CN112231830A - Hybrid power vehicle multi-objective optimization control method based on adaptive equivalent factor - Google Patents
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Abstract
The invention discloses a hybrid vehicle multi-objective optimization control method based on adaptive equivalent factors. Establishing a hydrogen consumption model, a fuel cell system aging model and a lithium battery system aging model of the hybrid power vehicle, obtaining the hydrogen consumption and the aging state quantity of the fuel cell system and the lithium battery system, and converting the hydrogen consumption and the aging state quantity into energy consumption cost; establishing a semi-empirical fuel cell system aging model, setting an aging parameter, establishing a relation between the aging parameter and the resistance and limiting current of the fuel cell, solving to obtain the aging parameter, and calculating a self-adaptive equivalent factor by using the aging parameter; and establishing a multi-objective function consisting of energy consumption cost and containing self-adaptive equivalent factors, and solving a minimized objective to obtain optimized power distribution for control. The invention can still reasonably distribute the output power through the designed adaptive equivalent factor when the performance of the fuel cell system is attenuated, thereby realizing multi-objective optimization control and having good real-time performance.
Description
Technical Field
The invention relates to a multi-objective optimization control method for a hybrid vehicle, which ensures multi-objective optimization and stability of a lithium battery system charge state by designing a self-adaptive equivalent factor based on an aging state of a fuel battery system under the condition of performance attenuation of the fuel battery system, and simultaneously ensures real-time performance of an algorithm.
Background
The hybrid vehicle has the advantages of zero emission, high energy conversion efficiency, long cruising range and the like, and is widely concerned by the industry and academia. At present, an energy system of a hybrid vehicle mainly comprises a fuel cell system and a lithium battery system or a super capacitor. It is a focus of most current energy control methods to study how to efficiently distribute the energy supply ratio of the two energy systems and improve the economy of the hybrid vehicle on the basis of satisfying the dynamic demand. However, the high cost and short service life of the fuel cell system are one of the main reasons for limiting the popularization and application of the hybrid vehicle. It is therefore also a necessary research effort to take into account the service life of fuel cell systems and lithium battery systems in hybrid vehicles in the energy control method. In addition, frequent start-stop of the fuel cell system of the hybrid vehicle may cause its performance to deteriorate, thereby reducing the operating efficiency of the fuel cell system. This tends to increase the use of the lithium battery system to meet the power demand, causing fluctuations in the state of charge of the lithium battery system to affect the performance of the hybrid vehicle. Therefore, it is necessary to study multi-objective optimization to improve the economy and durability of hybrid vehicles and to ensure stable state of charge of the lithium battery system.
Disclosure of Invention
Under the condition that the performance of a fuel cell system is degraded, in order to achieve multi-objective optimization of the economy and the durability of a hybrid vehicle and the stability of the state of charge of a lithium battery system, the technical scheme of the invention provides a multi-objective optimization control method of the hybrid vehicle based on adaptive equivalent factors.
The technical scheme adopted by the invention is as follows:
the hydrogen consumption model of the hybrid vehicle mainly comprises hydrogen consumption of a fuel cell system and equivalent hydrogen consumption of a lithium cell system; the fuel cell system aging model is a model describing the aging state of the fuel cell system by the number of starts and the output power; the lithium battery system aging model is a model describing the aging state of the lithium battery system by the discharge rate and the operating temperature.
The hydrogen consumption of the fuel cell system is determined by the output power of the fuel cell system, while the equivalent hydrogen consumption of the lithium cell system depends on the output power and the equivalence factor of the lithium cell system.
