CN105488333B - City railway vehicle remaining battery capacity computational methods - Google Patents

City railway vehicle remaining battery capacity computational methods Download PDF

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CN105488333B
CN105488333B CN201510821874.8A CN201510821874A CN105488333B CN 105488333 B CN105488333 B CN 105488333B CN 201510821874 A CN201510821874 A CN 201510821874A CN 105488333 B CN105488333 B CN 105488333B
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soc
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CN105488333A (en
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李晓明
姜波
李海龙
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CRRC Changchun Railway Vehicles Co Ltd
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Changchun Railway Vehicles Co Ltd
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Abstract

The city railway vehicle remaining battery capacity computational methods of the present invention belong to city railway vehicle Vehicular accumulator cell remaining capacity calculation method field, the city railway vehicle remaining battery capacity computational methods substantially envisage the changing rule for the different kinds of parameters that storage battery charge state is influenceed in actual condition, so as to which the changing rule of these parameters and multiple rating index that dispatch from the factory that can influence accumulator capacity solving precision are considered, and the empirical law summarized in actual condition is combined to attempt to establish the uniform mathematical model for reacting all variables and systematic error, this has the mathematical modeling of error compensation ability being capable of accurate capability value of the calculating accumulator under various working, therefore it can be debugged for train or operation management provides quick and reliable accumulator capacity status information, have broad application prospects and promotional value.

Description

City railway vehicle remaining battery capacity computational methods
Technical field
The invention belongs to city railway vehicle Vehicular accumulator cell remaining capacity calculation method field, and in particular to a kind of city railway vehicle Remaining battery capacity computational methods.
Background technology
At present, in city railway vehicle Vehicular accumulator cell capacity management field, only weighed by judging battery tension value Remaining battery capacity SOC (State OfCharge) size, judge that the voltage of certain battery is less than when weighing method with magnitude of voltage During certain certain value, then it is assumed that the battery is not enough to provide enough capacity for train use.This magnitude of voltage is weighed method and failed Consider the influences of the other factors to accumulator capacity such as charging and discharging currents size, battery temp and battery degree of aging, Battery currently real residual capacity can not be accurately represented, or even bigger deviation can be produced, so as to cause to waste and pass through Ji loss.
Current integration method is a kind of more ripe remaining battery capacity SOC computational methods, and its cardinal principle is logical Cross electric current and the Integration Solving of discharge and recharge time in calculating a period of time and show that the changing value of electricity in the time of integration accounts for initially always The percentage of electricity, and then initial capacity and the difference changed between capacity are obtained, the difference is residual capacity, its calculation formula For：
In formula (1), SOC (t) is residual capacity；SOC(t0) it is initial capacity, I is battery current, and Q is specified electric quantity, t For the time of integration；
The initial residual capacity SOC (t of battery in itself0) by TCMS Train Controls and management system in train initial power-on Read the currency in own internal memory and obtain.
In the driving conditions of city railway vehicle, if vehicular electricity storage tankage is too low, charger is with constant normalized current Charged for battery, accumulator electric-quantity is gradually increased, constant voltage floating charge is carried out when battery charging basically reaches full charge, with Minimum electric current, which continues charging, ensures that the electric property of battery is farthest recovered, and this process charge efficiency is approximately 100%, therefore the dynamic process of calculating accumulator residual capacity need not consider charge efficiency.But when battery discharging, it is put The size of electric current can then change according to the difference of load, and its change procedure very different, no rule are available for pursuing, because The discharge-rate of this battery must pay attention to the dynamic process of battery remaining power.
On the other hand, the manufacturer of battery can summarize according to test of many times and record and draw one《Difference electric discharge Electric current and the relation table of discharge time》As table 1, the table 1 is typically that battery producer provides for the accumulator product of its sale Test parameters, to instruct user to understand the basic performance of its battery.The test of many times refers to the normal temperature at 25 DEG C Under the conditions of, by tested battery with the current value I tested by table 1SurveyMultiple discharge experiment is carried out, records it in discharge process In make the time value T that expends required for dead battery capabilitySurvey；
DTM-3 series type Vehicular accumulator cells are often used with domestic city railway vehicle used in the Line 2 Metro vehicle project of Nanchang Exemplified by, when the battery dispatches from the factory, the discharge current value I of the different tests provided by producerSurveyAnd its corresponding time of measuring TSurvey's Known corresponding relation is as described in Table 1：
Table 1
Different test electric current I shown in table 1SurveyAnd its corresponding time of measuring TSurvey, the numerical value corresponding relation both it is equal The known quantity provided by producer.
