CN109229119A - A kind of traction optimization method suitable for tramcar - Google Patents
A kind of traction optimization method suitable for tramcar Download PDFInfo
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- CN109229119A CN109229119A CN201810990957.3A CN201810990957A CN109229119A CN 109229119 A CN109229119 A CN 109229119A CN 201810990957 A CN201810990957 A CN 201810990957A CN 109229119 A CN109229119 A CN 109229119A
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Abstract
The invention discloses a kind of traction optimization methods suitable for tramcar, including, tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity are initialized；The curve of traction characteristics of tramcar is drawn according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity；The optimal curve of traction characteristics of tramcar is obtained after optimizing using constraint conditions such as starting acceleration constraint, residual acceleration constraint, torque capacity constraint, maximum power constraint and average acceleration constraints to curve of traction characteristics；Otherwise S3 is entered step.Technical solution of the present invention is for due to there is operation car clothing between EMU and tramcar, so as to cause EMU traction scheme to be directly applied on tramcar, there are many unconformable problems at present, a kind of algorithm of traction optimization has been specifically designed for tramcar, its constraint section for having rebuild tramcar, is optimized the traction of tramcar.
Description
Technical field
The invention belongs to track train pulling motion fields, and in particular to a kind of traction optimization side suitable for tramcar
Method.
Background technique
With the development of Urbanization in China, big or middle city in the adjustment industrial structure, expands urban area；Pass through
Metropolitan main center and sub-center area are developed, develops satellite etc. and plans that each city, big city are huge again
Spatial dimension and transport need improve it increasingly to the degree of dependence of traffic.Urban transportation has the positive transformation of service from matching
For the determinant for guiding Development of large city.Simultaneously as the constraint of the resource factors such as soil, the energy, Road Network Capacity, track is handed over
The logical developing direction for being known as urban transportation by countries in the world.It improves and maintains big city big city midtown function
Center it is powerful, guidance urban structure adjustment, alleviate traffic support etc. play an important role.Wherein, track
The traction computational problem of train is the premise of track train trouble-free operation, is related to weight, the fortune of urban railway transit train
The many aspects such as scanning frequency degree, braking distance and energy consumption.Current track train common are remote EMU either city
The tramcar etc. of city operation.
Currently, the vehicle pulling figure designing technique of EMU has more mature method, middle car owner is whole by setting
The conditions such as vehicle car weight, accelerating ability, climbing capacity are designed by the pulling figure that the partners such as Siemens, Ke Nuoer complete vehicle.
The traction control scheme of entire train is completed in the design for carrying out motor and current transformer again according to vehicle pulling figure.EMU and
The vehicle curve of traction characteristics of subway train is broadly divided into three sections: permanent torque area, invariable power area and drop power area.Tramcar
Characteristic design, then mainly continue to use the pulling figure design method of high-speed EMUs.Although tramcar and EMU all select three
Main drive of the phase Induction Machines as train, the profile both from curve of traction characteristics trend is also similar, but has
Still there is larger gap, the predominantly following in the pulling figure design method and EMU of rail electric car:
Firstly, EMU and the speed per hour of tramcar, traffic coverage differ greatly.EMU speed per hour is higher, traffic coverage
Also longer.The design speed per hour of tramcar is commonly 70km/h at this stage, and is influenced operation by traffic lights and station
Section is shorter, and universal traffic coverage is 1km~2km.Secondly, EMU and the starting speed of tramcar have differences.At a high speed
EMU starting loop is generally 0.4m/s2, and boost phase accounts for the specific gravity very little of entire section operation, therefore do not need too big
Starting loop and average acceleration.And tramcar traveling section is shorter, it is desirable that there is biggish starting loop and add
The average acceleration in fast stage promotes travelling speed to guarantee that train can reach fair speed within a short period of time, general to require
Starting loop is 1.1m/s2.Finally, the requirement to power of motor is also different.High-speed EMUs is accelerating to finish into permanent
After the fast stage, tractive force is nearly all used to overcome basic running resistance, needs motor to provide biggish power, therefore in design
The constant power area speed adjustable range of pulling figure is larger.The basic running resistance that tramcar needs to overcome in maximum speed compared with
Small, motor can meet service requirement with lower Power operation, therefore pulling figure fully considers the area Jiang Gong in high speed stage
To promote the utilization rate of motor.