The output power and equivalent factors of the fuel cell system and the lithium battery system are input into a hydrogen consumption model of the hybrid power vehicle and output to obtain the hydrogen consumption of the hybrid power vehicle, the output power and the start-stop times of the fuel cell system are input into an aging model of the fuel cell system and output to obtain an aging state of the fuel cell system, and the discharge rate and the battery temperature of the lithium battery system are input into the aging model of the lithium battery system and output to obtain the aging state of the lithium battery system.
the invention designs and constructs the adaptive equivalent factor contained in the multi-objective function to reasonably distribute the output power of the fuel cell system and the lithium cell system, thereby ensuring the stable charge state of the lithium cell system when the performance of the fuel cell system is attenuated and obtaining the more accurate aging state of the fuel cell system.
Wherein, the invention adopts a semi-empirical fuel cell system aging model. By utilizing the semi-empirical fuel cell system aging model, the resistance and the limiting current of the fuel cell can be obviously changed no matter in static load or dynamic load, and the estimation precision of the aging state of the fuel cell system is improved.
And 4, establishing a multi-objective function comprising a self-adaptive equivalent factor and consisting of the three energy consumption costs in the step 2, wherein the multi-objective function meets the requirement of vehicle dynamic property and limits the variation range of the output power of the fuel cell system and the output power of the lithium battery system, the multi-objective function is taken as a convex optimization problem with constrained quadratic programming, and then an effective set algorithm is utilized to solve by taking the minimized multi-objective function as a target to obtain optimized power distribution for controlling, so that the multi-objective optimization control is realized, the economy and the durability of the hybrid vehicle are improved, and the stability of the charge state of the lithium battery system is ensured.
The hybrid power vehicle is internally provided with a fuel cell system and a lithium cell system, and the fuel cell system and the lithium cell system are connected to jointly provide energy for the hybrid power vehicle.
The step 2 specifically comprises the following steps:
aging state quantity delta of fuel cell systemfcAnd the aging state quantity Delta of the lithium battery systembThe formula is adopted to calculate and obtain:
wherein N issIs the number of start-stops, δ, of the fuel cell systemsIs the coefficient of the number of times of starting and stopping of the fuel cell system, PfcIs the output power, P, of the fuel cell systemfc,rIs the rated power, delta, of the fuel cell system0And alpha0First and second damping coefficients for the fuel cell system, T is the operating time of the hybrid vehicle, IbatOutputting current for lithium battery system, and maximum service cycle N (c, T) of lithium battery systemc) Dependent on the discharge rate c and the operating temperature Tc,QnAnd t is the nominal capacity of the lithium battery system and time.
The step 3 specifically comprises the following steps:
the semi-empirical fuel cell system aging model is expressed as:
wherein N isfcNumber of fuel cells in the fuel cell system, EoIs the open circuit voltage of the fuel cell, IfcAnd VfcCurrent and voltage, A, respectively, of the fuel cell systemtAnd BcRespectively Tafel constant and concentration constant, ToAnd IoRespectively the operating temperature and the exchange current, R, of the fuel cellfcAnd IlRespectively representing the resistance and limiting current of the fuel cell;
the resistance and limiting current of the fuel cell are closely related to the aging state of the fuel cell system.
Then, an aging parameter alpha of the fuel cell system is set, and the fuel cell resistance R is described by using the aging parameter alphafcAnd limiting the current IlThe change of (2):
Rfc=Rfco·(1-α)
Il=Ilo·(1+α)
wherein R isfcoAnd IloRespectively initial fuel cell resistance and limiting current, beta is the change rate of the fuel cell system aging parameter alpha;
then, processing and estimating an aging parameter of the fuel cell system by adopting an unscented Kalman filtering algorithm to perform semi-empirical fuel cell system aging model, and updating the variances of process noise and measurement noise in the unscented Kalman filtering algorithm in real time by utilizing a covariance matching method;
finally, the obtained aging parameter of the fuel cell system is processed according to the following formula to obtain an adaptive equivalent factor lambdae:
λe=λeo×(1+kbα)2
Wherein λ iseoIs an initial equivalence factor, kbRepresenting a normal number, to accommodate changes in the adaptive equivalence factor.
The step 4 specifically comprises the following steps:
constructing a multi-objective function representation as:
wherein, JeAs a function of multiple objectives, PbatFor the output power of lithium battery systems, AfAnd BfRespectively are a secondary term coefficient and a primary term coefficient of the output power of the fuel cell system; a. thebAnd BbRespectively representing a secondary coefficient and a primary coefficient of the output power of the lithium battery system; wherein the adaptive equivalence factor lambdaeContained in the coefficient of quadratic term BbIn (1).
Wherein, cbatCost of unit energy consumption of lithium battery system, Eb,rIs the rated capacity of the lithium battery system, AtolIs the total discharge capacity, VobIs the open circuit voltage of the lithium battery system,for hydrogen lower heating value, sgn () is a sign function;
the constraints of the multi-objective function are expressed as:
Pfc+Pbat=Pdem
Pfc,min≤Pfc≤Pfc,max
Pb,min≤Pbat≤Pb,max
wherein, PdemPower demand for hybrid vehicles, Pfc,minAnd Pfc,maxMinimum and maximum output power, P, respectively, of the fuel cell systemb,minAnd Pb,maxRespectively the minimum and maximum output power of the lithium battery system;
finally, the multi-objective function is regarded as a secondary planning problem with constraint, and the secondary planning problem is solved and optimized by using an active set algorithm to obtain the optimal output power P of the fuel cell systemfcAnd the output power P of the lithium battery systembatThe real-time performance of the algorithm can be ensured.
The invention can design the adaptive equivalent factor based on the unscented Kalman filtering algorithm, reasonably and efficiently distribute the output power of the fuel cell system and the lithium cell system under the condition of performance degradation of the fuel cell system, and realize multi-objective optimization.
The invention has the beneficial effects that:
the invention can improve the economy and the durability of the hybrid power and ensure the stability of the charge state of the lithium battery system. The utilization rate of the energy and the performance of the lithium battery system can be effectively improved, and the service lives of the fuel battery system and the lithium battery system are prolonged.
Drawings
FIG. 1 is a block diagram of a multi-objective optimization algorithm method;
FIG. 2 illustrates UDDS driving conditions;
FIG. 3 illustrates HWFET driving conditions;
FIG. 4UDDS operating mode output power variation of fuel cell system
FIG. 5UDDS operating mode output power change of lithium battery system
FIG. 6 variation of fuel cell system output power under HWFET operating conditions
FIG. 7 lithium battery system output power variation under HFET conditions
FIG. 8 shows the change of the state of charge of the lithium battery system under the UDDS working condition;
FIG. 9 shows the change of the state of charge of the lithium battery system under the HWFET operating condition;
table 1 shows the comparison of the cost consumed by each method under UDDS conditions;
table 2 compares the cost of each process under HWFET conditions.
Detailed Description
The invention is further illustrated below with reference to specific examples. It should be understood that these examples are for illustrative purposes only and are not intended to limit the scope of the present invention.
The invention is embodied in a simulation environment to verify the effectiveness of a multi-objective optimization control method for an aged fuel cell system. The specific embodiment and the implementation process thereof are as follows:
FIG. 1 is a system diagram of a multi-objective optimization control method provided by the present invention, and the work flow of the multi-objective optimization control method is as follows: the required power may be calculated based on the vehicle speed of the hybrid vehicle and a dynamic model of the vehicle. The indexes for measuring the economical efficiency and the durability can be obtained as the total cost through the established hydrogen consumption model of the hybrid power vehicle, the fuel cell system aging model and the lithium battery system aging model. The calculation expression is as follows
C=Ce+Cfc+Cbat
Wherein, CeThe hydrogen consumption cost is composed of the hydrogen consumption of the fuel cell system and the equivalent hydrogen consumption of the lithium cell system, wherein the equivalent hydrogen consumption of the lithium cell system is obtained by equivalently converting the consumed electric energy into the hydrogen consumption by utilizing an adaptive equivalence factor; cfcA loss penalty for aging of the fuel cell system, CbatThe loss cost of the lithium battery system aging is solved.
