CN106646240A - Method for estimating maximum discharge power of lithium battery - Google Patents
Method for estimating maximum discharge power of lithium battery Download PDFInfo
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Abstract
The invention provides a method for estimating the maximum discharge power of a lithium battery, and the method is used for online estimation of current maximum discharge power of the lithium battery. The method comprises the following steps: S1, estimating the current internal resistance value R1 of the lithium battery; S2, calculating the maximum discharge current I that the lithium battery can actually output currently according to the current internal resistance value R1 of the lithium battery; S3, calculating the current maximum discharge power P of the lithium battery according to the maximum discharge current I that the lithium battery can actually output currently. The method provided by the invention is good in robustness, is higher in precision, is small in calculation amount, is convenient for the adjustment of parameters, and facilitates the engineering implementation.
Description
Technical field
The present invention relates to a kind of evaluation method of lithium battery maximum discharge power.
Background technology
The maximum discharge power of lithium battery, it can be estimated that battery power output under different conditions
The limit.Therefore, the calculating of the maximum discharge power of lithium battery, for match battery and load,
Battery is rationally utilized, extends battery life, it is all significant.
The maximum discharge power of lithium battery can be entered with contrived experiment under off-line state using equipment
Row measurement, but be not suitable for the state of online evaluation lithium battery.
In recent years, the estimation on line method of some lithium battery maximum discharge powers is also occurred in that, than
Such as a kind of patent application document " power battery pack limit work(of Publication No. CN104298793A
The model of rate is counter to push away dynamic algorithm ", the patent application document " lithium of Publication No. CN103675707A
Ion battery peak power online evaluation method ", the patent Shen of Publication No. CN103675707A
Please file " a kind of peak power Forecasting Methodology of electrokinetic cell " etc..These are maximum to lithium battery
The method that the assessment of discharge power is calculated, model is complicated, difficulty of parameter tuning, for mainly by
Over-burden for the battery management system of MCU controls, there is very big obstacle on engineering construction.
It is, therefore, desirable to provide a kind of robustness is good, precision is higher, the convenient lithium electricity of parameter adjustment
Pond maximum discharge power estimation on line method.
The content of the invention
For this purpose, the invention provides a kind of evaluation method of lithium battery maximum discharge power, is used for
The current maximum discharge power of estimation on line lithium battery, comprises the steps:S1. the lithium is estimated
The current internal resistance value R of battery1;S2. the currently practical energy of the lithium battery is calculated according to equation below
The maximum discharge current I of enough output:Wherein,
UOCVxIt is the lithium battery in current electricity SOCxUnder open-circuit voltage values, UminFor the lithium
There are minimum output voltage during electric current, I in the outside of batterymaxSpecified maximum for the lithium battery is defeated
Go out electric current;S3. according to the currently practical maximum discharge current I that can be exported of the lithium battery,
Calculate the current maximum discharge power P of the lithium battery.
Preferably, calculate the current maximum of the lithium battery according to equation below in step s3 to put
Electrical power P:P=Umin×I。
Further, step S1 includes:S1-1. the initial internal resistance of the lithium battery is obtained
Value R0, initial internal resistance value R0Making a reservation for electricity when recycling first time for the lithium battery
Amount SOC0With predetermined temperature T0Under internal resistance value;S1-2. according to the electricity that the lithium battery is current
SOCxCalculate the electricity correction factor α to internal resistance valueSOC, according to the current circulation of the lithium battery
Access times j calculates the Capacity fading factor alpha to internal resistance valueH, worked as according to the lithium battery
Front temperature t calculates the temperature correction coefficient α to internal resistance valueW;S1-3. calculated according to equation below
The internal resistance value R of presently described lithium battery1:R1=R0×αSOC×αH×αW。
Preferably, the predetermined electricity SOC0More than or equal to the first electricity SOC1, described first
Electricity SOC1Determined according to the following distribution of the lithium battery:When the electricity of the lithium battery it is big
In or equal to the first electricity SOC1When, the variable quantity of its internal resistance value is less than first predetermined value;
When the electricity of the lithium battery is less than the first electricity SOC1When, the variable quantity of its internal resistance value is big
In second predetermined value, wherein, the first predetermined value is not more than the second predetermined value.
