CN103661434A - Operation control method for train - Google Patents
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- 230000001133 acceleration Effects 0.000 claims description 42
- 230000002153 concerted effect Effects 0.000 claims description 36
- 230000011218 segmentation Effects 0.000 claims description 23
- 238000004134 energy conservation Methods 0.000 claims description 11
- 239000002699 waste material Substances 0.000 claims description 11
- 241001247986 Calotropis procera Species 0.000 claims description 6
- 238000012887 quadratic function Methods 0.000 claims description 5
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Abstract
本发明提供了一种列车运行控制方法，包括：根据列车的牵引特性、列车的制动特性、空气阻力特性得出列车能量损耗与最高运行速度的关系；根据列车能量损耗与最高运行速度的关系，得出列车能量损耗最小时的最高运行速度；根据所述最高运行速度得出匀速运行时间和开始最大制动时的速度；根据所述最高运行速度、所述匀速运行时间、所述开始最大制动时的速度得出节能列车运行曲线；根据所述列车节能运行曲线控制列车运行。通过本发明实施例提供的一种列车运行控制方法，根据列车的牵引特性、列车的制动特性、空气阻力特性能够得到列车能量消耗最小的情况下的列车运行曲线，得到的节能列车运行曲线更加准确，列车运行的节能效率更高。
The invention provides a train operation control method, comprising: obtaining the relationship between the energy loss of the train and the maximum running speed according to the traction characteristics of the train, the braking characteristics of the train, and the air resistance characteristics; , to obtain the maximum running speed when the energy loss of the train is the smallest; according to the maximum running speed, obtain the constant speed running time and the speed when starting the maximum braking; The speed during braking is used to obtain an energy-saving train operation curve; the train operation is controlled according to the energy-saving train operation curve. Through the train operation control method provided by the embodiment of the present invention, according to the traction characteristics of the train, the braking characteristics of the train, and the air resistance characteristics, the train operation curve under the condition of the minimum energy consumption of the train can be obtained, and the obtained energy-saving train operation curve is more efficient. Accurate, the energy-saving efficiency of train operation is higher.
Description
Technical field
The present invention relates to Train Control field, relate in particular 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 control principle of train operation for maximumly draw, travels at the uniform speed, coasting and four operating conditions compositions of maximum braking.In order to realize energy-saving train operation, need to draw out train operation curve, and according to train operation curve, control the operation of train.In maximum, draw, travel at the uniform speed, under coasting and four operating conditions of maximum braking, as long as determine each train change working point, just can determine train operation curve.And to determine that each change-over point will be determined highest running speed, the process time that travels at the uniform speed, the speed while starting maximum braking
In prior art, determine that the method for change working point mainly passes through heuritic approach: set a highest running speed, speed when extrapolating the time of run under each corresponding operating mode and starting maximum braking according to this highest running speed and driver's driving experience, and judge whether the parameters drawing meets the requirement of total range ability and total run time, if do not meet, reset new highest running speed, carry out identical processing, until find one group of data can meet the requirement of total range ability and total run time, according to these group data, determine each change working point.
Visible by foregoing description, method of the prior art is determined change working point by cyclic test and train driving experience, according to the train operation curve drawing, controls train operation, and energy-saving efficiency is lower.
Summary of the invention
The invention provides a kind of train operation control method, can reach higher energy-saving efficiency.
The invention provides a kind of train operation control method, comprising:
According to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, draw the relation of train energy loss and highest running speed;
According to the relation of train energy loss and highest running speed, draw train energy loss energy-conservation highest running speed hour;
Speed when drawing the time of traveling at the uniform speed and starting maximum braking according to described energy-conservation highest running speed;
According to described energy-conservation highest running speed, described in speed while traveling at the uniform speed time, described beginning maximum braking draw energy-saving train run curve;
According to described energy-saving train run curve, control train operation.
Further, the described relation that draws train energy loss and highest running speed according to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, comprising:
According to the tractive characteristic of train, aerodynamic resistance properties, draw traction acceleration/accel, running under power distance, running under power time and haulage capacity loss with joint efforts;
According to the braking characteristics of train, aerodynamic resistance properties, draw braking acceleration/accel, running under braking distance, running under braking time and braking regenerated energy with joint efforts;
According to aerodynamic resistance properties, draw coasting make a concerted effort acceleration/accel, coasting range ability, coasting time of run;
According to the first relation, the second relation, the 3rd relation, draw the relation of train energy loss and highest running speed;
Described the first pass is 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 running under power time, running under braking time, coasting time of run, the time sum of traveling at the uniform speed to equal total run time;
The described the 3rd to close be haulage capacity loss and waste of power sum at the uniform velocity, deducts braking regenerated energy and equal train energy loss.
Further, describedly according to the tractive characteristic of train, aerodynamic resistance properties, show that traction makes a concerted effort acceleration/accel, running under power distance, running under power time, comprising:
According to the tractive characteristic of train, aerodynamic resistance properties, show that drawing the acceleration/accel of making a concerted effort is φ
1(v)=a
1v
2+ b
1v+c
1;
According to drawing the acceleration/accel of making a concerted effort, show that step traction time of run is:
step traction range ability is:
All step traction time of ruies are added and are drawn the running under power time;
All step traction range abilities are added and draw running under power distance;
Wherein, φ
1(v) for drawing the acceleration/accel of making a concerted effort, a
1, b
1, c
1for constant, a
1, b
1, c
1according to the tractive characteristic of train, aerodynamic resistance properties, determine t
1(v
z1, v
1) be that 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, describedly according to the braking characteristics of train, aerodynamic resistance properties, show that braking makes a concerted effort acceleration/accel, running under braking distance, running under braking time, comprising:
According to the braking characteristics of train, aerodynamic resistance properties, show that braking the acceleration/accel of making a concerted effort is
φ
2(v)＝a
2v
2+b
2v+c
2；
According to drawing the acceleration/accel of making a concerted effort, show that segmentation braking time of run is:
segmentation braking range ability is:
All segmentation braking time of ruies are added and are drawn the running under braking time;
All segmentation braking range abilities are added and draw running under braking distance;
Wherein, φ
2(v) for braking the acceleration/accel of making a concerted effort, a
2, b
2, c
2for constant, a
2, b
2, c
2according to the braking characteristics of train, aerodynamic resistance properties, determine t
2(v
z2, v
2) be that 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 according to aerodynamic resistance properties, draw coasting make a concerted effort acceleration/accel, coasting range ability, coasting time of run, comprising:
According to aerodynamic resistance properties, show that the coasting acceleration/accel of making a concerted effort is:
φ
3(v)＝a
3v
2+b
3v+c
3；
According to the coasting acceleration/accel of making a concerted effort, show that coasting time of run is:
coasting range ability is:
Wherein, φ
3(v) be the coasting acceleration/accel of making a concerted effort, a
3, b
3, c
3for constant, a
3, b
3, c
3according to aerodynamic resistance properties, determine t
3coasting time of run, s
3it is coasting range ability.
Further, step traction waste of power draws according to following formula:
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
1(v) be 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
1tractive characteristic, aerodynamic resistance properties by train are determined, E
1(v
z1, v
1) be that train running speed is at v
z1and v
1between time haulage capacity consumption.
Further, segmentation braking regenerated energy draws according to following formula:
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
2(v) be the braking force under maximum damped condition, when μ is train braking, the energy back that electric braking force acting produces is 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
2braking characteristics, aerodynamic resistance properties by train are determined, E
2(v
z2, v
2) be that 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 represent by the quadratic function of segmentation.
By a kind of train operation control method provided by the invention, according to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, can access train energy and consume the train operation curve in minimum situation, in this method, do not need to determine parameter by driving experience, the energy-saving train run curve obtaining 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, to the accompanying drawing of required use in embodiment or description of the Prior Art be briefly described below, apparently, accompanying drawing in the following describes is some embodiments of the present invention, for those of ordinary skills, do not paying under the prerequisite of creative work, can also obtain according to these accompanying drawings other accompanying drawing.
Fig. 1 is a kind of energy-saving train operation control method diagram of circuit that the embodiment of the present invention provides.
The specific embodiment
For making object, technical scheme and the advantage of the embodiment of the present invention clearer; 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, rather than whole embodiment, the embodiment based in the present invention; the every other embodiment that those of ordinary skills obtain under the prerequisite of not making creative work, belongs to the scope of protection of the invention.
The embodiment of the present invention provides a kind of energy-saving train operation control method, referring to Fig. 1, specifically comprises:
Step 101: the relation that draws train energy loss and highest running speed according to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties;
Step 102: according to the relation of train energy loss and highest running speed, draw train energy loss energy-conservation highest running speed hour;
Step 103: the speed when drawing the time of traveling at the uniform speed and starting maximum braking according to energy-conservation highest running speed;
Step 104: the speed during according to energy-conservation highest running speed, the time that travels at the uniform speed, the maximum braking of beginning draws energy-saving train run curve;
Step 105: control train operation according to energy-saving train run curve.
A kind of train operation control method providing by the embodiment of the present invention, according to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, can access train energy and consume the train operation curve in minimum situation, in this method, do not need to determine parameter by driving experience, the energy-saving train run curve obtaining is more accurate, and the energy-saving efficiency of train operation is higher.
Alternatively, step 101 specifically comprises:
According to the tractive characteristic of train, aerodynamic resistance properties, draw traction acceleration/accel, running under power distance, running under power time and haulage capacity loss with joint efforts;
According to the braking characteristics of train, aerodynamic resistance properties, draw braking acceleration/accel, running under braking distance, running under braking time and braking regenerated energy with joint efforts;
According to aerodynamic resistance properties, draw coasting make a concerted effort acceleration/accel, coasting range ability, coasting time of run;
According to the first relation, the second relation, the 3rd relation, draw the relation of train energy loss and highest running speed;
Wherein, the first pass is 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 running under power time, running under braking time, coasting time of run, the time sum of traveling at the uniform speed to equal total run time;
The 3rd to close be haulage capacity loss and waste of power sum at the uniform velocity, deducts braking regenerated energy and equal train energy loss.
Alternatively, according to the tractive characteristic of train, aerodynamic resistance properties, show that drawing the acceleration/accel of making a concerted effort is φ
1(v)=a
1v
2+ b
1v+c
1;
According to drawing the acceleration/accel of making a concerted effort, show that step traction time of run is:
step traction range ability is:
All step traction time of ruies are added and draw running under power time t
1;
All step traction range abilities are added and show that running under power is apart from s
1;
Wherein, φ
1(v) for drawing the acceleration/accel of making a concerted effort, a
1, b
1, c
1for constant, a
1, b
1, c
1according to the tractive characteristic of train, aerodynamic resistance properties, determine t
1(v
z1, v
1) be that 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 running under power time, s
1for running under power distance.
According to the braking characteristics of train, aerodynamic resistance properties, show that braking the acceleration/accel of making a concerted effort is
φ
2(v)＝a
2v
2+b
2v+c
2；
According to drawing the acceleration/accel of making a concerted effort, show that segmentation braking time of run is:
segmentation braking range ability is:
All segmentation braking time of ruies are added and draw running under braking time t
2;
All segmentation braking range abilities are added and show that running under braking is apart from s
2;
Wherein, φ
2(v) for braking the acceleration/accel of making a concerted effort, a
2, b
2, c
2for constant, a
2, b
2, c
2according to the braking characteristics of train, aerodynamic resistance properties, determine t
2(v
z2, v
2) be that 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 running under braking time, s
2for running under braking distance.
According to aerodynamic resistance properties, show that the coasting acceleration/accel of making a concerted effort is:
φ
3(v)＝a
3v
2+b
3v+c
3；
According to the coasting acceleration/accel of making a concerted effort, show that coasting time of run is:
coasting range ability is:
Wherein, φ
3(v) be the coasting acceleration/accel of making a concerted effort, a
3, b
3, c
3for constant, a
3, b
3, c
3according to aerodynamic resistance properties, determine t
3coasting time of run, s
3it is coasting range ability.
Step traction waste of power draws according to following formula:
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
1(v) be 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
1tractive characteristic, aerodynamic resistance properties by train are determined, E
1(v
z1, v
1) be that 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:
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
2(v) be the braking force under maximum damped condition, when μ is train braking, the energy back that electric braking force acting produces is 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
2braking characteristics, aerodynamic resistance properties by train are determined, E
2(v
z2, v
2) be that 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% conventionally 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 comprises:
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 while traveling at the uniform speed, i.e. highest running speed, s
4for the distance that travels at the uniform speed.
The 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.
The second relational expression is: T=t
1+ t
2+ t
3+ t
4, wherein, t
1for running under power time, t
2for 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.
The 3rd relational expression is: E=E
1-E
2+ E
3, wherein, E
1for haulage capacity loss, E
2for braking regenerated energy, E
3for waste of power at the uniform velocity.
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 energy-conservation highest running speed hour.
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 represent by the quadratic function of segmentation.If the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties can not represent by the quadratic function of segmentation, can plan the tractive characteristic of train, the braking characteristics of train, aerodynamic resistance properties fit to respectively the quadratic function of segmentation.
Visible by foregoing description, the embodiment of the present invention has following beneficial effect:
1, a kind of train operation control method providing by the embodiment of the present invention, according to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, can access train energy and consume the train operation curve in minimum situation, in this method, do not need to determine parameter by driving experience, the energy-saving train run curve obtaining is more accurate, and the energy-saving efficiency of train operation is higher.
2, a kind of train operation control method providing by the embodiment of the present invention, considers the impact of regenerative brake on energy, meets the loss situation of present motor-car energy reality, can access the energy-saving train run curve of the train with braking energy feedback function.
3, a kind of train operation control method providing by the embodiment of the present invention, treating process is simple, to computer computation ability, requires low.
It should be noted that, in this article, relational terms such as first and second is only used for an entity or operation to separate with another entity or operational zone, and not necessarily requires or imply and between these entities or operation, have the relation of any this reality or sequentially.And, term " comprises ", " comprising " or its any other variant are intended to contain comprising of nonexcludability, thereby the process, method, article or the equipment that make to comprise a series of key elements not only comprise those key elements, but also comprise other key elements of clearly not listing, or be also included as the intrinsic key element of this process, method, article or equipment.The in the situation that of more restrictions not, the key element being limited by statement " comprising ... ", and be not precluded within process, method, article or the equipment that comprises described key element and also have other same factor.
One of ordinary skill in the art will appreciate that: all or part of step that realizes said method embodiment can complete by the relevant hardware of programmed instruction, aforesaid program can be stored in the storage medium of embodied on computer readable, this program, when carrying out, is carried out the step that comprises said method embodiment; And aforesaid storage medium comprises: in the various media that can be program code stored such as ROM, RAM, magnetic disc or CD.
Finally it should be noted that: the foregoing is only preferred embodiment of the present invention, only, for technical scheme of the present invention is described, be not intended to limit protection scope of the present invention.All any modifications of making within the spirit and principles in the present invention, be equal to replacement, improvement etc., be all included in protection scope of the present invention.
Claims (9)
1. a train operation control method, is characterized in that, comprising:
According to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, draw the relation of train energy loss and highest running speed;
According to the relation of train energy loss and highest running speed, draw train energy loss energy-conservation highest running speed hour;
Speed when drawing the time of traveling at the uniform speed and starting maximum braking according to described energy-conservation highest running speed;
According to described energy-conservation highest running speed, described in speed while traveling at the uniform speed time, described beginning maximum braking draw energy-saving train run curve;
According to described energy-saving train run curve, control train operation.
