacity calculating method based on such a principle is described.
The battery capacity calculating method is realizable by an apparatus composed of at least a circuit for measuring the terminal voltages of a battery and the currents flowing in the battery, and a control circuit for calculating residual capacities, though they are not shown here.
In the battery capacity calculating method, a storage unit which stores various kinds of information is provided in the inside of the control circuit, and the equilibrium voltage curves used in order to calculate the residual capacities are previously stored in the storage unit. The equilibrium voltage curves may be calculated beforehand to be stored in the storage unit, or may be expressed by functions using some approximation formulae to be stored in the storage unit. Furthermore, the equilibrium voltage curves may be stored in the storage unit as tables which match the discharged capacities and the equilibrium voltages.
Moreover, in the battery capacity calculating method, the direct current resistance Rdc of a battery is calculated in advance of the calculation of the residual capacities at the time of discharging, and the calculated direct current resistance Rdc is stored in the storage unit. The direct current resistance Rdc may be measured at the time of charging. In the case where the values measured at the time of charging are used, there is the case where the temperature at the time of charging and the temperature at the time of discharging differ from each other. Consequently, there is the possibility of the necessity of performing troublesome processing of performing a temperature correction. Accordingly, in the battery capacity calculating method, the direct current resistance Rdc is measured at the time of discharging. Of course, since temperature changes may arise during discharging in the battery capacity calculating method, the temperature compensation may be performed in consideration of the temperature changes. Incidentally, the direct current resistances Rdc can be easily calculated as Rdc=dVmea/dIas by measuring the changes dVmea and dI of a voltage and a current before and after a large load change by using a chance at which the large load change is generated, for example, at the time of power-on of the electronic apparatus connected to the battery, or at the time of the activation of an arbitrary application in the case where the electronic apparatus is a personal computer or the like.
In such a battery capacity calculating method, when a battery is in a usage state, the terminal voltage Vmea and the current value I which is flowing in the battery are sequentially measured, and the present discharged capacity Qmea is calculated by performing the integration of the currents. Moreover, in the battery capacity calculating method, the voltage drops ΔVdc (=I·Rdc) and the apparent equilibrium voltages Vocv (=Vmea+ΔVdc=Vmea+I·Rdc) are calculated using the direct current resistance Rdc stored in the storage unit, and further the apparent discharged capacities Qocv are calculated using the equilibrium voltage curve stored in the storage unit to obtain the above-mentioned capacity shifts ΔQ (=Qocv−Qmea). And in the battery capacity calculating method, the present discharged capacity Qmea and the capacity shift ΔQ are matched to be stored in the storage unit, and the reduction rate dQ of the capacity shift ΔQ is calculated based on the discharged capacities Qmea and the capacity shifts ΔQ of the past several times.
Here, since the residual capacity calculation using the linearity of the reduction rate of the capacity shifts ΔQ previously shown in FIG. 3 catches the feature near the last stage of discharging, the method cannot be used except for the last stage of discharging. Accordingly, in the battery capacity calculating method, it is necessary to judge whether the present state is one close to the last stage of discharging or not during discharging, and to change the contents of processing according to the judgment.
Then, in the battery capacity calculating method, it is judged whether a battery is in a state close to the last stage of discharging or not by comparing an apparent equilibrium voltage Vocv with a predetermined threshold value. The apparent equilibrium voltage Vocv is obtained by adding a voltage drop Δdc which is expressed by a product of the direct resistance Rdc and the current value I to the terminal voltage Vmea of the battery. This method is based on the fact that the applicant of the present application acquired the knowledge by experiments that the linear decrease of the capacity shifts ΔQ shown in FIG. 3 occurred when the apparent equilibrium voltages Vocv were the voltages near an inflection point at which the inclination of the equilibrium voltage curve changed rapidly, as shown in a dotted circle line part in FIG. 4. Of course, in the battery capacity calculating method, the judgment of whether the battery is in the state near the last stage of discharging or not may be performed based on a discharged capacity Qmea, a measured terminal voltage Vmea or a combination of them. Moreover, the state in which the reduction rates of the capacity shifts ΔQ become linear may be judged by detecting the state in which the values obtained by differentiating the obtained capacity shifts ΔQ by the discharged capacities Qmea become constant. In any case using either of the methods, in the battery capacity calculating method, there is no change in judging whether the state of a battery is one close to the last stage of discharging or not is judged using the linearity of the reduction rates of capacity shifts ΔQ.
In the battery capacity calculating method, in the case where it is judged that the state of a battery is not in the last stage of discharging, as shown in FIG. 5, the present equilibrium voltage Vequ is obtained from the present discharged capacity Qmea, and the voltage drop ΔV at that time is calculated. For example, by subtracting the voltage drops ΔV from the equilibrium voltage curve Cequ, a discharge curve Cpre in the future is estimated. And in the battery capacity calculating method, the difference between a discharged capacity Qcut until the estimated discharge curve Cpre becomes less than the discharge stopping voltage Vcut and the present discharged capacity Qmea is calculated as a residual capacity Qr, and a value shown in an oblique line part in the same figure which value is obtained by integrating the voltages estimated by then is calculated as residual power Wr.
Incidentally, since the voltage drop ΔV is changed whenever a load changes in calculating residual capacity by such a method, the residual capacity changes. In order to avoid such changes, the discharge curve Cpre in the future may be estimated using the maximum voltage drop ΔVmax corresponding to the maximum load by the present in the battery capacity calculating method. Moreover, in the case where a constant power discharge is assumed in the battery capacity calculating method, the current increases because the voltage are falling as performing discharging, and consequently the voltage drop becomes large. Then, the voltage drop ΔV in the future may be calculated in consideration of the increase of the voltage drop. Furthermore, in the case where an almost full discharge could be performed in the past, a calculated residual capacity may be corrected using the capacity and the power which have actually discharged at that time in the battery capacity calculating method.
On the other hand, in the battery capacity calculating method, when a battery is judged to be one in a state near the last stage of discharging, as shown in FIG. 6, based on the present capacity shift ΔQmea and the reduction rate dQ of a capacity shift, namely using the feature of capacity shift ΔQ to be expressed by a linear function of the discharged capacity Qmea (ΔQ=Qocv−Qmea=a−Qmea+b; a and b are severally a constant), apparent equilibrium voltages in the future shown by the black dots in the same figure are estimated, and by subtracting the voltage drops ΔVdc by the direct current resistance Rdc from the apparent equilibrium voltages, a discharge curve Cpre in the future is estimated. And in the battery capacity calculating method, the residual capacities Qr and the residual power Wr are calculated almost like the above-mentioned case where it is judged that the battery is not in the sate of the last stage of discharging. At this time, in the battery capacity calculating method, as for the future current values I, the present current value and the maximum current value by the present may be assumed to be fixed in the future, or the present power and the present maximum power may be assumed to be fixed in the future for taking into consideration the changes of the current values.
