Battery management system, battery management method, battery pack, and electric vehicle
12558990 ยท 2026-02-24
Assignee
Inventors
- Gi-Min NAM (Daejeon, KR)
- Hyeong-Seok Kim (Daejeon, KR)
- Won-Tae JOE (Daejeon, KR)
- Tae-Hyun Hwang (Daejeon, KR)
Cpc classification
B60L58/12
PERFORMING OPERATIONS; TRANSPORTING
H01M10/441
ELECTRICITY
Y02T10/70
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
Y02E60/10
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
H01M2220/20
ELECTRICITY
B60L53/66
PERFORMING OPERATIONS; TRANSPORTING
International classification
B60L58/12
PERFORMING OPERATIONS; TRANSPORTING
B60L53/66
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A battery management system includes a sensing unit to generate a sensing signal indicating a battery voltage and a battery current of a battery, a memory unit to store a charge map recording first to n.sup.th reference currents, first to n.sup.th reference voltage ranges, first to n.sup.th reference states of charge (SOCs) and first to n.sup.th reference voltage curves for multi-stage constant-current charging, and a control unit to command constant-current charging to a charging circuit using a k.sup.th reference current corresponding to a k.sup.th reference voltage range to which the battery voltage belongs, and update the charge map by comparing a k.sup.th measured voltage curve indicating a correlation between the battery voltage and the SOC of the battery over a charging period of the constant-current charging with a k.sup.th reference voltage curve in response to the battery voltage having reached an upper limit of the k.sup.th reference voltage range.
Claims
1. A battery management system, comprising: a voltage sensor configured to generate a voltage signal indicating a battery voltage of a battery; a current sensor configured to generate a current signal indicating a battery current of the battery; memory configured to store a charge map recording a correlation between first to n.sup.th reference currents, first to n.sup.th reference voltage ranges, first to n.sup.th reference states of charge (SOCs) and first to n.sup.th reference voltage curves for multi-stage constant-current charging of the battery; and a controller; the memory having instructions programmed thereon that, when executed, are configured to cause the controller to: determine a SOC of the battery based on at least one of the voltage signal or the current signal; in response to a charge start command, command constant-current charging to a charging circuit connected to the battery using a k.sup.th reference current corresponding to a k.sup.th reference voltage range to which the battery voltage belongs, and in response to the battery voltage having reached an upper limit of the k.sup.th reference voltage range, update the charge map by comparing a k.sup.th measured voltage curve indicating a correlation between the battery voltage and the SOC of the battery over a charging period of the constant-current charging with a k.sup.th reference voltage curve of the charge map, wherein n is a natural number equal to 2 or greater, and k is a natural number of n or smaller.
2. The battery management system according to claim 1, wherein the instructions are configured to cause the controller to update the k.sup.th reference current based on a ratio of an average SOC of the k.sup.th measured voltage curve to an average SOC of the k.sup.th reference voltage curve.
3. The battery management system according to claim 1, wherein the instructions are configured to cause the controller to update the k.sup.th reference current based on a ratio of an average voltage of the k.sup.th reference voltage curve to an average voltage of the k.sup.th measured voltage curve.
4. The battery management system according to claim 1, wherein the instructions are configured to cause the controller to update the k.sup.th reference current based on a first ratio of an average SOC of the k.sup.th measured voltage curve to an average SOC of the k.sup.th reference voltage curve and a second ratio of an average voltage of the k.sup.th reference voltage curve to an average voltage of the k.sup.th measured voltage curve.
5. The battery management system according to claim 1, wherein the instructions are configured to cause the controller to update the k.sup.th reference current based on a ratio of a SOC of interest to a k.sup.th reference SOC, wherein the SOC of interest is the SOC of the battery at a point in time when the battery voltage reaches the upper limit of the k.sup.th reference voltage range.
6. The battery management system according to claim 1, wherein the instructions are configured to cause the controller to update each remaining reference current except the k.sup.th reference current based on a ratio of the updated k.sup.th reference current to the k.sup.th reference current.
7. The battery management system according to claim 1, wherein the instructions are configured to cause the controller to command constant-voltage charging to the charging circuit using the upper limit of the k.sup.th reference voltage range in response to the battery voltage having reached the upper limit of the k.sup.th reference voltage range.