Purchase battery user be referred to table 1 data and according to oneself using special operation condition ring during battery Border and application method further verify the performance parameters of battery, or attempt reasoning again and draw targetedly unique algorithm Compensating factor.
However, due to the complexity of cell batteries production technology, also deposited even if with a batch of battery when dispatching from the factory In individual difference, meanwhile, different batteries is also far from each other using process in its respective electric discharge, and this causes different electric power storages There is larger difference in the actual use operating mode of pond individual, this causes the state-of-charge of battery by discharge current, inside battery temperature The influence of the factors such as degree, self discharge, aging and completely different battery remaining power state is presented.Existing current integration method institute The remaining battery capacity SOC value of solution fails to take into full account the error caused by aforementioned affect factor, therefore this method calculates As a result it is not accurate enough, remaining battery capacity SOC actual value can not be accurately reflected, its result often produces bigger inclined Difference, therefore the high precision computation need of promptness that vehicle power management module tests and assesses to battery capacity and accuracy can not be met Ask, and then have a strong impact on TCMS Train Control and management system (Train Control of the power management module to railroad train AndManagement System, TCMS) institute's real-time report accumulator parameter information and system low-voltage warning information it is reliable Property, this provides accurate battery condition information when causing vehicle power management module can not debug or run for train, even Endanger traffic safety.
The content of the invention
The remaining battery capacity SOC value solved to solve existing current integration method fails to take into full account battery Error of the state-of-charge caused by by influence factors such as charging and discharging currents, internal temperature of battery, self discharge, agings, it can not Remaining battery capacity SOC actual value is accurately reflected, therefore can not meet that vehicle power management module is tested and assessed to battery capacity Promptness and accuracy high precision computation demand, and then this cause vehicle power management module can not be train debug or transport Accurate battery condition information is provided during battalion, or even endangers the technical problem of traffic safety, the present invention provides a kind of subway car Remaining battery capacity computational methods.
The technical solution adopted for solving the technical problem of the present invention is as follows：
City railway vehicle remaining battery capacity computational methods, it comprises the following steps：
Step 1：Parametric variable needed for setting, it specifically includes following sub-step：
Step 1.1：Go out given in the different discharge currents and the relation table of discharge time 1 that storage battery production producer is provided Time of measuring TSurveyChronomere a hour h is converted to by minute m, then by the current value I of test parameters shown in table 1SurveyWith consumption The time T takenSurveyThe two product try to achieve the capacity charge Q of the test batterycal0；And result of calculation is merged with table 1, weight Newly it is integrated into different discharge currents and time and the corresponding relation table table 2 for calculating electricity；
Step 1.2：After the data shown in table 2 are obtained, continue step 1.3；
Step 1.3：Battery temperature compensation factor f (Temp), cycle life compensating factor f (Time), dynamic are defined respectively During the variation delta SOC of battery capacity, temperature compensation factor with the time dynamic variable quantity correction factor f (Temp (t)), Storage value SOC (the t of discharge-rate compensating factor, battery remaining power0), different discharge currents and time and the pass of corresponding electricity Real-time battery remaining power is that SOC (t) and TCMS is run within 2s to battery remaining power in dynamic process defined in system Initial compensation value SOC'(t0), wherein：
Defined battery temperature compensation factor f (Temp) is real-time known quantity, and its expression formula is：
F (Temp)=1+kT×(T-T0)……(2)
In formula (2), battery initial temperature T is the known quantity for being detected by temperature sensor and being obtained in real time, and unit is Celsius Degree；kTIt is temperature coefficient, its span is (0.006~0.008)；T0For the temperature corresponding to specified electric quantity Q, it is known Amount；
