CN108896924A - The charge states of lithium ion battery estimation method merged based on depth confidence network and Kalman filtering - Google Patents

The charge states of lithium ion battery estimation method merged based on depth confidence network and Kalman filtering Download PDF

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CN108896924A
CN108896924A CN201810747134.8A CN201810747134A CN108896924A CN 108896924 A CN108896924 A CN 108896924A CN 201810747134 A CN201810747134 A CN 201810747134A CN 108896924 A CN108896924 A CN 108896924A
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刘大同
彭宇
李律
宋宇晨
彭喜元
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Harbin Institute of Technology
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Abstract

Based on the charge states of lithium ion battery estimation method that depth confidence network and Kalman filtering merge, it is related to technical field of battery management.The present invention is to solve the problems, such as that conventional method exists.The present invention from battery actual motion can electric current, voltage and temperature parameter measured directly, building lithium ion battery SOC estimate model.Lithium ion battery SOC is estimated using the depth confidence network in deep learning, depth confidence network is merged with kalman filter method, obtains merging later lithium ion battery SOC estimation model.For compared with prior art, the SOC estimation method based on data-driven method can carry out feature extraction according to the historical data that battery real work obtains, and systematic error be checked in conjunction with the method for filtering, to obtain relatively accurate SOC estimation.

Description

The charge states of lithium ion battery merged based on depth confidence network and Kalman filtering Estimation method
Technical field
The invention belongs to technical field of battery management, and in particular to a kind of charge states of lithium ion battery On-line Estimation side Method.
Background technique
Lithium ion battery because its specific energy is high, operating voltage is high, temperature range is wide, self-discharge rate is low, have extended cycle life and Many advantages, such as safety is good is widely used and mobile phone, laptop and electric automobiles, and is gradually extended to military logical The fields such as letter, navigation, Aeronautics and Astronautics are increasingly becoming the key and support technology of following many key areas.
Battery charge state (State of Charge, SOC) is as an important pass in lithium ion battery management system Bond parameter, the service efficiency of battery and the use peace of lifting system can be ensured by carrying out accurately estimation to lithium ion battery SOC Quan Xing.Therefore accurately estimation is carried out to lithium ion battery SOC to have great importance.
Currently used SOC estimation strategy has open circuit voltage method, current integration method, AC impedence method, neural network, card Kalman Filtering method etc..Open circuit voltage method is that SOC estimates one of strategy and widely used algorithm for estimating earlier.It Basic principle be that the open-circuit voltage of battery and SOC have fixed relationship, general open-circuit voltage is dull with the increase of SOC It is incremented by, by measuring the relation curve of open-circuit voltage and SOC, in this way, corresponding to the moment battery for determining open-circuit voltage SOC value.But open circuit voltage method needs take a substantial amount of time and are tested, therefore cannot answer in actual use situation With.The basic thought of current integration method is that battery is regarded as to a black box, regardless of internal state change, only to disengaging battery Electric current integrated, to calculate the electricity of battery consumption or accumulation, the SOC value of the moment battery is obtained by calculation. This method needs current measurement to have very high precision, and due to the cumulative effect of integral, the error that current measurement introduces will always Inaccuracy that is cumulative, causing SOC to estimate.Therefore, current integration method is not used alone, it will usually improve in conjunction with other methods The precision of SOC estimation.AC impedence method measures the corresponding of battery by the interference signal to the application of battery both ends by a small margin, into And the AC impedance of battery is obtained, the SOC value of battery is estimated according to AC impedance.But the SOC of this method estimation battery Existing defects.Firstly, the ac impedance spectroscopy variation of battery is obvious in the case where SOC is very big or very little, but for SOC changes little situation, and the ac impedance spectroscopy of battery varies less, and if measurement accuracy is inadequate, application condition is big.Kalman Filter method can be applied to real-time measurement, in the biggish electric car environment of current fluctuation, while can provide the mistake of estimated value Poor range, but this method needs the model by battery.Complicated battery model is computationally intensive and needs largely to be tested, And simply battery model characterization ability is weak, there are large errors under dynamic operation condition, therefore there are lithium ion batteries for this method The problem of model modeling problem and identification of Model Parameters.In addition to the above method, there is also the SOC based on data-driven model to estimate Meter method, such as neural network, support vector machines method etc..But these methods belong to the learning method of shallow-layer, in lithium ion When battery operating condition complexity, SOC evaluated error is higher.Currently, depth confidence network (Deep Belief Network, DBN) Every field is widely used in as a kind of deep learning model.Under the dynamic operation condition of lithium ion battery complexity, DBN by It, being capable of good fitting lithium ion battery SOC variation in its powerful ability in feature extraction and nonlinear fitting ability.Meanwhile The model is not needed upon the physical chemical mechanism of lithium ion battery, it is only necessary to be built according to the historical data to operate with batteries Mould, therefore it is suitable for the electro-chemical systems of this complexity of lithium ion battery.