8. A battery pack comprising the battery management system according to claim 1.
9. An electric vehicle comprising the battery pack according to claim 8.
10. A battery management method, comprising: in response to a charge start command, commanding, by the controller, constant-current charging using a k.sup.th reference current corresponding to a k.sup.th reference voltage range to which a battery voltage of a battery belongs to a charging circuit connected to the battery, using a charge map recording a correlation between first to n.sup.th reference currents, first to n.sup.th reference voltage ranges, first to n.sup.th reference states of charge (SOCs) and first to n.sup.th reference voltage curves for multi-stage constant-current charging of the battery; and in response to the battery voltage having reached an upper limit of the k.sup.th reference voltage range, updating, by the controller, the charge map by comparing a k.sup.th measured voltage curve indicating a correlation between the battery voltage and a SOC of the battery over a charging period of the constant-current charging with a k.sup.th reference voltage curve of the charge map, wherein n is a natural number equal to 2 or greater, and k is a natural number of n or smaller.
11. The battery management method according to claim 10, wherein updating the charge map comprises updating the k.sup.th reference current based on a ratio of an average SOC of the k.sup.th measured voltage curve to an average SOC of the k.sup.th reference voltage curve.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The accompanying drawings illustrate a preferred embodiment of the present disclosure, and together with the detailed description of the present disclosure described below, serve to provide a further understanding of the technical aspects of the present disclosure, and thus the present disclosure should not be construed as being limited to the drawings.
(2)
(3)
(4)
(5)
(6)
DETAILED DESCRIPTION
(7) Hereinafter, the preferred embodiments of the present disclosure will be described in detail with reference to the accompanying drawings. Prior to the description, it should be understood that the terms or words used in the specification and the appended claims should not be construed as being limited to general and dictionary meanings, but rather interpreted based on the meanings and concepts corresponding to the technical aspects of the present disclosure on the basis of the principle that the inventor is allowed to define the terms appropriately for the best explanation.
(8) Therefore, the embodiments described herein and the illustrations shown in the drawings are just a most preferred embodiment of the present disclosure, but not intended to fully describe the technical aspects of the present disclosure, so it should be understood that a variety of other equivalents and modifications could have been made thereto at the time that the application was filed.
(9) The terms including the ordinal number such as first, second and the like, are used to distinguish one element from another among various elements, but not intended to limit the elements by the terms.
(10) Unless the context clearly indicates otherwise, it will be understood that the term comprises when used in this specification, specifies the presence of stated elements, but does not preclude the presence or addition of one or more other elements. Additionally, the term control unit refers to a processing unit of at least one function or operation, and this may be implemented by hardware and software either alone or in combination.
(11) In addition, throughout the specification, it will be further understood that when an element is referred to as being connected to another element, it can be directly connected to the other element or intervening elements may be present.
(12)
(13) Referring to
(14) The battery pack 10 includes a battery B, a switch 20 and a battery management system 100.
(15) The battery B includes at least one battery cell. Each battery cell is not limited to a particular type, and may include any battery cell that can be repeatedly recharged such as, for example, a lithium ion cell. The battery B may be coupled to the inverter 30 and/or the charging circuit 50 through a pair of power terminals provided in the battery pack 10.
(16) The switch 20 is connected in series to the battery B. The switch 20 is installed on a current path for the charge/discharge of the battery B. The on/off of the switch 20 is controlled in response to a switching signal from the battery management system 100. The switch 20 may be a mechanical relay that is turned on/off by the electromagnetic force of a coil or a semiconductor switch such as a Metal Oxide Semiconductor Field Effect transistor (MOSFET).
(17) The inverter 30 is provided to convert the direct current (DC) from the battery B to alternating current (AC) in response to a command from the battery management system 100. The electric motor 40 may be, for example, a three-phase AC motor. The electric motor 40 works using the AC power from the inverter 30.
(18) The battery management system 100 may be responsible for the general control related to the charge/discharge of the battery B.
(19) The battery management system 100 includes a sensing unit 110, a memory unit 120 and a control unit 140. The battery management system 100 may further include at least one of an interface unit 130 or a switch driver 150.
(20) The sensing unit 110 includes a voltage sensor 111 and a current sensor 112. The sensing unit 110 may further include a temperature sensor 113.
(21) The voltage sensor 111 is connected in parallel to the battery B and configured to detect a battery voltage across the battery B and generate a voltage signal indicating the detected battery voltage. The current sensor 112 is connected in series to the battery B through the current path. The current sensor 112 is configured to detect a battery current flowing through the battery B and generate a current signal indicating the detected battery current. The temperature sensor 113 is configured to detect a temperature of the battery B and generate a temperature signal indicating the detected temperature.
