CN105717460B - A kind of power battery SOC methods of estimation and system based on nonlinear observer - Google Patents

A kind of power battery SOC methods of estimation and system based on nonlinear observer Download PDF

Info

Publication number
CN105717460B
CN105717460B CN201610093763.4A CN201610093763A CN105717460B CN 105717460 B CN105717460 B CN 105717460B CN 201610093763 A CN201610093763 A CN 201610093763A CN 105717460 B CN105717460 B CN 105717460B
Authority
CN
China
Prior art keywords
mtd
msub
mtr
soc
mrow
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN201610093763.4A
Other languages
Chinese (zh)
Other versions
CN105717460A (en
Inventor
田勇
田劲东
李东
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shenzhen University
Original Assignee
Shenzhen University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Shenzhen University filed Critical Shenzhen University
Priority to CN201610093763.4A priority Critical patent/CN105717460B/en
Publication of CN105717460A publication Critical patent/CN105717460A/en
Application granted granted Critical
Publication of CN105717460B publication Critical patent/CN105717460B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/385Arrangements for measuring battery or accumulator variables
    • G01R31/387Determining ampere-hour charge capacity or SoC

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Secondary Cells (AREA)

Abstract

The invention discloses a kind of power battery SOC methods of estimation based on nonlinear observer, including:Power battery carries out intermittent electric discharge and stands experiment, draws SOC and OCV expression formulas;Establish battery equivalent circuit model;Determine each parameter value of model;Build the separate manufacturing firms model of battery;Design self-adaptation nonlinear observer;Determine optimization object function;Solve optimal value of the parameter;Calculate the estimate of battery SOC.A kind of power battery SOC estimating systems based on optimal self-adaptation nonlinear observer, including power battery SOC OCV expression formula determining modules;Equivalent-circuit model establishes module;Parameter determination module;Power battery SOC estimates separate manufacturing firms model determining module;Self-adaptation nonlinear Design of Observer module;Parameter optimization object function determining module;Optimized parameter solves module;Power battery SOC estimation modules.Which raises SOC estimated accuracies, reduce algorithm calculation amount, are conducive to hardware realization, applied to electric automobile power battery management system field.

