A method for correcting a critical boron concentration in a full power state

By calculating the critical boron concentration at full power based on the three-dimensional reactive equilibrium equation and considering the influence of temperature deviation on the Doppler effect, the problem of inaccurate correction of the critical boron concentration at full power in nuclear power plant reactors in the prior art is solved, and accurate correction is achieved during peak shaving of nuclear power units.

CN118468537BActive Publication Date: 2026-06-09CNNC FUJIAN FUQING NUCLEAR POWER

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CNNC FUJIAN FUQING NUCLEAR POWER
Filing Date
2024-04-30
Publication Date
2026-06-09

AI Technical Summary

Technical Problem

Existing technologies cannot accurately correct the critical boron concentration under full-power conditions of nuclear power plant reactors. This is mainly because the actual power and temperature under the measured conditions do not match the approximate assumptions under full-power conditions, resulting in large calculation errors. In particular, it is difficult to meet the correction requirements when nuclear power units participate in peak shaving.

Method used

The method based on the three-dimensional reactive equilibrium equation is adopted, taking into account the influence of temperature deviation on the Doppler effect. The critical boron concentration under full power is calculated by formula (10). The accurate correction is achieved by combining the three-dimensional reactive equilibrium equation and the influence of temperature deviation on the Doppler effect.

Benefits of technology

When nuclear power units participate in peak shaving, the critical boron concentration under full power conditions is accurately corrected, reducing calculation errors and improving the accuracy of the correction.

✦ Generated by Eureka AI based on patent content.

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Abstract

This invention specifically relates to a method for correcting the critical boron concentration under full power conditions. Based on a three-dimensional reactive equilibrium equation and considering the influence of temperature deviation on the Doppler effect, the critical boron concentration under full power conditions is: where CB ref This represents the critical boron concentration at full power; CB m ρ represents the actual boron concentration under the measured conditions. xem Indicates the equilibrium xenon poisoning under measurement conditions; ρ xeref This represents the balanced xenon poisoning at full power; ρ rccam Indicates the reactivity introduced by the control rod under measurement conditions; pr m Indicates the actual power under the measured conditions; HFP represents full power; α pc α represents the average of the sum of the power coefficients under the measured state and the full-power state; b T represents the average of the sum of the differential boron values ​​under the measured state and the full-power state; avgm T represents the average temperature of the moderator under the measured conditions. ref (pr m ) represents the moderator reference temperature under measurement conditions; α ttcm This represents the total temperature coefficient under the measurement conditions. The invention also relates to computer equipment and a computer-readable storage medium, outlining the steps for implementing the above-described method for correcting the critical boron concentration under full power conditions. Based on a three-dimensional reactive equilibrium equation, and considering the influence of temperature deviation on the Doppler effect, this invention achieves accurate correction of the critical boron concentration under full power conditions when nuclear power units increasingly participate in peak shaving.
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Description

Technical Field

[0001] This invention relates to the field of nuclear power plant reactor physics, and in particular to a method for correcting the critical boron concentration under full power conditions. Background Technology

[0002] During the operation of a nuclear power plant reactor, it is necessary to measure the critical boron concentration under full power conditions in order to compare it with the theoretical design value. However, a nuclear power plant reactor cannot operate at exactly full power during normal operation. Generally, the boron concentration under normal operating conditions is measured, and the critical boron concentration under full power conditions is obtained by correcting the boron concentration under normal operating conditions. This process is called the critical boron concentration correction under full power conditions.

[0003] Existing methods for correcting the critical boron concentration at full power are based on a two-dimensional reactivity equilibrium equation and two approximate assumptions. The two-dimensional reactivity equilibrium equation is as follows:

[0004] (1);

[0005] In the formula, This represents the critical boron concentration at full power. This indicates the actual boron concentration under the measured conditions; This indicates balanced xenon poisoning under measured power conditions; This indicates balanced xenon poisoning at full power. This indicates the reactivity introduced by the control rod under measurement conditions; This indicates the actual power under the measured conditions; Indicates full power; Indicates the Doppler temperature coefficient; Indicates the temperature coefficient of the moderator; This indicates the average temperature of the moderator under the measured conditions; This indicates the average temperature of the moderator under full power conditions; This represents the average value of the differential value of boron.

[0006] The first approximation is that the cavitation effect introduces reactivity. The reactivity introduced by the axial flux redistribution effect The second approximation is that the effect of temperature deviation on the Doppler effect is ignored.

