Technical Field
[0001] The present invention relates to current sources and, in particular, to a method
and circuit for stabilizing with changes in temperature the output current developed
by a current source.
Background of the Invention
[0002] A "current mirror" circuit is one simple form of current source that is typically
implemented as an integrated circuit. A current mirror circuit employing bipolar transistors
suffers, however, from the disadvantage of providing an output current whose magnitude
is uncertain and remains substantially constant over only a relatively narrow range
of operating temperatures. The reason is that the output current depends on the base-to-emitter
voltage of at least one transistor used in the current mirror circuit whose voltage
varies with different integrated circuits and changes in temperature. A current source
of this type is, therefore, undesirable for use in applications that require an output
current of predictable magnitude or an output current whose magnitude remains constant
over a wide range of operating temperatures.
[0003] A current source of conventional design which includes a special "bias" operational
amplifier provides an output current of constant magnitude that is independent of
temperature. This type of current source is undesirable because the operational amplifier
employs many transistor deivces, which constitute a circuit of complex design that
is difficult to implement with a single power supply, particularly at a relatively
low voltage (
e.g., + 5 volts).
Summary of the Invention
[0004] An object of the present invention is, therefore, to provide a current source that
is suitable for implementation as an integrated circuit and develops an output current
whose magnitude remains constant with changes in temperature.
[0005] Another object of the invention is to provide such a current source that is of simple
design and is operable with the use of a single power supply at a relatively low voltage.
[0006] A further object of the invention is to provide such a current source which is implemented
with bipolar transistors but whose output current is independent of the base-to-emitter
voltages of such transistors.
[0007] Still another object of the invention is to provide in a current source that employs
a current mirror circuit, a method for stabilizing the output current with changes
in temperature.
[0008] Yet another object of the invention is to provide an electrical circuit for implementing
such method of stabilizing the output current with bipolar transistors.
[0009] Additional objects and advantages of the present invention will be apparent from
the following detailed description of preferred embodiments thereof, which proceeds
with reference to the accompanying drawings.
Brief Description of the Drawings
[0010]
Fig. 1 is an electrical circuit diagram of a prior art current source employing a
current mirror circuit.
Fig. 2 is an electrical circuit diagram of a first preferred embodiment of the current
source of the present invention.
Fig. 3 is an electrical circuit diagram of a second preferred embodiment of the current
source of the present invention.
Fig. 4 is an electrical circuit diagram of a third preferred embodiment of the current
source of the present invention.
Detailed Description of Preferred Embodiments
[0011] With reference to Fig. 1, a prior art current source 10 of the current mirror type
includes NPN transistors 12, 14, and 16 of essentially identical design. The collector
terminal 18 of transistor 12 is connected to the base terminal 20 of transistor 14,
and the emitter terminal 22 of transistor 14 is connected to the base terminal 24
of transistor 12. Interconnecting transistors 12 and 14 in this manner forces the
collector-to-base voltage of transistor 12 to equal the base-to-emitter voltage, V
BE, of transistor 14. Collector terminal 18 of transistor 12 is connected through a
resistor 26 of value "R₁" to a collector bias voltage V
CC = +5 volts. The collector terminal 28 of transistor 14 is directly connected to V
CC. The emitter terminal 30 of transistor 12 is connected through a resistor 32 of value
"R₂" to ground. The reference current I₁ flowing through resistor 32 is determined
by application of Kirchoff's voltage law and can be expressed as:
I₁ = (V
CC - 2V
BE)/(R₁ + R₂).
The above equation is correct under the assumptions that the base-to-emitter voltages
of transistors 12 and 14 are equal and that the collector and emitter currents of
transistor 12 are equal. The above equation indicates that the current I₁ is dependent
on the magnitude of V
BE, the temperature coefficient of which is approximately -2 mV/°C.
[0012] The emitter terminal 22 of transistor 14 and base terminal 24 of transistor 12 are
connected to the base terminal 34 of transistor 16, which provides the output current
for current source 10. The output current I₂ flows from the collector terminal 36
to the emitter terminal 38 of transistor 16 through a resistor 40 of value "R₃" to
ground. Collector terminal 36 of transistor 16 which is biased to a voltage of sufficient
magnitude to ensure proper operation of transistor 16 can be connected, for example,
to an emitter-coupled differential amplifier or the emitter terminal of an emitter-follower
transistor. The output current I₂ flowing through transistor 16 is determined by application
of Kirchoff's voltage law and can be expressed as:
I₂ = I₁ x R₂/R₃.
The above equation is correct under the assumptions that the base-to-emitter voltages
of transistors 12 and 16 are equal and that the collector and emitter currents of
transistor 16 are equal. The above equation indicates that the output current I₂ of
current source 10 is directly proportional to the reference current, which is function
of V
BE. The dependence of the output current I₂ on V
BE is undesirable because its value varies with changes in temperature and is unpredictable,
usually to within 100 mV for different integrated circuits in which current sources
of this type are typically incorporated. The output current I₂ is, therefore, constant
only for operating temperatures within a relatively small range and predictable only
to the extent to which the value of V
BE is known.