Incidentally, in the battery capacity calculating method, as described above, it is necessary to obtain an equilibrium voltage curve in advance of the calculation of a residual capacity. Since the equilibrium voltage curve usually changes as the battery becomes deteriorated, it is necessary not to obtain the equilibrium voltage curve of an initial battery which has not deteriorated, but to obtain the equilibrium voltage curve of the deteriorated battery in the present state. Here, it is noted that the shapes of the equilibrium voltage curves of an initial battery and a deteriorated battery become almost similar figures, for example, as shown in FIG. 7. Incidentally, in the same figure, a curve Cequn shows an equilibrium voltage curve in an initial battery which has not deteriorated, and a curve Cequo shows an equilibrium voltage curve in a deteriorated battery which has deteriorated by use. That is, the equilibrium voltage curve Cequo of the deteriorated battery presents a form shrunk into one direction, maintaining the form of the equilibrium voltage curve Cequn of the initial battery.
Accordingly, in the battery capacity calculating method, based on the fact that the equilibrium voltage curves Cequn and Cequo become almost similar figures to each other, the equilibrium voltage curve Cequn is previously grasped, and the equilibrium voltages of the deteriorated battery at least at two points and the capacity between the equilibrium voltages are obtained. Thereby, a shrinkage ratio S in the capacity direction of the equilibrium voltage curve, namely “the fully charged capacity of a deteriorated battery/the fully charged capacity of an initial battery”, can be calculated. For example, in the battery capacity calculating method, as shown in the same figure, if the equilibrium voltages of the obtained two points in the deteriorated battery are denoted by V1 and V2 and the discharged capacities corresponding to these equilibrium voltages V1 and V2 are denoted by Q1 and Q2 (Q2>Q1), respectively, the shrinkage ratio S can be calculated as (Q2−Q1)/(Qini2−Qini1) by obtaining discharged capacities Qini1 and Qini2 at the time when the equilibrium voltages on the equilibrium voltage curve Cequn are V1 and V2. In the battery capacity calculating method, based on the shrinkage ratio S, the equilibrium voltage curve Cequo of a deteriorated battery can be obtained to be stored in the storage unit.
Moreover, in the battery capacity calculating method, as a method for obtaining an equilibrium voltage, the following methods can be also used: a method for obtaining the equilibrium voltage based on a voltage in a pause state in which a user of the battery performs neither charging nor discharging, a method for compulsorily stopping charging to estimate an equilibrium voltage from the voltage changes after that, and the like. It is desirable to increase an opportunity of obtaining the equilibrium voltage by using these both methods together in the battery capacity calculating method, especially.
Incidentally, when charging is stopped compulsorily, for example, as shown in FIG. 8, the square roots of the absolute values of voltage change rates (dV/dt) decrease almost linearly to the logarithms of times from a charging stop. This knowledge was obtained by experiments by the applicant of the present application. Consequently, this method enables it to estimate equilibrium voltages based on the voltage changes in a short time after a charging stop.
However, because it is necessary to make the capacity between equilibrium voltages to be obtained at least at two points sufficiently large at the time of the calculation of the shrinkage ratio S, the sufficiently accurate calculation is difficult in the case where charging and discharging in a shallow depth of discharge are repeated. But, as described above, it has been ascertained by experiments that, in the battery capacity calculating method, by performing the residual capacity calculation utilizing the reduction rate of the capacity shifts ΔQ, the residual capacities in the last stage of discharging can be calculated with a sufficient accuracy even in such a case.
Now, in the following, descriptions are given to a concrete battery capacity calculating apparatus for calculating the residual capacities of a battery as a power supply of a predetermined electronic apparatus by applying such a battery capacity calculating method thereto. Incidentally, in the following, for the convenience of description, the descriptions are given to a battery capacity calculating apparatus which calculates residual capacities of a lithium ion secondary battery having the following features. That is, the fully charged voltage thereof is 4.2 V, the discharge stopping voltage thereof is 3.0 V, the nominal capacity thereof is 1800 mAh, the diameter thereof is 18 mm and the length thereof is 65 mm. Moreover, in the following, the descriptions are performed on the supposition such that the current values at the time of discharging are positive, and the current values at the time of charging are negative.
As described above, the battery capacity calculating apparatus is composed of at least a circuit for measuring the terminal voltage of a battery and the current flowing in the battery, and a control circuit which calculates residual capacities. To put it concretely, for example, as shown in FIG. 9, a battery capacity calculating apparatus 10 is equipped with a voltage measuring circuit 11 measuring a terminal voltage of a battery 1 as a power supply of an electronic apparatus 20, a current measuring circuit 12 measuring the current flowing in the battery 1, a control circuit 13 calculating residual capacities and/or residual power, and a switch 14 switching the stop or the start of charging to the battery 1.
Incidentally, the battery capacity calculating apparatus 10 consisting of each of these units may be constituted as the so-called battery pack independently of the electronic apparatus 20 using the battery 1, or may be installed in the electronic apparatus 20 including the battery 1. Furthermore, as for the battery capacity calculating apparatus 10, only the battery 1 may be configured independently of the electronic apparatus 20.
The voltage measuring circuit 11 measures the terminal voltage of the battery 1. The voltage measuring circuit 11 converts the obtained terminal voltage being an analog value into a digital value using an analog to digital (A/D) converter, which is not shown, and the voltage measuring circuit 11 supplies the converted digital value to the control circuit 13.
The current measuring circuit 12 measures the current flowing in the battery 1 by measuring the voltage between both the ends of the resistance 2 of, for example, 20 mΩ, which is connected in series to the battery 1. The current measuring circuit 12 converts the voltage between the both ends of the resistance 2 being an analog value into a digital value using, for example, an A/D converter, which is not shown, and the current measuring circuit 12 supplies the converted digital value to the control circuit 13.
The control circuit 13 includes an operation unit 15 such as a microprocessor, which performs various operations, a storage unit 16 storing various kinds of information rewritably, and a communication unit 17 performing the giving and the receiving of various kinds of information with the electronic apparatus 20.
The control circuit 13 previously stores the equilibrium voltage curves of the battery 1 as an object the residual capacities of which are calculated in the storage unit 16. As mentioned above, the equilibrium voltage curves may be calculated beforehand to be stored in the storage unit 16, or may be expressed as functions using some approximation formulae to be stored in the storage unit 16. Furthermore, the equilibrium voltage curves may be stored in the storage unit 16 as tables in which discharged capacities and equilibrium voltages are matched. Incidentally, the equilibrium voltage curves are set to be calculated in advance to be stored in the storage unit 16 here.
