CN103390111A - Calculation method oriented to single-train running energy consumption of urban rail transit - Google Patents

Calculation method oriented to single-train running energy consumption of urban rail transit Download PDF

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CN103390111A
CN103390111A CN2013103226486A CN201310322648A CN103390111A CN 103390111 A CN103390111 A CN 103390111A CN 2013103226486 A CN2013103226486 A CN 2013103226486A CN 201310322648 A CN201310322648 A CN 201310322648A CN 103390111 A CN103390111 A CN 103390111A
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energy consumption
power
traction
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荀径
李坤妃
步兵
杨欣
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Beijing Jiaotong University
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Beijing Jiaotong University
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Abstract

The invention discloses a calculation method oriented to single-train running energy consumption of urban rail transit in the field of evaluation of electric traction train energy consumption of urban rail transit. The method comprises the steps of firstly establishing a train traction model by analyzing car performance, line conditions and a signal system, and calculating the instantaneous power and the accumulative energy consumption of a traction system based on the running speed, the running position and the running time of a train; then establishing a train auxiliary system model by analyzing car configuration equipment, and calculating the instantaneous power and the accumulative energy consumption of an auxiliary system based on elements such as rated power and running time; and finally calculating the total running energy consumption of a single train based on traction energy consumption data and auxiliary energy consumption data. The calculation method disclosed by the invention can be used for respectively calculating the energy consumption of the train traction system and the auxiliary system. When train parameters or the line conditions are changed, the train running energy consumption can be more flexibly calculated by using the method.

Description

A kind of computing method towards urban track traffic single vehicles operation energy consumption
Technical field
The invention belongs to the evaluation areas that track traffic electric power tractor-trailer train energy consumes, relate in particular to a kind of computing method towards urban track traffic single vehicles operation energy consumption.
Background technology
Track traffic is the mode of transportation that has sustainable development most.Urban track traffic, often as the backbone of urban transportation, is born the heavy burden that reduces traffic congestion, realizes energy-saving and emission-reduction.Caused in recent years more and more scholars' concern for the research of urban track traffic energy-saving and emission-reduction.In order to realize saving the energy consumption of City Rail Transit System, must determine to consume the equipment of the energy and the mechanism of power consumption thereof in system, assess on this basis its energy consumption.The energy consumption of urban railway transit train mainly contains two types: a class is the relevant energy consumption of traction, and another kind of is the relevant energy consumption of non-traction.
The relevant energy consumption of traction refers to the energy consumption that produces for running train.The process that train moves generally includes 4 kinds of situations: draw, cruise, coasting and braking.In distraction procedure, electric energy is converted into mechanical energy by motor, promotes train and moves.The resistance that needs in the process of cruising to overcome the factors generations such as air, the gradient does work.Coasting does not have energy consumption.During braking, the mechanical energy that train has is converted into that thermal energy consumption dissipates or regenerated energy (by other cars, utilized or be stored in the energy storage device).
The energy consumption that non-traction is relevant refers to all energy consumptions the energy consumption that produces except running train.In train travelling process,, except running train can produce energy consumption,, in order to guarantee the normal operation of the quality of runing (comfortableness) and trailer system, need the configuration relevant device to comprise ventilation, air-conditioning, illumination, heat radiation, control etc.These equipment also can produce energy consumption.ON TRAINS, this part electric energy is provided by vehicle-mounted subordinate inverter usually.
Also there is following problem in the Calculation Method of Energy Consumption of urban track traffic electric propulsion train at present: at first in system in the past, the designer can only provide certain Partial Power of train usually, only can estimate the energy consumption of this equipment, for example according to the characteristic estimating of train traction motor, draw the stage energy consumption.A kind of energy consumption method that also there is no at present comprehensive calculating train operation overall process; Secondly, the performance number of current consuming apparatus is often ratings, and there is a big difference with real power, causes the result of calculation deviation large, and the actual effect of decision-making is worked out in impact.
In sum, a kind of method of rational calculating urban railway transit train energy consumption, can, for the energy consumption and performance of more dissimilar train, help city rail traffic route to determine suitable type of train., by calculating the train energy consumption, can accurately understand the energy consumption of train aspect two of traction and non-tractions.This both can provide foundation for the train of selecting low energy consumption, also for the train of determining type, formulates reasonably operation strategy Data support is provided., if it is unreasonable or inaccurate to calculate the mode of train energy consumption, can cause whole system can't realize the target of the energy-saving and emission-reduction of expecting.
Therefore need a kind of method of more fully calculating urban track traffic electric propulsion train energy consumption.
Summary of the invention
The existing problem of Calculation Method of Energy Consumption for the present urban track traffic electric propulsion train of mentioning in background technology, the present invention proposes a kind of computing method towards urban track traffic single vehicles operation energy consumption.
A kind of computing method towards urban track traffic single vehicles operation energy consumption, is characterized in that considering the train traction power consumption and assist the power consumption process, and described method specifically comprises step:
Step 1: determine the train performance parameter, described parameter comprises train weight, train model, train dynamics type, train transmission efficiency, draws electric conversion ratio, resistance coefficient and conversion factor;
Step 2: the quantity of determining train apparatus performance number and each equipment: the quantity of determining air conditioner compressed acc power, guest room air-conditioning power, guest room lighting power, power of traction motor, inverter heat dissipation equipment power, braking resistor ventilation equipment power, other consumer power and each equipment based on each device parameter of train;
Step 3: import the data file that is formed by train speed, position, time and equipment working state multidate information;
Step 4: the current residing state of judgement train, and determine calculative energy consumption;
Step 5: judge whether to reach the end of the data file that step 3 imports, if so, withdraw from iteration, execution step 6; Otherwise, return to execution step 4;
Step 6: corresponding all energy consumption additions when in step 4, train is in different conditions obtain the total energy consumption in train travelling process.
In described step 4, the current residing state of judgement train, and determine that the detailed process that needs to calculate energy consumption is:
Step 401: based on the speed V of the previous moment of train 0, current time speed V 1Obtain suffered the making a concerted effort of train current time with train weight M and be worth F 1And direction;
Step 402: the F that makes a concerted effort that obtains the current suffered various resistances of train according to resistance coefficient, train weight M, the gradient, the curvature parameters of train 2
F 2=-f Base-f Slope-f Bent
Wherein, M is train weight; f Base=a+bV 1+ cV 1 2f Slope=iG=igM;
Figure BDA00003586278600041
A, b, c are respectively resistance coefficient; I is value of slope corresponding to train current time; G is the suffered gravity of train; G is acceleration of gravity, unit: rice/square second; A is experience factor, is constant; R is radius-of-curvature;
Step 403: according to F 1And F 2Magnitude relationship judge the residing state of current train;
A) work as F 1And F 2Identical and the V of direction 1Opposite direction and F 1F 2The time, perhaps work as F 1, F 2, V 1Identical and the F of direction 1<F 2The time, judge that train is in on-position, calculate regenerated energy and backup system energy consumption;
B) and if only if F 1And F 2Identical and the V of direction 1Opposite direction and F 1=F 2The time, judge that train is in the coasting state, calculate the backup system energy consumption;
C) work as F 1And F 2Identical and the V of direction 1Opposite direction and F 1<F 2The time, perhaps work as F 1, F 2, V 1Identical and the F of direction 1F 2The time, perhaps work as F 1And F 2During opposite direction, judge that train is in traction state, calculate traction energy consumption and the backup system energy consumption of train.
The computing method of described traction energy consumption are:
(1) train is in traction state in accelerator, and suffered the making a concerted effort of train this moment is worth F 1For:
F 1 = M × V ( t + Δt ) - V ( t ) Δt
Wherein, V (t) is train t speed constantly; V (t+ Δ t) is train t+ Δ t speed constantly; Wherein Δ t is the time of corresponding train status;
Tractive force F T=F 1-F 2The tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system
Figure BDA00003586278600051
Thereby obtaining traction energy consumption in the train accelerator is J T=P ' T* Δ t;
(2) train is for remaining a constant speed in process at the uniform velocity, and this moment, tractive force equaled resistance, and computing method are F T=F 2=-f Base-f Slope-f BentThe tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system Thereby obtain train at the uniform velocity in process the traction energy consumption be J T=P ' T* Δ t.
The process of the calculating of described non-traction energy consumption is:
, based on the electricity consumption situation of each consumer, determine the general power of backup system; Based on auxiliary power supply transformation efficiency μ A, calculate auxiliary power supply power
Figure BDA00003586278600053
Thereby obtain non-traction energy consumption J A=P ' A* Δ t.
The energy-producing computation process of described regenerative braking is:
At first calculate damping force, its value is for making a concerted effort and the phasor difference of resistance, i.e. f=F 1-F 2Thereby, obtain the damping force power P f=f * V 1Based on regenerated energy feedback factor μ RCan calculate the electric power that regenerative braking produces
Figure BDA00003586278600054
Be J thereby obtain drawing energy consumption f=P f' * Δ t.
The beneficial effect of tool of the present invention is, both considered the train traction energy consumption, considers again the utility appliance energy consumption, can also calculate regenerating braking energy, more comprehensively adds up the energy consumption of train travelling process, and computational solution precision is higher.Track data and Train Parameters can be changed according to concrete circuit, can be according to different circuits, the different model train calculates the train operation energy consumption, both can be used for the traction energy consumption calculation of urban track traffic electric propulsion train, also can be used for the calculating of backup system with electric energy consumption.
Description of drawings
Fig. 1 is single vehicles energy flow diagram provided by the invention;
Fig. 2 is the process flow diagram of a kind of computing method towards urban track traffic single vehicles operation energy consumption provided by the invention;
Fig. 3 is train force analysis picture group provided by the invention;
Fig. 4 is operational process figure between train station provided by the invention.
Embodiment
Below in conjunction with accompanying drawing, preferred embodiment is elaborated.Should be emphasized that following explanation is only exemplary, rather than in order to limit the scope of the invention and to apply.
Fig. 1 is single vehicles energy flow diagram provided by the invention.The train operation energy consumption is divided into two parts: the relevant energy consumption energy consumption relevant with non-traction of traction, calculate respectively.The relevant energy consumption of traction is the electric energy that offers trailer system; The relevant energy consumption of non-traction is the electric energy (as shown in Figure 1) that offers backup system.Concrete calculation procedure is as follows:
When train is in traction, cruising phase:
1. calculate the train mechanical output based on data such as train position, speed, quality.
2. determine train transmission efficiency model, calculate the mechanical output of traction electric machine output.
3. determine the traction electric machine efficiency Model, calculate the electric power that offers trailer system.
4. based on each plant capacities of element factor calculation backup system such as rated power, working times.
5. the general power of all consumers is the electric power of backup system.
6. determine respectively traction power supply transformation efficiency model and auxiliary power supply transformation efficiency model.
7. calculate based on the electric power of the electric power of trailer system, backup system and traction power supply transformation efficiency model, auxiliary power supply transformation efficiency model the electric power that electric power system provides.
8. the electric power that provides based on electric power system and the accumulative total energy consumption of calculating train operation working time.
9. calculate the accumulative total energy consumption of train traction based on the electric power of traction power supply transformation efficiency model and trailer system.
10. calculate the accumulative total energy consumption of backup system based on the electric power of auxiliary power supply transformation efficiency model and backup system.
When train is in the coasting stage, do not draw energy consumption, only need calculate the relevant energy consumption of non-traction.
, when train is in the deboost phase,, for the train with regenerative braking capability, need to calculate the regenerated energy that produces in its braking procedure., if on this portion of energy train, vehicle-mounted energy storage device is housed, thereby can store to be used, reduce this train energy consumption.If feeding back to electrical network otherwise rationally utilizes can reduce the energy consumption that whole Rail Transit System is runed.Possess this function owing to only having when the train traction motor, and while allowing this function, could produce regenerated energy.Therefore only calculate the maximum regeneration energy that train can produce in this method, the not actual regenerated energy that produces.The calculation procedure of the maximum regeneration energy that train can produce is as follows:
1. calculate based on data such as train position, speed, quality the power that regenerative braking produces.
2. calculate regenerating braking energy based on braking time and regenerated energy feedback factor.
Fig. 2 is the process flow diagram of a kind of computing method towards urban track traffic single vehicles operation energy consumption provided by the invention.In Fig. 2, a kind of computing method towards urban track traffic single vehicles operation energy consumption, is characterized in that, described method specifically comprises step:
Step 1: determine the train performance parameter, described parameter comprises train weight, train model, train dynamics type, train transmission efficiency, draws electric conversion ratio, resistance coefficient and conversion factor;
Step 2: the quantity of determining train apparatus performance number and each equipment: the quantity of determining air conditioner compressed acc power, guest room air-conditioning power, guest room lighting power, power of traction motor, inverter heat dissipation equipment power, braking resistor ventilation equipment power, other consumer power and each equipment based on each device parameter of train;
Step 3: import the data file that is formed by train speed, position, time and equipment working state multidate information;
Step 4: the current residing state of judgement train, and determine calculative energy consumption; Concrete steps comprise:
Step 401: based on the speed V of the previous moment of train 0, current time speed V 1Obtain current suffered the making a concerted effort of train with train weight M and be worth F 1And direction;
Step 402: the F that makes a concerted effort that obtains the current suffered various resistances of train according to resistance coefficient, train weight M, the gradient, the curvature parameters of train 2
F 2=-f Base-f Slope-f Bent
Wherein, M is train weight; f Base=a+bV 1+ cV 1 2f Slope=iG=igM; A, b, c are respectively resistance coefficient; I is value of slope corresponding to train current time; G is the suffered gravity of train; G is acceleration of gravity, unit: rice/square second; A is experience factor, is constant; R is radius-of-curvature;
Step 403: according to F 1And F 2Magnitude relationship judge the residing state of current train;
A) work as F 1And F 2Identical and the V of direction 1Opposite direction and F 1F 2The time, perhaps work as F 1, F 2, V 1Identical and the F of direction 1<F 2The time, judge that train is in on-position, calculate regenerated energy and backup system energy consumption;
B) and if only if F 1And F 2Identical and the V of direction 1Opposite direction and F 1=F 2The time, judge that train is in the coasting state, calculate the backup system energy consumption;
C) work as F 1And F 2Identical and the V of direction 1Opposite direction and F 1<F 2The time, perhaps work as F 1, F 2, V 1Identical and the F of direction 1F 2The time, perhaps work as F 1And F 2During opposite direction, judge that train is in traction state, calculate traction energy consumption and the backup system energy consumption of train.
Step 5: judge whether to reach the end of the data file that step 3 imports, if so, withdraw from iteration, execution step 6; Otherwise, return to execution step 4;
Step 6: corresponding all energy consumption additions when in step 4, train is in different conditions obtain the total energy consumption in train travelling process.
The computing method of described traction energy consumption are:
(1) train is in traction state in accelerator, and suffered the making a concerted effort of train this moment is worth F 1For:
F 1 = M × V ( t + Δt ) - V ( t ) Δt
Wherein, V (t) is train t speed constantly; V (t+ Δ t) is train t+ Δ t speed constantly; Wherein Δ t is the time of corresponding train status;
Tractive force F T=F 1-F 2The tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system Thereby obtaining traction energy consumption in the train accelerator is J T=P ' T* Δ t;
(2) train is for remaining a constant speed in process at the uniform velocity, and this moment, tractive force equaled resistance, and computing method are F T=F 2=-f Base-f Slope-f BentThe tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system
Figure BDA00003586278600101
Thereby obtain train at the uniform velocity in process the traction energy consumption be J T=P ' T* Δ t.
The process of the calculating of described non-traction energy consumption is:
, based on the electricity consumption situation of each consumer, determine the general power of backup system; Based on auxiliary power supply transformation efficiency μ A, calculate auxiliary power supply power Thereby obtain non-traction energy consumption J A=P ' A* Δ t.
The energy-producing computation process of described regenerative braking is:
At first calculate damping force, its value is for making a concerted effort and the phasor difference of resistance, i.e. f=F 1-F 2Thereby, obtain the damping force power P f=f * V 1Based on regenerated energy feedback factor μ RCan calculate the electric power that regenerative braking produces
Figure BDA00003586278600103
Be J thereby obtain drawing energy consumption f=P f' * Δ t.
Embodiment
Fig. 4 is operational process figure between train station provided by the invention.Provide operational process between train station in Fig. 4, comprised 4 subprocess: accelerated ta i, tr at the uniform velocity i, coasting tt iWith braking td i.Based on moving total energy consumption between said method calculated column station.Below concrete case:
Step 1: gross mass M, the resistance coefficient of determining train are respectively a, b, c;
Step 2: determine the air-conditioning power P Air compressor, air-conditioning quantity N Air compressorGuest room lighting power P The guest room normal illumination, guest room illumination quantity N The guest room normal illuminationPower of traction motor P The traction blower fan, traction electric machine quantity N The traction blower fanInverter heat radiation power P The inverter radiator fan, inverter heat dissipation equipment quantity N The inverter radiator fanBraking resistor ventilating power P The braking resistor draught fan, braking resistor ventilation equipment quantity N The braking resistor draught fanOther consumer power and P Other.
Step 3: train previous moment speed V 0, train current time speed V 1Train previous moment position S 0, train current time displacement S 1Train previous moment time T 0, train current time T 1The value of slope i that the train current time is corresponding.
Step 4: residing state current according to train, even if the energy that needs while obtaining year old corresponding states:
(1) train is in traction state in accelerator
F 1 = M × V ( t + Δt ) - V ( t ) Δt
F 2=-f Base-f Slope-f Bent
Tractive force F T=F 1-F 2The tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system Thereby obtaining traction energy consumption in the train accelerator is J T=P ' T* Δ t;
Non-traction energy consumption is calculated based on the electricity consumption situation of each consumer.Based on auxiliary power supply transformation efficiency μ A, calculate auxiliary power supply power
Figure BDA00003586278600113
Thereby obtain non-traction energy consumption J A=P ' A* Δ t.
(2) train is for remaining a constant speed in process at the uniform velocity, and this moment, tractive force equaled resistance, and computing method are F T=F 2=-f Base-f Slope-f BentThe tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system
Figure BDA00003586278600114
Thereby obtain train at the uniform velocity in process the traction energy consumption be J T=P ' T* Δ t.
(3) train does not apply tractive force and damping force in the coasting process.Therefore only need calculate non-traction energy consumption.Based on auxiliary power supply transformation efficiency μ A, calculate auxiliary power supply power
Figure BDA00003586278600115
Thereby obtain non-traction energy consumption J A=P ' A* Δ t.
(4) train is in on-position in braking procedure, at first calculates regenerating braking energy, and its value is for making a concerted effort and the phasor difference of resistance, i.e. f=F 1-F 2Thereby, obtain the damping force power P f=f * V 1Based on regenerated energy feedback factor μ RCan calculate the electric power that regenerative braking produces
Figure BDA00003586278600121
Be J thereby obtain drawing energy consumption f=P f' * Δ t.Calculate again subsequently non-traction energy consumption.
Wherein, non-traction energy consumption calculation is the cumulative of each consumer, that is: J A=(P The inverter radiator fanN The inverter radiator fanρ Service efficiency+ P The guest room normal illuminationN The guest room normal illuminationρ Service efficiency+ P The traction blower fanN The traction blower fanρ Service efficiency+ P Air-conditioningN Air-conditioningρ Service efficiency+ P The braking resistor draught fanN The braking resistor draught fanρ Service efficiency+ P Other) * Δ t;
Step 5: the total energy consumption in the train traction process is: J=∑ (J T+ J A+ J f).
The above; only for the better embodiment of the present invention, but protection scope of the present invention is not limited to this, anyly is familiar with those skilled in the art in the technical scope that the present invention discloses; the variation that can expect easily or replacement, within all should being encompassed in protection scope of the present invention.Therefore, protection scope of the present invention should be as the criterion with the protection domain of claim.

