CN105584926A - Energy consumption calculation method of escalator and moving walk - Google Patents

Energy consumption calculation method of escalator and moving walk Download PDF

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Publication number
CN105584926A
CN105584926A CN201510928959.6A CN201510928959A CN105584926A CN 105584926 A CN105584926 A CN 105584926A CN 201510928959 A CN201510928959 A CN 201510928959A CN 105584926 A CN105584926 A CN 105584926A
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load
escalator
centerdot
energy consumption
unit
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CN105584926B (en
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李起耘
仇润鹤
薛季爱
欧阳惠卿
沈建伟
任宇峰
叶炯振
蔡超
刘强
王召东
郑友屹
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Shanghai Pudong New District Special Equipment Supervision And Inspection Institute
Donghua University
National Dong Hwa University
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Shanghai Pudong New District Special Equipment Supervision And Inspection Institute
Donghua University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B66HOISTING; LIFTING; HAULING
    • B66BELEVATORS; ESCALATORS OR MOVING WALKWAYS
    • B66B25/00Control of escalators or moving walkways
    • B66B25/003Methods or algorithms therefor
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02BCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B50/00Energy efficient technologies in elevators, escalators and moving walkways, e.g. energy saving or recuperation technologies

Abstract

The invention relates to the technical field of escalator control, in particular to an energy consumption calculation method of an escalator and a moving walk. Escalator energy consumption E<main> is composed of a handrail part E<handrail>, a step part E<step> and a load part E<load>, and E<main>=E<handrail>+E<step>+E<load>. Under the condition that no load exists, escalator energy consumption is composed of the handrail part and the step part, and E<main-no-load>=E<no-load-handrail>+E<no-load-step>. An energy consumption calculation simulation model of an escalator and moving walk system is built, the power curve and the energy consumption result during running of the escalator and the moving walk are obtained in a theoretical calculation manner, the work load of field measurement is greatly relieved, and great convenience is provided for later energy consumption evaluation work of the escalator and the moving walk.

Description

A kind of escalator and moving sidewalk Calculation Method of Energy Consumption
[technical field]
The present invention relates to escalator control technical field, is the computational methods of a kind of escalator and moving sidewalk energy consumption specifically.
[background technology]
Escalator is to be combined by the rubber conveyer of the chain-linked conveyer of a unique construction pattern and two special construction patterns, escalator is linked together by a series of step and two conduction chains, on by the guide rail of certain line arrangement, move, form escalator Ti road. Upper driving chain sprocket (being main shaft) is connected to obtain power by decelerator etc. with motor, the armrest system of Yu Ti road synchronous operation is equipped with in handrail both sides, and for the use of passenger handrails, armrest system is equally by above-mentioned Motor Drive. Escalator is mainly, by drive unit, power is passed to terraced road system and handrail system.
Armrest system is made up of handrail drive system, handrail adhesive tape, railing etc., and armrest system is the rubber conveyer that is contained in two unique construction forms of escalator stair both sides. Conventional handrail system has two kinds of structural shapes, and a kind of friction pulley that is tradition is used drives pattern, and another kind is that pressing roller drives pattern. Escalator is in no-load running situation, and the energy is mainly consumed in and overcomes the running resistance of terraced road system and the running resistance of handrail system, and wherein unloaded handrail running resistance duty carries 80% left and right of total running resistance. Hence one can see that: reduce handrail running resistance, especially no-load running resistance, can reduce significantly energy resource consumption.
The step He Ti road components of system as directed of escalator: mainly formed by step, step driving chain, step rail, the driving of terraced road and tensioning apparatus and skirt panel. Wheel shaft and the conduction chain of the main wheel of step are hinged, jockey pulley wheel shaft is not connected with conduction chain, all step is by moving on the step rail of arranging according to certain rules, operating in of ladder road needs motor transferring energy to make step operation to drive unit, so step He Ti road components of system as directed energy consumption is a part of escalator energy consumption.
Hence one can see that, the energy consumption Component of escalator mainly: main drive system energy consumption (comprising handrail system energy consumption, stepped system energy consumption, conveying people energy consumption) and control system energy consumption (being auxiliary equipment) composition. Escalator is owing to will meeting the structure building of different buildings, so hoisting depth, length and angle of inclination can respective change. From basic physical principle, hoisting depth, length are one of reason that different escalator handrail systems are different with stepped system energy consumption from the variation at angle of inclination, and make the handrail system of the escalator in different buildings different with the energy consumption of stepped system. And the electric power energy consumption of control system is a relatively-stationary value, so in the energy consumption that will consider emphatically handrail system and stepped system aspect Energy Consumption Factors analysis.