To put it concretely, in the battery capacity calculating apparatus 10, the battery 1 is placed in a predetermined charging and discharging device, and is charged up to 4.2 V by performing constant current charging, for example, by a charging current of 1 A. After that, by performing constant voltage charging by a voltage of 4.2 V for 3 hours, the battery 1 is charged to a fully charged voltage. And in the battery capacity calculating apparatus 10, discharging is performed by a predetermined discharged capacity in a condition such as discharging a current of 1 A for 10 minutes, and after that the terminal of the battery 1 is opened. Then, the battery 1 is left as it is until the terminal voltage is stabilized to obtain an equilibrium voltage. In the battery capacity calculating apparatus 10, by repeatedly performing such a measurement until the terminal voltage turns into a predetermined discharging stopping voltage, i.e. 3.0 V, an equilibrium voltage curve is obtained. Incidentally, the time until the terminal voltage is stabilized is required to be at least 30 minutes or more.
The control circuit 13 stores in advance the equilibrium voltage curve obtained in such a way in the storage unit 16. And the control circuit 13 calculates the residual capacity and/or the residual power of the battery 1 with the operation unit 15 based on the voltage supplied from the voltage measuring circuit 11 and the current value calculated from the voltage supplied from the current measuring circuit 12. The control circuit 13 transmits the residual capacity and/or the residual power which have been calculated to the electronic apparatus 20 through the communication unit 17. The control circuit 13 may also detects the deteriorated state of the battery I at this time to transmit the information to the electronic apparatus 20 through the communication unit 17.
The switch 14 is provided for stopping or starting charging based on the control signal supplied from the control circuit 13, and creates a pause state compulsorily during charging.
Such a battery capacity calculating apparatus 10 calculates the residual capacity and/or the residual power of the battery 1 by passing through a series of steps as shown in FIG. 10. Incidentally, the processing of Step S1 to Step S4 in the same figure is repeatedly performed at a fixed period Δt of, for example, 1 second, or is performed irregularly. Here, the processing of Step S1 to Step S4 is set to be performed repeatedly at a fixed period Δt.
First, as shown in the same figure, the battery capacity calculating apparatus 10 measures a terminal voltage Vmea with the voltage measuring circuit 11, and measures a current value I with the current measuring circuit 12 at Step S1. Then, the battery capacity calculating apparatus 10 acquires the terminal voltage Vmea and the current value I with the control circuit 13.
Successively, at Step S2, with the operation unit 15 in the control circuit 13, the battery capacity calculating apparatus 10 performs capacity integration, and calculates the present discharged capacity Qmea (=Qold−I×Δt). Here, the reference mark Qold denotes the discharged capacity calculated at the last time.
Successively, at Step S3, the battery capacity calculating apparatus 10 judges whether charging is being performed or not based on the current value I by the operation part with the operation unit 15 in the control circuit 13. When the battery capacity calculating apparatus 10 judges that the current value I is negative, the battery capacity calculating apparatus 10 judged that charging is being performed, and shifts the processing thereof to the charging processing step at Step S5.
On the other hand, when the battery capacity calculating apparatus 10 judges that the current value I is not negative, the battery capacity calculating apparatus 10 shifts the processing thereof to Step S4, and judges whether discharging is being performed or not based on the current value I with the operation unit 15 in the control circuit 13. When the battery capacity calculating apparatus 10 judges that the current value I is positive, the battery capacity calculating apparatus 10 judges that discharging is being performed, and shifts the processing thereof to the discharging processing step at Step S6. When the battery capacity calculating apparatus 10 judges that the current value I is not positive, that is, the battery capacity calculating apparatus 10 judges that the current value I is neither positive nor negative, but is “0”, the battery capacity calculating apparatus 10 shifts the processing thereof to the pause processing step at Step S7.
And the battery capacity calculating apparatus 10 repeats the processing from Step S1 again, after ending any one of the charging processing step at Step S5, the discharging processing step at Step S6 and the pause processing step at Step S7. The battery capacity calculating apparatus 10 can calculate the residual capacity and/or the residual power of the battery 1 during discharge by repeatedly carrying out such a series of steps.
In the following, each of the charging processing step at Step S5, the discharging processing step at Step S6, and the pause processing step at Step S7 is described in detail.
First, the charging processing step at Step S5 is described.
When the processing of the battery capacity calculating apparatus 10 has shifted to the charging processing step, as shown in FIG. 11, at Step S11, the battery capacity calculating apparatus 10 judges whether or not the charged capacity is a predetermined value or more with the operation unit 15 in the control circuit 13. For example, the battery capacity calculating apparatus 10 judges whether 500 mAh or more of charged capacity has been charged from a charging start or from the forced termination of charging.
Here, when the battery capacity calculating apparatus 10 has judged that the charged capacity is not equal to or more than the predetermined value, the battery capacity calculating apparatus 10 ends the series of charging processing steps as it is, and the battery capacity calculating apparatus 10 shifts the processing thereof to Step S1 in FIG. 10.
On the other hand, when the battery capacity calculating apparatus 10 has judged that the charged capacity is equal to the predetermined value or more, the battery capacity calculating apparatus 10 supplies a control signal from the control circuit 13 to the switch 14 to stop charging compulsorily at Step S12 in FIG. 11, and then the battery capacity calculating apparatus 10 ends the series of charging processing steps to shift the processing thereof to Step S1 in FIG. 10.
By passing through such a charging processing step, the battery capacity calculating apparatus 10 can produce a pause state compulsorily during charging, and it becomes possible to estimate the equilibrium voltage using the pause state as described above.
Next, the discharging processing step at Step S6 is described.
When the battery capacity calculating apparatus 10 has shifted to the discharging processing step, as shown in FIG. 12, at Step S21, the battery capacity calculating apparatus 10 judges whether the state is one immediately after the start of discharging or not with the operation unit 15 in the control circuit 13.
Here, when the battery capacity calculating apparatus 10 has judged that the sate is not the one immediately after the start of discharging, the battery capacity calculating apparatus 10 shifts the processing thereof to Step S23. On the other hand, when the battery capacity calculating apparatus 10 has judged that the sate is one immediately after the start of discharging, at Step S22, the battery capacity calculating apparatus 10 calculates the direct current resistance Rdc (=dVmea/dI=(Vb−Va)/ΔI) with the operation unit 15 in the control circuit 13 using the terminal voltage Vb just before the start of discharging and the terminal voltage Va immediately after the start of discharging, both measured with the voltage measuring circuit 11, and the current value change ΔI at that time based on the current value I measured with the current measuring circuit 12. Incidentally, at this time, the battery capacity calculating apparatus 10 may calculate the direct current resistance Rdc using an average voltage and an average current value calculated during a period of, for example, 5 seconds after the start of discharging. When the battery capacity calculating apparatus 10 has calculated the direct current resistance Rdc, the battery capacity calculating apparatus 10 shifts the processing thereof to Step S23.
