CN109829219A - Continuous rolling mill roller speed change energy flow model and tandem mill energy flow model modeling method - Google Patents
Continuous rolling mill roller speed change energy flow model and tandem mill energy flow model modeling method Download PDFInfo
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Abstract
The present invention provides a kind of tandem mill energy flow model modeling method, modeling method of the invention is for the five frame connection rolling machine unit controlled in certain cold rolling mill pickling-tandem rolling producing line by variable-frequency motor, the theoretical method of energy stream is utilized, according to the characteristic and operation mechanism of output power, the energy output of five frame connection rolling machine is divided into the power P for being used for rolling mill practicez, roll speed change energy consumption power Pg, axle journal and bearing friction loss power Pf1With the power P of transmission mechanism friction lossf2, the input power of milling train is equal to the sum of four output powers.According to the physics and mechanical relationship between each output power and technological parameter, the equilibrium equation between output power and corresponding technological parameter is established.The model established provides basis for the case where assessing milling train energy consumption, for the research of subsequent cold rolling energy optimization.The power module explicit physical meaning, simple and reasonable for structure that the method for the present invention is established, can also be applied to singlestandmill power calculation.
Description
Technical field
The present invention relates to the energy optimization technical field of cold mill complex milling train more particularly to a kind of continuous rolling mill roller speed change energy
Measure flow model and tandem mill energy flow model modeling method.
Background technique
Cold rolling production is important industry in China's manufacturing industry, and the light sheet products of cold rolling are used for manufacturing many fields.By
In cold-rolling equipment enlargement, cold-rolled products yield is huge, and the energy of consumption is also surprising, and the energy consumption problem of cold-rolling process is very prominent
Out.As China increasingly focuses on energy-saving and emission-reduction, energy consumption is reduced, the energy-saving and emission-reduction task of cold rolling process, which is faced with, seriously chooses
War.The terminal process that cold-rolling process is produced as steel, what is paid close attention to for a long time is always to refer at quality and delivery date of product etc.
Mark, energy consumption are seldom concerned.Five frame connection rolling machine is that the maximum equipment of consumption electric energy and energy-saving potential are maximum in cold rolling production
Equipment.The energy-saving research of five frame connection rolling machine has a very important significance.Traditional energy flow model is that one kind is
The modeling method of description and assessment numerically-controlled machine tool system of processing energy consumption.Application No. is the utilizations of 201410524619.2 patent
The theory of energy stream, the power module for establishing numerical control machine tool cutting process of system, mean error only have 1.3%.Acid rolls production
The five frame connection rolling machine and numerically-controlled machine tool of line are all variable-frequency motor drive control machine, and parameter and the energy consumption of process have close
The relationship cut.The rated power of five frame connection rolling machine is bigger, according to the data that certain cold rolling mill provides, the capacity motor of a milling train
It can achieve 5250kW, and the rated power of a numerically-controlled machine tool is usually 7~12 kilowatts.The theoretical method of energy stream can also be with
For five frame connection rolling machine.Application No. is 201410487219.9 patents, according to energy flow model, to numerical control machine tooling
The cutting parameter of journey is optimized, and improves energy efficiency.According to existing document and Patent, there is presently no adopt
Cold mill complex power module is established with energy stream, to be described and assess to energy consumption, and carries out energy saving optimizing research.
Most equipment application No. is 201610487049.3 patent for whole pickling continuous rolling production line carries out
Modeling power, and need to consume thermal power for acid rolls producing line descaling bath, it establishes the acid that electrical power is coupled with thermal power and rolls
Producing line power module.In five frame connection rolling machine power module, the tension in the operation of rolling is also influence of rolled technique power
One important parameter.But the five frame connection rolling machine model of cold mill complex power module described in the patent, it does not embody and opens
The influence relationship of power and rolling power.In cold rolling process, since the weld seam between adjacent two coiled strip steel passes through milling train
When, roll needs to slow down, while the description of coil of strip is very more, the frequent progress speed change of roll needs, and roll sheet
Body has biggish quality and rotary inertia, therefore the kinetic energy of roll speed change consumption be can not ignore, and five racks in the patent
Tandem mill power module does not account for this factor.Therefore, the five frame connection rolling machine model of above-mentioned patent notes exists centainly
Shortcoming.
