CN105159138B - A kind of radiometer temperature control system heat transfer mathematical model establishing method - Google Patents
A kind of radiometer temperature control system heat transfer mathematical model establishing method Download PDFInfo
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Abstract
The invention discloses a kind of method for building up of radiometer temperature control system heat transfer model.It comprises the following steps：Step A：Analyzing radiation meter temperature control system heat transfer mathematical modeling；Step B：Obtain data needed for modeling；Step C：The temperature TRANSFER MODEL of receiver is set up by data；Step D：The temperature TRANSFER MODEL that receiver and calandria are heated jointly is set up by data.The modeling method can be derived that the mathematical modeling of receiver and the single thermal transfer function of calandria, the PID of modulating system is adjusted, system emulation aspect etc. provides effective model foundation, system concussion caused by preventing pid parameter improper, stable for high-precision temperature control system provides necessary foundation.
Description
Technical field
The present invention relates to technical fields such as data fitting, the modeling of temperature control system heat transfer, Automated condtrols, more particularly to
The method for building up of radiometer temperature control system heat transfer mathematical modeling.
Background technology
Receiver for radiometer is as the critical component of radiometer system, and its characteristic determines that the main performance of radiometer refers to
Mark.The sensitivity of radiometer depends mainly on the change in gain of receiver, and the stability of receiver gain is mainly by receiver
The temperature influence of local environment, in order to obtain the indexs such as higher sensitivity, it is ensured that the stability of receiver gain, keeps receiving
Machine work when temperature it is constant be necessary.
For the thermostat temperature control technology comparative maturity of single heating source, there are two heat in radiometer temperature control system
Source, thermal source one is receiver module, and receiver module can continue to produce constant heat during normal work, not by temperature
Control system influence is spent, thermal source two is calandria, and calandria is the main modular of temperature modulation.Due to receiver produce it is constant
Heat is larger, and its caloric value is not influenceed by temperature control system, therefore, when setting up radiometer heat transfer model, receiver and
Calandria can not be handled as a thermal source, and influence of the receiver to temperature control system can not be ignored, and commonly use temperature control mould
Radiometer temperature control system heat transfer model can not be described for type.
The content of the invention
Instant invention overcomes the double thermal source heating of radiometer temperature control system, the temperature control system heat transfer mathematical modulo of single heat source modulation
There is provided a kind of method for building up of radiometer temperature control system heat transfer model for the problem of type is set up.
To reach above-mentioned purpose, technical scheme provides a kind of radiometer temperature control system heat transfer mathematical modeling
Method for building up, comprises the following steps：Step A：Analyzing radiation meter temperature control system heat transfer mathematical modeling；Step B：Obtain modeling institute
Need data；Step C：The temperature TRANSFER MODEL of receiver is set up by data；Step D：Receiver is set up by data and calandria is total to
With the temperature TRANSFER MODEL of heating.
Further, the step A：Analyzing radiation meter temperature control system heat transfer mathematical modeling, is specifically included：Step A1：Point
Receiver is analysed as the heat transfer mathematical modeling of temperature control system during thermal source；Step A2：Analysis calandria is used as temperature control system during thermal source
The heat transfer mathematical modeling of system；Step A3：Analyze under receiver and calandria collective effect, the heat transfer mathematical modulo of temperature control system
Type.
Further, in step A1, specifically include：According to thermodynamic principles, the heating of receiver in temperature control system is tried to achieve
Correlation between amount, temperature control box temperature, ambient temperature etc., the difference for trying to achieve temperature control box temperature and ambient temperature is sent out with receiver
The relation of heat, transmission function when Laplace transform can obtain receiver heating is carried out to the relation.To the transmission function
Step response carry out inverse Laplace transform, the mathematical modeling of its heat transfer effect can be obtained.
Further, in step A2, specifically include：According to thermodynamic principles, the heating of calandria in temperature control system is tried to achieve
Correlation between amount, temperature control box temperature, ambient temperature etc., the difference for trying to achieve temperature control box temperature and ambient temperature is sent out with calandria
The relation of heat, transmission function when Laplace transform can obtain calandria heating is carried out to the relation.To the transmission function
Step response carry out inverse Laplace transform, the mathematical modeling of its heat transfer effect can be obtained.
Further, in step A3, specifically include：Knowable to the transmission function of foundation receiver and calandria, radiometer system
Heat transfer of uniting mathematical modeling is both transmission function sums.
Further, the step B：Obtain data needed for modeling.