Further, the electricity correction factor αSOCCalculated by equation below:
Wherein,Follow in first time for the lithium battery
In predetermined temperature T when ring is used0Lower electricity is the second electricity SOC2When internal resistance value, described second
Electricity SOC2Less than the first electricity SOC1。
Further, the Capacity fading factor alphaHCalculated by equation below:
Wherein, J is the global cycle access times of the lithium battery,
RJ/2In predetermined electricity SOC after recycling at the J/2 time for the lithium battery0And predetermined temperature
T0Under internal resistance value, RJIn predetermined electricity SOC after recycling at the J time for the lithium battery0
With predetermined temperature T0Under internal resistance value.
Further, the temperature correction coefficient αWCalculated according to the temperature lookup table for prestoring,
Wherein, the temperature lookup table includes multiple temperature t1, t2 ..., tN and with the plurality of temperature point
Not corresponding temperature correction coefficient αW1,αW2,...,αWN.The plurality of temperature t1, t2 ..., tN includes spy
Constant temperature degree tx, its value is equal to the predetermined temperature T0;Also, it is corresponding with the specified temp tx
Temperature correction coefficient αWxFor 1.
Preferably, the predetermined electricity SOC0For 50%, the first electricity SOC1For 30%,
The second electricity SOC2For 10%.
The evaluation method of the lithium battery maximum discharge power of the present invention, it is current by obtaining lithium battery
Electricity, recycle number of times and temperature to estimate the maximum discharge power of lithium battery,
Its operand is less, and Project Realization is convenient.
Description of the drawings
Fig. 1 is the schematic flow sheet of the evaluation method of the lithium battery maximum discharge power of the present invention;
Fig. 2 is the schematic flow sheet of step S1 in Fig. 1.
Specific embodiment
With reference to the accompanying drawings and detailed description to lithium battery maximum discharge power of the invention
Evaluation method is described in further detail, but not as a limitation of the invention.
The invention provides a kind of evaluation method of lithium battery maximum discharge power, for estimating online
Calculate the current maximum discharge power of lithium battery.As shown in figure 1, the method includes:
Step S1:
According to the current electricity SOC of lithium batteryx, current recycling number of times j and current
Temperature t, estimate the current internal resistance value R of lithium battery1。
Specifically, step S1 also includes following sub-step:
Sub-step S1-1:
Obtain initial internal resistance value R of lithium battery0.Initial internal resistance value R0Refer to, lithium battery is first
During secondary recycling, in predetermined electricity SOC0With predetermined temperature T0Under internal resistance value.
Initial internal resistance value R0Can be the internal resistance value of off-line measurement under these conditions, Ran Houbao
Deposit in memory, needing the internal resistance value R of estimation on line lithium battery1When, read from memory
Obtain.
One cycle recycles refer to lithium battery for the first time using a charge and discharge process is referred to
It is not carry out the new battery that charge and discharge cycles use process.
Predetermined electricity SOC0Selection need consider lithium battery in the predetermined electricity SOC0When internal resistance
Value must be stable.Due to the internal resistance value of lithium battery it is more stable when electricity is sufficient (when
The electricity of lithium battery is more than or equal to the first electricity SOC1When its internal resistance value variable quantity be less than first
Predetermined value), and electricity is less than the first electricity SOC1When can significantly increase (i.e. when the electricity of lithium battery
Less than the first electricity SOC1When its internal resistance value variable quantity be more than second predetermined value, wherein first is pre-
Definite value is not more than second predetermined value), therefore, predetermined electricity SOC0Need electric more than or equal to first
Amount SOC1。
Jing experiments can be obtained, first electricity SOC1Preferred value be 30%.Predetermined electricity SOC0's
Selection is needed more than or equal to 30%, according to the predetermined use state of lithium battery, predetermined electricity
SOC0Preferred value be recommended as 50%.
Predetermined temperature T0The common temperature of lithium battery is referred to, lithium battery can be selected in normal work
When within the temperature range of any one temperature value as predetermined temperature T0, such as 20 DEG C.
Sub-step S1-2:
According to the current electricity SOC of lithium batteryxCalculate the electricity correction factor α to internal resistance valueSOC,
The Capacity fading coefficient to internal resistance value is calculated according to the current recycling number of times j of lithium battery
αH, the temperature correction coefficient α to internal resistance value is calculated according to current temperature t of lithium batteryW。
The current electricity SOC of lithium batteryx, current recycling number of times j and current temperature t
Can obtain from the output of the real-time management system of lithium battery.
