CN114781109A - Method, terminal and medium for building discretization model of steam generator of nuclear power plant - Google Patents

Method, terminal and medium for building discretization model of steam generator of nuclear power plant Download PDF

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Publication number
CN114781109A
CN114781109A CN202210143164.4A CN202210143164A CN114781109A CN 114781109 A CN114781109 A CN 114781109A CN 202210143164 A CN202210143164 A CN 202210143164A CN 114781109 A CN114781109 A CN 114781109A
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model
working medium
control body
loop
temperature
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孙鑫宇
袁景淇
顾凯
栾振华
惠久武
孙伟
胡诗曲
董贺
张禹
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Shanghai Jiaotong University
China Nuclear Power Engineering Co Ltd
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Shanghai Jiaotong University
China Nuclear Power Engineering Co Ltd
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation

Abstract

The invention relates to the technical field of nuclear power plant simulation and operation optimization, and discloses a method, a device, a terminal and a medium for building a discretization model of a nuclear power plant steam generator. The method for constructing the discretization model of the steam generator of the nuclear power plant comprises the following steps: acquiring operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j; according to the operation data of the secondary side inlet working medium and the temperature, the pressure and the flow velocity of the first loop working medium and the second loop working medium obtained by the calculation of the model at the moment j-1, a descending channel model is established, and the state variable of the outlet working medium at the bottom of a descending channel at the moment j is obtained; the method for constructing the discretization model of the nuclear power steam generator can obtain the accurate value of the vaporization starting height of the ascending channel on the secondary side of the steam generator, further reduce the accumulated error of the boiling section of the ascending channel on the secondary side, obtain more accurate distribution of working medium temperature, pressure, flow velocity and gas content rate, and remarkably improve the simulation speed of the model.

Description

Method, terminal and medium for building discretization model of nuclear power plant steam generator
Technical Field
The invention relates to the technical field of nuclear power plant simulation and operation optimization, in particular to a method, a terminal and a medium for constructing a discretization model of a steam generator of a nuclear power plant.
Background
A vertical inverted U-shaped tubular natural circulation steam generator is one of main devices widely used in the nuclear power generation process. The steam generator transfers the heat of the primary loop coolant to the secondary loop working medium, and meanwhile, the radiation of the primary loop coolant is isolated. The working medium of the second loop entering the steam generator is distributed to the hot section and the cold section through a water supply ring; mixing feed water with recirculated water at the outlet of the steam-water separator to form recirculated water; circulating water flows through the descending channel and the ascending channel, and exchanges heat with the metal wall of the inverted U-shaped pipe in the ascending channel and boils to form gas-liquid two-phase flow; the gas-liquid two-phase flow enters a steam-water separator, the liquid phase part of the gas-liquid two-phase flow becomes recycled water, and the gas phase is converged into a steam main pipe.
In the computer simulation of the steam generator, especially in the calculation of the distributed parameter model, the steam generator needs to be divided into a plurality of control bodies; in the calculation of the two-loop ascending channel, a control body of which the temperature of the working medium reaches the saturation temperature corresponding to the pressure for the first time is defined as a vaporization starting control body, the height of the vaporization starting control body is defined as a vaporization starting height, and the vaporization starting control body is calculated according to a liquid phase or a gas-liquid mixed phase; the method brings truncation errors and causes jump of an output variable when the height of a vaporization starting control body changes, and therefore a method, a terminal and a medium for constructing a discretization model of a steam generator of a nuclear power plant are provided to solve the problems.
Disclosure of Invention
The invention aims to solve the problem that in the prior art, a steam generator needs to be divided into a plurality of control bodies in computer simulation of the steam generator, particularly in calculation of a distributed parameter model; in the calculation of the two-loop ascending channel, a control body of which the temperature of the working medium reaches the saturation temperature corresponding to the pressure for the first time is defined as a vaporization starting control body, the height of the vaporization starting control body is defined as a vaporization starting height, and the vaporization starting control body is calculated according to a liquid phase or a gas-liquid mixed phase; the method, the terminal and the medium for constructing the discretization model of the steam generator of the nuclear power plant are provided, and the problems of truncation errors and jump of an output variable caused by the change of the height of a vaporization starting control body are solved.
In order to achieve the purpose, the invention adopts the following technical scheme:
a nuclear power plant steam generator discretization model building method comprises the following steps:
acquiring operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j;
establishing a descending channel model according to the operating data of the secondary side inlet working medium and the temperature, pressure and flow velocity of the first and second loop working media obtained by the model calculation at the moment j-1, and obtaining the state variable of the outlet working medium at the bottom of the descending channel at the moment j;
establishing a relevant model of the control body i according to the state variable of the outlet working medium at the bottom of the descending channel, the calculated state variable of the control body and the temperature, the pressure and the flow speed of the working medium of the first loop and the second loop obtained by model calculation at the moment of j-1;
judging whether the control body i at the moment j-1 is vaporized or not;
judging whether the secondary side working medium at the position is saturated or not according to the temperature and the pressure of the secondary side working medium of the control body i;
taking the output value obtained by model calculation at the moment j-1, the state variable of the control body which is obtained by the previous step and is already calculated as the input value of the model corresponding to the moment i + 1;
judging whether the control body calculation is finished or not;
and calculating the physical parameters of the working medium at each position of the steam generator at the moment j according to the temperature, the pressure and the gas content of each position of the steam generator obtained in the step, and using the physical parameters for the operation at the moment j + 1.
