The present invention relates to a battery state estimation device and a battery state estimation method.
Japanese Patent Unexamined Publication No. 2003-185719 discloses a control device of a secondary battery as set forth below. That is, the control device of the secondary battery defines a predetermined battery model, and a current measured value and a terminal voltage measured value of the secondary battery are converted into a state quantity by using a state variable filter which is based on a battery model. By using the state quantity, the control device of the secondary battery estimates the secondary battery's terminal voltage which is based on the battery model. Then, the control device of the secondary battery identifies a parameter of the secondary battery such that a difference between the voltage measured value and the terminal voltage estimated based on the battery model is converged to zero.
In the Japanese Patent Unexamined Publication No. 2003-185719, however, a part of the current measured value and terminal voltage measured value of the secondary battery is used for estimating the terminal voltage without being subjected to a filter treatment by a state variable filter. Herein, the current measured value and terminal voltage measured value of the secondary battery are those measured by an ammeter or a voltmeter, therefore, ordinarily include an observation noise. Therefore, the Japanese Patent Unexamined Publication No. 2003-185719 has such a problem that an influence by the observation noise causes an insufficient accuracy of identifying the parameter of the secondary battery.
It is an object of the present invention to provide a battery state estimation device and a battery state estimation method which are capable of identifying the parameter of the secondary battery with a high accuracy.
For solving the above problem, an aspect of the present invention includes a battery state estimation device and a battery state estimation method, where a current of a secondary battery and a terminal voltage of the secondary battery are detected, then by using the current measured value and terminal voltage measured value thus detected, the terminal voltage of the secondary battery which terminal voltage is based on a predetermined battery model is estimated, and then a parameter of the secondary battery is identified such that a difference between the terminal voltage measured value and the voltage estimated value is converged to zero. In the identifying of the parameter of the secondary battery, the terminal voltage measured value and the terminal voltage estimated value are subjected to a filter treatment by a low pass filter having a common high frequency breaking characteristic, and the terminal voltage measured value and the terminal voltage estimated value which are subjected to the filter treatment are used.
According to the aspect of the present invention, in the identifying of the parameter of the secondary battery, the terminal voltage measured value and the terminal voltage estimated value are subjected to a filter treatment by a low pass filter having a common high frequency breaking characteristic, and the terminal voltage measured value and the terminal voltage estimated value which are subjected to the filter treatment are used. By this operation, the influence of the observation noise included in the current measured value and terminal voltage measured value can be effectively removed, as a result, making it possible to identify a parameter of the secondary battery with a high accuracy.
Hereinafter, the embodiments of the present invention will be set forth based on the drawings.
A control system shown in
The secondary battery 10 has such a structure that a plurality of unit cells are connected in series. As the unit cell included in the secondary battery 10, for example, a lithium-series secondary battery such as lithium ion secondary battery is raised. As a load 20, for example, a motor and the like are raised.
A current sensor 40 is a sensor for detecting a charge-discharge current flowing through the secondary battery 10. A signal detected by the current sensor 40 is sent out to an electronic control unit 30. A voltage sensor 50 is a sensor for detecting a terminal voltage of the secondary battery 10. A signal detected by the voltage sensor 50 is sent out to the electronic control unit 30.
The electronic control unit 30 is a control unit for controlling the secondary battery 10 and includes a microcomputer which includes a CPU for operating a program, a ROM and a RAM which memorize the program or operation results, an electronic circuit, and the like.
As shown in
The current detector 301 obtains a signal from an ammeter 40 at a predetermined period and then, based on the signal from the ammeter 40, detects the charge-discharge current flowing through the secondary battery 10, to thereby obtain a current measured value I(k). The current detector 301 sends out the thus obtained current measured value I(k) to the battery parameter estimator 303.
The voltage detector 302 obtains a signal from a voltmeter 50 at a predetermined period and then, based on the signal from the voltmeter 50, detects the terminal voltage of the secondary battery 10, to thereby obtain a voltage measured value V(k). The voltage detector 302 sends out the thus obtained current measured value V(k) to the battery parameter estimator 303.
