CN106055852B - A kind of operation of subway train and tractive power supply system coupling Simulation modeling method - Google Patents

A kind of operation of subway train and tractive power supply system coupling Simulation modeling method Download PDF

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CN106055852B
CN106055852B CN201610580924.2A CN201610580924A CN106055852B CN 106055852 B CN106055852 B CN 106055852B CN 201610580924 A CN201610580924 A CN 201610580924A CN 106055852 B CN106055852 B CN 106055852B
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train
power supply
supply system
node
traction
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CN106055852A (en
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李跃宗
黄成周
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CHENGDU YUANDA TECHNOLOGY Co Ltd
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CHENGDU YUANDA TECHNOLOGY Co Ltd
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods

Abstract

The invention discloses a kind of operations of subway train and tractive power supply system coupling Simulation modeling method, comprising: vehicle-net coupling Simulation computation model of electric power supply system for subway is constructed based on each force device property parameters of equivalent quasi-ization of coupled relation between train traction power supply system and train traction transmission system;The direction of energy value of train traction power supply system is calculated according to the vehicle of electric power supply system for subway-net coupling Simulation computation model;The departure interval is adjusted according to the direction of energy value and route map of train of train traction power supply system to be suitable for that different operating condition trains are run on time on schedule.Emulation modelling method provided by the invention, it is that analog equivalent is carried out to force device in tractive power supply system based on the coupled relation between tractive power supply system and train traction transmission system, the coupled relation between train and Traction networks can be more accurately described, more vehicle operation vehicle nets on the actual track of subway scene is accurately and efficiently described and is electrically coupled phenomenon in real time.

Description

A kind of operation of subway train and tractive power supply system coupling Simulation modeling method
Technical field
The present invention relates to imitation technology fields, and in particular to a kind of operation of subway train is coupled with tractive power supply system Emulation modelling method.
Background technique
Tractive power supply system is basic energy resource facility mostly important in City Rail Transit System, and function is for track Electric vehicle power supply in traffic system, it is ensured that the normal operation of rail transit train vehicle.Currently, the metro traction in China supplies Electric system mostly uses DC750V or DC1500V two-side feeding mode, and domestic and foreign scholars supply for the metro traction of this power supply mode Electric system modeling of DC link method and its associate power trend value calculating method have carried out a large amount of further investigation, wherein use compared with More tractive power supply system models have loop current model and node voltage model.Loop current model be only suitable for by contact net, The single system of rail and return wire composition, for calculating the voltage and current of contact net and rail and along the longitudinal direction of contact net Distribution;Node voltage model is suitable for having randomly topologically structured Traction networks, and to the Traction networks under other power supply systems It is also suitable, application is relatively broad.
In the prior art, train is considered as power source load and is based on 12 pulse wave rectifier unit models by related scholar, in conjunction with MTLs model building is suitable for the Traction networks of different structure and power supply mode, but does not illustrate train in under-voltage operating condition comprehensively Under practical tractive force size and vehicle-pessimistic concurrency control is not considered as entirety, have ignored vehicle net and coupled in real time to train net voltage fluctuation Influence, simulation result accuracy is high.
Summary of the invention
To be solved by this invention is using existing subway traction power supply analogue system train equivalent model simulation calculation As a result the not high problem of accuracy.
The present invention is achieved through the following technical solutions:
A kind of operation of subway train and tractive power supply system coupling Simulation modeling method, comprising: powered based on train traction Each force device property parameters of equivalent quasi-ization of coupled relation between system and train traction transmission system are to construct subway power supply The vehicle of system-net coupling Simulation computation model;Train is calculated according to the vehicle of electric power supply system for subway-net coupling Simulation computation model to lead Draw the direction of energy value of power supply system;Between being dispatched a car according to the adjustment of the direction of energy value and route map of train of train traction power supply system Every to be suitable for that different operating condition trains are run on time on schedule.
Emulation modelling method provided by the invention is based on the coupling between tractive power supply system and train traction transmission system Relationship carries out analog equivalent to force device in tractive power supply system, in conjunction with the pulling figure and vehicle net of train traction transmission system Relationship constructs vehicle-net coupling Simulation computation model of electric power supply system for subway, calculates each node voltage of tractive power supply system, branch Electric current, Traction networks network pressure and current on line side etc..Compared with prior art, the present invention can be described more accurately between train and Traction networks Coupled relation, accurately and efficiently describe more vehicles operation vehicle nets on the actual track of subway scene and be electrically coupled phenomenon in real time, to traction The layout of power supply system Capacity design and timetable has certain directive function.