(22) The memory unit 120 may include at least one type of storage medium of flash memory type, hard disk type, Solid State Disk (SSD) type, Silicon Disk Drive (SDD) type, multimedia card micro type, random access memory (RAM), static random access memory (SRAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM) or programmable read-only memory (PROM). The memory unit 120 may store data and programs required for the computation operation by the control unit 140. The memory unit 120 may store data indicating the result of the computation operation by the control unit 140.
(23) The memory unit 120 stores a charge map. The charge map may be pre-stored in the memory unit 120 before the battery management system 100 is loaded, or may be received from, for example, a battery manufacturer, or a high-level controller 2 through the interface unit 130. The data recorded in the charge map may be preset based on test and/or simulation results of a sample battery having the same specification as the battery B.
(24) The charge map is used in a charging procedure for multi-stage constant-current charging of the battery B. The charge map records a correlation between (i) first to n.sup.th reference currents, (ii) first to n.sup.th reference voltage ranges, (iii) first to n.sup.th reference state of charges (SOCs) and (iv) first to n.sup.th reference voltage curves for multi-stage constant-current charging. n is a natural number of 2 or greater. The later reference current may be smaller than the earlier reference current. Each reference voltage range may be referred to as stage.
(25) The interface unit 130 may include a communication circuit configured to support wired or wireless communication between the control unit 140 and the high-level controller 2 (for example, an Electronic Control Unit (ECU)). The wired communication may be, for example, controller area network (CAN) communication, and the wireless communication may be, for example, Zigbee or Bluetooth communication. The communication protocol is not limited to a particular type, and may include any communication protocol that supports the wired/wireless communication between the control unit 140 and the high-level controller 2. The interface unit 130 may include an output device (for example, a display, a speaker) to provide the information received from the control unit 140 and/or the high-level controller 2 in a recognizable format. The high-level controller 2 may control the inverter 30 based on battery information (for example, voltage, current, temperature, SOC) collected through the communication with the battery management system 100. The high-level controller 2 may transmit a charge start command or charge stop command to the battery management system 100 in response to the vehicle's user input.
(26) The control unit 140 may be operably coupled to the high-level controller 2, the switch 20, the charging circuit 50, the sensing unit 110, the memory unit 120, the interface unit 130 and/or the switch driver 150. Operably coupled refers to directly/indirectly connected to transmit and receive a signal in one or two directions.
(27) The switch driver 150 is electrically coupled to the control unit 140 and the switch SW. The switch driver 150 is configured to selectively turn on/off the switch SW in response to a command from the control unit 140. The control unit 140 may command the switch driver 150 to turn on the switch SW during the charging procedure.
(28) The control unit 140 may collect a sensing signal from the sensing unit 110. The sensing signal indicates the detected voltage signal, the detected current signal and/or the detected temperature signal in synchronization.
(29) The control unit 140 may be referred to as a battery controller, and may be implemented in hardware using at least one of application specific integrated circuits (ASICs), digital signal processors (DSPs), digital signal processing devices (DSPDs), programmable logic devices (PLDs), field programmable gate arrays (FPGAs), microprocessors or electrical units for performing the other functions.
(30) The interface unit 130 may relay the bi-directional communication between the control unit 140 and the charging circuit 50 and the bi-directional communication between the control unit 140 and the high-level controller 2. The charging circuit 50 is configured to supply a charge current of a C-rate requested from the battery management system 100 to the battery B. The charging circuit 50 may be configured to supply a charge voltage having a voltage level requested from the battery management system 100 to the battery B. The control unit 140 is configured to start the charging procedure using the charge map in response to receiving the charge start command through the interface unit 130. The control unit 140 may terminate the charging procedure using the charge map in response to receiving the charge stop command through the interface unit 130.
(31) The control unit 140 may determine a SOC indicating the remaining capacity of the battery B based on the sensing signal. In determining the SOC, a well-known algorithm such as ampere counting, an open circuit voltage (OCV)-SOC curve and a Kalman filter may be used. The SOC of the battery B may be referred to as a battery SOC.