Electricity correction factor α
SOC
Calculating:
Electricity correction factor αSOCThe current electricity SOC of reaction lithium batteryxShadow to its internal resistance value
Ring, i.e., from initial internal resistance value R0To current internal resistance value R1Due to the internal resistance value caused by electric quantity change
Intensity of variation.
Because the internal resistance value of lithium battery is more than or equal to the first electricity SOC in electricity1When it is more steady
It is fixed, and it is less than the first electricity SOC in electricity1When can significantly increase, it is therefore preferred that electricity
Correction factor αSOCCan be calculated by equation below 1:
Formula 1
Wherein,For lithium battery first time recycle when in predetermined temperature T0Lower electricity is
Second electricity SOC2When internal resistance value, the second electricity SOC2It is less than the first electricity SOC1One
Charge value, preferably second electricity SOC2For 10%.
Certainly, electricity correction factor αSOCCan also be calculated using other methods.For example, Jing
Germicidal efficacy finds that the internal resistance value of lithium battery is SOC in its electricity1~SOC3Between when it is more steady
It is fixed, and less than SOC1Or more than SOC3When linear or similar linear change, therefore,
Alternatively, electricity correction factor αSOCCan be calculated by equation below 1 ':
Formula 1 '
Wherein:
RSOClFor lithium battery first time recycle when in predetermined temperature T0When lower electricity is SOCl
Internal resistance value, i.e., with initial internal resistance value R0Internal resistance when other conditions are identical but electricity is SOCl
Value, wherein SOCl meets 0 < SOCl < SOC1, i.e., less than SOC1Segmentation in electricity representative
Value, its preferred value is 10%;
RSOChFor lithium battery first time recycle when in predetermined temperature T0When lower electricity is SOCh
Internal resistance value, i.e., with initial internal resistance value R0Internal resistance when other conditions are identical but electricity is SOCh
Value, wherein SOCh meets SOC3< SOCh < 100, i.e., more than SOC3Segmentation in electricity generation
Tabular value, its preferred value is 90%.
In equation 1, electricity correction factor αSOCIt is divided to two sections to be calculated, wherein big in its electricity
In or equal to SOC1When electricity correction factor αSOCFor 1, in electricity SOC is less than1The electricity of Shi Yi tri-
SOC3When internal resistance value correction factor be this section electricity correction factor αSOC.And in formula 1 '
In, electricity correction factor αSOCDivide three sections to be calculated, wherein being SOC in its electricity1~SOC2It
Between when electricity correction factor αSOCFor 1, electricity is calculated by linear formula when electricity is other values
Correction factor αSOC.Obviously the method for formula 1 is easier than the method for formula 1 ', but formula 1 '
Method is more accurate than the method for formula 1.
Additionally, electricity correction factor αSOCCan also there are other computational methods, for example, Ke Yitong
Cross off-line measurement value and set up look-up table, then electricity is obtained by look-up table in line computation and repaiied
Positive coefficient αSOC。
Capacity fading factor alpha
H
Calculating:
Capacity fading factor alphaHThe current recycling number of times of reaction lithium battery is to its internal resistance value
Impact, i.e., from initial internal resistance value R0To current internal resistance value R1Due to recycling increasing for number of times
The intensity of variation of caused internal resistance value.
Capacity fading factor alphaHCalculated by equation below 2:
Formula 2
Wherein, J for lithium battery global cycle access times, i.e. the recycling number of times of maximum possible,
Namely cycle life;RJ/2For lithium battery the J/2 time recycle when in predetermined electricity SOC0With
Predetermined temperature T0Under internal resistance value;RJFor lithium battery the J time recycle when in predetermined electricity
SOC0With predetermined temperature T0Under internal resistance value.
The method of formula 2 is by Capacity fading factor alphaHCarry out segmentation calculating, per section of selection
One representative value is representing the Capacity fading factor alpha in the segmentationH.It is understood that
The computational methods of formula 2, are simply segmented an example of calculating, and those skilled in the art are in public affairs
Other similar computational methods that swap out can also be become under the enlightenment of formula 2.