Description

A kind of power battery SOC methods of estimation and system based on nonlinear observer
Technical field
The present invention relates to electric automobile power battery management system field, more particularly to one kind based on optimal adaptive non- The power battery SOC methods of estimation and system of Systems with Linear Observation device.
Background technology
Power battery is one of core component of electric vehicle, directly influences distance travelled, acceleration and the climbing of vehicle The performance indicators such as ability.Battery management system (Battery Management System, BMS) is responsible for carrying out state to battery The management and control of monitoring, electric quantity balancing, heat management, energy distribution etc., to extending battery, improving battery peace Quan Xing, reduction battery Life cycle use cost etc. are of great significance.State-of-charge (State of Charge, SOC) is Reflect an important indicator of battery dump energy and ability of doing work, be battery charging and discharging control, health status monitoring, energy point Match somebody with somebody and the important evidence of the functions such as electric quantity balancing.However, shadow of the battery SOC by factors such as temperature, electric current, cycle-indexes It rings, there is apparent uncertain and very strong nonlinear characteristic, therefore accurately estimation is considered as battery management system to SOC online System is studied and one of the core in design process and Technology Difficulties.
At present, disclosed power battery SOC methods of estimation mainly include both at home and abroad:Internal resistance method, current integration method (also referred to as storehouse Logical sequence measurement Law), open circuit voltage method, neural network, Kalman filtering method and observer method etc..Wherein, internal resistance method is according to battery Functional relation between internal resistance and SOC calculates battery SOC by detecting the internal resistance of cell, however it is online, accurately measure battery Internal resistance has difficulties, and limits application of this method in Practical Project.Although current integration method principle is simple, is easily achieved, But the initial error and the cumulative errors because of caused by current measurement inaccuracy that SOC can not be eliminated.Open circuit voltage method according to Open-circuit voltage (Open-Circuit Voltage, OCV) and the correspondence of SOC calculate battery SOC, it is necessary to which battery is abundant OCV could be measured after standing, therefore is not suitable for the On-line Estimation of SOC.Neural network, it is necessary to substantial amounts of training sample, by In the sample data that can not possibly obtain covering all actual conditions in practical applications, thus its precision will be subject to it is certain It influences, and this method is computationally intensive is difficult to realize within hardware.Kalman filtering method and observer method, can correct well The initial error of battery SOC, and with good anti-noise ability, but calculation amount is relatively large, hardware realization is difficult.It is so existing In practical applications, all to some extent there are certain inconvenience and defect, therefore have must for some power battery SOC methods of estimation It is further to be improved.
The content of the invention
In order to solve the above-mentioned technical problem, the object of the present invention is to provide a kind of precision is high, adaptable, calculation amount is small The power battery SOC methods of estimation and system based on nonlinear observer.
The technical solution adopted in the present invention is:A kind of power battery SOC methods of estimation based on nonlinear observer, bag Include step:
Intermittent electric discharge-standing experiment is carried out to power battery, fitting draws SOC and OCV
Between function expression;
Establish the equivalent-circuit model of power battery;
Determine each parameter value of power battery equivalent-circuit model;
Establish the separate manufacturing firms model of the power battery for SOC estimations;
Self-adaptation nonlinear observer designed for battery SOC estimation;
It determines for the object function of self-adaptation nonlinear observer parameter optimization;
Solve the most optimized parameter value of self-adaptation nonlinear observer;
The estimate of battery SOC is calculated using optimal self-adaptation nonlinear observer.
As the improvement of the technical solution, the battery model for battery parameter identification is equivalent using n ranks RC Circuit model, wherein n >=1.
As the improvement of the technical solution, the battery model parameter is real by carrying out pulsed discharge-standing to battery It tests, is obtained according to corresponding voltage response curves using exponentially fitted method off-line identification.
As the improvement of the technical solution, the SOC methods of estimation employ optimal self-adaptation nonlinear observer.
As the improvement of the technical solution, the value of the gain matrix of the self-adaptation nonlinear observer is formulated For:
Wherein, aij(i, j=1,2 ..., n) it is first for the i-th row j row of the coefficient matrix in battery system state-space model Element;
kii(0.1+|ey|/(|ey|+0.1) (i=1,2 ..., n+1), αiFor proportionality coefficient (be more than zero real number), eyFor systematic observation error.
As the improvement of the technical solution, the proportionality coefficient of the gain matrix of the optimal self-adaptation nonlinear observer is adopted Optimized design has been carried out with swarm intelligence searching algorithm.
As the improvement of the technical solution, the gain matrix proportionality coefficient for optimal self-adaptation nonlinear observer The swarm intelligence searching algorithm of optimized design is using particle swarm optimization algorithm.
Further, the optimized design of the gain matrix proportionality coefficient of the optimal self-adaptation nonlinear observer be with The minimum target of absolute average error under measurement condition between battery SOC estimate and reference value, wherein:
Object function:minZ(α123)=mean (abs (SOCr-SOCe))