(32)
(33) A current profile 210 shown in
(34) The first to fourth reference voltage ranges V.sub.1V.sub.4 are consecutive in a sequential order. Accordingly, when i is a natural number of (n1) or smaller, V.sub.i is the upper limit of the i.sup.th reference voltage range V.sub.i, and the lower limit of the (i+1).sup.th reference voltage range V.sub.i+1. For example, each of the upper limit of V.sub.2 and the lower limit of V.sub.3 is V.sub.2 and equal to each other. Hereinafter, V.sub.k may be referred to as a k.sup.th reference voltage.
(35) When the battery voltage of the battery B is found in the i.sup.th reference voltage range V.sub.i, the control unit 140 may command constant-current charging using the i.sup.th reference current I.sub.i to the charging circuit 50.
(36) During the constant-current charging using the i.sup.th reference current I.sub.i, when the SOC of the battery B reaches the upper limit V.sub.i of the i.sup.th reference voltage range V.sub.i, the control unit 140 may command constant-current charging using the (i+1).sup.th reference current I.sub.i+1 to the charging circuit 50. That is, the control unit 140 may change from the constant-current charging using the i.sup.th reference current I.sub.i to the constant-current charging using the (i+1).sup.th reference current I.sub.i+1.
(37) During the constant-current charging using the n.sup.th reference current I.sub.n, when the SOC of the battery B reaches the upper limit V.sub.n of the n.sup.th reference voltage range V.sub.n, the control unit 140 may terminate the multi-stage constant-current charging using the charge map and command constant-voltage charging using the upper limit V.sub.n to the charging circuit 50. That is, the control unit 140 may change from the constant-current charging using the n.sup.th reference current I.sub.n to the constant-voltage charging using the upper limit V.sub.n.
(38) A first voltage profile 310 shown in
(39) S.sub.k indicates the SOC of the battery B when the battery voltage of the battery B at BOL reaches the k.sup.th reference voltage V.sub.k by the constant-current charging using the k.sup.th reference current I.sub.k.
(40) Meanwhile, as the battery B gradually degrades, the capacity loss of the battery B increases, and thus the voltage rise by the same charge capacity increases compared to when the battery B is at BOL. Accordingly, the battery voltage having reached the k.sup.th reference voltage V.sub.k before the SOC reaches the k.sup.th reference SOC S.sub.k during the constant-current charging using the k.sup.th reference current I.sub.k of the charge map indicates that the battery B degraded compared to when the battery B is at BOL A second voltage profile 320 shown in
(41) During the constant-current charging using the k.sup.th reference current I.sub.k, the battery voltage having reached the k.sup.th reference voltage V.sub.k before the SOC of the battery B reaches the k.sup.th reference SOC S.sub.k indicates that it is necessary to reduce the k.sup.th reference current I.sub.k in the next multi-stage constant-current charging procedure. The decrease in the k.sup.th reference current I.sub.k may be determined considering the voltage history and/or SOC history monitored during charging by the k.sup.th reference current I.sub.k.
(42) A third voltage profile 330 shown in
(43) Referring to the third voltage profile 330, the control unit 140 monitors the battery voltage, the battery current and the SOC at a preset time interval (for example, 0.001 sec) during the constant-current charging using the k.sup.th reference current I.sub.k. The control unit 140 may change from the constant-current charging using the k.sup.th reference current I.sub.k to constant-voltage charging using the k.sup.th reference voltage V.sub.k in response to the battery voltage having reached the k.sup.th reference voltage V.sub.k before the SOC of the battery B reaches the k.sup.th reference SOC S.sub.k. Accordingly, the battery B is charged at constant-voltage of the k.sup.th reference voltage V.sub.k from the time when the battery voltage reaches the k.sup.th reference voltage V.sub.k to the time when the SOC of the battery B reaches the k.sup.th reference SOC S.sub.k. For example, after the constant-current charging using the second reference current I.sub.2 is performed over the voltage range of V.sub.1V.sub.2, the constant-voltage charging of the battery B is performed with the same charge voltage as the k.sup.th reference voltage V.sub.2 until the SOC of the battery B reaches the second reference SOC S.sub.2. During the constant-voltage charging using the k.sup.th reference voltage range V.sub.k, the battery voltage gradually increases and the battery current gradually reduces. During the constant-voltage charging using the k.sup.th reference voltage range V.sub.k, the control unit 140 may monitor the battery voltage, the battery current and the SOC at the predetermined time interval.
