CN103661434B - A kind of operation control method for train - Google Patents

A kind of operation control method for train Download PDF

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CN103661434B
CN103661434B CN201310744119.5A CN201310744119A CN103661434B CN 103661434 B CN103661434 B CN 103661434B CN 201310744119 A CN201310744119 A CN 201310744119A CN 103661434 B CN103661434 B CN 103661434B
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train
braking
time
energy
resistance properties
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CN103661434A (en
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刘建强
郑琼林
游小杰
林飞
魏远乐
邵天骢
王竟飞
刘绍凯
宋强
赵治博
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Beijing Jiaotong University
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Beijing Jiaotong University
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Abstract

The invention provides a kind of operation control method for train, comprising: the relation drawing train energy loss and highest running speed according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties; According to the relation of train energy loss and highest running speed, draw highest running speed when train energy loss is minimum; Speed when drawing according to described highest running speed the time of traveling at the uniform speed and start maximum braking; According to described highest running speed, described in travel at the uniform speed time, described beginning maximum braking time speed draw energy-saving train run curve; According to the train operation of described energy-saving train operation curve controlled.By a kind of operation control method for train that the embodiment of the present invention provides, train operation curve when train energy consumes minimum can be obtained according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties, the energy-saving train run curve obtained is more accurate, and the energy-saving efficiency of train operation is higher.

Description

A kind of operation control method for train
Technical field
The present invention relates to Train Control field, particularly relate to a kind of energy-saving train operation control method.
Background technology
The research data of lot of domestic and foreign shows, the most energy-conservation Controlling principle of train operation is maximum traction, travel at the uniform speed, coasting and maximum braking four operating conditions compositions.In order to can energy-saving train operation be realized, need to draw out train operation curve, and control the operation of train according to train operation curve.In maximum traction, travel at the uniform speed, under coasting and maximum braking four operating conditions, as long as determine each train change working point, just can determine train operation curve.And to determine that each change-over point will determine highest running speed, the process time that travels at the uniform speed, speed when starting maximum braking
In prior art, determine that the method for change working point is mainly through heuritic approach: set a highest running speed, speed when extrapolating the time of run under each corresponding operating mode according to the driving experience of this highest running speed and driver and start maximum braking, and judge whether the parameters drawn meets the requirement of total range ability and total run time, if do not met, reset new highest running speed, carry out identical process, until find one group of data can meet the requirement of total range ability and total run time, each change working point is determined according to these group data.
Visible by foregoing description, method of the prior art determines change working point by cyclic test and train driving experience, and the train operation curve according to drawing controls train operation, and energy-saving efficiency is lower.
Summary of the invention
The invention provides a kind of operation control method for train, higher energy-saving efficiency can be reached.
The invention provides a kind of operation control method for train, comprising:
The relation of train energy loss and highest running speed is drawn according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties;
According to the relation of train energy loss and highest running speed, draw energy-conservation highest running speed when train energy loss is minimum;
Speed when drawing according to described energy-conservation highest running speed the time of traveling at the uniform speed and start maximum braking;
According to described energy-conservation highest running speed, described in travel at the uniform speed time, described beginning maximum braking time speed draw energy-saving train run curve;
Train operation is controlled according to described energy-saving train run curve.
Further, the described tractive characteristic according to train, the braking characteristics of train, aerodynamic resistance properties draw the relation of train energy loss and highest running speed, comprising:
Show that traction is made a concerted effort acceleration/accel, running under power distance, running under power time and haulage capacity loss according to the tractive characteristic of train, aerodynamic resistance properties;
Show that braking is made a concerted effort acceleration/accel, running under braking distance, running under braking time and braking regenerated energy according to the braking characteristics of train, aerodynamic resistance properties;
Show that coasting is made a concerted effort acceleration/accel, coasting range ability, coasting time of run according to aerodynamic resistance properties;
According to the first relation, the second relation, the 3rd relation, draw the relation of train energy loss and highest running speed;
Described first to close be running under power distance, running under braking distance, coasting range ability, traveling at the uniform speed equals total range ability apart from sum;
Described second to close be the running under power time, running under braking time, coasting time of run, the time sum of traveling at the uniform speed equal total run time;
Described 3rd to close be haulage capacity loss and at the uniform velocity waste of power sum, deducts braking regenerated energy and equal train energy loss.