In addition, the staircase speed of service of different occasions and loaded state all can be different, such as the escalator that participates in communications and transportation may have speed faster than the escalator in megastore; The different energy consumptions of escalator load every day of different people current density also can correspondingly change to some extent, so one of compositing factor that velocity variations is also energy consumption to be changed. On-the-spot escalator and moving sidewalk energy consumption measurement are very hard works, especially load, unload, and constantly travel, stop process, loaded down with trivial details in the extreme.
[summary of the invention]
Because China does not also have an evaluation cover system, complete and test system, and lack analysis and the research to escalator and moving sidewalk energy consumption composition and influence factor under different situation conditions, so the object of the invention is for escalator and moving sidewalk operation energy consumption present situation, set up Calculation Method of Energy Consumption and the model of escalator and automatic sidewalk.
For above-mentioned purpose, design a kind of escalator and moving sidewalk Calculation Method of Energy Consumption, escalator energy consumption EmainBy armrest portion Ehandtrial, step part EstepWith load EloadThree part compositions, and Emain=Ehandtrial+Estep+Eload, wherein,
Load energy consumption E when staircase is uploadFor:
E l o a d = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; + N &CenterDot; m &CenterDot; g &CenterDot; cos &alpha; &CenterDot; L &prime; &CenterDot; &mu; 3.6 &times; 10 6 &times; &eta; = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; + N &CenterDot; m &CenterDot; g &CenterDot; cos &alpha; &CenterDot; H sin &alpha; &CenterDot; &mu; 3.6 &times; 10 6 &times; &eta; = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; ( 1 + &mu; tan &alpha; ) - - - ( 1 )
Load energy consumption E when staircase is descendingloadFor:
E l o a d = N &CenterDot; m &CenterDot; g &CenterDot; H &CenterDot; &eta; 3.6 &times; 10 6 ( - 1 + &mu; tan &alpha; ) - - - ( 2 )
In formula: α is angle of inclination; Unit is degree; T is the time, and unit is second; N is passengers quantity; M is passenger's quality, and unit is kg; G is acceleration of gravity, and unit is m/s2; H is hoisting depth, and unit is m; μ is coefficient of friction; η is efficiency;
When in no-load situation, elevator energy consumption is made up of armrest portion and step part:
Emain-no-load=Eno-load-handtrial+Eno-load-step(3)
Because the energy consumption of unit interval is constant, establishing the escalator operation time is t, and under no-load, handrail Partial Power is Pno_load_handrail, no-load lower step Partial Power is Pno_load_step, and Eno_load_handrail=t·Pno_load_handrail;Eno_load_step=t·Pno_load_step, formula (3) is transformed to
Pmain_no_load=Pno_load_handrail+Pno_load_step/pallet(4)
No-load handrail Partial Power Pno_load_handrailComputing formula is
P n o _ l o a d _ h a n d r a i l = 2 &times; c o s &alpha; &times; ( A &times; H tan &alpha; + B ) &times; v 1000 &times; &eta; n o _ l o a d &lsqb; k W &rsqb; - - - ( 5 )
No-load lower step Partial Power is Pno_load_stepComputing formula be
P n o _ l o a d _ s t e p \ p e l l e t = &lsqb; 2 &times; ( m S B / P B 0.425 &lsqb; m &rsqb; + 2 &times; m c h a i n ) &times; 9.8 &lsqb; m / s 2 &rsqb; 1000 &times; &mu; S B / P B &times; H tan &alpha; + C &rsqb; &times; v &eta; n o - l o a d &lsqb; k W &rsqb; - - - ( 6 )
In formula: A is the component in the handrail horizontal direction in unit length, and unit is N/m; B is the constant of handrail horizontal direction upper pulling force, and unit is N; C is the constant part of step band reversal interlocking relay, and unit is kN; α is the maximum horizontal angle (angle of inclination) of step, pedal or tape movement, and unit is degree; H is the vertical range (hoisting depth) between upper and lower floor, and unit is m; V is the nominal speed (speed) of escalator or moving sidewalk, and unit is m/s; ηnoloadFor the efficiency of Light Condition; mSB/PBFor the quality of step/pedal, unit is kg; mchainFor chain quality, unit is kg/m; μSB/PBFor the coefficient of friction of step/pedal;
To in concrete numerical value substitution formula (5) and formula (6), carry out abbreviation, then by the formula after abbreviation (5), (6) substitution formula (4), and taken the logarithm in formula (4) both sides, can draw the natural logrithm of three variablees under idling and power logarithm be linear and relation, use thus multiple linear regression model to carry out quantitative analysis to escalator efficiency.