Wherein, mean () is is averaged function, and abs () is the function that takes absolute value, SOCrFor the reference value of SOC (can usually be obtained by current integration method), SOCeFor the estimate of SOC.
The present invention also provides a kind of power battery SOC estimating systems based on optimal self-adaptation nonlinear observer, including:
Power battery SOC-OCV relational expression determining modules, it is real for carrying out intermittent electric discharge-standing to power battery It tests, fitting draws the function expression between SOC and OCV;Electrokinetic cell system equivalent-circuit model establishes module, for establishing The equivalent-circuit model of power battery;
Electrokinetic cell system equivalent circuit model parameter determining module, for determining each of power battery equivalent-circuit model Parameter value;
Power battery SOC estimates separate manufacturing firms model determining module, for establishing the power battery for SOC estimations Separate manufacturing firms model;
The self-adaptation nonlinear Design of Observer module of power battery SOC estimations, for being designed for battery SOC estimation Self-adaptation nonlinear observer;
Self-adaptation nonlinear observer parameter optimization object function determining module, for determining to see for self-adaptation nonlinear Survey the object function of device parameter optimization;
The particle swarm optimization algorithm module of self-adaptation nonlinear observer the most optimized parameter, it is adaptive non-for solving The most optimized parameter value of Systems with Linear Observation device;
Power battery SOC estimation modules based on optimal nonlinear observer, for being seen using optimal self-adaptation nonlinear Survey the estimate that device calculates battery SOC.
The beneficial effects of the invention are as follows:The present invention uses the power battery SOC based on optimal self-adaptation nonlinear observer Method of estimation and system, wherein nonlinear observer, compared to traditional Kalman filtering, sliding mode observer and neutral net etc. Method, precision is quite but computation complexity is lower, is easier to hardware realization, and self-adaptation nonlinear observer is compared with traditional Constant-gain nonlinear observer, the value of gain matrix can be adaptively adjusted according to systematic observation error, contribute to Improve estimated accuracy of the algorithm for estimating to noise and adaptability and SOC;Optimal self-adaptation nonlinear observer, adaptive It answers and optimization processing has been done to the proportionality coefficient of gain matrix on the basis of nonlinear observer, SOC can be further improved and estimated Count precision.Therefore, outstanding advantages of the invention are to improve SOC estimated accuracies, while reduce algorithm calculation amount, are conducive to firmly Part is realized.
Description of the drawings
The specific embodiment of the present invention is described further below in conjunction with the accompanying drawings:
Fig. 1 is the flow chart of the battery SOC method of estimation of one embodiment of the invention;
Fig. 2 is the battery Order RC equivalent-circuit model schematic diagram of one embodiment of the invention;
Fig. 3 is the voltage response curves of the cell pulse discharge of one embodiment of the invention;
Fig. 4 passes through particle swarm optimization algorithm self-adaptation nonlinear observer gain matrix for one embodiment of the invention The flow chart of proportionality coefficient;
Fig. 5 passes through particle swarm optimization algorithm self-adaptation nonlinear observer gain matrix for one embodiment of the invention The convergence curve of global optimum during proportionality coefficient;
Fig. 6 is the measurement condition current-responsive curve for being used to verify battery SOC estimated accuracy of one embodiment of the invention;
Fig. 7 is the measurement condition voltage response curves for being used to verify battery SOC estimated accuracy of one embodiment of the invention;
Fig. 8 is the SOC test result schematic diagrames of the battery SOC method of estimation of one embodiment of the invention;
Fig. 9 is the SOC error testing result schematic diagrams of the battery SOC method of estimation of one embodiment of the invention;
Figure 10 is the functional block diagram of the battery SOC estimating system of one embodiment of the invention.
Specific embodiment
It should be noted that in the case where there is no conflict, the feature in embodiment and embodiment in the application can phase Mutually combination.
In order to improve the Accuracy and high efficiency of Prospect of EVS Powered with Batteries SOC estimations, the embodiment of the present invention provides one Power battery SOC method of estimation and system of the kind based on optimal self-adaptation nonlinear observer.
A kind of power battery SOC methods of estimation based on nonlinear observer, including step:
Intermittent electric discharge-standing experiment is carried out to power battery, fitting draws the function expression between SOC and OCV;
Establish the equivalent-circuit model of power battery;
Determine each parameter value of power battery equivalent-circuit model;
Establish the separate manufacturing firms model of the power battery for SOC estimations;
Self-adaptation nonlinear observer designed for battery SOC estimation;
It determines for the object function of self-adaptation nonlinear observer parameter optimization;
Solve the most optimized parameter value of self-adaptation nonlinear observer;
The estimate of battery SOC is calculated using optimal self-adaptation nonlinear observer.
As the improvement of the technical solution, the battery model for battery parameter identification is equivalent using n ranks RC Circuit model, wherein n >=1.
As the improvement of the technical solution, the battery model parameter is real by carrying out pulsed discharge-standing to battery It tests, is obtained according to corresponding voltage response curves using exponentially fitted method off-line identification.
As the improvement of the technical solution, the SOC methods of estimation employ optimal self-adaptation nonlinear observer.
As the improvement of the technical solution, the value of the gain matrix of the self-adaptation nonlinear observer is formulated For:
Wherein, aij(i, j=1,2 ..., n) it is first for the i-th row j row of the coefficient matrix in battery system state-space model Element;
kii(0.1+|ey|/(|ey|+0.1) (i=1,2 ..., n+1), αiFor proportionality coefficient (be more than zero real number), eyFor systematic observation error.
As the improvement of the technical solution, the proportionality coefficient of the gain matrix of the optimal self-adaptation nonlinear observer is adopted Optimized design has been carried out with swarm intelligence searching algorithm.
As the improvement of the technical solution, the gain matrix proportionality coefficient for optimal self-adaptation nonlinear observer The swarm intelligence searching algorithm of optimized design is using particle swarm optimization algorithm.
Further, the optimized design of the gain matrix proportionality coefficient of the optimal self-adaptation nonlinear observer be with The minimum target of absolute average error under measurement condition between battery SOC estimate and reference value, wherein:
Object function:minZ(α123)=mean (abs (SOCr-SOCe))
Wherein, mean () is is averaged function, and abs () is the function that takes absolute value, SOCrFor the reference value of SOC (can usually be obtained by current integration method), SOCeFor the estimate of SOC.
A kind of power battery SOC methods of estimation based on optimal self-adaptation nonlinear observer, as shown in Figure 1, including with Lower step:
S101, intermittent electric discharge-standing experiment is carried out to power battery at ambient temperature, is intended according to obtained experimental data The relational expression for closing out SOC-OCV (is denoted as OCV=focv(SOC)) different SOC values pair and in conduct SOC estimation procedures are asked for The benchmark for the OCV values answered.
As one embodiment of the present of invention, use the SOC-OCV relational expressions that 5 rank multinomials are fitted for:
OCV=focv(SOC)
=12.5801 × SOC5-35.3081×SOC4+36.3924×SOC3-16.7012×SOC2+4.0110×SOC+ 3.2030
S102, the equivalent-circuit model for establishing power battery.
Common battery model includes:Electrochemical model, neural network model and equivalent-circuit model etc., wherein, it is equivalent Circuit model is more suited to battery parameter identification and SOC estimations.As one embodiment of the present of invention, Fig. 2 gives battery Second order equivalent-circuit model, is apparent from by Fig. 2:
Wherein, ItRepresent battery-end electric current, RoRepresent ohmic internal resistance, Rp1And Cp1Activation polarization internal resistance and activation are represented respectively Polarization capacity, Rp2And Cp2Concentration polarization internal resistance and concentration polarization capacitance, τ are represented respectively1=Rp1Cp1, τ2=Rp2Cp2
S103, each parameter value for determining power battery equivalent-circuit model.
As one embodiment of the present of invention, battery progress pulse is put using 2C constant current values at SOC=70% Electricity-standing is tested, and the voltage responsive during record is distinguished according to gained voltage response curves (attached drawing 3) using exponentially fitted method Know each parameter value for battery equivalent circuit model.The principle and application method of exponential function fitting are summarized as follows:
(1) obviously, it is as follows to be represented by exponential function for the AB sections in voltage response curves shown in Fig. 3:
(2) contrast equation (1) and (2) can obtain:
(3) in addition, battery model parameter RoIt can be obtained by following equation:
S104, establish for the separate manufacturing firms model of the SOC power batteries estimated.
As one embodiment of the present of invention, battery SOC is established according to battery Order RC equivalent-circuit model shown in Fig. 2 The separate manufacturing firms model of estimation is as follows:
State equation:X (k+1)=Ax (k)+Bu (k+1)
Output equation:Y (k)=h (x (k))+Du (k)
Wherein, u=It, x=[x1 x2 x3]T=[Vcp1 Vcp2 SOC]T, y=Vt,
H (x)=Voc-Vcp1-Vcp2=focv(SOC)-Vcp1-Vcp2, D=Ro
Wherein, ItRepresent battery-end electric current, RoRepresent ohmic internal resistance, Rp1And Cp1Activation polarization internal resistance and activation are represented respectively Polarization capacity, Rp2And Cp2Concentration polarization internal resistance and concentration polarization capacitance, V are represented respectivelycp1Represent polarization capacity Cp1Terminal voltage, Vcp2Represent polarization capacity Cp2Terminal voltage, VocRepresent open-circuit voltage, fOCVThe non-linear letter of () between battery OCV and SOC Number relation, QnFor battery rated capacity, TsFor the sampling period of electric current and voltage.
S105, the self-adaptation nonlinear observer designed for battery SOC estimation.
According to the battery system separate manufacturing firms model that step S104 is established, estimating for state variable and output variable is calculated Evaluation difference is as follows:
State estimation:
Output estimation value:
Wherein,WithThe estimate of state variable and output variable is represented respectively,Represent nonlinear function matrix h's First derivative.
Wherein, the value of the gain matrix K of nonlinear observer must is fulfilled for the following conditions:
ATK-1+K-1A=-Q
Wherein, matrix Q must meet condition:(1) with the same orders of A;(2) all characteristic values are more than zero, it can thus be appreciated that matrix K and K-1 It is positive definite matrix.As one embodiment of the present of invention, system state space order of equation number (has 3 states to become for 3 Amount), therefore the value of K has following form:
Wherein, aijFor the i-th row j column elements of A, kii(0.1+|ey|/(|ey|+0.1) (i=1,2,3), αiTo be more than Zero real number, need to be according to practical application value, eyRepresent output error.
S106, determine for the object function of self-adaptation nonlinear observer parameter optimization.
The object definition of self-adaptation nonlinear observer parameter optimization is:Ask for making the absolute of SOC estimation and reference value α during mean error minimum1, α2And α3Value, then object function be represented by:
minZ(α123)=mean (abs (SOCr-SOCe))