Further, based on equivalent quasi-ization of coupled relation between train traction power supply system and train traction transmission system Each force device property parameters include: with the vehicle-net coupling Simulation computation model for constructing electric power supply system for subway
Conductor rail, DC feeder and bus are considered as homogeneous resistance and are equivalent to resistance and is connected with conducting wire, will be led Draw electric substation and be equivalent to that DC voltage source is in series with a resistor, the power source that train is considered as consumption active electrical degree and idle electric degree is born Lotus;
It is constructed and is powered according to force device property parameters each after train traction power supply system topology diagram and equivalent quasi-ization System physical model, and two rail transmission lines in power supply system physical model are equivalent to one section of electric power containing internal resistance Line;
It is numbered and constructs node admittance matrix to train and train position, number order is from left to right followed successively by power transformation Institute's feed node, electric substation's reflux node, train take stream node, train reflux node;
Nodal admittance equation U=Y is created according to node initializing parameter-1I, wherein I is node Injection Current, and U is node Voltage, Y are node admittance matrix.
Further, the direction of energy value of train traction power supply system is calculated using the nodal method of analysis.
Further, train traction power supply system is calculated according to the vehicle of electric power supply system for subway-net coupling Simulation computation model Direction of energy value include:
Whether be for the first time calculate, calculate if first time, setting Rectification Power Factor work area is first if judging that this is calculated Otherwise operation interval redefines the working characteristics of Rectification Power Factor;
According to It=P/UtCalculate train node Injection Current, wherein ItFor train node Injection Current, P is branch function Rate, UtFor node injecting voltage;
Calculate node Injection Current;
Judge whether Rectification Power Factor load current meets the requirements, if Rectification Power Factor load current is unsatisfactory for requiring, again really Determine the working characteristics of Rectification Power Factor, otherwise calculates each node voltage;
Judge whether train voltage restrains, if train voltage does not restrain the working characteristics for redefining Rectification Power Factor, otherwise Calculate train operation tractive force, Associated brake power, datum drag and various additional drags.
Further, more particle traction computation models are constructedWith Calculate train operation tractive force, Associated brake power, datum drag and various additional drags, wherein v is train running speed, t For Train Schedule, s is train operation distance, Ft(v) maximum drawbar pull when be train running speed being v, BbIt (v) is column Maximum braking force when the vehicle speed of service is v, ω0It (v) is train operation Unit basic resistance, utFor traction level and ut∈[0, 1], ubFor braking level and ub∈ [0,1], ωjIt (x) is unit route additional drag, M is train weight, and g is earth surface Acceleration of gravity.
Further, the departure interval is adjusted with suitable according to the direction of energy value and route map of train of train traction power supply system Preferably operation includes: difference operating condition train on schedule on time
Traction electric machine permanent torque operation side is established according to the relationship between train voltage on line side, tractive force and current on line side Journey Uu×Iu× t × μ=Ft(v) × v × t, wherein μ is energy conversion efficiency, UuFor train voltage on line side, IuFor train net side Electric current;
According to Uj×Ij=Ui×IiIt obtainsValue, and according toValue adjust train running speed and its corresponding work Condition, wherein UjFor j node voltage, IjFor j node current, UiFor i-node voltage, IiFor i-node electric current.
Compared with prior art, the present invention having the following advantages and benefits:
Subway train operation provided by the invention and tractive power supply system coupling Simulation modeling method, train is embedded into and is led Draw in power supply network building vehicle-net coupling model, calculate each node voltage of tractive power supply system, branch current, Traction networks network pressure with Current on line side etc..The present invention can more accurately describe the coupled relation between train and Traction networks, and it is existing accurately and efficiently to describe subway More vehicles operation vehicle nets are electrically coupled phenomenon in real time on the actual track of field, have to the layout of tractive power supply system Capacity design and timetable There is certain directive function.