Shown in sum up, conventional method is not high for the estimated accuracy of the SOC of lithium ion battery, and is not suitable for real work The lithium ion battery of situation.And the methods of Kalman filtering needs to carry out SOC estimation based on lithium ion battery equivalent model, it is equivalent The problems such as model foundation is chosen there are model and model parameter solves.In addition, traditional data driving method is in complicated dynamic Under operating condition, SOC evaluated error increases.At the same time, DBN belongs to a kind of model of deep learning, has powerful feature extraction Ability and nonlinear fitting ability have good adaptability to the complication system of nonlinear and non-Gaussian, therefore in battery status It has a good application prospect in estimation.
Summary of the invention
The present invention is low to the estimated accuracy of lithium ion battery SOC in actual condition in order to solve conventional method, and is based on There is modeling problem and identification of Model Parameters in battery model method, thus provide a kind of lithium towards under dynamic operation condition from Sub- battery charge state estimation method.
Charge states of lithium ion battery estimation method based on depth confidence network and Kalman filtering fusion, including it is following Step:
Step 1:Voltage, electric current, temperature and the history SOC data of battery in battery testing data are extracted, and by extraction Data are normalized, the data set after being normalized;
Step 2:Data set after normalization is divided into the No.1 input vector X at k moment according to the following formulak (1), No. two it is defeated Incoming vector Xk (2)With output vector Yk, the k moment is current time;
Step 3:By the No.1 input vector X at k momentk (1), No. two input vector Xk (2)With output vector YkAccording to 40% Ratio cut partition with 60% is training set and test set;
Step 4:The parameter of SOC initial estimate model of the random initializtion based on DBN and the SOC observation based on DBN are estimated The parameter of model is counted, and above two model is trained using training set, two after being trained kind model;
Step 5:By the No.1 input vector X at k-1 moment in test setk-1 (1)As the SOC initial estimate mould based on DBN The input vector of type, and obtain SOC initial value SOCinit, the k-1 moment is the last moment at current time;
Step 6:By Xk (1)With SOCinitCarry out No. three input vector X that splicing obtains the k momentk (3), by Xk (3)Substitute into base In the SOC observation estimation model of DBN, the SOC observation Z at k moment is obtainedk
Step 7:By ZkIt is input in KF algorithm, obtains k moment accurate SOC value SOCk
It is further comprising the steps of for solving the accurate SOC value of subsequent time after step 7:
By SOCkWith the No.1 input vector X at k+1 momentk+1 (1)Spliced, obtains No. three input vectors at k+1 moment Xk+1 (3),
By Xk+1 (1)It substitutes into the SOC observation estimation model based on DBN, obtains the SOC observation Z at k+1 momentk+1
By Zk+1It is input in KF algorithm, obtains k+1 moment accurate SOC value SOCk+1
In step 2, the No.1 input vector X at k momentk (1), No. two input vector Xk (2)With output vector YkExpression formula It is as follows respectively:
Xk (1)=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p],
Xk (2)=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p,SOCk-1],
Yk=[SOCk],
Wherein, vkAnd vk-mRespectively indicate voltage value, the i at k moment and k-m momentkAnd ik-nWhen respectively indicating k moment and k-n Current value, the t at quarterkAnd tk-pRespectively indicate temperature value, the SOC at k moment and k-p momentk-1Indicate the SOC value at k-1 moment, m, n It is positive integer with p.