All in all, the pulling figure of tramcar is different from the pulling figure of high-speed EMUs from multiple angles, therefore
Original design pulling figure method exists compared with big limitation.The pulling figure of tramcar also needs to consider all multi-constraint conditions, such as
The average acceleration of friction speed section, traction stick together constraint, the constraint of motor maximum design power, residual acceleration constraint etc., need
A kind of new method is wanted to carry out the design of vehicle pulling figure specifically for tramcar.
Summary of the invention
Aiming at the above defects or improvement requirements of the prior art, the present invention provides a kind of tractions suitable for tramcar
Optimization method at least can partially solve the above problems.Technical solution of the present invention is directed at present due to EMU and tramcar
Between exist operation car clothing so as to cause EMU traction scheme to be directly applied on tramcar, there are many unconformable
Problem has been specifically designed a kind of algorithm of traction optimization for tramcar, has rebuild the constraint section of tramcar,
The traction of tramcar is optimized.
To achieve the above object, according to one aspect of the present invention, it is excellent to provide a kind of traction suitable for tramcar
Change method, which is characterized in that including,
S1 carries out tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
Initialization；
S2 draws rail electricity according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
The curve of traction characteristics of vehicle；
S3 compares the average acceleration constraint that section is drawn in tramcar curve of traction characteristics and the average of the traction section adds
Velocity magnitude enters step S4 if being less than, otherwise enters step S6；
S4 compares corresponding to the drop power characteristic area's starting velocity and traction section average acceleration constraint of the traction section
Otherwise speed limit increases drop power characteristic area starting velocity and enters step S2 if more than S5 is then entered step；
S5 compares corresponding to the constant output characteristic area starting velocity and traction section average acceleration constraint of the traction section
Otherwise speed limit increases constant output characteristic area starting velocity and enters step S2 if more than S6 is then entered step；
S6 verifies whether power of the curve of traction characteristics in constant output characteristic area exceeds maximum power, if then increasing starting
Acceleration enters step S2, otherwise enters step S7；
Whether the residual acceleration of S7 verifying curve of traction characteristics is more than residual acceleration constraint, is added if otherwise reducing to start
Speed enters step S2, is, enters step S8；
S8 checks whether the average acceleration constraint that section is all drawn in tramcar pulling figure verifies, and is to tie
Beam Optimizing Flow obtains the optimal curve of traction characteristics of tramcar, obtains tramcar according to optimal curve of traction characteristics
Traction protocols；Otherwise S3 is entered step.
One as technical solution of the present invention is preferred, and in step S1, the starting acceleration is preferably smaller than maximum start
Acceleration, constant output characteristic area starting velocity are preferably the one third of track train maximum operational speed, the drop function
Rate characteristic area starting velocity is preferably 2/3rds of track train maximum operational speed.
One as technical solution of the present invention is preferred, in step S2, the initial curve of traction characteristics of the track train
Constraint condition preferably include starting acceleration constraint, residual acceleration constraint, torque capacity constraint, maximum power constraint peace
Equal acceleration constraint.
Preferably as one of technical solution of the present invention, there is no less than one section flat in tramcar curve of traction characteristics
Equal acceleration constraint, wherein the average acceleration of each velocity shooting needs while meeting corresponding average acceleration constraint.
One as technical solution of the present invention is preferred, in step S4, preferably in currently drop power characteristic area starting velocity
On the basis of increase a speed infinitesimal constitute new drop power characteristic area starting velocity, subsequently into step S2.
One as technical solution of the present invention is preferred, in step S5, preferably in current constant output characteristic area starting velocity
On the basis of increase a speed infinitesimal constitute new constant output characteristic area starting velocity, subsequently into step S2.