Defined cycle life compensating factor f (Time) is real-time known quantity, and its expression formula is：
In formula (3), ∑ Time (i) is battery accumulated cycles, the parameter by Train Control and management system TCMS from It is dynamic to store and transfer, TimeInitialIn nominal cycle life-span when being dispatched from the factory for battery, be known quantity；
Defining η, its expression formula is respectively for discharge-rate：
In formula (4), QNCharge value when representing to discharge to battery using normalized current released in battery, it is The intrinsic known parameters provided when battery dispatches from the factory by battery producer；
QcalRepresent the electricity released using any electric current from battery；QcalTabled look-up acquisition according to foregoing table 2, QcalIt is The amount of knowing；
Dynamic variable quantity correction factor f (Temp (t)) of the temperature compensation factor with the time is defined, its expression formula is：
F (Temp (t))=1+kT×(T(t)-T0)……(5)
In formula (5), parameter f (Temp (t)) to be solved represents that temperature compensation factor corrects with the dynamic variable quantity of time The factor；Temperature coefficient kTSpan be (0.006~0.008)；Battery real time temperature T (t) is real-time by temperature sensor The known quantity for detecting and obtaining；T0For initial temperature value, T corresponding to specified electric quantity Q0It is known quantity；
The variation delta SOC of battery capacity expression formula is in defined dynamic process：
In formula (6), parameter Δ SOC to be solved is the variable quantity of battery capacity in dynamic process, before f (Temp (t)) is Dynamic variable quantity correction factor of the temperature compensation factor described in formula (5) with the time is stated, can be tried to achieve by calculating；η is electric discharge times Rate, it is calculated by previously described formula (4) and tried to achieve, and battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is One real-time change amount, is the known quantity for being detected by current sensor and being obtained in real time；Integration time period is t0To t, t is integration The instantaneous moment of calculating；
Step 2：On train battery after electricity, the advanced parameter needed for the subsequent step of part is calculated and solves, its is specific Including following sub-step：
Step 2.1：The remaining battery capacity stored in internal storage is read by Train Control and management system TCMS SOC storage numerical value SOC (t0)；
Step 2.2：The formula (2) according to step 1, which calculates, obtains battery temperature compensation factor f (Temp)；
Step 2.3：The formula (3) according to step 1, which calculates, obtains cycle life compensating factor f (Time)；
Step 2.4：The formula (4) according to step 1, which calculates, obtains discharge-rate η；
Step 2.5：The formula (5) according to step 1, which calculates, obtains dynamic variable quantity correction of the temperature compensation factor with the time Factor f (Temp (t))；
Step 2.6：As the known quantity and further formulas according to step 1 of the f (Temp (t)) that step 2.5 is solved (6) the variation delta SOC for obtaining battery capacity in dynamic process is calculated, then performs step 3；
Step 3：Judge the control system of its own under power supply lower state by Train Control and management system TCMS Through continuously whether running less than 2s, if so, then performing step 4, step 6 is otherwise directly performed；
Step 4：Define and calculate and solve within TCMS operations 2s to the initial compensation value SOC' of battery remaining power (t0), its compensation expression formula is：
SOC'(t0)=SOC (t0)×f(Temp)×f(Time)……(7)
In formula (7), SOC'(t to be solved0) represent within TCMS operations 2s to the initial compensation value of battery remaining power, Within it is by TCMS 2s after an initial power up, reads the current total capacity value of present battery of itself and obtain, and as initial Known quantity participates in subsequent arithmetic；The battery capacity storage value SOC (t that TCMS is read0), battery temperature compensation factor f (Temp) and Cycle life compensating factor f (Time) is then obtained respectively by step 2.1 to step 2.3；
Step 5：According to dynamic process defined in table 2, define and solve real-time battery remaining power SOC (t), its table It is up to formula：
SOC (t)=SOC'(t0)-ΔSOC……(8)
In formula (8), parameter SOC (t) to be solved is different electric currents and time and corresponding electricity according to defined in table 2 Real-time battery remaining power in dynamic process defined in relation；
The current total capacity SOC'(t of battery within TCMS operations 2s0) can be calculated and tried to achieve by step 4 formula (7)；
