Electric energy storage device

Provided is an electric energy storage device capable of improving a charging efficiency when electric power supplied with an input current having a current value repeatedly exhibiting peaks and valleys is to be storaged by using a secondary battery and an electric double-layer capacitor. The electric energy storage device includes: an electric double-layer capacitor; and a battery unit including at least one secondary battery, the battery unit being connected in parallel to the electric double-layer capacitor, in which: a ratio of an internal resistance of the electric double-layer capacitor to an internal resistance of the battery unit is determined according to parameters relating to the input current.

TECHNICAL FIELD

The present invention relates to an electric energy storage device obtained by combining an electric double-layer capacitor and a secondary battery.

BACKGROUND ART

In recent years, as part of energy-saving measures, an electric-generating system using natural energy such as, for example, wind power or wave power, has attracted attention. Moreover, there has been increasing development of recovery systems for regenerative power obtained by drive of a moving body such as an automobile, a train, or a construction machine. In order to effectively use electric energy obtained by the aforementioned systems, an electric energy storage device for storing the electric energy therein is required. For such a purpose, various types of electric energy storage devices using a secondary battery or an electric double-layer capacitor have been proposed. For example, in Patent Literature 1, an electric energy storage device in which an electric double-layer capacitor is connected in parallel to a lithium secondary battery is proposed.

Prior Art Document

Patent Document

Patent Literature 1: JP 2002-246071 A

DISCLOSURE OF THE INVENTION

Problems To Be Solved By The Invention

The electric power supplied from the electric-generating system using the natural energy, or from the recovery system for the regenerative power as described above, is not supplied stably over a long period of time, but may be input to the electric energy storage device with a current having a current value repeatedly exhibiting peaks and valleys. When the electric power supplied with the input current as described above is storaged in the electric energy storage device including the secondary battery, the supplied electric power may not be storaged sufficiently efficiently, particularly when a current having a large current value is input within a short period of time, because of a reaction speed of the secondary battery to the input current and other problems. On the other hand, the electric double-layer capacitor has a small internal resistance and high input/output characteristics compared with those of the secondary battery. Therefore, there is a possibility of improving charging efficiency of the whole electric energy storage device by connecting the electric double-layer capacitor in parallel to the secondary battery. Up to now, however, a combination of the electric double-layer capacitor and the secondary battery has not been fully examined in view of improvement of the charging efficiency.

Moreover, in the case where the electric power is to be storaged in the electric energy storage device including the electric double-layer capacitor, an electric double-layer capacitor module including a plurality of the electric double-layer capacitors connected in series may be used when a voltage which can be applied to the single electric double-layer capacitor is less than an output voltage required for the whole electric energy storage device. When the electric double-layer capacitor module as described above is used as a part of the electric energy storage device, it is generally necessary to perform control so that the respective voltages of the electric double-layer capacitors become equal to each other at the time of charge/discharge. Without such control, a fluctuation is generated between the voltages due to individual differences of the electric double-layer capacitors, a usage environment, and other factors. As a result, a high voltage is disadvantageously applied to a specific one of the electric double-layer capacitors compared with the voltage applied to the other electric double-layer capacitor(s). If a higher voltage exceeding an allowable value is applied to the electric double-layer capacitor, a problem of a reduced lifetime or the like is induced. Thus, an equalization circuit for equalizing the respective voltages of the electric double-layer capacitors is generally connected to the electric double-layer capacitor module. The equalization circuit as described above may be a cause of increasing fabrication cost of the electric energy storage device or a factor preventing the electric energy storage device from being reduced in size.

The present invention has been made in view of the aforementioned circumstances, and has an object to provide an electric energy storage device capable of improving charging efficiency when electric power supplied with an input current having a current value repeatedly exhibiting peaks and valleys is to be storaged by using a secondary battery and an electric double-layer capacitor.

Another object of the present invention is to provide an electric energy storage device which can eliminate need of an equalization circuit for equalizing voltages of a plurality of electric double-layer capacitors when electric power is to be storaged by using a secondary battery and the plurality of electric double-layer capacitors.

Means for Solving the Problems

In order to solve the above-mentioned problems, in an aspect of the present invention, there is provided an electric energy storage device charged with an input current having a current value repeatedly exhibiting peaks and valleys, including: an electric double-layer capacitor unit including at least one electric double-layer capacitor; and a battery unit including at least one secondary battery, the battery unit being connected in parallel to the electric double-layer capacitor unit, in which a ratio of an internal resistance of the electric double-layer capacitor unit to an internal resistance of the battery unit is determined according to parameters relating to the input current.

In the above-mentioned electric energy storage device, the parameters relating to the input current may include a parameter relating to a change in the input current with time.

Further, the parameter relating to the change in the input current with time may include a time period during which a current having a predetermined threshold value or larger flows over one cycle including the peak and the valley of the current value.

In addition, the parameter relating to the change in the input current with time may include a time period during which a current less than a predetermined threshold value flows over one cycle including the peak and the valley of the current value.

Also, in the above-mentioned electric energy storage device, the ratio of the internal resistances may be determined so that a value of a product of the ratio of the internal resistances and a ratio of a chargeable electric energy of the electric double-layer capacitor unit to a chargeable electric energy of the battery unit is to be a value according to the parameters relating to the input current.

In the above-mentioned case, the value of the product is preferably equal to or larger than 0.018 and equal to or smaller than 0.036. Further, the value of the product is more preferably equal to or larger than 0.025 and equal to or smaller than 0.030.

In another aspect of the present invention, there is provided an electric energy storage device charged with an input current having a current value repeatedly exhibiting peaks and valleys, including: an electric double-layer capacitor unit including at least one electric double-layer capacitor; and a battery unit including at least one secondary battery, the battery unit being connected in parallel to the electric double-layer capacitor unit, in which a value of a product of a ratio of an internal resistance of the electric double-layer capacitor unit to an internal resistance of the battery unit, and a ratio of a chargeable electric energy of the electric double-layer capacitor to a chargeable electric energy of the battery unit, is equal to or larger than 0.018 and equal to or smaller than 0.036. Further, the value of the product is more preferably equal to or larger than 0.025 and equal to or smaller than 0.030.

In still another aspect of the present invention, there is provided an electric energy storage device including: a plurality of electric double-layer capacitors connected in series to each other; and a plurality of battery units respectively connected in parallel to the plurality of electric double-layer capacitors, each of the plurality of battery units including at least one sealed secondary battery for reducing oxygen, generated at a positive electrode, at a negative electrode when the at least one sealed secondary battery is overcharged, in which a rated voltage of each of the plurality of electric double-layer capacitors is equal to or higher than a voltage obtained when a corresponding one of the plurality of battery units, which is connected in parallel to the each electric double-layer capacitor, is overcharged.