The economy and durability of the hybrid vehicle is then improved by minimizing a multi-objective function, which is expressed as:
wherein the content of the first and second substances,in order to provide a rate of change in the hydrogen consumption cost,for the rate of change of the fuel cell system aging consumption cost,the rate of change of the consumption cost is the aging of the fuel cell system. The multi-objective function is composed of the change rate of the energy consumption cost, and aims to convert multi-objective optimization into a quadratic programming problem finally and improve the instantaneity of the multi-objective optimization control method.
In order to ensure the stability of the state of charge of the lithium battery system under the condition of performance attenuation of the fuel battery system, the aging parameters of the fuel battery system are accurately estimated by adopting an unscented Kalman filtering algorithm based on a semi-empirical fuel battery system aging model, so that a self-adaptive equivalent factor is obtained to maintain the stability of the state of charge of the lithium battery system.
The semi-empirical fuel cell system aging model described above is expressed as:
wherein N isfcNumber of fuel cells in the fuel cell system, EoIs the open circuit voltage of the fuel cell, IfcAnd VfcCurrent and voltage, A, respectively, of the fuel cell systemtAnd BcRespectively Tafel constant and concentration constant, ToAnd IoRespectively the operating temperature of the fuel cell and the exchange current.
Wherein the resistance R of the fuel cellfcAnd limiting the current IlHas close relation with the aging state of the fuel cell system.
Then, an aging parameter alpha of the fuel cell system is set, and the fuel cell resistance R is described by using the aging parameter alphafcAnd limiting the current IlThe change of (2):
Il=Ilo×(1+a)
wherein R isfcoAnd IloInitial fuel cell resistance and limiting current, respectively, and β is the rate of change of the fuel cell system aging parameter α. And then estimating the aging parameters of the fuel cell system by adopting an unscented Kalman filtering algorithm, and updating the variances of process noise and measurement noise in the unscented Kalman filtering algorithm in real time by utilizing a covariance matching method. Finally, an adaptive equivalence factor λ is adapted based on the estimated fuel cell system aging parametereExpressed as:
λe=λeo×(1+kba)2
wherein λ iseoIs an initial equivalent factor of the number of the active elements,normal number kbTo accommodate changes in the adaptive equivalence factor. The multi-objective function is then simplified to obtain the following expression:
wherein, PbatFor the output power of lithium battery systems, AfAnd BfRespectively are a secondary term coefficient and a primary term coefficient of the output power of the fuel cell system; a. thebAnd BbRespectively representing a secondary coefficient and a primary coefficient of the output power of the lithium battery system; wherein the adaptive equivalence factor lambdaeContained in the coefficient of quadratic term BbIn (1).
Wherein, cbatCost of unit energy consumption of lithium battery system, Eb,rIs the rated capacity of the lithium battery system, AtolIs the total discharge capacity, VobIs the open circuit voltage of the lithium battery system,is hydrogen gas with low heating value.
In order to meet the dynamic requirements of vehicles and ensure that the output power of a fuel cell system and a lithium cell system is limited within an allowable variation range, the equation and inequality constraint of a multi-objective function is established and expressed as follows:
Pfc+Pbat=Pdem
Pfc,min≤Pfc≤Pfc,max
Pb,min≤Pbat≤Pb,max
wherein, Pfc,minAnd Pfc,maxMinimum and maximum output power, P, respectively, of the fuel cell systemb,minAnd Pb,maxRespectively, the minimum and maximum output power of the lithium battery system.
Finally, the multi-objective function is regarded as a secondary planning problem with constraint, and the secondary planning problem is solved and optimized by using an active set algorithm to obtain the optimal output power P of the fuel cell systemfcAnd the output power P of the lithium battery systembatMeanwhile, the real-time performance of the algorithm can be guaranteed.