The multiple linear regression model that escalator efficiency under no-load condition is carried out to quantitative analysis is as follows: being provided with multiple linear regression model is
y=b1x1+b2x2+...+bpxp+ε(7)
In formula: ε=N (0, σ2), random error obedience average is 0, variance is σ2Normal distribution,
Make β=(b1,b2,...,bp)T,x=(x0,x1,...,xp), (8) formula is expressed as
y=xβ+ε(8)
Obtain thus y and x0,x1,...xpN group observations,
In conjunction with the model of multiple linear regression, energy consumption problem in no-load situation is converted to the multiple linear regression problem of power and three variablees, set up multiple regression equation simultaneously
lnP=β01lnx12lnx23lnx3+ε(9)
In formula: x1For speed of service v; x2For inclination angle cosine cos α; x3For staircase length l=H/tan α; ε is stochastic error, obeys ε~N (0, σ2);β0For the regression constant item of model correction, without practical significance, β1、β2、β3Be respectively partial regression coefficient, be illustrated in the constant situation of other physical quantitys, unit quantity of its every increase, energy consumption the corresponding numerical value increasing.
The computational methods of escalator and moving sidewalk energy consumption also comprise the multiple linear regression model that solves escalator efficiency, obtain model parameter by the difference that reduces variation and predicted value, will survey respectively speed v, angle of inclination cosine cos α, staircase length l=H/tan α and performance number Pmain_no_loadThe logarithm value substitution lnP=β of measurement numerical value01lnx12lnx23lnx3+ ε, by the principle of least square, makes the quadratic sum minimum of residual error, finally obtains the partial regression coefficient β of model1、β2、β3, in Matlab, by least square method, model is analyzed, obtain power calculation value, draw error with known power test value contrast simultaneously.
Build the energy consumption calculation model of escalator according to Calculation Method of Energy Consumption, comprise load change signal source, threephase asynchronous, frequency converter, oscillograph and realtime power display, wherein load change signal source simulation escalator load change, the threephase asynchronous of threephase asynchronous simulation escalator, wherein having one of three input is load torque, inputted as motor torque value three phase place inputs that another three inputs are motor by load change signal source; Frequency converter simulation escalator motor frequency change module, as the frequency conversion input of threephase motor element, by the effect of frequency conversion subsystem, arrives threephase asynchronous in three phase places of different time points output different frequency, plays frequency conversion effect; Oscillograph is for the observation to stator current and rotor current variation; Realtime power display is for exporting the realtime power value after calculating; By the setting parameter of the energy consumption calculation model to escalator and the input in load signal source, obtain under different parameters, the calculated value of escalator energy consumption when different loads value.
The present invention has set up the energy consumption calculation simulation model of escalator with automatic sidewalk, the mode of calculating by theory obtains escalator and the operating power curve of moving sidewalk and energy consumption result, greatly alleviate the workload of in-site measurement, also for escalator and the Energy Consumption Evaluation work of automatic People's Bank of China later provides great convenience.
[detailed description of the invention]
The invention will be further described below, and this method and principle are very clearly concerning this professional people. Should be appreciated that specific embodiment described herein, only in order to explain the present invention, is not intended to limit the present invention.