Additionally, Capacity fading factor alphaHCan also be calculated by additive method.For example,
Capacity fading factor alphaHCan also be calculated by equation below 2 ':
Formula 2 '
Wherein, RJ0In predetermined electricity SOC after recycling at the J time for lithium battery0With pre- constant temperature
Degree T0Under internal resistance value.
It is understood that Capacity fading factor alphaHThere can also be other computational methods,
For example, look-up table can be set up by off-line measurement value, look-up table is then passed through in line computation
To obtain Capacity fading factor alphaH。
Temperature correction coefficient α
W
Calculating:
Temperature correction coefficient αWImpact of reaction current temperature t of lithium battery to its internal resistance value, i.e., from
Initial internal resistance value R0To current internal resistance value R1Due to the change journey of the internal resistance value caused by temperature change
Degree.
For lithium battery, temperature correction coefficient is the function of temperature.Look-up table can be used
To complete temperature correction coefficient αWCalculating, i.e., calculate temperature according to the temperature lookup table for prestoring
Correction factor αW.Temperature lookup table includes multiple temperature t1, t2 ..., tN and corresponding with each temperature
Temperature correction coefficient αW1,αW2,...,αWN, as shown in table 1:
The temperature lookup table of table 1
Temperature | Temperature correction coefficient |
t1 | αW1 |
t2 | αW2 |
... | ... |
tN | αWN |
Multiple temperature t1 in temperature lookup table, t2 ..., tN includes specified temp tx, specified temp tx
Value be equal to predetermined temperature T0.Also, temperature correction coefficient α corresponding with specified temp txWxFor
1.Lithium battery can be carried out off-line measurement and be obtained by temperature lookup table.
Temperature adjustmemt system is calculated according to current temperature t of lithium battery and the temperature lookup table for prestoring
Number αWMethod it is as follows:
If the value of current temperature t of lithium battery is included in the multiple temperature in temperature lookup table
In t1, t2 ..., tN, then the corresponding temperature correction coefficient α of temperature t current with lithium battery is directly readW
.
If the value of current temperature t of lithium battery is not included in the multiple temperature in temperature lookup table
In t1, t2 ..., tN, then there are various methods to can determine corresponding temperature correction coefficient αW.With
Under enumerate two methods, respectively adjacent to method and linear approach.
1) neighbouring method:
Immediate temperature tn of value of temperature t current with lithium battery in temperature lookup table is found, then
Read the temperature correction coefficient α corresponding to immediate temperature tnWnFor the current temperature of lithium battery
The temperature correction coefficient α of tW。
2) linear approach:
By immediate two temperature of the value of temperature t current with lithium battery in temperature lookup table
Tn1, tn2 and two corresponding temperature correction coefficient αWn1,αWn2Carry out linear fit, obtain with
The corresponding temperature correction coefficient α of current temperature t of lithium batteryWtFor temperature correction coefficient αW, i.e.,
More than, by sub-step S1-2, complete electricity correction factor αSOC, circulation volume declines
Subtract factor alphaHAnd temperature correction coefficient αWCalculating.
Sub-step S1-3:
The internal resistance value R of presently described lithium battery is calculated according to equation below 31:
R1=R0×αSOC×αH×αWFormula 3
It will be appreciated by persons skilled in the art that above-mentioned sub-step S1-2 and S1-3 can merge,
That is, it is not first to calculate each correction factor to calculate final internal resistance value again, but directly calculates and repair
Internal resistance value after just.For example, first according to the current electricity SOC of lithium batteryxAfter calculating electricity amendment
Internal resistance value R'=R0×αSOC, further according to the current recycling number of times j of lithium battery calculate electricity and
The revised internal resistance value R of cycle-index "=R' × αH, finally according to the current temperature t meter of lithium battery
Calculate the current internal resistance value R of lithium battery1=R " × αW.It can also be appreciated that in aforementioned calculating
Sequencing can be converted, however it is not limited to the listed this computation sequence enumerated.
More than, by step 1, complete the internal resistance value R current to lithium battery1Estimation.