According to one aspect of the present invention, a kind of storage equipment is provided, wherein being stored with a plurality of instruction, described instruction is suitable
For being loaded by processor and being executed:
S1 carries out tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
Initialization；
S2 draws rail electricity according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
The curve of traction characteristics of vehicle；
S3 compares the average acceleration constraint that section is drawn in tramcar curve of traction characteristics and the average of the traction section adds
Velocity magnitude enters step S4 if being less than, otherwise enters step S6；
S4 compares corresponding to the drop power characteristic area's starting velocity and traction section average acceleration constraint of the traction section
Otherwise speed limit increases drop power characteristic area starting velocity and enters step S2 if more than S5 is then entered step；
S5 compares corresponding to the constant output characteristic area starting velocity and traction section average acceleration constraint of the traction section
Otherwise speed limit increases constant output characteristic area starting velocity and enters step S2 if more than S6 is then entered step；
S6 verifies whether power of the curve of traction characteristics in constant output characteristic area exceeds maximum power, if then increasing starting
Acceleration enters step S2, otherwise enters step S7；
Whether the residual acceleration of S7 verifying curve of traction characteristics is more than residual acceleration constraint, is added if otherwise reducing to start
Speed enters step S2, is, enters step S8；
S8 checks whether the average acceleration constraint that section is all drawn in tramcar pulling figure verifies, and is to tie
Beam Optimizing Flow obtains the optimal curve of traction characteristics of tramcar；Otherwise S3 is entered step.
According to one aspect of the present invention, a kind of terminal, including processor are provided, each instruction is adapted for carrying out；And it deposits
Equipment is stored up, is suitable for storing a plurality of instruction, described instruction is suitable for being loaded and being executed by processor:
S1 carries out tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
Initialization；
S2 draws rail electricity according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
The curve of traction characteristics of vehicle；
S3 compares the average acceleration constraint that section is drawn in tramcar curve of traction characteristics and the average of the traction section adds
Velocity magnitude enters step S4 if being less than, otherwise enters step S6；
S4 compares corresponding to the drop power characteristic area's starting velocity and traction section average acceleration constraint of the traction section
Otherwise speed limit increases drop power characteristic area starting velocity and enters step S2 if more than S5 is then entered step；
S5 compares corresponding to the constant output characteristic area starting velocity and traction section average acceleration constraint of the traction section
Otherwise speed limit increases constant output characteristic area starting velocity and enters step S2 if more than S6 is then entered step；
S6 verifies whether power of the curve of traction characteristics in constant output characteristic area exceeds maximum power, if then increasing starting
Acceleration enters step S2, otherwise enters step S7；
Whether the residual acceleration of S7 verifying curve of traction characteristics is more than residual acceleration constraint, is added if otherwise reducing to start
Speed enters step S2, is, enters step S8；
S8 checks whether the average acceleration constraint that section is all drawn in tramcar pulling figure verifies, and is to tie
Beam Optimizing Flow obtains the optimal curve of traction characteristics of tramcar；Otherwise S3 is entered step.
In general, through the invention it is contemplated above technical scheme is compared with the prior art, have below beneficial to effect
Fruit:
1) technical solution of the present invention utilizes starting acceleration, constant output characteristic according to the actual motion feature of tramcar
Area's starting velocity and drop power characteristic area starting velocity draw the initial curve of traction characteristics of tramcar, add then in conjunction with starting
Constraint of velocity, residual acceleration constraint, torque capacity constraint, maximum power constraint and average acceleration constraint are special to initial traction
Linearity curve optimizes, final to obtain the best curve of traction characteristics for meeting whole constraint conditions, leads compared to existing train
Draw for scheme, there is better adaptability on tramcar.
2) technical solution of the present invention calculates the average acceleration of each velocity shooting with right after initializing first to data
Constant output characteristic area starting velocity and drop power characteristic area starting velocity are adjusted, and have paid the utmost attention to two speed turning points
Influence of the parameter size for the curve of traction characteristics of tramcar, is then again adjusted tramcar starting acceleration,
The reasonable consideration weight of multiple influence factors of tramcar curve of traction characteristics, makes it more be bonded rail electric car traction side
The operation demand of case.
3) technical solution of the present invention is adjusted to constant output characteristic area starting velocity and drop power characteristic area starting velocity
When whole, every time on the basis of current constant output characteristic area starting velocity and drop power characteristic area starting velocity as unit of infinitesimal
It is adjusted, then checks whether it meets constraint condition in the way of loop iteration, so that constant output characteristic area starting speed
The adjusted result of degree and drop power characteristic area starting velocity is more accurate, is more nearly optimal tramcar traction protocols and sets
Meter.