The variation delta SOC of battery capacity can be calculated by formula described in step 1 (6) and tried to achieve in dynamic process；
Step 6：According to the battery temperature compensation factor f (Temp (t)) described in step 2.5 to formula described in step 1 (6) Battery capacity variation delta SOC carries out real-time battery temperature compensation, and its compensation expression formula is：
In formula (9), battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is one and becomes in real time Change amount, it is the known quantity for being detected by current sensor and being obtained in real time；Integration time period is t0To t, t is the instantaneous of integral and calculating Moment；
Step 7：Judge whether battery is in discharge condition by Train Control and management system TCMS, if so, then performing step Rapid eight, otherwise, perform step 9；
Step 8：Battery capacity variation delta SOC as Train Control and management system TCMS to formula described in step 6 (9) Discharge-rate compensation is carried out, its compensation expression formula is：
In formula (10), battery temperature compensation factor f (Temp (t)) is obtained by step 2.5, and discharge-rate η is obtained by step 2.4 ；Battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is a real-time change amount, is by electric current The known quantity that sensor is detected and obtained in real time；Integration time period is t0To t, t is the instantaneous moment of integral and calculating；
Step 9：Present battery remaining capacity value SOC (t), its computational chart are calculated by Train Control and management system TCMS It is up to formula：
SOC (t)=SOC'(t0)-ΔSOC……(11)
In formula (11), to the initial compensation value SOC'(t of battery remaining power within TCMS operations 2s0) step 4 can be passed through The formula (7) calculates and tried to achieve；Battery capacity variation delta SOC is calculated by formula described in step 8 (10) and tried to achieve；
Step 10：The present battery remaining capacity value SOC (t) as described in Train Control and management system TCMS by step 9 Result of calculation and current corresponding battery accumulated cycles ∑ Time (i) are saved in internal storage, then repeat to hold Row step 3 is untill train powers off.
The beneficial effects of the invention are as follows：The city railway vehicle remaining battery capacity computational methods are substantially envisaged in reality The changing rule of the different kinds of parameters of storage battery charge state is influenceed in operating mode, so as to by the changing rule of these parameters and multiple energy The rating index that dispatches from the factory for enough influenceing accumulator capacity solving precision considers, and combines the experience summarized in actual condition Rule is attempted to establish the uniform mathematical model for reacting all variables and systematic error, should mathematical modulo with error compensation ability Type being capable of accurately capability value of the calculating accumulator under various working, therefore can be provided fast for train debugging or operation management And reliable accumulator capacity status information, have broad application prospects and promotional value.
Embodiment
The present invention is described in further details below in conjunction with the accompanying drawings.
DTM-3 series type Vehicular accumulator cells are often used with domestic city railway vehicle used in the Line 2 Metro vehicle project of Nanchang Exemplified by, concrete application the present invention city railway vehicle remaining battery capacity computational methods when, it is comprised the following steps that：
Step 1：Parametric variable needed for setting, it specifically includes following sub-step：
Step 1.1：Storage battery production producer is provided《Different discharge currents and the relation table of discharge time》, i.e. table 1 Shown in time of measuring TSurveyChronomere a hour unit h is converted to by minute unit m, then by test parameters shown in table 1 Current value ISurveyWith the time T of consumingSurveyThe two product try to achieve the capacity charge Q of the test batterycal0；And tied calculating Fruit merges with table 1, reintegrate for《Different discharge currents and time and the corresponding relation table for calculating electricity》Table 2, it is as follows：
In table 2, Qcal0=ISurvey×TSurvey, its measurement unit is Ah, i.e. (ampere × hour)；
Step 1.2：Obtaining described in table 2《Different discharge currents and time and the corresponding relation table for calculating electricity》Data Afterwards, step 1.3 is continued；
