CN107515537A - A kind of train bicycle energy-saving operating method based on modified force search method - Google Patents

A kind of train bicycle energy-saving operating method based on modified force search method Download PDF

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CN107515537A
CN107515537A CN201710718982.1A CN201710718982A CN107515537A CN 107515537 A CN107515537 A CN 107515537A CN 201710718982 A CN201710718982 A CN 201710718982A CN 107515537 A CN107515537 A CN 107515537A
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train
speed
energy
saving
energy consumption
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曹康
邢宗义
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Nanjing University of Science and Technology
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Nanjing University of Science and Technology
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B17/00Systems involving the use of models or simulators of said systems
    • G05B17/02Systems involving the use of models or simulators of said systems electric

Abstract

The invention discloses a kind of train bicycle energy-saving operating method based on modified force search method.This method step is as follows:Train operation track data and Train Parameters are set first, establish energy consumption in train journey computation model;Using train traction energy consumption and section hourage as optimization aim, the energy saving optimizing model of train operation is established;Object function and constraints are handled by goal constraint method, multi-objective problem is converted into single-objective problem;Then constraints is handled, is reduced to solving hunting zone, the single-objective problem after conversion is handled by force search method;According to the train interval hourage of setting and zone distance, train operation strategy that is punctual and most saving is selected, and obtain corresponding rate curve and energy consumption curve.The present invention is effectively improved the precision of train timing energy-saving optimization, and optimal speed is fast, reduces train energy consumption.