In the above-mentioned electric energy storage device, each of the plurality of battery units is constituted by connecting a plurality of the secondary batteries in series.

Also, in the above-mentioned electric energy storage device, the secondary battery may be any one of a nickel-metal hydride battery, a nickel-cadmium battery, and a valve-regulated lead-acid battery.

BEST MODE FOR CARRYING OUT THE INVENTION

Hereinafter, embodiments of the present invention are described referring to the drawings.

First Embodiment

FIG. 1is a circuit diagram illustrating a circuit configuration of an electric energy storage device1according to a first embodiment of the present invention. The electric energy storage device1according to this embodiment is a device for accumulating externally supplied electric energy such as, for example, electric power obtained by wind power generation or the like, or regenerative electric power obtained by drive of an automobile or the like, in an electric double-layer capacitor and a secondary battery.

The electric energy storage device1includes, as illustrated inFIG. 1, an electric double-layer capacitor module3including a plurality of electric double-layer capacitors2, and battery units4which are the same in number as the electric double-layer capacitors2. Each of the battery units4includes one or a plurality of secondary batteries5. By using the electric double-layer capacitors2and the secondary batteries5at the same time in this manner, a high output-performance characteristic of the electric double-layer capacitors2compared with that of the secondary batteries5, and a high energy-density characteristic of the secondary batteries5compared with that of the electric double-layer capacitors2, can be used complementarily.

As illustrated inFIG. 1, the electric double-layer capacitor module3includes the plurality of electric double-layer capacitors2connected in series. Each of the electric double-layer capacitors2included in the electric double-layer capacitor module3has the same structure.

FIG. 2is a perspective view illustrating an example of external appearance of each of the electric double-layer capacitors2.FIG. 3is a sectional view illustrating an example of an internal structure of each of the electric double-layer capacitors2. As illustrated in the aforementioned figures, each of the electric double-layer capacitors2includes at least one pair of a positive electrode11and a negative electrode12, a separator13provided between the electrodes so that the electrodes are not brought into contact with each other, an organic electrolyte14impregnating each of the electrodes and the separator13, and a case15.

Each of the positive electrode11and the negative electrode12is a polarizable electrode, and is formed of, for example, a metal collector foil. Further, a layer made of a composition containing an electrode active material which is a high surface area material such as activated carbon, a conductive material, and a binder is formed for at least one of the positive electrode11and the negative electrode12. Specifically, the composition layer is formed, for example, by applying a slurry of the composition onto one or both of surfaces of the collector foil, drying, and then rolling the slurry of the composition.

The separator13is a sheet-like member which is larger than an area where the positive electrode11and the negative electrode12overlap, and is formed of an insulating material such as, for example, glass fiber, polyolefin, polyamide-imide, polyester, a fluororesin, and a cellulosic material. The positive electrode11and the negative electrode12are separated from each other by the separator13so as not to be brought into electrical contact with each other.

The organic electrolyte14is a composition containing a non-aqueous organic solvent and an electrolyte. The electrolyte may be, for example, a salt composed of quaternary onium cations such as quaternary ammonium cations or quaternary phosphonium cations and anions such as BF4−, PF6−, ClO4−, CF3SO3−, (CF3SO2)2N−, or CF3CO2−. When the electrolyte is an ionic liquid, the organic electrolyte14may be an electrolyte consisting of the ionic liquid alone. By impregnating the positive electrode11and the negative electrode12with the organic electrolyte14, electric charges are charged on surfaces of the positive electrode11and the negative electrode12according to the external application of a voltage so that each of the electric double-layer capacitors2functions as an electricity storage device.

The case15is a container for housing the positive electrode11, the negative electrode12, the separator13, and the organic electrolyte14therein, and has a shape such as, for example, a flat plate-like shape, a rectangular parallelepiped shape, or a cylindrical shape. A positive electrode terminal and a negative electrode terminal are provided on an outer surface of the case15. The positive electrode terminal is electrically connected to the positive electrode11inside the case15, whereas the negative electrode terminal is electrically connected to the negative electrode12inside the case15. The electric double-layer capacitor2is electrically connected to other components constituting the electric energy storage device1through intermediation of each of the electrode terminals.

In the example illustrated inFIG. 2, the case15has an approximately rectangular shape viewed from the side, and includes a pair of metal bodies15aand15band an insulator15c. One of the pair of metal bodies (supposing the metal body15ain this case) functions as the positive electrode terminal, whereas the other one (supposing the metal body15bin this case) functions as the negative electrode terminal. In this example, a surface of the metal body15aon the inner side of the case15is connected to the positive electrode11, whereas a surface of the metal body15bon the inner side of the case15is connected to the negative electrode12. Moreover, with the insulator15c, the metal bodies15aand15bare arranged so as not to be brought into direct contact with each other. As a result, an electrode terminal projecting from the case15is not required to be additionally provided. Therefore, space for the whole electric energy storage device1can be saved. An exhaust hole16for exhausting a gas when an internal pressure of the case15is increased is provided on the case15.

Each of the battery units4includes one or a plurality of the secondary batteries5. As illustrated inFIG. 1, the battery units4are connected in parallel to the plurality of electric double-layer capacitors2, respectively. Specifically, a plurality of sets, each including the electric double-layer capacitor2and the battery unit4which are connected in parallel to each other, are connected in series.

FIG. 4is a perspective view illustrating an example of external appearance of the battery unit4. Here, the battery unit4includes two secondary batteries5connected in series to each other. Each of the secondary batteries5has a cylindrical shape and is of the same type.FIG. 5Ais an exploded perspective view for illustrating a structure of the battery unit4illustrated inFIG. 4. As illustrated in the figure, the battery unit4is formed by welding the two secondary batteries5to a single metal plate5a. In this case, the battery unit4is fabricated by welding the positive electrode of one of the secondary batteries5and the negative electrode of the other secondary battery5respectively to two ends of one of surfaces of the band-like metal plate5aand then bending the metal plate5a. As a result, the two secondary batteries5are electrically connected in series to each other and are physically vertically arranged. However, a method of connecting the secondary batteries5is not limited thereto. For example, as illustrated inFIG. 5B, a metal material5bin a cylindrical shape having an inner diameter according to a diameter of each of the secondary batteries5, which is provided with a plurality of portions projecting from a circumferential end on one side toward the inner side of the cylinder, may be used for connecting the two secondary batteries5. By connecting the two secondary batteries5through intermediation of the metal material5bas described above, electric resistance between the two secondary batteries5can be reduced.