Wherein, mean () is is averaged function, and abs () is the function that takes absolute value, SOCrFor the reference value of SOC (can usually be obtained by current integration method), SOCeFor the estimate of SOC.
S107, the most optimized parameter value for solving self-adaptation nonlinear observer.
As one embodiment of the present of invention, Fig. 4 is given using particle group optimizing (Particle Swarm Optimization, PSO) Algorithm for Solving α1, α2And α3Optimal value process, Fig. 5 gives global optimum, and (i.e. SOC estimates Absolute average error between evaluation and reference value) convergence process.
S108, the estimate that battery SOC is calculated using optimal self-adaptation nonlinear observer.
As one embodiment of the present of invention, Fig. 8 Fig. 9 gives the battery SOC estimation knot under operating mode shown in Fig. 6 Fig. 7 Fruit.Wherein, the parameter (α of optimal self-adaptation nonlinear observer1=20.0, α2=5.9 and α3=1.3) value is to pass through step What rapid S106 was obtained, the parameter (α of self-adaptation nonlinear observer1=10.0, α2=5.0 and α3=1.0) value is artificially to set 's.
The correlation technique of the present invention is better understood from and grasped for ease of those skilled in the art, now by particle group optimizing (PSO) basic principle of algorithm is described below:
PSO algorithms have many advantages, such as that small calculation amount, fast convergence rate, global optimizing ability are strong.In PSO algorithms, each The potential solution of optimization problem be considered as D dimension search space on one be referred to as " particle " point, all particles all there are one The adaptive value that is determined by object function and determine the speed of its heading and distance.The position of postulated particle is expressed as xi =(xi1,xi2,…,xiD)T, speed is expressed as vi=(vi1,vi2,…,viD)T, then the update rule of speed and position is as follows:
Speed updates:
Location updating:
Wherein, i ∈ [1, m], m are the number of particle;D ∈ [1, D], D are the dimension of solution vector;K is iterations;WithThe respectively d of the position of particle i, speed and individual optimal value in kth time iteration ties up component;To be complete Ds of the office optimal value g in kth time iteration ties up component;c1And c2For Studying factors, be respectively used to adjust to individual optimal value and The maximum step-length of global optimum flight, usually takes c1=c2=2.0;W is inertia weight, general value range for [0.4, 0.9];r1And r2For the random number between [0,1].In order to improve the search performance of algorithm, the inertia power of linear decrease can be used Weight:
Wherein, wmaxAnd wminThe respectively upper and lower bound of inertia weight, can distinguish value for 0.9 and 0.4, k be current Iterations, kmaxFor maximum iteration.
Corresponding to above-mentioned embodiment of the method, the embodiment of the present invention also provides a kind of based on the observation of optimal self-adaptation nonlinear The power battery SOC estimating systems of device, as shown in Figure 10, power battery SOC estimating systems can include:
Power battery SOC-OCV relational expressions determining module 201, for determining that basis is worked as in battery SOC estimation procedure Functional relation expression formula when preceding SOC value calculates current open circuit voltage (OCV) value between required SOC and OCV.
Electrokinetic cell system equivalent-circuit model establishes module 202, for establishing the electricity for off-line identification battery parameter Cell system equivalent-circuit model, the selection including equivalent-circuit model species, the derivation of voltage responsive function.
Electrokinetic cell system equivalent circuit model parameter determining module 203, for off-line identification battery equivalent circuit model Parameter value, the selection of acquisition, voltage response curves fitting function including cell pulse discharge-standing voltage response curves, Derivation, the choosing of battery parameter discrimination method of relational expression between battery parameter and voltage response curves fitting function coefficient Take and battery parameter identification etc..
Power battery SOC estimation separate manufacturing firms models determining module 204, for establishing for battery SOC estimation Separate manufacturing firms equation, derivation, the shape of selection, state equation and output equation including system state variables and output variable Discretization of state equation and output equation etc..
The self-adaptation nonlinear Design of Observer module 205 of power battery SOC estimations, estimates for establishing power battery SOC The mathematical model of the self-adaptation nonlinear observer of meter, and derive the expression formula of self-adaptation nonlinear observer gain matrix.
Self-adaptation nonlinear observer parameter optimization object function determining module 206 is seen for establishing self-adaptation nonlinear Survey the object function of device parameter optimization.
The particle swarm optimization algorithm module 207 of self-adaptation nonlinear observer the most optimized parameter, for using particle Colony optimization algorithm solves the most optimized parameter of self-adaptation nonlinear observer, including particle swarm optimization algorithm parameter initialization, grain The updating of sub- flying speed and position, the calculating of current fitness value, the update of particle individual optimum position, particle group are optimal Update of position etc..
Power battery SOC estimation modules 208 based on optimal nonlinear observer, it is designed optimal adaptive for passing through Nonlinear observer is answered to calculate the estimate of battery SOC, the meter of real-time acquisition, observation error including cell voltage and electric current Update of calculation, state variable and output variable etc..
The above are implementing to be illustrated to the preferable of the present invention, but the invention is not limited to the implementation Example, those skilled in the art can also make a variety of equivalent variations on the premise of without prejudice to spirit of the invention or replace It changes, these equivalent deformations or replacement are all contained in the application claim limited range.