[0013] With reference to Fig. 2, a current source 50 constitutes a first preferred embodiment
of the present invention which includes the prior art current source 10 of Fig. 1
and a compensating circuit 52. Compensating circuit 52 develops a current I
A which flows from collector terminal 18 to emitter terminal 30 of transistor 12 and
reduces the dependence of the reference current I₁ on the base-to-emitter voltages
of the transistors employed in current source 50.
[0014] Compensating circuit 52 includes a diode-connected NPN transistor 54 whose base terminal
56 and collector terminal 58 are connected to a resistor 60 fo value "R₄" which is
connected to V
CC. The emitter terminal 62 of transistor 54 is connected to the emitter terminal 64
of a PNP transistor 66 whose collector terminal 68 is connected to ground. Transistor
66 is preferably a substrate PNP transistor when current source 50 is implemented
in integrated circuit form. A resistor 70 of value "R₁" is connected between the collector
terminal 58 of transistor 54 and the base terminal 72 of transistor 66. The voltage
drop across resistor 70 determines the value of the compensating current I
A, which flows through resistor 70. The value R₄ of resistor 60 is chosen so that the
current flowing through resistor 60 is greater than I
A. Transistors 54 and 66 and resistor 60 are chosen to provide approximately the same
base-to-emitter voltages, V
BE, as those of transistors 12, 14, and 16; therefore, the magnitude of the compensating
current I
A can be expressed as 2 x V
BE/R₁. Since substantially all of the compensating current I
A flows into collector terminal 18 of transistor 12, the total current flowing through
resistor 32 equals the sum of I₁ + I
A, which can be expressed as:
I₁ + I
A = (V
CC - 2 x V
BE)/(R₁ + R₂) + 2 x V
BE/R₁.
= V
CC/(R₁ + R₂).
The above equation shows that the total current I₁ + I
A flowing through resistor 32 is independent of V
BE. The output current I₂ can be expressed as:
I₂ = (I₁ + I
A) x R₂/R₃
= V
CC x R₃/(R₁ + R₂) x R₁
The above equation indicates that the output current I₂ of current source 50 is also
independent of V
BE.
[0015] It will be appreciated that replacing transistor 54 with a short circuit conductor
between resistor 60 and emitter terminal 64 of transistor 66 and changing the value
of resistor 70 to R₁/2 provide the same reference current I₁ and output current I₂
as those calculated above.
[0016] With reference to Fig. 3, a current source 100 constitutes a second preferred embodiment
of the present invention which includes the prior art current source 10 of Fig. 1
and a compensating circuit 102. Compensating circuit 102 develops a current I
A which flows from collector terminal 18 to emitter terminal 30 of transistor 12 and
reduces the dependence of the reference current I₁ on the base-to-emitter voltages
of the transistors employed in current source 100. Compensating circuit 102 is identical
with compensating circuit 52 of Fig. 2, with the exception that a diode-connected
NPN transistor 104 is positioned between transistors 54 and 66.
[0017] The base terminal 106 and collector terminal 108 of transistor 104 is connected to
emitter terminal 62 of transistor 54, and the emitter terminal 110 of transistor 104
is connected to emitter terminal 64 of transistor 66. The voltage drop across resistor
70 determines the value of the compensating current I
A, which flows through resistor 70. Transistor 104 and resistor 60 are chosen to provide
approximately the same base-to-emitter voltage, V
BE, as those of transistors 12, 14, 16, 64; 66; therefore, the magnitude of the compensating
current I
A can be expressed as 2 x V
BE/R₁. Since the currents I₁ and I
A have the same values as those of the corresponding ones of current source 50 of Fig.
2, the output current I₂ flowing through resistor 40 has the same value as that derived
above for current source 50. The output current I₂ is, therefore, independent of V
BE. A resistor 112 (shown in phantom) positioned between base terminal 34 of transistor
16 and ground may be necessary to provide a conduction path for a portion of the current
flowing from base terminal 72 of transistor 66 to ensure such current does not exceed
the sum of the currents flowing through base terminal 24 of transistor 12 and base
terminal 34 of transistor 16.
[0018] With reference to Fig. 4, a current source 120 constitutes a third preferred embodiment
of the present invention which includes a prior art current source 122 and a compensating
circuit 104. Current source 122 is identical with current source 10 of Fig. 1, with
the exception that a conductor 126, which provides a short circuit connection between
collector terminal 18 and base terminal 24 of transistor 12, replaces transistor 14.
An optional resistor 128 (shown in phantom) can be positioned between base terminal
24 of transistor 12 and a junction node 130 to compensate for β
F dependence of transistors 12 and 16 on the output current I₂. The reference current
I
1ʹ flowing through transistor 12 is determined by application of Kirchoff's voltage
law and can be expressed as:
I
1ʹ = (V
CC - V
BE)/(R₁ + R₂).
