SECONDARY CELL INSPECTION METHOD AND SECONDARY CELL INSPECTION DEVICE
20230034016 · 2023-02-02
Inventors
Cpc classification
G01R31/374
PHYSICS
G01R31/389
PHYSICS
G01R31/382
PHYSICS
Y02E60/10
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
International classification
G01R31/389
PHYSICS
G01R31/367
PHYSICS
G01R31/374
PHYSICS
Abstract
Provided is a secondary battery inspection device capable of improving inspection accuracy while simplifying the inspection of a secondary battery. Value of a model parameter of a secondary battery model is identitied based on a sampling period T. In the secondary battery model, impedance of internal resistance of a secondary battery 2(0) is expressed by an IIR transfer function and an FIR transfer function. When impulse current I(t) is input to a specified model as the secondary battery model the value of the model parameter of which is identified, a model output voltage as a voltage change form output from the specified model is estimated. The performance of the secondary battery 200 according to the sampling period T is evaluated based on the measurement result of the voltage of the secondary battery 200 when the impulse current I(t) flows into the secondary battery 200, and the specified model output voltage.
Claims
1. A secondary battery inspection device comprising: a voltage recognition element which recognizes a measurement result of voltage of a secondary battery when an impulse current flows into the secondary battery; a model parameter setting element which identifies, based on a sampling period, a value of a model parameter of a secondary battery model in which impedance of internal resistance of the secondary battery is expressed by transfer functions respectively representing an IIR system and an FIR system; a voltage estimation element which, when the impulse current is input to a specified model as the secondary battery model the value of the model parameter of which is identified by the model parameter setting element, estimates a model output voltage as a voltage change form output from the specified model; and an evaluation element which evaluates performance of the secondary battery according to the sampling period based on the measurement result of the voltage of the secondary battery recognized by the voltage recognition element, and the specified model output voltage estimated by the voltage estimation element.
2. The secondary battery inspection device according to claim 1, wherein the model parameter setting element individually identifies the value of the model parameter based on each of a plurality of sampling periods, respectively, the voltage estimation element estimates a plurality of model output voltages as voltage change forms respectively output from a plurality of specified models when the impulse current is input to the plurality of specified models as individual secondary battery models with the values of the model parameter identified by the model parameter setting element, and the evaluation element evaluates a plurality of performances of the secondary battery respectively according to respective of the plurality of sampling periods based on the measurement result of the voltage of the secondary battery recognized by the voltage recognition element, and respective of the plurality of specified model output voltages estimated by the voltage estimation element.
2. The secondary battery inspection device according to claim 1, further comprising a temperature compensation element which recognizes a measurement result of temperature of the secondary battery, wherein the model parameter setting element corrects the value of the model parameter based on the measurement result of the temperature of the secondary battery recognized by the temperature compensation element.
4. A secondary battery inspection method comprising: a voltage recognition process of recognizing a measurement result of voltage of a secondary battery when an impulse current flows into the secondary battery; a model parameter setting process of identifying, based on a sampling period, a value of a model parameter of a secondary battery model in which impedance of internal resistance of the secondary battery is expressed by transfer functions respectively representing an IIR system and an FIR system; a voltage estimation process in which, when the impulse current is input to a specified model as the secondary battery model the value of the model parameter of which is identified in the model parameter setting process, a model output voltage as a voltage change form output from the specified model is estimated; and an evaluation process of evaluating performance of the secondary battery according to the sampling period based on the measurement result of the voltage of the secondary battery recognized in the voltage recognition process, and the specified model output voltage estimated in the voltage estimation process.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DESCRIPTION OF EMBODIMENT
[0029] (Configuration of Secondary Battery Inspection Device)
[0030] A secondary battery inspection device 100 as one embodiment of the present invention illustrated in
[0031] The secondary battery inspection device 1(00 includes an C)CV detection element 102, a subtraction element 104, a temperature compensation element 110. a first sampling period output element 111. a first model parameter setting element 112, a first voltage estimation element 114, a first division element 116, a second sampling period output element 121, a second model parameter setting element 122, a second voltage estimation element 124, a second division element 126, a first evaluation element 142, a second evaluation element 144, and a third evaluation element 146.
[0032] (Secondary Battery Model)
[0033] Each of the secondary battery models is a model representing voltage V(t) output from a secondary battery 200 when current I(L) is input to the secondary battery 200. The voltage V(t) is defined by equation (01i using an open circuit voltage OCV of the secondary battery 200 and a transfer function H(t) of the internal resistance.