The specific method being trained in step 4 to the SOC initial estimate model based on DBN is:
It is randomly provided the weighted value and bias of the SOC initial estimate model based on DBN, completes model initialization;
By the X in training setk (1)As the input of the SOC initial estimate model based on DBN, unsupervised training is carried out, when Deconditioning when training error is less than 10 ∧ -2;
By the X in training setk (1)As the input of the SOC initial estimate model based on DBN after unsupervised training, by Yk As the label of the SOC initial estimate model based on DBN after unsupervised training, Training is carried out, when training error is small Deconditioning when 10 ∧ -3 completes the training of the SOC initial estimate model based on DBN.
K moment accurate SOC value SOC is obtained in step 7kSpecific method be:
Step 7 one:State-space model is established,
The state-space model includes state equation and measurement equation, and two kinds of equations are specific as follows:
State equation:
Measure equation:
Wherein,Indicate SOC estimation, the I at k-1 momentkIndicate electric current, the C at k momentrateIndicate the appearance of battery Amount, wkIndicate cell process noise, vkIndicate that battery measures noise;
Step 7 two:The SOC estimation at k moment is obtained using the state equation in step 7 one
Z is updated using the measurement equation in step 7 onek
Step 7 three:The error covariance P at k moment is updated using following formulak,
Pk=APk-1AT+ Q,
The kalman gain K at k moment is updated using following formulak,
Kk=PkHT(HPkHT+R)-1,
Wherein, A indicates that battery parameter, H indicate that the parameter of measurement battery, R and Q indicate that two kinds of different Gausses of value make an uproar Sound;
Step 7 four:By the updated Z of step 7 twokWithIt is merged according to the following formula, it is accurate to obtain the k moment SOC value SOCk,
For the estimation problem of lithium ion battery SOC, the present invention can physics ginseng measured directly from battery real work Number (voltage, electric current, temperature) sets out, and proposes a kind of SOC On-line Estimation method, this method is for lithium ion battery under dynamic operation condition System has good adaptability, estimates that maximum relative error has well within 6%, and to different types of battery Robustness.The input of this method be battery can voltage, electric current and temperature measured directly, export current for lithium ion battery SOC value.This method does not need to establish lithium ion battery equivalent-circuit model, and does not need specific operation and know to model parameter Not, it is only necessary to which the partial history data of the lithium ion battery can obtain good SOC estimation effect.
Detailed description of the invention
Fig. 1 is the SOC estimation method functional block diagram based on DBN-KF;
Fig. 2 is the SOC initial estimate model based on DBN;
Fig. 3 is that the SOC observation based on DBN estimates model;
Fig. 4 is four groups of lithium ion battery SOC estimated result curve graphs based on DBN-KF, wherein (a) indicates first group of electricity Pond SOC estimated result (b) indicates first group of SOC evaluated error, (c) indicates second group of battery SOC estimated result, (d) indicates the Two groups of SOC evaluated errors (e) indicate third group battery SOC estimated result, (f) indicate third group SOC evaluated error, (g) indicate 4th group of battery SOC estimated result (h) indicates the 4th group of SOC evaluated error.
Specific embodiment
Present embodiment is illustrated in conjunction with Fig. 4 and table 1.Present embodiment selects the random floor data collection of NASA PCoE Four groups of sample data sets carry out battery charge state estimation,
Step 1:Voltage, electric current, temperature and the SOC data of battery in battery testing data are extracted, and by the data of extraction Carry out [0,1] normalized, the data set after being normalized.
