CN113251669A - Constant temperature control method for sectional self-adaptive PI gas water heater - Google Patents

Constant temperature control method for sectional self-adaptive PI gas water heater Download PDF

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CN113251669A
CN113251669A CN202110528393.3A CN202110528393A CN113251669A CN 113251669 A CN113251669 A CN 113251669A CN 202110528393 A CN202110528393 A CN 202110528393A CN 113251669 A CN113251669 A CN 113251669A
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water heater
water
constant temperature
adaptive
control
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陈从颜
蒋彦炜
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Southeast University
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Southeast University
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24HFLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
    • F24H9/00Details
    • F24H9/20Arrangement or mounting of control or safety devices
    • F24H9/2007Arrangement or mounting of control or safety devices for water heaters
    • F24H9/2035Arrangement or mounting of control or safety devices for water heaters using fluid fuel

Abstract

The invention discloses a sectional self-adaptive PI gas water heater constant temperature control method, which comprises the steps of firstly adopting pole allocation to adjust control parameters on line according to a water heater system model, thus obtaining good control performance when water flow changes, secondly adopting sectional control to improve the heating speed of the water heater, and adopting different control parameters when the difference between the set temperature and the outlet water temperature is in different ranges. The method is simple in calculation and suitable for industrial production.

Description

Constant temperature control method for sectional self-adaptive PI gas water heater
Technical Field
The invention relates to a constant temperature control method for a sectional self-adaptive PI gas water heater, and belongs to the technical field of constant temperature control.
Background
To improve the rapidity and comfort of gas water heaters, various control algorithms are applied to gas water heaters. At present, a PID control method is generally adopted by a gas water heater, the method is simple to implement, and a satisfactory control effect is difficult to obtain when the water flow changes. Later, methods such as fuzzy control, neural network control, expert system, intelligent control and the like are proposed to improve the constant temperature control performance of the water heater, but the methods are complex in calculation, have high requirements on control chips and increase the industrial production cost. With the development of manufacturing technology and sensors of gas water heaters and accurate measurement platforms, the establishment of a water heater model becomes more accurate and simpler. The invention provides a constant temperature control method of a sectional self-adaptive PI gas water heater, which is based on the background that the water inlet temperature, the water outlet temperature and the water flow of the water heater can be measured, too complicated operation is not required to be carried out, and the constant temperature control performance is considered.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to provide a constant temperature control method of a sectional self-adaptive PI gas water heater, which can perform constant temperature control on the water heater, quicken response time, reduce overshoot and obtain good control effect under the condition of water flow change.
The technical scheme is as follows: in order to achieve the purpose, the invention adopts the following technical scheme:
the invention relates to a constant temperature control method of a sectional self-adaptive PI gas water heater, which comprises the following steps:
s1: establishing a water heater system model according to an energy conservation law, wherein the water heater system model is as follows:
Figure BDA0003067197530000011
wherein eta is the combustion heat efficiency, k is the proportional coefficient of current and the opening of a gas valve, H is the natural gas heat value, wf is the water flow, rho is the density of water, Ce is the specific heat capacity of water, M is the mass of water in a water pipe in the water heater, and t is the mass of water in the water pipe in the water heaterstartThe ignition delay of the water heater is shown, r is the radius of the water pipe, and L is the length of the water pipe.
5. S2: setting control parameters on line by adopting a pole configuration method according to a water heater system model; a PI controller of the form:
Figure BDA0003067197530000012
the water heater system model in step S1 is abbreviated as:
Figure BDA0003067197530000021
wherein
Figure BDA0003067197530000022
Neglecting multiple zero poles brought by pure hysteresis links, the closed-loop transfer function of the water heater system is as follows:
Figure BDA0003067197530000023
the zero point of the closed loop transfer function of the water heater system is:
Figure BDA0003067197530000024
the poles of the closed loop transfer function of the water heater system are as follows:
Figure BDA0003067197530000025
a pole-zero allocation method is adopted to allocate a pole to the zero point, then
Figure BDA0003067197530000026
The control parameters can be found to be:
Figure BDA0003067197530000027
s3: and adjusting the proportionality coefficient of the control parameter according to the threshold range of the difference between the set temperature and the outlet water temperature. If the difference between the set temperature and the outlet water temperature is e, the threshold value is lambdapAnd if the control parameter proportional coefficient is alpha, the control parameter is as follows:
Figure BDA0003067197530000028
s4: in order to avoid the disturbance of water flow fluctuation on the control parameters and further influence the steady state performance of the control system, the parameters are updated when the water flow change exceeds 0.5L/min.
Has the advantages that: the invention discloses a constant temperature control method for a sectional self-adaptive PI gas water heater, which can accelerate the response speed, reduce the overshoot, adjust the PI parameter on line and have good control effect under the condition of water flow change. The method is simple in calculation and suitable for industrial production.
Drawings
FIG. 1 is a block diagram of a control system according to the present invention;
FIG. 2 is a graph of temperature curves for conventional PI and piecewise adaptive PI at different water flows.
Detailed Description
The technical scheme of the invention is explained in detail in the following with reference to the attached drawings. The embodiment is merely an example to clearly verify the technical solution of the present invention, and the protection scope of the present invention is not limited thereby.
It is to be noted that, unless otherwise specified, technical terms used in the present application should have the ordinary meanings as understood by those skilled in the art to which the present invention belongs.
As shown in fig. 1, a method for controlling the constant temperature of a segment adaptive PI gas water heater includes the following steps:
s1: establishing a water heater system model according to an energy conservation law, wherein the water heater system model is as follows:
Figure BDA0003067197530000031
wherein eta is the combustion heat efficiency, k is the proportional coefficient of current and the opening of a gas valve, H is the natural gas heat value, wf is the water flow, rho is the density of water, Ce is the specific heat capacity of water, M is the mass of water in a water pipe in the water heater, and t is the mass of water in the water pipe in the water heaterstartThe ignition delay of the water heater is shown, r is the radius of the water pipe, and L is the length of the water pipe.
6. S2: setting control parameters on line by adopting a pole configuration method according to a water heater system model; a PI controller of the form:
Figure BDA0003067197530000032
the water heater system model in step S1 is abbreviated as:
Figure BDA0003067197530000033
wherein
Figure BDA0003067197530000034
Neglecting multiple zero poles brought by pure hysteresis links, the closed-loop transfer function of the water heater system is as follows:
Figure BDA0003067197530000041
the zero point of the closed loop transfer function of the water heater system is:
Figure BDA0003067197530000042
the poles of the closed loop transfer function of the water heater system are as follows:
Figure BDA0003067197530000043
a pole-zero allocation method is adopted to allocate a pole to the zero point, then
Figure BDA0003067197530000044
The control parameters can be found to be:
Figure BDA0003067197530000045
s3: and adjusting the proportionality coefficient of the control parameter according to the threshold range of the difference between the set temperature and the outlet water temperature. If the difference between the set temperature and the outlet water temperature is e, the threshold value is lambdapAnd if the control parameter proportional coefficient is alpha, the control parameter is as follows:
Figure BDA0003067197530000046
Figure BDA0003067197530000047
s4: in order to avoid disturbance of water flow fluctuation on control parameters and further influence on the steady-state performance of a control system, the parameters are updated when the water flow changes over 0.5L/min, as shown in FIG. 2, the temperature curves of the traditional PI and the segmented adaptive PI under different water flows.
Finally, it should be noted that: the above embodiments are merely detailed illustrations of the technical solution, and are not limitative; although the technical solution of the present invention has been described with reference to the specific embodiment, it should be understood by those skilled in the art; the scheme of the embodiment can be modified or equal replacement can be carried out on parts of the embodiment; such modifications and substitutions are not to be regarded as a departure from the spirit and scope of the present invention as set forth in the appended claims and their description.