Further, the described tractive characteristic according to train, aerodynamic resistance properties show that traction is made a concerted effort acceleration/accel, running under power distance, running under power time, comprising:
Show that traction acceleration/accel of making a concerted effort is φ according to the tractive characteristic of train, aerodynamic resistance properties 1(v)=a 1v 2+ b 1v+c 1;
Show that step traction time of run is according to drawing acceleration/accel of making a concerted effort: step traction range ability is: x 1 ( v z 1 , v 1 ) = ∫ v z 1 v 1 v a 1 v 2 + b 1 v + c 1 dv ;
All step traction time of ruies are added and draw the running under power time;
All step traction range abilities are added and draw running under power distance;
Wherein, φ 1v () is traction acceleration/accel with joint efforts, a 1, b 1, c 1for constant, a 1, b 1, c 1determine according to the tractive characteristic of train, aerodynamic resistance properties, t 1(v z1, v 1) for train running speed is at v z1and v 1between time the running under power time, x 1(v z1, v 1) train running speed is at v z1and v 1between time running under power distance.
Further, the described braking characteristics according to train, aerodynamic resistance properties show that braking is made a concerted effort acceleration/accel, running under braking distance, running under braking time, comprising:
Show that braking acceleration/accel of making a concerted effort is according to the braking characteristics of train, aerodynamic resistance properties
φ 2(v)=a 2v 2+b 2v+c 2
Show that segmentation braking time of run is according to drawing acceleration/accel of making a concerted effort: segmentation braking range ability is: x 2 ( v z 2 , v 2 ) = ∫ v z 2 v 2 v a 2 v 2 + b 2 v + c 2 dv ;
All segmentation braking time of ruies are added and draw the running under braking time;
All segmentation braking range abilities are added and draw running under braking distance;
Wherein, φ 2v () is braking acceleration/accel with joint efforts, a 2, b 2, c 2for constant, a 2, b 2, c 2determine according to the braking characteristics of train, aerodynamic resistance properties, t 2(v z2, v 2) for train running speed is at v z2and v 2between time the running under braking time, x 2(v z2, v 2) train running speed is at v z2and v 2between time running under braking distance.
Further, describedly show that coasting is made a concerted effort acceleration/accel, coasting range ability, coasting time of run according to aerodynamic resistance properties, comprising:
Show that coasting acceleration/accel of making a concerted effort is according to aerodynamic resistance properties:
φ 3(v)=a 3v 2+b 3v+c 3
Show that coasting time of run is according to coasting acceleration/accel of making a concerted effort: coasting range ability is: s 3 = ∫ v a 3 v 2 + b 3 v + c 3 dv ;
Wherein, φ 3v () to be made a concerted effort acceleration/accel for coasting, a 3, b 3, c 3for constant, a 3, b 3, c 3determine according to aerodynamic resistance properties, t 3coasting time of run, s 3it is coasting range ability.
Further, step traction waste of power draws according to following formula:
E 1 ( v z 1 , v 1 ) = ∫ v z 1 v 1 f 1 ( v ) · v a 1 v 2 + b 1 v + c 1 dv ,
All step traction wastes of power are added and draw described haulage capacity loss;
Wherein, f 1(v)=a 11v 2+ b 11v+c 11, f 1v () is the tractive force under maximum traction working condition, a 11, b 11, c 11, a 1, b 1, c 1for constant, a 11, b 11, c 11, a 1, b 1, c 1determined by the tractive characteristic of train, aerodynamic resistance properties, E 1(v z1, v 1) for train running speed is at v z1and v 1between time haulage capacity consumption.
Further, segmentation braking regenerated energy draws according to following formula:
E 2 ( v z 2 , v 2 ) = μ ∫ v z 2 v 2 f 2 ( v ) · v a 2 v 2 + b 2 v + c 2 dv ,
All segmentation braking regenerated energies are added and draw described braking regenerated energy;
Wherein, f 2(v)=a 22v 2+ b 22v+c 22, f 2v () is the braking force under maximum damped condition, when μ is train braking, the energy back that electric braking force acting produces to the efficiency of electrical network, a 22, b 22, c 22, a 2, b 2, c 2for constant, a 22, b 22, c 22, a 2, b 2, c 2determined by the braking characteristics of train, aerodynamic resistance properties, E 2(v z2, v 2) for train running speed is at v z2and v 2between time braking regenerated energy.
Further, when train does not have braking energy feedback function, during described train braking, the energy back that electric braking force acting produces is 0 to the value of the efficiency of electrical network.
