CN117408041A - Multi-point temperature measurement-based method for calculating average temperature of primary loop coolant of nuclear pipeline - Google Patents
Multi-point temperature measurement-based method for calculating average temperature of primary loop coolant of nuclear pipeline Download PDFInfo
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- 238000009529 body temperature measurement Methods 0.000 title claims abstract description 19
- 238000004088 simulation Methods 0.000 claims abstract description 43
- 238000004364 calculation method Methods 0.000 claims abstract description 21
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- 239000000446 fuel Substances 0.000 description 2
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- 238000005253 cladding Methods 0.000 description 1
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Abstract
The invention discloses a multi-point temperature measurement-based method for calculating the average temperature of a primary loop coolant of a nuclear pipeline, which belongs to the technical field of nuclear pipeline temperature measurement and comprises the following steps: acquiring design parameters of a power plant, and constructing a simulation temperature field; establishing error distribution under a calibration working condition based on the simulation temperature field and the actually measured temperature under the calibration working condition; correcting the measured temperature based on the error distribution under the calibration working condition to obtain corrected measured temperature; correcting the simulation temperature field based on the corrected measured temperature according to the design parameters of the power plant to obtain a target temperature field set and probability density distribution of the target temperature field; and calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the target temperature field set and the probability density distribution of the target temperature field. According to the invention, error distribution characteristics are introduced based on measured data, and temperature distribution under real conditions is fitted, so that high-precision calculation of the average temperature of the coolant is realized, and the problem of insufficient precision of the conventional nuclear pipeline temperature measurement method is solved.
Description
Technical Field
The invention belongs to the technical field of nuclear pipeline temperature measurement, and particularly relates to a nuclear pipeline primary loop coolant average temperature calculation method based on multipoint temperature measurement.
Background
The nuclear power reactor is a fast and efficient conversion device of three kinds of energy, namely nuclear, thermal and dynamic, with high power density, high operation parameters and high safety requirements, so that timely and accurate control of nuclear energy release and heat energy transmission states of a nuclear reactor core is an important basis for ensuring safe and reliable operation of the reactor. According to the structure and the working principle of the pressurized water reactor, the temperature of the coolant in the hot section of the main pipeline of the nuclear reactor system can directly reflect the nuclear power and the heat exchange state of the reactor core, and is a core parameter for controlling the nuclear reactor power and protecting the safety. If the temperature of the primary loop is too low, the power generation requirement of the nuclear power plant cannot be met; if the temperature of a loop is too high, the fuel cladding may be damaged or even the fuel pellets may be melted, endangering the safety of the power station. The measurement of the primary loop coolant temperature of a nuclear power plant plays a vital role in the safety and economy of the nuclear power plant.
The important thermal parameter required by the nuclear power plant is the average temperature inside a pipeline, which directly determines the temperature of a primary loop coolant of the nuclear power plant, and the existing calculation method is that 4 independent measuring points are arranged at proper positions according to a simulation model, and the measured values are used for arithmetic average. However, the measured value used by the calculation method has errors, the calculated average temperature has lower precision, the whole method has no theoretical basis, and the reliability is lower.
Disclosure of Invention
Aiming at the defects in the prior art, the method for calculating the average temperature of the primary loop coolant of the nuclear pipeline based on multipoint temperature measurement provided by the invention introduces error distribution characteristics based on measured data, and fits the temperature distribution under the real condition, so that the high-precision calculation of the average temperature of the coolant is realized, and the problem of the defect of the existing method for measuring the temperature of the nuclear pipeline that the precision is insufficient is solved.
In order to achieve the aim of the invention, the invention adopts the following technical scheme:
the invention provides a nuclear pipeline primary loop coolant average temperature calculating method based on multipoint temperature measurement, which comprises the following steps:
s1, acquiring design parameters of a power plant, and constructing a simulation temperature field;
s2, establishing error distribution under a calibration working condition based on the simulation temperature field and the actual measurement temperature under the calibration working condition;
s3, correcting the measured temperature based on error distribution under the calibration working condition to obtain corrected measured temperature;
s4, correcting the simulation temperature field based on the corrected measured temperature according to the design parameters of the power plant to obtain a target temperature field set and probability density distribution of the target temperature field;
s5, calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the target temperature field set and the probability density distribution of the target temperature field.
The beneficial effects of the invention are as follows: according to the nuclear pipeline primary loop coolant average temperature calculation method based on multipoint temperature measurement, aiming at a calibrated working condition, the working condition is corresponding to measurement error distribution by acquiring an actual temperature measurement value, errors in the measurement value are removed, and a temperature field is inverted by utilizing corrected actual measurement data, so that complete temperature distribution information is mastered, and high-precision calculation of average temperature is realized.