Embodiment 1
Escalator energy consumption EmainMainly by armrest portion Ehandtrial, step part EstepWith load EloadThree part compositions, and Emain=Ehandtrial+Estep+Eload, wherein,
The weight of load to guide rail: Nmg
The normal pressure of load to guide rail: Nmgcos α
Load frictional force: Nmgcos α μ
Friction working: the Nmgcos α μ L'(length that wherein L' is guide rail)
Load energy consumption E when staircase is uploadFor: required electric energy=overcome gravity acting+overcome friction acting
E l o a d = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; + N &CenterDot; m &CenterDot; g &CenterDot; cos &alpha; &CenterDot; L &prime; &CenterDot; &mu; 3.6 &times; 10 6 &times; &eta; = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; + N &CenterDot; m &CenterDot; g &CenterDot; cos &alpha; &CenterDot; H sin &alpha; &CenterDot; &mu; 3.6 &times; 10 6 &times; &eta; = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; ( 1 + &mu; tan &alpha; ) - - - ( 1 )
Wherein:
For overcoming gravity acting (η is the conversion efficiency that electric energy arrives mechanical energy)
For overcoming the friction working (η is the conversion efficiency that electric energy arrives mechanical energy, and μ is coefficient of friction) because load increases
Load energy consumption E when staircase is descendingloadFor: the gravity acting (being generating state, is not to consume electric energy) of load, its power consumption is:
E l o a d = N &CenterDot; m &CenterDot; g &CenterDot; H &CenterDot; &eta; 3.6 &times; 10 6 ( - 1 + &mu; tan &alpha; ) - - - ( 2 )
In formula: α is angle of inclination; Unit is degree; T is the time, and unit is second; N is passengers quantity; M is passenger's quality, and unit is kg; G is acceleration of gravity, and unit is m/s2; H is hoisting depth, and unit is m; μ is coefficient of friction; η is efficiency;
The electric power energy consumption of control system is a relatively-stationary value, so in the energy consumption that will consider emphatically handrail system and stepped system aspect Energy Consumption Factors analysis, when in no-load situation, elevator energy consumption is made up of armrest portion and step part:
Emain-no-load=Eno-load-handtrial+Eno-load-step(3)
Because the energy consumption of unit interval is constant, can calculate its energy consumption by the power of step part and armrest portion. If the escalator operation time is t, under no-load, handrail Partial Power is Pno_load_handrail, no-load lower step Partial Power is Pno_load_step, and Eno_load_handrail=t·Pno_load_handrail;Eno_load_step=t·Pno_load_step, formula (3) is transformed to
Pmain_no_load=Pno_load_handrail+Pno_load_stp/pallet(4)
No-load handrail Partial Power Pno_load_handrailComputing formula is
P n o _ l o a d _ h a n d r a i l = 2 &times; c o s &alpha; &times; ( A &times; H tan &alpha; + B ) &times; v 1000 &times; &eta; n o _ l o a d &lsqb; k W &rsqb; - - - ( 5 )
No-load lower step Partial Power is Pno_load_stepComputing formula be
P n o _ l o a d _ s t e p \ p e l l e t = &lsqb; 2 &times; ( m S B / P B 0.405 &lsqb; m &rsqb; + 2 &times; m c h a i n ) &times; 9.8 &lsqb; m / s 2 &rsqb; 1000 &times; &mu; S B / P B &times; H tan &alpha; + C &rsqb; &times; v &eta; n o - l o a d &lsqb; k W &rsqb; - - - ( 6 )
In formula: A is the component in the handrail horizontal direction in unit length, and unit is N/m; B is the constant of handrail horizontal direction upper pulling force, and unit is N; C is the constant part of step band reversal interlocking relay, and unit is kN; α is the maximum horizontal angle (angle of inclination) of step, pedal or tape movement, and unit is degree; H is the vertical range (hoisting depth) between upper and lower floor, and unit is m; V is the nominal speed (speed) of escalator or moving sidewalk, and unit is m/s; ηnoloadFor the efficiency of Light Condition; mSB/PBFor the quality of step/pedal, unit is kg; mchainFor chain quality, unit is kg/m; μSB/PBFor the coefficient of friction of step/pedal; The variable that affects Energy Consumption Factors is tilt angle alpha, hoisting depth H, and tri-variablees of speed of service v.
Measure escalator each numerical value of different periods, in table 1, table 1 is parameter empirical value table, escalator speed in table 1 is less than in numerical value substitution formula (5) in the situation of 0.65m/s and formula (6) and carries out abbreviation, then by the formula after abbreviation (5), (6) substitution formula (4), and taken the logarithm in formula (4) both sides, can obtain:
lnPmain_no_load=lnv+ln(0.06cosα+0.089)+ln(l+1)
In formula: staircase length l=H/tan α
By in above formula, can find out the natural logrithm of three variablees under idling and power logarithm be linear and relation, can use thus multiple linear regression model to carry out quantitative analysis to it.
Table 1 parameter empirical value table
Table 1
Because the drive unit active force of escalator derives from three-phase alternating-current motor, escalator type of drive, speed etc. have with motor and directly contact, and the variation of its load also can produce directly impact, the energy consumption calculation model of building escalator to motor consumption.
Load change signal source: simulation escalator load change;
Threephase asynchronous: the threephase asynchronous of simulation escalator, wherein has one of three input to be inputted as motor torque value by load change signal source for load torque, three phase place inputs that another three inputs are motor;
Frequency converter: simulation escalator motor frequency change module, as the frequency conversion input of threephase motor element. By the effect of frequency conversion subsystem, arrive threephase asynchronous in three phase places of different time points output different frequency, play frequency conversion effect;
Output:
1) oscillograph: for the observation to stator current and rotor current variation;
2) realtime power display: for exporting the realtime power value after calculating.
The basic parameter of threephase asynchronous is set as to rated power PN=7.5kw, rated voltage UN=400V, nominal operation frequency is 50Hz, rated speed is nN=1440 (r/min), the frequency conversion of frequency conversion subsystem is output as 50Hz, at PN(kw) be rated power, nN(r/min) be in rated speed situation, nominal torque Tn=PN/nN
From the mechanical property of three-phase AC asynchronous motor, fix in stator voltage, frequency and other parameters, and load is while constantly changing load torque TmWith load mloadBetween existence function relation:
Tm=mload·g·d(N·m)
In formula: Tm=mloadGd (Nm) is acceleration of gravity, and d=0.0086m is sprocket diameter, and unit is Nm.
Load torque when table 2 is different loads.
Table 2
Load percentage (100%) Load M (kg) Load torque Tm (N*m)
1 0% 0% 0
2 2%(70kg) 70 5.8996
3 3%(105kg) 105 8.8494
4 4%(140kg) 140 11.7992
5 5%(175kg) 175 14.749
6 10%(348kg) 348 29.32944
7 15%(522kg) 522 43.99416
8 20%(695kg) 695 58.5746
9 25%(872kg) 872 73.49216
10 30%(1047kg) 1047 88.24116
11 35%(1218kg) 1218 102.65304
12 40%(1398kg) 1398 117.82344
13 50%(1740kg) 1740 146.6472
14 60%(2091kg) 2091 176.22948
15 70%(2439kg) 2439 205.55892
16 80%(2787kg) 2787 234.88836
Under chain drive state, the discussion of energy consumption of electrical machinery mainly concentrates on motor lines voltage and line current, the relation of torque and load discussed. Table 3 is the relation between power of motor, load, torque, stator current.
Table 3 is load variations impacts on power of motor
Table 3
Power of motor Load Torque Stator current Rotating speed Resistance distance
Increase Increase Increase Increase Reduce Increase
Reduce Reduce Reduce Reduce Increase Reduce
From motor characteristic, stator current is the electric current for exporting, and the in the situation that of load variations, stator current can change accordingly, and power also can change accordingly simultaneously. This shows, in the time that load increases, stator current increases, and corresponding power of motor increases; When load reduces, electric current is corresponding to be reduced, power reduction.
The calculating of model:
By the input in the setting parameter to escalator computation model and load signal source, can obtain under different parameters, the calculated value of escalator energy consumption when different loads value.
Three-phase alternating-current motor generally adopts wye connection, and so, the pass of motor power (output) and electric current is:
In addition, each motor has inevitable loss in electric energy converts the process of mechanical energy to, need to be at power external reservoir with a power factor (PF) η, and according to general design η=0.78 of motor, can obtain rating formula and be:
Its neutral voltage does not become 380V, and line current is along with the difference of load changes to some extent, and its numerical value can be read in ammeter from motor model, and by calculating, can obtain table 4 has power energy consumption calculation value under load.
Table 4 has power energy consumption calculation value under load
Table 4
Escalator Energy Efficiency Analysis under multivariate regression models
1) model is set up
Being provided with multiple linear regression model is
y=b1x1+b2x2+...+bpxp+ε(7)
In formula: ε=N (0, σ2), random error obedience average is 0, variance is σ2Normal distribution.