Step 2:Data set after normalization is divided into the No.1 input vector X at k moment according to the following formulak (1), No. two it is defeated Incoming vector Xk (2)With output vector Yk;The No.1 input vector X at the k momentk (1), No. two input vector Xk (2)With output vector Yk Expression formula difference it is as follows:
Xk (1)=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p],
Xk (2)=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p,SOCk-1],
Yk=[SOCk],
Wherein, vkAnd vk-mRespectively indicate voltage value, the i at k moment and k-m momentkAnd ik-nWhen respectively indicating k moment and k-n Current value, the t at quarterkAnd tk-pRespectively indicate temperature value, the SOC at k moment and k-p momentk-1Indicate the SOC value at k-1 moment, m, n It is positive integer with p.
Step 3:By the No.1 input vector X at k momentk (1), No. two input vector Xk (2)With output vector YkAccording to 40% Ratio cut partition with 60% is training set and test set;
Step 4:It is randomly provided the weighted value and bias of the SOC initial estimate model based on DBN, it is initial to complete model Change;By the X in training setk (1)As the input of the SOC initial estimate model based on DBN, unsupervised training is carried out, when training misses Deconditioning when difference is less than 10 ∧ -2;By the X in training setk (1)As the SOC initial estimate based on DBN after unsupervised training The input of model, by YkAs the label of the SOC initial estimate model based on DBN after unsupervised training, supervision instruction has been carried out Practice, the deconditioning when training error is less than 10 ∧ -3, completes the training of the SOC initial estimate model based on DBN;
It is randomly provided weighted value, bias and the network of the SOC observation estimation model based on DBN, it is initial to complete model Change;By the X in training setk (2)As the input of the SOC observation estimation model based on DBN, unsupervised training is carried out, training is worked as Deconditioning when error is less than 10 ∧ -2;By the X in training setk (2)As the SOC observation based on DBN after unsupervised training The input for estimating model, by YkAs the label of the SOC observation estimation model based on DBN after unsupervised training, carry out Training, the deconditioning when training error is less than 10 ∧ -3 complete the instruction of the SOC observation estimation model based on DBN Practice.
Step 5:By the No.1 input vector X at k-1 moment in test setk-1 (1)As the SOC initial estimate mould based on DBN The input vector of type, and obtain SOC initial value SOCinit
Step 6:By Xk (1)With SOCinitCarry out No. three input vector X that splicing obtains the k momentk (3),
Xk (3)=[Xk (1),SOCinit]=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p,SOCinit]
Wherein, vkAnd vk-mRespectively indicate the voltage value at k moment and k-m moment, ikAnd ik-nWhen respectively indicating k moment and k-n The current value at quarter, tkAnd tk-pThe temperature value at k moment and k-p moment is respectively indicated, m, n and p are positive integer;
By Xk (3)It substitutes into the SOC observation estimation model based on DBN, obtains the SOC observation Z at k momentk
Step 7:State-space model is established,
State equation:
Measure equation:
Wherein,Indicate SOC estimation, the I at k-1 momentkIndicate electric current, the C at k momentrateIndicate the appearance of battery Amount, wkIndicate cell process noise, vkIndicate that battery measures noise;
The SOC estimation at k moment is obtained using state equationZ is updated using measurement equationk
The error covariance P at k moment is updated using following formulak,
Pk=APk-1AT+ Q,
The kalman gain K at k moment is updated using following formulak,
Kk=PkHT(HPkHT+R)-1,
Wherein, A indicates that battery parameter, H indicate that the parameter of measurement battery, R and Q indicate that two kinds of different Gausses of value make an uproar Sound;
By updated ZkWithIt is merged according to the following formula, obtains k moment accurate SOC value SOCk,
It is further comprising the steps of for solving the accurate SOC value of subsequent time after step 7:
By SOCkWith the No.1 input vector X at k+1 momentk+1 (1)Spliced, obtains No. three input vectors at k+1 moment Xk+1 (3),
Xk+1 (3)=[Xk+1 (1),SOCk]=[vk+1,…,vk-m+1,ik+1,...,ik-n+1,tk+1,...,tk-p+1,SOCk]