Further, the design parameters of the power plant in the step S1 are boundary condition information under the calibration working condition; the boundary condition information comprises average mass flow, total reactor core outlet flow, total upper head bypass flow, upper head bypass flow temperature and hot section outlet static pressure.
The beneficial effects of adopting the further scheme are as follows: according to the method, simulation modeling of the temperature field is performed based on the boundary condition information, and the uncertainty of the boundary condition information is provided during nuclear power plant design, so that the reliability and the accuracy of the method are high.
Further, the step S2 includes the following steps:
s21, taking the simulation temperature field as a real temperature field according to the calibration working condition, and obtaining simulation temperatures of four measuring points in the real temperature field;
s22, obtaining actual measurement temperatures of the four measuring points under a calibration working condition, and carrying out statistics to obtain probability density distribution of the four measuring points;
s23, establishing error distribution under a calibration working condition based on simulation temperature, probability density distribution and actual measurement temperature under the calibration working condition of the four measuring points;
the calculation expression of the error distribution under the calibration working condition is as follows:
wherein e represents the temperature error of the measuring point,simulation temperature representing the measurement point in the real temperature field, +.>The measured temperature of the measuring point under the calibration working condition is represented, E represents the temperature error value result, and +.>The measured temperature value result is shown,representing the error distribution of the ith measurement point, +.>Representing probabilities，/>Represents the probability density distribution of the i-th measurement point, i represents the i-th measurement point, wherein i=1, 2,3,4.
The beneficial effects of adopting the further scheme are as follows: the invention quantifies the error by using the statistical characteristic, establishes the corresponding relation between the working condition and the error, and provides a basis for correcting the measured temperature.
Further, the calculation expression of the corrected measured temperature in S3 is as follows:
wherein,indicating the temperature of the modified i-th measuring point,/->Indicating the measured temperature of the ith measuring point under the calibration condition,/for>Representing the corrected temperature value result of the ith measuring point,/>Indicating the corrected temperature of the p-th measuring point, < >>Indicating the corrected temperature of the qth measurement point,/-)>Indicating the corrected temperature of the 1 st measuring point, < >>Indicating the corrected temperature of the 2 nd measuring point,/for>Indicating the corrected temperature of the 3 rd measuring point, < + >>Indicating the temperature after correction of the 4 th measuring point, < >>Indicates satisfaction of (I)>Representing a consistency rule, +.>The representation can be sufficient to enable->Representing the rule of temperature gradient>Representing the measured temperature of the p-th measurement point, +.>Represents the measured temperature of the qth measurement point, +.>Indicating the measured temperature at the 1 st measuring point, +.>Indicating the measured temperature at the 2 nd measuring point, +.>Indicating the measured temperature of the 3 rd measuring point, +.>The measured temperature at the 4 th measuring point is shown,representing the temperature gradient in the simulated temperature field, +.>Represents the temperature distribution function, x represents the edge +.>To->Gradient direction of->Representing proximity.
The beneficial effects of adopting the further scheme are as follows: the invention realizes error compensation through probability, the compensation value corresponds to the working condition, and provides a calculation method for actually measured temperature correction for variables, and provides a basis for obtaining a target temperature field set and probability density distribution of the target temperature field.
Further, the step S4 includes the following steps:
s41, taking boundary condition information as normally distributed data according to uncertainty of the boundary condition information in the design parameters of the power plant;
s42, correcting the boundary condition information based on the corrected measured temperature to obtain a corresponding corrected simulation temperature field;
the corresponding calculation expression of the corrected simulation temperature field is as follows:
wherein,indicating the temperature of the ith measuring point in the simulated temperature field N,/->Indicating the relative error in temperature;
s43, defining a target temperature field set: if the relative temperature errors are smaller than the preset error threshold under the condition that the four measuring points are all met, the corrected simulation temperature fields formed by the four measuring points meet the requirements, and all corrected simulation temperature fields meeting the requirements form a target temperature field set;
s44, calculating to obtain probability density distribution of the target temperature field based on the temperature relative error and a preset error threshold value according to the non-uniqueness of the corrected simulation temperature field meeting the requirements in the target temperature field set;
the probability density distribution of the target temperature field is calculated as follows:
wherein N represents the target temperature field selection result,representing the target temperature field, ">Representing a simulated temperature field->Corresponding boundary condition information->Representing the total number of target temperature fields, C representing a preset error threshold,/->Representing a set of all temperature fields that can be constituted.