Claims (5)

1. A constant temperature control method for a sectional self-adaptive PI gas water heater is characterized by comprising the following steps: the method comprises the following steps:
s1: establishing a water heater system model according to an energy conservation law;
s2: setting control parameters on line by adopting a pole configuration method according to a water heater system model;
s3: adjusting the proportional coefficient of the control parameter according to the threshold range of the difference between the set temperature and the outlet water temperature;
s4: in order to avoid the disturbance of water flow fluctuation on the control parameters and further influence the steady state performance of the control system, the parameters are updated when the water flow change exceeds 0.5L/min.
2. The method for controlling the constant temperature of the segmented adaptive PI gas water heater according to claim 1, wherein the method comprises the following steps: in step S1, the water heater system model is:
Figure FDA0003067197520000011
wherein eta is the combustion heat efficiency, k is the proportional coefficient of current and the opening of a gas valve, H is the natural gas heat value, wf is the water flow, rho is the density of water, Ce is the specific heat capacity of water, M is the mass of water in a water pipe in the water heater, and t is the mass of water in the water pipe in the water heaterstartThe ignition delay of the water heater is shown, r is the radius of the water pipe, and L is the length of the water pipe.
3. The method for controlling the constant temperature of the segmented adaptive PI gas water heater according to claim 1, wherein the method comprises the following steps: in step S2, the pole allocation method is expressed in the form of a PI controller:
Figure FDA0003067197520000012
the water heater system model in the step S1 is abbreviated as:
Figure FDA0003067197520000013
wherein
Figure FDA0003067197520000014
Neglecting multiple zero poles brought by pure hysteresis links, the closed-loop transfer function of the water heater system is as follows:
Figure FDA0003067197520000015
the zero point of the closed loop transfer function of the water heater system is:
Figure FDA0003067197520000016
the poles of the closed loop transfer function of the water heater system are as follows:
Figure FDA0003067197520000021
a pole-zero allocation method is adopted to allocate a pole to the zero point, then
Figure FDA0003067197520000022
The control parameters can be found to be:
Figure FDA0003067197520000023
4. the method for controlling the constant temperature of the segmented adaptive PI gas water heater according to claim 1, wherein the method comprises the following steps: in the step S3, the difference between the set temperature and the outlet water temperature is e, and the threshold is λpAnd if the control parameter proportional coefficient is alpha, the control parameter is as follows:
Figure FDA0003067197520000024
5. the method for controlling the constant temperature of the segmented adaptive PI gas water heater according to claim 4, wherein the method comprises the following steps: in step S3, the control parameter is updated when the water flow rate changes by more than 0.5L/min.
CN202110528393.3A 2021-05-14 2021-05-14 Constant temperature control method for sectional self-adaptive PI gas water heater Pending CN113251669A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115079562A (en) * 2022-07-20 2022-09-20 中国飞机强度研究所 Determination method of temperature change control method for testing thermal strength of aerospace plane

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
蒋彦炜,陈从颜: "一种分段PI参数自整定的燃气热水器控制方法", 《工业控制计算机》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115079562A (en) * 2022-07-20 2022-09-20 中国飞机强度研究所 Determination method of temperature change control method for testing thermal strength of aerospace plane
CN115079562B (en) * 2022-07-20 2022-11-01 中国飞机强度研究所 Determination method of temperature change control method for testing thermal strength of aerospace plane

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