Step 1.3：Battery temperature compensation factor f (Temp), cycle life compensating factor f (Time), dynamic are defined respectively During the variation delta SOC of battery capacity, temperature compensation factor with the time dynamic variable quantity correction factor f (Temp (t)), Storage value SOC (the t of discharge-rate compensating factor, battery remaining power0), different discharge currents and time and the pass of corresponding electricity Real-time battery remaining power is that SOC (t) and TCMS is run within 2s to battery remaining power in dynamic process defined in system Initial compensation value SOC'(t0) etc. primary known quantity, wherein：
Defined battery temperature compensation factor f (Temp) is real-time known quantity, and its expression formula is：
F (Temp)=1+kT×(T-T0)……(2)
In formula (2), battery initial temperature T is the known quantity for being detected by temperature sensor and being obtained in real time, and unit is Celsius Degree；kTIt is temperature coefficient, its span is (0.006~0.008)；T0For the temperature corresponding to specified electric quantity Q, it is known Amount；
Defined cycle life compensating factor f (Time) is real-time known quantity, and its expression formula is：
In formula (3), ∑ Time (i) is battery accumulated cycles, the parameter by Train Control and management system TCMS from It is dynamic to store and transfer, TimeInitialIn nominal cycle life-span when being dispatched from the factory for battery, be known quantity；
Defining η, its expression formula is respectively for discharge-rate：
In formula (4), QNCharge value when representing to discharge to battery using normalized current released in battery, it is The intrinsic known parameters provided when battery dispatches from the factory by battery producer；
QcalRepresent the electricity released using any electric current from battery；QcalTabled look-up acquisition according to foregoing table 2, QcalIt is The amount of knowing；
Dynamic variable quantity correction factor f (Temp (t)) of the temperature compensation factor with the time is defined, its expression formula is：
F (Temp (t))=1+kT×(T(t)-T0)……(5)
In formula (5), parameter f (Temp (t)) to be solved represents the dynamic compensating factor of temperature with the dynamic change of time Amount；Temperature coefficient kTSpan be (0.006~0.008)；Battery real time temperature T (t) is examined in real time by temperature sensor The known quantity surveyed and obtained；T0For initial temperature value, T corresponding to specified electric quantity Q0It is known quantity；；
The variation delta SOC of battery capacity expression formula is in defined dynamic process：
In formula (6), parameter Δ SOC to be solved is the variable quantity of battery capacity in dynamic process, before f (Temp (t)) is Dynamic variable quantity correction factor of the temperature compensation factor described in formula (5) with the time is stated, can be tried to achieve by calculating；η is electric discharge times Rate, it is calculated by previously described formula (4) and tried to achieve, and battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is One real-time change amount, is the known quantity for being detected by current sensor and being obtained in real time；Integration time period is t0To t, t is integration The instantaneous moment of calculating；
Step 2：On train battery after electricity, the advanced parameter needed for the subsequent step of part is calculated and solves, its is specific Including following sub-step：
Step 2.1：The remaining battery capacity stored in internal storage is read by Train Control and management system TCMS SOC storage numerical value SOC (t0)；
Step 2.2：The formula (2) according to step 1, which calculates, obtains battery temperature compensation factor f (Temp)；
Step 2.3：The formula (3) according to step 1, which calculates, obtains cycle life compensating factor f (Time)；
Step 2.4：The formula (4) according to step 1, which calculates, obtains discharge-rate η；
Step 2.5：The formula (5) according to step 1, which calculates, obtains dynamic variable quantity correction of the temperature compensation factor with the time Factor f (Temp (t))；
Step 2.6：As the known quantity and further formulas according to step 1 of the f (Temp (t)) that step 2.5 is solved (6) the variation delta SOC for obtaining battery capacity in dynamic process is calculated, then performs step 3；
Step 3：Judge the control system of its own under power supply lower state by Train Control and management system TCMS Through continuously whether running less than 2s, if so, then performing step 4, step 6 is otherwise directly performed；
Step 4：Define and calculate and solve within TCMS operations 2s to the initial compensation value SOC' of battery remaining power (t0), its compensation expression formula is：
SOC'(t0)=SOC (t0)×f(Temp)×f(Time)……(7)