The beneficial effects of adopting the further scheme are as follows: in the invention, the simulation temperature field is only used as prior information, the actual measurement data after compensation is used for correcting the simulation temperature field, the final real temperature field is obtained on the basis of the prior information, and the simulation temperature field is not directly used as the real field.
Further, the step S5 includes the following steps:
s51, calculating to obtain the average temperature of each target temperature field in the target temperature field set by using an area-temperature method;
the calculation expression of the average temperature of each target temperature field is as follows:
wherein,represents the average temperature of the target temperature field, +.>Representing differential area in target temperature field>Temperature at (I/O)>Representing the total area of the target temperature field;
s52, calculating an expectation of the average temperature of all target temperature fields in the target temperature field set based on the probability density distribution of the target temperature fields to obtain the average temperature of the primary loop coolant of the nuclear pipeline;
the calculated expression of the average temperature of the primary loop coolant of the nuclear pipeline is as follows:
wherein,represents the core tube-loop coolant average temperature, < + >>Indicate->A target temperature field, wherein,。
the beneficial effects of adopting the further scheme are as follows: according to the invention, error distribution characteristics are introduced based on measured data, and temperature distribution under real conditions is fitted, so that high-precision calculation of the average temperature of the coolant is realized.
Other advantages that are also present with respect to the present invention will be more detailed in the following examples.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments will be briefly described below, it being understood that the following drawings only illustrate some embodiments of the present invention and therefore should not be considered as limiting the scope, and other related drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a flowchart of a method for calculating an average temperature of a primary loop coolant of a nuclear pipeline based on multipoint temperature measurement according to an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. The components of the embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the invention, as presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be made by a person skilled in the art without making any inventive effort, are intended to be within the scope of the present invention.
As shown in fig. 1, in one embodiment of the present invention, the present invention provides a method for calculating an average temperature of a primary loop coolant of a nuclear pipeline based on multipoint temperature measurement, comprising the steps of:
s1, acquiring design parameters of a power plant, and constructing a simulation temperature field;
the design parameters of the power plant in the S1 are boundary condition information under the calibration working condition; the boundary condition information comprises average mass flow, total reactor core outlet flow, total upper head bypass flow, upper head bypass flow temperature and hot section outlet static pressure.
The calibration conditions of the design parameters of the power plant are shown in table 1:
TABLE 1
| Average mass flow rate | Total core outlet flow | Upper end socket side flow total flow | Side flow temperature of upper end socket | Static pressure at hot section outlet | |
| Rated full power operating conditions | 81.5kg/s | 14425.5kg/s | 294.4kg/s | 292°C | 15.5MPa |
| Full power thermal design flow operating conditions | 78.4kg/s | 13876.8kg/s | 283.0kg/s | 291.5°C | 15.5MPa |
| Super power operating conditions | 77.9kg/s | 13788.3kg/s | 281.6kg/s | 301.4°C | 16.16MPa |
S2, establishing error distribution under a calibration working condition based on the simulation temperature field and the actual measurement temperature under the calibration working condition;
the step S2 comprises the following steps:
s21, taking the simulation temperature field as a real temperature field according to the calibration working condition, and obtaining simulation temperatures of four measuring points in the real temperature field;
s22, obtaining actual measurement temperatures of the four measuring points under a calibration working condition, and carrying out statistics to obtain probability density distribution of the four measuring points;
s23, establishing error distribution under a calibration working condition based on simulation temperature, probability density distribution and actual measurement temperature under the calibration working condition of the four measuring points;
the calculation expression of the error distribution under the calibration working condition is as follows:
wherein e represents the temperature error of the measuring point,simulation temperature representing the measurement point in the real temperature field, +.>The measured temperature of the measuring point under the calibration working condition is represented, E represents the temperature error value result, and +.>The measured temperature value result is shown,representing the error distribution of the ith measurement point, +.>Representing probability->Represents the probability density distribution of the i-th measurement point, i represents the i-th measurement point, wherein i=1, 2,3,4.
