CN110947771B - Method for calculating rolling energy consumption of hot continuous rolling - Google Patents

Method for calculating rolling energy consumption of hot continuous rolling Download PDF

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CN110947771B
CN110947771B CN201911153581.1A CN201911153581A CN110947771B CN 110947771 B CN110947771 B CN 110947771B CN 201911153581 A CN201911153581 A CN 201911153581A CN 110947771 B CN110947771 B CN 110947771B
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rolling
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calculating
energy consumption
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CN110947771A (en
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彭文
许楠
姬亚锋
孙杰
丁敬国
李旭
张殿华
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Northeastern University China
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby

Abstract

The invention relates to the technical field of steel rolling automatic control, and provides a hot continuous rolling energy consumption calculation method. Firstly, determining the number of passes, then setting the total number of samples, defining the number of the samples according to the sequence of the passes, and determining the length of the samples passing through a single pass; then, collecting the rolling force and the rolling speed when the sample passes through a single pass, and sequentially calculating the average value of the rolling force, the average value of the rolling speed, the time, the rolling moment and the rolling power when the sample passes through the single pass according to the sample data so as to obtain the rolling energy consumption of the sample passing through the single pass; and further calculating the rolling energy consumption of a single pass, and finally calculating to obtain the rolling energy consumption in the rolling process. The invention solves the technical problems that the rolling energy consumption of the hot continuous rolling can not be directly measured on line, and the rolling power is difficult to accurately calculate according to the output power of the motor, so that the rolling energy consumption is difficult to accurately calculate, and improves the accuracy and efficiency of the calculation of the rolling energy consumption of the hot continuous rolling.