Detailed description of the invention
Fig. 1 is tramcar longitudinal stress analysis chart in the embodiment of technical solution of the present invention；
Fig. 2 is tramcar curve of traction characteristics range schematic diagram in the embodiment of technical solution of the present invention；
Fig. 3 is tramcar pulling figure calculation process in the embodiment of technical solution of the present invention；
Fig. 4 is tramcar pulling figure design result curve in the embodiment of technical solution of the present invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.As long as in addition, technical characteristic involved in the various embodiments of the present invention described below
Not constituting a conflict with each other can be combined with each other.The present invention is described in more detail With reference to embodiment.
In general, tramcar longitudinal stress model can be divided into simple substance point and more Mass Models.Technical solution of the present invention
Embodiment in, it is contemplated that tramcar marshalling is shorter, and it is simpler to occupy slope condition, with vehicle is research pair when force analysis
As, therefore choose longitudinal stress model of the simple substance point model as tramcar.
In the present embodiment, tramcar vehicle longitudinal stress is as shown in Figure 1.Train is pulled power on traffic direction
Ft, brake force B and resistance W.Since tractive force and brake force cannot exist simultaneously, therefore train is only considered when designing pulling figure
Tractive force and resistance.The curve of traction characteristics of tramcar designs the constraint by all many conditions, and the acceleration with train is special
Property, the capacity etc. of motor it is related, the constraint condition considered in the present embodiment has starting acceleration constraint, residual acceleration about
Beam, maximum thrust constraint, maximum power constraint, average acceleration constraint etc..These types of constraint condition is carried out below specific
It introduces:
1) starting acceleration constrains.The value of the starting acceleration of train (including tramcar and EMU etc.) needs to limit
In a certain range, excessive starting acceleration influences the comfort that passenger rides, general to require in straight rail profile situation
Under, the starting acceleration of medium-and low-speed maglev train must not exceed 1.3m/s2.In the present embodiment, the calculation formula of starting acceleration
Are as follows:
In formula (1), astIndicate starting acceleration, unit m/s2；F (0) indicates tractive force when speed is 0, unit N；W
(0, x) indicate train mileage x at speed be 0 when drag overall, unit N；M indicates train weight, units/kg.The present embodiment
In, during train operation, starting stage acceleration is maximum, therefore the acceleration of train shall not in entire velocity interval
More than the starting acceleration of train.
2) residual acceleration constrains.The meaning of residual acceleration is for train in straight rail profile in maximum speed
When the amount of acceleration still possessed, generally require tramcar residual acceleration to cannot be less than 0.01m/s2.In the present embodiment, remain
The calculation formula of remaining acceleration are as follows:
In formula (2), alastIndicate residual acceleration, unit m/s2；F(vmax) indicate maximum speed when tractive force, unit
N；W(vmax, x) and indicate drag overall of the train at mileage x when maximum speed, unit N.In the present embodiment, residual acceleration is deposited
It cannot be less than a certain value in the maximum power for requiring train, otherwise will likely result in high regime tractive force deficiency, to can not send out
Wave the hauling ability of train.
3) average acceleration constrains.Average acceleration refer to train from 0 to certain speed range in acceleration average value,
The accelerating ability for characterizing train, it is different from the average acceleration in a period of time.In the present embodiment, average acceleration is calculated
Formula are as follows:
In formula (3), aavgIndicate average acceleration, unit m/s2；vtIndicate end speed, unit m/s；T expression is accelerated to from 0
Time used in vt, unit s.The constraint of multistage average acceleration is had when being typically designed pulling figure, the average of multiple velocity shootings adds
Constraint of velocity will meet simultaneously, and each section of average acceleration will be constrained close to the average acceleration of target as far as possible.In the present embodiment,
N sections of average acceleration constraints are equipped with when designing pulling figure, n is natural number.
4) torque capacity constrains: the torque capacity of tramcar is determined that train can play most by the characteristic of traction electric machine
Large traction is primarily present in low-speed stage.
5) maximum power constrains: the maximum power of tramcar is determined by the quantity of traction electric machine, volume, construction and characteristic
It is fixed, the main maximum drawbar pull that influences train and can be played in high speed stage.
Above 5 kinds constrain the scope of design that can determine tramcar pulling figure, as shown in Figure 2.Wherein a-quadrant is only
There can be permanent tractive force (or class perseverance tractive force) curve, value and maximum thrust of the pulling figure when speed is 0 constrain and most
Big starting acceleration is related, takes small determine by the two.B area indicates invariable power area and drops the feasible model where power area curve
It encloses, only permanent traction force curve, which enters after B area, can just switch to invariable power area or drop power area, PmaxIndicate maximum allowable function
Rate, PminIndicate the anti-minimum allowable power pushed away of residual acceleration.