Claims (8)

1. a kind of power battery SOC methods of estimation based on nonlinear observer, which is characterized in that including step:
Intermittent electric discharge-standing experiment is carried out to power battery, fitting draws the function expression between SOC and OCV;
Establish the equivalent-circuit model of power battery;
Determine each parameter value of power battery equivalent-circuit model;
Establish the separate manufacturing firms model of the power battery for SOC estimations;
Self-adaptation nonlinear observer designed for battery SOC estimation;Wherein
The value of the gain matrix of the self-adaptation nonlinear observer is formulated as:
<mrow> <mi>K</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>a</mi> <mn>11</mn> </msub> <msub> <mi>k</mi> <mn>1</mn> </msub> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>a</mi> <mn>22</mn> </msub> <msub> <mi>k</mi> <mn>2</mn> </msub> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mrow> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>k</mi> <mi>i</mi> </msub> </mrow> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mrow> <mo>(</mo> <msub> <mi>a</mi> <mn>11</mn> </msub> <mo>+</mo> <msub> <mi>a</mi> <mn>22</mn> </msub> <mo>+</mo> <mn>...</mn> <mo>+</mo> <msub> <mi>a</mi> <mrow> <mi>n</mi> <mi>n</mi> </mrow> </msub> <mo>)</mo> <msub> <mi>k</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
Wherein, aij(i, j=1,2 ..., n) it is first for the i-th row j row of the coefficient matrix in battery system separate manufacturing firms model Element;
kii(0.1+|ey|/(|ey|+0.1) (i=1,2 ..., n+1), αiTo be more than zero proportionality coefficient, eyFor systematic perspective Survey error;
It determines for the object function of self-adaptation nonlinear observer parameter optimization;
Solve the most optimized parameter value of self-adaptation nonlinear observer;
The estimate of battery SOC is calculated using optimal self-adaptation nonlinear observer.
2. the power battery SOC methods of estimation according to claim 1 based on nonlinear observer, it is characterised in that:Institute The battery equivalent circuit model for battery parameter identification is stated using n rank RC equivalent-circuit models, wherein n >=1.
3. the power battery SOC methods of estimation according to claim 2 based on nonlinear observer, it is characterised in that:Institute Stating battery equivalent circuit model parameter is tested by carrying out pulsed discharge-standing to battery, bent according to corresponding voltage responsive Line is obtained using exponentially fitted method off-line identification.
4. the power battery SOC methods of estimation according to claim 3 based on nonlinear observer, it is characterised in that:Institute It states SOC methods of estimation and employs optimal self-adaptation nonlinear observer.
5. the power battery SOC methods of estimation according to claim 4 based on nonlinear observer, it is characterised in that:Institute The proportionality coefficient for stating the gain matrix of optimal self-adaptation nonlinear observer is optimized using swarm intelligence searching algorithm Design.
6. the power battery SOC methods of estimation according to claim 5 based on nonlinear observer, it is characterised in that:Institute The swarm intelligence searching algorithm for stating the gain matrix proportionality coefficient optimized design for optimal self-adaptation nonlinear observer is adopted It is particle swarm optimization algorithm.
7. the power battery SOC methods of estimation according to claim 6 based on nonlinear observer, it is characterised in that:Institute The optimized design for stating the gain matrix proportionality coefficient of optimal self-adaptation nonlinear observer is estimated with battery SOC under measurement condition The minimum target of absolute average error between evaluation and reference value, wherein:
Object function:minZ(α123)=mean (abs (SOCr-SOCe))
Wherein, mean () is is averaged function, and abs () is the function that takes absolute value, SOCrFor the reference value of SOC, SOCeFor The estimate of SOC.
8. a kind of power battery SOC estimating systems based on optimal self-adaptation nonlinear observer, which is characterized in that including:
Power battery SOC-OCV relational expression determining modules are tested for carrying out intermittent electric discharge-standing to power battery, Fitting draws the function expression between SOC and OCV;
Electrokinetic cell system equivalent-circuit model establishes module, for establishing the equivalent-circuit model of power battery;
Electrokinetic cell system equivalent circuit model parameter determining module, for determining each parameter of power battery equivalent-circuit model Value;
Power battery SOC estimate separate manufacturing firms model determining module, for establish for SOC estimation power battery from Dissipate state-space model;
The self-adaptation nonlinear Design of Observer module of power battery SOC estimations, for being designed for the adaptive of battery SOC estimation Answer nonlinear observer;Wherein
The value of the gain matrix of the self-adaptation nonlinear observer is formulated as:
<mrow> <mi>K</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>a</mi> <mn>11</mn> </msub> <msub> <mi>k</mi> <mn>1</mn> </msub> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>a</mi> <mn>22</mn> </msub> <msub> <mi>k</mi> <mn>2</mn> </msub> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mrow> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>k</mi> <mi>i</mi> </msub> </mrow> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mrow> <mo>(</mo> <msub> <mi>a</mi> <mn>11</mn> </msub> <mo>+</mo> <msub> <mi>a</mi> <mn>22</mn> </msub> <mo>+</mo> <mn>...</mn> <mo>+</mo> <msub> <mi>a</mi> <mrow> <mi>n</mi> <mi>n</mi> </mrow> </msub> <mo>)</mo> <msub> <mi>k</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
Wherein, aij(i, j=1,2 ..., n) it is first for the i-th row j row of the coefficient matrix in battery system separate manufacturing firms model Element;
kii(0.1+|ey|/(|ey|+0.1) (i=1,2 ..., n+1), αiTo be more than zero proportionality coefficient, eyFor systematic perspective Survey error;
Self-adaptation nonlinear observer parameter optimization object function determining module, for determining for self-adaptation nonlinear observer The object function of parameter optimization;
The particle swarm optimization algorithm module of self-adaptation nonlinear observer the most optimized parameter, for solving self-adaptation nonlinear The most optimized parameter value of observer;
Power battery SOC estimation modules based on optimal self-adaptation nonlinear observer, for using optimal self-adaptation nonlinear Observer calculates the estimate of battery SOC.
CN201610093763.4A 2016-02-19 2016-02-19 A kind of power battery SOC methods of estimation and system based on nonlinear observer Active CN105717460B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201610093763.4A CN105717460B (en) 2016-02-19 2016-02-19 A kind of power battery SOC methods of estimation and system based on nonlinear observer

