CN107255786A - A kind of ferric phosphate lithium cell LOC models - Google Patents
A kind of ferric phosphate lithium cell LOC models Download PDFInfo
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- CN107255786A CN107255786A CN201710352783.3A CN201710352783A CN107255786A CN 107255786 A CN107255786 A CN 107255786A CN 201710352783 A CN201710352783 A CN 201710352783A CN 107255786 A CN107255786 A CN 107255786A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/36—Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
- G01R31/367—Software therefor, e.g. for battery testing using modelling or look-up tables
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/36—Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
- G01R31/392—Determining battery ageing or deterioration, e.g. state of health
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Abstract
The invention discloses a kind of ferric phosphate lithium cell LOC models, including battery LOC algorithm models, equivalent-circuit model, battery capacity mathematical modeling and effective SOC Modulus Models, the equivalent-circuit model is used for the state-of-charge SOC for estimating battery open circuit voltage, the battery capacity mathematical modeling is used to estimate battery capacity, effective SOC Modulus Models are used to estimate the effective SOC coefficients of battery according to discharge and recharge number of times, the equivalent-circuit model is used for the state-of-charge for predicting battery, state-of-charge according to obtained by equivalent-circuit model, effective SOC coefficients obtained by battery capacity and effective SOC Modulus Models obtained by battery capacity mathematical modeling are calculated battery LOC.The present invention relates to cell art, a kind of ferric phosphate lithium cell LOC models, model is simple and practical to be estimated to the LOC of lithium battery with reference to battery LOC algorithm models, equivalent-circuit model, battery capacity mathematical modeling and effective SOC Modulus Models, more accurately, reliably.
Description
Technical field
The present invention relates to cell art, more particularly to a kind of ferric phosphate lithium cell LOC models.
Background technology
LOC：Life of charge, charge life.
SOC：State of Charge, state-of-charge is also dump energy.
Environmental degradation and energy crisis bring dual-pressure to the development of orthodox car, therefore electric automobile is own through turning into not
Carry out the Main way of development of automobile.Power battery pack is the energy source of electric automobile, in order to ensure electric automobile can be safe
Run, it is necessary to carry out necessarily managing and controlling to battery stability and high efficiency.Service time of battery be in battery management system most
One of important parameter, accurate perception battery LOC can provide foundation for the detection of its own with diagnosis, contribute to understanding in time
The health status of each cell of battery pack, changes the cell of aging in time, improves the bulk life time of battery pack, further
Improve the power performance of electric car.Therefore carrying out estimation to battery pack accurately and in time has very important practical significance.
Batteries of electric automobile management includes battery status estimation, balanced management, heat management and security reliability management etc., its
Middle battery status estimates not the still core of battery management and basis, also provides data foundation for vehicle energy management.
Battery LOC table shows the currently available time of battery, it is general with battery can with SOC than upper battery discharge rate come
Description.During battery use, its LOC can be gradually reduced, show as battery capacity reduction, internal driving increase, specific energy and
Specific power reduction etc..The LOC models of batteries of electric automobile are set up how effective and feasiblely, are the difficulties of batteries of electric automobile management
Topic.
The content of the invention
In order to solve the above-mentioned technical problem, it is an object of the invention to provide a kind of simple and practical ferric phosphate lithium cell LOC
Model.
The technical solution adopted in the present invention is：A kind of ferric phosphate lithium cell LOC models, including battery LOC algorithm models,
Equivalent-circuit model, battery capacity mathematical modeling and effective SOC Modulus Models, the equivalent-circuit model are used to estimate that battery is opened
The state-of-charge SOC of road voltage, the battery capacity mathematical modeling is used to estimate battery capacity, effective SOC Modulus Models
For estimating the effective SOC coefficients of battery according to discharge and recharge number of times, the equivalent-circuit model is used for the state-of-charge for predicting battery,
Battery capacity obtained by state-of-charge, battery capacity mathematical modeling and effective SOC coefficient modules according to obtained by equivalent-circuit model
Effective SOC coefficients obtained by type are calculated battery LOC.