Summary of the invention
In view of this, the embodiment provides a kind of continuous rolling mill roller speed change energy flow model and tandem mill energy
Flow model modeling method, for making up the deficiencies in the prior art.
The embodiment of the present invention provides a kind of continuous rolling mill roller speed change energy flow model modeling method, includes the following steps:
A1: roll electrical power model is constructed to each of tandem mill roll, which includes single
The roll kinetic energy P of roll speed change consumptiongi,PgiCalculation formula be
Wherein, the end of roll is axle journal, and roll is rotatably fixed in bearing by axle journal, i integer, PgiIt is i-th
The density of a roll, LgiFor the length of i-th of roll, RgiFor the radius of i-th of roll, LjiFor the length of the axle journal of i-th of roll
Degree, RjiFor the axle journal radius of i-th of roll, αiAngular acceleration when for i-th of roll speed change, niFor the revolving speed of i-th of roll；
A2: the roll kinetic energy and P of all roll speed change consumption in tandem mill are calculatedg, obtain continuous rolling mill roller speed change energy
Flow mould.
The embodiment of the present invention provides a kind of tandem mill energy flow model modeling method, includes the following steps:
B1: tandem rolling electric power model, the tandem rolling electric power model packet are constructed to the tandem mill in pickling-tandem rolling producing line
The calculation formula for including the input power P, P of tandem mill is
P=Pz+Pg+Pf1+Pf2
Wherein, PzFor power needed for continuous mill rolling process, PgFor the roll kinetic energy of roll speed changes all in tandem mill consumption
With Pf1For the power of axle journals and bearing friction loss all in tandem mill, Pf2It is damaged for rolls all in tandem mill and strip friction
The power of mistake；The roll kinetic energy of single roll speed change consumption is P in tandem millgi,
The end of roll is axle journal, and roll is rotatably fixed in bearing by axle journal, and N is the total of roll in tandem mill
Number, i integer, PgiFor the density of i-th of roll, LgiFor the length of i-th of roll, RgiFor the radius of i-th of roll, LjiIt is i-th
The length of the axle journal of a roll, RjiFor the axle journal radius of i-th of roll, αiAngular acceleration when for i-th of roll speed change, niFor
I-th of roller revolving speed rolled；
B2: thermal power model is established to descaling bath in pickling-tandem rolling producing line, couples tandem rolling electric power model and thermal power
Model obtains tandem mill energy flow model.
Further, PzCalculation formula are as follows:
Wherein,Average unit pressure when being rolled for kth platform tandem mill,Front and back band steel is rolled for kth platform tandem mill
Mean breadth, ψ be kth platform tandem mill rolling fore arm coefficient, R be tandem mill roll radius, all rolls have phase
Same radius, c are coefficient related with tandem mill technique, n0For continuous rolling mill roller revolving speed, h0For the initial rolling thickness of tandem mill, h
Go out thickness when milling train for strip, η is the efficiency that tandem mill output power of motor passes to milling train, and Δ h is the pressure of tandem mill rolling
Lower amount.
Further, Pf1Calculation formula are as follows:
Wherein F is the roll-force of single roll, d1For journal diameter, d1=2R, f are coefficient of friction, and the roll has phase
Same coefficient of friction, n1It is total work rate coefficient.
Further, Pf2Calculation formula are as follows:
n2It is total work rate coefficient
Further, total work rate coefficient is equal to 2.
The technical solution that the embodiment of the present invention provides has the benefit that
1. the present invention is directed to pickling-tandem rolling producing line five frame connection rolling machine of cold-rolling process, power input output is carried out
Analysis, establishes electrical power model, solves current cold rolling producing line and lack the model of energy efficiency evaluation, and solve existing milling train
Deficiency existing for model provides theoretical basis for subsequent efficiency optimizing research.
2. equal with the power that unit exports according to the power for being input to unit present invention uses the theory of energy stream
Principle decomposes the power output of each unit, establishes equilibrium equation related with technological parameter respectively, obtains power
Model.
3. the tandem mills power module established using the method for the present invention need to only provide size of strip etc. in contract and join
Number, power needed for being quickly obtained processing have certain predicting function in production.
4. since the roll kinetic energy of roll speed change consumption is to continuous rolling mill roller speed change energy flow model and tandem mill energy stream
Model modeling has large effect, and existing power module does not account for the roll kinetic energy of roll speed change consumption, this hair
Bright point for compensating for the prior art is insufficient, models the tandem mill energy flow model of building closer to practical condition and more
With reference, guiding value.