S3, correcting the measured temperature based on error distribution under the calibration working condition to obtain corrected measured temperature;
the calculation expression of the corrected measured temperature in S3 is as follows:
wherein,indicating the temperature of the modified i-th measuring point,/->Indicating the measured temperature of the ith measuring point under the calibration condition,/for>Representing the corrected temperature value result of the ith measuring point,/>Indicating the corrected temperature of the p-th measuring point, < >>Indicating the corrected temperature of the qth measurement point,/-)>Indicating the corrected temperature of the 1 st measuring point, < >>Indicating the corrected temperature of the 2 nd measuring point,/for>Indicating the corrected temperature of the 3 rd measuring point, < + >>Indicating the temperature after correction of the 4 th measuring point, < >>Indicates satisfaction of (I)>Representing a consistency rule, +.>The representation can be sufficient to enable->Representing the rule of temperature gradient>Representing the measured temperature of the p-th measurement point, +.>Represents the measured temperature of the qth measurement point, +.>Indicating the measured temperature at the 1 st measuring point, +.>Indicating the measured temperature at the 2 nd measuring point, +.>Indicating the measured temperature of the 3 rd measuring point, +.>The measured temperature at the 4 th measuring point is shown,representing the temperature gradient in the simulated temperature field, +.>Represents the temperature distribution function, x represents the edge +.>To->Gradient direction of->Representing proximity.
S4, correcting the simulation temperature field based on the corrected measured temperature according to the design parameters of the power plant to obtain a target temperature field set and probability density distribution of the target temperature field;
the step S4 comprises the following steps:
s41, taking boundary condition information as normally distributed data according to uncertainty of the boundary condition information in the design parameters of the power plant;
s42, correcting the boundary condition information based on the corrected measured temperature to obtain a corresponding corrected simulation temperature field;
the corresponding calculation expression of the corrected simulation temperature field is as follows:
wherein,indicating the temperature of the ith measuring point in the simulated temperature field N,/->Indicating the relative error in temperature;
s43, defining a target temperature field set: if the relative temperature errors are smaller than the preset error threshold under the condition that the four measuring points are all met, the corrected simulation temperature fields formed by the four measuring points meet the requirements, and all corrected simulation temperature fields meeting the requirements form a target temperature field set;
s44, calculating to obtain probability density distribution of the target temperature field based on the temperature relative error and a preset error threshold value according to the non-uniqueness of the corrected simulation temperature field meeting the requirements in the target temperature field set;
the probability density distribution of the target temperature field is calculated as follows:
wherein N represents the target temperature field selection result,representing the target temperature field, ">Representing a simulated temperature field->Corresponding boundary condition information->Representing the total number of target temperature fields, C representing a preset error threshold,/->Representing a set of all temperature fields that can be constituted.
S5, calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the target temperature field set and the probability density distribution of the target temperature field.
The step S5 comprises the following steps:
s51, calculating to obtain the average temperature of each target temperature field in the target temperature field set by using an area-temperature method;
the calculation expression of the average temperature of each target temperature field is as follows:
wherein,represents the average temperature of the target temperature field, +.>Representing differential area in target temperature field>Temperature at (I/O)>Representing the total area of the target temperature field;
s52, calculating an expectation of the average temperature of all target temperature fields in the target temperature field set based on the probability density distribution of the target temperature fields to obtain the average temperature of the primary loop coolant of the nuclear pipeline;
the calculated expression of the average temperature of the primary loop coolant of the nuclear pipeline is as follows:
wherein,represents the core tube-loop coolant average temperature, < + >>Indicate->A target temperature field, wherein,。
the foregoing is merely illustrative of the present invention, and the present invention is not limited thereto, and any person skilled in the art will readily recognize that variations or substitutions are within the scope of the present invention.
Claims (6)
1. The method for calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the multipoint temperature measurement is characterized by comprising the following steps of:
s1, acquiring design parameters of a power plant, and constructing a simulation temperature field;
s2, establishing error distribution under a calibration working condition based on the simulation temperature field and the actual measurement temperature under the calibration working condition;
s3, correcting the measured temperature based on error distribution under the calibration working condition to obtain corrected measured temperature;
s4, correcting the simulation temperature field based on the corrected measured temperature according to the design parameters of the power plant to obtain a target temperature field set and probability density distribution of the target temperature field;
s5, calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the target temperature field set and the probability density distribution of the target temperature field.
2. The method for calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the multipoint temperature measurement according to claim 1, wherein the design parameter of the power plant in the step S1 is boundary condition information under a calibration working condition; the boundary condition information comprises average mass flow, total reactor core outlet flow, total upper head bypass flow, upper head bypass flow temperature and hot section outlet static pressure.
3. The method for calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the multipoint temperature measurement according to claim 2, wherein the step S2 comprises the following steps:
s21, taking the simulation temperature field as a real temperature field according to the calibration working condition, and obtaining simulation temperatures of four measuring points in the real temperature field;
s22, obtaining actual measurement temperatures of the four measuring points under a calibration working condition, and carrying out statistics to obtain probability density distribution of the four measuring points;
s23, establishing error distribution under a calibration working condition based on simulation temperature, probability density distribution and actual measurement temperature under the calibration working condition of the four measuring points;
the calculation expression of the error distribution under the calibration working condition is as follows:
wherein e represents the temperature error of the measuring point,simulation temperature representing the measurement point in the real temperature field, +.>The measured temperature of the measuring point under the calibration working condition is represented, E represents the temperature error value result, and +.>Indicating the measured temperature value result, < >>Representing the error distribution of the ith measurement point, +.>Representing probability->Represents the probability density distribution of the i-th measurement point, i represents the i-th measurement point, wherein i=1, 2,3,4.