Further, the battery LOC algorithm models are：
LOC=Ct×KEV×SOC/RD (1)
Wherein, LOC is cell individual cycle-life, CtIt is battery rated capacity, KEVIt is effective SOC coefficients, SOC is
The SOC value of battery, RDIt is discharge-rate.
Further, the equivalent-circuit model include polarization resistance, polarization capacity, ohmic internal resistance, battery terminal voltage and
Voltage source, the polarization resistance and polarization capacity parallel connection constitute RC circuits, and the RC circuits are by connecting in described ohm
Resistance be connected with the positive pole of voltage source, the positive pole of the battery terminal voltage is connected with RC circuits, the negative pole of the battery terminal voltage and
The negative pole connection of the voltage source；Corresponding mathematical modeling is set up according to the equivalent-circuit model：
Wherein, S represents the SOC of battery, VSIt is the terminal voltage of RC circuits, RSIt is the polarization resistance of battery, CSIt is the pole of battery
Change electric capacity, i is battery charging and discharging electric current, and V is battery terminal voltage, VOC(S) be battery open-circuit voltage, RiIt is in ohm of battery
Resistance；Due to the open-circuit voltage V at battery two endsOCThere is fixed relationship between the SOC of battery, set up open-circuit voltage VOCWith battery
SOC fit equation：
Vov=a+a1S+a2S2+a3S3 (3)
Wherein, the span of a values is 3.45-3.55, a1The span of value is
0.025-0.030, a2The span of value is-0.025-- 0.020, a3The value of value
Scope is 1.20-1.25；
Set up the state-of-charge SOC mathematical modelings of battery：
Wherein, S (0) is the SOC value of initial time, and η is battery efficiency；CtIt is battery rated capacity, CtWith battery
Aging and taper into, i is battery charging and discharging electric current；
Take state vector x=[S VS]T, system output y=V inputs u=i, the state space equation for obtaining system is：
Wherein,Sliding-model control is carried out to the state space equation of the system
Obtain state equation and measurement equation.
Further, the state equation and measurement equation are respectively：
Wherein, AdAnd BdTransfer matrix and input matrix respectively after discretization：
xkIt is tkThe system mode at moment；ykIt is tkWhen etching system measurement output；ukIt is tkThe system input variable at moment,
That is charging and discharging currents of battery；Vs,kIt is tkPolarizing voltage in moment equivalent-circuit model；wkFor tkThe process noise at moment, vk
For tkThe measurement noise at moment.
Further, the battery capacity is fitted by the battery capacity attenuation data obtained to circulating battery degradation
Mathematical modeling is：
Wherein, b1For constant, b1The span of value is 0.96-0.99, f1For constant, f1The span of value for-
0.002—0。
Further, effective SOC Modulus Models are：
Wherein, N is impulse electricity number of times.ROUND () is represented to the numerical value round numbers after calculating in bracket.
The beneficial effects of the invention are as follows：
A kind of ferric phosphate lithium cell LOC models of the present invention, hold with reference to battery LOC algorithm models, equivalent-circuit model, battery
Amount mathematical modeling and effective SOC Modulus Models estimate that model is simple and practical to the LOC of lithium battery, more accurately, reliably.
Brief description of the drawings
The embodiment to the present invention is described further below in conjunction with the accompanying drawings：
Fig. 1 is a kind of equivalent-circuit model schematic diagram of ferric phosphate lithium cell of the invention.
Embodiment
It should be noted that in the case where not conflicting, the feature in embodiment and embodiment in the application can phase
Mutually combination.
A kind of ferric phosphate lithium cell LOC models, including battery LOC algorithm models, equivalent-circuit model, battery capacity mathematics
Model and effective SOC Modulus Models, the equivalent-circuit model are used for the state-of-charge SOC for estimating battery open circuit voltage, described
Battery capacity mathematical modeling is used to estimate battery capacity, and effective SOC Modulus Models are used to estimate electricity according to discharge and recharge number of times
The effective SOC coefficients in pond, the equivalent-circuit model is used for the state-of-charge for predicting battery, due to the life-span in cell circulation
LOC is relevant with the SOC of battery, battery capacity and discharge-rate, state-of-charge, battery capacity according to obtained by equivalent-circuit model
Effective SOC coefficients obtained by battery capacity and effective SOC Modulus Models obtained by mathematical modeling are calculated battery LOC.