According to one embodiment of the method for constructing the discretization model of the steam generator of the nuclear power plant, a relevant model of a control body i is established according to the state variable of the working medium at the bottom outlet of the descending channel, the calculated state variable of the control body and the temperature, the pressure and the flow rate of the working medium of the first loop and the second loop obtained by the model calculation at the moment of j-1, and the calculation steps are as follows:
establishing a loop coolant model of a control body i, and calculating to obtain the temperature, the pressure and the flow velocity of a primary side working medium;
establishing an inverted U-shaped tube metal wall model of a control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
establishing a two-loop working medium preheating section model of a control body i, and calculating to obtain the temperature, the pressure and the flow speed of a secondary side working medium;
and respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
According to one embodiment of the method for constructing the discretization model of the steam generator of the nuclear power plant, whether the secondary side working medium is saturated or not is judged according to the temperature and the pressure of the secondary side working medium of the control body i: if not, returning to the step three to calculate a primary circuit coolant model, an inverted U-shaped pipe metal wall model and a secondary circuit working medium preheating section model of the control body i + 1;
if the control body i is saturated, defining the control body i as a vaporization starting control body, establishing a two-loop working medium vaporization starting control body model, and obtaining state variables of a liquid phase and a gas-liquid mixed phase of the vaporization starting control body, wherein the state variables comprise: the vaporization initiation controls the temperature, pressure, flow rate and gas content of the liquid phase and the gas-liquid mixed phase.
According to one embodiment of the method for constructing the discretization model of the steam generator of the nuclear power plant, an output value calculated according to the data obtained in the previous step, the state variable of the control body after calculation and the model at the time of j-1 is used as an input value of the corresponding model at the time of i +1, and the calculating steps are as follows:
establishing a loop coolant model of a control body i, and calculating to obtain the temperature, the pressure and the flow velocity of a primary side working medium;
establishing an inverted U-shaped pipe metal wall model of the control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
establishing a two-loop working medium boiling section model of a control body i, and calculating to obtain the temperature, the pressure, the flow speed and the air content of a secondary side working medium;
and respectively taking the output values of the primary loop coolant model, the inverted U-shaped tube metal wall model and the secondary loop working medium boiling section model of the control body i as the input values of the primary loop coolant model, the inverted U-shaped tube metal wall model and the secondary loop working medium preheating section model of the control body i + 1.
According to one embodiment of the method for building the discretization model of the steam generator of the nuclear power plant, whether the calculation of the control body is completed or not is judged, if the calculation of the control body is not completed, the method returns to the step six to calculate the primary loop coolant model, the inverted U-shaped pipe metal wall model and the secondary loop working medium boiling section model of the control body i + 1;
if all the control bodies are calculated, establishing a steam-water separator model by using the temperature, pressure, flow velocity and gas content of the outlet working medium of the last control body obtained in the step S6, and obtaining the temperature, pressure, flow velocity and mass flow of the gas-phase working medium at the outlet of the steam-water separator.
In order to achieve the above object, the present invention provides a discretization model construction apparatus for a steam generator of a nuclear power plant, which includes:
the operation data acquisition module is used for acquiring operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j;
the descending channel model establishing module is used for establishing a descending channel model according to the operating data of the secondary side inlet working medium and the temperature, pressure and flow rate of the first loop working medium and the second loop working medium obtained by the model calculation at the moment j-1 to obtain the state variable of the outlet working medium at the bottom of the descending channel at the moment j;
the control body i correlation model building module is used for building a control body i correlation model according to the state variable of the outlet working medium at the bottom of the descending channel, the calculated state variable of the control body and the temperature, the pressure and the flow speed of the working medium of the first loop and the second loop obtained by the model calculation at the moment j-1;
the vaporization judgment module is used for judging whether the control body i at the moment j-1 is vaporized or not;
the saturation judging module is used for judging whether the secondary side working medium at the position is saturated or not according to the temperature and the pressure of the secondary side working medium of the control body i;
the model calculation and transmission module is used for calculating an output value according to the data obtained by the saturation judgment module, the state variable of the control body after calculation and the j-1 moment model and taking the output value as an input value of the model corresponding to the i +1 moment;
the calculation judgment module is used for judging whether the calculation of the control body is finished;
and the physical property parameter calculating module is used for calculating the physical property parameters of the working medium at each position of the steam generator at the moment j according to the temperature, the pressure and the gas content rate of each position of the steam generator obtained by all the modules and is used for calculating at the moment j + 1.
According to one embodiment of the discretization model construction device for the steam generator of the nuclear power plant, the related model building module of the control body i comprises:
the first coolant model establishing unit is used for establishing a loop coolant model of the control body i and calculating the temperature, the pressure and the flow speed of the primary side working medium;
the first metal wall model establishing unit is used for establishing an inverted U-shaped tube metal wall model of the control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
the preheating section model establishing unit is used for establishing a two-loop working medium preheating section model of the control body i and calculating the temperature, the pressure and the flow speed of the secondary side working medium;
and the data transmission unit is used for respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
According to one embodiment of the discretization model construction device of the steam generator of the nuclear power plant, the model calculating and transmitting module comprises:
the second coolant model establishing unit is used for establishing a loop coolant model of the control body i and calculating the temperature, the pressure and the flow speed of the primary side working medium;
the second metal wall model establishing unit is used for establishing an inverted U-shaped tube metal wall model of the control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
the boiling section model establishing unit is used for establishing a two-loop working medium boiling section model of the control body i and calculating the temperature, the pressure, the flow rate and the gas content of the secondary side working medium;
and the data transmission unit is used for respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium boiling section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
Compared with the prior art, the invention has the following beneficial effects:
1. the method for constructing the discretization model of the nuclear power steam generator can obtain the accurate value of the vaporization starting height of the secondary side ascending channel of the steam generator, further reduce the accumulated error of the boiling section of the secondary side ascending channel and obtain more accurate distribution of the temperature, the pressure, the flow rate and the gas content rate of the working medium.