The battery parameter estimator 303 defines a battery model of the secondary battery 10, and then, from the current measured value I(k) detected by the current detector 301 and the voltage measured value V(k) detected by the voltage detector 302, collectively estimates a battery parameter φ̂(k) of the battery model of the secondary battery 10 through an adaptive digital filter operation.
Herein, the “̂” added to a right shoulder of “φ” of the φ̂(k) denotes an estimated value. In
Hereinafter, a method of estimating the battery parameter φ̂(k) of the secondary battery 10 by the battery parameter estimator 303 will be set forth.
First, “battery model” used according to this embodiment will be set forth.
Herein, a model input is a current I [A] (a positive value denotes charge while a negative value denotes discharge), a model output denotes a terminal voltage V [V], R1 [Ω] denotes a charge transfer resistance, R2 [Ω] denotes a pure resistance, C1 [F] denotes an electric double layer capacity, and V0 [V] denotes an open circuit voltage. In the expression (2), s denotes a differential operator. The battery model according to this embodiment is a reduction model (primary—first order) which does not specifically separate a positive electrode from a negative electrode, however, can relatively accurately show the charge-discharge characteristic of an actual battery. As stated above according to this embodiment, the structure will be set forth with an order of the battery model set to primary (first order) as an example.
Then, expressing R1, R2, C1 by the following expression (3) allows the above expression (2) to be given by the following expression (4).
According to this embodiment, from the battery model shown in the above expression (4), the battery parameter estimator 303 estimates the battery parameter φ̂(k) of the battery model shown in
First, it is conceived that an open circuit voltage V0(t) is obtained by integrating, from an initial state, a current I(t) multiplied by a variable parameter h. In this case, the open circuit voltage V0(t) can be given by the following expression (5).
Then, substituting the above expression (5) into the above expression (4) gives the following expression (6) to be led to the following expression (7) after an arrangement.
The above expression (2) and above expression (7) respectively correspond to the following expression (8) and following expression (9), and correspond to those where the order of each of A(s) and B(s) is set to primary (first order) in the following expression (8) and following expression (9).
Herein, A(s) and B(s) are each a polynomial function of s, where the A(s) and B(s) have the same order.
Then, introducing a known constant ki (i=1, 2, n) to the above expression (7) can give the following expression (10) and expression (11).
In the above expression (11), Ii and b0i are each a parameter including an unknown parameter (T1, T2, K, h). fvi and fIi are each a conversion state quantity obtained by subjecting the values I(k), V(k) which are respectively measurable by the ammeter 40 and voltmeter 50 to a filter treatment by a state variable filter. Since the above expression (11) is a product sum of these, the above expression (11) coincides with the following expression (12) which is a standard form of the adaptive digital filter.
[Expression 12]
y(t)=φTω (12)
In the above expression (12), φT=[Ii, b0i], ω=[fvi, fIi].
Then, based on an algorithm shown in the following expression (13), an identification of the battery parameter φ̂(k) of the battery model is implemented from a conversion state quantity ω(k) pursuant to an adaptive adjustment rule such that a difference between a voltage estimated value V̂(k) which is a terminal voltage estimated value of the secondary battery 10 estimated by the above battery model and the voltage measured value V(k) which is an actual measured value detected by the voltmeter 50 and obtained by the voltage detector 302 can be converged to zero. In this case, according to this embodiment, “both limits trace gain method” where a logical defect of a simple “adaptive digital filter by least square approach” has been improved can be used. Herein, the logical defect signifies that once the estimated value is converged, an accurate estimation cannot be accomplished again even when the parameter changes afterward.
The above expression (13) includes sequential expressions for adaptively calculating the battery parameter φ̂(k). γ(k) and Γ(k−1) are each an adaptive gain, of these, γ(k) is a scalar gain (error gain) while Γ(k−1) is a line gain (signal gain). Then, when a state quantity ζ(k) at a time point k is obtained by the above expression (13), it is possible to calculate e(k) which is a difference between the voltage estimated value V̂(k) which is the terminal voltage estimated value of the secondary battery 10 estimated from the battery model and the voltage measured value V(k) detected by the voltmeter 50 and obtained by the voltage detector 302. Converging this e(k) to zero can sequentially calculate the battery parameter φ̂(k).
