CA1052862A - Battery state of charge gauge - Google Patents

Battery state of charge gauge

Info

Publication number
CA1052862A
CA1052862A CA244,217A CA244217A CA1052862A CA 1052862 A CA1052862 A CA 1052862A CA 244217 A CA244217 A CA 244217A CA 1052862 A CA1052862 A CA 1052862A
Authority
CA
Canada
Prior art keywords
signal
battery
charge
state
current
Prior art date
Legal status (The legal status 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 status listed.)
Expired
Application number
CA244,217A
Other languages
French (fr)
Inventor
Robert F. Bourke
Clinton C. Christianson
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Gould Electronics Inc
Original Assignee
Gould Inc
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 Gould Inc filed Critical Gould Inc
Application granted granted Critical
Publication of CA1052862A publication Critical patent/CA1052862A/en
Expired legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/14Measuring resistance by measuring current or voltage obtained from a reference source
    • 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]
    • G01R31/389Measuring internal impedance, internal conductance or related variables

Abstract

ABSTRACT OF THE DISCLOSURE
A circuit for detecting and indicating the actual state of charge of a storage battery in response to signals sampled from various points in the circuit powered by the battery. Such circuit is adapted to calculate the open circuit voltage of the battery, it being realized that the open circuit voltage is directly proportional to the battery state of charge. A function generator is constructed to simulate the characteristic curve of the battery relating the internal resistance to the percent charge. Feedback is provided from the output of the indicating circuitry to the bias point of the function generator for causing the generator to produce a signal related to the actual internal resistance of the battery. The circuit is adapted to provide a reliable indication of the amount of usable energy remaining in the battery, irrespective of the conditions under which the battery was discharged.

Description

~o~
This invention relates to battery powered systems and more particularly to circuits for detecting and indicating the actual state of charge of the battery powering such systems.
In battery powered systems it is desirable to provide some indication of the condition of the battery as a measure of the amount of usable energy remaining and as a guide to the need for a recharge. Systems utilized in battery powered systems known heretofore have not been altogether satisfactory in this regard. One known approach utilizes a coulometer, a device for integrating battery current through a shunt over a relatively long time interval (such as hours or days). In effect, such systems merely indicate the difference between ampere hours into and out of the battery, and as such are incapable of responding to factors such as the rate of discharge which have a definite effect upon the amount of usable energy remaining in a battery. As an alternate indicator, the open circuit voltage of a battery may be measured to provide an excellent indication of the state of charge thereof.
However, measuring such voltage to indicate state of charge is impractical for two reasons: (a) battery current must be zero when the voltage is measured, thus preventing the use of this technique during circuit operation and (b) an expanded scale voltmeter is required because of the relatively small change in terminal voltage for a decided change in battery conditions.

~, A

~s~2 With the foregoing in mind, according to the present invention, there i5 provided a state of charge measuring circuit for use with an electrical battery comprising in combination, means for producing a first signal proportional to battery current, means for generating a second signal proportional to the internal resistance of the battery at its actual state of charge, means for multi-plying said first and second signals to produce a product signal, means for producing a third signal proportional to the actual terminal voltage of the battery, means for adding the third signal to the product signal thereby to produce an output signal which is a measure of the actual state of charge of the battery.
The invention further provides a state of charge measuring circuit for use with an electrical battery comprising in combination, means for producing a first signal proportional to battery current, means responsive to a feedback signal for generating a second signal simulating the internal resistance of the battery, means for multiplying said first and second signals to produce a product signal, means for producing a third signal related to the actual terminal voltage of the battery, means for adding the third signal to said product signal thereby to produce an output signal, said output signal being coupled to said generating means to serve as said feedback signal so that the second signal is proportional to the internal resistance of the battery at its actual state of charge, whereby the level of said output signal is a measure of the state of charge of the battery.