2. According to the nuclear power steam generator discretization model construction method, the physical property parameters of the working medium at the previous moment are used for replacing the physical property parameters at the current moment, and the simulation speed of the model can be remarkably improved.
Drawings
FIG. 1 is a schematic flow chart of a method for building a discretization model of a steam generator of a nuclear power plant according to the present invention;
FIG. 2 is a diagram illustrating a variation of output power of a nuclear power generating unit according to an embodiment of the present invention;
FIG. 3 is a diagram showing the simulation result of mass gas content of the working medium in the second loop of the hot section in the embodiment of the present invention;
FIG. 4 is a diagram illustrating the simulation result of the temperature of the working medium in the second loop of the hot zone according to the embodiment of the present invention;
FIG. 5 is a flow chart illustrating a calculation step of establishing a correlation model of a control body i according to a discretization model construction method of a steam generator of a nuclear power plant;
fig. 6 is a schematic calculation flow diagram of step four of the method for constructing the discretized model of the steam generator of the nuclear power plant according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
Referring to fig. 1-6, a discretization model construction method for a steam generator of a nuclear power plant comprises the following steps:
s1: acquiring operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j, wherein the operation data comprises the following steps: the temperature, pressure and mass flow of the primary side inlet working medium and the secondary side inlet working medium;
s2: according to the operation data of the secondary side inlet working medium and the temperature, the pressure and the flow velocity of the first loop working medium and the second loop working medium obtained by the model calculation at the moment j-1, a descending channel model is established, and the state variable of the descending channel bottom outlet working medium at the moment j is obtained, wherein the state variable comprises the following components: bottom outlet of descending channelThe temperature, pressure and mass flow of the working medium, and the descending channel model are divided into a hot section model and a cold section model, and the ratio
Figure BDA0003507355280000081
The feed water of (2) flows into the hot section
Figure BDA0003507355280000082
The feed water of (2) flows into the cold section in proportion
Figure BDA0003507355280000083
The recycled water flows into the hot section in proportion
Figure BDA0003507355280000084
The recirculation water flows into a cold section, and a hot section model of a descending channel model is constructed according to the following formula:
Figure BDA0003507355280000085
Figure BDA0003507355280000086
Figure BDA0003507355280000087
Figure BDA0003507355280000088
in the formula, superscript j is the current time, j-1 is the previous time, and dt is the discrete calculation time interval; gHL,DCThe mass flow of the working medium at the outlet of the hot section descending channel; gfwThe total mass flow of the water supply at the inlet of the descending channel of the hot section and the cold section; grwThe mass flow of the recirculated water at the inlet of the descending passage of the hot and cold sections; rhoHL,DCIs the working medium density of the hot section descending channel; a. theDCIs the flow area of the downcomer channel; hDCIs a descent passageA height; t is a unit ofHL,DCThe temperature of the working medium at the outlet of the hot section descending channel; cpfwThe specific heat at constant pressure of the feed water at the inlet of the descending channel; cprwThe specific heat at constant pressure of the recirculated water at the inlet of the descending channel; t is a unit offwIs to decrease the temperature of the channel inlet feed water; t is a unit ofrwIs the temperature of the inlet recirculation water of the downcomer; p is a radical ofHL,DCIs the working medium pressure at the outlet of the hot section descending channel; p is a radical ofHL,DC,inIs working medium pressure at the inlet of the hot section descending channel; f. ofHL,DCIs the hot section descent passage friction factor; dDCIs the hydraulic diameter of the descent passage; g is the acceleration of gravity; mu.sHL,DCThe viscosity of working medium in a hot section descending channel;
the cold section model of the descending channel model is constructed by the following formula:
Figure BDA0003507355280000091
Figure BDA0003507355280000092
Figure BDA0003507355280000093
Figure BDA0003507355280000094
in the formula, GCL,DCThe mass flow of working medium at the outlet of the cold section descending channel; rhoCL,DCIs the working medium density of the cold section descending channel; a. theCL,DCIs the flow area of the cold section descending channel; t is a unit ofCL,DCThe temperature of working medium at the outlet of the cold section descending channel; cpCL,fwThe specific heat at constant pressure of the water supplied to the inlet of the cold section descending channel; cpCL,rwThe specific heat at constant pressure of the recirculated water at the inlet of the descending passage of the cold section; p is a radical ofCL,DCIs the working medium pressure at the outlet of the descending passage of the cold section; p is a radical ofCL,DC,inIs the working medium pressure at the inlet of the descending channel of the cold section; f. ofCL,DCIs a cold section descending channelA friction factor; mu.sCL,DCThe viscosity of working medium in a descending channel of a cold section;
s3: establishing a relevant model of a control body i according to the temperature, the pressure and the flow velocity of the first loop working medium and the second loop working medium obtained by calculating the state variable of the working medium at the outlet of the bottom of the descending channel, the calculated state variable of the control body and the model at the moment j-1, wherein the calculating steps are as follows:
s301: establishing a primary loop coolant model of a control body i, calculating to obtain the temperature, pressure and flow velocity of a primary side working medium, wherein the primary loop coolant model is divided into a hot section model and a cold section model, the hot section model and the cold section model are only different in inlet variable and consistent in calculation mode, and the hot section model and the cold section model of the primary loop coolant model are constructed through the following formulas:
Figure BDA0003507355280000101
Figure BDA0003507355280000102
Figure BDA0003507355280000103
Figure BDA0003507355280000104
wherein:
Figure BDA0003507355280000105
Figure BDA0003507355280000106
Figure BDA0003507355280000107
in the formula, the superscript i is the control body serial number, and j is the current time; k isPSIs the heat transfer coefficient between the primary side working medium and the metal wall; rePSIs a loop working medium Reynolds number; pr (Pr)PSIs a primary loop working medium Plantt number; lambda [ alpha ]PSIs the heat conductivity of a loop working medium; dPSIs the inner diameter of an inverted U-shaped pipe; w is a group ofPSIs the primary side working medium flow rate; gPSIs the mass flow of the primary side working medium; rhoPSIs the density of a primary loop working medium; a. thePSIs the loop flow area; p is a radical ofPSIs the pressure of the primary loop working medium; f. ofPSIs a primary side working medium friction factor; dz is the control volume height; g is gravity acceleration; t is a unit ofPSIs the temperature of the primary circuit working medium; cpPSPrimary side working medium constant pressure specific heat; vPSIs the volume of a loop control volume; sMTIs the metal wall heat exchange area; t isMTIs the metal wall temperature; dt is the discrete computation step; mu.sPSIs the viscosity of the primary side working medium; lambdaPRPrimary side working medium thermal conductivity;
s302: establishing an inverted U-shaped pipe metal wall model of a control body i, calculating to obtain the temperature of the metal wall and the heat transfer coefficient between the metal wall and a primary side working medium and a secondary side working medium, wherein the inverted U-shaped pipe metal wall model is divided into a hot section model and a cold section model, only the inlet variables of the hot section model and the cold section model are different, the models are consistent with the calculation mode, and the hot section model and the cold section model of the inverted U-shaped pipe metal wall model are constructed according to the following formula:
Figure BDA0003507355280000111
in the formula, TRCThe temperature of the working medium of the channel is raised by two loops; kRCThe heat transfer coefficient between the working medium of the ascending channel of the two loops and the metal wall; rhoMTIs the metal wall density; cpMTIs the constant pressure specific heat, V, of the metal wallMTIs the metal wall volume;
s303: establishing a two-loop working medium preheating section model of a control body i, and calculating to obtain the temperature, the pressure and the flow velocity of a secondary side working medium, wherein the two-loop working medium preheating section model is divided into a hot section model and a cold section model, only the inlet variables of the hot section model and the cold section model are different, the models are consistent with the calculation mode, and the hot section model and the cold section model of the loop working medium preheating section model are constructed according to the following formula:
Figure BDA0003507355280000112
Figure BDA0003507355280000113
Figure BDA0003507355280000114
Figure BDA0003507355280000121
wherein:
Figure BDA0003507355280000122
Figure BDA0003507355280000123
Figure BDA0003507355280000124
in the formula, the superscript i is the control body serial number, and j is the current time; kPRThe heat transfer coefficient between the secondary side preheating section working medium and the metal wall is obtained; rePRIs the Reynolds number of the working medium at the secondary side preheating section; pr (Pr) ofPRIs the Plantt number of the working medium of the secondary side preheating section; lambdaPRThe heat conductivity of a secondary side preheating section working medium; dRCIs the hydraulic diameter of the secondary side ascending channel; wPRThe flow velocity of a secondary side preheating section working medium; gPRIs a two-loop preheating section working mediumMass flow rate; ρ is a unit of a gradientPRThe density of the working medium at the preheating section of the second loop; a. theRCIs the flow area of the secondary side ascending channel; p is a radical of formulaPRSecondary side preheating section working medium pressure; f. ofPRIs a working medium friction factor of a preheating section of a secondary loop; dz is the control volume height; g is the acceleration of gravity; t is a unit ofPRIs the temperature of the secondary side preheating section working medium; cpPRThe constant pressure specific heat of the working medium at the preheating section of the two loops; vPRThe volume of a secondary side preheating section control body; sMTIs the metal wall heat exchange area; t is a unit ofMTIs the metal wall temperature; dt is the discrete calculation step; mu.sPSSecondary side preheating section working medium viscosity; lambda [ alpha ]PRThe heat conductivity of a secondary side preheating section working medium;
s304: respectively taking output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i as input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1;
s4: judging whether the control body i at the moment j-1 is vaporized, if the control body i at the position i at the moment j-1 is vaporized, extrapolating physical property parameters of a working medium of a secondary side ascending channel, and calculating by the following formula:
Figure BDA0003507355280000131
Figure BDA0003507355280000132
Figure BDA0003507355280000133
Figure BDA0003507355280000134
Figure BDA0003507355280000135