Detailed description of the invention
Attached drawing described herein is used to provide to further understand the embodiment of the present invention, constitutes one of the application Point, do not constitute the restriction to the embodiment of the present invention.In the accompanying drawings:
Fig. 1 is that the subway train operation of the embodiment of the present invention and the process of tractive power supply system coupling Simulation modeling method are shown It is intended to;
Fig. 2 is the structural schematic diagram of the bilateral tractive power supply system of subway of the embodiment of the present invention;
Fig. 3 is the metro traction power system physical model schematic diagram of the embodiment of the present invention;
Fig. 4 is the metro traction net topology structural schematic diagram of the embodiment of the present invention;
Fig. 5 is the flow diagram for the direction of energy value that the embodiment of the present invention calculates train traction power supply system;
Fig. 6 is the subway train operation curve and ATO control vehicle schematic illustration of the embodiment of the present invention;
Fig. 7 is the voltage on line side and distance Curve schematic diagram of the embodiment of the present invention;
Fig. 8 is the speed and distance Curve schematic diagram of the embodiment of the present invention;
Fig. 9 is the traction/regenerative braking force and distance Curve schematic diagram of the embodiment of the present invention.
Specific embodiment
To make the objectives, technical solutions, and advantages of the present invention clearer, below with reference to embodiment and attached drawing, to this Invention is described in further detail, and exemplary embodiment of the invention and its explanation for explaining only the invention, are not made For limitation of the invention.
Embodiment
Fig. 1 is that the subway train operation of the embodiment of the present invention and the process of tractive power supply system coupling Simulation modeling method are shown It is intended to, the subway train operation and tractive power supply system coupling Simulation modeling method include step S1~step S3.
Step S1, it is each based on equivalent quasi-ization of coupled relation between train traction power supply system and train traction transmission system Force device property parameters are to construct vehicle-net coupling Simulation computation model of electric power supply system for subway.
Conductor rail, DC feeder and bus are considered as homogeneous resistance and are equivalent to resistance and is connected with conducting wire, will be led Draw electric substation and be equivalent to that DC voltage source is in series with a resistor, the power source that train is considered as consumption active electrical degree and idle electric degree is born Lotus.Specifically, according to metro traction power system composed structure and the abstract middle buckling electricity of Railway Site operation actual scene simulation It is bilateral to draw subway as shown in Figure 2 for institute, traction substation, Rectification Power Factor, return wire, feeder line, Traction networks, rail, train etc. The structural schematic diagram of power supply system, according to transmission line theory and associate power component attributes parameter and functional characteristic in Fig. 2 Force device carries out physical characteristic quasi-ization.
It is constructed and is powered according to force device property parameters each after train traction power supply system topology diagram and equivalent quasi-ization System physical model, and two rail transmission lines in power supply system physical model are equivalent to one section of electric power containing internal resistance Line.The power supply system physical model of building is as shown in figure 3, be equivalent to one section of power line containing internal resistance for two rail transmission lines Afterwards, metro traction net topology structure is as shown in Figure 4.
It is numbered and constructs node admittance matrix to train and train position, number order is from left to right followed successively by power transformation Institute's feed node, electric substation's reflux node, train take stream node, train reflux node.Assuming that system has N number of node, then node Admittance matrix indicates are as follows:
To the general Y of each element in matrixpqIt indicates, as p=q, YpqFor the self-admittance of node p, indicate and p-th The sum of the admittance of the associated all branches of node.As p ≠ q, YpqAs the transadmittance between node p and node q, connection is indicated Meet the negative of admittance between p-th of node and q-th of node, and Ypq=Yqp, wherein when node p and node q is without being directly linked, Ypq=Yqp=0.
Nodal admittance equation U=Y is created according to node initializing parameter-1I, wherein I is node Injection Current, and U is node Voltage, Y are node admittance matrix.After the completion of Nodal admittance equation creation, the electric power tide of train traction power supply system can be calculated Flow valuve.
Step S2 calculates train traction power supply system according to the vehicle of electric power supply system for subway-net coupling Simulation computation model Direction of energy value.In the present embodiment, the direction of energy value of train traction power supply system is calculated using the nodal method of analysis.Fig. 5 is The embodiment of the present invention calculates the flow diagram of the direction of energy value of train traction power supply system, the calculating train traction power supply The direction of energy value of system includes:
Whether be for the first time calculate, calculate if first time, setting Rectification Power Factor work area is first if judging that this is calculated Otherwise operation interval redefines the working characteristics of Rectification Power Factor;According to It=P/UtCalculate train node Injection Current, wherein ItIt is branch power, U for train node Injection CurrenttFor node injecting voltage;Calculate node Injection Current, injects according to node Electric current can calculate Rectification Power Factor load current;Judge whether Rectification Power Factor load current meets the requirements, if P Rectification Power Factor load electricity Stream is unsatisfactory for requiring, and redefines the working characteristics of Rectification Power Factor, otherwise calculates each node voltage;Judge whether train voltage is received It holds back, if train voltage does not restrain the working characteristics for redefining Rectification Power Factor, otherwise calculates train operation tractive force, Associated brake Power, datum drag and various additional drags.
