CN109855435A - Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination - Google Patents
Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination Download PDFInfo
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Abstract
The invention discloses the Temperature Control of Electric Resistance Furnace methods based on Geometric Sequence permutation and combination, include the following steps: grouping and the determination of power, PID regulating calculation and output conversion and determine the group of investment and the group of excision.The present invention is based on the Temperature Control of Electric Resistance Furnace methods of Geometric Sequence permutation and combination, based on Geometric Sequence, it first carries out PID regulating calculation and converts, then permutation and combination switching is carried out to resistance furnace, method proposed by the invention can be realized multiple power output with seldom number of packet, can overcome external big disturbance, also there is very high accuracy of temperature control, and without harmonic wave, at low cost, it is applicable not only to gas heating, the heating temperature for being also applied for the flow medias such as liquid automatically controls.
Description
Technical field
The present invention relates to the technical fields of medium heating and temperature control, and in particular to the electricity based on Geometric Sequence permutation and combination
Hinder furnace temperature control method.
Background technique
In the application of flow media heating, medium flows out the outlet temperature of resistance furnace as technique controlled device, needs
Stablize in certain temperature, the practical temperature difference is in upper and lower limits.Traditional temprature control method is mainly three kinds:
1), resistance furnace is not grouped, and controls thyristor voltage regulation or solid-state relay switching by PLC；
2), the uniform multiple groups of resistance furnace point, all using contactor switching, wherein one group or two groups is automatically controlled by PLC and thrown
It cuts, the fixed investment of remaining group.
The above method respectively has advantage and disadvantage:
Method 1), temperature can be achieved be precisely controlled, the temperature difference range is small, but it is with high costs, reliability is lower, and be easy
Harmonic wave is generated, especially when resistance furnace installed capacity is larger, current harmonic content is easy exceeded；
Method 2), it is at low cost, but accuracy of temperature control is relatively low, and can not adapt to external big disturbance automatically.
For this purpose, the Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination of proposition, not only has very high temperature control
Precision, and control at low cost.
Summary of the invention
In view of the above-mentioned deficiencies in the prior art, it is an object of the present invention to provide the resistance furnace temperature based on Geometric Sequence permutation and combination
Control method is spent, multiple power output can be achieved with by seldom number of packet, external big disturbance can be overcome, it may have
Very high accuracy of temperature control.
In order to solve the above-mentioned technical problem, it adopts the following technical scheme that
Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination, includes the following steps:
S1, grouping and the determination of power:
S1.1, separate unit resistance furnace number of packet are denoted as n, respectively remember the 1st, 2,3 ..., n-1, n group, each group power from it is small to
Change in Geometric Sequence greatly, ratio parameter is set as 2, remembers that the 1st group of power is q, then the 2nd group is 2q, n-th group 2n-1Q, then always
Power is (2n-1)q；
S1.2, resistance furnace installed power is set as p, then (2 q=p/n-1)；
S1.3, the size for remembering output power are the combination of m kind altogether, then the calculation formula of m are as follows:
Above-mentioned m kind power is successively arranged from small to large
Column, it may be assumed that q, 2q ..., (2n-2)q,(2n- 1) q, adjacent two kinds of difference powers are q；
S2, PID regulating calculation and output conversion:
S2.1, in adjustment process, note technological parameter measured value be xact, setting value xset；Output power is u, is used
Increment type PID algorithm is denoted as u in the power output at k momentk, then:
Wherein ekIndicate the measured value x at k momentactSubtract setting value xset, formula expression: ek=xact-xset；
Then uk=Δ uk+uk-1；
S2.2, by calculated value ukIt is converted into the integer multiple of q needed for reality output, is denoted as fk, carry out lower column operations:
fk=round (uk/q)；
fk=max (fk,0)；
fk=min (fk,2n-1)；
Wherein, round () is the function that rounds up, and min () and max () are respectively to take minimum and maximal function；
The group of S3, the group for determining investment and excision:
S3.1, concordance list is established；
S3.2, selection concordance list in fkCorresponding group carries out investment operation, remaining group carries out excision operation.
Further, n value is 3~5 in the S1.1 step.
