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WO2001048496A1 - Battery disconnect method and system - Google Patents

Battery disconnect method and system Download PDF

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Publication number
WO2001048496A1
WO2001048496A1 PCT/SE2000/002685 SE0002685W WO0148496A1 WO 2001048496 A1 WO2001048496 A1 WO 2001048496A1 SE 0002685 W SE0002685 W SE 0002685W WO 0148496 A1 WO0148496 A1 WO 0148496A1
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WO
WIPO (PCT)
Prior art keywords
battery
output voltage
denotes
reference voltage
measure
Prior art date
Application number
PCT/SE2000/002685
Other languages
French (fr)
Inventor
Gunder Karlsson
Nils Salomonsson
Original Assignee
Emerson Energy Systems Ab
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Emerson Energy Systems Ab filed Critical Emerson Energy Systems Ab
Priority to AU25710/01A priority Critical patent/AU2571001A/en
Publication of WO2001048496A1 publication Critical patent/WO2001048496A1/en

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Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/165Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values
    • G01R19/16533Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values characterised by the application
    • G01R19/16538Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values characterised by the application in AC or DC supplies
    • G01R19/16542Indicating that current or voltage is either above or below a predetermined value or within or outside a predetermined range of values characterised by the application in AC or DC supplies for batteries
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J7/00Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries
    • H02J7/0029Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries with safety or protection devices or circuits
    • H02J7/0031Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries with safety or protection devices or circuits using battery or load disconnect circuits
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/385Arrangements for measuring battery or accumulator variables
    • G01R31/386Arrangements for measuring battery or accumulator variables using test-loads
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J7/00Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries
    • H02J7/0029Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries with safety or protection devices or circuits
    • H02J7/00306Overdischarge protection

Definitions

  • the present invention relates to a battery disconnect method and system and also to a method and apparatus for determining a disconnect reference voltage.
  • Batteries are often used to provide back-up of mains supplies.
  • Important equipment such as telecommunication equipment, computers, hospital equipment etc. are often powered by special power systems that can provide electrical power even if the mains supply fails.
  • power systems are provided with (rechargeable) batteries that supply the necessary electrical power in case the mains supply fails.
  • batteries should not be overdischarged.
  • the lead-acid battery should not be discharged beyond a certain safe limit. Overdischarge of such batteries may cause the battery to become non-functional and may even cause external danger. In order to avoid this situation, the loads must be disconnected from the battery when the limit has been reached.
  • a complication is that the safe limit or disconnect voltage depends on the rate at which the battery is discharged. For example, if a battery is di en- sioned for a backup time of 10 minutes, it is safe to disconnect the loads at a battery output voltage as low as 1.6 V per battery cell. On the other and, if the battery is intended for a backup time of 200 hours or more, the disconnect voltage has to be set at 1.9 V per cell or more. Thus, a low discharge rate requires a higher disconnect voltage than a high discharge rate. This means that if a single safe limit acceptable for all situations is to be used, it must be set high enough to cope with low discharge rates. However, this would be a non-optimal utilization of the battery in cases where it is known that the discharge rate will be high.
  • a solution to this dilemma described in [1] sets the safe disconnect voltage to a value that is inversely proportional to the measured discharge current.
  • a major drawback of this method is that it requires measurement of the discharge current, which is a complicated and undesirable feature.
  • Another drawback of the known method is that the disconnect control system requires configuration for each battery capacity (Ah) due to the discharge current based disconnect voltage calculation method.
  • Reference [2] describes a fast charge termination method, in which the first time derivative of the battery output voltage is used to determine a charge teraiination point.
  • F ⁇ rtherrnore the second time derivative of the battery output voltage is used to deter ⁇ iine the concavity of the battery output voltage in order to eliminate erroneous voltage peaks near the start of a charge cycle.
  • An object of the present invention is to provide a configuration- free or essentially configuration-free battery disconnect method and system that are not based on current measurements.
  • Another object is a method and apparatus for determining a battery discon- nect reference voltage that are not based on current measurements.
  • the present invention is based on the discovery that the output voltage of a battery has a parabolic time variation for each specific discharge rate. This fact may be used to calculate a measure that is independent of discharge rate from the first and second time derivatives of the battery output voltage. This measure is used to determine a dynamic disconnect reference voltage. Since the disconnect reference voltage is based on a measure that is independent of the battery capacity, this disconnect system has the advantage of being configuration-free.
  • FIG. 1 is a block diagram of an exemplary embodiment of a battery disconnect system in accordance with the present invention
  • Fig. 2 is a time diagram illustrating different discharge curves for a battery
  • Fig. 3 is a block diagram of an exemplary embodiment of a battery disconnect unit suitable for the battery disconnect system in fig. 1;
  • Fig. 4 is a flow chart of an exemplary embodiment of the battery disconnect method in accordance with the present invention.
  • Fig. 1 is a block diagram of an exemplary embodiment of a battery disconnect system in accordance with the present invention.
  • a mains supply 10 with a rectifier is connected to one or several loads 12. If the mains supply fails, a backup battery 14 will temporarily replace mains supply 10 over a normally closed switch 16.
  • Fig. 2 is a time diagram illustrating different discharge curves for a battery. It is helpful to study these discharge curves before disconnect control unit 18 is described in detail.
  • Fig. 2 illustrates 3 different discharge curves, namely a fast discharge curve Cl, a medium fast discharge curve C2 and a slow discharge curve C3.
  • the discharge rate is assumed to be constant in each curve.
  • the output voltage U drops more rapidly for higher discharge rates.
  • a general discharge curve may be represented by the parabola:
  • tEFF a measure t, called the effective discharge rate tEFF below, that is independent of the actual discharge curve ("width" coefficient A).
  • the parameter tEFF relates to the extent a battery has been discharged at the present discharge rate. If there are changes in the load during battery operation, the discharge curve will also change. For instance, if the load increases from a low value to a much higher value, the discharge curve will be "depressed” and have a higher curvature. In this case tEF will in fact decrease, although the total elapsed time has increased. Thus, tEFF may be considered as a measure of discharge rate.
  • disconnect reference voltage UREF may be expressed in accordance with the model:
  • FIG. 3 is a block diagram of an exemplary embodiment of a battery disconnect unit suitable for the battery disconnect system in fig. 1.
  • the battery output voltage U is forwarded to a sampler and A/D converter 30 on input line 20. The reason for the sampling and A/D conversion is that today most batteries for backup are already provided with computational power in the form of a micro processor.
  • this micro processor may be used to perform the essential functions of disconnect control unit 18.
  • the battery voltage U is sampled at a sampling frequency of 0.1 - 100 Hz.
  • the digitized voltage signal is forwarded to a differentiator 32 that forms a measure of the time derivative U' of output voltage U, for example the difference between two neighboring samples.
  • the time derivative U' is forwarded to another differentiator 34 that forms a measure of the second time derivative U" of output voltage U, for example the difference between two neighboring samples of the first derivative U ⁇
  • An inverter 36 inverts U", and the result is multiplied by U' in a multiplier 38.
  • the product from multiplier 38 is forwarded to a block 40 forming the logarithm of its input signal.
  • Another multiplier 42 multiplies this logarithm by a constant B from a memory cell 44.
  • An adder 46 adds the product to a further constant C stored in a memory cell 48.
  • the resulting disconnect reference signal UREF is compared to the current battery output signal U in a comparator 50. " When the battery output voltage
  • control signal line 22 will trigger switch 16 in fig. 1 to disconnect battery 14 from load 12.
  • Fig. 4 is a flow chart of an exemplary embodiment of the battery disconnect method in accordance with the present invention.
  • Step SI performs an A/D conversion of battery output voltage U.
  • Step S2 differentiates the voltage with respect to time.
  • Step S3 performs a second time differentiation.
  • Step S4 determines tEFF.
  • Step S5 forms UREF from tEFF.
  • Step S6 determines whether U>UREF. If not, step S7 disconnects the loads from the battery. Otherwise the procedure returns to step SI to digitize the next sample of battery output voltage U.
  • all loads are simultaneously disconnected from the battery. However, sometimes it would be preferable to disconnect the loads one by one or to disconnect different groups of loads separately.
  • sampling procedure Another possible modification is the sampling procedure.
  • the described embodiment has a constant sampling rate.
  • An alternative is to let the battery output voltage level trigger when samples of U' and U" should be determined.
  • the present invention has been described with reference to lead-acid batteries. However, the same principles may also be applied to other batteries with essentially parabolic discharge curves. Examples are Lithium ion batteries and Manganese dioxide - Zinc batteries.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Secondary Cells (AREA)
  • Charge And Discharge Circuits For Batteries Or The Like (AREA)