In formula (7), SOC'(t to be solved0) represent within TCMS operations 2s to the initial compensation value of battery remaining power, Within it is by TCMS 2s after an initial power up, reads the current total capacity value of present battery of itself and obtain, and as initial Known quantity participates in subsequent arithmetic；The battery capacity storage value SOC (t that TCMS is read0), battery temperature compensation factor f (Temp) and Cycle life compensating factor f (Time) is then obtained respectively by step 2.1 to step 2.3；
Step 5：According to dynamic process defined in table 2, define and solve real-time battery remaining power SOC (t), its table It is up to formula：
SOC (t)=SOC'(t0)-ΔSOC……(8)
In formula (8), parameter SOC (t) to be solved is different electric currents and time and corresponding electricity according to defined in table 2 Real-time battery remaining power in dynamic process defined in relation；
The current total capacity SOC'(t of battery within TCMS operations 2s0) can be calculated and tried to achieve by step 4 formula (7)；
The variation delta SOC of battery capacity can be calculated by formula described in step 1 (6) and tried to achieve in dynamic process；
Step 6：According to the battery temperature compensation factor f (Temp (t)) described in step 2.5 to formula described in step 1 (6) Battery capacity variation delta SOC carries out real-time battery temperature compensation, and its compensation expression formula is：
In formula (9), battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is one and becomes in real time Change amount, it is the known quantity for being detected by current sensor and being obtained in real time；Integration time period is t0To t, t is the instantaneous of integral and calculating Moment；
Step 7：Judge whether battery is in discharge condition by Train Control and management system TCMS, if so, then performing step Rapid eight, otherwise, perform step 9；
Step 8：Battery capacity variation delta SOC as Train Control and management system TCMS to formula described in step 6 (9) Discharge-rate compensation is carried out, its compensation expression formula is：
In formula (10), battery temperature compensation factor f (Temp (t)) is obtained by step 2.5, and discharge-rate η is obtained by step 2.4 ；Battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is a real-time change amount, is by electric current The known quantity that sensor is detected and obtained in real time；Integration time period is t0To t, t is the instantaneous moment of integral and calculating；
Step 9：Present battery remaining capacity value SOC (t), its computational chart are calculated by Train Control and management system TCMS It is up to formula：
SOC (t)=SOC'(t0)-ΔSOC……(11)
In formula (11), to the initial compensation value SOC'(t of battery remaining power within TCMS operations 2s0) step 4 can be passed through The formula (7) calculates and tried to achieve；Battery capacity variation delta SOC is calculated by formula described in step 8 (10) and tried to achieve；
Step 10：The present battery remaining capacity value SOC (t) as described in Train Control and management system TCMS by step 9 Result of calculation and current corresponding battery accumulated cycles ∑ Time (i) are saved in internal storage, then repeat to hold Row step 3 is untill train powers off.

Claims (1)

1. city railway vehicle remaining battery capacity computational methods, it is characterised in that this method comprises the following steps：
Step 1：Parametric variable needed for setting, it specifically includes following sub-step：
Step 1.1：The survey gone out given in the different discharge currents and the relation table of discharge time that storage battery production producer is provided Measure time TSurveyChronomere a hour h is converted to by minute m, then by the current value I of the test parameters in the tableSurveyWith consuming Time TSurveyThe two product try to achieve the capacity charge Q of the test batterycal0；And by result of calculation and ISurveyAnd TSurveyData are closed And reintegrate as different discharge currents and time and the corresponding relation table for calculating electricity；
Step 1.2：Different discharge currents are being obtained to after the data of time and the corresponding relation table for calculating electricity, continuing step 1.3；
Step 1.3：Battery temperature compensation factor f (Temp), cycle life compensating factor f (Time), dynamic process are defined respectively Dynamic variable quantity correction factor f (Temp (t)) with the time of the variation delta SOC of middle battery capacity, temperature compensation factor, electric discharge Storage value SOC (the t of multiplying power compensating factor, battery remaining power0), different discharge currents and the relation of time and corresponding electricity institute Real-time battery remaining power is that SOC (t) and TCMS is run within 2s to the first of battery remaining power in the dynamic process of definition Beginning offset SOC'(t0), wherein：