A specific example of the physical arrangement of the electric double-layer capacitors2and the battery units4in the case where the electric double-layer capacitors2exemplified inFIG. 2and the battery units4exemplified inFIG. 4are used is now described.FIG. 6is a perspective view illustrating an example of the arrangement of the electric double-layer capacitors2and the battery units4inside the electric energy storage device1. In the example illustrated in this figure, the electric energy storage device1includes five electric double-layer capacitors2and five battery units4, each battery unit including two secondary batteries5.

As illustrated inFIG. 6, an edge portion of each of the plurality of electric double-layer capacitors2is welded so that the metal body15awhich constitutes a part of the case15is connected to the metal body15bof the electric double-layer capacitor2adjacent thereto. The edge portion is also welded so that the metal body15bis connected to the metal body15aof the electric double-layer capacitor2adjacent thereto on the opposite side. As described above, the metal bodies15aand15bof each of the electric double-layer capacitors2function as the positive electrode terminal and the negative electrode terminal, respectively. Therefore, by arranging the plurality of electric double-layer capacitors2so as to be in contact with each other, the positive electrode of each of the electric double-layer capacitors2is electrically connected to the negative electrode of the electric double-layer capacitor2adjacent thereto. As a result, the plurality of electric double-layer capacitors2are connected in series to each other.

Further, the battery unit4to be connected in parallel to each electric double-layer capacitor2is arranged so as to be adjacent to each of the electric double-layer capacitors2. In this case, a diameter of each of the secondary batteries5constituting each of the battery units4has a value corresponding to a thickness of each of the electric double-layer capacitors2. Moreover, a height of each of the battery units4has a value corresponding to a height of each of the electric double-layer capacitors2(a length of a long side of the rectangular shape as viewed from the side).

The battery units4are alternately arranged so that the vertical orientation of one of the battery units4is opposite to that of the battery unit4adjacent thereto. Further, it is assumed that one of the battery units4, which has the positive electrode on the upper side in the drawing, is a battery unit of interest. Then, the positive electrode of the battery unit of interest is connected to the negative electrode of the battery unit4adjacent to the battery unit of interest on the right side in the drawing through an intermediation of a metal plate6ahaving an approximately rectangular shape. The metal plate6ais connected to the metal body15aof the electric double-layer capacitor2to be connected in parallel to the battery unit of interest and the metal body15bof the electric double-layer capacitor2provided adjacent to the aforementioned electric double-layer capacitor2on the right side through intermediation of a metal plate6bhaving an approximately rectangular shape.

The negative electrode of the battery unit of interest is connected to the positive electrode of the battery unit4adjacent to the battery unit of interest on the left side in the drawing through intermediation of a metal plate6chaving approximately the same shape as that of the metal plate6a. The metal plate6cis connected to the metal body15bof the electric double-layer capacitor2to be connected in parallel to the battery unit of interest and to the metal body15aof the electric double-layer capacitor2provided adjacent to the aforementioned electric double-layer capacitor2on the left side through intermediation of a metal plate6dhaving approximately the same shape as that of the metal plate6b. In this manner, the plurality of battery units4are connected in series to each other, and each of the battery units4is connected in parallel to the electric double-layer capacitor2adjacent thereto.

According to the aforementioned structure, the electric double-layer capacitors2and the battery units4are arranged in rows so that a gap therebetween is reduced. In addition, the terminals of the electric double-layer capacitors2or the like can be prevented from projecting. Thus, the overall size of the electric energy storage device1can be reduced.

Next, characteristics of the electric double-layer capacitors2and the battery units4constituting the electric energy storage device1in this embodiment are described.

In this embodiment, each of the secondary batteries5constituting the battery unit4is a sealed secondary battery and has a property of generating a reaction of reducing oxygen, which is generated at the positive electrode, at the negative electrode when being overcharged. Herein, “overcharge” means a state where electric energy is still supplied to the battery unit4even after the secondary batteries5constituting the battery unit4are fully charged. The reaction as described above occurs in the sealed secondary battery using an aqueous solution as the electrolyte. As specific examples of the secondary battery5described above, for example, a nickel-metal hydride battery, a nickel-cadmium battery, a valve-regulated lead-acid battery (sealed lead-acid battery), and the like are given.

Hereinafter, taking the nickel-metal hydride battery as an example, the properties of each of the sealed secondary batteries5for reducing oxygen, which is generated at the positive electrode, at the negative electrode when the secondary battery is overcharged are described. When the electric power is externally supplied to the nickel-metal hydride battery, the following reactions (hereinafter, referred to as charge reactions) occur respectively at the positive electrode (nickel hydroxide) and the negative electrode (a hydrogen-absorbing alloy; for example, misch metal nickel-five).
Positive electrode: Ni(OH)2+OH−→NiOOH+H2O+e−
Negative electrode: MmNi5+xH2O+xe−→MmNi5Hx+xOH−
By the charge reactions described above, the externally supplied electric energy is storaged in each of the secondary batteries5.

When the charge reactions progress, reactions as follows (hereinafter, referred to as side reactions) start occurring in each of the secondary batteries5in addition to the charge reactions described above.
Positive electrode: 2OH−→1/2O2+H2O+2e−
Negative electrode: 1/2O2+H2O+2e−→2OH−
Then, when each of the secondary batteries5is brought into an overcharged state, the charge reactions no longer occur and only the side reactions occur.

As a result of the side reactions, oxygen is generated at the positive electrode, whereas the thus generated oxygen is absorbed and reduced at the negative electrode. In this embodiment, the secondary batteries5are of sealed type. Therefore, oxygen generated at the positive electrode is not released to the outside each of the secondary batteries5but is used for the reaction occurring at the negative electrode. Therefore, the side reactions in the overcharged state progress without being particularly restricted as long as the electric power is externally supplied. As a result, even if the electric power is continuously externally supplied in the overcharged state, a voltage of each of the secondary batteries5is kept to an approximately constant value without being continuously increased. Moreover, the amount of electrolyte is not substantially reduced by the side reactions because the amount of water which is electrolyzed in the secondary battery5and the amount of water generated by oxygen reduction are equal to each other. Thus, the battery is not deteriorated by the overcharge.