Further, the tractive characteristic of described train, the braking characteristics of train, aerodynamic resistance properties can both be represented by the quadratic function of segmentation.
By a kind of operation control method for train provided by the invention, train operation curve when train energy consumes minimum can be obtained according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties, do not need in this method to determine parameter by driving experience, the energy-saving train run curve obtained is more accurate, and the energy-saving efficiency of train operation is higher.
Accompanying drawing explanation
In order to be illustrated more clearly in the embodiment of the present invention or technical scheme of the prior art, be briefly described to the accompanying drawing used required in embodiment or description of the prior art below, apparently, accompanying drawing in the following describes is some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.
Fig. 1 is a kind of energy-saving train operation control method diagram of circuit that the embodiment of the present invention provides.
Detailed description of the invention
For making the object of the embodiment of the present invention, technical scheme and advantage clearly; below in conjunction with the accompanying drawing in the embodiment of the present invention; technical scheme in the embodiment of the present invention is clearly and completely described; obviously; described embodiment is the present invention's part embodiment, instead of whole embodiments, based on the embodiment in the present invention; the every other embodiment that those of ordinary skill in the art obtain under the prerequisite not making creative work, all belongs to the scope of protection of the invention.
Embodiments provide a kind of energy-saving train operation control method, see Fig. 1, specifically comprise:
Step 101: the relation drawing train energy loss and highest running speed according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties;
Step 102: according to the relation of train energy loss and highest running speed, draw energy-conservation highest running speed when train energy loss is minimum;
Step 103: speed when drawing according to energy-conservation highest running speed the time of traveling at the uniform speed and start maximum braking;
Step 104: according to energy-conservation highest running speed, the time that travels at the uniform speed, start maximum braking time speed draw energy-saving train run curve;
Step 105: control train operation according to energy-saving train run curve.
By a kind of operation control method for train that the embodiment of the present invention provides, train operation curve when train energy consumes minimum can be obtained according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties, do not need in this method to determine parameter by driving experience, the energy-saving train run curve obtained is more accurate, and the energy-saving efficiency of train operation is higher.
Alternatively, step 101 specifically comprises:
Show that traction is made a concerted effort acceleration/accel, running under power distance, running under power time and haulage capacity loss according to the tractive characteristic of train, aerodynamic resistance properties;
Show that braking is made a concerted effort acceleration/accel, running under braking distance, running under braking time and braking regenerated energy according to the braking characteristics of train, aerodynamic resistance properties;
Show that coasting is made a concerted effort acceleration/accel, coasting range ability, coasting time of run according to aerodynamic resistance properties;
According to the first relation, the second relation, the 3rd relation, draw the relation of train energy loss and highest running speed;
Wherein, first to close be running under power distance, running under braking distance, coasting range ability, traveling at the uniform speed equals total range ability apart from sum;
Second to close be the running under power time, running under braking time, coasting time of run, the time sum of traveling at the uniform speed equal total run time;
3rd to close be haulage capacity loss and at the uniform velocity waste of power sum, deducts braking regenerated energy and equal train energy loss.
Alternatively, show that traction acceleration/accel of making a concerted effort is φ according to the tractive characteristic of train, aerodynamic resistance properties 1(v)=a 1v 2+ b 1v+c 1;
Show that step traction time of run is according to drawing acceleration/accel of making a concerted effort: step traction range ability is: x 1 ( v z 1 , v 1 ) = ∫ v z 1 v 1 v a 1 v 2 + b 1 v + c 1 dv ;
All step traction time of ruies are added and draw running under power time t 1;
All step traction range abilities are added and draw running under power distance s 1;
Wherein, φ 1v () is traction acceleration/accel with joint efforts, a 1, b 1, c 1for constant, a 1, b 1, c 1determine according to the tractive characteristic of train, aerodynamic resistance properties, t 1(v z1, v 1) for train running speed is at v z1and v 1between time the running under power time, x 1(v z1, v 1) train running speed is at v z1and v 1between time running under power distance, t 1for the running under power time, s 1for running under power distance.