Description

Method for calculating rolling energy consumption of hot continuous rolling
Technical Field
The invention relates to the technical field of steel rolling automatic control, in particular to a method for calculating rolling energy consumption of hot continuous rolling.
Background
In the hot continuous rolling production process, the rolling energy consumption is an important index for evaluating the rolling process. With the gradual increase of production cost, how to accurately calculate rolling energy consumption and reasonably make or adjust a production plan according to the energy consumption becomes a focus of attention.
In actual production, the head of a rolled piece firstly passes through a rolling area, the tail of the rolled piece passes through the rolling area, the tail of the rolled piece is exposed in the air for a longer time than the head of the rolled piece, so that the rolling temperature is gradually reduced, and the rolling force is gradually increased; meanwhile, the speed of a rolled piece can be changed in the rolling process, and the rolling energy consumption can also be changed. Because the output power of the transmission motor not only comprises the rolling power, but also comprises the mechanical power loss of the motor and the like, the rolling power is difficult to accurately calculate simply according to the output power of the motor, and the accurate calculation of the rolling energy consumption is not facilitated.
In the existing rolling energy consumption calculation methods, the calculation of the cold rolling process is mostly aimed at, for example, a prediction method of the motor power in the cold rolling process is provided in the Chinese patent of invention with the publication number of CN104998913A, the rolling power is calculated by a simple finite element method, the rolling power and the mechanical power loss are further calculated, and the motor power is finally obtained by prediction. The finite element method needs a large amount of calculation time, so the method is mostly used for the prediction process of the motor power, and meanwhile, the head and tail temperature difference of a rolled piece does not exist in the cold rolling process, so the method cannot be used for calculating the energy consumption of the hot continuous rolling.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides the method for calculating the rolling energy consumption of the hot continuous rolling, which can accurately and efficiently calculate the rolling energy consumption of the hot continuous rolling.
The technical scheme of the invention is as follows:
a method for calculating energy consumption of hot continuous rolling is characterized by comprising the following steps:
step 1: dividing rolled piece samples and calculating the length of the samples;
step 1.1: determining a pass number: numbering pass numbers of the rolled pieces according to the rolling sequence of the rolled pieces, wherein the pass numbers are {1, 2.., N }; in the hot continuous rolling process, the rolled piece sequentially passes through A rough rolling stands and B finish rolling stands, and the rolled piece passes through S at the a ∈ {1,2, …, A } rough rolling standaThe rolling of the rolled piece is carried out for one pass in each finishing mill frame SaIs odd, N is the total number of passes,
Figure GDA0002730943260000021
step 1.2: determining a sample number: setting the total number of samples as S, and defining the sample numbers as {1,2, …, S } according to the sequence of pass;
step 1.3: determining the length of the sample passing through the jth pass as
Figure GDA0002730943260000022
Wherein L isjThe length of the rolled piece passing through the jth pass is,
Figure GDA0002730943260000023
H0、W0、L0respectively the thickness, width, length, H of the slabj、WjThe thickness and the width of the rolled piece passing through the jth pass are respectively, and j belongs to {1,2, …, N };
step 2: collecting and processing sample data;
step 2.1: calculating the average value of the sample data: sampling the rolling force and the rolling speed of the ith sample passing through the jth pass in the ith sample belonging to the {1,2,., S } range, and calculating the average value F of the rolling force of the ith sample passing through the jth pass according to the sampled dataijAverage value v of roll speedijAverage value of roll rotation speed
Figure GDA0002730943260000024
Wherein R isjThe radius of the roller of the frame where the jth pass is located;
step 2.2: calculating the time of the ith sample passing through the jth pass as
Figure GDA0002730943260000025
And step 3: calculating the rolling energy consumption J of the ith sample through the jth passij；
And 4, step 4: calculating the rolling energy consumption of the jth pass
Figure GDA0002730943260000026
And 5: calculating rolling energy consumption of rolling process
Figure GDA0002730943260000027
Further, the step 3 comprises the following steps:
step 3.1: calculating the rolling moment of the ith sample through the jth pass as Mij＝2FijlijPsi; wherein，lijThe contact arc length for the ith sample through the jth pass,
Figure GDA0002730943260000028
Rij' is the flattening radius of the ith sample through the jth pass,
Figure GDA0002730943260000029
ΔHjthe reduction, Δ H, of the rolled stock passing through the jth passj＝Hj-1-HjPsi is moment arm coefficient;
step 3.2: calculating the rolling power of the ith sample through the jth pass as
Figure GDA0002730943260000031
Step 3.3: calculating the rolling energy consumption of the ith sample through the jth pass as Jij＝Pijtij。
The invention has the beneficial effects that:
according to the invention, the rolled piece is divided into samples according to the sequence of pass, the length of the samples is calculated, the rolling energy consumption of the samples passing through a single pass is calculated by combining the rolling force and the rolling speed of the samples collected in real time, and the rolling energy consumption of the whole rolled piece passing through all the racks is finally obtained.
Drawings
FIG. 1 is a flow chart of the method for calculating rolling energy consumption of hot continuous rolling according to the present invention;
FIG. 2 is a schematic layout of a hot continuous rolling line according to an embodiment of the present invention;
FIG. 3 is a schematic illustration of sample division of a hot continuous rolled product in an embodiment of the present disclosure;
FIG. 4 is a graph of measured rolling force data of the first pass of the rough hot continuous rolling area in the embodiment of the invention.
In the figure, 1-heating furnace, 2-rough rolling mill group, 3-finishing rolling mill group, 4-coiling machine, 5-pressure sensor, 6-speed sensor, 7-plate blank, 8-intermediate blank, 9-finished product.
Detailed Description
The invention will be further described with reference to the accompanying drawings and specific embodiments.
As shown in fig. 1, the method for calculating the energy consumption of hot continuous rolling of the present invention comprises the following steps:
step 1: dividing rolled piece samples and calculating sample length:
step 1.1: determining a pass number: numbering pass numbers of the rolled pieces according to the rolling sequence of the rolled pieces, wherein the pass numbers are {1, 2.., N }; in the hot continuous rolling process, the rolled piece sequentially passes through A rough rolling stands and B finish rolling stands, and the rolled piece passes through S at the alpha ∈ {1,2aThe rolling of the rolled piece is carried out for one pass in each finishing mill frame SaIs odd, N is the total number of passes,
Figure GDA0002730943260000032
in this embodiment, a typical hot continuous rolling line arrangement as shown in fig. 2 is adopted. After the plate blank 7 is discharged from the heating furnace 1, the plate blank is subjected to odd-number-pass reciprocating rolling in the rough rolling unit 2 to obtain an intermediate blank 8, and then the intermediate blank is subjected to the finish rolling unit 3 to obtain a finished product 9, and the finished product enters the coiling machine 4 to finish the coiling process.
Each stand in the roughing mill train 2 and the finishing mill train 3 is provided with a pressure sensor 5 and a speed sensor 6 for measuring the rolling force and the roll speed.
The roughing train 2 comprises 1 roughing stands, in which the rolling stock passes through S1The finishing train 3 comprises 7 finishing stands for 5-pass back and forth rolling, so that the total number of passes N is 12.
Step 1.2: determining a sample number: and setting the total number of the samples as S, and defining the sample number as {1, 2.., S } according to the sequence of pass.
Step 1.3: determining the length of the sample passing through the jth pass as
Figure GDA0002730943260000041
Wherein L isjThe length of the rolled piece passing through the jth pass is,
Figure GDA0002730943260000042
H0、W0、L0respectively the thickness, width, length, H of the slabj、WjThe thickness and the width of the rolled piece passing through the jth pass are respectively, and j belongs to {1, 2.. multidot.N }.
In this embodiment, the total number of samples is set to S25. As shown in fig. 3, the rolled piece samples are divided according to the volume invariance principle, and the sample number is defined as {1, 2. And according to the data of the upper computer PDI, obtaining the outlet thickness and the outlet width of each pass by the load distribution model, wherein the outlet thickness and the outlet width of each pass are the thickness and the width of the rolled piece passing through the pass. The calculated length of a single sample passing through each pass and the thickness, width and length of a rolled piece passing through each pass are shown in the following table 1.
TABLE 1
Figure GDA0002730943260000043
The following explains the calculation principle of the rolling energy consumption of a single sample passing through a single pass by taking the 1 st sample passing through the 1 st pass as an example:
step 2: collecting and processing sample data;
step 2.1: calculating the average value of the sample data: sampling the rolling force and the rolling speed of the ith sample passing through the jth pass in the ith sample belonging to the {1,2,., S } range, and calculating the average value F of the rolling force of the ith sample passing through the jth pass according to the sampled dataijAverage value v of roll speedijAverage value of roll rotation speed
Figure GDA0002730943260000051
Wherein R isjThe radius of the roller of the frame where the jth pass is located;
step 2.2: calculating the time of the ith sample passing through the jth pass as
Figure GDA0002730943260000052
And step 3: calculating the rolling energy consumption J of the ith sample through the jth passij：
Step 3.1: calculating the rolling moment of the ith sample through the jth pass as Mij＝2FijlijPsi; wherein lijThe contact arc length for the ith sample through the jth pass,
Figure GDA0002730943260000053
Rij' is the flattening radius of the ith sample through the jth pass,
Figure GDA0002730943260000054
ΔHjthe reduction, Δ H, of the rolled stock passing through the jth passj＝Hj-1-HjPsi is moment arm coefficient;
step 3.2: calculating the rolling power of the ith sample through the jth pass as
Figure GDA0002730943260000055
Step 3.3: calculating the rolling energy consumption of the ith sample through the jth pass as Jij＝Pijtij。
In this example, the rolling force curves of 25 samples obtained by sampling when passing through the 1 st pass are shown in fig. 4. Calculating to obtain the average value F of the rolling force when the 1 st sample passes through the 1 st pass1115190.0kN, average roll speed v112.5m/s, average value of roller rotation speed
Figure GDA0002730943260000056
Calculating the time of the 1 st sample passing the 1 st pass as
Figure GDA0002730943260000057
Calculating the flattening radius of the 1 st sample passing through the 1 st pass as
Figure GDA0002730943260000058
The reduction at the 1 st pass of the 1 st sample is calculated as
ΔH1＝H0-H1＝230-180
Calculating the contact arc length of the 1 st sample passing the 1 st pass as
Figure GDA0002730943260000061
Taking the moment arm coefficient psi as 0.5, and calculating the rolling moment of the 1 st sample passing through the 1 st pass to be
M11＝2F11l11ψ＝2×15190.0×150.4×0.5＝2284.6Nm
Calculating the rolling power of the 1 st sample passing through the 1 st pass as
Figure GDA0002730943260000062
Calculating the rolling energy consumption of the 1 st sample through the 1 st pass as
J11＝P11t11＝12685.7×0.16＝2074.8kJ
And 4, step 4: calculating the rolling energy consumption of the jth pass
Figure GDA0002730943260000063
Repeating the step 2 and the step 3, and sequentially calculating the rolling energy consumption of the subsequent samples through the 1 st pass to obtain the rolling energy consumption of all the samples through the 1 st pass as
Figure GDA0002730943260000064
And 5: calculating rolling energy consumption of rolling process
Figure GDA0002730943260000065
And (4) repeating the step (4), calculating the rolling energy consumption of all samples in subsequent passes to obtain the total rolling energy consumption of
Figure GDA0002730943260000066
Therefore, the invention divides the rolled piece into samples according to the sequence of pass and calculates the length of the samples, and combines the rolling force and the rolling speed of the samples collected in real time to calculate the rolling energy consumption of the samples passing through a single pass, thereby finally obtaining the rolling energy consumption of the whole rolled piece passing through all the racks.
It is to be understood that the above-described embodiments are only a few embodiments of the present invention, and not all embodiments. The above examples are only for explaining the present invention and do not constitute a limitation to the scope of protection of the present invention. All other embodiments, which can be derived by those skilled in the art from the above-described embodiments without any creative effort, namely all modifications, equivalents, improvements and the like made within the spirit and principle of the present application, fall within the protection scope of the present invention claimed.

