CN109855435B - Resistance furnace temperature control method based on geometric series permutation and combination - Google Patents
Resistance furnace temperature control method based on geometric series permutation and combination Download PDFInfo
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Abstract
The invention discloses a resistance furnace temperature control method based on geometric progression permutation and combination, which comprises the following steps: grouping and power determination, PID regulation calculation and output conversion, and determination of input groups and cut groups. The invention relates to a temperature control method of a resistance furnace based on geometric progression permutation and combination, which is based on the geometric progression, firstly carries out PID regulation calculation and conversion, and then carries out permutation and combination switching on the resistance furnace.
Description
Technical Field
The invention relates to the technical field of medium heating temperature control, in particular to a resistance furnace temperature control method based on geometric progression permutation and combination.
Background
In the application of flowing medium heating, the temperature of an outlet of a medium flowing out of the resistance furnace is taken as a controlled object of the process and needs to be stabilized at a certain temperature, and the actual temperature difference is within the upper and lower limit ranges. The traditional temperature control methods mainly comprise three methods:
1) the resistance furnaces are not grouped, and the PLC controls the thyristor voltage regulation or the solid-state relay switching;
2) the resistance furnace is divided into a plurality of groups, all the groups are switched by contactors, one group or two groups are automatically controlled by a PLC, and the rest groups are fixedly switched.
The above methods each have advantages and disadvantages:
the method 1) can realize accurate control of temperature, has small temperature difference range, high cost, low reliability and easy generation of harmonic waves, and the current harmonic wave content is easy to exceed the standard particularly when the installed capacity of the resistance furnace is large;
method 2), the cost is low, but the temperature control precision is low, and the method cannot automatically adapt to large external disturbance.
Therefore, the resistance furnace temperature control method based on the geometric progression permutation and combination is provided, which not only has high temperature control precision, but also has low control cost.
Disclosure of Invention
The invention aims to provide a resistance furnace temperature control method based on geometric progression permutation and combination aiming at the defects of the prior art, which can realize multiple power outputs through a small number of groups, can overcome large external disturbance and has high temperature control precision.
In order to solve the technical problems, the following technical scheme is adopted:
the resistance furnace temperature control method based on the geometric progression permutation and combination comprises the following steps:
s1, grouping and power determination:
s1.1, recording the grouping number of the single resistance furnaces as n, respectively recording the 1 st, 2 nd, 3 rd, … th, n-1 th and n th groups, wherein the power of each group changes from small to large in an equal ratio sequence, the ratio parameter is set to be 2, the 1 st group power is q, the 2 nd group is 2q, and the n th group is 2qn-1q, then the total power is (2)n-1)q；
S1.2, if the installed power of the resistance furnace is p, q is p/(2)n-1)；
S1.3, recording the total output power as m combinations, and then the calculation formula of m is as follows:
s2, PID regulation calculation and output conversion:
s2.1, recording the measured value of the process parameter as x in the adjusting processactThe set value is xset(ii) a The output power is u, an incremental PID algorithm is adopted, and the power output at the moment k is recorded as ukAnd then:
wherein ekMeasured value x representing time kactMinus a set value xsetThe formula shows: e.g. of the typek＝xact-xset；
Then u isk＝Δuk+uk-1；
S2.2, calculating value ukInteger multiple of q required for conversion to actual output, denoted as fkThe following operations are performed:
fk＝round(uk/q)；
fk＝max(fk,0)；
fk＝min(fk,2n-1)；
wherein, round () is a rounding function, min () and max () are minimum and maximum functions respectively;
s3, determining the input group and the cutting group:
s3.1, establishing an index table;
s3.2, selecting and f in the index tablekThe corresponding group is put into operation, and the other groups are cut out.
Further, n in the step S1.1 takes a value of 3-5.