Furthermore, it is understood that since torque capacity constraint and maximum power constraint depend primarily on electricity used in tramcar
Machine, therefore the intrinsic parameter of tramcar can be considered as.And starting acceleration constraint, residual acceleration constraint and average acceleration
Constraint can be changed and adjust according to the operating status of tramcar, that is, carry out traction adjusting to tramcar, because
Emphasis considers that tramcar is led in starting acceleration constraint, residual acceleration constraint and average acceleration constraint in this present embodiment
Draw the influence of conceptual design.
Specifically, it in the present embodiment, is constrained, most using starting acceleration constraint, residual acceleration constraint, torque capacity
The step of constraint conditions such as high-power constraint and average acceleration constraint are designed the pulling figure of tramcar is as follows:
Step 1: parameter initialization.Starting acceleration a is initialized firstst, constant output characteristic area starting velocity vt1With drop function
Rate characteristic area starting velocity vt2.In the present embodiment, the selection of starting acceleration is greater than the average acceleration of First Speed section
aavg1And it is less than maximum starting acceleration, constant output characteristic area starting velocity vt1The 1/3 of tramcar maximum speed is taken, power is dropped
Characteristic area starting velocity vt2The 2/3 of maximum speed is taken, enters step 2.According to specific traction design requirement, can be fitted
Answering property adjusts.
Step 2: according to starting acceleration ast, constant output characteristic area starting velocity vt1With drop power characteristic area starting velocity
vt2, calculate the curve of traction characteristics of tramcar.
Step 3: the average acceleration constraint of i-th of velocity shooting (i=1,2 ..., n) of verifying, if this section of average acceleration
Less than aavgi, go to step 4；IfMore than or equal to aavgi, go to step 6.
Step 4: judging vt2Whether this section of average acceleration a is greater thanavgnCorresponding speed limitIf vt2It is less than or equal toEnable vt2=vt2+ Δ v, goes to step 2；If vt2It is greater thanGo to step 5.I.e. in currently drop power characteristic area starting velocity
On the basis of increase a speed infinitesimal constitute new drop power characteristic area starting velocity, subsequently into step 2 to tramcar
Curve of traction characteristics is updated.
Step 5: judging vt1Whether this section of average acceleration a is greater thanavgnCorresponding speed limitIf vt1It is less than or equal toEnable vt1=vt1+ Δ v, goes to step 2；If vt1It is greater thanGo to step 6.I.e. in current constant output characteristic area starting velocity
On the basis of increase a speed infinitesimal constitute new constant output characteristic area starting velocity, subsequently into step 2 to tramcar
Curve of traction characteristics is updated.
Step 6: whether the power P in verifying invariable power area is more than PmaxIf P is less than or equal to Pmax, go to step 7；If P is big
In Pmax, then illustrate that starting acceleration is too small, need to readjust starting acceleration ast, subsequently into step 2 to tramcar
Curve of traction characteristics is updated.
Step 7: verifying residual acceleration atResidual acceleration when whether being more than maximum speed constrains alastIf atIt is greater than
Or it is equal to alast, go to Step 10；If atLess than alast, then illustrate that starting acceleration is excessive, need to readjust starting and accelerate
Spend ast, it is updated subsequently into curve of traction characteristics of the step 2 to tramcar.
Step 10: enabling i=i+1, if i is less than or equal to n, go to Step 3；If i is greater than n, terminate to calculate, and
It draws to obtain the optimal curve of traction characteristics of tramcar using the constraint condition by optimization.
In above-mentioned calculating process, step 1 realizes the initialization of data, and step 2 is the calculating of i-th section of average acceleration,
Step 3 is the adjustment to permanent function starting point spot speed in dropping function, and step 4 and step 5 are to maximum power and residual acceleration
Verifying, step 6 and step 7 are the adjustment to starting acceleration.Therefore when designing curve of traction characteristics, two speed turning points
For the parameter preferentially adjusted, starting acceleration is the parameter finally adjusted, and the flow chart of entire algorithm is as shown in Figure 3.
Below with reference to the whole-car parameters and pulling figure constraint condition of certain urban tram to train seating capacity load-up condition
Under pulling figure be designed, and this method is described in detail by this example.