Further, if determining that the working characteristics of Rectification Power Factor includes: that certain Rectification Power Factor load current is less than work at present The corresponding load current range in section, then it is previous operation interval that the Rectification Power Factor operation interval, which is arranged,;If certain Rectification Power Factor Load current is greater than the corresponding load current range in work at present section, then it is latter work that the Rectification Power Factor operation interval, which is arranged, Section.Judge whether train voltage restrains and refers to that judge whether calculated each train node voltage size has met given The calculation formula of convergence precision ε, ε are as follows:
Wherein, r is r column train,After r column train kth time iteration, the Traction networks network pressure of train position Value.
In the present embodiment, more particle traction computation models are constructedWith Calculate train operation tractive force, Associated brake power, datum drag and various additional drags, wherein v is train running speed, t For Train Schedule, s is train operation distance, Ft(v) maximum drawbar pull when be train running speed being v, BbIt (v) is column Maximum braking force when the vehicle speed of service is v, ω0It (v) is train operation Unit basic resistance, utFor traction level and ut∈[0, 1], ubFor braking level and ub∈ [0,1], ωjIt (x) is unit route additional drag, M is train weight, and g is earth surface Acceleration of gravity.
Step S3 adjusts the departure interval according to the direction of energy value and route map of train of train traction power supply system to be suitable for Different operating condition trains are run on schedule on time.Specifically, according between train voltage on line side, tractive force and current on line side Relationship establishes traction electric machine permanent torque operation equation Uu×Iu× t × μ=Ft(v) × v × t, wherein μ is energy conversion efficiency, UuFor train voltage on line side, IuFor train current on line side;According to Uj×Ij=Ui×IiIt obtainsValue, and according toValue tune Save train running speed and its corresponding operating condition, wherein UjFor j node voltage, IjFor j node current, UiFor i-node voltage, Ii For i-node electric current.According to a plurality of offline optimal curve dynamic adjustment subway preset in traction direction of energy value, tractive force and ATO Train operation, operation curve and ATO control vehicle principle are as shown in Figure 6.As known to those skilled in the art how according to traction electric power tide Preset a plurality of offline optimal curve dynamic adjustment subway train operation in flow valuve, tractive force and ATO, details are not described herein.
The effect of technical solution in order to better illustrate the present invention, inventor have carried out number according to the method provided by the invention Simulating, verifying.Since the data run between train station are more, the data of three traffic coverages of interception are compared analysis, right It is calculated in these three sections using coupling than train and song is not run using the speed-distance for couple subway train under calculated case Line, train voltage on line side-distance Curve and train traction/regenerative braking force-distance Curve.
Fig. 7 is the voltage on line side and distance Curve schematic diagram of the embodiment of the present invention.As shown in Figure 7, use coupling calculate with Afterwards, fluctuation range when train voltage on line side fluctuation range using coupling than not calculated is small.The reason is that consider coupling calculate with Afterwards, voltage on line side affects the performance of power of traction motor.Under regenerative braking operating condition, it is assumed that network pressure level is drawing always change In electric institute's allowed band, the raising of network pressure is not much different, but in traction working condition, and the reduction of network pressure leads to train traction characteristic Forward, power decline, to reduce the reduction amount of network pressure.
Fig. 8 is the speed and distance Curve schematic diagram of the embodiment of the present invention.As shown in Figure 8, after being calculated using coupling, column When vehicle is in traction working condition, network pressure is lower than the specified network pressure of traction drive, and pulling figure perseverance function point has the case where migration.Cause This, in high speed, the tractive force under identical speed will be lower than level when normal network pressure, and the highest running speed of train is intended to compare It decreases under normal network pressure.
Fig. 9 is the traction/regenerative braking force and distance Curve schematic diagram of the embodiment of the present invention.As shown in Figure 9, using coupling It after calculating, is equally influenced by network pressure reduction, when train is in traction working condition, the tractive force under identical speed will be lower than normal Level when network pressure, and it is then essentially identical in regenerative braking.