Further, if n is 3 in the step S1.1, the powers of the 1 st group, the 2 nd group and the 3 rd group are q,2q and 4q, respectively, and the corresponding index table in the step S3.1 is shown in table 1:
TABLE 1 index table corresponding to 3 groups of single resistance furnace
| fk | Serial number of throw-in group | Corresponding output power |
| 0 | Is free of | |
| 1 | 1 | q |
| 2 | 2 | 2q |
| 3 | 1,2 | q+2q |
| 4 | 3 | 4q |
| 5 | 1,3 | q+4q |
| 6 | 2,3 | 2q+4q |
| 7 | 1,2,3 | q+2q+4q |
Further, if n is 4 in the step S1.1, the powers of the group 1, the group 2, the group 3, and the group 4 are q,2q, 4q, and 8q, respectively, and the index table in the step S3.1 is shown in table 2:
TABLE 2 index table corresponding to 4 groups of single resistance furnace
| fk | Serial number of throw-in group | Corresponding output power |
| 0 | Is free of | |
| 1 | 1 | q |
| 2 | 2 | 2q |
| 3 | 1,2 | q+2q |
| 4 | 3 | 4q |
| 5 | 1,3 | q+4q |
| 6 | 2,3 | 2q+4q |
| 7 | 1,2,3 | q+2q+4q |
| 8 | 4 | 8q |
| 9 | 1,4 | q+8q |
| 10 | 2,4 | 2q+8q |
| 11 | 1,2,4 | q+2q+8q |
| 12 | 3,4 | 4q+8q |
| 13 | 1,3,4 | q+4q+8q |
| 14 | 2,3,4 | 2q+4q+8q |
| 15 | 1,2,3,4 | q+2q+4q+8q |
Further, if n is 5 in the step S1.1, the powers of the group 1, the group 2, the group 3, the group 4, and the group 5 are q,2q, 4q, 8q, and 16q, respectively, and the corresponding index table in the step S3.1 is shown in table 3:
TABLE 3 index table corresponding to 5 groups of single resistance furnace
Further, u is more than or equal to 0 in the step S2.1k≤p。
Further, the round () function in step S2.2 represents a rounding calculation and holds an integer.
Due to the adoption of the technical scheme, the method has the following beneficial effects:
the invention is a temperature control method of a resistance furnace based on geometric progression permutation and combination, based on the geometric progression, PID adjustment calculation and conversion are firstly carried out, then permutation, combination and switching are carried out on the resistance furnace.
Drawings
The invention will be further described with reference to the accompanying drawings in which:
FIG. 1 is a schematic diagram of a single electric resistance furnace in the present invention;
FIG. 2 is a schematic diagram of a single resistance furnace with a group number of 3 according to one embodiment of the present invention;
FIG. 3 is a diagram illustrating a group number of 4 single resistance furnaces according to one embodiment of the present invention;
fig. 4 is a schematic diagram of a single resistance furnace with the number of groups of 5 according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to the accompanying drawings and examples. It should be understood, however, that the description herein of specific embodiments is only intended to illustrate the invention and not to limit the scope of the invention. Moreover, in the following description, descriptions of well-known structures and techniques are omitted so as to not unnecessarily obscure the concepts of the present invention.
The embodiment of the invention provides a resistance furnace temperature control method based on geometric progression permutation and combination, which comprises the following steps:
s1, grouping and power determination:
s1.1, recording the grouping number of the single resistance furnaces as n, respectively recording the 1 st, 2 nd, 3 rd, … th, n-1 th and n th groups, wherein the power of each group changes from small to large in an equal ratio sequence, the ratio parameter is set to be 2, the 1 st group power is q, the 2 nd group is 2q, and the n th group is 2qn-1q, as shown in FIG. 1, the total power is (2)n-1)q；
S1.2, if the installed power of the resistance furnace is p, q is p/(2)n-1)；
S1.3, recording the total output power as m combinations, and then the calculation formula of m is as follows:
S2, PID regulation calculation and output conversion:
s2.1, recording the measured value of the process parameter as x in the adjusting processactThe set value is xset(ii) a The output power is u, an incremental PID algorithm is adopted, and the power output at the moment k is recorded as ukAnd then:
in the formula uk-output power at time k;
Kp-a scaling factor;
ek-measured value x of time kactMinus a set value xsetThe formula shows: e.g. of the typek＝xact-xset；
T-PID controls the sampling period;
Ti-an integration time constant;
Td-a differential time constant;
then u isk＝Δuk+uk-1；
S2.2, calculating value ukInteger multiple of q required for conversion to actual output, denoted as fkThe following operations are performed:
fk＝round(uk/q)；
fk＝max(fk,0)；
fk＝min(fk,2n-1)；
where round () is a rounding function and min () and max () are minimum and maximum functions, respectively.
S3, determining the input group and the cutting group:
s3.1, establishing an index table;
s3.2, selecting and f in the index tablekThe corresponding group is put into operation, and the other groups are cut out.
The first embodiment,
Referring to fig. 2, in the first embodiment of the present invention, the number of the single resistance furnace groups is 3, the 1 st group, the 2 nd group, and the 3 rd group are respectively recorded, and the power of the 1 st group is recorded as q, so that the 2 nd group is 2q, the 3 rd group is 4q, and the total power is 7 q; if the installed power of the resistance furnace is p, q is p/7; magnitude of output power
Arranging the 7 kinds of power from small to large, namely q,2q,3q,4q,5q,6q and 7q, wherein the difference between two adjacent kinds of power is q; carrying out PID regulation calculation and converting the integral multiple of q required by actual output into fkAnd establishing an index table as shown in table 1:
TABLE 1 index table corresponding to 3 groups of single resistance furnace
| fk | Put into groupsSerial number | Corresponding output power |
| 0 | Is free of | |
| 1 | 1 | q |
| 2 | 2 | 2q |
| 3 | 1,2 | q+2q |
| 4 | 3 | 4q |
| 5 | 1,3 | q+4q |
| 6 | 2,3 | 2q+4q |
| 7 | 1,2,3 | q+2q+4q |
Selecting the sum of f in the index tablekThe corresponding group is put into operation, and the other groups are cut out.