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201610093763.4A CN105717460B (en) 2016-02-19 2016-02-19 A kind of power battery SOC methods of estimation and system based on nonlinear observer

Publications (2)

Publication Number Publication Date
CN105717460A CN105717460A (en) 2016-06-29
CN105717460B true CN105717460B (en) 2018-05-22

Family

ID=56156760

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201610093763.4A Active CN105717460B (en) 2016-02-19 2016-02-19 A kind of power battery SOC methods of estimation and system based on nonlinear observer

Country Status (1)

Country Link
CN (1) CN105717460B (en)

Families Citing this family (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106324523B (en) * 2016-09-26 2019-02-19 合肥工业大学 Lithium battery SOC estimation method based on discrete-time variable structure observer
CN106338695A (en) * 2016-10-09 2017-01-18 深圳市沃特玛电池有限公司 Battery model parameter identification method based on particle swarm algorithm
CN106707178B (en) * 2016-12-01 2020-05-19 深圳市麦澜创新科技有限公司 Method for estimating SOC of battery by multi-gain observer based on classifier decision
CN106597308B (en) * 2016-12-16 2018-12-25 西南交通大学 A kind of power battery method for estimating remaining capacity
CN108241128B (en) * 2018-01-09 2019-10-01 西南交通大学 A kind of proton exchange film fuel battery system method for estimating state
CN108791269B (en) * 2018-06-27 2019-12-31 福州大学 PHEV distributed control method applicable to power battery exchange modularization
CN109239614A (en) * 2018-11-12 2019-01-18 合肥工业大学 The lithium battery SOC estimation method of drift current value in a kind of consideration sensor
CN109782182B (en) * 2019-01-14 2021-08-03 深圳大学 Online estimation method and device for energy state of series battery pack
CN112428878A (en) * 2019-08-26 2021-03-02 上海汽车集团股份有限公司 Software refreshing control method and device and Internet of vehicles equipment
CN110907835B (en) * 2019-12-10 2020-12-11 北京理工大学 Battery model parameter identification and SOC estimation method with noise immunity characteristic
US11541775B2 (en) * 2020-02-04 2023-01-03 Ford Global Technologies, Llc Battery state of charge estimation system for a hybrid/electric vehicle
CN112685917B (en) * 2021-01-27 2023-04-18 重庆大学 Battery equalization modeling system and method based on nonlinear efficiency model
CN113109712A (en) * 2021-04-15 2021-07-13 上海交通大学宁波人工智能研究院 Nonlinear observer based on two-branch equivalent circuit and SOC estimation method