Further, n value is 3 in the S1.1 step, then the 1st group, the 2nd group, the 3rd group of power be respectively q, 2q, 4q,
Concordance list is as shown in table 1 in the corresponding S3.1 step:
Corresponding concordance list at 3 groups of 1 separate unit resistance furnace of table point
| fk | Throw enrolled serial number | Corresponding output power |
| 0 | Nothing | |
| 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, n value is 4 in the S1.1 step, then the 1st group, the 2nd group, the 3rd group, the 4th group of power be respectively q,
2q, 4q, 8q, concordance list is as shown in table 2 in the corresponding S3.1 step:
Corresponding concordance list at 4 groups of 2 separate unit resistance furnace of table point
| fk | Throw enrolled serial number | Corresponding output power |
| 0 | Nothing | |
| 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, n value is 5 in the S1.1 step, then the 1st group, the 2nd group, the 3rd group, the 4th group, the 5th group of power point
Not Wei q, 2q, 4q, 8q, 16q, concordance list is as shown in table 3 in the corresponding S3.1 step:
Corresponding concordance list at 5 groups of 3 separate unit resistance furnace of table point
Further, 0≤u in the S2.1 stepk≤p。
Further, round () function representation rounds up and calculating and retains integer in the S2.2 step.
As a result of the above technical solution, the following beneficial effects are obtained:
The present invention is the Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination, is based on Geometric Sequence, first carries out
PID regulating calculation simultaneously converts, and then carries out permutation and combination switching to resistance furnace, and method proposed by the invention can be with seldom point
Group quantity realizes multiple power output, can overcome external big disturbance, it may have very high accuracy of temperature control, and without harmonic wave,
It is at low cost, it is applicable not only to gas heating, the heating temperature for being also applied for the flow medias such as liquid automatically controls.
Detailed description of the invention
The present invention will be further explained below with reference to the attached drawings:
Fig. 1 is that separate unit resistance furnace is grouped schematic diagram in the present invention；
Fig. 2 is the schematic diagram that separate unit resistance furnace packet count is 3 in the embodiment of the present invention one；
Fig. 3 is the schematic diagram that separate unit resistance furnace packet count is 4 in the embodiment of the present invention one；
Fig. 4 is the schematic diagram that separate unit resistance furnace packet count is 5 in the embodiment of the present invention one.
Specific embodiment
In order to make the objectives, technical solutions and advantages of the present invention clearer, below by accompanying drawings and embodiments, to this
Invention is further elaborated.However, it should be understood that the specific embodiments described herein are merely illustrative of the present invention,
The range being not intended to restrict the invention.In addition, in the following description, descriptions of well-known structures and technologies are omitted, to keep away
Exempt from unnecessarily to obscure idea of the invention.
The embodiment of the present invention proposes a kind of Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination, including as follows
Step:
S1, grouping and the determination of power:
S1.1, separate unit resistance furnace number of packet are denoted as n, respectively remember the 1st, 2,3 ..., n-1, n group, each group power from it is small to
Change in Geometric Sequence greatly, ratio parameter is set as 2, remembers that the 1st group of power is q, then the 2nd group is 2q, n-th group 2n-1Q, such as Fig. 1
Shown, then general power is (2n-1)q；
S1.2, resistance furnace installed power is set as p, then (2 q=p/n-1)；
S1.3, the size for remembering output power are the combination of m kind altogether, then the calculation formula of m are as follows:
Above-mentioned m kind power is successively arranged from small to large
Column, it may be assumed that q, 2q ..., (2n-2)q,(2n- 1) q, adjacent two kinds of difference powers are q.
S2, PID regulating calculation and output conversion:
S2.1, in adjustment process, note technological parameter measured value be xact, setting value xset；Output power is u, is used
Increment type PID algorithm is denoted as u in the power output at k momentk, then:
In formula, ukThe output power at-k moment；
Kp- proportionality coefficient；
ekThe measured value x at-k momentactSubtract setting value xset, formula expression: ek=xact-xset；
T-PID control sampling period；
Ti- integration time constant；
Td- derivative time constant；
Then uk=Δ uk+uk-1；
S2.2, by calculated value ukIt is converted into the integer multiple of q needed for reality output, is denoted as fk, carry out lower column operations:
fk=round (uk/q)；
fk=max (fk,0)；
fk=min (fk,2n-1)；
Wherein, round () is the function that rounds up, and min () and max () are respectively to take minimum and maximal function.