Make β=(b1,b2,...,bp)T,x=(x0,x1,...,xp), (7) formula is expressed as
y=xβ+ε(8)
Obtain thus y and x0,x1,...xpN group observations.
In conjunction with the model of multiple linear regression, energy consumption problem in no-load situation can be converted to the multiple linear regression problem of power and three variablees, set up multiple regression equation simultaneously
lnP=β01lnx12lnx23lnx3+ε(9)
In formula: x1For speed of service v; x2For inclination angle cosine cos α; x3For staircase length l=H/tan α; ε is stochastic error, obeys ε~N (0, σ2);β0For the regression constant item of model correction, without practical significance, β1、β2、β3Be respectively partial regression coefficient, be illustrated in the constant situation of other physical quantitys, unit quantity of its every increase, energy consumption the corresponding numerical value increasing. For the general applicability of verification model, adopt under different application occasion, the actual test data of escalator is verified.
Solve regression model, obtain model parameter by minimizing is variation with difference predicted value. Particularly, will survey respectively speed v, angle of inclination cosine cos α, staircase length l=H/tan α and performance number Pmain_no_loadThe logarithm value of measurement numerical value bring equation (9) into, by the principle of least square, make the quadratic sum minimum of residual error, finally obtain the partial regression coefficient β of model1、β2、β3. In Matlab, by least square method, model is analyzed, can find out by model result, hoisting depth has played the most significant function for escalator increased power, is secondly speed, according to model formation, bring angle, length, these three test values of speed into calculating.

Claims (4)

1. escalator and a moving sidewalk Calculation Method of Energy Consumption, is characterized in that escalator energy consumption EmainByArmrest portion Ehandtrial, step part EstepWith load EloadThree part compositions, andEmain=Ehandtrial+Estep+Eload, wherein,
Load energy consumption E when staircase is uploadFor:
E l o a d = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; + N &CenterDot; m &CenterDot; g &CenterDot; cos &alpha; &CenterDot; L &prime; &CenterDot; &mu; 3.6 &times; 10 6 &times; &eta; = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; + N &CenterDot; m &CenterDot; g &CenterDot; cos &alpha; &CenterDot; H sin &alpha; &CenterDot; &mu; 3.6 &times; 10 6 &times; &eta; = N &CenterDot; m &CenterDot; g &CenterDot; H 3.6 &times; 10 6 &times; &eta; ( 1 + &mu; tan &alpha; ) - - - ( 1 )
Load energy consumption E when staircase is descendingloadFor:
F l o a d = N &CenterDot; m &CenterDot; g &CenterDot; H &CenterDot; &eta; 3.6 &times; 10 6 ( - 1 + &mu; tan &alpha; ) - - - ( 2 )
In formula: α is angle of inclination; Unit is degree; T is the time, and unit is second; N is passengers quantity; M isPassenger's quality, unit is kg; G is acceleration of gravity, and unit is m/s2; H is hoisting depth, unitFor m; μ is coefficient of friction; η is efficiency;
When in no-load situation, elevator energy consumption is made up of armrest portion and step part:
Emain-no-load=Eno-load-handtrial+Eno-load-step(3)
Because the energy consumption of unit interval is constant, establishing the escalator operation time is t, handrail under no-loadPartial Power is Pno_load_handrail, no-load lower step Partial Power is Pno_load_step, and Eno_load_handrail=t·Pno_load_handrail;Eno_load_step=t·Pno_load_step, formula (3) is transformed to
Pmain_no_load=Pno_load_handtrial+Pno_load-step/pallet(4)
No-load handrail Partial Power Pno_load_handrailComputing formula is
P n o _ l o a d _ h a n d r a i l = 2 &times; c o s &alpha; &times; ( A &times; H tan &alpha; + B ) &times; v 1000 &times; &eta; n o _ l o a d &lsqb; k W &rsqb; - - - ( 5 )
No-load lower step Partial Power is Pno_load_stepComputing formula be
P n o _ l o a d _ s t e p / p a l l e t = &lsqb; 2 &times; ( m S P / P B 0.405 &lsqb; m &rsqb; + 2 &times; m c h a i n ) &times; 9.8 &lsqb; m / s 2 &rsqb; 1000 &times; &mu; S B / P B &times; H t a n &alpha; + C &rsqb; &times; v &eta; n o _ l o a d &lsqb; k W &rsqb; - - - ( 6 )
In formula: A is the component in the handrail horizontal direction in unit length, and unit is N/m; B is handrailWith the constant of horizontal direction upper pulling force, unit is N; C is the constant part of step band reversal interlocking relay, singlePosition is kN; α is the maximum horizontal angle (angle of inclination) of step, pedal or tape movement, and unit isDegree; H is the vertical range (hoisting depth) between upper and lower floor, and unit is m; V be escalator orThe nominal speed (speed) of moving sidewalk, unit is m/s; ηnoloadFor the efficiency of Light Condition;mSB/PBFor the quality of step/pedal, unit is kg; mchainFor chain quality, unit is kg/m;μSB/PBFor the coefficient of friction of step/pedal;
To in concrete numerical value substitution formula (5) and formula (6), carry out abbreviation, then by the formula after abbreviation (5), (6)Substitution formula (4), and taken the logarithm in formula (4) both sides, can draw under idling three variablees fromSo logarithm and power logarithm be linearity and relation, use thus multiple linear regression model to escalatorEfficiency is carried out quantitative analysis.