Herein, according to this embodiment, as shown in
That is, according to this embodiment, for calculating the battery parameter φ̂(k) according to the above method, the low pass filter operator 3031 implements the filter treatment by a low pass filter Glpf, as shown in
Then, by using the current measured value I(k) and voltage measured value V(k) from which the observation noise was removed by the low pass filter Glpf, the state variable filter operator 3032 obtains the conversion state quantity ω(k) (conversion state quantities ω1(k), ω2(k), ω3(k), ω4(k), ω5(k)), using the state variable filter, as shown in
Then, as shown in
In this way, the current measured value I(k) and voltage measured value V(k) are subjected to the filter treatment which uses the low pass filter Glpf, to thereby remove the observation noise. By this operation, in the identification of the battery parameter φ̂(k) by converging to zero the difference e(k) between the voltage estimated value V̂(k) and the voltage measured value V(k), an influence by the observation noise can be effectively removed. As a result, the estimation accuracy of the battery parameter φ̂(k) can be improved.
Herein, the low pass filter Glpf used according to this embodiment is not specifically limited, however, the one given by the following expression (14) may be raised.
Herein, as shown in
Then, as shown in
In addition, according to this embodiment, it is preferable that the low pass filter Glpf having the same characteristic be used for the filter treatment of the current measured value I(k), voltage measured value V(k) and voltage estimated value V̂(k). This can eliminate a phase shift, thereby enhancing the identification accuracy of the battery parameter φ̂(k) of the battery model.
Then, together with the conversion state quantity ω(k), the battery parameter φ̂(k) of the secondary battery 10 thus calculated is sent out to the open circuit voltage estimator 304 from the battery parameter estimator 303, as shown in
The open circuit voltage estimator 304 estimates the open circuit voltage of the secondary battery 10 based on the battery parameter φ̂(k) and conversion state quantity ω(k) which are calculated by the battery parameter estimator 303, to thereby calculate the open circuit voltage estimated value V0̂(k). Hereinafter, the method of calculating the open circuit voltage estimated value V0̂(k) will be set forth.
That is, according to this embodiment, substituting into the expression (4) the battery parameter φ̂(k) calculated by the above expression (13) and the conversion state quantity ω(k) calculated by the above expression (10) calculates the open circuit voltage estimated value V0̂(k).
Herein, the battery parameter φ̂(k) corresponds to the parameters Ii, b0i which include the unknown parameters (T1, T2, K, h), as set forth above. Therefore, substituting into the expression (4) the battery parameter φ̂(k) and conversion state quantity ω(k) which are calculated by the battery parameter estimator 303 can calculate the open circuit voltage estimated value V0̂(k). The open circuit voltage estimator 304 sends out the thus calculated open circuit voltage estimated value V0̂(k) to the SOC estimator 305.
From the open circuit voltage estimated value V0̂(k) calculated by the open circuit voltage estimator 304, the SOC estimator 305 calculates the state of charge estimated value SOĈ(k) based on a predetermined open circuit voltage relative to state of charge characteristic of the secondary battery 10. In addition,
Then, estimation processings of the battery parameter φ̂(k) and state of charge estimated value SOĈ(k) according to this embodiment will be set forth referring the flowchart shown in
First, at step S1, the current detector 301 and voltage detector 302 respectively obtain the current measured value I(k) and voltage measured value V(k) respectively. The current measured value I(k) is sent out to the battery parameter estimator 303.
At step S2, the low pass filter operator 3031 of the battery parameter estimator 303 subjects the current measured value I(k) and voltage measured value V(k) to the filter treatment which uses the low pass filter Glpf, to thereby remove the observation noise. Then, according to the above expressions (10) and (11), the state variable filter operator 3032 of the battery parameter estimator 303 subjects the current measured value I(k) and voltage measured value V(k) (with the observation noise removed) to the filter treatment which uses the state variable filter, to thereby calculate the conversion state quantity ω(k).