The group of S3, the group for determining investment and excision:
S3.1, concordance list is established；
S3.2, selection concordance list in fkCorresponding group carries out investment operation, remaining group carries out excision operation.
Embodiment one,
Referring to Fig.2, separate unit resistance furnace number of packet is denoted as 3 in the embodiment of the present invention one, the 1st, 2,3 group is remembered respectively, note the
1 group of power is q, then the 2nd group is 2q, and the 3rd group is 4q, general power 7q；If resistance furnace installed power is p, then q=p/7；Output
The size of power has altogetherKind, above-mentioned 7 kinds of power is successively arranged from small to large
Column, i.e. q, 2q, 3q, 4q, 5q, 6q, 7q, adjacent two kinds of difference powers are q；It carries out PID regulating calculation and is converted into reality output institute
The integer multiple for needing q, is denoted as fk, concordance list is established, as shown in table 1:
Corresponding concordance list at 3 groups of 1 separate unit resistance furnace of table point
| fk | Throw enrolled serial number | Corresponding output power |
| 0 | Nothing | |
| 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 |
Select concordance list in fkCorresponding group carries out investment operation, remaining group carries out excision operation.
If f obtained by being calculated at the k momentkIt is 3, then passes through the 1st group and the 2nd group of control of fling-cut switch closure, the 3rd group of throwing
Shutdown is cut to open；If f obtained by being calculated at the k momentkIt is 7, then is opened by the 1st group, the 2nd group and the 3rd group of control of switching
Guan Jun closure.In this way, carrying out permutation and combination switching to resistance furnace according to concordance list.
Embodiment two,
Refering to Fig. 3, in the embodiment of the present invention two, separate unit resistance furnace number of packet is denoted as 4, remembers the 1st, 2,3,4 group respectively, note
1st group of power is q, then the 2nd group is 2q, and the 3rd group is 4q, and the 4th group is 8q, general power 15q；If resistance furnace installed power is p,
Then q=p/15；The size of output power has altogether Kind, it will be above-mentioned
15 kinds of power are arranged successively from small to large, i.e. q, 2q, 3q, 4q, 5q, 6q, 7q, 8q, 9q, 10q, 11q, 12q, 13q, 14q, 15q,
Adjacent two kinds of difference powers are q；It carries out PID regulating calculation and is converted into the integer multiple of q needed for reality output, be denoted as fk, establish
Concordance list, as shown in table 2:
Corresponding concordance list at 4 groups of 2 separate unit resistance furnace of table point
| fk | Throw enrolled serial number | Corresponding output power |
| 0 | Nothing | |
| 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 |
Select concordance list in fkCorresponding group carries out investment operation, remaining group carries out excision operation.
From Table 2, it can be seen that only having divided 4 groups, it can be achieved with 24The different power output of -1=15 kind can overcome outer
The big disturbance in portion, it may have very high accuracy of temperature control.
Embodiment three,
Refering to Fig. 4, in the embodiment of the present invention three, separate unit resistance furnace number of packet is denoted as 5, remembers the 1st, 2,3,4,5 group respectively,
Remember that the 1st group of power is q, then the 2nd group is 2q, and the 3rd group is 4q, and the 4th group is 8q, and the 5th group is 16q, general power 31q；If resistance
Furnace installed power is p, then q=p/31；The size of output power has altogetherKind, above-mentioned 31 kinds of power is successively arranged from small to large
Column, i.e. q, 2q, 3q, 4q ... ..., 30q, 31q, adjacent two kinds of difference powers are q；It carries out PID regulating calculation and is converted into practical defeated
The integer multiple of required q out, is denoted as fk, concordance list is established, as shown in table 3:
Corresponding concordance list at 5 groups of 3 separate unit resistance furnace of table point
From table 3 it is observed that only having divided 5 groups, it can be achieved with 25The different power output of -1=31 kind, adjacent two kinds of function
Rate difference is q=p/31, and grouping is more, and accuracy of temperature control is higher.
Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination proposed by the invention, compared to current tradition
Temprature control method, can with seldom number of packet realize multiple power output, temperature can be realized under the premise of low cost
Degree is precisely controlled, and this method is applicable not only to gas heating, and the heating temperature for being also applied for the flow medias such as liquid is controlled automatically
System.