Wherein, vk+1And vk-m+1Respectively indicate the voltage value at k+1 moment and k-m+1 moment, ik+1And ik-n+1Respectively indicate k+ The current value at 1 moment and k-n+1 moment, tk+1And tk-p+1Respectively indicate the temperature value at k+1 moment and k-p+1 moment;
By Xk+1 (1)It substitutes into the SOC observation estimation model based on DBN, obtains the SOC observation Z at k+1 momentk+1;It will Zk+1It is input in KF (Kalman filtering fusion) algorithm, obtains k+1 moment accurate SOC value SOCk+1
The SOC estimated result of four groups of batteries of the random floor data of NASA PCoE is as shown in the table:
1 SOC estimated result evaluation index of table
Present embodiment in order to realize, estimate under dynamic operation condition by battery SOC, can be measured directly from battery actual motion Electric current, voltage and temperature parameter set out, and building lithium ion battery SOC estimates model.In view of lithium ion battery is with non-thread Property etc. characteristics, therefore lithium ion battery SOC is estimated using the depth confidence network in deep learning.In view of measurement There is measurement error in the process, therefore depth confidence network is merged with kalman filter method, obtains merging later Lithium ion battery SOC estimates model.For compared with prior art, the SOC estimation method based on data-driven method can be with Feature extraction is carried out according to the historical data that battery real work obtains, checks systematic error in conjunction with the method for filtering, thus Obtain relatively accurate SOC estimation.

Claims (8)

1. based on the charge states of lithium ion battery estimation method that depth confidence network and Kalman filtering merge, feature exists In including the following steps:
Step 1:Voltage, electric current, temperature and the history SOC data of battery in battery testing data are extracted, and by the data of extraction It is normalized, the data set after being normalized;
Step 2:Data set after normalization is divided into the No.1 input vector X at k moment according to the following formulak (1), No. two input to Measure Xk (2)With output vector Yk, the k moment is current time;
Step 3:By the No.1 input vector X at k momentk (1), No. two input vector Xk (2)With output vector YkIt is divided into training set And test set;
Step 4:The parameter of SOC initial estimate model of the random initializtion based on DBN and SOC observation based on DBN estimate mould The parameter of type, and above two model is trained using training set, two after being trained kind model;
Step 5:By the No.1 input vector X at k-1 moment in test setk-1 (1)As the SOC initial estimate model based on DBN Input vector, and obtain SOC initial value SOCinit, the k-1 moment is the last moment at current time;
Step 6:By Xk (1)With SOCinitCarry out No. three input vector X that splicing obtains the k momentk (3), by Xk (3)It substitutes into and is based on DBN SOC observation estimation model in, obtain the k moment SOC observation Zk
Step 7:By ZkIt is input in KF algorithm, obtains k moment accurate SOC value SOCk
2. the charge states of lithium ion battery according to claim 1 merged based on depth confidence network and Kalman filtering Estimation method, which is characterized in that further comprising the steps of for solving the accurate SOC value of subsequent time after step 7:
By SOCkWith the No.1 input vector X at k+1 momentk+1 (1)Spliced, obtains No. three input vector X at k+1 momentk+1 (3),
By Xk+1 (1)It substitutes into the SOC observation estimation model based on DBN, obtains the SOC observation Z at k+1 momentk+1
By Zk+1It is input in KF algorithm, obtains k+1 moment accurate SOC value SOCk+1
3. the lithium ion battery according to claim 1 or 2 merged based on depth confidence network and Kalman filtering is charged Method for estimating state, which is characterized in that in step 2, the No.1 input vector X at k momentk (1), No. two input vector Xk (2)With it is defeated Outgoing vector YkExpression formula difference it is as follows:
Xk (1)=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p],
Xk (2)=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p,SOCk-1],
Yk=[SOCk],
Wherein, vkAnd vk-mRespectively indicate voltage value, the i at k moment and k-m momentkAnd ik-nRespectively indicate k moment and k-n moment Current value, tkAnd tk-pRespectively indicate temperature value, the SOC at k moment and k-p momentk-1Indicate the SOC value at k-1 moment, m, n and p are equal For positive integer.