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102608542A (en) * 2012-04-10 2012-07-25 吉林大学 Method for estimating charge state of power cell
CN103941196A (en) * 2014-05-07 2014-07-23 吉林大学 Lithium ion battery state-of-charge estimation method
JP2014202655A (en) * 2013-04-08 2014-10-27 カルソニックカンセイ株式会社 Battery state estimation device
CN104535932A (en) * 2014-12-20 2015-04-22 吉林大学 Lithium ion battery charge state estimating method
CN105093114A (en) * 2015-03-02 2015-11-25 北京交通大学 Battery online modeling and state of charge combined estimating method and system

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102608542A (en) * 2012-04-10 2012-07-25 吉林大学 Method for estimating charge state of power cell
JP2014202655A (en) * 2013-04-08 2014-10-27 カルソニックカンセイ株式会社 Battery state estimation device
CN103941196A (en) * 2014-05-07 2014-07-23 吉林大学 Lithium ion battery state-of-charge estimation method
CN104535932A (en) * 2014-12-20 2015-04-22 吉林大学 Lithium ion battery charge state estimating method
CN105093114A (en) * 2015-03-02 2015-11-25 北京交通大学 Battery online modeling and state of charge combined estimating method and system

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
电动汽车锂电池SOC估计研究;郑媛 等;《电动工具》;20151231(第3期);第1-4小节 *

Also Published As

Publication number Publication date
CN105717460A (en) 2016-06-29

Similar Documents

Publication Publication Date Title
CN105717460B (en) A kind of power battery SOC methods of estimation and system based on nonlinear observer
CN105607009B (en) A kind of power battery SOC methods of estimation and system based on dynamic parameter model
Tian et al. State of charge estimation of lithium-ion batteries using an optimal adaptive gain nonlinear observer
CN105301509B (en) The combined estimation method of charge states of lithium ion battery, health status and power rating
Li et al. Comparative study of the influence of open circuit voltage tests on state of charge online estimation for lithium-ion batteries
CN106443474B (en) A kind of electrokinetic cell system service life Decline traits quickly know method for distinguishing
CN107390127A (en) A kind of SOC estimation method
CN111323719A (en) Method and system for online determination of health state of power battery pack of electric automobile
CN101598769B (en) Method for estimating remaining capacity of battery based on sampling points Kalman filtering
Xiong et al. A set membership theory based parameter and state of charge co-estimation method for all-climate batteries
CN101604005B (en) Estimation method of battery dump energy based on combined sampling point Kalman filtering
CN106842060A (en) A kind of electrokinetic cell SOC estimation method and system based on dynamic parameter
Li et al. A combination state of charge estimation method for ternary polymer lithium battery considering temperature influence
CN110596606B (en) Lithium battery residual capacity estimation method, system and device
CN105425153B (en) A kind of method of the state-of-charge for the electrokinetic cell for estimating electric vehicle
CN105334462A (en) Online estimation method for battery capacity loss
He et al. State of charge estimation by finite difference extended Kalman filter with HPPC parameters identification
CN102169168B (en) Battery dump energy estimation method based on particle filtering
CN108761340A (en) The battery evaluation method of strong tracking volume Kalman filtering based on noise jamming
CN110208703A (en) The method that compound equivalent-circuit model based on temperature adjustmemt estimates state-of-charge
CN203480000U (en) Detector for health status of power lithium battery for full electric vehicle
CN102289557B (en) Battery model parameter and residual battery capacity joint asynchronous online estimation method
CN110515011A (en) A kind of Accurate Estimation Method of lithium-ion-power cell SOC
CN109459699A (en) A kind of lithium-ion-power cell SOC method of real-time
CN104714188A (en) Method and system for estimating measured noise variance matrix matched battery state of charge (SOC)

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant