It is a kind of consider battery life electric automobile power battery participate in electric system frequency modulation build
Mould method
Technical field
The present invention relates to electric automobile power batteries to participate in electric system frequency modulation modeling method.
Background technique
Electric car and the important link of power grid interaction technique (V2G technology) as smart grid, technological subject are electronic
Automobile is because of quick response and charge and discharge mode and the characteristic deposited, the significant effect in power system frequency adjusting.And it participates in adjusting
It is taken in small doses at short intervals during business, frequent charge and discharge can cause irreversible damage to the physical structure of electric automobile power battery, in turn
Reduce its service life.Battery life is the principal element for restricting Development of Electric Vehicles.Therefore, considering battery
Under the premise of, it establishes electric automobile power battery and participates in electric system frequency modulation model, analysis electric automobile power battery participates in electric power
System frequency modulation effect and influence to its battery life are of great significance to the development for promoting ev industry.
Existing battery loss model does not account for the influence factor and rule of batteries of electric automobile cycle life, Wu Faquan
Face describes battery in the different phase for participating in electric system frequency modulation, damage suffered by battery life;Existing frequency modulation model is only
Comprising conventional power units such as steam turbine, the hydraulic turbines, there is no considerations under the overall situation that V2G technology develops, electric powered motor electricity
The effect of pond participation electric system frequency modulation.
Summary of the invention
The present invention is to solve influence and electronic vapour the prior art does not consider that batteries of electric automobile cycle life
The problem of vehicle trip state participates in the influence of electric system frequency modulation to it, and a kind of electric car of the consideration battery life proposed
Power battery participates in electric system frequency modulation modeling method.
It is a kind of consider battery life electric automobile power battery participate in electric system frequency modulation modeling method according to the following steps
It realizes:
Step 1: establishing the electric system frequency modulation model of the module containing electric automobile power battery, exports electric powered motor
Battery power curve;
Step 2: electric car networking ratio is determined;
Step 3: the frequency modulation frequency modulation channel power mark pole of electric system frequency modulation model in step 1 is determined according to step 2
Limit value;
Step 4: establishing electric automobile power battery life consumption model, and calculates electric automobile power battery and participate in adjusting
Capacitance loss and ceiling capacity offset after frequency.
Invention effect:
The present invention considers electric car trip state and participates in electric system frequency modulation effect to electric automobile power battery
It influences, and participates in influence of the electric system frequency modulation to the electric automobile power battery service life, establish the electricity for considering battery life
Electrical automobile power battery participates in electric system frequency modulation model, participates in electric system frequency modulation to electric car from system end and battery-end
Effect is assessed.Electric system chirping strategies are participated in electric car by modeling method of the present invention to select, it can be with
Battery capacity is lost and falls to 0.0113% by 0.0158%, is i.e. most senior general's battery capacity loss reduces by 28.5%.
Detailed description of the invention
Fig. 1 is single regional power system frequency modulation illustraton of model;
Fig. 2 is electric automobile power battery frequency modulation frequency modulation channel pattern figure;
Fig. 3 is private car trip proportion moment distribution map;
Fig. 4 is private car trip distance proportional distribution map;
Fig. 5 is private car trip average speed moment distribution map;
Fig. 6 is electric car trip proportion overview logic diagram;
Fig. 7 is electric car networking proportional distribution map;
Fig. 8 is electric car frequency modulation frequency modulation channel power limiting value curve graph;
Fig. 9 is certain power grid practical daily load curve figure one day;
Figure 10 is to predict daily load curve figure certain power grid one day;
Figure 11 is electric automobile power battery primary frequency modulation strategy implementation method figure;
Figure 12 is 1 energy curves figure of power battery module group;
Figure 13 is 2 energy curves figure of power battery module group;
Figure 14 is system frequency deviation curve graph;
Figure 15 is electric automobile power battery frequency modulation frequency modulation channel limit value figure;
Figure 16 is that power battery participates in frequency modulation frequency modulation system frequency difference curve graph;
Figure 17 is power battery energy excursion curve graph.