Other objects and advantages will become apparent from the following detailed description, taken in conjunction with the drawings, in which:
FIGURE 1 is a graph illustrating the open circuit voltage and internal resistance of a battery as a function of percent charge; and FIGURE 2 is a circuit diagram of a battery state of charge gauge exemplifying the present invention.
While the invention will be described in connection with a preferred embodiment, it will be under-stood that there is no intent to limit it to that embodiment;
but, on the contrary, the intent is to cover all alter-natives, modifications and equivalents included within the spirit and scope of the invention as defined by the appended claims.
Turning now to the drawings, and particularly to the graph of Fig. 1, it is shown that the open circuit voltage of a battery is directly proportional to the percent charge thereof. Thus, if such open circuit voltage were measured on an expanded scale voltmeter, a precise indication of the percent charge would be provided. This, of course, is impossible when the circuit is providing power.
It is well known, however, that the open circuit voltage of a battery may be calculated if the battery current and internal resistance are known, using the following equation:

Eopen term (1) ~ 3 ~o~
While the terminal voltage and actual battery current may be determined with relative ease in a given circuit, the internal resistance term is not easily derived.
Knowing, however, that both the internal resistance and the open circuit voltage of a battery are determinable functions of the percent charge of the battery, we have found in accordance with the present invention that a circuit can be constructed incorporating these functions and usable with measurable or calculatable factors for deriving the actual percent charge of the battery.
Turning now to Fig. 2, there is shown an exemplary embodiment of a circuit constructed in accordance with the invention. Initially, it should be noted that the embodiment disclosed herein is particularly suitable for use with the Electrically Propelled Vehicle described and claimed in our Canadian application, Serial No. 244,219, filed concurrently herewith and assigned to the same assignee as the present invention. Accordingly, portions of the specific circuitry disclosed herein for computing the battery current are complimentary 3a d ~0~2 to the circuitry of that vehicle. Accordingly, for illustration herein, corresponding input terminals 21-25 of the battery state of charge gauge have been given designation corresponding with the battery state of charge gauge 260 shown in Fig. 3 of the aforementioned application. It should be recognized, however, that alternate circuit techniques may be used, in keeping with the present invention, to produce a signal proportional to the battery current.
The above referenced patent application discloses a motor control for a d. c. motor operable in a first mode where the armature current 10 is duty cycle controlled and in a second mode where the armature is coupled directly to the battery. In addition to armature current, other major components of battery current present in that system include the motor field current, which in the last mentioned mode becomes negligible, and the current drawn by the control circuit. The circuitry 20 is adapted to sense and sum these currents. To that end, a first input 21 labeled n is in the form of a square wave indicating the operating duty cycle of the control. This term is used as a multiplier for the average armature current when the armature is being duty cycle controlled. A second input 22 labeled "Field Mode" is adapted to negate the input 21 under conditions 20 when the circuit is operating in the field mode, wherein the armature is coupled directly to the battery. A third input 23 labeled "Iarm'l is a signal proportional to the actual armature current flowing in the motor.
A fourth sensing input 24 labeled "Armature Mode" is adapted to provide a current of fixed magnitude simulating the field current under conditions when the system is operating in the armature mode. Finally, an input 25 labeled "Ramp" extracts a sawtooth ramp signal from the vehicle controller for use in producing a variable duty cycle signal in the gauge circuitry.
Ramp signal generator 33 is shown in dotted form, illustrating that the ~o5~2 ramp signal may be provided by a conventional sawtooth generator internal to the gauge circuitry, if desired. In the field mode, the following expression describes the total battery current:
I = I + I t 1 (2) wherein field current is considered negligible. By way of contrast, in the armature mode the total battery current may be described as follows:

Iarm ~ + Icontrol field The current sensing circuitry 20 is adapted to sense the mode in which the controller is operating and automatically calculate the battery currents.
10 It will be appreciated that in different applications the battery current may be sensed in a different manner. For example, other circuit characteristics might be measured to detect such battery current, or a simple shunt could be placed in series with the battery, if desired.
A first amplifier 28 is provided for modifying the armature current signal received via input 23 in response to the mode of operation.
In the field control mode, the measured armature current corresponds to the battery current component due to the armature (100% duty cycle).
However, when the armature is being duty cycle controlled, the average armature current must be multiplied by the duty cycle to obtain the average 20 battery current drawn to produce such armature current.
It should be noted here that the amplifi~rs illustrated in connection with the described embodiment are of the Norton type and are commercially available from National Semiconductor as part No. LM3900N.
Such amplifiers are current controlled devices having a pair of inputs for controlling a single ended output. In the illustration, the lower input, which may be regarded as a non-inverting input, serves to drive the output voltage higher in response to increasing current flow into such input. By way of contrast, the upper input, designated with a zero, serves to drive the output ~o~2 lower with increasing current into such input. The Norton amplifiers are further characterized by approximately a one diode drop differential between the inverting and non-inverting inputs due to the internal structure of such amplifiers .
The amplifier 28 has its inverting input supplied from the zero voltage bus, the most positive point in the system, and its non-inverting input summing the signals on inputs 21 and 22. In the field mode of operation the input 22 will be maintained continuously high, thus maintaining the output of amplifier 28 high at all times. By way of contrast, in the armature lO control mode, the input 22 will be maintained low, thus allowlng the amplifier output to respond to the duty cycle signal on input terminal 21.
Thus, the output of amplifier 28 will be high for the ton portion of each period in the duty cycle. The effect of the output of amplifier 28 going high is to allow current flow through resistor 29 to the junction formed at the anodes of diodes 30 and 31. The voltage at such junction will be controlled by the level of the armature current signal on input 23.
Accordingly, the junction voltage will continue to switch at the duty cycle rate between the level of the armature current signal and a negative reference signal. As this occurs, diode 31 will alternate, respectively, 20 between a forward biased and a reversed biased condition. The capacitor 32 is adapted to average the pulses coupled through diode 31 and resistor 33 and therefore the current flowing through resistor 34 will provide a measure of the battery current being drawn due to the armature, In accordance with the description of the preferred embodiment, it is therefore seen that the circuitry described thus far responds to the mode of operation of the associated controller and charges the capacitor 32 to a voltage which provides a current proportional to the battery current being drawn due to the armature circuit, thereby calculating the first term in io~
equations 2 and 3. That signal is coupled to a summing junction via resistor 34. Additi~nal inputs to the summing junction are from input 24 through a resistor 35, the input 24 being maintained in a low level in the field mode thus negating any input through resistor 35 in such mode.
However, in the armature mode a current is provided through resistor 35, the value of the resistor being selected to cause such current to simulate the motor field current. A resistor 36 is coupled between the zero voltage bus and the summing junction to simulate the control current, such current being treated as constant. A resistor 38, coupled to the 10 ramp signal input 25, and a diode 39 are provided for transIorming the summed currents into a signal having a duty cycle proportional to the summed currents. Such duty cycle signal will be used in performing a further multiplication.
The particular ramp signal provided to input 25 initiates at a positive level (0 volts) and ramps negatively. Accordingly, when the ramp signal is near zero, the positive voltage on capacitor 32 will maintain diode 39 in the reverse biased condition. The summing resistors 36, and 35 if active, will cause the output of amplifier 40 to be maintained at a low level.
As the ramp signal ramps downward, a point will be reached when the 20 capacitor charge will be negated and the diode 39 will be forward biased drawing further current from the junction between resistors 36 and 35.
Ultimately, the ramp signal will reach a point where the output of amplifier ~0 will shift to a high level. It will be appreciated that the larger the summed currents from resistors 34, 35 and 36, the longer it will take for the output of amplifier 40 to switch positively. Accordingly, the output of amplifier 40 comprises a train of pulses at the frequency of the ramp pulse generator and having a duty cycle proportional to the summed currents .