in the formula, the superscript i is the serial number of the control body to be solved, iSThe current control body serial number; ρ is a unit of a gradientPRSecondary side preheating section working medium density; h isPRIs the specific enthalpy of the working medium at the secondary side preheating section; lambda [ alpha ]PRThe heat conductivity of a secondary side preheating section working medium; mu.sPRSecondary side preheating section working medium viscosity; cpPRThe constant pressure specific heat of a secondary side preheating section working medium;
s5: judging whether the secondary side working medium is saturated or not according to the temperature and the pressure of the secondary side working medium of the control body i, if not, returning to the step three to calculate a primary loop coolant model, an inverted U-shaped tube metal wall model and a secondary loop working medium preheating section model of the control body i + 1;
if the control body i is saturated, defining the control body i as a vaporization starting control body, establishing a two-loop working medium vaporization starting control body model, and obtaining state variables of a liquid phase and a gas-liquid mixed phase of the vaporization starting control body, wherein the state variables comprise: the vaporization starting control body is a control body whose first secondary loop working medium temperature is higher than its pressure correspondent saturation temperature, and its serial number is defined as is。
The two-loop working medium vaporization starting control body model is constructed by the following formula:
Figure BDA0003507355280000141
Figure BDA0003507355280000142
Figure BDA0003507355280000143
Figure BDA0003507355280000144
Figure BDA0003507355280000145
in the formula, the superscript i is the control body serial number; t is a unit ofBRThe temperature of a working medium at a preheating section of a second loop; p is a radical of formulaBRThe pressure of a working medium at a preheating section of the two loops; p is a radical of formulaBRWorking medium pressure at a preheating section of the second loop; t isS,p iIs pBR iThe corresponding saturation temperature; hBRIs the vaporization starting height; dz is the control volume height; phi is aBRIs the share of the gas-liquid mixed phase working medium in the vaporization starting control body; k is a radical ofpAnd kTIs an intermediate variable, comprising TBRAnd TSInformation of the rate of change of (k), kp(1) K of expressionpThe first element, the rest being the same; t isSThe temperature of the working medium in the second loop at the beginning of boiling; p is a radical of formulaSIs TSThe corresponding saturation pressure;
Figure BDA0003507355280000146
Figure BDA0003507355280000147
Figure BDA0003507355280000148
Figure BDA0003507355280000149
Figure BDA00035073552800001410
Figure BDA0003507355280000151
Figure BDA0003507355280000152
Figure BDA0003507355280000153
Figure BDA0003507355280000154
Figure BDA0003507355280000155
Figure BDA0003507355280000156
in the formula, the superscript i is the control body serial number, and j is the current time; kBRThe heat transfer coefficient between the working medium at the boiling section of the two loops and the metal wall; kfcBRThe forced convection heat transfer coefficient between the working medium at the boiling section of the two loops and the metal wall; knbBRThe nucleate boiling heat transfer coefficient between the working medium at the boiling section of the two loops and the metal wall; s. theBRIs a two-phase flow suppression factor; reBRIs the Reynolds number of the working medium in the boiling section of the two loops; pr (Pr) ofBRIs working medium Plantt number of a two-loop boiling section; t isMTIs the metal wall temperature; t is a unit ofBRIs the working medium temperature of the boiling section of the second loop; p is a radical of formulaBRIs working medium pressure of a boiling section of the second loop; p is a radical ofSIs the working medium saturation static pressure of the boiling section of the two loops; sigmaBRThe surface tension coefficient of the liquid phase working medium at the boiling section of the second loop; mu.sS,LThe viscosity of the saturated liquid phase working medium at the boiling section of the second loop; h isS,VIs the specific enthalpy of the saturated gas phase working medium at the boiling section of the two loops; h is a total ofS,LIs the specific enthalpy of the saturated liquid phase working medium at the boiling section of the secondary loop; h isBRIs working medium specific enthalpy of the boiling section of the secondary loop; cpBRThe constant pressure specific heat of the working medium at the boiling section of the secondary loop; mu.sPSThe viscosity of the working medium at the boiling section of the secondary side; lambdaPRThe heat conductivity of the working medium at the boiling section of the secondary side is measured; rhoS,VThe density of the saturated gas phase working medium at the boiling section of the two loops; rhoS,LThe density of the saturated liquid phase working medium at the boiling section of the secondary loop; mu.sS,VThe viscosity of the saturated gas phase working medium at the boiling section of the secondary loop; mu.sS,LThe viscosity of the saturated liquid phase working medium at the boiling section of the secondary loop; phiBRIs the full liquid phase conversion coefficient of the secondary side working medium;
s6: and taking the output value obtained by calculating according to the data obtained in the previous step, the state variable of the control body which is already calculated and the model at the moment j-1 as the input value of the model corresponding to the moment i +1, wherein the calculating steps are as follows:
s601: establishing a loop coolant model of a control body i, and calculating to obtain the temperature, the pressure and the flow velocity of a primary side working medium;
s602: establishing an inverted U-shaped tube metal wall model of a control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
s603: and establishing a two-loop working medium boiling section model of the control body i, and calculating to obtain the temperature, pressure, flow rate and gas holdup of the secondary side working medium, wherein the two-loop working medium boiling section model is divided into a hot section model and a cold section model, only the inlet variables of the hot section model and the cold section model are different, and the models are consistent with the calculation mode.