Specific embodiment
Specific embodiment 1: a kind of electric automobile power battery for considering battery life participates in the modeling of electric system frequency modulation
Method the following steps are included:
Step 1: establishing the electric system frequency modulation model of the module containing electric automobile power battery, exports electric powered motor
Battery power curve;
Step 2: electric car networking ratio is determined;
Step 3: the frequency modulation frequency modulation channel power mark pole of electric system frequency modulation model in step 1 is determined according to step 2
Limit value;
Step 4: establishing electric automobile power battery life consumption model, and calculates electric automobile power battery and participate in adjusting
Capacitance loss and ceiling capacity offset after frequency.
Specific embodiment 2: the present embodiment is different from the first embodiment in that: it establishes and contains in the step 1
The detailed process of the electric system frequency modulation model of electric automobile power battery module are as follows:
Step 1 one: unifying frequency modulation frequency modulation principle based on power train, establishes single regional power system frequency modulation model, such as Fig. 1
It is shown;
Contain primary frequency modulation channel and frequency modulation frequency modulation channel in electric system, the transmission function in primary frequency modulation channel isGiIt (s) is the transmission function of each unit, aiFor each power of the assembling unit share coefficient, δiFor each unit difference coefficient;Two
The transmission function of secondary FM channel is K (s), and K (s) is PI control function;The output of system is the frequency departure △ of current system
f;RiFor the power partition coefficient of the unit of participation frequency modulation frequency modulation, Ta∑For regional power grid equivalent time constant, β∑For regional power grid
Equivalent self-balancing coefficient, τ are zero-order holder delay time.
Step 1 two: single regional power system frequency modulation model is added in electric automobile power battery module;
Power battery module is described using first order inertial loop, transmission function are as follows:
The wherein KEVFor electric car function frequency characteristic coefficient, TEVFor power battery module time constant, s La Pula
This operator, GEVIt (s) is the transmission function of power battery module;
The transmission function that electric automobile power battery participates in primary frequency modulation channel when electric system frequency modulation model is aEVGEV
(s), aEVFor power fraction coefficient shared by power battery module;Frequency modulation frequency modulation channel is secondary in single regional power system frequency modulation model
Power mark limiting value is increased on the basis of FM channel.Electric automobile power battery participates in electric system frequency modulation frequency modulation channel
Logic diagram is as shown in Figure 2.
Other steps and parameter are same as the specific embodiment one.
Specific embodiment 3: the present embodiment is different from the first and the second embodiment in that: in the step 2 really
Determine the detailed process of electric car networking ratio are as follows:
The present invention considers the trip feature of electric car cluster to determine electric automobile power battery frequency modulation frequency modulation channel
Mark limit value.Private car trip proportion moment, distance and velocity distribution curve are obtained according to statistical result.In the five rings of Beijing
Floating vehicle data survey statistical result difference is as shown in figure 3, figure 4 and figure 5.
For a certain moment t, automobile user trip proportion is denoted as P (t).Any time, electric car trip
Range distribution is as shown in Figure 4.When electric car trip distance is longer, restricted by travel speed, it can not be within a hour
Complete corresponding mileage.Therefore, can not be connected with power grid at subsequent time (t+1) still in driving status.But just when (t+1)
For quarter, operating range has changed.And still in the electric car of the subsequent time operation of moment t in trip distance, row
After sailing the update of the states such as speed, the state that will go on a journey with the electric car at (t+1) moment and ratio are superimposed, to obtain electronic
The overview of automobile continuous operation.Specific procedure logic diagram is as shown in Figure 6.
Wherein s (t) refers in unit interval (1h), and at a time under average speed, electric car can be travelled
Maximum distance.And refer to that electric car inscribes the row drawn up row distance and draw up this distance of row at this according to Fig. 4, d (t)
Vehicle ratio.For example, d (t) middle rolling car distance is less than the electricity of 40km when electric car is when moment t maximum displacement s (t) is 40km
Electrical automobile was believed that within this period, and halted state can be switched to by driving status, and parallel-connection network operation participates in system frequency modulation.And it goes
Electric car of the vehicle distance greater than 40km will be continued to run in subsequent time, also be needed in distance and the shared automobile group of traveling
Ratio will be updated in the state parameter of subsequent time.
On the basis of the above, by the way that whole day 24 hours, electric car group use state carried out rolling update, can obtain
Under whole day different moments, the electric car ratio change curve of power grid is accessed, as shown in Figure 7.