The major parameter and constraint condition of tramcar are as follows:
1) train seating capacity gross weight 72.964t；Maximum operational speed is 70km/h；Vehicle maximum traction power is 825kW；Base
This running resistance formula is
2) starting loop constrains: ast≤1.2m/s2；Residual acceleration constraint: alast>0.1m/s2。
3) average acceleration constrains: 0~20km/h average acceleration is not less than 1.15m/s2, 0~40km/h average acceleration
Degree is not less than 1.1m/s2, 0~60km/h average acceleration is not less than 0.85m/s2, 0~70km/h average acceleration is not less than
0.65m/s2。
According to above-mentioned design conditions, parameter initialization is carried out to train first, in accordance with the step 1 of the method for the present invention, if starting
Acceleration is ast=1.2m/s2, constant output characteristic area starting velocity vt123km/h is taken, power characteristic area starting velocity v is droppedt2It takes
46km/h。
Calculate curve of traction characteristics according still further to step 2 to step 10, and to maximum power, residual acceleration and it is average plus
Speed is iterated verifying, passes through mobile constant output characteristic area starting velocity vt1With drop power characteristic area starting velocity vt2Value
To guarantee that each constraint condition meets.
Show that curve of traction characteristics is as shown in Figure 4 by iterative calculation.The curve of traction characteristics of design starts traction
Power is 87.627kN, and constant output characteristic area starting velocity is 26km/h, and it is 50km/h that drop power characteristic, which takes starting velocity, starts and adds
Speed is 1.2m/s2, residual acceleration 0.254m/s2, 0~20km/h average acceleration is 1.2m/s2, 0~40km/h is average
Acceleration is 1.108m/s2, 0~60km/h average acceleration is 0.85m/s2, 0~70km/h average acceleration is 0.71m/s2。
Above-mentioned design result meets all pulling figure constraint conditions, for existing train traction scheme, in rail electricity
There is better adaptability on vehicle.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to
The limitation present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should all include
Within protection scope of the present invention.
Claims (8)
1. a kind of traction optimization method suitable for tramcar, which is characterized in that including,
S1 carries out tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity initial
Change；
S2 draws tramcar according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
Curve of traction characteristics；
S3 compares the average acceleration that the average acceleration constraint and the traction section of section are drawn in tramcar curve of traction characteristics
Size enters step S4 if being less than, otherwise enters step S6；
S4 compares drop power characteristic area's starting velocity of the traction section and the speed that traction section average acceleration constraint is corresponding
Otherwise the upper limit increases drop power characteristic area starting velocity and enters step S2 if more than S5 is then entered step；
S5 compares the constant output characteristic area starting velocity of the traction section and the speed that traction section average acceleration constraint is corresponding
Otherwise the upper limit increases constant output characteristic area starting velocity and enters step S2 if more than S6 is then entered step；
S6 verifies whether power of the curve of traction characteristics in constant output characteristic area exceeds maximum power, accelerates if then increasing starting
Degree enters step S2, otherwise enters step S7；
Whether the residual acceleration of S7 verifying curve of traction characteristics is more than residual acceleration constraint, if otherwise reducing starting acceleration
S2 is entered step, is, enters step S8；
S8 check tramcar pulling figure in all draw section average acceleration constraint whether verify, be terminate it is excellent
Change process, obtain the optimal curve of traction characteristics of tramcar, the traction of tramcar is obtained according to optimal curve of traction characteristics
Scheme draws tramcar；Otherwise S3 is entered step.
2. a kind of traction optimization method suitable for tramcar according to claim 1, wherein described in step S1
Starting acceleration is preferably smaller than maximum starting acceleration, and constant output characteristic area starting velocity is preferably track train maximum fortune
The one third of scanning frequency degree, it is described drop power characteristic area starting velocity be preferably track train maximum operational speed three/
Two.
3. a kind of traction optimization method suitable for tramcar according to claim 1 or 2, wherein in step S2, institute
The constraint condition for stating the initial curve of traction characteristics of track train preferably includes starting acceleration constraint, residual acceleration constrains,
Torque capacity constraint, maximum power constraint and average acceleration constraint.
4. described in any item a kind of traction optimization methods suitable for tramcar according to claim 1~3, wherein described
There is no less than one section of average acceleration constraint, wherein the average acceleration of each velocity shooting in tramcar curve of traction characteristics
Degree needs while meeting corresponding average acceleration constraint.