Above-described specific embodiment has carried out further the purpose of the present invention, technical scheme and beneficial effects It is described in detail, it should be understood that being not intended to limit the present invention the foregoing is merely a specific embodiment of the invention Protection scope, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should all include Within protection scope of the present invention.

Claims (5)

1. a kind of subway train operation and tractive power supply system coupling Simulation modeling method characterized by comprising
Based on each force device category of equivalent quasi-ization of coupled relation between train traction power supply system and train traction transmission system Property parameter is to construct vehicle-net coupling Simulation computation model of electric power supply system for subway;
The direction of energy value of train traction power supply system is calculated according to the vehicle of electric power supply system for subway-net coupling Simulation computation model;
The departure interval is adjusted according to the direction of energy value and route map of train of train traction power supply system to be suitable for different operation works Condition train is run on schedule on time;It is equivalent quasi- based on the coupled relation between train traction power supply system and train traction transmission system Change each force device property parameters to construct the vehicle of electric power supply system for subway-net coupling Simulation computation model and include:
Conductor rail, DC feeder and bus are considered as homogeneous resistance and are equivalent to resistance and is connected with conducting wire, traction is become The be equivalent to DC voltage source of electricity is in series with a resistor, and train is considered as to the power source load of consumption active electrical degree and idle electric degree;
Power supply system is constructed according to force device property parameters each after train traction power supply system topology diagram and equivalent quasi-ization Physical model, and two rail transmission lines in power supply system physical model are equivalent to one section of power line containing internal resistance;
It is numbered and constructs node admittance matrix to train and train position, number order is from left to right followed successively by electric substation's feedback Electrical nodes, electric substation's reflux node, train take stream node, train reflux node;
Nodal admittance equation U=Y is created according to node initializing parameter-1I, wherein I is node Injection Current, and U is node electricity Pressure, Y is node admittance matrix.
2. a kind of subway train operation according to claim 1 and tractive power supply system coupling Simulation modeling method, special Sign is, the direction of energy value of train traction power supply system is calculated using the nodal method of analysis.
3. a kind of subway train operation according to claim 2 and tractive power supply system coupling Simulation modeling method, special Sign is, the direction of energy of train traction power supply system is calculated according to the vehicle of electric power supply system for subway-net coupling Simulation computation model Value includes:
Whether be for the first time calculate, calculate if first time, setting Rectification Power Factor work area is first job if judging that this is calculated Otherwise section redefines the working characteristics of Rectification Power Factor;
According to It=P/UtCalculate train node Injection Current, wherein ItFor train node Injection Current, P is branch power, UtFor Node injecting voltage;
Calculate node Injection Current;
Judge whether Rectification Power Factor load current meets the requirements, if Rectification Power Factor load current is unsatisfactory for requiring, redefines whole The working characteristics for flowing unit, otherwise calculates each node voltage;
Judge whether train voltage restrains, if train voltage does not restrain the working characteristics for redefining Rectification Power Factor, otherwise calculates Train operation tractive force, Associated brake power, datum drag and various additional drags.
4. a kind of subway train operation according to claim 3 and tractive power supply system coupling Simulation modeling method, special Sign is, constructs more particle traction computation modelsWithCalculate train Run tractive force, Associated brake power, datum drag and various additional drags, wherein v is train running speed, and t is train fortune Row time, s are train operation distance, Ft(v) maximum drawbar pull when be train running speed being v, BbIt (v) is train operation speed Maximum braking force when degree is v, ω0It (v) is train operation Unit basic resistance, utFor traction level and ut∈ [0,1], ubFor Brake level and ub∈ [0,1], ωjIt (x) is unit route additional drag, M is train weight, and g is that the gravity of earth surface accelerates Degree.
5. a kind of subway train operation according to claim 4 and tractive power supply system coupling Simulation modeling method, special Sign is, adjusts the departure interval according to the direction of energy value and route map of train of train traction power supply system to be suitable for different operations Operation includes: operating condition train on schedule on time
Traction electric machine permanent torque operation equation U is established according to the relationship between train voltage on line side, tractive force and current on line sideu ×Iu× t × μ=Ft(v) × v × t, wherein μ is energy conversion efficiency, UuFor train voltage on line side, IuFor train net side electricity Stream;
According to Uj×Ij=Ui×IiIt obtainsValue, and according toValue adjust train running speed and its corresponding operating condition, In, UjFor j node voltage, IjFor j node current, UiFor i-node voltage, IiFor i-node electric current.
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