The method of the invention is verified on a simulation platform, and the algorithm is verified under two standard working conditions. The initial lithium battery system state of charge is set to 0.7 and the initial equivalence factor is determined from the new fuel cell system. The maximum output power of the fuel cell system and the lithium cell system was 50kW and 25kW, respectively. Then comparing the simulation results of the energy control methods based on the constant equivalent factor and the adaptive equivalent factor when the fuel cell system is aged, the energy control optimization methods of the two methods only differ in whether the equivalent factor is updated or not. Meanwhile, the effectiveness of the designed multi-target energy control method is compared by a common equivalent energy consumption minimum method. Two simulated operating conditions are shown in fig. 2 and 3. The power distribution under both conditions is as shown in fig. 4-7. The state of charge change of the battery under the two conditions is shown in fig. 8 and fig. 9. In addition, the energy control cost ratio of each method under two working conditions is shown in table 1 and table 2. As can be seen from the simulation results, the equivalent energy consumption minimizing method reduces the aging loss of the lithium battery system, but increases the aging loss of the fuel cell system. Compared with the multi-objective optimization control method, the method with the minimum equivalent energy consumption has the largest total energy consumption cost. Compared with a multi-objective optimization control method of constant equivalent factors, the adaptive equivalent factors can maintain the state of charge of the lithium battery system to be close to an initial value.
TABLE 2 comparison of the cost of consumption of each method under UDDS conditions
Method of producing a composite material | Minimum equivalent energy consumption | Constant equivalent factor | Adaptive equivalence factor |
Ce($) | 0.301 | 0.2625 | 0.229 |
Cbat($) | 6.909e-08 | 1.673e-08 | 1.427e-07 |
Cfc($) | 1.672 | 1.65 | 1.641 |
Total of | 1.973 | 1.913 | 1.87 |
TABLE 3 comparison of cost consumption for each method under HWFET conditions
Method of producing a composite material | Equivalent energyConsumption is minimum | Constant equivalent factor | Adaptive equivalence factor |
Ce($) | 0.3316 | 0.2771 | 0.2462 |
Cbat($) | 4.678e-08 | 1.397e-07 | 1.164e-07 |
Cfc($) | 0.7694 | 0.7549 | 0.7469 |
Total of | 1.101 | 1.032 | 0.9931 |
Therefore, compared with other control methods, the method disclosed by the invention has the lowest total consumption cost under different working conditions, which means that the designed multi-objective optimization control method can balance the economy and durability of the hybrid vehicle, and meanwhile, the method can also keep the stability of the charge state of the lithium battery system.
Claims (5)
1. A hybrid vehicle multi-objective optimization control method based on adaptive equivalent factors is characterized in that:
step 1, establishing a hydrogen consumption model, a fuel cell system aging model and a lithium battery system aging model of the hybrid vehicle:
step 2, acquiring the hydrogen consumption, the fuel cell system aging state quantity and the lithium battery system aging state quantity of the hybrid power vehicle through the model established in the step 1, so as to convert the hydrogen consumption, the fuel cell system aging state quantity and the lithium battery system aging state quantity of the hybrid power vehicle into corresponding energy consumption cost;
step 3, establishing an aging model of the semi-empirical fuel cell system, setting an aging parameter of the fuel cell system, establishing a relation between the aging parameter and the resistance and the limiting current of the fuel cell, processing the aging model of the semi-empirical fuel cell system by adopting an unscented Kalman filtering algorithm to solve and estimate to obtain the aging parameter, meanwhile, calculating the variance of process noise and measurement noise in the unscented Kalman filtering algorithm by using a covariance matching method, and finally calculating an adaptive equivalent factor by using the aging parameter obtained by estimation;
and 4, establishing a multi-objective function comprising the self-adaptive equivalent factors and formed by the three energy consumption costs in the step 2, and solving by using an active set algorithm with the minimized multi-objective function as a target to obtain optimized power distribution for control.