[0007] Therefore, existing methods for correcting the critical boron concentration under full-power conditions require that the actual power and temperature under the measured conditions approximate full-power conditions; otherwise, the calculation error will be large. However, with nuclear power units increasingly participating in peak shaving, it is difficult to ensure that the actual power and temperature under the measured conditions meet the requirements of existing methods for correcting the critical boron concentration under full-power conditions. Summary of the Invention

[0008] Therefore, it is necessary to address the problem that the actual power under measurement conditions is close to full power and the temperature under measurement conditions is close to the temperature under full power conditions, which cannot meet the requirements of existing critical boron concentration correction methods under full power conditions due to the increasing participation of nuclear power units in peak shaving. To address this issue, a critical boron concentration correction method, computer equipment, and storage medium under full power conditions should be provided. This method is based on a three-dimensional reactive equilibrium equation and considers the influence of temperature deviation on the Doppler effect, so as to achieve accurate correction of critical boron concentration under full power conditions when nuclear power units participate in peak shaving more and more.

[0009] To address the aforementioned problems, this invention provides a method for correcting the critical boron concentration under full power conditions. Based on a three-dimensional reactive equilibrium equation and considering the influence of temperature deviation on the Doppler effect, the critical boron concentration under full power conditions is:

[0010] (10);

[0011] In the formula, This represents the critical boron concentration at full power. This indicates the actual boron concentration under the measured conditions; This indicates the equilibrium xenon toxicity under measurement conditions; This indicates balanced xenon poisoning at full power. This indicates the reactivity introduced by the control rod under measurement conditions; This indicates the actual power under the measured conditions; Indicates full power; It represents the average of the sum of the power coefficients under the measured state and the full-power state; This represents the average of the sum of the differential boron values ​​under the measured state and the full-power state; This indicates the average temperature of the moderator under the measured conditions. Indicates the reference temperature of the moderator under the measurement conditions; It represents the total temperature coefficient under the measurement conditions.

[0012] Furthermore, based on the three-dimensional reactivity equilibrium equation, the nuclear power plant reactor is in a critical state at time t; state m and ref represent the measured state and design reference state, respectively; since the burnup is the same, i.e., the reactivity introduced by the change in burnup... The reactive equilibrium equations under the measurement state and the design reference state are as follows:

[0013] (2);

[0014] in:

[0015] (3);

[0016] (4);

[0017] (5);

[0018] (6);

[0019] (7);

[0020] (8);

[0021] (9);

[0022] In the formula, This indicates the reactivity introduced by the boron change; This indicates the reactivity introduced by the toxic changes, including xenon poisons and samarium poisons; This indicates the reactivity introduced by the xenon toxicity change; This indicates the equilibrium xenon toxicity under measurement conditions; This indicates balanced xenon poisoning at full power. This indicates the reactivity introduced by changes in the control rod; This indicates the reactivity introduced by the control rod under measurement conditions; This indicates the reactivity introduced by the control rod under the reference state, where the reference state is 0. Indicates power loss; This indicates the actual power under the measured conditions; Indicates full power; It represents the average of the sum of the power coefficients under the measured state and the full-power state; Indicates the power coefficient under measurement conditions; Indicates the power factor under full power conditions; This represents the average of the sum of the differential boron values ​​under the measured state and the full-power state; This represents the differential value of boron under the measurement conditions; This represents the differential value of boron at full power. This indicates the reactivity introduced by the temperature deviation of the moderator; This indicates the reactivity introduced by the moderator temperature deviation under the measurement conditions; This indicates the reactivity introduced by the moderator temperature deviation under reference conditions; This indicates the average temperature of the moderator under the measured conditions. This indicates the moderator temperature under reference conditions; Indicates the reference temperature of the moderator under the measurement conditions; Indicates the total temperature coefficient under reference conditions; Indicates the total temperature coefficient under the measurement conditions;

[0023] Substituting equations (3)-(9) into equation (2), we obtain the critical boron concentration under full power conditions as follows:

[0024] (10);

[0025] In the formula, This represents the critical boron concentration at full power. This indicates the actual boron concentration under the measured conditions.

[0026] To address the aforementioned technical problems, the present invention provides a computer device, including a memory and a processor, wherein the memory stores computer-readable instructions, and the processor executes the computer-readable instructions to implement the steps of the above-described critical boron concentration correction method under full power conditions.

[0027] To address the aforementioned technical problems, the present invention provides a computer-readable storage medium storing computer-readable instructions, which, when executed, implement the steps of the above-described critical boron concentration correction method under full power conditions.

[0028] Beneficial technical effects of the present invention:

[0029] The present invention relates to a critical boron concentration correction method, computer device, and computer-readable storage medium under full power conditions. Based on a three-dimensional reactive equilibrium equation, it considers the influence of temperature deviation on the Doppler effect and achieves accurate correction of the critical boron concentration under full power conditions when nuclear power units participate in peak shaving more and more. Detailed Implementation

[0030] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains; the terminology used herein in the specification of the application is for the purpose of describing particular embodiments only and is not intended to limit the application; the terms “comprising” and “equivalent to”, and any variations thereof, in the specification and claims of this application are intended to cover non-exclusive inclusion.