FIG. 7is a graph showing the properties of the battery unit4including the nickel-metal hydride batteries as described above. In this graph, a horizontal axis indicates an electric energy (supplied energy) amount (in J) externally supplied to the battery unit4in a ratio (in %) to energy chargeable in the battery unit4. A left vertical axis in the drawing sheet indicates a voltage (in V) between the positive electrode and the negative electrode of the battery unit4, whereas a right vertical axis in the drawing sheet indicates a temperature (in degrees Celsius) of the battery unit4. In the graph, a change in voltage according to the supplied energy is indicated by a solid line, whereas a change in temperature is indicated by a broken line. As illustrated in the graph, when the battery unit4becomes into the overcharged state (specifically, in a state where a value on the horizontal axis exceeds 100%), the voltage of the battery unit4is slightly increased compared with that before the battery unit4is overcharged, and is then kept to an approximately constant value without being increased any more. Instead, it is shown that the externally supplied electric energy is converted into thermal energy by a chemical reaction, which increases the temperature of the battery unit4. Hereinafter, the voltage of the battery unit4when the battery unit is overcharged is denoted as an overcharge voltage Vo.

Further, in this embodiment, a rated voltage Vrof each of the electric double-layer capacitors2is equal to or higher than the overcharge voltage Voof the battery unit4connected in parallel to the each electric double-layer capacitor2. Here, the rated voltage Vris an upper limit voltage which is allowed to be applied to each of the electric double-layer capacitors2in a predetermined environment where the electric energy storage device1is used. For using the electric energy storage device1, the value of the voltage applied to each of the electric double-layer capacitors2is requested not to exceed the rated voltage Vr. The rated voltage Vrmay be, for example, a value of a rated voltage which is disclosed by a manufacturer of the electric double-layer capacitors2, or may also be a voltage upper limit value appropriate to the electric energy storage device1, which is determined based on circuit design requests, assumed usage environment, or the like.

As a specific example, the type, the number, and a mode of connection of the batteries constituting the battery unit4are determined according to the rated voltage Vrof each of the electric double-layer capacitors2so that the overcharge voltage Voof the battery unit4does not exceed the rated voltage Vr. In the case where the nickel-metal hydride battery having the voltage value of about 1.6V when being overcharged is used as each of the secondary batteries5constituting the battery unit4, the overcharge voltage Voof the battery unit4is about 3.2V when the battery unit4has the configuration in which the two secondary batteries5are connected in series as illustrated inFIG. 4. Therefore, the electric double-layer capacitors2, each having the rated voltage Vrof 3.2V or higher, are to be used for the electric energy storage device1.

In the case where a relation (rated voltage Vr)≧(overcharge voltage Vo) is satisfied by the electric double-layer capacitor2and the battery unit4connected in parallel to each other, the voltage applied to each of the electric double-layer capacitors2constituting the electric double-layer capacitor module3is controlled so as not to exceed the rated voltage Vreven if the electric energy exceeding a storageable energy of the electric energy storage device1is externally supplied. This is because the upper limit of the voltage applied to each of the electric double-layer capacitors2is reduced to the overcharge voltage Voby the side reactions occurring in each of the secondary batteries5included in the battery unit4connected in parallel to each of the electric double-layer capacitors2. Hence, according to the electric energy storage device1of this embodiment, it is no longer necessary to additionally connect an equalization circuit for controlling the voltage to be applied to each of the electric double-layer capacitors2.

In the above description, the reactions have been described taking the case where each of the secondary batteries5is the nickel-metal hydride battery as an example. However, other types of batteries may be used as long as the battery causes the reaction for reducing oxygen that oxygen is generated on the positive electrode and is reduced on the negative electrode when the secondary battery is overcharged. Moreover, although the battery unit4has the configuration in which the two secondary batteries5are connected in series in the above description, the configuration of the battery unit4is not limited thereto. In particular, the number of the secondary batteries5to be included in the battery unit4may be, for example, one, or three or larger according to the relation between the rated voltage Vrof the electric double-layer capacitor2and the overcharge voltage Voof each of the secondary batteries5.

Second Embodiment

Next, an electric energy storage device according to a second embodiment of the present invention is described. The electric energy storage device according to this embodiment is also a device for accumulating electric power obtained by wind power generation or the like, or regenerative electric power obtained by drive of an automobile or the like as in the case of the electric energy storage device according to the first embodiment, and includes an electric double-layer capacitor unit including at least one electric double-layer capacitor, and a battery unit connected in parallel to the electric double-layer capacitor, the battery unit including at least one secondary battery.FIG. 8is a diagram illustrating an example of a circuit configuration of an electric energy storage device21according to this embodiment. An electric double-layer capacitor unit23includes one or a plurality of electric double-layer capacitor cells22, whereas a battery unit24includes one or a plurality of secondary batteries25. The electric double-layer capacitor cell22may be an electric double-layer capacitor having the same configuration as that of the electric double-layer capacitor2described in the first embodiment. Each of the secondary batteries25may be a sealed battery such as a nickel-metal hydride battery, a nickel-cadmium battery, or a valve-regulated lead-acid battery (sealed lead-acid battery) as in the case of each of the secondary batteries5described in the first embodiment. Further, the battery unit24may have the same configuration as, or a different configuration than, that of the battery unit4described in the first embodiment.

In this embodiment, electrical characteristics of the components constituting the electric energy storage device21are determined according to the characteristics of the externally supplied electric energy. Specifically, it is assumed that the electric energy storage device21according to this embodiment is charged with, for example, electric power generated by wind power generation, wave power generation, or the like, or regenerative power obtained by the drive of an automobile or the like. In this case, the externally supplied electric power is input to the electric energy storage device21not in the form of a current having a constant current value over a long period of time but in the form of an intermittently changing current. Specifically, an input current Itexternally supplied to the electric energy storage device21has a characteristic that a current value thereof repeatedly exhibits peaks and valleys with elapse of time while the energy storaged in the electric energy storage device21reaches a predetermined target value from zero. More specifically, the input current Itrepeatedly exhibits the peaks and valleys in a cycle of, for example, several seconds to about 10 minutes.

When the electric energy externally supplied with the input current Itrepeatedly exhibiting the peaks and valleys as described above is to be storaged in the electric energy storage device using the secondary batteries25alone, the input current Ithaving a large current value exceeding an average value of the input current It, which is obtained over a period of time during which charging is performed, momentarily flows into the secondary batteries25at some time even if the average value is a value providing desirable conditions according to the characteristics of the secondary batteries25. At such a time, each of the secondary batteries25cannot efficiently progress the charge reactions described above due to characteristics such as reaction speed. As a result, a charging efficiency of the electric energy storage device (a ratio of energy which is not consumed inside but is storaged in the electric energy storage device to the externally supplied electric energy) may be lowered. Therefore, in this embodiment, the electric double-layer capacitor unit23is connected in parallel to the battery unit24including the secondary batteries25. As a result, the input current Itis distributed to flow into the battery unit24and the electric double-layer capacitor unit23so that the current flowing into the battery unit24is leveled by the electric double-layer capacitor unit23. Thus, a maximum value of the current flowing into the battery unit24can be reduced to improve the charging efficiency of each of the secondary batteries25.