Claims (2)

1. A method for calculating energy consumption of hot continuous rolling is characterized by comprising the following steps:
step 1: dividing rolled piece samples and calculating the length of the samples;
step 1.1: determining passNumbering: numbering pass numbers of the rolled pieces according to the rolling sequence of the rolled pieces, wherein the pass numbers are {1, 2.., N }; in the hot continuous rolling process, the rolled piece sequentially passes through A rough rolling stands and B finish rolling stands, and the rolled piece passes through S at the alpha ∈ {1,2aThe rolling of the rolled piece is carried out for one pass in each finishing mill frame SaIs odd, N is the total number of passes,
Figure FDA0002284226450000011
step 1.2: determining a sample number: setting the total number of samples as S, and defining the sample number as {1, 2.., S } according to the sequence of pass;
step 1.3: determining the length of the sample passing through the jth pass as
Figure FDA0002284226450000012
Wherein L isjThe length of the rolled piece passing through the jth pass is,
Figure FDA0002284226450000013
H0、W0、L0respectively the thickness, width, length, H of the slabj、WjThe thickness and the width of the rolled piece passing through the jth pass are respectively, and j belongs to {1, 2.. multidot.N };
step 2: collecting and processing sample data;
step 2.1: calculating the average value of the sample data: sampling the rolling force and the rolling speed of the ith sample passing through the jth pass in the ith sample belonging to the {1,2,., S } range, and calculating the average value F of the rolling force of the ith sample passing through the jth pass according to the sampled dataijAverage value v of roll speedijAverage value of roll rotation speed
Figure FDA0002284226450000014
Wherein R isjThe radius of the roller of the frame where the jth pass is located;
step 2.2: calculating the time of the ith sample passing through the jth pass as
Figure FDA0002284226450000015
And step 3: calculating the rolling energy consumption J of the ith sample through the jth passij；
And 4, step 4: calculating the rolling energy consumption of the jth pass
Figure FDA0002284226450000016
And 5: calculating rolling energy consumption of rolling process
Figure FDA0002284226450000017
2. The method for calculating energy consumption of hot continuous rolling according to claim 1, wherein the step 3 comprises the following steps:
step 3.1: calculating the rolling moment of the ith sample through the jth pass as Mij＝2FijlijPsi; wherein lijThe contact arc length for the ith sample through the jth pass,
Figure FDA0002284226450000021
Rij' is the flattening radius of the ith sample through the jth pass,
Figure FDA0002284226450000022
ΔHjthe reduction, Δ H, of the rolled stock passing through the jth passj＝Hj-1-HjPsi is moment arm coefficient;
step 3.2: calculating the rolling power of the ith sample through the jth pass as
Figure FDA0002284226450000023
Step 3.3: calculating the rolling energy consumption of the ith sample through the jth pass as Jij＝Pijtij。
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