Step S2:
According to the current internal resistance value R of lithium battery1, working as lithium battery is calculated according to equation below 4
The front maximum discharge current I that actually can be exported:
Formula 4
Wherein,UOCVxIt is lithium battery in current electricity SOCxUnder open circuit
Magnitude of voltage, i.e. lithium battery are currently able to the highest magnitude of voltage for providing, and can pass through off-line measurement
And obtain;UminMinimum output voltage when having an electric current for the outside of lithium battery, in correspondence lithium battery
Resistance has the output voltage of electric current when minimum;ImaxIt is for the specified maximum output current of lithium battery, i.e., defeated
Go out the higher limit of electric current permission.
Step S3:
According to the currently practical maximum discharge current I that can be exported of lithium battery, according to equation below
The 5 maximum discharge power Ps current to calculate lithium battery:
P=Umin× I formula 5
There is the output voltage U of electric current when minimum with lithium battery internal resistanceminWith it is currently practical can
The product of the maximum discharge current I of the output maximum discharge power P current to calculate lithium battery.
Illustrate the lithium battery internal resistance evaluation method of the present invention with an example below.
Certain type needs the lithium battery of its internal resistance value of estimation on line, its current electricity SOCxFor 20%,
Current temperature t is 40 DEG C.
Sub-step S1-1:
It is obtained in 20 DEG C of (predetermined temperature T0) under 50% electricity (predetermined electricity SOC0) stylish
The internal resistance value of battery (recycling for the first time) is 5.56m Ω (initial internal resistance values R0), i.e., initially
Internal resistance value R0=5.56m Ω.
Sub-step S1-2:
The type lithium battery is obtained in 20 DEG C of (predetermined temperature T0) under 10% electricity (the second electricity SOC2)
Down the internal resistance value of new battery is 11.76m Ω
Electricity correction factor α is calculated by equation below 6SOC:
Formula 6
The cycle life of the type lithium battery be 1000 times (J), 1000 times circulation after 50% electricity
(predetermined electricity SOC0) and 20 DEG C of (predetermined temperature T0) under lithium battery internal resistance value be 14.53m Ω
(RJ), current recycling number of times is 800 times (j), then according to equation below 7 calculating
Capacity fading factor alphaH。
Formula 7
The temperature lookup table of the type lithium battery is as shown in table 2:
The temperature lookup table example of table 2
Temperature | Temperature correction coefficient |
40℃ | 0.81 |
20℃ | 1.00 |
10℃ | 1.53 |
0℃ | 3.48 |
Then obtain the temperature correction coefficient α of lithium battery by tabling look-upW=0.81.
Sub-step S1-3:
The current internal resistance value R of lithium battery is calculated according to equation below 81:
R1=R0×αSOC×αH×αW=24.92m Ω formula 8
Step S2:
Lithium battery is in 20 DEG C of (predetermined temperature T0) under 20% electricity (current electricity SOCx) under
Open-circuit voltage is 3.6V (UOCVx), there is minimum output voltage during electric current to be 3.0V outside it
(Umin), specified maximum output current is 50A (Imax).Lithium battery is calculated according to formula 9
The currently practical maximum discharge current I that can be exported:
Formula 9
Step S3:
The current maximum discharge power P of lithium battery is calculated according to formula 10:
P=Umin× I=72.3W formula 10
The evaluation method of the lithium battery maximum discharge power of the present invention, it is adaptable to the maximum of lithium battery
The estimation on line of discharge power, its pass through read lithium battery electricity, recycle number of times and
Temperature estimating the internal resistance value of lithium battery, then according to the dynamic internal resistance value calculating maximum electric discharge
Electric current and maximum discharge power.Its advantage is:
1) estimation on line can be carried out without the need for additional any detection device, lithium battery group can be reduced
Complexity;
2) detected value of the current voltage and current of lithium battery, estimation result reliability are not relied on.
Because the measured value fluctuation of the online voltage and current of lithium battery is very big, often there is saltus step in Jing, because
This also can undergo mutation according to the internal resistance value of the voltage and current value of on-line measurement estimation.And this
The evaluation method of bright lithium battery maximum discharge power, when internal resistance estimation is carried out, without employing
The electric current and magnitude of voltage of on-line measurement, it is to avoid because measured value is forbidden the evaluated error that causes;
3) evaluation method of lithium battery of the invention maximum discharge power, its method is easy, calculates
Amount is less, is easy to Project Realization.