Further, the step C：The temperature for setting up receiver by data transmits mathematical modeling, specifically includes：Step C1：
The time delay constant τ of temperature transmission function1；Step C2：Determine system gain K1With time constant T1。
Further, in step C1, specifically include：Temperature data T according to temperature control box1i, obtain temperature curve T1iIt is oblique
Rate, searches the maximum of slope, the curve near tangent is done at gradient maxima, and the value that the tangent line intersects with X-axis is transmission
The time delay constant τ of function1。
Further, in step C2, specifically include：Take out T1iMiddle τ1The data are carried out data fitting and distinguished by data afterwards
Know, the gain K for the transmission function system asked1And time constant T1。
Further, the step D：The temperature for determining calandria by data transmits mathematical modeling, specifically includes：Step D1：
The time delay constant τ of temperature transmission function2；Step D2：Determine system gain K2With time constant T2。
Further, in step D1, specifically include：Temperature T according to temperature control box2i, obtain temperature curve T2iSlope,
The maximum of slope is searched, the curve near tangent is done at gradient maxima, the value that the tangent line intersects with X-axis is transmission function
Time delay constant τ2。
Further, in step d 2, specifically include：Take out T2iMiddle τ2The data are carried out data fitting and distinguished by data afterwards
Know, the gain K for the transmission function asked2And time constant T2。
Thermal transfer function modeling is carried out using this method, can effectively solve the problem that local environment is different, correspondence model is different, and
The drawbacks of being controlled using same PID, simultaneously as receiver is not involved in temperature modulation, the modeling method, which can be derived that, to be connect
The mathematical modeling of receipts machine and the single thermal transfer function of calandria, is adjusted to the PID of modulating system, and system emulation aspect etc. is provided
Effective model foundation, system concussion caused by preventing pid parameter improper, stable for high-precision temperature control system provides necessity
Foundation.
Brief description of the drawings
Fig. 1 is the flow chart of the embodiment of the present invention；
Fig. 2 is the principle schematic of the unit-step response of the transmission function of the embodiment of the present invention；
Embodiment
In order to solve problem in the prior art, the invention provides a kind of method, the technical scheme base of the embodiment of the present invention
In temperature data, the heat transfer mathematical modeling to receiver and calandria is fitted, using the model, is different temperatures environment
Adjusting for lower pid parameter provides model foundation.Below in conjunction with accompanying drawing and embodiment, the present invention is carried out further specifically
It is bright.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, the present invention is not limited.
Embodiment 1
Embodiments in accordance with the present invention are there is provided the method that radiometer temperature control system is modeled, and Fig. 1 is the embodiment of the present invention
Flow chart, below in conjunction with accompanying drawing, the above-mentioned technical proposal to the embodiment of the present invention is described in detail.
Step A, analyzing radiation meter temperature control system heat transfer mathematical modeling.
Step A specifically includes following processing：
Setting
QR--- the heat that temperature control system receiver is produced
QT--- the heat that temperature control system calandria is produced
TIt is interior--- temperature control system internal temperature
Specific heat inside C --- temperature control system
H --- temperature control system heat transfer coefficient
TOutside--- temperature control system external temperature
QIt is inside and outside--- the heat of outside is passed to inside temperature control system
Td--- with the outside temperature difference inside temperature control system
Receiver heating is analyzed, can be obtained：
Formula 1
Use TdRepresent collated obtain
Formula 2
Because in data acquisition, exterior temperature change is little, therefore can be approximateFor 0, therefore, by drawing
After Laplace transform, the formula is arranged and can obtained
Formula 3
Therefore, transmission function during receiver heating is
Formula 4
In view of system delay L1, this system transter model is
Formula 5
Wherein
K1--- the gain of temperature control system receiver transmission function
T1--- the time constant of temperature control system receiver transmission function
The unit of the transmission function saves response curve as shown in Fig. 2 not considering the transmission function step response that is delayed
Inverse Laplace transform is
Formula 6
Calandria is analyzed, can similarly be obtained：
In view of system delay L2, this system transter model is
Formula 7
Wherein
K2--- the gain of temperature control system calandria transmission function
T2--- the time constant of temperature control system calandria transmission function
The unit of the transmission function saves response curve as shown in Fig. 2 not considering the transmission function step response that is delayed
Inverse Laplace transform is
Formula 8
Therefore, the transmission function of temperature control system is
Formula 9
Step B, obtains data needed for modeling
Step C, the temperature TRANSFER MODEL of receiver is determined by data.
Step C specifically includes following processing：
Step C1, the time delay constant τ of temperature transmission function1, i.e. L in Fig. 2, the process of implementing is：
The temperature data T of temperature control system when being heated according to receiver1i, obtain temperature curve T1iSlope, search slope
Maximum, does the curve near tangent at gradient maxima, and the value that the tangent line intersects with X-axis is the time delay constant of transmission function
τ1。
Step C2, determines system gain K1With time constant T1, i.e. K and T in Fig. 2, the process of implementing is：
Take out T1iMiddle τ1Data afterwards, carry out data fitting according to 6 pairs of data of formula and recognize, the increasing for the transmission function asked
Beneficial K1And time constant T1。
Step D, the temperature for determining calandria by data transmits mathematical modeling.