Claims (5)

1. the computing method towards urban track traffic single vehicles operation energy consumption, is characterized in that considering the train traction power consumption and assist the power consumption process, and described method specifically comprises step:
Step 1: determine the train performance parameter, described parameter comprises train weight, train model, train dynamics type, train transmission efficiency, draws electric conversion ratio, resistance coefficient and conversion factor;
Step 2: the quantity of determining train apparatus performance number and each equipment: the quantity of determining air conditioner compressed acc power, guest room air-conditioning power, guest room lighting power, power of traction motor, inverter heat dissipation equipment power, braking resistor ventilation equipment power, other consumer power and each equipment based on each device parameter of train;
Step 3: import the data file that is formed by train speed, position, time and equipment working state multidate information;
Step 4: the current residing state of judgement train, and determine calculative energy consumption;
Step 5: judge whether to reach the end of the data file that step 3 imports, if so, withdraw from iteration, execution step 6; Otherwise, return to execution step 4;
Step 6: corresponding all energy consumption additions when in step 4, train is in different conditions obtain the total energy consumption in train travelling process.
2. method according to claim 1, is characterized in that, in described step 4, and the current residing state of judgement train, and determine that the detailed process that needs to calculate energy consumption is:
Step 401: based on the speed V of the previous moment of train 0, current time speed V 1Obtain suffered the making a concerted effort of train current time with train weight M and be worth F 1And direction;
Step 402: the F that makes a concerted effort that obtains the current suffered various resistances of train according to resistance coefficient, train weight M, the gradient, the curvature parameters of train 2
F 2=-f Base-f Slope-f Bent
Wherein, M is train weight; f Base=a+bV 1+ cV 1 2f Slope=iG=igM;
Figure FDA00003586278500021
A, b, c are respectively resistance coefficient; I is value of slope corresponding to train current time; G is the suffered gravity of train; G is acceleration of gravity, unit: rice/square second; A is experience factor, is constant; R is radius-of-curvature;
Step 403: according to F 1And F 2Magnitude relationship judge the residing state of current train;
A) work as F 1And F 2Identical and the V of direction 1Opposite direction and F 1F 2The time, perhaps work as F 1, F 2, V 1Identical and the F of direction 1<F 2The time, judge that train is in on-position, calculate regenerated energy and backup system energy consumption;
B) and if only if F 1And F 2Identical and the V of direction 1Opposite direction and F 1=F 2The time, judge that train is in the coasting state, calculate the backup system energy consumption;
C) work as F 1And F 2Identical and the V of direction 1Opposite direction and F 1<F 2The time, perhaps work as F 1, F 2, V 1Identical and the F of direction 1F 2The time, perhaps work as F 1And F 2During opposite direction, judge that train is in traction state, calculate traction energy consumption and the backup system energy consumption of train.
3. method according to claim 2, is characterized in that, the computing method of described traction energy consumption are:
(1) train is in traction state in accelerator, and suffered the making a concerted effort of train this moment is worth F 1For:
F 1 = M × V ( t + Δt ) - V ( t ) Δt
Wherein, V (t) is train t speed constantly; V (t+ Δ t) is train t+ Δ t speed constantly; Wherein Δ t is the time of corresponding train status;
Tractive force F T=F 1-F 2The tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system
Figure FDA00003586278500031
Thereby obtaining traction energy consumption in the train accelerator is J T=P ' T* Δ t;
(2) train is for remaining a constant speed in process at the uniform velocity, and this moment, tractive force equaled resistance, and computing method are F T=F 2=-f Base-f Slope-f BentThe tractive force power P T=F T* V 1Based on transmission efficiency μ T, electric efficiency μ MCan calculate the electric power that offers trailer system
Figure FDA00003586278500032
Thereby obtain train at the uniform velocity in process the traction energy consumption be J T=P ' T* Δ t.
4. method according to claim 2, is characterized in that, the process of the calculating of described non-traction energy consumption is:
, based on the electricity consumption situation of each consumer, determine the general power of backup system; Based on auxiliary power supply transformation efficiency μ A, calculate auxiliary power supply power
Figure FDA00003586278500033
Thereby obtain non-traction energy consumption J A=P ' A* Δ t.
5. method according to claim 2, is characterized in that, the energy-producing computation process of described regenerative braking is:
At first calculate damping force, its value is for making a concerted effort and the phasor difference of resistance, i.e. f=F 1-F 2Thereby, obtain the damping force power P f=f * V 1Based on regenerated energy feedback factor μ RCan calculate the electric power that regenerative braking produces
Figure FDA00003586278500034
Be J thereby obtain drawing energy consumption f=P f' * Δ t.
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