2. method according to claim 1, is characterized in that, the described relation that draws train energy loss and highest running speed according to the braking characteristics of the tractive characteristic of train, train, aerodynamic resistance properties, comprising:
According to the tractive characteristic of train, aerodynamic resistance properties, draw traction acceleration/accel, running under power distance, running under power time and haulage capacity loss with joint efforts;
According to the braking characteristics of train, aerodynamic resistance properties, draw braking acceleration/accel, running under braking distance, running under braking time and braking regenerated energy with joint efforts;
According to aerodynamic resistance properties, draw coasting make a concerted effort acceleration/accel, coasting range ability, coasting time of run;
According to the first relation, the second relation, the 3rd relation, draw the relation of train energy loss and highest running speed;
Described the first pass is 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 running under power time, running under braking time, coasting time of run, the time sum of traveling at the uniform speed to equal total run time;
The described the 3rd to close be haulage capacity loss and waste of power sum at the uniform velocity, deducts braking regenerated energy and equal train energy loss.
3. method according to claim 2, is characterized in that, describedly according to the tractive characteristic of train, aerodynamic resistance properties, show that traction makes a concerted effort acceleration/accel, running under power distance, running under power time, comprising:
According to the tractive characteristic of train, aerodynamic resistance properties, show that drawing the acceleration/accel of making a concerted effort is φ
1(v)=a
1v
2+ b
1v+c
1;
According to drawing the acceleration/accel of making a concerted effort, show that step traction time of run is:
step traction range ability is:
All step traction time of ruies are added and are drawn the running under power time;
All step traction range abilities are added and draw running under power distance;
Wherein, φ
1(v) for drawing the acceleration/accel of making a concerted effort, a
1, b
1, c
1for constant, a
1, b
1, c
1according to the tractive characteristic of train, aerodynamic resistance properties, determine t
1(v
z1, v
1) be that 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, describedly according to the braking characteristics of train, aerodynamic resistance properties, show that braking makes a concerted effort acceleration/accel, running under braking distance, running under braking time, comprising:
According to the braking characteristics of train, aerodynamic resistance properties, show that braking the acceleration/accel of making a concerted effort is
φ
2(v)＝a
2v
2+b
2v+c
2；
According to drawing the acceleration/accel of making a concerted effort, show that segmentation braking time of run is:
segmentation braking range ability is:
All segmentation braking time of ruies are added and are drawn the running under braking time;
All segmentation braking range abilities are added and draw running under braking distance;
Wherein, φ
2(v) for braking the acceleration/accel of making a concerted effort, a
2, b
2, c
2for constant, a
2, b
2, c
2according to the braking characteristics of train, aerodynamic resistance properties, determine t
2(v
z2, v
2) be that 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 according to aerodynamic resistance properties, draws coasting make a concerted effort acceleration/accel, coasting range ability, coasting time of run, comprising:
According to aerodynamic resistance properties, show that the coasting acceleration/accel of making a concerted effort is:
φ
3(v)＝a
3v
2+b
3v+c
3；
According to the coasting acceleration/accel of making a concerted effort, show that coasting time of run is:
coasting range ability is:
Wherein, φ
3(v) be the coasting acceleration/accel of making a concerted effort, a
3, b
3, c
3for constant, a
3, b
3, c
3according to aerodynamic resistance properties, determine 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:
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
1(v) be 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
1tractive characteristic, aerodynamic resistance properties by train are determined, E
1(v
z1, v
1) be that 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:
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
2(v) be the braking force under maximum damped condition, when μ is train braking, the energy back that electric braking force acting produces is 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
2braking characteristics, aerodynamic resistance properties by train are determined, E
2(v
z2, v
2) be that 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 represent by the quadratic function of segmentation.
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