Defined battery temperature compensation factor f (Temp) is real-time known quantity, and its expression formula is：
F (Temp)=1+kT×(T-T0)……(2)
In formula (2), battery initial temperature T is the known quantity for being detected by temperature sensor and being obtained in real time, and unit is degree Celsius；kT It is temperature coefficient, its span is (0.006~0.008)；T0For the temperature corresponding to specified electric quantity Q, it is known quantity；
Defined cycle life compensating factor f (Time) is real-time known quantity, and its expression formula is：
<mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>T</mi> <mi>i</mi> <mi>m</mi> <mi>e</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>-</mo> <mfrac> <mrow> <mi>&amp;Sigma;</mi> <mi>T</mi> <mi>i</mi> <mi>m</mi> <mi>e</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>Time</mi> <mrow> <mi>I</mi> <mi>n</mi> <mi>i</mi> <mi>t</mi> <mi>i</mi> <mi>a</mi> <mi>l</mi> </mrow> </msub> </mrow> </mfrac> <mo>...</mo> <mo>...</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
In formula (3), ∑ Time (i) is battery accumulated cycles, and the parameter is deposited automatically by Train Control and management system TCMS Store up and transfer, TimeInitialIn nominal cycle life-span when being dispatched from the factory for battery, be known quantity；
Defining η, its expression formula is respectively for discharge-rate：
<mrow> <mi>&amp;eta;</mi> <mo>=</mo> <mfrac> <msub> <mi>Q</mi> <mi>N</mi> </msub> <msub> <mi>Q</mi> <mrow> <mi>c</mi> <mi>a</mi> <mi>l</mi> </mrow> </msub> </mfrac> <mo>...</mo> <mo>...</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
In formula (4), QNCharge value when representing to discharge to battery using normalized current released in battery, it is electric power storage The intrinsic known parameters provided when pond is dispatched from the factory by battery producer；
QcalRepresent the electricity released using any electric current from battery；QcalAccording to foregoing different discharge currents and time and corresponding The relation table for calculating electricity is tabled look-up acquisition, QcalIt is known quantity；
Dynamic variable quantity correction factor f (Temp (t)) of the temperature compensation factor with the time is defined, its expression formula is：
F (Temp (t))=1+kT×(T(t)-T0)……(5)
In formula (5), parameter f (Temp (t)) to be solved represents dynamic variable quantity correction factor of the temperature compensation factor with the time； Temperature coefficient kTSpan be (0.006~0.008)；Battery real time temperature T (t) be detected in real time by temperature sensor and The known quantity of acquisition；T0For initial temperature value, T corresponding to specified electric quantity Q0It is known quantity；
The variation delta SOC of battery capacity expression formula is in defined dynamic process：
<mrow> <mi>&amp;Delta;</mi> <mi>S</mi> <mi>O</mi> <mi>C</mi> <mo>=</mo> <mi>f</mi> <mrow> <mo>(</mo> <mi>T</mi> <mi>e</mi> <mi>m</mi> <mi>p</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mi>&amp;eta;</mi> <mo>&amp;times;</mo> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> <mi>t</mi> </msubsup> <mfrac> <mi>I</mi> <mi>Q</mi> </mfrac> <mi>d</mi> <mi>t</mi> <mo>...</mo> <mo>...</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
In formula (6), parameter Δ SOC to be solved is the variable quantity of battery capacity in dynamic process, and f (Temp (t)) is previously described formula (5) temperature compensation factor described in can be tried to achieve with the dynamic variable quantity correction factor of time by calculating；η is discharge-rate, its Calculated and tried to achieve by previously described formula (4), battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is one Real-time change amount, it is the known quantity for being detected by current sensor and being obtained in real time；Integration time period is t0To t, t is integral and calculating Instantaneous moment；
Step 2：On train battery after electricity, the advanced parameter needed for the subsequent step of part is calculated and solves, it is specifically included Following sub-step：
Step 2.1：Read the remaining battery capacity SOC's stored in internal storage by Train Control and management system TCMS Store numerical value SOC (t0)；
Step 2.2：The formula (2) according to step 1, which calculates, obtains battery temperature compensation factor f (Temp)；
Step 2.3：The formula (3) according to step 1, which calculates, obtains cycle life compensating factor f (Time)；
Step 2.4：The formula (4) according to step 1, which calculates, obtains discharge-rate η；
Step 2.5：The formula (5) according to step 1, which calculates, obtains dynamic variable quantity correction factor of the temperature compensation factor with the time f(Temp(t))；
Step 2.6：As known quantity and further formula (6) according to step 1 of the f (Temp (t)) that step 2.5 is solved The variation delta SOC for obtaining battery capacity in dynamic process is calculated, then performs step 3；