4. The method for calculating the average temperature of the nuclear pipeline primary loop coolant based on the multipoint temperature measurement according to claim 3, wherein the calculation expression of the corrected measured temperature in S3 is as follows:
wherein,indicating the temperature of the modified i-th measuring point,/->Indicating the measured temperature of the ith measuring point under the calibration condition,/for>Representing the corrected temperature value result of the ith measuring point,/>Indicating the corrected temperature of the p-th measuring point, < >>Indicating the corrected temperature of the qth measurement point,/-)>Indicating the corrected temperature of the 1 st measuring point, < >>Indicating the corrected temperature of the 2 nd measuring point,/for>Indicating the corrected temperature of the 3 rd measuring point, < + >>Indicating the temperature after correction of the 4 th measuring point, < >>The indication is that the satisfaction is provided,representing a consistency rule, +.>The representation can be sufficient to enable->Representing the rule of temperature gradient>Representing the measured temperature of the p-th measurement point, +.>Represents the measured temperature of the qth measurement point, +.>Indicating the measured temperature at the 1 st measuring point, +.>Indicating the measured temperature at the 2 nd measuring point, +.>Indicating the measured temperature of the 3 rd measuring point, +.>The measured temperature at the 4 th measuring point is shown,representing the temperature gradient in the simulated temperature field, +.>Represents the temperature distribution function, x represents the edge +.>To->Gradient direction of->Representing proximity.
5. The method for calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the multipoint temperature measurement according to claim 4, wherein the step S4 comprises the following steps:
s41, taking boundary condition information as normally distributed data according to uncertainty of the boundary condition information in the design parameters of the power plant;
s42, correcting the boundary condition information based on the corrected measured temperature to obtain a corresponding corrected simulation temperature field;
the corresponding calculation expression of the corrected simulation temperature field is as follows:
wherein,indicating the temperature of the ith measuring point in the simulated temperature field N,/->Indicating the relative error in temperature;
s43, defining a target temperature field set: if the relative temperature errors are smaller than the preset error threshold under the condition that the four measuring points are all met, the corrected simulation temperature fields formed by the four measuring points meet the requirements, and all corrected simulation temperature fields meeting the requirements form a target temperature field set;
s44, calculating to obtain probability density distribution of the target temperature field based on the temperature relative error and a preset error threshold value according to the non-uniqueness of the corrected simulation temperature field meeting the requirements in the target temperature field set;
the probability density distribution of the target temperature field is calculated as follows:
wherein N represents the target temperature field selection result,representing the target temperature field, ">Representing a simulated temperature field->Corresponding boundary condition information->Representing the total number of target temperature fields, C representing a preset error threshold,/->Representing a set of all temperature fields that can be constituted.
6. The method for calculating the average temperature of the primary loop coolant of the nuclear pipeline based on the multipoint temperature measurement according to claim 5, wherein the step S5 comprises the following steps:
s51, calculating to obtain the average temperature of each target temperature field in the target temperature field set by using an area-temperature method;
the calculation expression of the average temperature of each target temperature field is as follows:
wherein,represents the average temperature of the target temperature field, +.>Representing differential area in target temperature field>Temperature at (I/O)>Representing the total area of the target temperature field;
s52, calculating an expectation of the average temperature of all target temperature fields in the target temperature field set based on the probability density distribution of the target temperature fields to obtain the average temperature of the primary loop coolant of the nuclear pipeline;
the calculated expression of the average temperature of the primary loop coolant of the nuclear pipeline is as follows:
wherein,represents the core tube-loop coolant average temperature, < + >>Indicate->A target temperature field, wherein,。
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| US20040114703A1 (en) * | 2001-03-29 | 2004-06-17 | Bolton Roland Leslie John | Method of and control system for controlling a nuclear reactor outlet temperature |
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| US20220405446A1 (en) * | 2020-06-16 | 2022-12-22 | Shanghai Jiao Tong University | High-precision high-fidelity real-time simulation and behavior prediction method and device for nuclear power station |
| CN114462336A (en) * | 2022-04-11 | 2022-05-10 | 四川大学 | Method for calculating average temperature of coolant of main pipeline of nuclear reactor |
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