Battery LOC algorithm models of the present invention are：
LOC=Ct×KEV×SOC/RD (1)
Wherein, LOC is cell individual cycle-life, CtIt is battery rated capacity, KEVIt is effective SOC coefficients, SOC is
The SOC value of battery, RDIt is discharge-rate.
Fig. 1 is a kind of equivalent-circuit model schematic diagram of ferric phosphate lithium cell of the invention, as shown in figure 1, lithium battery is equivalent
Circuit model includes polarization resistance RS, polarization capacity CS, ohmic internal resistance Ri, battery terminal voltage V and voltage source VOC, ohmic internal resistance Ri
Simulate the energy that electric loss is consumed in charge and discharge process；Polarization resistance RSWith the polarization capacity CSParallel connection constitutes RC circuits, RC electricity
Polarization phenomena in road simulation electrochemical reaction, RC circuits pass through the ohmic internal resistance R that connectsiWith voltage source VOCPositive pole connection, electricity
Pond terminal voltage V positive pole is connected with RC circuits, battery terminal voltage V negative pole and voltage source VOCNegative pole connection, the present invention definition
For just, battery system is negative when discharging when battery system charges；Battery terminal voltage V can be obtained with direct measurement, voltage source VOCFor
The open-circuit voltage of battery.
Corresponding mathematical modeling is set up according to above-mentioned equivalent-circuit model：
Wherein, S represents the SOC of battery, VSIt is the terminal voltage of RC circuits, RSIt is the polarization resistance of battery, CSIt is the pole of battery
Change electric capacity, i is battery charging and discharging electric current, and V is battery terminal voltage, VOC(S) be battery open-circuit voltage, RiIt is in ohm of battery
Resistance；Due to the open-circuit voltage V at battery two endsOCThere is fixed relationship between the SOC of battery, set up open-circuit voltage VOCWith battery
SOC fit equation：
Vov=a+a1S+a2S2+a3S3 (3)
Wherein, the span of a values is 3.45-3.55, a1The span of value is 0.025-0.030, a2The value of value
Scope is-0.025-- 0.020 scope, a3The span of value is 1.20-1.25；
Set up the state-of-charge SOC mathematical modelings of battery：
Wherein, S (0) is the SOC value of initial time, and η is battery efficiency；CtIt is battery rated capacity, CtWith battery
Aging and taper into, i is battery charging and discharging electric current；
Take state vectorSystem exports y=V, inputs u=i, and the state space equation for obtaining system is：
Wherein,Sliding-model control is carried out to the state space equation of the system
Obtain state equation and measurement equation.
Further, the state equation and measurement equation are respectively：
Wherein, AdAnd BdTransfer matrix and input matrix respectively after discretization：
xkIt is tkThe system mode at moment；ykIt is tkWhen etching system measurement output；ukIt is tkThe system input variable at moment,
That is charging and discharging currents of battery；Vs,kIt is tkPolarizing voltage in moment equivalent-circuit model；wkFor tkThe process noise at moment, vk
For tkThe measurement noise at moment, wkAnd vkIt is the white Gaussian noise that average is zero, two noises are orthogonal.
Further, the battery capacity is fitted by the battery capacity attenuation data obtained to circulating battery degradation
Mathematical modeling is：
Wherein, b1For constant, b1The span of value is 0.96-0.99, f1For constant f1The span of value for-
0.002—0。
Further, the data obtained according to cell life experiment are fitted effective SOC Modulus Models：
Wherein, N is discharge and recharge number of times.ROUND () is represented to the numerical value round numbers after calculating in bracket.
To sum up, according to obtained by equivalent-circuit model battery capacity obtained by state-of-charge, battery capacity mathematical modeling and
Effective SOC coefficients obtained by effective SOC Modulus Models are calculated battery LOC.
A kind of ferric phosphate lithium cell LOC models of the present invention, hold with reference to battery LOC algorithm models, equivalent-circuit model, battery
Amount mathematical modeling and effective SOC Modulus Models estimate that model is simple and practical to the LOC of lithium battery, more accurately, reliably.
Above is the preferable implementation to the present invention is illustrated, but the invention is not limited to the implementation
Example, those skilled in the art can also make a variety of equivalent variations or replace on the premise of without prejudice to spirit of the invention
Change, these equivalent deformations or replacement are all contained in the application claim limited range.
Claims (6)
1. a kind of ferric phosphate lithium cell LOC models, it is characterised in that it include battery LOC algorithm models, equivalent-circuit model,
Battery capacity mathematical modeling and effective SOC Modulus Models, the equivalent-circuit model are used to estimate the charged of battery open circuit voltage
State SOC, the battery capacity mathematical modeling is used to estimate battery capacity, and effective SOC Modulus Models are used for according to charge and discharge
Electric number of times estimates the effective SOC coefficients of battery, and the equivalent-circuit model is used for the state-of-charge for predicting battery, according to equivalent circuit
It is effective obtained by battery capacity and effective SOC Modulus Models obtained by state-of-charge that model is obtained, battery capacity mathematical modeling
SOC coefficients are calculated battery LOC.
2. a kind of ferric phosphate lithium cell LOC models according to claim 1, it is characterised in that the battery LOC algorithm moulds
Type is：
LOC=Ct×KEV×SOC/RD (1)
Wherein, LOC is cell individual cycle-life, CtIt is battery rated capacity, KEVIt is effective SOC coefficients, SOC is battery
SOC value, RDIt is discharge-rate.
3. a kind of ferric phosphate lithium cell LOC models according to claim 2, it is characterised in that the equivalent-circuit model
Including polarization resistance, polarization capacity, ohmic internal resistance, battery terminal voltage and voltage source, the polarization resistance and the polarization capacity
Parallel connection constitutes RC circuits, and the RC circuits are connected by the positive pole of the connect ohmic internal resistance and voltage source, the battery-end electricity
The positive pole of pressure is connected with RC circuits, and the negative pole of the battery terminal voltage is connected with the negative pole of the voltage source；According to described equivalent
Circuit model sets up corresponding mathematical modeling：
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Wherein, S represents the SOC of battery, VSIt is the terminal voltage of RC circuits, RSIt is the polarization resistance of battery, CSIt is the polarization electricity of battery
Hold, i is battery charging and discharging electric current, and V is battery terminal voltage, VOC(S) be battery open-circuit voltage, RiIt is the ohmic internal resistance of battery；
Due to the open-circuit voltage V at battery two endsOCThere is fixed relationship between the SOC of battery, set up open-circuit voltage VOCWith battery
SOC fit equation：
Vov=a+a1S+a2S2+a3S3 (3)
Wherein, the span of a values is 3.45-3.55, a1The span of value is 0.025-0.030, a2The span of value
For-0.025-- 0.020, a3The span of value is 1.20-1.25；
Set up the state-of-charge SOC mathematical modelings of battery：
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Wherein, S (0) is the SOC value of initial time, and η is battery efficiency；CtIt is battery capacity, CtWith the aging of battery
Taper into, i is battery charging and discharging electric current；Take state vector x=[S VS]T, system output y=V, input u=i obtain system
State space equation be：
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State equation and measurement equation are obtained to the state space equation progress sliding-model control of the system.
4. a kind of ferric phosphate lithium cell LOC models according to claim 3, it is characterised in that the state equation and survey
Measuring equation is respectively：
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The measurement noise at moment.
5. a kind of ferric phosphate lithium cell LOC models according to claim 4, it is characterised in that by old to circulating battery
The battery capacity attenuation data that change experiment is obtained is fitted the battery capacity mathematical modeling：
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6. a kind of ferric phosphate lithium cell LOC models according to claim 5, it is characterised in that effective SOC coefficient modules
Type is：
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Wherein, N is impulse electricity number of times.ROUND () is represented to numerical value round numbers in bracket.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710352783.3A CN107255786B (en) | 2017-05-18 | 2017-05-18 | LOC model of lithium iron phosphate battery |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710352783.3A CN107255786B (en) | 2017-05-18 | 2017-05-18 | LOC model of lithium iron phosphate battery |
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