The hot and cold section models of the two-loop working medium boiling section model are constructed by the following formula:
Figure BDA0003507355280000161
Figure BDA0003507355280000162
Figure BDA0003507355280000163
Figure BDA0003507355280000164
Figure BDA0003507355280000165
Figure BDA0003507355280000171
Figure BDA0003507355280000172
Figure BDA0003507355280000173
Figure BDA0003507355280000174
Figure BDA0003507355280000175
Figure BDA0003507355280000176
Figure BDA0003507355280000177
Figure BDA0003507355280000178
Figure BDA0003507355280000179
wherein:
Figure BDA00035073552800001710
Figure BDA00035073552800001711
in the formula, the superscript i is the control body serial number, and j is the current time; kBRThe heat transfer coefficient between the working medium at the boiling section of the two loops and the metal wall; fBRA two-phase flow strengthening factor; sBRIs a two-phase flow suppression factor; xttBRMartin Brix parameter of two-loop boiling section working medium two-phase flow; reBRIs the Reynolds number of the working medium in the boiling section of the two loops; pr (Pr) ofBRIs working medium Plantt number of a two-loop boiling section; lambdaBRThe heat conductivity of the working medium at the boiling section of the second loop is improved; cpBRThe constant pressure specific heat of the working medium at the boiling section of the secondary loop; t is a unit ofMTIs the metal wall temperature; t isBRIs the working medium temperature of the boiling section of the second loop; p is a radical of formulaBRIs working medium pressure of a boiling section of the second loop; p is a radical ofSIs the working medium saturation static pressure of the boiling section of the two loops; sigmaBRSurface tension coefficient of liquid phase working medium at the boiling section of the second loop; h isS,VIs the specific enthalpy of the saturated gas phase working medium at the boiling section of the two loops; h is a total ofS,LIs the specific enthalpy of the saturated liquid phase working medium at the boiling section of the secondary loop; h isBRIs the specific enthalpy of the working medium in the boiling section of the second loop; rhoS,VThe density of saturated gas phase working medium at the boiling section of the second loop; rhoS,LThe density of the saturated liquid phase working medium at the boiling section of the secondary loop; ρ is a unit of a gradientBRThe density of the working medium in the boiling section of the second loop; mu.sS,VThe viscosity of the saturated gas phase working medium at the boiling section of the secondary loop; mu.sS,LThe density of the saturated liquid phase working medium at the boiling section of the secondary loop; w is a group ofBRThe flow velocity of the working medium in the boiling section of the secondary loop; a. theRCIs the flow area of the ascending channel of the second loop; vRCThe volume of the ascending channel of the internal two loops is controlled; s. theMTThe heat exchange area of the metal wall in the body is controlled; t isSIs the working medium saturation temperature of the boiling section of the two loops; x is the number ofBRIs working medium mass gas of a two-loop boiling sectionThe content rate; beta is a betaBRThe volume gas content of the working medium at the boiling section of the two loops; phiBRIs the full liquid phase conversion coefficient of the secondary side working medium;
s604: respectively taking output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium boiling section model of the control body i as input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1;
s7: judging whether the calculation of the control body is finished, if the calculation of the control body is not finished, returning to the step six for calculating a primary circuit coolant model, an inverted U-shaped pipe metal wall model and a secondary circuit working medium boiling section model of the control body i + 1;
if all the control bodies are calculated, establishing a steam-water separator model by using the temperature, pressure, flow rate and gas content of the outlet working medium of the last control body obtained in the step S6 to obtain the temperature, pressure, flow rate and mass flow of the gas-phase working medium at the outlet of the steam-water separator, wherein the steam-water separator model is a hot-cold section two-phase flow mixed model;
the steam-water separator model is constructed by the following formula:
Figure BDA0003507355280000191
Figure BDA0003507355280000192
Figure BDA0003507355280000193
wherein:
Figure BDA0003507355280000194
in the formula, the superscript I is the serial number of the control body at the top end of the inverted U-shaped tube, namely the total number of the control bodies; gSPIs steam-water separator outlet saturationMass flow of dry gas; grwMass flow of the recirculated water at the outlet of the steam-water separator;
Figure BDA0003507355280000195
the gas content of working medium at the outlet of the ascending channel of the second loop of the hot section;
Figure BDA0003507355280000196
the gas content of working medium at the outlet of the ascending channel of the second loop of the cold section;
Figure BDA0003507355280000197
the mass flow of working medium at the outlet of the ascending channel of the second loop of the hot section;
Figure BDA0003507355280000198
the mass flow of working medium at the outlet of the ascending channel of the second loop of the cold section; eta is the separation efficiency of the steam-water separator; p is a radical ofSPIs the pressure of saturated dry steam at the outlet of the steam-water separator;
Figure BDA0003507355280000199
working medium pressure at the outlet of an ascending channel of a second loop of the hot section;
Figure BDA00035073552800001910
the working medium pressure at the outlet of the ascending channel of the second loop of the cold section; f. ofSPIs the friction coefficient of the working medium of the steam-water separator; phi (phi) ofBRIs the full liquid phase conversion coefficient of the working medium of the steam-water separator; rhoSPIs the density of the steam-water separator working medium; gSPIs the flow velocity of the working medium of the steam-water separator; dSPIs the hydraulic diameter of the steam-water separator; hSPIs the height of the steam-water separator; ρ is a unit of a gradientS,VThe density of saturated gas phase working medium at the boiling section of the second loop; rhoS,LThe density of saturated liquid phase working medium at the boiling section of the second loop; mu.sS,VThe viscosity of the saturated gas phase working medium at the boiling section of the secondary loop; mu.sS,LThe density of saturated liquid phase working medium at the boiling section of the second loop;
s8: and calculating the physical parameters of the working medium at each position of the steam generator at the moment j according to the temperature, the pressure and the gas content of each position of the steam generator obtained in the step, and using the physical parameters for the operation at the moment j + 1.