If f is calculated at time kkIf the number is 3, the 1 st group of the fling-cut switches and the 2 nd group of the fling-cut switches are controlled to be closed, and the 3 rd group of the fling-cut switches are controlled to be opened; if f is calculated at time kkAnd 7, controlling the on-off switches of the 1 st group, the 2 nd group and the 3 rd group to be closed. Therefore, the resistance furnace is arranged, combined and switched according to the index table.
Example II,
Referring to fig. 3, in the second embodiment of the present invention, the grouping number of the single resistance furnaces is 4, the 1 st, 2 nd, 3 rd and 4 th groups are respectively recorded, and the power of the 1 st group is q, then the 2 nd group is 2q, the 3 rd group is 4q, the 4 th group is 8q, and the total power is 15 q; if the installed power of the resistance furnace is p, q is p/15; magnitude of output power
The 15 kinds of power are arranged from small to large, namely q,2q,3q,4q,5q,6q,7q,8q,9q,10q,11q,12q,13q,14q and 15q, and the difference between two adjacent kinds of power is q; performing PID adjustment calculation, converting the integral multiple of q required by actual output into an integral multiple of fk, and establishing an index table as shown in table 2:
TABLE 2 index table corresponding to 4 groups of single resistance furnace
| fk | Serial number of throw-in group | Corresponding output power |
| 0 | Is free of | |
| 1 | 1 | q |
| 2 | 2 | 2q |
| 3 | 1,2 | q+2q |
| 4 | 3 | 4q |
| 5 | 1,3 | q+4q |
| 6 | 2,3 | 2q+4q |
| 7 | 1,2,3 | q+2q+4q |
| 8 | 4 | 8q |
| 9 | 1,4 | q+8q |
| 10 | 2,4 | 2q+8q |
| 11 | 1,2,4 | q+2q+8q |
| 12 | 3,4 | 4q+8q |
| 13 | 1,3,4 | q+4q+8q |
| 14 | 2,3,4 | 2q+4q+8q |
| 15 | 1,2,3,4 | q+2q+4q+8q |
Selecting the sum of f in the index tablekThe corresponding group is put into operation, and the other groups are cut out.
As can be seen from Table 2, only 4 groups were divided to achieve 24And (2) 15 different power outputs, so that the high-power-output temperature control device can overcome large external disturbance and has high temperature control precision.
Example III,
Referring to fig. 4, in the third embodiment of the present invention, the number of the single resistance furnace groups is 5, the 1 st, 2 nd, 3 rd, 4 th and 5 th groups are respectively recorded, and the power of the 1 st group is q, so that the 2 nd group is 2q, the 3 rd group is 4q, the 4 th group is 8q, the 5 th group is 16q, and the total power is 31 q; if the installed power of the resistance furnace is p, q is p/31; magnitude of output power
The 31 kinds of work are carried outThe rates are arranged from small to large, namely q,2q,3q,4q, … …,30q and 31q, and the difference between two adjacent powers is q; carrying out PID regulation calculation and converting the integral multiple of q required by actual output into fkAnd establishing an index table as shown in table 3:
TABLE 3 index table corresponding to 5 groups of single resistance furnace
As can be seen from Table 3, only 5 groups were divided to achieve 25And (3) 31 different power outputs are obtained, and the difference between two adjacent power outputs is q/31, so that the more groups are, the higher the temperature control precision is.
Compared with the traditional temperature control method, the resistance furnace temperature control method based on the geometric progression permutation and combination can realize multiple power outputs with fewer groups, can realize accurate temperature control on the premise of low cost, and is not only suitable for gas heating, but also suitable for automatic control of the heating temperature of flowing media such as liquid and the like.
The above is only a specific embodiment of the present invention, but the technical features of the present invention are not limited thereto. Any simple changes, equivalent substitutions or modifications made on the basis of the present invention to solve the same technical problems and achieve the same technical effects are all covered in the protection scope of the present invention.