V(t)=OCV+H(t).Math.I(t) (01)
The transfer function H(t) of an equivalent circuit model of the internal resistance of the secondary battery is defined by equation (02).
[0034] [Math. 1]
H(t)=Ho(t)+Σ.sub.i=1.sup.mH.sub.l(t)+Hw(t)+Ht(t) (02)
[0035] “H.sub.0(t),” “H.sub.1(t),” “H.sub.w(t).” and “H.sub.L(t)” are defined by parameters representing the characteristics of the internal resistance of the secondary battery.
[0036] In
[0037] The transfer function hI-(z) of the resistance R, is defined by equation (10). In
H.sub.0(z)=R.sub.0 (10)
[0038] The dependency of R.sub.0 on temperature 0 is predetermined according to the equation (10) based on the measurement results of Nyquist plots of a reference secondary battery at different temperatures 0 (see
[0039] The transfer function H,(z) of the i-th RC parallel circuit is defined by equation (20) as an IIR (Infinite Impulse Response) system. In
Hi(z)=(b.sub.0+b.sub.iz.sup.−1)/(1+a.sub.iz.sup.−1 ) (20)
[0040] A transfer function Hi(s) of the i-th RC parallel circuit in an s region is expressed by equation (21).
H.sub.i(s)=RAI(+zis) (where z, =1/R.sub.iC.sub.i) (21)
[0041] When the transfer function H,(s) is bilinear-transformed (s -+(2/T)(1--z)/(1+z-) (where T is a sampling period)), the transfer function Hi(z) of the i-th RC parallel circuit in a z region is expressed by equation (22).
H.sub.i(z)={R.sub.i/(1+2.sub.ti/T)+R.sub.1/(1+2.sub.ti/T).sub.z .sup.−1}/{1+(1-2.sub.ti/T)/(1+2.sub.ti/T)z.sup.−1} (22)
[0042] From a comparison between the equations (20) and (22), each of coefficients bo,, b.sub.i. and a.sub.i in the IIR transfer function is defined by each of equations (221) to (223), respectively.
b.sub.0=RJ(1+2/T) (221)
b.sub.1=R.sub.1/(1+2.sub.ti/T) (222)
a.sub.i=−{1+(1.Math.2ti/T)} (223)
[0043] The dependencies of R.sub.1 and C.sub.1 on temperature 0 are predetermined according to the equation (21) based on the measurement results of Nyquist plots of the secondary battery at different temperatures 0 (see
[0044] The transfer function Hr(.z) of the coil L is defined by equation (30) as the transfer function of the IIR system. In
H.sub.L(z)=(2L.sub.0/T)(1 −z.sup.−1)/(1+z.sup.−1) (30)
A transfer tunction Hi(s) of the coil L in the s region is expressed by equation (31).
H.sub.L(s)=sL.sub.0 (31)
When the transfer function Hi.(s) is bilinear-transformed, the transfer function HL-(z) of the coil L in the z region is represented by equation (32).
H.sub.L(z)={2L.sub.0/T−2L.sub.0/T.sub.z.sup.−1}/(1+z.sup.−1) (32)
[0045] From a comparison between the equations (30) and (32), each of the coefficients b.sub.0, b.sub.i, and a.sub.i in the IIR transfer function is detined by each of equations (321) to (323), respectively.
b.sub.0=2L.sub.0T (321)
b.sub.i=−2L0/T (322)
a.sub.i=−1 (323)
The dependence of L.sub.0 on temperature θ is predetermined according to the equation (31) based on the measurement results of Nyquist plots of the reference secondary battery at each of different temperatures θ (see
[0046] In other words, each of the coefficients b.sub.0 and b.sub.i that define the transfer function Hi(z) of the coil L is defined as a dependent variable or a multivariable function when the temperature θ and sampling frequency Tare taken as main variables.
[0047] The transfer function I-wiz) of the Warburg impedance Wo is defined by equation (40) as a transfer function of a FIR (Finite Impulse Response) system. In FIG. 3D, a block diagram representing the transter function Hw(z) of the Warburg impedance W.sub.0 is illustrated.
[0048] Math. 2
Hw(z)=Σ.sub.k=0.sup.n hiz.sup.−k (40)
A transfer function Iw(s) of the Warburg impedance Wu in the s region is represented by equation (41).
Hw(s)=Rwtanh(sTw/(sTw).sup.P (41)
[0049] When the transfer function Ht.(s) is bilinear-transformed, the transfer function Hw(z) of the Warburg impedance Wo in the z region is represented by equation (42).