Successively, at Step S23, the battery capacity calculating apparatus 10 calculates the apparent equilibrium voltage Vocv (=Vmea+ΔVdc=Vmea+I·Rdc) by adding the product of the direct current resistance Rdc and the current value I to the terminal voltage Vmea with the operation unit 15 in the control circuit 13.
Successively, the battery capacity calculating apparatus 10 refers to the equilibrium voltage curve Cequ stored in the storage unit 16 with the operation unit 15 in the control circuit 13 at Step S24, and calculates the apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv. Furthermore, the battery capacity calculating apparatus 10 calculates the capacity shift ΔQ (=Qocv−Qmea) which is the difference between the present discharged capacity Qmea obtained at Step S2 in FIG. 10 and the apparent discharged capacity Qocv, and the battery capacity calculating apparatus 10 matches the present discharged capacity Qmea and the capacity shift ΔQ to store them in the storage unit 16. Incidentally, in order to reduce the storage capacity of the storage unit 16, it is not necessary for the battery capacity calculating apparatus 10 to perform Step S24 whenever the battery capacity calculating apparatus 10 measures a voltage and a current, Step S24 may be executed only when the discharged capacity has increased to 10 or more mAhs, for example.
Successively, at Step S25 in FIG. 12, the battery capacity calculating apparatus 10 reads the discharged capacity Qmea and the capacity shift ΔQ, which have been stored in the storage unit 16 in the control circuit 13, with the operation unit 15 by the amount of the past 50 mAh of discharged capacity, for example. And, for example, the battery capacity calculating apparatus 10 performs regression analysis based on a plurality of discharged capacities Qmea and the capacity shifts ΔQ, the battery capacity calculating apparatus 10 calculates the reduction rates dQ of the capacity shifts to the discharged capacities, and stores the calculated reduction rates dQ in the storage unit 16.
Then the battery capacity calculating apparatus 10 judges whether the state is close to one in the last stage of discharging or not with the operation unit 15 in the control circuit 13 at Step S26. In this case the battery capacity calculating apparatus 10 can judge whether the state is one close to the last stage of discharging or not using various methods as mentioned above. Here, it is supposed that the battery capacity calculating apparatus 10 judges whether the state is the one close to the last stage of discharging or not by comparing the apparent equilibrium voltage Vocv with the threshold value of 3.6 V, for example.
When the battery capacity calculating apparatus 10 has judged that the apparent equilibrium voltage Vocv is larger than the threshold value, the battery capacity calculating apparatus 10 judges that the state is not the one in the last stage of discharging, and shifts the processing thereof to the first residual capacity calculating step at Step S27. On the other hand, when the battery capacity calculating apparatus 10 has judged that the apparent equilibrium voltage Vocv is equal to the threshold value or less, the battery capacity calculating apparatus 10 judges that the state is one near the last stage of discharging, and shifts the processing thereof to the second residual capacity calculating step at Step S28.
Here, the first residual capacity calculating step at Step S27 and the second residual capacity calculating step at Step S28 are described.
First, the first residual capacity calculating step is described.
When the battery capacity calculating apparatus 10 has shifted to the first residual capacity calculating step, as shown in FIG. 13, at Step S31, the battery capacity calculating apparatus 10 referrers to the equilibrium voltage curve Cequ stored in the storage unit 16 with the operation unit 15 in the control circuit 13, and calculates the equilibrium voltage Vequ corresponding to the present discharged capacity Qmea. Furthermore, the battery capacity calculating apparatus 10 calculates the voltage drop ΔV (=Vequ−Vmea), which is the difference of the calculated equilibrium voltage Vequ and the present terminal voltage Vmea.
Successively, the battery capacity calculating apparatus 10 resets and initializes various parameters at Step S32. To put it concretely, the battery capacity calculating apparatus 10 sets the residual capacity Qr and the residual power Wr to “0”, and sets the present discharged capacity Qmea as a calculated capacity Qc.
Successively, at Step S33, the battery capacity calculating apparatus 10 adds a predetermined quantity, e.g. 1 mAh, of the capacity bit ΔQc to the calculated capacity Qc with the operation unit 15 in the control circuit 13, and updates the calculated capacity Qc.
Successively, the battery capacity calculating apparatus 10 refers to the equilibrium voltage curve Cequ stored in the storage unit 16 with the operation unit 15 in the control circuit 13 at Step S34 to calculate the equilibrium voltage Vequ corresponding to the calculated capacity Qc updated at Step S33. Then, the battery capacity calculating apparatus 10 calculates the estimated voltage Vpre (=Vequ−ΔV) by subtracting the voltage drop ΔV calculated at Step S31 from the calculated equilibrium voltage Vequ. Thereby, the battery capacity calculating apparatus 10 can estimate the discharge curve Cpre in the future.
And the battery capacity calculating apparatus 10 judges whether the estimated voltage Vpre is larger than the discharge stopping voltage Vcut or not by comparing the estimated voltage Vpre with the discharge stopping voltage Vcut (=3.0 V) with the operation unit 15 in the control circuit 13 at Step S35.
Here, when the battery capacity calculating apparatus 10 has judged that the estimated voltage Vpre is larger than the discharge stopping voltage Vcut, the battery capacity calculating apparatus 10 shifts the processing thereof to Step S36. Then, the battery capacity calculating apparatus 10 adds the capacity bit ΔQc to the residual capacity Qr until that time with the operation unit 15 in the control circuit 13, and adds the product of the capacity bit ΔQc and the equilibrium voltage Vequ to the residual power Wr until that time. Then, the battery capacity calculating apparatus 10 repeats the processing from Step S33.
On the other hand, when the battery capacity calculating apparatus 10 has judged that the estimated voltage Vpre is equal to the discharge stopping voltage Vcut or less, the battery capacity calculating apparatus 10 outputs the residual capacities Qr and the residual power Wr until that time, and stores them in the storage unit 16 in the control circuit 13 at Step S37. Moreover, as the need arises, the battery capacity calculating apparatus 10 transmits the residual capacities Qr and the residual power Wr to the electronic apparatus 20 through the communication unit 17, and then the battery capacity calculating apparatus 10 ends the series of the first residual capacity calculating step.
As described above, when the battery capacity calculating apparatus 10 has judged that the state is not one in the last stage of discharging, the battery capacity calculating apparatus 10 calculates the voltage drop ΔV, which is the difference between the present equilibrium voltage Vequ and the terminal voltage Vmea, and calculates the estimated voltage Vpre by subtracting the voltage drop ΔV from the equilibrium voltage Vequ. Thereby, the battery capacity calculating apparatus 10 can estimate the discharge curve Cpre in the future, and can calculate the residual capacity Qr and the residual power Wr. Incidentally, the battery capacity calculating apparatus 10 calculates the residual capacities Qr and the residual power Wr sequentially. The battery capacity calculating apparatus 10 may be set not to transmit the residual capacities Qr and the residual power Wr sequentially to the electronic apparatus 20, but to calculate the average value of the past several times with the operation unit 15 in the control unit 13, and to transmit the average value to the electronic apparatus 20 through the communication unit 17.
In the following, the second residual capacity calculating step is described.