Step 3：Judge that the control system of its own has connected under power supply lower state by Train Control and management system TCMS Whether reforwarding row is less than 2s, if so, then performing step 4, otherwise directly performs step 6；
Step 4：Define and calculate and solve within TCMS operations 2s to the initial compensation value SOC'(t of battery remaining power0), it is mended Repaying expression formula is：
SOC'(t0)=SOC (t0)×f(Temp)×f(Time)……(7)
In formula (7), SOC'(t to be solved0) represent within TCMS operations 2s to the initial compensation value of battery remaining power, its by Within the 2s of TCMS after an initial power up, read the current total capacity value of present battery of itself and obtain, and as initial known Amount participates in subsequent arithmetic；The battery capacity storage value SOC (t that TCMS is read0), battery temperature compensation factor f (Temp) and circulation Life-span compensating factor f (Time) is then obtained respectively by step 2.1 to step 2.3；
Step 5：The dynamic process according to defined in different discharge currents to time and the corresponding relation table for calculating electricity, definition And real-time battery remaining power SOC (t) is solved, its expression formula is：
SOC (t)=SOC'(t0)-ΔSOC……(8)
In formula (8), parameter SOC (t) to be solved is to be moved according to defined in different electric currents to the relation of time and corresponding electricity Real-time battery remaining power during state；
The current total capacity SOC'(t of battery within TCMS operations 2s0) can be calculated and tried to achieve by step 4 formula (7)；
The variation delta SOC of battery capacity can be calculated by formula described in step 1 (6) and tried to achieve in dynamic process；
Step 6：Battery according to the battery temperature compensation factor f (Temp (t)) described in step 2.5 to formula described in step 1 (6) Volume change amount Δ SOC carries out real-time battery temperature compensation, and its compensation expression formula is：
<mrow> <mi>&amp;Delta;</mi> <mi>S</mi> <mi>O</mi> <mi>C</mi> <mo>=</mo> <mi>f</mi> <mrow> <mo>(</mo> <mi>T</mi> <mi>e</mi> <mi>m</mi> <mi>p</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> <mi>t</mi> </msubsup> <mfrac> <mi>I</mi> <mi>Q</mi> </mfrac> <mi>d</mi> <mi>t</mi> <mo>...</mo> <mo>...</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
In formula (9), battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is a real-time change amount, It is the known quantity for being detected by current sensor and being obtained in real time；Integration time period is t0To t, t is the instantaneous moment of integral and calculating；
Step 7：Judge whether battery is in discharge condition by Train Control and management system TCMS, if so,
Step 8 is then performed, otherwise, performs step 9；
Step 8：The battery capacity variation delta SOC of formula described in step 6 (9) is carried out as Train Control and management system TCMS Discharge-rate compensates, and its compensation expression formula is：
<mrow> <mi>&amp;Delta;</mi> <mi>S</mi> <mi>O</mi> <mi>C</mi> <mo>=</mo> <mi>f</mi> <mrow> <mo>(</mo> <mi>T</mi> <mi>e</mi> <mi>m</mi> <mi>p</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mi>&amp;eta;</mi> <mo>&amp;times;</mo> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> <mi>t</mi> </msubsup> <mfrac> <mi>I</mi> <mi>Q</mi> </mfrac> <mi>d</mi> <mi>t</mi> <mo>...</mo> <mo>...</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
In formula (10), battery temperature compensation factor f (Temp (t)) is obtained by step 2.5, and discharge-rate η is obtained by step 2.4； Battery specified electric quantity Q is known quantity, and I is discharge current in battery dynamic process, is a real-time change amount, is by current sense The known quantity that device is detected and obtained in real time；Integration time period is t0To t, t is the instantaneous moment of integral and calculating；
Step 9：Present battery remaining capacity value SOC (t), its calculation expression are calculated by Train Control and management system TCMS For：
SOC (t)=SOC'(t0)-ΔSOC……(11)
In formula (11), to the initial compensation value SOC'(t of battery remaining power within TCMS operations 2s0) can be by described in step 4 Formula (7) is calculated and tried to achieve；Battery capacity variation delta SOC is calculated by formula described in step 8 (10) and tried to achieve；
Step 10：Present battery remaining capacity value SOC (t) calculating as described in Train Control and management system TCMS by step 9 As a result and current corresponding battery accumulated cycles ∑ Time (i) is saved in internal storage, then repeats step Rapid three untill train powers off.
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