Step 2 one, setting initial time value t=1, according to the electric car trip speed v (t) of statistics, trip proportion P
(t) and the statistical result of trip distance d (t) obtains the speed in electric car 1 hour;
Step 2 two, the speed of service v (t) for obtaining electric car;
Step 2 three, the maximum displacement s (t) in calculating electric car 1 hour;
Step 2 four, as t=1, the operation ratio of electric car is P (t);When t is greater than 1, the operating ratio of electric car
Example is P (t)+Pa.sum. (t);
Step 2 five, iteration execute step 2 two to step 2 four, until t terminates to obtain electric car operation when being greater than 24
Proportional curve figure, networking ratio=1-operation ratio.
Other steps and parameter are the same as one or two specific embodiments.
Specific embodiment 4: unlike one of present embodiment and specific embodiment one to three: the step 2
The finding process of Pa.sum. (t) in four specifically:
Ratio Ps.d. (t) of the trip distance d (t) greater than s (t) of step (1), counting statistics data acquisition;
Driving ratio Pa.d. (t+1) outside step (2), counting statistics data, Pa.d. (t+1)=P (t) Ps.d. (t);
Step (3) updates d (t+1) for d (t)-s (t);D (t+1) is brought into again in step (1), iteration executes step
(1) and step (2), Pa.d. (t+2) is obtained;Until d (t+m) terminates less than s (t+m);
Step (4), t hours, total driving ratio is statistical data outside
Other steps and parameter are identical as one of specific embodiment one to three.
Specific embodiment 5: unlike one of present embodiment and specific embodiment one to four: the step 3
The frequency modulation frequency modulation channel power mark limiting value of electric system frequency modulation model in middle determining step 1 specifically:
Due to electric automobile power battery itself capacity limit, there are maximum output limits for the frequency modulation power provided to power grid
Value, the electric car networking ratio distribution curve according to obtained in step 2, in conjunction with battery types and electric car scale,
Power battery can be calculated and provide the output power limit achieved in auxiliary frequency modulation service to power grid, as shown in Figure 8.
Frequency modulation frequency modulation channel power mark limiting value=electric car networking ratio × batteries of electric automobile total capacity mark
Value.
Other steps and parameter are identical as one of specific embodiment one to four.
Specific embodiment 6: unlike one of present embodiment and specific embodiment one to five: the step 4
The middle detailed process for establishing electric automobile power battery life consumption model are as follows:
It is deep for cycle-index, environment temperature, charge-discharge magnification and charge and discharge by taking lithium iron phosphate dynamic battery as an example
The factor for spending four aspects is analyzed, and by battery capacity loss as the main foundation for measuring battery life decaying, is established and is used
In the battery module of electric vehicle Cycle life prediction model of frequency modulation service;
If the parameter of energy variation is A in cyclic processh;
Ah=DOD × n × Cap (2)
Cap is the capacity (AH) of battery pack in formula, and DOD is the depth of discharge (%) of battery pack, and n is power battery circulation time
Number;
Based on Arrhenius formula, battery capacity loss is obtained with the relationship of each electric stress factor:
B is the preceding paragraph factor, E in formulaaFor reaction activity, value 31500Jmol-1, T is environment where battery pack
Thermodynamic temperature (K), R are gas constant, and value is 8.314J (mol × K)-1, z is energy equation factor, value 0.55-
0.56;
When the thermodynamic temperature T of environment where battery pack is 298K, preceding paragraph factor B is the same as between discharge-rate C_Rate
Relational expression:
Other steps and parameter are identical as one of specific embodiment one to five.
Specific embodiment 7: unlike one of present embodiment and specific embodiment one to six: the step 4
The detailed process of capacitance loss and ceiling capacity offset after middle calculating electric automobile power battery participation frequency modulation are as follows:
Electric automobile power battery power curve obtained in step 1 is integrated by integrator, obtains electronic vapour
Vehicle power battery energy curves obtain ceiling capacity offset according to energy curves;Energy curves are input to
Battery life loss model, after calculating electric automobile power battery participation electric system frequency modulation according to formula (2) to formula (4)
Capacitance loss.
Other steps and parameter are identical as one of specific embodiment one to six.
Embodiment one:
It is emulated with practical one day operation data of certain power grid, load data is as shown in Figure 9 and Figure 10.With model
For the electric car parameter of " Roewe E50 ", parameter is as shown in table 1.