5. a kind of traction optimization method suitable for tramcar according to any one of claims 1 to 4, wherein step
In S4, preferably increases a speed infinitesimal on the basis of currently drop power characteristic area starting velocity and constitute new drop power characteristic
Area's starting velocity, subsequently into step S2.
6. described in any item a kind of traction optimization methods suitable for tramcar according to claim 1~5, wherein step
In S5, preferably increases a speed infinitesimal on the basis of current constant output characteristic area starting velocity and constitute new constant output characteristic
Area's starting velocity, subsequently into step S2.
7. a kind of storage equipment, wherein being stored with a plurality of instruction, described instruction is suitable for being loaded and being executed by processor:
S1 carries out tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity initial
Change；
S2 draws tramcar according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
Curve of traction characteristics；
S3 compares the average acceleration that the average acceleration constraint and the traction section of section are drawn in tramcar curve of traction characteristics
Size enters step S4 if being less than, otherwise enters step S6；
S4 compares drop power characteristic area's starting velocity of the traction section and the speed that traction section average acceleration constraint is corresponding
Otherwise the upper limit increases drop power characteristic area starting velocity and enters step S2 if more than S5 is then entered step；
S5 compares the constant output characteristic area starting velocity of the traction section and the speed that traction section average acceleration constraint is corresponding
Otherwise the upper limit increases constant output characteristic area starting velocity and enters step S2 if more than S6 is then entered step；
S6 verifies whether power of the curve of traction characteristics in constant output characteristic area exceeds maximum power, accelerates if then increasing starting
Degree enters step S2, otherwise enters step S7；
Whether the residual acceleration of S7 verifying curve of traction characteristics is more than residual acceleration constraint, if otherwise reducing starting acceleration
S2 is entered step, is, enters step S8；
S8 check tramcar pulling figure in all draw section average acceleration constraint whether verify, be terminate it is excellent
Change process, obtains the optimal curve of traction characteristics of tramcar；Otherwise S3 is entered step.
8. a kind of terminal, including processor are adapted for carrying out each instruction；And storage equipment, it is suitable for storing a plurality of instruction, the finger
It enables and is suitable for being loaded and being executed by processor:
S1 carries out tramcar starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity initial
Change；
S2 draws tramcar according to starting acceleration, constant output characteristic area starting velocity and drop power characteristic area starting velocity
Curve of traction characteristics；
S3 compares the average acceleration that the average acceleration constraint and the traction section of section are drawn in tramcar curve of traction characteristics
Size enters step S4 if being less than, otherwise enters step S6；
S4 compares drop power characteristic area's starting velocity of the traction section and the speed that traction section average acceleration constraint is corresponding
Otherwise the upper limit increases drop power characteristic area starting velocity and enters step S2 if more than S5 is then entered step；
S5 compares the constant output characteristic area starting velocity of the traction section and the speed that traction section average acceleration constraint is corresponding
Otherwise the upper limit increases constant output characteristic area starting velocity and enters step S2 if more than S6 is then entered step；
S6 verifies whether power of the curve of traction characteristics in constant output characteristic area exceeds maximum power, accelerates if then increasing starting
Degree enters step S2, otherwise enters step S7；
Whether the residual acceleration of S7 verifying curve of traction characteristics is more than residual acceleration constraint, if otherwise reducing starting acceleration
S2 is entered step, is, enters step S8；
S8 check tramcar pulling figure in all draw section average acceleration constraint whether verify, be terminate it is excellent
Change process, obtains the optimal curve of traction characteristics of tramcar；Otherwise S3 is entered step.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810990957.3A CN109229119B (en) | 2018-08-28 | 2018-08-28 | A kind of traction optimization method suitable for tramcar |
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| CN110549868A (en) * | 2019-09-05 | 2019-12-10 | 西南交通大学 | Hybrid power tramcar speed adjusting method based on real-time power of power system |
| CN111762235A (en) * | 2020-05-29 | 2020-10-13 | 中车青岛四方机车车辆股份有限公司 | Train speed control method and system |
| CN113449436A (en) * | 2021-07-22 | 2021-09-28 | 中铁二院工程集团有限责任公司 | Method for acquiring locomotive traction characteristic curve in complex operation environment |
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