At step S3, by using the conversion state quantity w(k) calculated at step S2 and the voltage measured value V(k) with the observation noise removed, the adaptive identification operator 3033 of the battery parameter estimator 303 implements the identification of the battery parameter φ̂(k) of the battery model according to the above expression (13). Herein, the voltage estimated value V̂(k) used for implementing the identification of the battery parameter φ̂(k) is the one that was subjected to the filter treatment which is implemented by the low pass filter operator 3031 and which uses the low pass filter Glpf.
At step S4, according to the above expression (17), the open circuit voltage estimator 304 calculates the open circuit voltage estimated value V0̂(k) based on the battery parameter φ̂(k) and conversion state quantity ω(k) which are calculated by the battery parameter estimator 303. Then, the thus calculated open circuit voltage estimated value V0̂(k) is sent out to the SOC estimator 305.
At step S5, by using the open circuit voltage estimated value V0̂(k) calculated by the open circuit voltage estimator 304, the SOC estimator 305 calculates the state of charge estimated value SOĈ(k) based on the predetermined open circuit voltage relative to state of charge characteristic of the secondary battery 10.
According to this embodiment, as set forth above, the battery parameter φ̂(k) of the battery model of the secondary battery 10 and the state of charge estimated value SOĈ(k) of the secondary battery 10 arc estimated.
As shown in
According to this embodiment, the voltage estimated value V̂(k) which is based on the battery model of the secondary battery 10 is calculated by using the current measured value I(k) and voltage measured value V(k). For removing the influence of a measurement noise included in the current measured value I(k) and voltage measured value V(k), the current measured value I(k) and voltage measured value V(k) are subjected to the filter treatment by the low pass filter Glpf. Then, the current measured value I(k) and voltage measured value V(k) which were subjected to the filter treatment are used for estimating the battery parameter φ̂(k) such that the difference e(k) between the voltage measured value V(k) and the voltage estimated value V̂(k) is converged to zero. By this operation, according to this embodiment, the influence of the measurement noise included in the current measured value I(k) and voltage measured value V(k) can be effectively removed, thus making it possible to easily converge the difference e(k) between the voltage measured value V(k) and the voltage estimated value V̂(k) to zero. By this, the identification accuracy of the battery parameter φ̂(k) can be improved. Moreover, according to this embodiment, capability of identifying the battery parameter φ̂(k) with a high accuracy can enhance the estimation accuracy of each of the open circuit voltage estimated value V0̂(k) and the state of charge estimated value SOĈ(k). In addition, this is likewise applicable to the method of carrying out the filter treatment by the low pass filter Glpf on the voltage estimated value V̂(k) and voltage measured value V(k) which are each an equivalent transformation of
Moreover, according to this embodiment, the cutoff frequency of the low pass filter Glpf is made more than or equal to the cutoff frequency of the state variable filter or made same as the cutoff frequency of the state variable filter. By this, the observation noise can be selectively reduced without attenuating the information necessary for obtaining the battery characteristic, specifically, the observation noise is selected from i) the information necessary for obtaining the battery characteristic included in the current measured value I(k) and voltage measured value V(k) and ii) the observation noise. Thus, the identification accuracy of the battery parameter φ̂(k) can be further improved. Especially, it is so made that the cutoff frequency of the low pass filter Glpf is the same as the cutoff frequency of the state variable filter. By this, the observation noise can be suppressed to the minimum without attenuating the information necessary for obtaining the battery characteristic.
Next, an explanation will be made about a second embodiment of the present invention.
According to the second embodiment, as the low pass filter Glpf used for the filter treatment by the low pass filter operator 3031 and as the state variable filter used for the filter treatment by the state variable filter operator 3032, those not including a differentiator (differential operator) are used. Other structures are substantially the same as those according to the first embodiment.
Referring to
According to the second embodiment, the following effects can be taken in addition to the effects of the first embodiment.
That is, according to the second embodiment, as the low pass filter Glpf used for the filter treatment by the low pass filter operator 3031 and the state variable filter used for the filter treatment by the state variable filter operator 3032, those not including the differentiator (differential operator s) are used. By this, even a short data length can make an accurate operation, thereby further reducing the influence by the observation noise. Thus, it is possible to further improve the estimation accuracy of the battery parameter of the battery model and the estimation accuracy of the state of charge SOC.