1 Roewe E50 vehicle relevant parameter of table
Step 1: establishing the electric system frequency modulation model that module containing electric automobile power battery participates in, wherein battery module passes
Delivery function are as follows:
Step 2: determining that electric car participates in electric system chirping strategies.
In the present embodiment, electric automobile power battery is only involved in electric system primary frequency modulation.Electric car participates in power train
Unified time chirping strategies are as follows: electric automobile power battery module is divided into two groups, and group 1 is participating in system primary frequency modulation process
In, it is first in charged state, group 2 is in discharge condition.Every to pass through 60 minutes, two groups of charging and discharging states exchange.
In Matlab/Simulink emulation platform, battery module of electric vehicle is divided into two groups by measure, sets arteries and veins
The period for rushing generator is 3600s, when pulse signal is greater than zero, inputs positive signal to the power battery of group 1, organizes 1 at this time
Power battery be in charged state, the signal negative to the power battery input of group 2, the power battery for organizing 2 at this time is in electric discharge
State;Conversely, group 1 is in discharge condition, and input signal is negative value when pulse signal is less than zero, group 2 is in charged state,
Input signal is positive value.With comparator determination frequency deviation signal whether zero passage.When frequency departure signal is positive and battery pack is defeated
Entering signal is that timing be in the battery pack of charged state and starts to charge, when frequency departure signal is less than zero and the letter of input battery pack
When number being negative, the battery pack in discharge condition is started to work, and the conversion of two groups of battery charging conditions is realized with this, only with
Pulse signal is illustrated model in case where being greater than zero, and specific steps are as shown in figure 11.
Step 3: establishing electric automobile power battery life consumption model.By taking lithium iron phosphate dynamic battery as an example, for following
Ring number, environment temperature, the factor of four aspects of charge-discharge magnification and depth of discharge are analyzed, and battery capacity is damaged
It loses as the main foundation for measuring battery life decaying, establishes pre- for the battery module of electric vehicle cycle life of frequency modulation service
Survey model;
It is introduced into the parameter A for being able to reflect energy variation in cyclic processh, provide definition:
Ah=DOD × n × Cap (2)
Cap is the capacity (AH) of battery pack in formula, and DOD is the depth of discharge (%) of battery pack, and n is power battery circulation time
Number;
It is to provide battery capacity loss with the relationship of each electric stress factor with Arrhenius formula:
B is the preceding paragraph factor, E in formulaaFor reaction activity, value 31500Jmol-1, T is environment where battery pack
Thermodynamic temperature (K), R are gas constant, and value is 8.314J (mol × K)-1, z is energy equation factor, value 0.55-
0.56;
When environment temperature T is 298K, preceding paragraph factor B is the same as the relational expression between discharge-rate C_Rate
It is emulated on Matlab/Simulink platform, as a result as shown in Figure 12, Figure 13 and Figure 14.
Calculate under the strategy, the loss of electric automobile power battery module capacity is 0.0119%, and ceiling capacity offset is
1.85%.
Embodiment two:
It is emulated with practical one day operation data of certain power grid, load data is as shown in Figure 9 and Figure 10.With model
For the electric car parameter of " Roewe E50 ", parameter is as shown in table 1.
1 Roewe E50 vehicle relevant parameter of table
Step 1: establishing the electric system frequency modulation model that module containing electric automobile power battery participates in, wherein battery module passes
Delivery function are as follows:
Step 2: determining that electric car participates in electric system chirping strategies.
In this strategy electric car participate in electric system frequency modulation frequency modulation strategy it is as follows: system frequency deviation signal, first via
PID control link generates corresponding power control signal.When power control signal is more than setting signal critical value, electronic vapour
For vehicle power battery module under the action of power control signal, frequency modulation power needed for output system reaches electric system frequency modulation
Purpose.
Wherein battery capacity share is 0.02, and zero-order holder time delay is set as 15s, electric automobile power battery
PID channel parameters are set as 0.15/0.6/0, and PID signal response critical value is set as 0.002, the electricity according to determined by step 3
Electrical automobile power battery frequency modulation frequency modulation limit value is as shown in figure 15.