2. The hybrid vehicle multi-objective optimization control method based on the adaptive equivalence factor according to claim 1, characterized in that: the hybrid power vehicle is internally provided with a fuel cell system and a lithium cell system, and the fuel cell system and the lithium cell system are connected to jointly provide energy for the hybrid power vehicle.
3. The hybrid vehicle multi-objective optimization control method based on the adaptive equivalence factor according to claim 1, characterized in that: the step 2 specifically comprises the following steps:
aging state quantity delta of fuel cell systemfcAnd the aging state quantity Delta of the lithium battery systembThe formula is adopted to calculate and obtain:
wherein N issIs the number of start-stops, δ, of the fuel cell systemsIs the coefficient of the number of times of starting and stopping of the fuel cell system, PfcIs the output power, P, of the fuel cell systemfc,rIs the rated power, delta, of the fuel cell system0And alpha0First and second damping coefficients for the fuel cell system, T is the operating time of the hybrid vehicle, IbatFor outputting current, Q, of lithium battery systemnAnd t is the nominal capacity of the lithium battery system and time.
4. The hybrid vehicle multi-objective optimization control method based on the adaptive equivalence factor according to claim 1, characterized in that: the step 3 specifically comprises the following steps:
the semi-empirical fuel cell system aging model is expressed as:
wherein N isfcNumber of fuel cells in the fuel cell system, EoIs the open circuit voltage of the fuel cell, IfcAnd VfcCurrent and voltage, A, respectively, of the fuel cell systemtAnd BcRespectively Tafel constant and concentration constant, ToAnd IoRespectively the operating temperature and the exchange current, R, of the fuel cellfcAnd IlRespectively representing the resistance and limiting current of the fuel cell;
then, an aging parameter alpha of the fuel cell system is set, and the fuel cell resistance R is described by using the aging parameter alphafcAnd limiting the current IlThe change of (2):
Rfc=Rfco·(1-α)
Il=Ilo·(1+α)
wherein R isfcoAnd IloRespectively initial fuel cell resistance and limiting current, beta is the change rate of the fuel cell system aging parameter alpha;
then, processing and estimating an aging parameter of the fuel cell system by adopting an unscented Kalman filtering algorithm to perform semi-empirical fuel cell system aging model, and updating the variances of process noise and measurement noise in the unscented Kalman filtering algorithm in real time by utilizing a covariance matching method;
finally, the obtained aging parameter of the fuel cell system is processed according to the following formula to obtain an adaptive equivalent factor lambdae:
λe=λeo·(1+kbα)2
Wherein λ iseoIs an initial equivalence factor, kbIndicating a normal number.
5. The hybrid vehicle multi-objective optimization control method based on the adaptive equivalence factor according to claim 1, characterized in that: the step 4 specifically comprises the following steps:
constructing a multi-objective function representation as:
wherein, JeAs a function of multiple objectives, PbatFor the output power of lithium battery systems, AfAnd BfRespectively are a secondary term coefficient and a primary term coefficient of the output power of the fuel cell system; a. thebAnd BbRespectively representing a secondary coefficient and a primary coefficient of the output power of the lithium battery system;
wherein, cbatCost of unit energy consumption of lithium battery system, Eb,rIs the rated capacity of the lithium battery system, AtolIs the total discharge capacity, VobIs the open circuit voltage of the lithium battery system,for hydrogen lower heating value, sgn () is a sign function;
the constraints of the multi-objective function are expressed as:
Pfc+Pbat=Pdem
Pfc,min≤Pfc≤Pfc,max
Pb,min≤Pbat≤Pb,max
wherein, PdemPower demand for hybrid vehicles, Pfc,minAnd Pfc,maxMinimum and maximum output power, P, respectively, of the fuel cell systemb,minAnd Pb,maxRespectively the minimum and maximum output power of the lithium battery system;
finally, the multi-objective function is regarded as a secondary planning problem with constraint, and the secondary planning problem is solved and optimized by using an active set algorithm to obtain the optimal output power P of the fuel cell systemfcAnd the output power of the lithium battery system.
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