Detailed description of the invention
Parameter, Δ h (drafts) and power (energy consumption) in Fig. 1 to Fig. 2 tandem mill energy flow model modeling method of the present invention
Between relational graph；
Fig. 2 is the parameter n in tandem mill energy flow model modeling method of the present invention0(mill speed) and power (energy consumption) it
Between relational graph；
Fig. 3 is iterative process figure.
Specific embodiment
To make the object, technical solutions and advantages of the present invention clearer, below in conjunction with attached drawing to embodiment party of the present invention
Formula is further described.
The embodiment provides a kind of continuous rolling mill roller speed change energy flow model modeling methods, including walk as follows
It is rapid:
A1: roll electrical power model is constructed to each of tandem mill roll, which includes single
The roll kinetic energy P of roll speed change consumptiongi,PgiCalculation formula be
Wherein, i integer, PgiFor the density of i-th of roll, LgiFor the length of i-th of roll, RgiIt is the half of i-th of roll
Diameter, LjiFor the length of the axle journal of i-th of roll, RjiFor the axle journal radius of i-th of roll, αiAngle when for i-th of roll speed change
Acceleration, niFor the revolving speed of i-th of roll.
A2: the roll kinetic energy and P of all roll speed change consumption in tandem mill are calculatedg, obtain continuous rolling mill roller speed change energy
Flow mould.
The embodiments of the present invention also provide a kind of tandem mill energy flow model modeling methods, include the following steps:
B1: tandem rolling electric power model, the tandem rolling electric power model packet are constructed to the tandem mill in pickling-tandem rolling producing line
The calculation formula for including the input power P, P of tandem mill is
P=Pz+Pg+Pf1+Pf2
Wherein, PzFor power needed for continuous mill rolling process, PgFor the roll kinetic energy of roll speed changes all in tandem mill consumption
With Pf1For the power of axle journals and bearing friction loss all in tandem mill, Pf2It is damaged for rolls all in tandem mill and strip friction
The power of mistake.
From the foregoing, it can be understood that the roll kinetic energy of roll speed change consumption single in tandem mill is Pgi,
N is the sum of roll in tandem mill, i integer, PgiFor the density of i-th of roll, LgiFor the length of i-th of roll,
RgiFor the radius of i-th of roll, LjiFor the length of the axle journal of i-th of roll, RjiFor the axle journal radius of i-th of roll, αiIt is
Angular acceleration when i roll speed change, niThe roller revolving speed rolled for i-th.
B2: thermal power model is established to descaling bath in pickling-tandem rolling producing line, couples tandem rolling electric power model and thermal power
Model obtains tandem mill energy flow model.The construction method of thermal power model is in the patent application No. is 201610487049.3
There is more detailed record, details are not described herein.
The above PzCalculation formula are as follows:
Wherein,Average unit pressure when being rolled for kth platform tandem mill,Front and back band steel is rolled for kth platform tandem mill
Mean breadth, ψ be kth platform tandem mill rolling fore arm coefficient, R be tandem mill roll radius, all rolls have phase
Same radius, c are coefficient related with tandem mill technique, n0For continuous rolling mill roller revolving speed, h0For the initial rolling thickness of tandem mill, h
Go out thickness when milling train for strip, η is the efficiency that tandem mill output power of motor passes to milling train, and Δ h is the pressure of tandem mill rolling
Lower amount.
The above Pf1Calculation formula are as follows:
Wherein F is the roll-force of single roll, d1For journal diameter, d1=2R, f are coefficient of friction, and the roll has phase
Same coefficient of friction, n1It is total work rate coefficient.Multiplied by total work rate coefficient n1Afterwards, institute in available tandem mill
There is a general power of axle journal and bearing friction loss, in this implementation, n1≈2。
The above Pf2Calculation formula are as follows:
n2It is total work rate coefficient.Multiplied by general power system
Number n2Afterwards, in available tandem mill all axle journals and bearing friction loss general power, in this implementation, n2≈2。
It is illustrated below with more specifically example.