Especially, when a high-functional CPU having an FPU function cannot be used as a CPU of the electronic control unit 30 due to reduction of cost and power consumption, it is necessary to implement an operation with integer type variables. Then, when the low pass filter Glpf or state variable filter each having a differential characteristic is calculated by the integer type variables, it is necessary to coarsely set the resolution since the dynamic range of the variable is too small. Thus, in such a case, using the low pass filter Glpf or state variable filter each having the differentiator may cause an influence to the identification performance of the battery parameter φ̂(k) even by a small observation noise or may cause an error to the estimated value of each of the battery parameter and the state of charge SOC. Contrary to this, according to the second embodiment, as the low pass filter Glpf and state variable filter, those not including the differentiator (differential operator s) are used. By this, even when the high-functional CPU having the FPU function cannot be used, the influence by the observation noise can be unlikely to be caused to the identification performance of the battery parameter φ̂(k), thus making it possible to enhance the estimation accuracy of the battery parameter and the estimation accuracy of the state of charge SOC.
As shown in
Next, an explanation will be made about a third embodiment of the present invention.
According to the third embodiment, as the low pass filter Glpf used for the filter treatment by the low pass filter operator 3031 of the battery parameter estimator 303 and as the state variable filter used for the filter treatment by the state variable filter operator 3032 of the battery parameter estimator 303, primary filters are to be used respectively. Other structures are substantially the same as those according to the first embodiment.
That is, according to the third embodiment, as shown by the following expression (19), a partial fractional breakdown is applied to s/(s2+k1·s+k2) and 1/(s2+k1·s+k2) which are each a state variable filter used according to the first embodiment.
Then, in the above expression (19), with ka=kα and kb=kβ, the common roots between the state variable filter and the low pass filter Glpf are bound up and put together, to thereby make a structure where the primary low pass filters are connected in parallel. Thus, the structure of the adaptive identification system can be the one shown in
According to the third embodiment, the following effects can be taken in addition to the effects of the first embodiment.
That is, according to the third embodiment, the low pass filter operator 3031 and state variable filter operator 3032 implement the filter treatment by using the primary low pass filter as the low pass filter Glpf and state variable filter. Thus, the number of operations required for the filter treatment can be reduced. For example, in the adaptive identification system shown
In addition, in the above embodiments, the current detector 301 corresponds to a current detecting means of the present invention, the voltage detector 302 corresponds to a voltage detecting means of the present invention, the low pass filter operator 3031 of the battery parameter estimator 303 corresponds to a low pass filter operating means of the present invention, the state variable filter operator 3032 of the battery parameter estimator 303 corresponds to a terminal voltage estimating means of the present invention, the adaptive identification operator 3033 of the battery parameter estimator 303 corresponds to an identifying means of the present invention, the open circuit voltage estimator 304 corresponds to an open circuit voltage estimating means of the present invention, and the SOC estimator 305 corresponds to a state of charge estimating means of the present invention.
As set forth above, although the embodiments of the present invention have been explained about, these embodiments are set forth for making it easy to understand the present invention, and therefore are not set forth for limiting the present invention. Thus, each element disclosed in the embodiments includes all design changes or equivalents that are included in the technical scope of the present invention.
By the battery state estimation device and battery state estimation method according to the present invention, the influence of the measurement noise included in the current measured value I(k) and voltage measured value V(k) can be effectively removed, thus making it easy to converge the difference e(k) between the voltage measured value V(k) and the voltage estimated value V̂(k) to zero. By this, the identification accuracy of the battery parameter φ̂(k) can be improved. In addition, capability of identifying the battery parameter φ̂(k) with a high accuracy can enhance the estimation accuracy of each of the open circuit voltage estimated value V0̂(k) and the state of charge estimated value SOĈ(k). Thus, the battery state estimation device and battery state estimation method according to the present invention have an industrial applicability.
Number | Date | Country | Kind |
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2010-033903 | Feb 2010 | JP | national |
2011-026032 | Feb 2011 | JP | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/JP11/53534 | 2/18/2011 | WO | 00 | 4/30/2012 |