Step 3: establishing electric automobile power battery life consumption model.By taking lithium iron phosphate dynamic battery as an example, for following
Ring number, environment temperature, the factor of four aspects of charge-discharge magnification and depth of discharge are analyzed, and battery capacity is damaged
It loses as the main foundation for measuring battery life decaying, establishes pre- for the battery module of electric vehicle cycle life of frequency modulation service
Survey model;
It is introduced into the parameter A for being able to reflect energy variation in cyclic processh, provide definition:
Ah=DOD × n × Cap (2)
Cap is the capacity (AH) of battery pack in formula, and DOD is the depth of discharge (%) of battery pack, and n is power battery circulation time
Number;
It is to provide battery capacity loss with the relationship of each electric stress factor with Arrhenius formula:
B is the preceding paragraph factor, E in formulaaFor reaction activity, value 31500Jmol-1, T is environment where battery pack
Thermodynamic temperature (K), R are gas constant, and value is 8.314J (mol × K)-1, z is energy equation factor, value 0.55-
0.56;
When environment temperature T is 298K, preceding paragraph factor B is the same as the relational expression between discharge-rate C_Rate
It is emulated on Matlab/Simulink platform, as a result as shown in Figure 16 and Figure 17.
By calculating, electrical automobile power battery module life loss is 0.0215% under the strategy, and ceiling capacity offset is
14.62%.
Embodiment three:
It is emulated with practical one day operation data of certain power grid, load data is as shown in Figure 9 and Figure 10.With model
For the electric car parameter of " Roewe E50 ", parameter is as shown in table 1.
1 Roewe E50 vehicle relevant parameter of table
In the present embodiment, there are four types of charge and discharge strategies:
Strategy 1: during participating in system primary frequency modulation, power battery module can freely turn between charge and discharge state
It changes;
Strategy 2: electric automobile power battery module is divided into three groups, and group 1 is during participating in system primary frequency modulation, first
Switch to discharge condition when energy content of battery variation is more than gross energy 1.85% in charged state.Group 2 is similar with group 1, but first
In discharge condition.Group 3 will participate in system frequency modulation when will be in identical charging and discharging state with group 2 organizing 1.Wherein, group 1 and group 2
Battery capacity is the 40% of power battery total capacity, and 3 capacity of group are the 20% of power battery total capacity;
Strategy 3: electric automobile power battery module is divided into two groups, and group 1 is during participating in system primary frequency modulation, first
In charged state, group 2 is in discharge condition.Every to pass through 60 minutes, two groups of charging and discharging states exchange;
Strategy 4: electric automobile power battery module is divided into two groups, and group 1 is during participating in system primary frequency modulation, only
It charges, group 2 is only discharged.
Step 1: establishing the electric system frequency modulation model that module containing electric automobile power battery participates in, wherein battery module passes
Delivery function are as follows:
Step 2: establishing electric automobile power battery life consumption model.By taking lithium iron phosphate dynamic battery as an example, for following
Ring number, environment temperature, the factor of four aspects of charge-discharge magnification and depth of discharge are analyzed, and battery capacity is damaged
It loses as the main foundation for measuring battery life decaying, establishes pre- for the battery module of electric vehicle cycle life of frequency modulation service
Survey model;
It is introduced into the parameter A for being able to reflect energy variation in cyclic processh, provide definition:
Ah=DOD × n × Cap (2)
Cap is the capacity (AH) of battery pack in formula, and DOD is the depth of discharge (%) of battery pack, and n is power battery circulation time
Number;
It is to provide battery capacity loss with the relationship of each electric stress factor with Arrhenius formula:
B is the preceding paragraph factor, E in formulaaFor reaction activity, value 31500Jmol-1, T is environment where battery pack
Thermodynamic temperature (K), R are gas constant, and value is 8.314J (mol × K)-1, z is energy equation factor, value 0.55-
0.56;
When environment temperature T is 298K, preceding paragraph factor B is the same as the relational expression between discharge-rate C_Rate
It is as shown in table 2 by calculating power battery module capacity and energy variation numerical value under Different Strategies.
Power battery module capacity and energy variation under 2 Different Strategies of table
It is analyzed by the method for the invention, pays the utmost attention to the capacitance loss of battery, selection strategy 2 is used as electric powered motor
Battery participates in electric system chirping strategies, battery capacity can be lost and fall to 0.0113% by 0.0158%, is i.e. most senior general
Battery capacity loss reduces by 28.5%.