Step D specifically includes following processing：
Step D1, the time delay constant τ of temperature transmission function2, i.e. L in Fig. 2, the process of implementing is：
Temperature data T when being heated according to calandria2i, obtain temperature curve T2iSlope, search slope maximum,
The curve near tangent is done at gradient maxima, the value that the tangent line intersects with X-axis is the time delay constant τ of transmission function2。
Step D2, determines system gain K2With time constant T2, i.e. K and T in Fig. 2, the process of implementing is：
Take out T2iMiddle τ2Data afterwards, carry out data fitting according to 8 pairs of data of formula and recognize, the increasing for the transmission function asked
Beneficial K2And time constant T2。
In summary, what the present invention provided a kind of radiometer temperature control system heat transfer mathematical modeling sets up analysis method, can
To realize the acquisition of the temperature control system transmission function under varying environment, providing one kind for radiometer temperature control system under different scenes has
The heat transfer mathematical model establishing method of effect.
Claims (3)
1. a kind of method for building up of radiometer temperature control system heat transfer mathematical modeling, it is characterised in that comprise the following steps：Step
A：Analyzing radiation meter temperature control system heat transfer mathematical modeling；Step B：Obtain data needed for modeling；Step C：Set up and connect by data
The temperature TRANSFER MODEL of receipts machine；Step D：The temperature TRANSFER MODEL that receiver and calandria are heated jointly is set up by data；
The step A：Analyzing radiation meter temperature control system heat transfer mathematical modeling, is specifically included：Step A1：Analyze receiver conduct
The heat transfer mathematical modeling of temperature control system during thermal source；Step A2：Calandria is analyzed as the heat transfer number of temperature control system during thermal source
Learn model；Step A3：Analyze under receiver and calandria collective effect, the heat transfer mathematical modeling of temperature control system；
In step A1, specifically include：According to thermodynamic principles, the caloric value of receiver in temperature control system, temperature control box temperature are tried to achieve
Correlation between degree, ambient temperature, tries to achieve the relation of the difference and receiver caloric value of temperature control box temperature and ambient temperature, right
The relation carries out transmission function when Laplace transform can obtain receiver heating, and the step response to the transmission function is carried out
Inverse Laplace transform, can obtain the mathematical modeling of receiver heat transfer effect；
In step A2, specifically include：According to thermodynamic principles, the caloric value of calandria in temperature control system, temperature control box temperature are tried to achieve
Correlation between degree, ambient temperature, tries to achieve the relation of the difference and calandria caloric value of temperature control box temperature and ambient temperature, right
The relation carries out transmission function when Laplace transform can obtain calandria heating, and the step response to the transmission function is carried out
Inverse Laplace transform, can obtain the mathematical modeling of receiver heat transfer effect；
In step A3, specifically include：Knowable to the transmission function of foundation receiver and calandria, radiometer system heat transfer mathematics
Model is both transmission function sums；
Radiometer temperature control system heat transfer mathematical modeling is in the step A
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The step C：The temperature for setting up receiver by data transmits mathematical modeling, specifically includes：Step C1：Temperature is transmitted
The time delay constant τ of function1；Step C2：Determine system gain K1With time constant T1；
In step C1, specifically include：Temperature data T according to temperature control box1i, obtain temperature curve T1iSlope, search slope
Maximum, the curve near tangent is done at gradient maxima, the value that the tangent line intersects with X-axis is that the delay of transmission function is normal
Number τ1；In step C2, specifically include：Take out T1iMiddle τ1The data are carried out data fitting and recognized by data afterwards, the transmission asked
The gain K of function system1And time constant T1。
2. the method for building up of radiometer temperature control system heat transfer mathematical modeling according to claim 1, it is characterised in that institute
State step D：The temperature for determining calandria by data transmits mathematical modeling, specifically includes：Step D1：Temperature transmission function
Time delay constant τ2；Step D2：Determine system gain K2With time constant T2。
3. the method for building up of radiometer temperature control system heat transfer mathematical modeling according to claim 2, it is characterised in that
In step D1, specifically include：Temperature T according to temperature control box2i, obtain temperature curve T2iSlope, search slope maximum,
The curve near tangent is done at gradient maxima, the value that the tangent line intersects with X-axis is the time delay constant τ of transmission function2；In step
In rapid D2, specifically include：Take out T2iMiddle τ2The data are carried out data fitting and recognized by data afterwards, the increasing for the transmission function asked
Beneficial K2And time constant T2。
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| CN109949550A (en) * | 2019-02-28 | 2019-06-28 | 成都派沃特科技股份有限公司 | The cloud monitoring system of distributive data center equipment state |
| CN109828618A (en) * | 2019-02-28 | 2019-05-31 | 成都派沃特科技股份有限公司 | Data center apparatus measure and control device based on artificial intelligence technology |
| CN110095980A (en) * | 2019-03-25 | 2019-08-06 | 安徽工程大学 | Room heater temperature control system model and its robust AF panel control method |
| CN110296774B (en) * | 2019-07-04 | 2021-03-09 | 中国航空工业集团公司沈阳飞机设计研究所 | Method for quickly identifying heat load of liquid cooling plate |
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