(44) The control unit 140 may update the k.sup.th reference current I.sub.k of the charge map including the current profile 210 of
(45) Specifically, the control unit 140 may determine at least one of an average voltage or an average SOC of the k.sup.th reference voltage curve. The average voltage of the k.sup.th reference voltage curve is an average battery voltage over the k.sup.th reference voltage range V.sub.k in the first voltage profile 310. The average SOC of the k.sup.th reference voltage curve is an average SOC over the k.sup.th reference voltage range V.sub.k in the first voltage profile 310.
(46) The control unit 140 may determine at least one of an average voltage or an average SOC of the k.sup.th measured voltage curve. The average voltage of the k.sup.th measured voltage curve is an average battery voltage over the k.sup.th reference voltage range V.sub.k in the third voltage profile 330. The average SOC of the k.sup.th measured voltage curve is an average SOC over the k.sup.th reference voltage range V.sub.k in the third voltage profile 330.
(47) Subsequently, the control unit 140 may update the k.sup.th reference current I.sub.k of the charge map based on at least one of the average voltage or the average SOC of the k.sup.th reference voltage curve and at least one of the average voltage or the average SOC of the k.sup.th measured voltage curve.
(48) The control unit 140 may update the k.sup.th reference current I.sub.k based on a first ratio (less than 1) of the average SOC of the k.sup.th measured voltage curve to the average SOC of the k.sup.th reference voltage curve. For example, the control unit 140 may update the k.sup.th reference current I.sub.k to be equal to the multiplication of the first ratio and the k.sup.th reference current I.sub.k.
(49) Alternatively, the control unit 140 may update the k.sup.th reference current I.sub.k based on a second ratio (less than 1) of the average voltage of the k.sup.th reference voltage curve to the average voltage of the k.sup.th measured voltage curve. For example, the control unit 140 may update the k.sup.th reference current I.sub.k to equal to the multiplication of the second ratio and the k.sup.th reference current I.sub.k.
(50) Alternatively, the control unit 140 may update the k.sup.th reference current I.sub.k based on the first ratio and the second ratio. For example, the control unit 140 may update the k.sup.th reference current I.sub.k to be equal to the multiplication of the first ratio, the second ratio and the k.sup.th reference current I.sub.k.
(51) Alternatively, the control unit 140 may update the k.sup.th reference current I.sub.k based on a third ratio (less than 1) of a SOC of interest to the k.sup.th reference SOC S.sub.k. For example, the control unit 140 may update the k.sup.th reference current I.sub.k to be equal to the multiplication of the third ratio and the k.sup.th reference current I.sub.k. The SOC of interest may be equal to the SOC Uk of the battery B at the time when the battery voltage reaches the k.sup.th reference voltage V.sub.k.
(52) Meanwhile, the charging procedure according to the battery management method described above is often not performed in part of the reference voltage range V.sub.1V.sub.4. For example, referring to
(53) To solve the above-described problem, in case that charging starts when the battery voltage is larger than V.sub.0, or charging ends when the battery voltage is smaller than V.sub.4, the control unit 140 may update the reference current associated with each of the remaining reference voltage ranges based on the update information of at least one reference voltage range in which the measured voltage curve is obtained among all the reference voltage ranges V.sub.1V.sub.4.
(54) Assume that only the k.sup.th reference current I.sub.k corresponding to the k.sup.th reference voltage range V.sub.k was updated to I.sub.1k according to the above-described battery management method. The control unit 140 may determine a ratio of I.sub.1k to I.sub.k, and update each of the remaining reference currents based on the determined ratio. For example, when the second reference current I.sub.2 is updated from 120 A to 100 A, the control unit 140 may update the first reference current I.sub.1, the third reference current I.sub.3 and the fourth reference current I.sub.4 by multiplying each of the first reference current I.sub.1, the third reference current I.sub.3 and the fourth reference current I.sub.4 by 100/120=.
(55) Assume that each of i and j is a natural number, ij, i is 2 or greater or j is less than n=4. Only the i.sup.th to j.sup.th reference currents I.sub.iI.sub.j corresponding to the i.sup.th to j.sup.th reference voltage ranges V.sub.iV.sub.j are updated to I.sub.1iI.sub.1j according to the battery management method (see
(56)
(57) In the above equation, x is a natural number of n or smaller except i to j, I.sub.x is the reference current before update, and I.sub.1x is the updated reference current. .sub.avg is an average ratio of the i.sup.th to j.sup.th updated reference currents I.sub.1iI.sub.1j to the i.sup.th to j.sup.th reference currents I.sub.iI.sub.j.