The above equation is correct under the assumption that the collector and emitter
currents of transistor 12 are equal. The output current I₂, flowing through resistor
32 is determined by application of Kirchoff's voltage law and can be expressed as:
I
2ʹ = I
1ʹ x R₂/R₃.
The above equation is correct under the assumptions that β
F equals ∞ and the base-to-emitter voltages of transistors 12 and 16 are equal.
[0019] Compensating circuit 124 develops a current I
Aʹ, which flows from collector terminal 18 to emitter terminal 30 of transistor 12 and
offsets the dependence of current I
1ʹ on the base-to-emitter voltages of the transistors employed in current source 122.
Compensating circuit 124 is identical with compensating circuit 52 of Fig. 2, with
the exception that a short circuit replaces diode-connected transistor 104. The voltage
across resistor 70 is the base-to-emitter voltage, V
BE, of transistor 66, which provides the compensating current I
Aʹ of value V
BE/R₁. Since substantially all of the compensating current I
Aʹ flows into collector terminal 18 of transistor 12, the current flowing through resistor
32 equals the sum of I
1ʹ + I
Aʹ, which can be expressed as:
I
1ʹ + I
Aʹ = (V
CC - V
BE)/(R₁ + R₂) + V
BE/R₁
= V
CC/(R₁ + R₂).
The above expression shows that the composite current I
1ʹ + I
Aʹ has the same value as I
1ʹ of Fig. 2. The reason is that the effect of removing transistor 14, which affects
the value of I₁, offsets the effect of removing transistor 54, which affects the value
of I
A. The output current I
2ʹ can be expressed as:
I₂ = (I
1ʹ + I
Aʹ) x R₂/R₃
= V
CC x R₃/(R₁ + R₂) x R₁.
The above expression indicates that the output current I
2ʹ of current source 120 is also independent of V
BE and is the same as the output current I₂ of current source 50 of Fig. 2.
[0020] It will be appreciated that the three preferred embodiments described above can operate
with the use of a single power supply having a magnitude as low as about 3 volts.
[0021] It will be obvious to those having skill in the art that many changes may be made
in the above-described details of the preferred embodiments of the present invention
without departing from the underlying principles thereof. The scope of the present
invention should be determined, therefore, only by the following claims.
1. In a controlled current source having a current mirror circuit that includes a
first transistor for providing a reference current from which an output current is
derived at a particular temperature, the first transistor having a first junction
of semiconductor materials across which develops a potential difference that changes
with temperature and thereby changes the magnitude of the output current, a method
of stabilizing the magnitude of the output current with respect to said changes in
temperature, comprising:
introducing a compensating current flow through the first transistor, the compensating
current changing with temperature to offset corresponding changes in the reference
current, thereby to provide a generally temperature-invariant output current.
2. The method of claim 1 in which the compensating current is derived from a second
transistor having a second junction of semiconductor materials across which develops
a potential difference that is substantially identical with and changes in a manner
similar to that of the first transistor, thereby to provide an output current that
is essentially independent of the potential difference across the first transistor.
3. The method of claim 1 in which the first transistor is of the bipolar type whose
base-emitter junction constitutes the first junction, and in which the compensating
current is introduced so that it flows through the first transistor to offset changes
in the reference current with temperature.
4. The method of claim 3 in which the compensating current is derived from a second
transistor of the bipolar type having a second base-emitter junction of semiconductor
materials across which develops a potential difference that is substantially identical
with that of the first bipolar transistor.
5. A temperature compensated current source, comprising:
a current mirror circuit including a first transistor having a first junction of semiconductor
materials across which develops a potential difference that changes with temperature;
reference current means for causing a reference current to flow between the first
junction and a load impedance, the reference current having a magnitude that depends
on the potential difference across the first junction; and
compensating current means for causing a compensating current to flow across the first
transistor, the compensating current changing with temperature so that it offsets
corresponding changes in the reference current, thereby to provide through the load
impendance a generally temperature-invariant current.
6. The current source of claim 5 in which the reference current means comprises a
second transistor having a second junction of semiconductor materials across which
develops a second potential difference and a resistor electrically connected to the
second transistor, the resistor conducting a current of changing magnitude in response
to changes in the magnitude of the second potential difference to thereby provide
through the load impendance a current whose magnitude is substantially independent
of the first potential difference.
7. The current source of claim 5 in which the reference current means comprises a
second transistor having a second junction of semiconductor materials across which
develops a second potential difference and a resistor electrically connected to the
second transistor, the resistor conducting a current of changing magnitude in response
to changes in the magnitude of the second potential difference.
8. The current source of claim 7 in which the first potential difference and the second
potential difference are substantially equal, and substantially all of the current
flowing through the resistor constitutes the compensating current.