Show that braking acceleration/accel of making a concerted effort is according to the braking characteristics of train, aerodynamic resistance properties
φ 2(v)=a 2v 2+b 2v+c 2
Show that segmentation braking time of run is according to drawing acceleration/accel of making a concerted effort: segmentation braking range ability is: x 2 ( v z 2 , v 2 ) = ∫ v z 2 v 2 v a 2 v 2 + b 2 v + c 2 dv ;
All segmentation braking time of ruies are added and draw running under braking time t 2;
All segmentation braking range abilities are added and draw running under braking distance s 2;
Wherein, φ 2v () is braking acceleration/accel with joint efforts, a 2, b 2, c 2for constant, a 2, b 2, c 2determine according to the braking characteristics of train, aerodynamic resistance properties, t 2(v z2, v 2) for train running speed is at v z2and v 2between time the running under braking time, x 2(v z2, v 2) train running speed is at v z2and v 2between time running under braking distance, t 2for the running under braking time, s 2for running under braking distance.
Show that coasting acceleration/accel of making a concerted effort is according to aerodynamic resistance properties:
φ 3(v)=a 3v 2+b 3v+c 3
Show that coasting time of run is according to coasting acceleration/accel of making a concerted effort: coasting range ability is: s 3 = ∫ v a 3 v 2 + b 3 v + c 3 dv ;
Wherein, φ 3v () to be made a concerted effort acceleration/accel for coasting, a 3, b 3, c 3for constant, a 3, b 3, c 3determine according to aerodynamic resistance properties, t 3coasting time of run, s 3it is coasting range ability.
Step traction waste of power draws according to following formula:
E 1 ( v z 1 , v 1 ) = ∫ v z 1 v 1 f 1 ( v ) · v a 1 v 2 + b 1 v + c 1 dv ,
All step traction wastes of power are added and draw haulage capacity loss E 1;
Wherein, f 1(v)=a 11v 2+ b 11v+c 11, f 1v () is the tractive force under maximum traction working condition, a 11, b 11, c 11, a 1, b 1, c 1for constant, a 11, b 11, c 11, a 1, b 1, c 1determined by the tractive characteristic of train, aerodynamic resistance properties, E 1(v z1, v 1) for train running speed is at v z1and v 1between time haulage capacity consumption, E 1for haulage capacity loss.
Segmentation braking regenerated energy draws according to following formula:
E 2 ( v z 2 , v 2 ) = μ ∫ v z 2 v 2 f 2 ( v ) · v a 2 v 2 + b 2 v + c 2 dv ,
All segmentation braking regenerated energies are added and draw braking regenerated energy E 2;
Wherein, f 2(v)=a 22v 2+ b 22v+c 22, f 2v () is the braking force under maximum damped condition, when μ is train braking, the energy back that electric braking force acting produces to the efficiency of electrical network, a 22, b 22, c 22, a 2, b 2, c 2for constant, a 22, b 22, c 22, a 2, b 2, c 2determined by the braking characteristics of train, aerodynamic resistance properties, E 2(v z2, v 2) for train running speed is at v z2and v 2between time braking energy consumption, E 2for braking regenerated energy.
Wherein, when train does not have regenerative braking capability, during train braking, the energy back that electric braking force acting produces is 0 to the value of the efficiency μ of electrical network;
When train has regenerative braking capability, during train braking, the energy back that electric braking force acting produces is less than 95% usually to the value of the efficiency μ of electrical network.
Wherein, when train travels at the uniform speed, the tractive force of train and air resistance equal and opposite in direction, according to aerodynamic resistance properties curve, draw at the uniform velocity waste of power, specifically comprise:
E 3=f 3(v 0)×s 4
Wherein, f 3(v 0) be the tractive force under the operating mode that travels at the uniform speed, v 0the speed of train when traveling at the uniform speed, i.e. highest running speed, s 4for the distance that travels at the uniform speed.
First relational expression is: S=s 1+ s 2+ s 3+ s 4, wherein, s 1for running under power distance, s 2for running under braking distance, s 3for coasting range ability, s 4for the distance that travels at the uniform speed, S is total range ability.
Second relational expression is: T=t 1+ t 2+ t 3+ t 4, wherein, t 1for the running under power time, t 2for the running under braking time, t 3for coasting time of run, t 4for the time of traveling at the uniform speed, T is total run time.
3rd relational expression is: E=E 1-E 2+ E 3, wherein, E 1for haulage capacity loss, E 2for braking regenerated energy, E 3for at the uniform velocity waste of power.
By the first relational expression, the second relational expression, the 3rd relational expression simultaneous, draw the relation of train energy loss and highest running speed, make the relation curve of train energy loss and highest running speed, find out train energy loss minimum time energy-conservation highest running speed.