4. the lithium ion battery according to claim 1 or 2 merged based on depth confidence network and Kalman filtering is charged Method for estimating state, which is characterized in that the specific method that the SOC initial estimate model based on DBN is trained in step 4 For:
It is randomly provided the weighted value and bias of the SOC initial estimate model based on DBN, completes model initialization;
By the X in training setk (1)As the input of the SOC initial estimate model based on DBN, unsupervised training is carried out, when training misses Deconditioning when difference is less than 10 ∧ -2;
By the X in training setk (1)As the input of the SOC initial estimate model based on DBN after unsupervised training, by YkAs The label of the SOC initial estimate model based on DBN after unsupervised training carries out Training, when training error is less than 10 Deconditioning when ∧ -3 completes the training of the SOC initial estimate model based on DBN.
5. the lithium ion battery according to claim 1 or 2 merged based on depth confidence network and Kalman filtering is charged Method for estimating state, which is characterized in that the specific side that the SOC observation estimation model based on DBN is trained in step 4 Method is:
It is randomly provided weighted value, bias and the network of the SOC observation estimation model based on DBN, completes model initialization;
By the X in training setk (2)As the input of the SOC observation estimation model based on DBN, unsupervised training is carried out, training is worked as Deconditioning when error is less than 10 ∧ -2;
By the X in training setk (2)As the input of the SOC observation estimation model based on DBN after unsupervised training, by YkMake The label that model is estimated for the SOC observation based on DBN after unsupervised training, carries out Training, works as training error Deconditioning when less than 10 ∧ -3 completes the training of the SOC observation estimation model based on DBN.
6. the lithium ion battery according to claim 1 or 2 merged based on depth confidence network and Kalman filtering is charged Method for estimating state, which is characterized in that k moment accurate SOC value SOC is obtained in step 7kSpecific method be:
Step 7 one:State-space model is established,
The state-space model includes state equation and measurement equation, and two kinds of equations are specific as follows:
State equation:
Measure equation:
Wherein,Indicate SOC estimation, the I at k-1 momentkIndicate electric current, the C at k momentrateIndicate capacity, the w of batteryk Indicate cell process noise, vkIndicate that battery measures noise;
Step 7 two:The SOC estimation at k moment is obtained using the state equation in step 7 one
Z is updated using the measurement equation in step 7 onek
Step 7 three:The error covariance P at k moment is updated using following formulak,
Pk=APk-1AT+ Q,
The kalman gain K at k moment is updated using following formulak,
Kk=PkHT(HPkHT+R)-1,
Wherein, A indicates that battery parameter, H indicate that the parameter of measurement battery, R and Q indicate the different Gaussian noise of two kinds of values;
Step 7 four:By the updated Z of step 7 twokWithIt is merged according to the following formula, obtains k moment accurate SOC value SOCk,
7. the charge states of lithium ion battery according to claim 1 merged based on depth confidence network and Kalman filtering Estimation method, which is characterized in that No. three input vector X at k momentk (3)Expression formula it is as follows:
Xk (3)=[Xk (1),SOCinit]=[vk,…,vk-m,ik,...,ik-n,tk,...,tk-p,SOCinit]
Wherein, vkAnd vk-mRespectively indicate the voltage value at k moment and k-m moment, ikAnd ik-nRespectively indicate k moment and k-n moment Current value, tkAnd tk-pThe temperature value at k moment and k-p moment is respectively indicated, m, n and p are positive integer.
8. the charge states of lithium ion battery according to claim 2 merged based on depth confidence network and Kalman filtering Estimation method, which is characterized in that No. three input vector X at k+1 momentk+1 (3)Expression formula it is as follows:
Xk+1 (3)=[Xk+1 (1),SOCk]=[vk+1,…,vk-m+1,ik+1,...,ik-n+1,tk+1,...,tk-p+1,SOCk]
Wherein, vk+1And vk-m+1Respectively indicate the voltage value at k+1 moment and k-m+1 moment, ik+1And ik-n+1Respectively indicate the k+1 moment With the current value at k-n+1 moment, tk+1And tk-p+1The temperature value at k+1 moment and k-p+1 moment is respectively indicated, m, n and p are positive Integer.
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