;~0~2 For producing a signal simulating the internal resistance of the battery, a function generator generally indicated at 42 is provided. Such function generator includes an arrangement of resistors and diodes, the resistor value and the position of the biasing junction being so related to approximate the curve R of Fig. 1 by means of linear piecewise approximation.
~dditionally, resistors 70 and 71 add a fixed current proportional to internal resistance of the battery at 100% charge. Such function generators are well known to those skilled in the art and will not be described further herein.
It is seen that the function generator provides a first input to the summing 10 junction at the inverting input of amplifier 44. The second input is provided by amplifier 40 via resistor 45. It is recalled that the output of amplifier 40 is a variable duty cycle signal having a duty cycle proportional to the summed currents. When such duty cycle signal is at a high level (the off state of the duty cycle) the current through resistor 45 controls over the current provided by the function generator and drives the output of amplifier 44 low.
However, when the output of amplifier 40 is low, the function generator is gated on, thereby causing the output of amplifier 44 to follow the signal provided by the function generator. If the biasing point 72 formed at the commoned cathodes of the diodes in the function generator is biased with a 20 signal related to the state of charge of the battery, the output current of the function generator, at the summing junction of amplifier 44, will be an accurate indication of the internal resistance of the battery. Since the signal relating to the internal resistance is gated on and off at the duty cycle determined by the summed currents, the output of amplifier 44, if averaged, will be proportional to the product of the current and resistance i. e. the I R drop within the battery. To that end, the output of amplifier 44 is coupled through resistor 46 to the non-inverting input of amplifier 48. The amplifier 48 has a negative feedback path including the base emitter junction of an ~.05~62 4 emitter follower transistor 49 and an integrating capaciteJr 50. Accordingly, the amplifier 48 will be caused to integrate the signal applied to its input, via resistor 46, causing its output to average the pulsed signal, thereby providing the necessary product. It is seen that the battery is coupled via resistor 63 to the inverting input of amplifier 48. This arrangement causes the amplifier 48 to add a current proportional to the terminal voltage of the battery to the aforementioned current proportional to the I R drop within the battery. Additionally, resistors 61 and 62 coupled between the positive terminal of the battery and the sùmming junction subtract a current 10 proportional to the open circuit voltage of the battery at 0% charge thereby achieving the effect of an expanded scale voltmeter. Amplifier 48 responds to these currents to produce an output signal which is an accurate measure of the usable energy within the battery. It will be appreciated that the feedback path from amplifier 48 to the common cathodes of the function generator 42 causes the function generator to produce the proper resistance signal because such output is directly related to the battery state of charge.
The emitter follower 49 provides current gain. The voltage across the resistor 51 is equal to the voltage across feedback resistor 52 and thus the current through resistor 51 is proportional to the state of charge of 20 the battery. In addition, the current in the collector of transistor 55 will be a close approximation of the current in resistor 51. A properly calibrated meter 54 is connected to respond to that current. The meter face may be calibrated to read percent charge directly, thus providing a visual indication of the actual amount of usable energy remaining in the battery.

Claims (14)

The embodiments of the invention in which an exclusive property or privilege is claimed are defined as follows:
1. A state of charge measuring circuit for use with an electrical battery comprising in combination, means for producing a first signal proportional to battery current, means for generating a second signal proportional to the internal resistance of the battery at its actual state of charge, means for multiplying said first and second signals to produce a product signal, means for producing a third signal proportional to the actual terminal voltage of the battery, means for adding the third signal to the product signal thereby to produce an output signal which is a measure of the actual state of charge of the battery.
2. The battery state of charge measuring circuit as set forth in claim 1 further including means for producing a fourth signal proportional the open circuit voltage of the battery at 0% charge, and means for sub-tracting the fourth signal from said output signal thereby to produce an expanded scale difference signal proportional to the actual state of charge of the battery.
3. The battery state of charge measuring circuit as set forth in claim 2 wherein the generating means includes feedback signal means receiving said difference signal thereby to relate said second signal to the actual state of charge of the battery.
4. The battery state of charge measuring circuit as set forth in claim 2 wherein the generating means comprises a function generator having a biasing input for controlling the magnitude of said second signal, and means coupling the difference signal to said biasing means for feeding back the signal proportional to the state of charge of the battery thereby to relate the resistance signal to the actual state of charge of the battery.
5. The battery state of charge measuring circuit as set forth in claim 4 wherein the function generator comprises a linear piecewise approximation generator.
6. The battery state of charge measuring circuit as set forth in claim 2 further including indicator means driven by said difference signal for showing the state of charge of the battery.
7. The battery state of charge measuring circuit as set forth in claim 2 wherein the means for producing the first signal comprises amplifier means responsive to the battery current and to a ramp signal for producing an output having a duty cycle proportional to the battery current.
8. The battery state of charge measuring circuit as set forth in claim 2 wherein the first signal has a duty cycle proportional to the battery current, said multiplying means comprising means for gating the second signal on and off in dependence on the duty cycle of said first signal and means for integrating the gated signal thereby to produce the product of said signals.
9. The battery state of charge measuring circuit as set forth in claim 2 including circuit means drawing current from said battery, wherein said means for producing a first signal comprises amplifier means coupled to said circuit means for responding to signals in said circuit means to indirectly compute said signal proportional to battery current.
10. The battery state of charge measuring circuit as set forth in claim 2 including circuit means drawing current from said battery, said circuit means producing a plurality of signals indicative of individual current components drawn by said circuit means, said means for producing a first signal comprising amplifier means responsive to the plurality of signals for computing the total current drawn by said circuit means.
11. A state of charge measuring circuit for use with an electrical battery comprising in combination, means for producing a first signal proportional to battery current, means responsive to a feedback signal for generating a second signal simulating the internal resistance of the battery, means for multiplying said first and second signals to produce a product signal, means for producing a third signal related to the actual terminal voltage of the battery, means for adding the third signal to said product signal thereby to produce an output signal, said output signal being coupled to said generating means to serve as said feedback signal so that the second signal is proportional to the internal resistance of the battery at its actual state of charge, whereby the level of said output signal is a measure of the state of charge of the battery.
12. A battery state of charge measuring circuit for use with an electrical battery comprising in combination, means for producing a first signal proportional to battery current, means for producing a ramp signal, means for combining said first signal and said ramp signal for producing a second signal having a duty cycle proportional to the current drawn from the battery, function generator means for approximating a characteristic curve relating the internal resistance of the battery to its state of charge, biasing means coupled to the function generating means for causing said function generator to produce a third signal proportional to the internal resistance of the battery at its actual state of charge, multiplying means combining the duty cycle signal and the third signal for producing a product signal, means for generating a fourth signal proporational to the actual terminal voltage of the battery, and means for adding said third and fourth signals, thereby to produce an output signal proporational to the actual state of charge of the battery.
13. The battery state of charge measuring circuit as set forth in claim 12 wherein the biasing means comprises a feedback connection coupling the output signal to the function generating means.
14. The battery state of charge measuring circuit as set forth in claim 12 wherein the multiplying means comprises means for gating said third signal on and off in dependence upon the duty cycle of said second signal to produce a gated signal, and means for integrating the gated signal.
CA244,217A 1975-02-11 1976-01-26 Battery state of charge gauge Expired CA1052862A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
US05/548,913 US3946299A (en) 1975-02-11 1975-02-11 Battery state of charge gauge

Publications (1)

Publication Number Publication Date
CA1052862A true CA1052862A (en) 1979-04-17

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Application Number Title Priority Date Filing Date
CA244,217A Expired CA1052862A (en) 1975-02-11 1976-01-26 Battery state of charge gauge

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US (1) US3946299A (en)
CA (1) CA1052862A (en)

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