It should be noted that: total range ability, total run time are determined.The tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties can both be represented by the quadratic function of segmentation.If the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties do not represent by the quadratic function of segmentation, then can plan the tractive characteristic of train, quadratic function that the braking characteristics of train, aerodynamic resistance properties fit to segmentation respectively.
Visible by foregoing description, the embodiment of the present invention has following beneficial effect:
1, by a kind of operation control method for train that the embodiment of the present invention provides, train operation curve when train energy consumes minimum can be obtained according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties, do not need in this method to determine parameter by driving experience, the energy-saving train run curve obtained is more accurate, and the energy-saving efficiency of train operation is higher.
2, by a kind of operation control method for train that the embodiment of the present invention provides, consider that regenerative brake is on the impact of energy, meets the loss situation of present motor-car energy reality, can obtain the energy-saving train run curve of the train with braking energy feedback function.
3, by a kind of operation control method for train that the embodiment of the present invention provides, treating process is simple, requires low to computer computation ability.
It should be noted that, in this article, the relational terms of such as first and second and so on is only used for an entity or operation to separate with another entity or operational zone, and not necessarily requires or imply the relation that there is any this reality between these entities or operation or sequentially.And, term " comprises ", " comprising " or its any other variant are intended to contain comprising of nonexcludability, thus make to comprise the process of a series of key element, method, article or equipment and not only comprise those key elements, but also comprise other key elements clearly do not listed, or also comprise by the intrinsic key element of this process, method, article or equipment.When not more restrictions, the key element limited by statement " comprising ... ", and be not precluded within process, method, article or the equipment comprising described key element and also there is other same factor.
One of ordinary skill in the art will appreciate that: all or part of step realizing said method embodiment can have been come by the hardware that programmed instruction is relevant, aforesaid program can be stored in the storage medium of embodied on computer readable, this program, when performing, performs the step comprising said method embodiment; And aforesaid storage medium comprises: ROM, RAM, magnetic disc or CD etc. various can be program code stored medium in.
Finally it should be noted that: the foregoing is only preferred embodiment of the present invention, only for illustration of technical scheme of the present invention, be not intended to limit protection scope of the present invention.All any amendments done within the spirit and principles in the present invention, equivalent replacement, improvement etc., be all included in protection scope of the present invention.

Claims (9)

1. an operation control method for train, is characterized in that, comprising:
The relation of train energy loss and highest running speed is drawn according to the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties;
According to the relation of train energy loss and highest running speed, draw energy-conservation highest running speed when train energy loss is minimum;
Speed when drawing according to described energy-conservation highest running speed the time of traveling at the uniform speed and start maximum braking;
According to described energy-conservation highest running speed, described in travel at the uniform speed time, described beginning maximum braking time speed draw energy-saving train run curve;
Train operation is controlled according to described energy-saving train run curve.
2. method according to claim 1, is characterized in that, the described tractive characteristic according to train, the braking characteristics of train, aerodynamic resistance properties draw the relation of train energy loss and highest running speed, comprising:
Show that traction is made a concerted effort acceleration/accel, running under power distance, running under power time and haulage capacity loss according to the tractive characteristic of train, aerodynamic resistance properties;
Show that braking is made a concerted effort acceleration/accel, running under braking distance, running under braking time and braking regenerated energy according to the braking characteristics of train, aerodynamic resistance properties;
Show that coasting is made a concerted effort acceleration/accel, coasting range ability, coasting time of run according to aerodynamic resistance properties;
According to the first relation, the second relation, the 3rd relation, draw the relation of train energy loss and highest running speed;
Described first to close be running under power distance, running under braking distance, coasting range ability, traveling at the uniform speed equals total range ability apart from sum;
Described second to close be the running under power time, running under braking time, coasting time of run, the time sum of traveling at the uniform speed equal total run time;
Described 3rd to close be haulage capacity loss and at the uniform velocity waste of power sum, deducts braking regenerated energy and equal train energy loss.