Hw(z)=Rwtanh[(2Tw/T)(1.Math.z.sup.−1)/(1+z.sup.−1)]/{(2Tw/T)(1−z−1)/(1+z.sup.−1)}.sup.P (42)
Thus, from a comparison between the equations (40) and (42), it is found to be difficult to determine each of the coefficient lhi in the FIR transfer function, respectively. Therefore, the dependencies of Rw, Tw, and p on temperature θ are determined according to the equation (41) based on the measurement results of Nyquist plots of the reference secondary battery at each of different temperatures U (see
[0050] In
[0051] A value of ReZ when -ImZ=0 (
[0052] The approximate curve of the complex impedance Z of the secondary battery. which is represented by solid Nyquist plots in
[0053] (Secondary Battery Inspection Method)
[0054] An inspection method of the secondary battery 200 executed by the secondary battery inspection device 100 having the configuration mentioned above will be described.
[0055] The impulse current 1(t). the voltage V(t), and the temperature 0(t) of the secondary battery 200 are measured by a current sensor S1, a voltage sensor S2, and a temperature sensor SO, respectively, when the impulse current I(t) is applied by a charge/discharge device 300 to the secondary battery 200 to be inspected.
[0056] the measurement result of the temperature 0(t) of the secondary battery 200 is input to the temperature compensation element 110, and a temperature compensation model parameter according to the measurement result is output from the temperature compensation element 110. Specifically, values R.sub.o(θ), R.sub.i(θ), C.sub.i(θ), L.sub.o(θ), Rw(θ) Tw(θ), and p(θ) of the parameters R.sub.0 (see the equation (10)). R, and C.sub.i(see the equation (21)),1 La (see the equation (31)). and Rw and Tw (see the equation (41)) according to the temperature θ are determined. These model parameters can be determined as average values of a good product population from mass-produced products of secondary batteries, and used as a reference model for pass/fail determination.
[0057] The temperature compensation model parameter is input from the temperature compensation element 110 to the first model parameter setting element 112, and the IIR model parameters b.sub.0(θ, T.sub.i), b.sub.i(θ, T.sub.1), and a.sub.i(θ, T.sub.1) are determined by the first model parameter setting element 112 based on the temperature compensation model parameters Ri(θ) and C.sub.i(θ) according to the first sampling period Ti (see the equations (221) to (223)). The IIR model parameters b.sub.0(θ, T.sub.1), b.sub.i(θ, T.sub.1), and a.sub.i(θ,T.sub.1). To are determined by the first model parameter setting element 12 based on the temperature compensation model parameter L.sub.o(θ) according to the first sampling period Ti (see the equations (0.321) to (323)). The FIR model parameter hk(0, Ti) is determined by the first model parameter setting element 112 based on the temperature compensation model parameters Rw(0, Ti), Tw(O, To, and p(O, Ti) according to the first sampling period T: (see the equation (40)). 100571 The voltage V(t) of the secondary battery 200 is inferred by the first voltage estimation element 114 based on the measurement result of the impulse current 1(t) ofthe secondary battery 200 according to the secondary battery model defined by the transfer function Hit) according to the first sampling period Ti as a short period (for example, about 10 ms) (see the equation (01)). In
[0058] The temperature compensation model parameter is input from the temperature compensation element. 110 to the second model parameter setting element 122, and the IIR model parameters bo(0, T.sub.2), bi( ), T2), and a,(0, T2) are determined by the second model parameter setting element 122 based on the temperature compensation model parameters R.sub.1(θ) and C( ) according to the second sampling period T2 (see the equations (221) to (223)). The IIR model parameters bo(8. T?), bi(O, T2), and ai(9. T?) are determined by the second model parameter setting element 122 based on the temperature compensation model parameter 140) according to the second sampling period T2 (see the equations (321) to (323)). The FIR model parameter hk(0. T.sub.2) is determined by the second model parameter setting element 122 based on the temperature compensation model parameters Rw(0, T--). Tw(0, T.sub.2), and p(0, T.sub.2) according to the second sampling period T2 (see the equation (40)).