Description

A kind of train bicycle energy-saving operating method based on modified force search method
Technical field
The invention belongs to Train Operation Control Technology field, particularly a kind of train list based on modified force search method Car energy-saving operating method.
Background technology
With the acceleration of urbanization process, city dweller's size of population quickly increases, and the go off daily demand of people is progressively As the important component in city.Substantial amounts of private car, bus pour in city, exacerbate the crowded and city of road Air pollution, multiple traffic accident even directly threaten the personal safety of resident.Subway is handed over as a kind of new city Logical carrier, have the advantages that carrying capacity is big, be not take up urban surface space, be punctual efficient and green, by each big city Welcome, development it is extremely rapid.
Energy-saving train operation control is the Optimal Control Problem of a typical multiple target multiple constraint, it is difficult to establish accurate Mathematical modeling describes train travelling process.Traditional mathematical method, such as Numerical Analytic Method, the theory of optimal control, it is difficult to obtain The accurate solution of model is got, the approximate solution of model can only be also tried to achieve even if using alternative manner, and is easily trapped into local optimum Situation.
The content of the invention
It is an object of the invention to provide a kind of optimal speed is fast, precision is high, energy consumption is low based on modified force search The train bicycle energy-saving operating method of method.
Realizing the technical solution of the object of the invention is:A kind of train bicycle energy-conservation based on modified force search method Operation method, comprise the following steps:
Step 1, track data, the Train Parameters of train operation are set;
Step 2, energy consumption in train journey computation model is built;
Step 3, using train traction energy consumption and section hourage as optimization aim, the energy saving optimizing mould of train operation is established Type, and the Optimized model is solved using modified force search method, obtain the non-dominant disaggregation of one group of train operation strategy;
Step 4, optimum operating condition turnover dot matrix is selected, and extracts speed, time, energy consumption, position corresponding to the driving discourse on politics Data are moved, draw timing energy-saving speed-optimization curve and energy consumption curve.
Further, the track data described in step 1 includes ramp start-stop kilometer post and the corresponding gradient, curved section start-stop public affairs In mark and corresponding curvature, speed limit section start-stop kilometer post and corresponding speed limit, the Train Parameters include organizational systems, the length of train Degree, load level, Davis's equation coefficient, peak acceleration, maximal rate, curve of traction characteristics and braking characteristic curve.
Further, energy consumption in train journey computation model is built described in step 2, wherein train operation operating mode includes:Lead Draw, cruise, four kinds of operating modes of inertia and braking, the operating mode turning point includes starting point, starts cruise point, beginning coast point, beginning Braking point and stop.
Further, train operation is established using train traction energy consumption and section hourage as optimization aim described in step 3 Energy saving optimizing model, and solve the Optimized model using modified force search method, obtain the non-of one group of train operation strategy Disaggregation is dominated, it is specific as follows:
(3.1) in train bicycle saves multi-objective problem, object function only has three:Energy total flow fE, fixed point Target of stopping fs, time punctual fT, constraints is including speed limit, train acceleration and deceleration, it is necessary to which the composition of obtained solution includes three: The turning point S of traction working condition and at the uniform velocity operating modea-v, at the uniform velocity operating mode and coasting operating mode turning point Sv-c, coasting operating mode with braking work The turning point S of conditionc-b;Wherein, Sc-bS need to be passed througha-v、Sv-cIt is calculated, using the goal constraint method in numerical algorithm, by three F in object functionEIt is changed into object function, by fs、fTIt is converted into constraints;
(3.2) solution of object function is Sa-v、Sv-c、Sc-bThe ordered sequence formed, sorts according to numerical values recited, has:
0 < Sa-v≤Sv-c≤Sc-b< SnTo Sa-vNumber range be further processed:Due to train must be drawn to it is flat Equal travelling speedMore than, therefore, Average Travel Speed is not reached also in trainBefore, be not in state turning point Sa-v;Similarly, in train traction accelerator, the limitation V of the speed of service of train not over circuitline;WithAs Kilometer post during Average Travel Speed is reached, with SV_line(a)The kilometer post for the arrival highest running speed estimated during as traction, Then:
In braking procedure, Sc-bSolution value scope reduced:In train travelling process, have to the speed of coasting lazy Speed limit under speed limit and coasting on row, before speed limit under reaching coasting, train must begin to take on brake measure or continue to lead Draw acceleration;Speed limit is with V under the coasting of traincdownRepresent, train obtains in speed being V by braking ExtrapolationcdownWhen public affairs In be designated as SV_cdown;Train braking is anti-when pushing away, highest running speed v of the initial retro-speed not over circuitm, train leads to Cross the anti-kilometer shifted onto up to circuit limitation speed of braking and be designated as Sv_line(b);So Sc-bSolution scope be:
Sv_line(b)< Sc-b< Scdown
(3.3) to S in the span that step (3.2) is givena-v、Sv-c、Sc-bValued combinations are carried out, bring step into (3.1) in single-goal function, optimal solution value is asked for.
Compared with prior art, its remarkable advantage is the present invention:(1) modified force search method is not concerned with problem in itself, But it is absorbed in the Mathematical of model, based on modified force search method, multiple target is converted into single goal and optimized, no Easily it is absorbed in locally optimal solution;(2) modified force search method searches for all solution spaces and path, algorithm small scale, logic are clear It is clear, reduce the iteration time of heuritic approach;(3) directly will likely solution substitute into object function calculate, can intuitively open up Show the result of object function, be effectively improved the precision of train timing energy-saving optimization, and optimal speed is fast, reduces train energy Consumption.
Brief description of the drawings
Fig. 1 is the train bicycle energy-saving operating method flow chart based on modified force search method in the present invention.
Fig. 2 is optimal train bicycle energy-saving run speed-mileage curve map in the present invention.
Fig. 3 is optimal train bicycle energy-saving run speed-time curve figure in the present invention.
Fig. 4 is optimal train bicycle energy-saving run energy consumption curve figure in the present invention.
Embodiment
Train bicycle energy-saving operating method of the invention based on modified force search method, sets train operation circuit first Data and Train Parameters, establish energy consumption in train journey computation model;Using train traction energy consumption and section hourage as optimization mesh Mark, establish the energy saving optimizing model of train operation;Object function and constraints are handled by goal constraint method, will be more Target problem is converted into single-objective problem;Then constraints is handled, is reduced to solving hunting zone, passes through force search Single-objective problem after method processing conversion;According to the train interval hourage of setting and zone distance, selection is punctual and most saves The train operation strategy of energy, and obtain corresponding rate curve and energy consumption curve.
With reference to Fig. 1, the train bicycle energy-saving operating method of the invention based on modified force search method, including following step Suddenly:
Step 1, the track data and Train Parameters of train operation are set.Track data includes ramp start-stop kilometer post and right The gradient, curved section start-stop kilometer post and corresponding curvature, speed limit section start-stop kilometer post and corresponding speed limit, the Train Parameters are answered to include The organizational systems of train, length, load level, Davis's equation coefficient, peak acceleration, maximal rate, curve of traction characteristics With braking characteristic curve.
Step 2, energy consumption in train journey computation model is built.Train operation operating mode includes:Traction, cruise, inertia and braking Four kinds of operating modes, operating mode turning point include starting point, start cruise point, beginning coast point, beginning braking point and stop.
Step 3, using train traction energy consumption and section hourage as optimization aim, the timing energy-saving for establishing train operation is excellent Change model, and the Optimized model is solved using modified force search method, obtain the non-dominant disaggregation of one group of train operation strategy; Step 3 further comprises following steps:
Step 3.1, train bicycle save multi-objective problem in, object function only has three:Energy total flow fE, it is fixed Point parking target fs, time punctual fT, constraints is mainly speed limit, train acceleration and deceleration etc., it is necessary to which the composition of obtained solution only has Three:The turning point S of traction working condition and at the uniform velocity operating modea-v, at the uniform velocity operating mode and coasting operating mode turning point Sv-c, coasting operating mode with system The turning point S for condition of starting buildingc-b.Wherein, Sc-bS need to be passed througha-v、Sv-cIt is calculated., will using the goal constraint method in numerical algorithm F in three object functionsEIt is changed into object function, by fs、fTIt is converted into constraints.
Step 3.2, the solution of object function are Sa-v、Sv-c, Sc-bThe ordered sequence formed, sorts according to numerical values recited, Have:
0 < Sa-v≤Sv-c≤Sc-b< SnTo Sa-vNumber range be further processed.Due to train must be drawn to it is flat Equal travelling speedMore than, therefore, Average Travel Speed is not reached also in trainBefore, be not in state turning point Sa-v.Similarly, in train traction accelerator, the limitation V of the speed of service of train not over circuitline.WithAs Kilometer post during Average Travel Speed is reached, with SV_line(a)The kilometer post for the arrival highest running speed estimated during as traction, Then:
In braking procedure, Sc-bSolution value scope can be reduced.In train travelling process, to the speed of coasting Have in coasting that speed limit, train operation do not allow the behavior that coasting is carried out with extremely low speed occur under speed limit and coasting.Reach coasting Before lower speed limit, train, which must begin to take on brake measure or continue traction, to be accelerated.Speed limit is with V under the coasting of traincdownTable Show, train obtains in speed being V by braking ExtrapolationcdownWhen kilometer be designated as SV_cdown.Train braking is anti-when pushing away, initially Retro-speed can not possibly exceed circuit highest running speed vm, train by brake it is counter shift onto up to circuit limitation speed public affairs In be designated as Sv_line(b).So Sc-bSolution scope be:
Sv_line(b)< Sc-b< Scdown
Step 3.3, using 0.1s as simulated program stepped intervals, to S in the span that step 3.2 is givena-v、Sv-c, Sc-bValued combinations are carried out, brings into the single-goal function of step 3.1, asks for optimal solution value.
Step 4, optimum operating condition turnover dot matrix is selected, and extracts speed, time, energy consumption, position corresponding to the driving discourse on politics Data are moved, draw timing energy-saving speed-optimization curve and energy consumption curve.
Embodiment 1
Bicycle energy saving optimizing simulation study is carried out with Beijing Yi Zhuang line real data.Beijing Yi Zhuang line is big by Traffic In Beijing And Beijing Jiao Kong companies independent research design-build, total length 23.3km, ground circuit and 8.7km of the main track including 13.8km Subterranean tunnel circuit.Completely set 8 ground bus loading zones and 6 underground stations.
Yi Zhuang Xian Zhongrong capital East Street is chosen between the block of Wanyuan, two station distance between sites 1280m, run time 98s, by Rong Jing East Street toward Wanyuan street be circuit up direction.Gradient is as shown in table 1 between circuit, the speed limit condition such as institute of table 2 between circuit Show.
The Rong Jing East Streets of table 1 to Wanyuan street gradient parameter
The Rong Jing East Streets of table 2 to Wanyuan street speed limit condition
The train running resistance of Yi Zhuang line is:
W=(16.18+0.2422v) Wm+(7.65+0.0275v)Wt+(0.275+0.0765(n-1))v2
Wherein, WmFor motor-car quality, WtFor trailer quality, v is train speed, and n is train marshalling list number.
Beijing Yi Zhuang alignment car is three dynamic three to drag form, under train net weight 194.295t, AW2 situation, gross train weight 284.055t highest running speed 80km/h.
Simulated line data and Train Parameters are brought into emulation, time stepping passes through modified violence at intervals of 0.1s Search method solves to the section.Train Rong Jing East Streets to Wanyuan street all fronts v-s curves as shown in Fig. 2 v-t curves such as Shown in Fig. 3, p-s curves are as shown in Figure 4.
The Rong Jing East Streets of table 3 to Wanyuan street state turning point
Rong Jing East Streets to Wanyuan street state turning point is as shown in table 3, the section run time of Rong Jing East Streets to Wanyuan street and It is as shown in table 4 to run maximum speed.
The Rong Jing East Streets of table 4 are to Wanyuan street operational objective