FIG. 9is a graph showing an example of a relation among the input current Itinput to the electric energy storage device21at the time of charge, a current Icflowing into the electric double-layer capacitor unit23, and a current Ibflowing into the battery unit24connected in parallel to the electric double-layer capacitor unit23. InFIG. 9, a horizontal axis indicates a time (in minutes), whereas a vertical axis indicates a current (in A). Moreover, in the graph, a current value of the input current Itis indicated by a solid line, a current value of the current Icflowing into the electric double-layer capacitor unit23is indicated by a broken line, and a current value of the current Ibflowing into the battery unit24is indicated by an alternate long and short dash line. In the example shown in the graph, the input current Itis a pulse current with a square wave having a current value of I1during a time period t1and a current value of 0 during a following time period t2, the square wave being repeated in a cycle of (t1+t2).

In this case, while the current value of the input current Itis I1(during the time period t1), the input current Itis distributed to be supplied to the electric double-layer capacitor unit23and the battery unit24. Therefore, the current Ibhaving a smaller current value than I1flows into the battery unit24. Moreover, compared with the secondary battery25, charge/discharge at a high speed is possible for the electric double-layer capacitor unit23. Thus, the electric double-layer capacitor unit23is quickly charged so as to have a higher voltage than that of the battery unit24. Accordingly, while the current value of the input current Itis zero (during the time period t2), the electric power is discharged from the electric double-layer capacitor unit23to the battery unit24. As a result, during the time period t2, the current Icflowing into the electric double-layer capacitor unit23has a negative value (flows in a direction opposite to that during the time period t1) and the current Ibhaving the same amount as the current Icflows into the battery unit24. As a result, the battery unit24is continuously charged. In this way, the current Ibflowing into the battery unit24becomes a current exhibiting more moderate fluctuations than the peaks and valleys of the current value of the input current It. Accordingly, the charging efficiency can be prevented from being degraded due to the flow of an excessively large current into the secondary batteries25.

In the example described above, the distribution of the input current Itto be supplied to the electric double-layer capacitor unit23and the battery unit24is determined according to a ratio of an internal resistance Rcof the electric double-layer capacitor unit23to an internal resistance Rbof the battery unit24. Therefore, in the electric energy storage device21according to this embodiment, when the electric energy storage device is charged with the input current Ithaving the current value repeatedly exhibiting the peaks and valleys, the ratio of the internal resistance Rcof the electric double-layer capacitor unit23to the internal resistance Rbof the battery unit24is determined according to parameters relating to the input current Itso that the charging efficiency can be improved.

The charging efficiency of the electric energy storage device21according to this embodiment is degraded not only due to the electric energy consumed by the internal resistance Rcof the electric double-layer capacitor unit23and the internal resistance Rbof the battery unit24but also due to the increase in electric energy consumed by the side reactions (chemical reactions which do not contribute to charge) occurring in each of the secondary batteries25. Therefore, in this embodiment, the ratio of the internal resistance Rcof the electric double-layer capacitor unit23to the internal resistance Rbof the battery unit24(hereinafter, referred to as an internal resistance ratio) is determined so that a rate of the reaction speed of the charge reactions to the reaction speed of the side reactions (hereinafter, referred to as a reaction rate k) in each of the secondary batteries25constituting the battery unit24becomes high. Here, the reaction rate k indicates a likelihood of occurrence of the charge reactions with respect to all reactions occurring in the battery unit24. By increasing the reaction rate k, the ratio of occurrence of the charge reactions during the charge becomes high compared with that of the side reactions. As a result, the charging efficiency of the electric energy storage device21can be enhanced.

More specifically, for example, a relation between the reaction rate k (in %) and the internal resistance ratio (Rc/Rb) is modeled by a relational expression below. The relational expression is obtained by introducing the internal resistance ratio and the parameters relating to the input current Itas factors relating to a stress other than a temperature into the Eyring equation for the reaction speed.

In the expression, each of t1and t2is one of the parameters relating to the change in the input current Itwith time, t1is a time period during which the current having a predetermined current value flows, and t2is a time period subsequent to the time period t1, during which the current does not flow, each time period being indicated in seconds. Moreover, I1is one of the parameters relating to the magnitude of the input current Itand indicates a current value (in A) of the input current Itduring the time period t1. Changes in values of the parameters cause a change in the reaction rate k.

In Expression (1), T is a temperature (in degrees) of the battery unit24, and SOC is a ratio of a target charge amount with respect to a chargeable electric capacity of the entire battery unit4, specifically, a state of charge (in %). A value according to the environment where the electric energy storage device21is assumed to be used is suitably used as the temperature T. The state of charge SOC is determined according to the purpose of use of the electric energy storage device21or the necessary electric energy. For example, in the case where it is assumed that the electric energy storage device21is charged until the state of charge SOC of the battery unit24becomes 80% for use, the value 80 is used as the value of the state of charge SOC. As a result, the reaction rate k when the electric energy storage device21in an empty state is charged to the state of charge of 80% can be calculated according to Expression (1).

Further, in Expression (1), A, B, α, β, γ, and ω are predetermined constants and are determined according to the type of the secondary batteries25constituting the battery unit24, the electric double-layer capacitor cell22constituting the electric double-layer capacitor unit23, or the like. The aforementioned constants can be determined by, for example, inputting the input current Itdetermined by a specific parameter into a test circuit and measuring the reaction rate k.