When the battery capacity calculating apparatus 10 has shifted to the second residual capacity calculating step, as shown in FIG. 14, the battery capacity calculating apparatus 10 calculates the apparent equilibrium voltage Vocv (=Vmea+ΔVdc=Vmea+I·Rdc) in the present discharged capacity Qmea by adding the product of the direct current resistance Rdc and the current value I to the terminal voltage Vmea with the operation unit 15 in the control circuit 13 at Step S41.
Successively, the battery capacity calculating apparatus 10 referrers to the equilibrium voltage curve Cequ stored in the storage unit 16 by the operation unit 15 in the control circuit 13 to calculate the apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv at Step S42.
Successively, the battery capacity calculating apparatus 10 resets and initializes various parameters at Step S43. To put it concretely, the battery capacity calculating apparatus 10 sets the residual capacity Qr and the residual power Wr to “0”, and sets the present apparent discharged capacity Qocv as the calculated capacity Qc.
Successively, at Step S44, the battery capacity calculating apparatus 10 adds a predetermined quantity, e.g. 1 mAh, of the capacity bit ΔQc to the calculated capacity Qc with the operation unit 15 in the control circuit 13, and updates the calculated capacity Qc.
Successively, at Step S45, the battery capacity calculating apparatus 10 refers to the equilibrium voltage curve Cequ stored in the storage unit 16 by the operation unit 15 in the control circuit 13, and calculates the apparent equilibrium voltage Vocv corresponding to the calculated capacity Qc updated at Step S44. Furthermore, the battery capacity calculating apparatus 10 calculates the estimated voltage Vpre (=Vocv−Rdc×I) by subtracting the voltage drop by the direct current resistance Rdc from the calculated apparent equilibrium voltage Vocv. Thereby, the battery capacity calculating apparatus 10 can estimate the discharge curve Cpre in the last stage of discharging.
And the battery capacity calculating apparatus 10 judges whether the estimated voltage Vpre is larger than the discharge stopping voltage Vcut or not by comparing the estimated voltage Vpre with the discharge stopping voltage Vcut (=3.0 V) with the operation unit 15 in the control circuit 13 at Step S46.
Here, when the battery capacity calculating apparatus 10 has judged that the estimated voltage Vpre is larger than the discharge stopping voltage Vcut the battery capacity calculating apparatus 10 shifts the processing thereof to Step S47. The battery capacity calculating apparatus 10 adds ΔQc/(1−dQ) to the residual capacities Qr until that time with the operation unit 15 in the control circuit 13, and adds the product of ΔQc/(1−dQ) and the estimated voltage Vpre to the residual power Wr until that time. Then, the battery capacity calculating apparatus 10 repeats the processing from Step S44.
On the other hand, when the battery capacity calculating apparatus 10 has judged that the estimated voltage Vpre is equal to the discharge stopping voltage Vcut or less, at Step S48, the battery capacity calculating apparatus 10 outputs the residual capacities Qr and the residual power Wr until that time to store the outputted residual capacities Qr and the residual power Wr in the storage unit 16 in the control circuit 13. Moreover, as the need arises, the battery capacity calculating apparatus 10 transmits the residual capacities Qr and the residual power Wr to the electronic apparatus 20 through the communication unit 17, and the series of the second residual capacity calculating steps is ended.
As described above, when the battery capacity calculating apparatus 10 has judged that the state is one near the last stage of discharging, the battery capacity calculating apparatus 10 calculates the apparent equilibrium voltage Vocv at the present discharged capacity Qmea and the discharged capacity Qocv and calculates the estimated voltage Vpre by subtracting the voltage drop by the direct current resistance Rdc from the apparent equilibrium voltage Vocv. Thereby, the battery capacity calculating apparatus 10 can estimate the discharge curve Cpre in the future, and can calculate the residual capacity Qr and the residual power Wr based on the present capacity shift ΔQmea and the reduction rate dQ of a capacity shift. Incidentally, the battery capacity calculating apparatus 10 calculates the residual capacities Qr and the residual power Wr sequentially. But, the battery capacity calculating apparatus 10 may not sequentially transmit the residual capacities Qr and the residual power Wr to the electronic apparatus 20, but as described above, the battery capacity calculating apparatus 10 may calculate the average value of the past several times with the operation unit 15 in the control circuit 13, and may transmit the average value to the electronic apparatus 20 through the communication unit 17.
In the discharging processing step shown in FIG. 12, the battery capacity calculating apparatus 10 switches the first residual capacity calculating step and the second residual capacity calculating step to perform it according to the judgment of the state whether the state is one close to the last stage of discharging or not. After the battery capacity calculating apparatus 10 has passed through the first residual capacity calculating step in Steps S27, or the second residual capacity calculating step in Step S28, the battery capacity calculating apparatus 10 ends the series of the discharging processing steps, and shifts the processing thereof to Step S1 in FIG. 10.
The battery capacity calculating apparatus 10 can calculate the residual capacities Qr and the residual power Wr during discharging by passing through such a discharging processing step. In particular, the battery capacity calculating apparatus 10 can calculate the residual capacities Qr and the residual power Wr very accurately by shifting to the second residual capacity calculating step in the last stage of discharging.
The pause processing step in Step S7 is described finally.
When the battery capacity calculating apparatus 10 has shifted to the pause processing step, as shown in FIG. 15, at Step S51, the battery capacity calculating apparatus 10 judges whether the present state is a compulsory pause state being compulsorily stopped by the operation unit 15 in the control circuit 13, or whether the present state is a usual pause state.
Here, when the battery capacity calculating apparatus 10 has judged that the present state is a usual pause state, the battery capacity calculating apparatus 10 judges whether the terminal voltage Vmea is stabled by the operation unit 15 in the control circuit 13 or not at Step S52. To put it concretely, the battery capacity calculating apparatus 10 judges whether the terminal voltage Vmea is stabled or not based on whether or not the pause state is continuing more than a predetermined time, for example, for 30 minutes or more. When the battery capacity calculating apparatus 10 has judged that the terminal voltage Vmea is not stabled, the battery capacity calculating apparatus 10 ends the series of the pause processing steps as they are, and shifts the processing thereof to Step S1 in FIG. 10. On the other hand, when the battery capacity calculating apparatus 10 has judged that the terminal voltage Vmea is stabled, at Step S53 in FIG. 15, the battery capacity calculating apparatus 10 measures the terminal voltage Vmea at that time as the equilibrium voltage Vequ with the voltage measuring circuit 11, and the battery capacity calculating apparatus 10 matches the equilibrium voltage Vequ with the present discharged capacity Qmea to store them in the storage unit 16 in the control circuit 13. Then, the battery capacity calculating apparatus 10 shifts the processing thereof to Step S58.
On the other hand, when the battery capacity calculating apparatus 10 has judged that the present state is the compulsory pause state at Step S51, the battery capacity calculating apparatus 10 sequentially stores the terminal voltages Vmea measured by the voltage measuring circuit 11 in the storage unit 16 in the control circuit 13 at Step S54, and judges how long the time during which the compulsory pause state is continuing is with the operation unit 15 at Step S55.