Abstract

A battery disconnect system includes means (30) for measuring the current output voltage (U) of a battery. A differentiator (32) determines the first time derivative of the output voltage. A second differentiator (34) determines the second time derivative of the output voltage. A reference voltage (UREF) is calculated from the first and second derivatives. Load is disconnected from the battery when the output voltage falls below the reference voltage.

Description

BATTERY DISCONNECT METHOD AND SYSTEM
TECHNICAL FIELD
The present invention relates to a battery disconnect method and system and also to a method and apparatus for determining a disconnect reference voltage.
BACKGROUND
Batteries are often used to provide back-up of mains supplies. Important equipment, such as telecommunication equipment, computers, hospital equipment etc. are often powered by special power systems that can provide electrical power even if the mains supply fails. Typically such power systems are provided with (rechargeable) batteries that supply the necessary electrical power in case the mains supply fails. In general such batteries should not be overdischarged. In particular the most common battery, the lead-acid battery, should not be discharged beyond a certain safe limit. Overdischarge of such batteries may cause the battery to become non-functional and may even cause external danger. In order to avoid this situation, the loads must be disconnected from the battery when the limit has been reached.
A complication is that the safe limit or disconnect voltage depends on the rate at which the battery is discharged. For example, if a battery is di en- sioned for a backup time of 10 minutes, it is safe to disconnect the loads at a battery output voltage as low as 1.6 V per battery cell. On the other and, if the battery is intended for a backup time of 200 hours or more, the disconnect voltage has to be set at 1.9 V per cell or more. Thus, a low discharge rate requires a higher disconnect voltage than a high discharge rate. This means that if a single safe limit acceptable for all situations is to be used, it must be set high enough to cope with low discharge rates. However, this would be a non-optimal utilization of the battery in cases where it is known that the discharge rate will be high. A solution to this dilemma described in [1] sets the safe disconnect voltage to a value that is inversely proportional to the measured discharge current. However, a major drawback of this method is that it requires measurement of the discharge current, which is a complicated and undesirable feature. Another drawback of the known method is that the disconnect control system requires configuration for each battery capacity (Ah) due to the discharge current based disconnect voltage calculation method. These drawbacks have meant that the method has not been widely used.
Reference [2] describes a fast charge termination method, in which the first time derivative of the battery output voltage is used to determine a charge teraiination point. F ιrtherrnore, the second time derivative of the battery output voltage is used to deterπiine the concavity of the battery output voltage in order to eliminate erroneous voltage peaks near the start of a charge cycle.
SUMMARY
An object of the present invention is to provide a configuration- free or essentially configuration-free battery disconnect method and system that are not based on current measurements.
Another object is a method and apparatus for determining a battery discon- nect reference voltage that are not based on current measurements.
These objects are achieved in accordance with the attached claims.
Briefly, the present invention is based on the discovery that the output voltage of a battery has a parabolic time variation for each specific discharge rate. This fact may be used to calculate a measure that is independent of discharge rate from the first and second time derivatives of the battery output voltage. This measure is used to determine a dynamic disconnect reference voltage. Since the disconnect reference voltage is based on a measure that is independent of the battery capacity, this disconnect system has the advantage of being configuration-free.
BRIEF DESCRIPTION OF THE DRAWINGS
The invention, together with further objects and advantages thereof, may best be understood by making reference to the following description taken together with the accompanying drawings, in which: Fig. 1 is a block diagram of an exemplary embodiment of a battery disconnect system in accordance with the present invention;
Fig. 2 is a time diagram illustrating different discharge curves for a battery;
Fig. 3 is a block diagram of an exemplary embodiment of a battery disconnect unit suitable for the battery disconnect system in fig. 1; and
Fig. 4 is a flow chart of an exemplary embodiment of the battery disconnect method in accordance with the present invention.
DETAILED DESCRIPTION
Fig. 1 is a block diagram of an exemplary embodiment of a battery disconnect system in accordance with the present invention. A mains supply 10 with a rectifier is connected to one or several loads 12. If the mains supply fails, a backup battery 14 will temporarily replace mains supply 10 over a normally closed switch 16. A disconnect control unit 18, which will be further described with reference to fig. 3, measures the battery output voltage U over an input line 20 and determines a disconnect reference voltage that is compared to this voltage U. If battery output voltage U falls below this disconnect reference voltage, unit 18 will disconnect loads 12 from battery 14 by opening switch 16 over a control line 22 (In the following description switches 16A-C and control lines 22A-C are temporarily ignored; switches 16A-C may simply be consid- ered as permanently closed). Suitable switches are contactors, circuit breakers or semi-conductor switches.
Fig. 2 is a time diagram illustrating different discharge curves for a battery. It is helpful to study these discharge curves before disconnect control unit 18 is described in detail. Fig. 2 illustrates 3 different discharge curves, namely a fast discharge curve Cl, a medium fast discharge curve C2 and a slow discharge curve C3. The discharge rate is assumed to be constant in each curve. As can be seen from this family of discharge curves, the output voltage U drops more rapidly for higher discharge rates. However, surprisingly it has been found that the entire family of curves may accurately be represented by a set of parabolas. Thus, a general discharge curve may be represented by the parabola:
U(t) = At2 + UQ
where A, Uo are constants. Here Uo represents the common starting point for all curves (the output voltage of a fully charged battery), while A represents the "width" of each parabola. Differentiating this equation twice gives:
U t) = 2At
U"(t) = 2A
Eliminating A and solving for t gives:
,=EX1_
U"(t)
Thus, from the parabolic model described above it is possible to obtain a measure t, called the effective discharge rate tEFF below, that is independent of the actual discharge curve ("width" coefficient A). The parameter tEFF relates to the extent a battery has been discharged at the present discharge rate. If there are changes in the load during battery operation, the discharge curve will also change. For instance, if the load increases from a low value to a much higher value, the discharge curve will be "depressed" and have a higher curvature. In this case tEF will in fact decrease, although the total elapsed time has increased. Thus, tEFF may be considered as a measure of discharge rate.
The recommendations for safe disconnect voltages vary between different lead- acid battery manufacturers, but the table below; gives an overview of the recommended values.
Figure imgf000007_0001
Standard curve fitting techniques may be used to have these recommendations in a more convenient form. A logarithmic relation has been found to be suitable (However, the relation between discharge rate and disconnect voltage is not particularly critical, many other models are also possible.). Thus, the disconnect reference voltage UREF may be expressed in accordance with the model:
UREF = B - log( EFF) + C XT tEFF - U"
where B and C are constants. This disconnect reference voltage curve is illustrated by the dashed line in fig. 2. If "log" represents the natural logarithm, suitable values for B and C are, for example, 0.038 and 1.70, respectively. These values are for a single lead-acid battery cell. For several cells UREF is multiplied by the number of cells. Fig. 3 is a block diagram of an exemplary embodiment of a battery disconnect unit suitable for the battery disconnect system in fig. 1. The battery output voltage U is forwarded to a sampler and A/D converter 30 on input line 20. The reason for the sampling and A/D conversion is that today most batteries for backup are already provided with computational power in the form of a micro processor. In the illustrated embodiment this micro processor may be used to perform the essential functions of disconnect control unit 18. Typically the battery voltage U is sampled at a sampling frequency of 0.1 - 100 Hz. The digitized voltage signal is forwarded to a differentiator 32 that forms a measure of the time derivative U' of output voltage U, for example the difference between two neighboring samples. The time derivative U' is forwarded to another differentiator 34 that forms a measure of the second time derivative U" of output voltage U, for example the difference between two neighboring samples of the first derivative U\ An inverter 36 inverts U", and the result is multiplied by U' in a multiplier 38. The product from multiplier 38 is forwarded to a block 40 forming the logarithm of its input signal. Another multiplier 42 multiplies this logarithm by a constant B from a memory cell 44. An adder 46 adds the product to a further constant C stored in a memory cell 48. The resulting disconnect reference signal UREF is compared to the current battery output signal U in a comparator 50. "When the battery output voltage
U falls below the disconnect reference voltage UREF, control signal line 22 will trigger switch 16 in fig. 1 to disconnect battery 14 from load 12.
Fig. 4 is a flow chart of an exemplary embodiment of the battery disconnect method in accordance with the present invention. Step SI performs an A/D conversion of battery output voltage U. Step S2 differentiates the voltage with respect to time. Step S3 performs a second time differentiation. Step S4 determines tEFF. Step S5 forms UREF from tEFF. Step S6 determines whether U>UREF. If not, step S7 disconnects the loads from the battery. Otherwise the procedure returns to step SI to digitize the next sample of battery output voltage U. In the exemplary embodiments of the invention described above, all loads are simultaneously disconnected from the battery. However, sometimes it would be preferable to disconnect the loads one by one or to disconnect different groups of loads separately. One situation in which this is appropriate is when the loads are of different importance ("priority loads"). In this case it would be desirable to have the high priority loads connected as long as possible. Quite often such high priority loads are low power loads, which has been a problem with previously known battery backup systems, since low power loads would require a high disconnect voltage, which would make poor use of the battery. With the present invention, however, it is possible to meet both objectives. The disconnect reference voltage UREF will still be the proper disconnect voltage immediately after the change^ of discharge curve. Thus, by providing different loads with different switches and by associating each switch with a different constant C, it is possible to individually disconnect loads to guarantee that high priority loads will be the last to be switched off. This embodiment is illustrated by switches 16A-C and control lines 22A-C in fig. 1.
Another possible modification is the sampling procedure. The described embodiment has a constant sampling rate. An alternative is to let the battery output voltage level trigger when samples of U' and U" should be determined.
Furthermore, the present invention has been described with reference to lead-acid batteries. However, the same principles may also be applied to other batteries with essentially parabolic discharge curves. Examples are Lithium ion batteries and Manganese dioxide - Zinc batteries.
It will be understood by those skilled in the art that various modifications and changes may be made to the present invention without departure from the scope thereof, which is defined by the appended claims. REFERENCES
[1] U.S. Patent No. 4 086 525 (Ibsen et al.)
[2] U.S. Patent No. 5 563 496 (McClure)