The above is only specific embodiments of the present invention, but technical characteristic of the invention is not limited thereto.It is any with this hair
Based on bright, to solve essentially identical technical problem, essentially identical technical effect is realized, made ground simple change, etc.
With replacement or modification etc., all it is covered by among protection scope of the present invention.
Claims (7)
1. the Temperature Control of Electric Resistance Furnace method based on Geometric Sequence permutation and combination, characterized by the following steps: S1, divide
The determination of group and power:
S1.1, separate unit resistance furnace number of packet are denoted as n, remember the 1st, 2,3 respectively ..., n-1, n group, and each group power is in from small to large
Geometric Sequence variation, ratio parameter are set as 2, remember that the 1st group of power is q, then the 2nd group is 2q, n-th group 2n-1Q, then general power
It is (2n-1)q；
S1.2, resistance furnace installed power is set as p, then (2 q=p/n-1)；
S1.3, the size for remembering output power are the combination of m kind altogether, then the calculation formula of m are as follows:
Above-mentioned m kind power is arranged successively from small to large,
That is: q, 2q ..., (2n-2)q,(2n- 1) q, adjacent two kinds of difference powers are q；
S2, PID regulating calculation and output conversion:
S2.1, in adjustment process, note technological parameter measured value be xact, setting value xset；Output power is u, using increment
Formula pid algorithm is denoted as u in the power output at k momentk, then:
Wherein ekIndicate the measured value x at k momentactSubtract setting value xset, formula expression: ek=xact-xset；
Then uk=Δ uk+uk-1；
S2.2, by calculated value ukIt is converted into the integer multiple of q needed for reality output, is denoted as fk, carry out lower column operations:
fk=round (uk/q)；
fk=max (fk,0)；
fk=min (fk,2n-1)；
Wherein, round () is the function that rounds up, and min () and max () are respectively to take minimum and maximal function；
The group of S3, the group for determining investment and excision:
S3.1, concordance list is established；
S3.2, selection concordance list in fkCorresponding group carries out investment operation, remaining group carries out excision operation.
2. the Temperature Control of Electric Resistance Furnace method according to claim 1 based on Geometric Sequence permutation and combination, it is characterised in that:
N value is 3~5 in the S1.1 step.
3. the Temperature Control of Electric Resistance Furnace method according to claim 2 based on Geometric Sequence permutation and combination, it is characterised in that:
N value is 3 in the S1.1 step, then the 1st group, the 2nd group, the 3rd group of power be respectively q, 2q, 4q, the corresponding S3.1
Concordance list is as shown in table 1 in step:
Corresponding concordance list at 3 groups of 1 separate unit resistance furnace of table point
4. the Temperature Control of Electric Resistance Furnace method according to claim 2 based on Geometric Sequence permutation and combination, it is characterised in that:
N value is 4 in the S1.1 step, then the 1st group, the 2nd group, the 3rd group, the 4th group of power be respectively q, 2q, 4q, 8q, it is corresponding
Concordance list is as shown in table 2 in the S3.1 step:
Corresponding concordance list at 4 groups of 2 separate unit resistance furnace of table point
5. the Temperature Control of Electric Resistance Furnace method according to claim 2 based on Geometric Sequence permutation and combination, it is characterised in that:
N value is 5 in the S1.1 step, then the 1st group, the 2nd group, the 3rd group, the 4th group, the 5th group of power be respectively q, 2q, 4q, 8q,
16q, concordance list is as shown in table 3 in the corresponding S3.1 step:
Corresponding concordance list at 5 groups of 3 separate unit resistance furnace of table point
6. the Temperature Control of Electric Resistance Furnace method according to claim 1 based on Geometric Sequence permutation and combination, it is characterised in that:
0≤u in the S2.1 stepk≤p。
7. the Temperature Control of Electric Resistance Furnace method according to claim 1 based on Geometric Sequence permutation and combination, it is characterised in that:
Round () function representation, which rounds up, in the S2.2 step calculating and retains integer.
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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 |
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| 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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2019
- 2019-02-26 CN CN201910145789.2A patent/CN109855435B/en active Active
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 |
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