[0059] The voltage V(t) of the secondary battery 200 is inferred by the second voltage estimation element 124 based on the measurement result of the impulse current I(t) of the secondary battery 200) according to the secondary battery model detined by the transfer function HWt) according to the second sampling period T2 as a long period (for example, about 1 s) (see the equation (01)). In
[0060] The voltage V(t) of the secondary battery 20(0 is input to the secondary battery inspection device 100, and the open circuit voltage OCV(t) of the secondary battery 200 is detected by the OCV detection element 102 based on input A concerned. Then, a difference C=A−B of input A=V(t) and output B=(OV(t) of the OCV detection element 10Y2 is output by the subtraction element 104. The difference C is illustrated by the down arrow C in each of
[0061] The difference C is input from the subtraction element 104 to the division element 116, and the estimation result D of the voltage V(t) of the secondary battery 200 is input from the first voltage estimation element 114 to calculate a ratio C/D of both inputs.
[0062] CID at each point of time in a first period (see
[0063] C/D at each point of time in a second period (see
[0064] The difference C is input from the subtraction element 104 to the division element 126, and the estimation result E of the voltage V(t) of the secondary battery 200 is input from the second voltage estimation element 124 to calculate a ratio of C/E of both inputs.
[0065] C/E at each point of time in a third period (see
[0066] The evaluation results of the first evaluation element 142, the second evaluation element 144, and the third evaluation element 146 are output to an output interface wired or wirelessly connected to the secondary battery inspection device 100.
[0067] Each of the first evaluation element 142, the second evaluation element 144, and the third evaluation element 146 can make the determination with one measurement to estimate which component of the secondary battery is the cause of a failure depending on the combination of the determination results.
Advantageous Effects of Invention
[0068] According to the secondary battery inspection device 100 of the present invention and the secondary battery inspection method executed thereby, for example, as illustrated in Table 1, when the determination result of C/D related to the first evaluation section has a relation to a first determination reference value y1 as expressed in equation (51), it is evaluated to be “OK (the resistance value of the cell constituent material is within a reference range).” while when the determination result of CD does not have the relation expressed in the equation (51), it is evaluated to be “NG (the resistance value of the cell constituent material exceeds the reference).”
1−γ1<C/D<1+γ1 (51)
Further, as illustrated in Table 1, when the determination result of C/D related to the second evaluation section has a relation to a second determination reference value y2 as expressed in equation (52). it is evaluated to be “OK (there is no abnormality in reactivity between the positive electrode and the negative electrode),” while when the determination result of C/D does not have the relation expressed in the equation (52), it is evaluated to be “NO (there is abnormality in reactivity between the positive electrode and the negative electrode).”
1−γ2<C/D<1+72 (52)
[0069] Further, as illustrated in Table 1, when the determination result of C/E related to the third evaluation section has a relation to a third determination reference value f3 as expressed in equation (53). it is evaluated to be “OK (there is no shortage of electrolyte, no deterioration of the electrolyte, or the like),” while when the determination result of C/E does not have the relation expressed in the equation (53), it is evaluated to be “NG (there is a shortage of electrolyte, a deterioration of the electrolyte, or the like).”
1-γ3<CID <1+γ3 (53)
[0070] Thus, according to the present invention, not only can the pass/fail determination of the secondary battery be simply made but also it can be estimated which of components of the secondary battery causes a problem by one measurement.
[0071] The evaluation results may be transmitted from the secondary battery inspection device 100 to a client such as a smartphone, a tablet terminal, or a personal computer, and output to and displayed on an output interface (display) that constitutes part of the client. Thus, since a defect factor can also be estimated while facilitating the inspection of the secondary battery 20. not only can the inspection accuracy be improved, but also a user of the client who engages in the production process can get smooth feedback.
TABLE-US-00001 TABLE 1 Determination Determination Determination Result in First Result in Second Result in Third Evaluation Evaluation Evaluation Individual Section Section Section Content Determination Determination Determination Assumed Abnormality Reference γ1 Reference γ2 Reference γ3 Factor Abnormality NG NG NG Increased of Ro Resistance of Cell Constituent Material (Contact Failure or Electrical Resistance) Abnormality OK NG NG Abnormality in of Rn, Cn Reactivity of Positive Electrode and Negative Electrode Abnormality OK OK NG Ion Diffusion of WO Reaction in Electrode. Such as Shortage or Deteriora lion of Electrolyte
DESCRIPTION OF REFERENCE NUMERALS
[0072] 100 . . . secondary battery inspection device, 102 . . . OCV detection element (voltage recognition element), 104 . . . subtraction element, 110 . . . temperature compensation element, 112 . . . first model parameter setting element, 114 . . . first voltage estimation element, 122 . . . second model parameter setting element, 124 . . . second voltage estimation element, 200 . . . secondary battery, 300 . . . charge/discharge device.