Since pickling-tandem rolling producing line belongs to procedural style production, tandem connection, has production between each unit (tandem mill)
Successional feature, once starting will be unable to request stop, so the parameter in tandem mill energy flow model can not use experiment
Method directly measures.Tandem mill belongs to enlarged equipment, can not carry out experiment in laboratory and get parms.Therefore the present invention is based on
The five frame connection rolling machine electrical power model that the pickling of cold rolling mill-tandem rolling producing line is established, is related to the coefficient of unit size, cold from this
Rolling can directly obtain in the data of factory's offer.Coefficient related with technique will be checked in by documents and materials.Specific embodiment party
Method, by taking single tandem mill as an example, steel band used is by taking SUS304 as an example:
The coefficient of the unit occurred in tandem rolling electric power model is as shown in table 1:
Coefficient value in 1 tandem rolling electric power model of table
Calculate the power equation of rolling mill practice obtained are as follows:
Following equation is obtained after parameter in substitution table 1
It is only surplus in above-mentioned equationBe it is uncertain, need to be iterated and acquire by following two formula, iterative process
It is as shown in Figure 3:
Unit width rolling pressure is found out according to above-mentioned iterative methodIt brings into the power equation of belt steel rolling technique, just obtains again
One using belt steel product itself technological parameter as the equation of independent variable.It can be according to the technological parameter of the strip that will be processed itself
Find out rolling mill practice power Pz.Fig. 1 and Fig. 2 is respectively Δ h, n0Relational graph between power.
Tandem rolling electric power model itself should have certain reliability and accuracy, can by following the description come into
Row is verified, and the data that the data in table 2 are provided from certain cold rolling mill can be compareed with calculated result.
2 five frame connection rolling machine motor model of table and its capacity motor
| Shelf number | Motor model | Capacity (kW) |
| No. 1 rack | TDZBS 4174-4 | 4174 |
| No. 2 racks | TDZBS 5250-4 | 5250 |
| No. 3 racks | TDZBS 5250-4 | 5250 |
| No. 4 racks | TDZBS 5250-4 | 5250 |
| No. 5 racks | TDZBS 5250-4 | 5250 |
It is calculated by taking No. 1 rack as an example, takes 5 kinds of strips as sample at random from the contract detail that certain cold rolling mill provides
Its dimensional parameters is updated to equation, power needed for the corresponding milling train of the different steel grades of the rolling obtained is listed in shown in table 3 by this:
Power prediction needed for 3 unit of table
The inlet thickness h of 5 kinds of strip samples in table 30, exit thickness h and width be all from certain cold rolling mill and mention for 2012
A contract detail supplied.According to the data for calculating acquisition in table, 5 kinds of samples process required rolling power in No. 1 rack
Respectively 2416.2~2982.8kW, 2446.1~3804.1kW, 2461.1~3877.6kW, 2576.1~3846.5kW,
2877.8~4028.9kW, the capacity motor of No. 1 rack is 4174Kw, the power of tandem rolling electric power model prediction in table 1
With capacity motor in the same order of magnitude, and it is less than the capacity of gantry motor, model established by the present invention has centainly reliable
Property, there is certain application value in practical engineering applications.
Power module established by the present invention power required when can process to the strip of each kind is assessed, can also
Basis is provided for efficiency optimizing research.By taking power assessments as an example, there are a kind of mappings for the technological parameter of process energy consumption and strip
Relationship, the power module established are actually the equation about technological parameter, and the independent variable of equation is cold rolling process
Parameter, dependent variable be output power value.Model can be by being updated to equation for the parameter of strip itself, to needed for rolling
Power predicted and assessed.
Contemplated technical solution can obtain following achievement through the invention.
1. the present invention is directed to pickling-tandem rolling producing line five frame connection rolling machine of cold-rolling process, power input output is carried out
Analysis, establishes electrical power model, solves current cold rolling producing line and lack the model of energy efficiency evaluation, and solve existing milling train
Deficiency existing for model provides theoretical basis for subsequent efficiency optimizing research.
2. equal with the power that unit exports according to the power for being input to unit present invention uses the theory of energy stream
Principle decomposes the power output of each unit, establishes equilibrium equation related with technological parameter respectively, obtains power
Model.
3. the tandem mills power module established using the method for the present invention need to only provide size of strip etc. in contract and join
Number, power needed for being quickly obtained processing have certain predicting function in production.