By using Expression (1) described above, the reaction rate k, which is an index associated with the charging efficiency of the electric energy storage device21, can be calculated by using the parameters (I1, t1, and t2in this case) relating to the input current Itwhich is assumed to be input for the actual use of the electric energy storage device21. Here, it is necessary to take various conditions in addition to the charging efficiency into consideration in terms of circuit design. For example, if the capacity of the electric double-layer capacitor unit23, which is connected in parallel to the battery unit24, is increased, the input current Itcan be further leveled to improve the charging efficiency. On the other hand, however, an energy density of the electric double-layer capacitor cell22is generally smaller than that of each of the secondary batteries25. Therefore, if the capacity of the electric double-layer capacitor unit23is increased, the energy density of the whole electric energy storage device21is lowered. Accordingly, the internal resistance ratio (Rc/Rb) which satisfies the condition that, for example, the reaction rate k becomes the predetermined value or larger, is determined by using Expression (1). A circuit configuration of the electric energy storage device21is determined so that other conditions relating to the energy density and the like are also satisfied while the condition of the internal resistance ratio (Rc/Rb) determined by using Expression (1) is satisfied. Alternatively, when the amount of increase in the reaction rate k with respect to the amount of change in the internal resistance ratio (Rc/Rb) calculated by Expression (1) becomes a predetermined value or less, the capacity of the electric double-layer capacitor unit23may be determined so as not to be increased any more.

Further, by introducing a parameter in consideration of both the aforementioned internal resistance ratio (Rc/Rb) and a ratio of a chargeable electric energy Wcin the electric double-layer capacitor unit23to a chargeable electric energy Wbin the battery unit24(hereinafter, referred to as a chargeable electric energy ratio) and using the electric double-layer capacitor unit23and the battery unit24which satisfy conditions relating to the aforementioned parameter, the charging efficiency of the whole electric energy storage device21can be improved when the current value of the input current Itrepeatedly exhibits the peaks and valleys. Hereinafter, the aforementioned case is described in detail. In this embodiment, the chargeable electric energy of each of the electric double-layer capacitor unit23and the battery unit24indicates the maximum electric energy (electrical energy) which can be storaged in and discharged from each, and is defined by a discharged electric energy based on a method of measuring a rated capacity of each device. For example, for the nickel-metal hydride battery, the chargeable electric energy is an electric energy obtained by performing a constant-current charge with the amount of electricity corresponding to 150% of a rated amount of electricity at 0.1 C (10-hour rate current) and then performing discharge to a predetermined voltage (generally, 1.0V to each cell) at 0.2 C (5-hour rate current). For the electric double-layer capacitor, the chargeable electric energy is an electric energy obtained by performing a constant-current/constant-voltage charge at 1.0 C (1-hour rate current) and a rated voltage and then performing a discharge to a predetermined voltage (generally, 0.0V to each cell) at 1.0 C.

In general, in the secondary battery or the electric double-layer capacitor, the chargeable electric energy and the internal resistance, which are indices of performance of the secondary battery or the electric double-layer capacitor, are not completely independent of each other. When one of the performances is improved, the other performance tends to be relatively lowered. Therefore, conventionally, for a purpose of use with a short period of time for one charge or discharge, it is considered to be important to decrease the internal resistance in view of the improvement of input/output performance of the electric energy storage device. On the other hand, for a purpose of use where the charge/discharge is performed over a relatively long period of time, short-term input/output performance is not considered to be extremely important. Therefore, the secondary battery having a high energy density is used, whereas the internal resistance is not considered to be much of a problem. On the other hand, when the electric power externally supplied with the input current Ithaving the current value repeatedly exhibiting the peaks and valleys in periodic is to be storaged, the charging efficiency is not always optimized even if the electric double-layer capacitor having a small internal resistance is connected simply at the expense of the chargeable electric energy.

In view of the aforementioned circumstances, a parameter P expressed by a product of the internal resistance ratio (Rc/Rb) and the chargeable electric energy ratio (Wc/Wb) is introduced below as a parameter in consideration of both the internal resistance and the accumulable electric energy of the electric double-layer capacitor unit23to be connected in parallel to the battery unit24. Specifically, a value of the parameter P is a dimensionless amount calculated by:
P=(Rc·Wc)/(Rb·Wb).

When the electric energy storage device is charged with the momentarily input current, there is little necessity for the accumulable electric energy Wcof the electric double-layer capacitor unit23to be large. On the other hand, the internal resistance Rcis required to be small. Therefore, a value of the parameter P is desired to be smaller. In this embodiment, however, the charge is assumed to be performed with the input current Ithaving a time cycle of about five seconds to about five minutes for one continuous charge. In this case, the input current Itis distributed according to an inverse ratio of the internal resistance of the battery unit24and that of the electric double-layer capacitor unit23at the moment when the charge is started. Thereafter, however, the voltage of the electric double-layer capacitor unit23increases in proportion to the charged amount of electricity. Therefore, the distribution of the input current Itchanges so that a difference in voltage between the electric double-layer capacitor unit23and the battery unit24, which is caused by the increased voltage, is eliminated. Specifically, the current flowing into the battery unit24increases, whereas the current flowing into the electric double-layer capacitor unit23decreases. Here, if the chargeable electric energy Wcof the electric double-layer capacitor unit23is small, the current flowing into the electric double-layer capacitor unit23decreases at a relatively early time, and hence, the current flowing into the battery unit24is increased. Therefore, the current flowing into the battery unit24cannot be sufficiently leveled. Therefore, it is necessary to determine the value of the parameter P in consideration of both the internal resistance ratio and the chargeable electric energy ratio so that the input current Itis distributed to be supplied to both the electric double-layer capacitor unit23and the battery unit24under desirable conditions according to the length of time for one continuous charge.

More specifically, it is preferred that the value of the parameter P fall in the range of 0.018 to 0.036, inclusively. Further, it is more preferred that the value of the parameter P be equal to or less than 0.030. It is further preferred that the value of the parameter P be equal to or larger than 0.025. Specifically, it is further preferred that the value of the parameter P be 0.025 or larger and 0.030 or smaller. By using the electric double-layer capacitor unit23and the battery unit24satisfying the aforementioned condition, the charging efficiency of the electric energy storage device21can be improved.

According to the embodiment described above, when the electric power externally supplied with the input current Ithaving the current value repeatedly exhibiting the peaks and valleys is to be storaged, the ratio of the internal resistance Rcof the electric double-layer capacitor unit23to the internal resistance Rbof the battery unit24or the value of the parameter P is appropriately determined. As a result, the charging efficiency of the electric energy storage device21can be improved.