Claims (4)

1. a kind of train bicycle energy-saving operating method based on modified force search method, it is characterised in that comprise the following steps:
Step 1, track data, the Train Parameters of train operation are set;
Step 2, energy consumption in train journey computation model is built;
Step 3, using train traction energy consumption and section hourage as optimization aim, the energy saving optimizing model of train operation is established, And the Optimized model is solved using modified force search method, obtain the non-dominant disaggregation of one group of train operation strategy;
Step 4, optimum operating condition turnover dot matrix is selected, and extracts speed, time, energy consumption, displacement number corresponding to the driving discourse on politics According to drafting timing energy-saving speed-optimization curve and energy consumption curve.
2. the train bicycle energy-saving operating method according to claim 1 based on modified force search method, its feature exist In the track data described in step 1 includes the ramp start-stop kilometer post and corresponding gradient, curved section start-stop kilometer post and corresponding song Rate, speed limit section start-stop kilometer post and corresponding speed limit, the Train Parameters include the organizational systems of train, length, load level, worn Tie up this equation coefficient, peak acceleration, maximal rate, curve of traction characteristics and braking characteristic curve.
3. the train bicycle energy-saving operating method according to claim 1 based on modified force search method, its feature exist In structure energy consumption in train journey computation model, wherein train operation operating mode include described in step 2:Traction, cruise, inertia and Four kinds of operating modes are braked, the operating mode turning point includes starting point, starts cruise point, beginning coast point, beginning braking point and stop.
4. the train bicycle energy-saving operating method according to claim 1 based on modified force search method, its feature exist In using train traction energy consumption and section hourage as optimization aim described in step 3, establishing the energy saving optimizing mould of train operation Type, and the Optimized model is solved using modified force search method, the non-dominant disaggregation of one group of train operation strategy is obtained, specifically It is as follows:
(3.1) in train bicycle saves multi-objective problem, object function only has three:Energy total flow fE, stopping a train at a target point mesh Mark fs, time punctual fT, constraints is including speed limit, train acceleration and deceleration, it is necessary to which the composition of obtained solution includes three:Draw work The turning point S of condition and at the uniform velocity operating modea-v, at the uniform velocity operating mode and coasting operating mode turning point Sv-c, coasting operating mode and damped condition turn Break Sc-b;Wherein, Sc-bS need to be passed througha-v、Sv-cIt is calculated, using the goal constraint method in numerical algorithm, by three target letters F in numberEIt is changed into object function, by fs、fTIt is converted into constraints;
(3.2) solution of object function is Sa-v、Sv-c、Sc-bThe ordered sequence formed, sorts according to numerical values recited, has:
0 < Sa-v≤Sv-c≤Sc-b< SnTo Sa-vNumber range be further processed:Because train must be drawn to average travelling SpeedMore than, therefore, Average Travel Speed is not reached also in trainBefore, be not in state turning point Sa-v;Together Reason, in train traction accelerator, the limitation V of the speed of service of train not over circuitline;WithIt is flat as reaching Kilometer post during equal travelling speed, with SV_line(a)The kilometer post for the arrival highest running speed estimated during as traction, then:
<mrow> <msub> <mi>S</mi> <mrow> <mover> <mi>v</mi> <mo>&amp;OverBar;</mo> </mover> <mo>_</mo> <mi>min</mi> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>S</mi> <mrow> <mi>a</mi> <mo>-</mo> <mi>v</mi> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>S</mi> <mrow> <mi>V</mi> <mo>_</mo> <mi>l</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> <mrow> <mo>(</mo> <mi>a</mi> <mo>)</mo> </mrow> </mrow> </msub> </mrow>
In braking procedure, Sc-bSolution value scope reduced:In train travelling process, have to the speed of coasting in coasting Speed limit under speed limit and coasting, before speed limit under reaching coasting, train, which must begin to take on brake measure or continue traction, to be added Speed;Speed limit is with V under the coasting of traincdownRepresent, train obtains in speed being V by braking ExtrapolationcdownWhen kilometer post For SV_cdown;Train braking is anti-when pushing away, highest running speed v of the initial retro-speed not over circuitm, train passes through system The dynamic anti-kilometer shifted onto up to circuit limitation speed is designated as Sv_line(b);So Sc-bSolution scope be:
Sv_line(b)< Sc-b< Scdown
(3.3) to S in the span that step (3.2) is givena-v、Sv-c、Sc-bValued combinations are carried out, bring step (3.1) into In single-goal function, optimal solution value is asked for.
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CN109858154A (en) * 2019-01-31 2019-06-07 广州地铁设计研究院股份有限公司 A kind of energy-saving train operation method based on multiple-objection optimization
CN110188401A (en) * 2019-05-07 2019-08-30 南京理工大学 A kind of tramcar operation energy consumption optimization method based on improvement PSO
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CN110155089A (en) * 2019-05-28 2019-08-23 北京交通大学 A kind of municipal rail train kinetic parameters automatic adjusting method
CN112149231A (en) * 2020-09-28 2020-12-29 同济大学 Energy-saving operation curve planning system of high-speed magnetic levitation traction system
CN112380605A (en) * 2020-11-16 2021-02-19 广州地铁设计研究院股份有限公司 Method and device for optimizing subway longitudinal section design and energy-saving operation scheme
CN112380605B (en) * 2020-11-16 2024-04-19 广州地铁设计研究院股份有限公司 Subway longitudinal section design and energy-saving operation scheme optimization method and device
CN113221317A (en) * 2021-03-25 2021-08-06 中车株洲电力机车研究所有限公司 Method, system, medium and equipment for optimizing all-line energy-saving operation curve of urban rail train
CN113306604A (en) * 2021-05-26 2021-08-27 西南交通大学 Energy storage design method for train-mounted energy storage equipment
CN113306604B (en) * 2021-05-26 2022-01-04 西南交通大学 Energy storage design method for train-mounted energy storage equipment
CN113987930A (en) * 2021-10-25 2022-01-28 南京理工大学 Optimization method of urban rail regenerative braking energy inversion feedback system
CN113987930B (en) * 2021-10-25 2022-05-17 南京理工大学 Optimization method of urban rail regenerative braking energy inversion feedback system

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Application publication date: 20171226