In addition, the invention also provides a discretization model building device for the steam generator of the nuclear power plant, which comprises the following components:
the operation data acquisition module is used for acquiring operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j;
the descending channel model establishing module is used for establishing a descending channel model according to the operating data of the secondary side inlet working medium and the temperature, pressure and flow rate of the first loop working medium and the second loop working medium obtained by the model calculation at the moment j-1 to obtain the state variable of the outlet working medium at the bottom of the descending channel at the moment j;
the control body i correlation model building module is used for building a control body i correlation model according to the state variable of the outlet working medium at the bottom of the descending channel, the calculated state variable of the control body and the temperature, the pressure and the flow speed of the working medium of the first loop and the second loop obtained by the model calculation at the moment j-1;
the vaporization judgment module is used for judging whether the control body i at the moment j-1 is vaporized or not;
the saturation judging module is used for judging whether the secondary side working medium at the position is saturated or not according to the temperature and the pressure of the secondary side working medium of the control body i;
the model calculation and transmission module is used for calculating an output value according to the data obtained by the saturation judgment module, the calculated state variable of the control body and the model at the moment j-1 and taking the output value as an input value of the model corresponding to the moment i + 1;
the calculation judging module is used for judging whether the calculation of the control body is finished or not;
and the physical property parameter calculation module is used for calculating the physical property parameters of the working medium at each position of the steam generator at the moment j according to the temperature, the pressure and the gas content of each position of the steam generator obtained by all the modules and is used for calculating at the moment j + 1.
The relevant model building module of the control body i comprises:
the first coolant model establishing unit is used for establishing a loop coolant model of the control body i and calculating the temperature, the pressure and the flow velocity of the primary side working medium;
the first metal wall model establishing unit is used for establishing an inverted U-shaped tube metal wall model of the control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
the preheating section model establishing unit is used for establishing a two-loop working medium preheating section model of the control body i and calculating the temperature, the pressure and the flow speed of the secondary side working medium;
and the data transmission unit is used for respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
Wherein, the model calculation and transmission module comprises:
the second coolant model establishing unit is used for establishing a loop coolant model of the control body i and calculating the temperature, the pressure and the flow velocity of the primary side working medium;
the second metal wall model establishing unit is used for establishing an inverted U-shaped tube metal wall model of the control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
the boiling section model establishing unit is used for establishing a two-loop working medium boiling section model of the control body i and calculating the temperature, the pressure, the flow speed and the air content of the secondary side working medium;
and the data transmission unit is used for respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium boiling section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
In addition, the invention also discloses an intelligent terminal and a computer readable storage medium, wherein the intelligent terminal comprises a memory, a processor and a computer program which is stored on the memory and can run on the processor, and the processor is used for executing the steps of the discretization model construction method of the nuclear power plant steam generator when executing the program. The computer readable storage medium stores a computer program which, when executed by a processor, is adapted to perform the steps of the method for discretizing a model for a nuclear power plant steam generator of the present invention.
In combination with the above detailed description of the embodiments of the present invention, it can be seen that the present invention has the following technical effects with respect to the prior art:
1. the method for constructing the discretization model of the nuclear power steam generator can obtain the accurate value of the vaporization starting height of the secondary side ascending channel of the steam generator, further reduce the accumulated error of the boiling section of the secondary side ascending channel and obtain more accurate distribution of the temperature, the pressure, the flow rate and the gas content rate of the working medium.
2. According to the nuclear power steam generator discretization model construction method, the physical property parameters of the working medium at the previous moment are used for replacing the physical property parameters at the current moment, and the simulation speed of the model can be remarkably improved.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered as the technical solutions and the inventive concepts of the present invention within the technical scope of the present invention.

Claims (10)

1. A nuclear power plant steam generator discretization model building method is characterized by comprising the following steps:
s1, obtaining operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j;
s2, establishing a descending channel model according to the operating data of the secondary side inlet working medium and the temperature, pressure and flow rate of the first loop working medium and the second loop working medium obtained by the model calculation at the moment j-1, and obtaining the state variable of the outlet working medium at the bottom of the descending channel at the moment j;
s3, establishing a relevant model of the control body i according to the state variable of the outlet working medium at the bottom of the descending channel, the calculated state variable of the control body and the temperature, pressure and flow rate of the working medium of the first loop and the second loop obtained by model calculation at the moment j-1;
s4, judging whether the control body i at the moment j-1 is vaporized;
s5, judging whether the secondary side working medium is saturated or not according to the temperature and the pressure of the secondary side working medium of the control body i;
s6, taking the output value calculated by the model at the moment j-1, the state variable of the control body which is calculated according to the data obtained in the previous step as the input value of the model corresponding to the moment i + 1;
s7, judging whether the calculation of the control body is finished;
and S8, calculating the physical property parameters of the working medium at each position of the steam generator at the moment j according to the temperature, the pressure and the gas content of each position of the steam generator obtained in the step (S) and using the physical property parameters for the calculation at the moment j + 1.
2. The nuclear power plant steam generator discretization model building method according to claim 1, wherein a correlation model of the control body i is established according to the state variable of the working medium at the bottom outlet of the descending channel, the calculated state variable of the control body and the temperature, pressure and flow rate of the working medium in the first loop and the second loop obtained by the model calculation at the moment j-1, and the calculating step is as follows:
establishing a loop coolant model of a control body i, and calculating to obtain the temperature, the pressure and the flow velocity of a primary side working medium;
establishing an inverted U-shaped tube metal wall model of a control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
establishing a two-loop working medium preheating section model of a control body i, and calculating to obtain the temperature, the pressure and the flow speed of a secondary side working medium;
and respectively taking the output values of the primary loop coolant model, the inverted U-shaped tube metal wall model and the secondary loop working medium preheating section model of the control body i as the input values of the primary loop coolant model, the inverted U-shaped tube metal wall model and the secondary loop working medium preheating section model of the control body i + 1.