Above specific embodiment is only the illustrative embodiments of the present invention, it is impossible to for limiting
The present invention, protection scope of the present invention is defined by the claims.Those skilled in the art can be with
In the essence and protection domain of the present invention, various modifications or equivalent are made to the present invention,
These modifications or equivalent also should be regarded as being within the scope of the present invention.
Claims (10)
1. a kind of evaluation method of lithium battery maximum discharge power, works as estimation on line lithium battery
Front maximum discharge power, it is characterised in that comprise the steps:
S1. the current internal resistance value R of the lithium battery is estimated1;
S2. the currently practical maximum that can be exported for calculating the lithium battery according to equation below is put
Electric current I:
Wherein,UOCVxIt is the lithium battery in current electricity SOCxUnder
Open-circuit voltage values, UminMinimum output voltage when having an electric current for the outside of the lithium battery, ImaxFor
The specified maximum output current of the lithium battery;
S3. according to the described currently practical maximum discharge current I that can be exported of the lithium battery,
Calculate the current maximum discharge power P of the lithium battery.
2. lithium battery internal resistance value evaluation method according to claim 1, it is characterised in that
In step s3 the current maximum discharge power P of the lithium battery is calculated according to equation below:
P=Umin×I。
3. the evaluation method of lithium battery according to claim 1 maximum discharge power, it is special
Levy and be, step S1 includes:
S1-1. initial internal resistance value R of the lithium battery is obtained0, initial internal resistance value R0For described
Lithium battery is when recycling in predetermined electricity SOC first time0With predetermined temperature T0Under internal resistance
Value;
S1-2. according to the electricity SOC that the lithium battery is currentxCalculate the electricity amendment to internal resistance value
Factor alphaSOC, the circulation to internal resistance value is calculated according to the current recycling number of times j of the lithium battery
Capacity attenuation factor alphaH, the temperature to internal resistance value is calculated according to current temperature t of the lithium battery and is repaiied
Positive coefficient αW;
S1-3. the internal resistance value R of presently described lithium battery is calculated according to equation below1:
R1=R0×αSOC×αH×αW。
4. the evaluation method of lithium battery according to claim 3 maximum discharge power, it is special
Levy and be, the predetermined electricity SOC0More than or equal to the first electricity SOC1, first electricity
SOC1Determined according to the following distribution of the lithium battery:When the lithium battery electricity be more than or
Equal to the first electricity SOC1When, the variable quantity of its internal resistance value is less than first predetermined value;Work as institute
The electricity for stating lithium battery is less than the first electricity SOC1When, the variable quantity of its internal resistance value is more than the
Two predetermined values, wherein, the first predetermined value is not more than the second predetermined value.
5. the evaluation method of lithium battery according to claim 4 maximum discharge power, it is special
Levy and be, the electricity correction factor αSOCCalculated by equation below:
For the lithium battery first time recycle when in predetermined temperature T0Lower electricity is the
Two electricity SOC2When internal resistance value, the second electricity SOC2Less than the first electricity SOC1。
6. the evaluation method of lithium battery according to claim 3 maximum discharge power, it is special
Levy and be, the Capacity fading factor alphaHCalculated by equation below:
J is the global cycle access times of the lithium battery, RJ/2It is the lithium battery at the J/2 time
In predetermined electricity SOC after recycling0With predetermined temperature T0Under internal resistance value, RJFor lithium electricity
Pond is after the J time recycling in predetermined electricity SOC0With predetermined temperature T0Under internal resistance value.
7. lithium battery internal resistance value evaluation method according to claim 3, it is characterised in that
The temperature correction coefficient αWCalculated according to the temperature lookup table for prestoring, wherein, the temperature
Look-up table include multiple temperature t1, t2 ..., tN and with the plurality of temperature corresponding temperature adjustmemt of difference
Factor alphaW1,αW2,...,αWN。
8. lithium battery internal resistance value evaluation method according to claim 7, it is characterised in that
The plurality of temperature t1, t2 ..., tN include specified temp tx, and its value is equal to the predetermined temperature T0;
Also, temperature correction coefficient α corresponding with the specified temp txWxFor 1.
9. the evaluation method of lithium battery according to claim 3 maximum discharge power, it is special
Levy and be, the predetermined electricity SOC0For 50%.
10. the evaluation method of lithium battery according to claim 5 maximum discharge power, its
It is characterised by, the first electricity SOC1For 30%, the second electricity SOC2For 10%.
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