In the above description, the pulse current having the square wave is assumed as the input current It. However, the input current Itobtained by, for example, the wind power generation is not always a current having two current values, I1and 0, as described above and is assumed to have the current value which exhibits peaks and valleys irregularly. In such a case, for example, values described below may be used as the aforementioned parameters I1, t1, and t2relating to the input current It. Specifically, over one set of the peak and valley of the current value of the input current It, the time period during which a current having a predetermined threshold value or larger flows is t1, whereas the time period during which a current less than the predetermined threshold value flows is t2. Further, in the case where the cycles of the peaks and valleys of the input current Itover the entire time period during which the electric energy storage device21is assumed to be charged are irregular, the time periods during which the current having the predetermined threshold value or larger flows and the time periods during which the current less than the predetermined threshold value flows are added over all the plurality of repeated peaks and valleys. The values obtained by the addition are respectively divided by the number of repeated sets of the peak and valley to calculate an average value of the time periods during which the current having the predetermined threshold value or larger flows and an average value of the time periods during which the current less than the predetermined threshold value flows over a single set of the peak and valley. The calculated average values may be used as the time parameters t1and t2. An average value of the input current Itduring the time periods t1in which the current value of the input current Itexceeds the predetermined threshold value is used as I1.

The aforementioned structures of the first embodiment and the second embodiment may be used in combination. Specifically, the battery units may be respectively connected in parallel to the plurality of electric double-layer capacitors connected in series to each other and each battery unit may have the overcharge voltage equal to or less than the rated voltage of the electric double-layer capacitor connected thereto. In addition, the set of the electric double-layer capacitor and the battery unit connected in parallel to each other may satisfy the condition of the parameter P as described above.

EXAMPLES

Hereinafter, specific examples of the electric energy storage device, to which the present invention is applied, are described as Examples. However, the present invention is not limited to the following Examples. First, as examples of the electric energy storage device in which the battery units, each including two nickel-metal hydride batteries, and the electric double-layer capacitor units are connected in parallel, Examples A1 and A2 are described.

The battery unit including two D-size nickel-metal hydride batteries (GP1000DH manufactured by GP batteries International Limited) connected in series to each other, each having a rated capacity of 10,000 mAh, was connected in parallel to the electric double-layer capacitor unit including two “N's CAP”s (registered trademark) manufactured by Nisshinbo Holdings Inc., corresponding to the electric double-layer capacitors, connected in series to each other, each having a rated voltage of 3.2V or higher, to obtain the electric energy storage device. In this electric energy storage device, a ratio of the chargeable electric energy of the battery unit and that of the electric double-layer capacitor was 10:1, whereas the ratio (Rc/Rb) of the internal resistance Rcof the electric double-layer capacitor and the internal resistance Rbof the battery unit was 0.25.

The battery unit including two D-size nickel-metal hydride batteries (GP1000DH manufactured by GP batteries International Limited) connected in series to each other, each having a rated capacity of 10,000 mAh, was connected in parallel to the electric double-layer capacitor unit including one “N's CAP” (registered trademark) manufactured by Nisshinbo Holdings Inc., corresponding to the electric double-layer capacitor having a rated voltage of 3.2V or higher, to obtain the electric energy storage device. In this electric energy storage device, a ratio of the storaged electric amount of the battery unit and that of the electric double-layer capacitor was 10:0.5, whereas the ratio (Rc/Rb) of the internal resistance Rcof the electric double-layer capacitor and the internal resistance Rbof the battery unit was 0.13.

Comparative Example a1

For comparison between the charging efficiency in the case where the electric double-layer capacitor is not connected in parallel to the battery unit and the charge efficiencies of Examples, a battery unit obtained by connecting the two D-size nickel-metal hydride batteries (GP1000DH manufactured by GP batteries International Limited), each having a rated capacity of 10,000 mAh, in series, was used alone to obtain the electric energy storage device.

The charge efficiencies were measured when the following input currents in two patterns were input to each of the electric energy storage devices of Examples A1 and A2 and Comparative Example a1.Pattern A: Repeats of input of a current having a current rate of 3.0 C for 10 seconds and rest for 11 seconds.Pattern B: Repeats of input of a current having a current rate of 1.0 C for 10 seconds and rest for 11 seconds.
The measurement results are shown inFIG. 10. In the graph, a horizontal axis indicates a ratio (in %) of the amount of externally supplied electric energy (supplied energy) (in J) to the electric energy chargeable in the electric energy storage device, whereas a vertical axis indicates the charging efficiency (a ratio of the energy storaged in the electric energy storage device to the supplied energy) (in %). Moreover, solid lines indicate the measurement results for the input current in Pattern A, whereas broken lines indicate the measurement results for the input current in Pattern B. Further, lines plotted with rectangular signs indicate the measurement results of Example A1, lines plotted with circular signs indicate the measurement results of Example A2, and lines plotted with triangular signs indicate the measurement results of Comparative Example a1.

As shown in the graph, in each of Examples A1 and A2, the charging efficiency is improved for both the input currents in Pattern A and Pattern B compared with Comparative Example a1. Although the charging efficiency of Example A1 is improved more than that of Example A2, the degree of increase is larger for the input current in Pattern A than for the input current in Pattern B. Specifically, for the purpose of use where the input current modeled in Pattern A is assumed to be used, the increase in capacity of the electric double-layer capacitor more greatly improves the charging efficiency compared with the case with Pattern B.

Next, Examples for describing the relation between the value of the parameter P and the charging efficiency are described.

[Fabrication of a Nickel-Metal Hydride Battery Unit]

Ten cells of D-size cylindrical sealed nickel-metal hydride batteries (GP1000DH manufactured by GP batteries International Limited, each having a rated power of 10,000 mAh, a rated discharge voltage of 1.25V, an upper-limit charge voltage of 1.5V, and an internal resistance of 2.5 mΩ) were arranged so that two cells were arranged in a height direction and five cells were arranged in a vertical direction, and were connected in series by resistance welding nickel pieces, each having a width of 20 mm, a thickness of 0.3 mm, and a length of 40 mm, to the electrode terminals. In this manner, a nickel-metal hydride battery unit having a rated voltage of 12.5V and an upper-limit charge voltage of 15V (the chargeable electric energy Wb=125,000 mWh, and the internal resistance Rb=25 mΩ) was fabricated.