3. method according to claim 2, is characterized in that, the described tractive characteristic according to train, aerodynamic resistance properties show that traction is made a concerted effort acceleration/accel, running under power distance, running under power time, comprising:
Show that traction acceleration/accel of making a concerted effort is φ according to the tractive characteristic of train, aerodynamic resistance properties 1(v)=a 1v 2+ b 1v+c 1;
Show that step traction time of run is according to drawing acceleration/accel of making a concerted effort: step traction range ability is: x 1 ( v z 1 , v 1 ) = ∫ v z 1 v 1 v a 1 v 2 + b 1 v + c 1 dv ;
All step traction time of ruies are added and draw the running under power time;
All step traction range abilities are added and draw running under power distance;
Wherein, φ 1v () is traction acceleration/accel with joint efforts, a 1, b 1, c 1for constant, a 1, b 1, c 1determine according to the tractive characteristic of train, aerodynamic resistance properties, t 1(v z1, v 1) for train running speed is at v z1and v 1between time the running under power time, x 1(v z1, v 1) train running speed is at v z1and v 1between time running under power distance.
4. method according to claim 2, is characterized in that, the described braking characteristics according to train, aerodynamic resistance properties show that braking is made a concerted effort acceleration/accel, running under braking distance, running under braking time, comprising:
Show that braking acceleration/accel of making a concerted effort is according to the braking characteristics of train, aerodynamic resistance properties
φ 2(v)=a 2v 2+b 2v+c 2
Show that segmentation braking time of run is according to drawing acceleration/accel of making a concerted effort: segmentation braking range ability is: x 2 ( v z 2 , v 2 ) = ∫ v z 2 v 2 v a 2 v 2 + b 2 v + c 2 dv ;
All segmentation braking time of ruies are added and draw the running under braking time;
All segmentation braking range abilities are added and draw running under braking distance;
Wherein, φ 2v () is braking acceleration/accel with joint efforts, a 2, b 2, c 2for constant, a 2, b 2, c 2determine according to the braking characteristics of train, aerodynamic resistance properties, t 2(v z2, v 2) for train running speed is at v z2and v 2between time the running under braking time, x 2(v z2, v 2) train running speed is at v z2and v 2between time running under braking distance.
5. method according to claim 2, is characterized in that, describedly show that coasting is made a concerted effort acceleration/accel, coasting range ability, coasting time of run according to aerodynamic resistance properties, comprising:
Show that coasting acceleration/accel of making a concerted effort is according to aerodynamic resistance properties:
φ 3(v)=a 3v 2+b 3v+c 3
Show that coasting time of run is according to coasting acceleration/accel of making a concerted effort: coasting range ability is: s 3 = ∫ v a 3 v 2 + b 3 v + c 3 dv ;
Wherein, φ 3v () to be made a concerted effort acceleration/accel for coasting, a 3, b 3, c 3for constant, a 3, b 3, c 3determine according to aerodynamic resistance properties, t 3coasting time of run, s 3it is coasting range ability.
6. method according to claim 3, is characterized in that,
Step traction waste of power draws according to following formula:
E 1 ( v z 1 , v 1 ) = ∫ v z 1 v 1 f 1 ( v ) · v a 1 v 2 + b 1 v + c 1 dv ,
All step traction wastes of power are added and draw described haulage capacity loss;
Wherein, f 1(v)=a 11v 2+ b 11v+c 11, f 1v () is the tractive force under maximum traction working condition, a 11, b 11, c 11, a 1, b 1, c 1for constant, a 11, b 11, c 11, a 1, b 1, c 1determined by the tractive characteristic of train, aerodynamic resistance properties, E 1(v z1, v 1) for train running speed is at v z1and v 1between time haulage capacity consumption.
7. method according to claim 4, is characterized in that,
Segmentation braking regenerated energy draws according to following formula:
E 2 ( v z 2 , v 2 ) = μ ∫ v z 2 v 2 f 2 ( v ) · v a 2 v 2 + b 2 v + c 2 dv ,
All segmentation braking regenerated energies are added and draw described braking regenerated energy;
Wherein, f 2(v)=a 22v 2+ b 22v+c 22, f 2v () is the braking force under maximum damped condition, when μ is train braking, the energy back that electric braking force acting produces to the efficiency of electrical network, a 22, b 22, c 22, a 2, b 2, c 2for constant, a 22, b 22, c 22, a 2, b 2, c 2determined by the braking characteristics of train, aerodynamic resistance properties, E 2(v z2, v 2) for train running speed is at v z2and v 2between time braking regenerated energy.
8. method according to claim 7, is characterized in that,
When train does not have braking energy feedback function, during described train braking, the energy back that electric braking force acting produces is 0 to the value of the efficiency of electrical network.
9. method according to claim 1, is characterized in that, the tractive characteristic of described train, the braking characteristics of train, aerodynamic resistance properties can both be represented by the quadratic function of segmentation.
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