4. since the roll kinetic energy of roll speed change consumption is to continuous rolling mill roller speed change energy flow model and tandem mill energy stream
Model modeling has large effect, and existing power module does not account for the roll kinetic energy of roll speed change consumption, this hair
Bright point for compensating for the prior art is insufficient, models the tandem mill energy flow model of building closer to practical condition and more
With reference, guiding value.
Herein, the nouns of locality such as related front, rear, top, and bottom are to be located in figure with components in attached drawing and zero
Part mutual position defines, only for the purpose of expressing the technical solution clearly and conveniently.It should be appreciated that the noun of locality
Use should not limit the claimed range of the application.
In the absence of conflict, the feature in embodiment and embodiment herein-above set forth can be combined with each other.
The foregoing is merely presently preferred embodiments of the present invention, is not intended to limit the invention, it is all in spirit of the invention and
Within principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (6)
1. a kind of continuous rolling mill roller speed change energy flow model modeling method, which comprises the steps of:
A1: roll electrical power model is constructed to each of tandem mill roll, which includes single roll
The roll kinetic energy P of speed change consumptiongi,PgiCalculation formula be
Wherein, the end of roll is axle journal, and roll is rotatably fixed in bearing by axle journal, i integer, PgiIt is rolled for i-th
The density of roller, LgiFor the length of i-th of roll, RgiFor the radius of i-th of roll, LjiFor the length of the axle journal of i-th of roll,
RjiFor the axle journal radius of i-th of roll, αiAngular acceleration when for i-th of roll speed change, niFor the revolving speed of i-th of roll；
A2: the roll kinetic energy and P of all roll speed change consumption in tandem mill are calculatedg, obtain continuous rolling mill roller speed change energy stream mould.
2. a kind of tandem mill energy flow model modeling method, which comprises the steps of:
B1: tandem rolling electric power model is constructed to the tandem mill in pickling-tandem rolling producing line, which includes connecting
The calculation formula of the input power P, P of milling train is
P=Pz+Pg+Pf1+Pf2
Wherein, PzFor power needed for continuous mill rolling process, PgFor roll speed changes all in tandem mill consumption roll kinetic energy and,
Pf1For the power of axle journals and bearing friction loss all in tandem mill, Pf2For rolls all in tandem mill and strip friction loss
Power；The roll kinetic energy of single roll speed change consumption is P in tandem millgi,
The end of roll is axle journal, and roll is rotatably fixed in bearing by axle journal, and N is the sum of roll in tandem mill, i
Integer, PgiFor the density of i-th of roll, LgiFor the length of i-th of roll, RgiFor the radius of i-th of roll, LjiIt is rolled for i-th
The length of the axle journal of roller, RjiFor the axle journal radius of i-th of roll, αiAngular acceleration when for i-th of roll speed change, niIt is i-th
A roller revolving speed rolled；
B2: thermal power model is established to descaling bath in pickling-tandem rolling producing line, couples tandem rolling electric power model and thermal power model
Obtain tandem mill energy flow model.
3. tandem mill energy flow model modeling method as claimed in claim 2, it is characterised in that: PzCalculation formula are as follows:
Wherein,Average unit pressure when being rolled for kth platform tandem mill,Being averaged for front and back band steel is rolled for kth platform tandem mill
Width, ψ are the rolling fore arm coefficient of kth platform tandem mill, and R is the radius of the roll of tandem mill, all rolls having the same half
Diameter, c are coefficient related with tandem mill technique, n0For continuous rolling mill roller revolving speed, h0For the initial rolling thickness of tandem mill, h is strip
Thickness when milling train out, η are the efficiency that tandem mill output power of motor passes to milling train, and Δ h is the drafts of tandem mill rolling.
4. tandem mill energy flow model modeling method as claimed in claim 3, it is characterised in that: Pf1Calculation formula are as follows:
Wherein F is the roll-force of single roll, d1For journal diameter, d1=2R, f are coefficient of friction, and the roll is having the same
Coefficient of friction, n1It is total work rate coefficient.
5. tandem mill energy flow model modeling method as claimed in claim 4, it is characterised in that: Pf2Calculation formula are as follows:
n2It is total work rate coefficient.
6. tandem mill energy flow model modeling method as described in claim 4 or 5, it is characterised in that: total work rate coefficient is equal to
2。
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Application publication date: 20190531 |