3. The nuclear power plant steam generator discretization model establishing method according to claim 1, wherein whether the secondary side working medium is saturated or not is judged according to the temperature and the pressure of the secondary side working medium of the control body i: if not, returning to the step three to calculate a primary loop coolant model, an inverted U-shaped tube metal wall model and a secondary loop working medium preheating section model of the control body i + 1;
if the control body i is saturated, defining the control body i as a vaporization starting control body, establishing a two-loop working medium vaporization starting control body model, and obtaining state variables of a liquid phase and a gas-liquid mixed phase of the vaporization starting control body, wherein the state variables comprise: the vaporization initiation controls the temperature, pressure, flow rate and gas content of the liquid phase and the gas-liquid mixed phase.
4. The method for constructing the discretization model of the steam generator of the nuclear power plant according to claim 1, wherein an output value calculated according to the data obtained in the previous step, the state variable of the control body after the calculation and the model at the time of j-1 is used as an input value of the model corresponding to the time of i +1, and the calculating step is as follows:
establishing a loop coolant model of a control body i, and calculating to obtain the temperature, the pressure and the flow velocity of a primary side working medium;
establishing an inverted U-shaped tube metal wall model of a control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
establishing a two-loop working medium boiling section model of a control body i, and calculating to obtain the temperature, the pressure, the flow rate and the gas content of a secondary side working medium;
and respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium boiling section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
5. The nuclear power plant steam generator discretization model establishing method according to claim 1, wherein whether the calculation of the control body is completed or not is judged, and if the calculation of the control body is not completed, the calculation returns to the sixth step to calculate the primary loop coolant model, the inverted U-shaped pipe metal wall model and the secondary loop working medium boiling section model of the control body i + 1;
if all the control bodies are calculated, establishing a steam-water separator model by using the temperature, pressure, flow rate and gas content of the outlet working medium of the last control body obtained in S6 to obtain the temperature, pressure, flow rate and mass flow of the gas-phase working medium at the outlet of the steam-water separator.
6. A nuclear power plant steam generator discretization model construction device is characterized by comprising the following components:
the operation data acquisition module is used for acquiring operation data of primary side inlet working media and secondary side inlet working media of the steam generator at the moment j;
the descending channel model building module is used for building a descending channel model according to the operating data of the secondary side inlet working medium and the temperature, the pressure and the flow speed of the first loop working medium and the second loop working medium obtained by the calculation of the model at the moment j-1, so as to obtain the state variable of the outlet working medium at the bottom of the descending channel at the moment j;
the relevant model building module of the control body i is used for building a relevant model of the control body i according to the state variable of the outlet working medium at the bottom of the descending channel, the calculated state variable of the control body and the temperature, the pressure and the flow rate of the first loop working medium and the second loop working medium obtained by model calculation at the moment j-1;
the vaporization judgment module is used for judging whether the control body i at the moment j-1 is vaporized or not;
the saturation judging module is used for judging whether the secondary side working medium at the position is saturated or not according to the temperature and the pressure of the secondary side working medium of the control body i;
the model calculation and transmission module is used for calculating an output value according to the data obtained by the saturation judgment module, the calculated state variable of the control body and the model at the moment j-1 and taking the output value as an input value of the model corresponding to the moment i + 1;
the calculation judging module is used for judging whether the calculation of the control body is finished or not;
and the physical property parameter calculation module is used for calculating the physical property parameters of the working medium at each position of the steam generator at the moment j according to the temperature, the pressure and the gas content of each position of the steam generator obtained by all the modules and is used for calculating at the moment j + 1.
7. The nuclear power plant steam generator discretization model establishing device of claim 6, wherein the control entity i correlation model establishing module comprises:
the first coolant model establishing unit is used for establishing a loop coolant model of the control body i and calculating the temperature, the pressure and the flow velocity of the primary side working medium;
the first metal wall model building unit is used for building an inverted U-shaped tube metal wall model of the control body i and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
the preheating section model establishing unit is used for establishing a two-loop working medium preheating section model of the control body i and calculating the temperature, the pressure and the flow velocity of the secondary side working medium;
and the data transmission unit is used for respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
8. The nuclear power plant steam generator discretization model building apparatus of claim 6, wherein the model calculating and transmitting module comprises:
the second coolant model establishing unit is used for establishing a loop coolant model of the control body i and calculating the temperature, the pressure and the flow velocity of the primary side working medium;
the second metal wall model establishing unit is used for establishing an inverted U-shaped tube metal wall model of the control body i, and calculating to obtain the temperature of the metal wall and the heat transfer coefficients between the metal wall and the primary side working medium and the secondary side working medium;
the boiling section model establishing unit is used for establishing a two-loop working medium boiling section model of the control body i and calculating the temperature, the pressure, the flow rate and the gas content of the secondary side working medium;
and the data transmission unit is used for respectively taking the output values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium boiling section model of the control body i as the input values of the primary circuit coolant model, the inverted U-shaped pipe metal wall model and the secondary circuit working medium preheating section model of the control body i + 1.
9. An intelligent terminal, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor when executing the program is configured to perform the steps of the method for building the discretized model for nuclear power plant steam generator of any of claims 1-5.
10. A computer-readable storage medium, characterized in that the computer-readable storage medium stores a computer program which, when being executed by a processor, is adapted to carry out the steps of the method for building the discretized model of a nuclear power plant steam generator according to any of the claims 1 to 5.
CN202210143164.4A 2022-02-16 2022-02-16 Method, terminal and medium for building discretization model of steam generator of nuclear power plant Pending CN114781109A (en)

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