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 3,000 F, a rated voltage of 3.0V, and an internal resistance of 0.6 mΩ, were connected in series by welding the electrode terminals thereof to fabricate an electric double-layer capacitor unit having a rated voltage of 15V, an electrostatic capacitance of 600 F, and an internal resistance Rcof 3 mΩ (the chargeable electric energy Wc=18,750 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned nickel-metal hydride battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 5,000 F, a rated voltage of 3.0V, and an internal resistance of 0.5 mΩ, were connected in series by welding the electrode terminals thereof to fabricate an electric double-layer capacitor unit having a rated voltage of 15V, an electrostatic capacitance of 1,000 F, and an internal resistance Rcof 2.5 mΩ (the chargeable electric energy Wc=31,250 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 6,000 F, a rated voltage of 3.0V, and an internal resistance of 0.5 mΩ, were connected in series by welding the electrode terminals thereof to fabricate an electric double-layer capacitor unit having a rated voltage of 15V, an electrostatic capacitance of 1,200 F, and an internal resistance Rcof 2.5 mΩ (the chargeable electric energy Wc=37,500 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 6,000 F, a rated voltage of 3.0V, and an internal resistance of 0.6 mΩ, were connected in series by welding the electrode terminals thereof to fabricate a electric double-layer capacitor unit having a rated voltage of 15V, an electrostatic capacitance of 1,200 F, and an internal resistance Rcof 3 mΩ (the chargeable electric energy Wc=37,500 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

Comparative Example b1

The battery unit alone was used to obtain the electric energy storage device.

Comparative Example b2

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 1,000 F, a rated voltage of 3.0V, and an internal resistance of 1.2 mΩ, were connected in series by welding the electrode terminals thereof to fabricate an electric double-layer capacitor unit having a rated voltage of 15V, an electrostatic capacitance of 200 F, and an internal resistance Rcof 6 mΩ (the chargeable electric energy Wc=6,250 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

Comparative Example b3

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 2,000 F, a rated voltage of 3.0V, and an internal resistance of 0.8 mΩ, were connected in series by welding the electrode terminals thereof to fabricate an electric double-layer capacitor unit having a rated voltage of 15V, an electrostatic capacitance of 400 F, and an internal resistance Rcof 4 mΩ (the chargeable electric energy Wc=12,500 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned nickel-metal hydride battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

Comparative Example b4

Five electric double-layer capacitor cells, each having a rated electrostatic capacitance of 6,000 F, a rated voltage of 3.0V, and an internal resistance of 0.8 mΩ, were connected in series by welding the electrode terminals thereof to fabricate an electric double-layer capacitor unit having the rated voltage of 15V, an electrostatic capacitance of 1,200 F, and an internal resistance Rcof 4 mΩ (the chargeable electric energy Wc=37,500 mWh). The electric double-layer capacitor unit was connected in parallel to the aforementioned nickel-metal hydride battery unit by using a vinyl-sheathed wire having a diameter of 5.5 mm and a length of 50 mm to obtain the electric energy storage device.

For each of the electric energy storage devices of Examples B1 to B4 and Comparative Examples b1 to b4 described above, after discharging the remaining electric energy to 10V at a 5-hour rate current (2,000 mA) for the rated amount of electricity of the nickel-metal hydride battery, a cycle of charging the electric energy storage device with a current of 20 A for 10 seconds and subsequently resting for 10 seconds was repeated so as to charge the electric energy storage device with 80% (8,000 mAh) of the chargeable electric energy. The parameters relating to the input current at this time were: I1=20 A, t1=10 seconds, and t2=10 seconds. After the charge, the electric energy was discharged again to 10V at the 5-hour rate current (2,000 mA) for the rated amount of electricity of the nickel-metal hydride battery. The voltage of the nickel-metal hydride battery was a voltage measured between the electrode terminals of the battery. The voltage of the electric energy storage device according to each of Examples was a voltage measured between copper wires, each exposed from a middle portion of the vinyl-sheathed wire used for connecting the positive/negative electrodes of the nickel-metal hydride battery unit and those of the electric double-layer capacitor unit. An integral of the amount of electricity at the voltage of the electric energy storage device when the electric energy storage device was charged was an electric energy Wchargesupplied to the electric energy storage device, an integral of the amount of electricity at the voltage of the electric energy storage device when the electric energy storage device was discharged was a discharged electric energy Wdischarge. A ratio of the discharged electric energy to the charged electric energy, Wdischarge/Wcharge×100(%), was obtained as a charging efficiency Effof the electric energy storage device under the charging conditions.

Moreover, the cases where measurements were performed under the charging conditions where a cycle of charging the electric energy storage device with the current of 20 A for 60 seconds and then resting for 60 seconds was repeated to charge the electric energy storage device with 80% (8,000 mAh) of the storaged amount of electricity, respectively for the electric energy storage devices described in Examples B1 to B4 and Comparative Examples b2 to b4, are described as Examples C1 to C4 and Comparative Examples c1 to c3. The parameters relating to the input current at this time were I1=20 A, t1=60 seconds, and t2=60 seconds.

Further, the cases where measurements were performed under the charging conditions where a cycle of charging the electric energy storage device with the current of 20 A for 300 seconds and then resting for 300 seconds was repeated to charge the electric energy storage device with 80% (8,000 mAh) of the storaged amount of electricity, respectively for the aforementioned electric energy storage devices, are described as Examples D1 to D4 and Comparative Example d1 to d3. The parameters relating to the input current at this time were I1=20 A, t1=300 seconds, and t2=300 seconds.

The internal resistance ratio (Rc/Rb), the chargeable electric energy ratio (Wc/Wb), the value of the parameter P, the conditions relating to the input current, and the result of simulation of the charging efficiency in the electric energy storage devices of Examples and Comparative Examples described above are shown in the following table.

FIG. 11is a graph showing the relation between the value of the parameter P and the charging efficiency Effshown in the aforementioned table. InFIG. 11, a horizontal axis indicates the value of the parameter P, whereas a vertical axis indicates the value of the charging efficiency Eff. Each circular sign indicates the case where t1=t2=10 seconds (Examples B1 to B4 and Comparative Examples b2 to b4), each rectangular sign indicates the case where t1=t2=60 seconds (Examples C1 to C4 and Comparative Examples c1 to c3), and each triangular sign indicates the case where t1=t2=300 seconds (Examples D1 to D4 and Comparative Examples d1 to d3).

As is apparent fromFIG. 11, in the case of the cycle of supplying the electric energy storage devices with the electric power at time intervals with the time period t1=10 to 300 seconds and then stopping the input current, it is understood that the charging efficiency Effis more improved for the electric energy storage devices with the value of the parameter P being equal to or larger than 0.018 and equal to or less than 0.036 than for the electric energy storage devices with the value of the parameter P being less than 0.018 or larger than 0.036. Moreover, the charging efficiency Effhas a peak when the value of the parameter P is in the vicinity of 0.025 to 0.030 and then decreases. Therefore, by determining the types and configurations of the electric double-layer capacitor unit and the battery unit so that the value of the parameter P becomes 0.018 or larger and 0.036 or less, more preferably, from 0.025 to 0.030, the charging efficiency Effcan be improved for the purpose of use where the current value of the input current repeatedly exhibits the peaks and valleys.