2. a kind of escalator as claimed in claim 1 and moving sidewalk Calculation Method of Energy Consumption, is characterized in thatThe multiple linear regression model that escalator efficiency under no-load condition is carried out to quantitative analysis is as follows:
Being provided with multiple linear regression model is
y=b1x1+b2x2+...+bpxp+ε(7)
In formula: ε=N (0, σ2), random error obedience average is 0, variance is σ2Normal distribution,
Make β=(b1,b2,...,bp)T,x=(x0,x1,...,xp), (8) formula is expressed as
y=xβ+ε(8)
Obtain thus y and x0,x1,...xpN group observations,
In conjunction with the model of multiple linear regression, convert energy consumption problem in no-load situation to power and three variableesMultiple linear regression problem is set up multiple regression equation simultaneously
lnP=β01lnx12lnx23lnx3+ε(9)
In formula: x1For speed of service v; x2For inclination angle cosine cos α; x3For staircase length l=H/tan α; ε isStochastic error, obeys ε~N (0, σ2);β0For the regression constant item of model correction, without practical significance, β1、β2、β3Be respectively partial regression coefficient, be illustrated in the constant situation of other physical quantitys, unit quantity of its every increase,Energy consumption the corresponding numerical value increasing.
3. a kind of escalator as claimed in claim 1 and moving sidewalk Calculation Method of Energy Consumption, is characterized in thatThe computational methods of escalator and moving sidewalk energy consumption also comprise the polynary line that solves escalator efficiencyProperty regression model, obtain model parameter by the difference that reduces variation and predicted value, respectively will realitySurvey speed v, angle of inclination cosine cos α, staircase length l=H/tan α and performance number Pmain_no_loadSurveyThe logarithm value substitution lnP=β of numerical quantity01lnx12lnx23lnx3+ ε, by the principle of least square,Make the quadratic sum minimum of residual error, finally obtain the partial regression coefficient β of model1、β2、β3, in MatlabBy least square method, model is analyzed, obtained power calculation value, simultaneously with known power test valueContrast draws error.
4. a kind of escalator as claimed in claim 1 and moving sidewalk Calculation Method of Energy Consumption, is characterized in thatBuild the energy consumption calculation model of escalator according to Calculation Method of Energy Consumption, comprise load change signal source, threePhase asynchronous motor, frequency converter, oscillograph and realtime power display, wherein load change signal source mouldIntend escalator load change, the threephase asynchronous of threephase asynchronous simulation escalator, itsIn have one of three input for load torque, inputted as motor torque by load change signal sourceValue, three phase place inputs that another three inputs are motor; Frequency converter simulation escalator motor frequency changeModule, as the frequency conversion input of threephase motor element, by the effect of frequency conversion subsystem, in the time of differenceBetween three phase places of some output different frequency to threephase asynchronous, play frequency conversion effect; Oscillograph is usedIn the observation to stator current and rotor current variation; Realtime power display is for exporting the reality after calculatingTime performance number; Setting parameter by the energy consumption calculation model to escalator and load signal source defeatedEnter, obtain under different parameters, the calculated value of escalator energy consumption when different loads value.
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