Here, when the battery capacity calculating apparatus 10 has judged that the time during which the compulsory pause state is continuing is under a predetermined time t, e.g. for 1 minute, the battery capacity calculating apparatus 10 ends the series of the pause processing steps as they are, and shifts the processing thereof to Step S1 in FIG. 10. On the other hand, when the battery capacity calculating apparatus 10 has judged that the time during which the compulsory pause state is continuing is equal to the predetermined time t or more, the battery capacity calculating apparatus 10 estimates the equilibrium voltage Vequ based on time changes of the terminal voltage Vmea stored in the storage unit 16 in the control circuit 13, and matches the estimated equilibrium voltage Vequ with the discharged capacity Qmea at that time to store them in the storage unit 16 at Step S56.
And the battery capacity calculating apparatus 10 supplies a control signal from the control circuit 13 to the switch 14, and makes charging resume at Step S57.
Successively, the battery capacity calculating apparatus 10 judges how much the number of the equilibrium voltages Vequ stored in the storage unit 16 in the control circuit 13 is at Step S58.
Here, when the battery capacity calculating apparatus 10 has judged that the number of the equilibrium voltages Vequ is less than two, the battery capacity calculating apparatus 10 ends the series of the pause processing steps as they are, and shifts the processing thereof to Step S1 in FIG. 10. On the other hand, when the battery capacity calculating apparatus 10 has judged that the number of the equilibrium voltages Vequ is two or more, the battery capacity calculating apparatus 10 calculates the shrinkage ratio S in the equilibrium voltage curve Cequ at that time with the operation unit 15 in the control circuit 13, and the battery capacity calculating apparatus 10 ends the series of the pause processing steps to shift the processing thereof to Step S1 in FIG. 10. For example, if the equilibrium voltages currently wanted are V1 and V2 and the discharged capacities corresponding to these equilibrium voltages V1 and V2 are Q1 and Q2 (Q2>Q1) as previously shown in FIG. 7, the battery capacity calculating apparatus 10 refers to the equilibrium voltage curve of the initial battery stored in the storage unit 16 with the operation unit 15 in the control circuit 13 to obtain the discharged capacities Qini1 and Qini2 at the time when the equilibrium voltages are V1 and V2. Then, the battery capacity calculating apparatus 10 calculates the shrinkage ratio S as (Q2−Q1)/(Qini2−Qini1).
By passing through such a pause processing step, the battery capacity calculating apparatus 10 can obtain the equilibrium voltage Vequ, and using this, as mentioned above, the battery capacity calculating apparatus 10 can obtain the equilibrium voltage curve of the deteriorated battery in the present state accurately.
As described above, in the battery capacity calculating method shown as an embodiment of the present invention, by measuring the terminal voltages Vmea and the current values I during discharging, and by calculating the capacity shifts ΔQ, the discharge curve in the future including the last stage of discharging can be estimated during discharging, and the residual capacities and/or the residual power can be calculated. In particular, in the battery capacity calculating method, an accurate residual capacity in the last stage of discharging, which has not been able to calculate until the battery has almost completely discharged conventionally, can be estimated before the battery has fully discharged independently of environment conditions such as a temperature and the deteriorated state of the battery.
Consequently, by the battery capacity calculating method, the capacity of a battery can be used almost completely and the real use time of an electronic apparatus can be lengthened.
Moreover, by the battery capacity calculating method, a deterioration of a battery, which has conventionally caused by the impossibleness of a full use of the capacity of the deteriorated battery especially, can be reduced, and the life of the battery can be prolonged.
Furthermore, by the battery capacity calculating method, a battery can be made to discharge under its real use environment almost completely. Consequently, no matter how deteriorated a battery is, the accurate fully charged capacity thereof can be calculated by measuring the charged capacities thereof from the time point to the full charging thereof. Consequently, by the battery capacity calculating method, the deterioration degree of a battery can be accurately grasped and thereby it becomes possible to specify the exchange time of the battery accurately for a user of the battery.
Incidentally, the present invention is not limited to the embodiment mentioned above. For example, although the embodiment mentioned above took up and described the lithium ion secondary battery as an example of a battery, the present invention is applicable to arbitrary various secondary batteries.
Moreover, although the embodiment mentioned above describes as if there is one battery as an object for measurement by the battery capacity calculating apparatus 10, the present invention is applicable further to a plurality of batteries connected in series to each other, a plurality of batteries connected in parallel with each other, and a plurality of batteries connected in a form in which series connections and parallel connections are combined. In this case, although it is desirable to measure the terminal voltage and the current value of each battery, and to calculate the residual capacity of each battery in calculation of the residual capacity, the terminal voltage and the current value of the whole of the combined batteries may be measured to calculate the residual capacity of the whole of the combined batteries.
Furthermore, although in the embodiment mentioned above the battery capacity calculating apparatus 10 as a concrete apparatus to which the battery capacity calculating method is applied is described, the present invention can be realized also as a program which can be executed by the electronic apparatus when the electronic apparatus is a personal computer or the like. In this case, the program may be provided in the state where it is pre-installed in the electronic apparatus. For example, the program may be distributed in the state of being recorded on various recording media such as a compact disc-read only memory (CD-ROM), and may be distributed through a predetermined communication circuit.
As mentioned above, it is needless to say that the present invention can be changed suitably in the range which does not deviate from the sprit thereof.
As described above in detail, a battery capacity calculating method, a battery capacity calculating apparatus, and a battery capacity calculating program according to the present invention severally sequentially measure the terminal voltage Vmea and the current value I at the time of discharging, and calculate the discharged capacity Qmea and the apparent discharged capacity Qocv based on the terminal voltage Vmea and the current value I, and further estimate the discharge curve Cpre in the future including the last stage of discharging during the discharging based on the capacity shift ΔQ, which is the difference between the discharged capacity Qmea and the apparent discharged capacity ΔQocv. Thereby each of the battery capacity calculating method, the battery capacity calculating apparatus and the battery capacity calculating program can accurately obtain the residual capacity and/or the residual power, which cannot be calculated until the battery has almost completely discharged conventionally, during discharging in any environment conditions.
Consequently, since the battery capacity calculating method, the battery capacity calculating apparatus and the battery capacity calculating program according to the present invention can use up the capacity of a secondary battery almost completely, they can lengthen the real use time of an electronic apparatus which uses the secondary battery as its power supply, and can reduce the deterioration of the secondary battery to prolong the life thereof.
It should be understood that various changes and modifications to the presently preferred embodiments described herein will be apparent to those skilled in the art. Such changes and modifications can be made without departing from the spirit and scope of the present invention and without diminishing its intended advantages. It is therefore intended that such changes and modifications be covered by the appended claims.