Claims (7)
1. The electric furnace temperature control method based on the geometric series permutation and combination is characterized by comprising the following steps: the method comprises the following steps:
s1, grouping and power determination:
s1.1, the grouping number of the single resistance furnaces is recorded as n, the 1 st, 2 nd, 3 rd, … th, n-1 th and n th groups are respectively recorded, the power of each group changes from small to large in an equal ratio sequence, the ratio parameter is set to be 2, the 1 st group power is recorded as q, the 2 nd group is 2q, and the 1 st group power is recorded as qn is 2 in groupn-1q, then the total power is (2)n-1)q；
S1.2, if the installed power of the resistance furnace is p, q is p/(2)n-1)；
S1.3, recording the magnitude of output power as m types, wherein the calculation formula of m is as follows:
the m kinds of power are arranged from small to large in sequence, namely: q,2q, …, (2)n-2)q,(2n-1) q, the difference between two adjacent powers is q;
s2, PID regulation calculation and output conversion:
s2.1, recording the measured value of the process parameter as x in the adjusting processactThe set value is xset(ii) a The output power is u, an incremental PID algorithm is adopted, and the power output at the moment k is recorded as ukAnd then:
wherein ekMeasured value x representing time kactMinus a set value xsetThe formula shows: e.g. of the typek＝xact-xset；
Then u isk＝Δuk+uk-1；
S2.2, mixing ukInto a real output fkThe following operations are performed:
fk＝round(uk/q)；
fk＝max(fk,0)；
fk＝min(fk,2n-1)；
wherein, round () is a rounding function, min () and max () are minimum and maximum functions respectively;
s3, determining the input group and the cutting group:
s3.1, establishing an index table;
s3.2, outputting f according to required actual outputkLook up the index table, select the actual index tableOutput fkThe switching switches of the corresponding groups are closed to carry out switching operation, and the switching switches of the other groups are opened to carry out cutting operation.
2. The method for controlling the temperature of an electric furnace according to claim 1, wherein the method comprises the steps of: and in the step S1.1, the value of n is 3-5.
3. The method for controlling the temperature of an electric furnace according to claim 2, wherein the method comprises the steps of: if n is 3 in the step S1.1, the powers of the 1 st group, the 2 nd group and the 3 rd group are q,2q and 4q, respectively, and the corresponding index table in the step S3.1 is shown in table 1:
TABLE 1 index table corresponding to 3 groups of single resistance furnace
。
4. The method for controlling the temperature of an electric furnace according to claim 2, wherein the method comprises the steps of: if n is 3 in the step S1.1, the powers of the group 1, the group 2, the group 3, and the group 4 are q,2q, 4q, and 8q, respectively, and the index table in the step S3.1 is shown in table 2:
TABLE 2 index table corresponding to 4 groups of single resistance furnace
5. The method for controlling the temperature of an electric furnace according to claim 2, wherein the method comprises the steps of: if n is 3 in the step S1.1, the powers of the group 1, the group 2, the group 3, the group 4, and the group 5 are q,2q, 4q, 8q, and 16q, respectively, and the index table in the step S3.1 is shown in table 3.
TABLE 3 index table corresponding to 5 groups of single resistance furnace
6. The method for controlling the temperature of an electric furnace according to claim 1, wherein the method comprises the steps of: u is more than or equal to 0 in the step S2.1k≤p。
7. The method for controlling the temperature of an electric furnace according to claim 1, wherein the method comprises the steps of: the round () function in the S2.2 step is rounded and holds an integer.
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN2904558Y (en) * | 2006-03-16 | 2007-05-23 | 重庆巴城机电有限公司 | Intelligent control electricity saver |
| CN102650890A (en) * | 2012-04-24 | 2012-08-29 | 湖南迪斯生物技术有限公司 | Self-adaptive PID (proportion integration differentiation) temperature control method |
| CN105607671A (en) * | 2016-02-23 | 2016-05-25 | 杭州福斯达深冷装备股份有限公司 | Automatic resistance furnace temperature control method based on queue model |
| CN105759601A (en) * | 2016-02-23 | 2016-07-13 | 杭州福斯达深冷装备股份有限公司 | Sequence control and adjustment method based on PID algorithm and queue model |
| CN105911862A (en) * | 2016-05-13 | 2016-08-31 | 中南大学 | Electric heating furnace temperature control method |
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Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2904558Y (en) * | 2006-03-16 | 2007-05-23 | 重庆巴城机电有限公司 | Intelligent control electricity saver |
| CN102650890A (en) * | 2012-04-24 | 2012-08-29 | 湖南迪斯生物技术有限公司 | Self-adaptive PID (proportion integration differentiation) temperature control method |
| CN105607671A (en) * | 2016-02-23 | 2016-05-25 | 杭州福斯达深冷装备股份有限公司 | Automatic resistance furnace temperature control method based on queue model |
| CN105759601A (en) * | 2016-02-23 | 2016-07-13 | 杭州福斯达深冷装备股份有限公司 | Sequence control and adjustment method based on PID algorithm and queue model |
| CN105911862A (en) * | 2016-05-13 | 2016-08-31 | 中南大学 | Electric heating furnace temperature control method |
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