(58) In an example, where i=2, j=3, n=4, i.sub.1=150 A, i.sub.2=120 A, i.sub.3=110 A, i.sub.4=90 A, i.sub.12=100 A, i.sub.13=95 A, i.sub.11=i.sub.11/(32+1){i.sub.12/i.sub.2+i.sub.13/i.sub.3} A=i.sub.1{ 100/120+ 95/110} A127 A, i.sub.14=i.sub.41/(32+1){i.sub.12/i.sub.2+i.sub.13/i.sub.3} A=i.sub.4{ 100/120+ 95/110} A76 A.
(59)
(60) Referring to
(61) In step S420, the control unit 140 commands constant-current charging using the k.sup.th reference current I.sub.k to the charging circuit 50. Accordingly, the charging circuit 50 starts the constant-current charging using the k.sup.th reference current I.sub.k by supplying the k.sup.th reference current I.sub.k as the charge current to the battery B.
(62) In step S430, the control unit 140 determines whether the battery voltage reached the k.sup.th reference voltage V.sub.k before the battery SOC reaches the k.sup.th reference SOC S.sub.k. When a value of the step S430 is YES, step S450 is performed. When the value of the step S430 is NO, the step S430 is performed again after the lapse of a predetermined time.
(63) In step S440, the control unit 140 commands constant-voltage charging using the k.sup.th reference voltage V.sub.k to the charging circuit 50. Accordingly, the charging circuit 50 terminates the constant-current charging using the k.sup.th reference current I.sub.k, and at the same time, supplies the charge voltage that is equal to the k.sup.th reference voltage V.sub.k to the battery B.
(64) In the step S450, the control unit 140 determines whether the battery SOC reached the k.sup.th reference SOC S.sub.k. When a value of the step S450 is YES, step S460 is performed. When the value of the step S450 is NO, the step S450 is performed again after the lapse of a predetermined time.
(65) In the step S460, the control unit 140 determines the k.sup.th measured voltage curve. The k.sup.th measured voltage curve indicates the correlation between the battery voltage and the battery SOC over the charging period of the constant-current charging using the k.sup.th reference current I.sub.k.
(66) In step S470, the control unit 140 determines whether the voltage range of the k.sup.th measured voltage curve is equal to the k.sup.th reference voltage range V.sub.k. When a value of the step S470 is YES, step S480 is performed. When the value of the step S470 is NO, step S490 may be performed. For example, when constant-current charging with the first reference current I.sub.1 is performed from the time when the battery voltage is higher than V.sub.0 and lower than V.sub.1, the value of the step S470 is NO.
(67) In the step S480, the control unit 140 updates the charge map based on the k.sup.th reference voltage curve and the k.sup.th measured voltage curve.
(68) In the step S490, the control unit 140 determines whether the charge index k is equal to n. That is, the control unit 140 determines whether charging for the last reference voltage range V.sub.n defined by the charge map was completed. When a value of the step S490 is NO, the charge index k may be increased by 1 in the step S492, and the method may return to the step S430. When the value of the step S490 is YES, the method of
(69) The method of
(70)
(71) In step S510, the control unit 140 calculates the average ratio of the i.sup.th to j.sup.th updated reference currents I.sub.1iI.sub.1j to the i.sup.th to j.sup.th reference currents I.sub.iI.sub.j (see .sub.avg of the above equation).
(72) In step S520, the control unit 140 updates each of the remaining reference currents except the i.sup.th to j.sup.th reference currents I.sub.1I.sub.j among the first to n.sup.th reference currents I.sub.1I.sub.n by multiplying each of the remaining reference currents by the average ratio.
(73) The embodiments of the present disclosure described hereinabove are not implemented only through the apparatus and method, and may be implemented through programs that perform functions corresponding to the configurations of the embodiments of the present disclosure or recording media having the programs recorded thereon, and such implementation may be easily achieved by those skilled in the art from the disclosure of the embodiments previously described.
(74) While the present disclosure has been hereinabove described with regard to a limited number of embodiments and drawings, the present disclosure is not limited thereto and it is obvious to those skilled in the art that various modifications and changes may be made thereto within the technical aspects of the present disclosure and the equivalent scope of the appended claims.
(75) Additionally, as many substitutions, modifications and changes may be made to the present disclosure described hereinabove by those skilled in the art without departing from the technical aspects of the present disclosure, the present disclosure is not limited by the above-described embodiments and the accompanying drawings, and some or all of the embodiments may be selectively combined to allow various modifications.