## Claims

1. A battery capacity calculating method for calculating a residual capacity and/or residual power of a secondary battery, comprising:
calculating an equilibrium voltage curve Cequ showing a relation between a discharged capacity and an equilibrium voltage in said secondary battery;
measuring a terminal voltage Vmea and a current value I of said secondary battery at a time of discharging;
calculating a discharged capacity Qmea of said secondary battery based on the terminal voltage Vmea and the current value I;
calculating an apparent equilibrium voltage Vocv by adding a voltage drop ΔVdc by a direct current resistance Rdc to the terminal voltage Vmea;
calculating an apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv calculated based on the equilibrium voltage curve Cequ;
calculating a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv; and
estimating a discharge curve Cpre in a future based on the capacity shift ΔQ calculated at said capacity shift calculating step.

2. The battery capacity calculating method according to claim 1, wherein when a state of said battery is close to the last stage of discharging, a reduction rate dQ of a capacity shift to a discharged capacity is calculated based on the discharged capacity Qmea and the capacity shift ΔQ, and the discharge curve Cpre in the future is estimated based on the capacity shift ΔQ and the reduction rate dQ.

3. The battery capacity calculating method according to claim 2, wherein the capacity shift ΔQ is expressed by a linear function of the discharged capacity Qmea when the state of said battery is close to the last stage of discharging.

4. The battery capacity calculating method according to claim 1, wherein when a state of said battery is not in the last stage of discharging, the equilibrium voltage Vequ corresponding to the discharged capacity Qmea is calculated based on the equilibrium voltage curve Cequ, and the discharge curve Cpre in the future is estimated based on the voltage drop ΔV being the difference between the equilibrium voltage Vequ and the terminal voltage Vmea.

5. The battery capacity calculating method according to claim 4, wherein the discharge curve Cpre is estimated by subtracting the voltage drop ΔV from the equilibrium voltage curve Cequ.

6. The battery capacity calculating method according to claim 4, wherein the discharge curve Cpre is estimated using a maximum voltage drop ΔVmax corresponding to a maximum load by present in place of the voltage drop ΔV.

7. The battery capacity calculating method according to claim 1, further comprising calculating the residual capacity and/or the residual power of said secondary battery based on the discharge curve Cpre.

8. The battery capacity calculating method according to claim 1, further comprising performing a judgment whether a state of said battery is near the last stage of discharging or not based on the apparent equilibrium voltage Vocv to switch an estimating method of the discharge curve Cpre according to a judgment result.

9. The battery capacity calculating method according to claim 8, wherein the apparent equilibrium voltage Vocv is compared with a predetermined threshold value to perform the judgment whether the state of said battery is near the last stage of discharging or not.

10. The battery capacity calculating method according to claim 1, wherein the direct current resistance Rdc is calculated based on voltage changes according to current changes.

11. The battery capacity calculating method according to claim 1, wherein the direct current resistance Rdc is calculated based on an average voltage and an average current value.