Claims

1. A battery disconnect method, characterized by measuring the current output voltage of a battery; dete_rmining a first measure representing the first time derivative of said output voltage; deteπiύning a second measure representing the second time derivative of said output voltage; calculating a reference voltage from said first and second measures; and disconnecting load from said battery when said output voltage falls below said reference voltage.
2. The method of claim 1, characterized by disconnecting at least one of the loads from said battery.
3. The method of claim 2, characterized by disconnecting all loads from said battery.
4. The method of any of claims 1-3, characterized by calculating said refer- ence voltage in accordance with the formula:
Figure imgf000011_0001
where UREF denotes said reference voltage,
U' denotes said first measure, U" denotes said second measure, log denotes the logarithm function, and B, C denote' predetermined constants.
5. A battery disconnect system, characterized by means (30) for measuring the current output voltage of a battery; means (32) for determining a first measure representing the first time derivative of said output voltage; means (34) for determining a second measure representing the second time derivative of said output voltage; means (36-46) for calculating a reference voltage from said first and second measures; and means (16, 22, 50) for disconnecting load from said battery when said output voltage falls below said reference voltage.
6. The system of claim 5, characterized by means (16, 16A-C) for disconnecting at least one of the loads from said battery.
7. The system of claim 6, characterized by means (16) for disconnecting all loads from said battery.
8. The system of any of claims 5-7, characterized by means (36-46) for calculating said reference voltage in accordance with the formula:
Figure imgf000012_0001
where
UREF denotes said reference voltage, U' denotes said first measure,
U" denotes said second measure, log denotes the logarithm function, and
B, C denote predetermined constants.
9. A method of determining a battery disconnect reference voltage, characterized by measuring the current output voltage of a battery; determining a first measure representing the first time derivative of said 5 output voltage; deterrr ning a second measure representing the second time derivative of said output voltage; calculating said reference voltage from said first and second measures.
10 10. The method of claim 9, characterized by calculating said reference voltage in accordance with the formula:
c
Figure imgf000013_0001
15 where
UREF denotes said reference voltage,
U' denotes said first measure,
U" denotes said second measure, log denotes the logarithm, function, and -0 B, C denote predetermined constants.
11. An apparatus for determining a battery disconnect reference voltage, characterized by means (30) for measuring the current output voltage of a battery; 5 means (32) for deterr_α_-ning a first measure representing the first time derivative of said output voltage; means (34) for determining a second measure representing the second time derivative of said output voltage; means (36-46) for calculating said reference voltage from said first and 0 second measures.
12. The apparatus of claim 11, characterized by means (36-46) for calculating said reference voltage in accordance with the formula:
Figure imgf000014_0001
where
UREF denotes said reference voltage, U' denotes said first measure, U" denotes said second measure, log denotes the logarithm function, and B, C denote predetermined constants.
PCT/SE2000/002685 1999-12-28 2000-12-28 Battery disconnect method and system WO2001048496A1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
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SE9904817A SE9904817L (en) 1999-12-28 1999-12-28 Battery disconnection procedure and system
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP3429056A1 (en) * 2017-02-13 2019-01-16 O2Micro, Inc. Systems and methods for managing a battery pack

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3911349A (en) * 1974-11-07 1975-10-07 Esb Inc Battery charger
EP0566264A1 (en) * 1992-04-16 1993-10-20 International Business Machines Corporation Battery operated computer having improved battery gauge and system for measuring battery charge
US5278509A (en) * 1992-02-03 1994-01-11 At&T Bell Laboratories Method for monitoring battery discharge by determining the second derivative of battery voltage over time
US5432452A (en) * 1992-08-05 1995-07-11 Merlin Gerin Device for detecting failure of battery cells by comparing the second derivative of battery voltage overtime with a preset threshold
WO1998054588A1 (en) * 1997-05-27 1998-12-03 Koninklijke Philips Electronics N.V. Battery-powered electrical device

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3911349A (en) * 1974-11-07 1975-10-07 Esb Inc Battery charger
US5278509A (en) * 1992-02-03 1994-01-11 At&T Bell Laboratories Method for monitoring battery discharge by determining the second derivative of battery voltage over time
EP0566264A1 (en) * 1992-04-16 1993-10-20 International Business Machines Corporation Battery operated computer having improved battery gauge and system for measuring battery charge
US5432452A (en) * 1992-08-05 1995-07-11 Merlin Gerin Device for detecting failure of battery cells by comparing the second derivative of battery voltage overtime with a preset threshold
WO1998054588A1 (en) * 1997-05-27 1998-12-03 Koninklijke Philips Electronics N.V. Battery-powered electrical device

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP3429056A1 (en) * 2017-02-13 2019-01-16 O2Micro, Inc. Systems and methods for managing a battery pack
US10886753B2 (en) 2017-02-13 2021-01-05 O2Micro Inc. Systems and methods for managing a battery pack
US11362522B2 (en) 2017-02-13 2022-06-14 O2Micro Inc. Systems and methods for managing a battery pack

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SE9904817L (en) 2001-06-29
SE9904817D0 (en) 1999-12-28

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