12. The battery capacity calculating method according to claim 1, wherein the equilibrium voltage curve Cequ is calculated based on equilibrium voltages at least two points and a capacity between the equilibrium voltages.

13. The battery capacity calculating method according to claim 12, wherein a shrinkage ratio S expressed by a quotient obtained by dividing a fully charged capacity of the secondary battery by a fully charged capacity of an initial battery which is not deteriorated based on the equilibrium voltages at the at least two points and a capacity between the equilibrium voltages.

14. The battery capacity calculating method according to claim 1, wherein charging is compulsorily stopped and an equilibrium voltage is obtained based on a subsequent voltage change.

15. The battery capacity calculating method according to claim 1, wherein the calculated residual capacity and/or the calculated residual power are transmitted to an electronic apparatus using said secondary battery as its power supply.

16. A battery capacity calculating apparatus for calculating a residual capacity and/or residual power of a secondary battery, comprising:
voltage measuring means for measuring a terminal voltage Vmea of said secondary battery at a time of discharging;
current measuring means for measuring a current value I of said secondary battery at the time of discharging; and
operation processing means for calculating the residual capacity and/or the residual power of said secondary battery,
wherein said operation processing means calculates an equilibrium voltage curve Cequ showing a relation between a discharged capacity and an equilibrium voltage in said secondary battery, calculates a discharged capacity Qmea of said secondary battery based on the terminal voltage Vmea measured with said voltage measuring means and the current value I measured with said current measuring means, calculates an apparent equilibrium voltage Vocv by adding a voltage drop ΔVdc by a direct current resistance Rdc to the terminal voltage Vmea, calculates an apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv based on the equilibrium voltage curve Cequ, calculates a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv, and estimates a discharge curve Cpre in a future based on the capacity shift ΔQ.

17. The battery capacity calculating apparatus according to claim 16, wherein, when a state of said battery is close to the last stage of discharging, said operation processing means calculates a reduction rate dQ of a capacity shift to a discharged capacity based on the discharged capacity Qmea and the capacity shift ΔQ, and estimates the discharge curve Cpre in the future based on the capacity shift ΔQ and the reduction rate dQ.

18. The battery capacity calculating apparatus according to claim 17, wherein the capacity shift ΔQ is expressed by a linear function of the discharged capacity Qmea when the state of said battery is close to the last stage of discharging.

19. The battery capacity calculating apparatus according to claim 16, wherein, when a state of said battery is not in the last stage of discharging, said operation processing means calculates the equilibrium voltage Vequ corresponding to the discharged capacity Qmea based on the equilibrium voltage curve Cequ, and estimates the discharge curve Cpre in the future based on the voltage drop ΔV being the difference between the equilibrium voltage Vequ and the terminal voltage Vmea.

20. The battery capacity calculating apparatus according to claim 19, wherein said operation processing means estimates the discharge curve Cpre by subtracting the voltage drop ΔV from the equilibrium voltage curve Cequ.

21. The battery capacity calculating apparatus according to claim 19, wherein said operation processing means estimates the discharge curve Cpre using a maximum voltage drop ΔVmax corresponding to a maximum load by present in place of the voltage drop ΔV.

22. The battery capacity calculating apparatus according to claim 16, wherein said operation processing means calculates a residual capacity and/or the residual power of said secondary battery based on the estimated discharge curve Cpre.

23. The battery capacity calculating apparatus according to claim 16, wherein said operation processing means performs a judgment whether a state of said battery is near the last stage of discharging or not based on the apparent equilibrium voltage Vocv to switch an estimating method of the discharge curve Cpre according to a judgment result.

24. The battery capacity calculating apparatus according to claim 23, wherein said operation processing means compares the apparent equilibrium voltage Vocv with a predetermined threshold value to perform the judgment whether the state of said battery is near the last stage of discharging or not.

25. The battery capacity calculating apparatus according to claim 16, wherein said operation processing means calculates the direct current resistance Rdc based on voltage changes according to current changes.

26. The battery capacity calculating apparatus according to claim 16, wherein said operation processing means calculates the direct current resistance Rdc based on an average voltage and an average current value.

27. The battery capacity calculating apparatus according to claim 16, wherein said operation processing means calculates the equilibrium voltage curve Cequ based on equilibrium voltages at least two points and a capacity between the equilibrium voltages.

28. The battery capacity calculating apparatus according to claim 27, wherein said operation processing means calculates a shrinkage ratio S expressed by a quotient obtained by dividing a fully charged capacity of said secondary battery by a fully charged capacity of an initial battery which is not deteriorated based on the equilibrium voltages at the at least two points and a capacity between the equilibrium voltages.

29. The battery capacity calculating apparatus according to claim 16, wherein said operation processing means compulsorily stops charging and obtains an equilibrium voltage based on a subsequent voltage change.

30. The battery capacity calculating apparatus according to claim 16, further comprising transmitting means for transmitting the residual capacity and/or the residual power calculated by said operation processing means to an electronic apparatus using said secondary battery as its power supply.

31. A battery capacity calculating program capable of being executed by a computer for calculating a residual capacity and/or residual power of a secondary battery, comprising:
equilibrium voltage curve calculating processing for calculating an equilibrium voltage curve Cequ showing a relation between a discharged capacity and an equilibrium voltage of said secondary battery;
voltage current measuring processing for measuring a terminal voltage Vmea and a current value I of said secondary battery at a time of discharging;
discharged capacity calculating processing for calculating a discharged capacity Qmea of said secondary battery based on the terminal voltage Vmea and the current value I, both measured by said voltage current measuring processing;
apparent equilibrium voltage calculating processing for calculating an apparent equilibrium voltage Vocd by adding a voltage drop ΔVdc by a direct current resistance Rdc to the terminal voltage Vmea;
apparent discharged capacity calculating processing for calculating an apparent discharged capacity Qocv corresponding to the apparent equilibrium voltage Vocv calculated by said equilibrium voltage calculating processing based on said equilibrium voltage curve Cequ calculated by said equilibrium voltage curve calculating processing;
capacity shift calculating processing for calculating a capacity shift ΔQ being a difference between the discharged capacity Qmea and the apparent discharged capacity Qocv; and
estimating processing for estimating a discharge curve Cpre in a future based on the capacity shift ΔQ calculated by said capacity shift calculating processing.