[0031] In this document, the term "embodiment" means that a particular feature, structure, or characteristic described in connection with an embodiment may be included in at least one embodiment of this application. The appearance of this phrase in various places throughout the specification does not necessarily refer to the same embodiment, nor is it a separate or alternative embodiment mutually exclusive with other embodiments. It will be explicitly and implicitly understood by those skilled in the art that the embodiments described herein can be combined with other embodiments.

[0032] The technical solution of the present invention will be clearly and completely described below with reference to specific embodiments.

[0033] This embodiment provides a critical boron concentration correction method under full power conditions, based on a three-dimensional reactivity equilibrium equation. At time t, the nuclear power plant reactor is in a critical state; state m and ref represent the measured state and the design reference state, respectively; since the fuel consumption is the same, i.e., the reactivity introduced by the fuel consumption change... The reactive equilibrium equations under the measurement state and the design reference state are as follows:

[0034] (2);

[0035] in:

[0036] (3);

[0037] (4);

[0038] (5);

[0039] (6);

[0040] (7);

[0041] (8);

[0042] (9);

[0043] In the formula: This indicates the reactivity introduced by the boron change; This indicates the reactivity introduced by the toxic changes, including xenon poisons and samarium poisons; In this embodiment, the reactivity introduced by the xenon toxicity change is described. =11 ; This indicates the equilibrium xenon toxicity under measurement conditions; This indicates balanced xenon poisoning at full power. This indicates the reactivity introduced by changes in the control rod; In this embodiment, the reactivity introduced by the control rod under the measurement state is represented. ; This indicates the reactivity introduced by the control rod under the reference state, where the reference state is 0. Indicates power loss; This represents the actual power under the measured conditions. In this embodiment, ; In this embodiment, full power is indicated. ; This represents the average of the sum of the power coefficients under the measured state and the full-power state. In this embodiment, ; Indicates the power coefficient under measurement conditions; Indicates the power factor under full power conditions; This represents the average of the sum of the boron differential values ​​under the measured state and the full-power state. In this embodiment, ; This represents the differential value of boron under the measurement conditions; This represents the differential value of boron at full power. This indicates the reactivity introduced by the temperature deviation of the moderator; This indicates the reactivity introduced by the moderator temperature deviation under the measurement conditions; This indicates the reactivity introduced by the moderator temperature deviation under reference conditions; This represents the average temperature of the moderator under the measured conditions. In this embodiment, ; This indicates the moderator temperature under reference conditions; In this embodiment, the moderator reference temperature represents the temperature under measurement conditions. ; Indicates the total temperature coefficient under reference conditions; In this embodiment, the total temperature coefficient represents the temperature under the measured conditions. ;

[0044] Substituting equations (3)-(9) into equation (2), we obtain the critical boron concentration under full power conditions as follows:

[0045] (10);

[0046] In the formula: This represents the critical boron concentration at full power. This indicates the actual boron concentration under the measurement conditions. In this embodiment, .

[0047] In this embodiment, .

[0048] As an implementation of the above method, this embodiment also provides a computer device, which corresponds to the embodiment of the critical boron concentration correction method under full power conditions described above.

[0049] The computer device described in this embodiment includes a memory, a processor, and a network interface that are communicatively connected to each other via a system bus. It should be understood that it is not required to implement all the components shown; more or fewer components may be implemented instead. Those skilled in the art will understand that the computer device described herein is a device capable of automatically performing numerical calculations and / or information processing according to pre-set or stored instructions, and its hardware includes, but is not limited to, microprocessors, application-specific integrated circuits (ASICs), programmable gate arrays (FPGAs), digital processors, embedded devices, etc.

[0050] The computer device can be a desktop computer, laptop, handheld computer, or cloud server, etc. The computer device can interact with the user via a keyboard, mouse, remote control, touchpad, or voice control.

[0051] The memory includes at least one type of readable storage medium, including flash memory, hard disk, multimedia card, card-type memory, random access memory, static random access memory, read-only memory, electrically erasable programmable read-only memory, programmable read-only memory, magnetic memory, magnetic disk, optical disk, etc. In some embodiments, the memory may be an internal storage unit of the computer device, such as the hard disk or RAM of the computer device. In other embodiments, the memory may also be an external storage device of the computer device, such as a plug-in hard disk, smart memory card, secure digital card, flash memory card, etc., equipped on the computer device. Of course, the memory may include both internal storage units and external storage devices of the computer device. In this embodiment, the memory is typically used to store the operating system and various application software installed on the computer device, such as the computer-readable instructions of the critical boron concentration correction method under full power conditions described above. In addition, the memory may also be used to temporarily store various types of data that have been output or will be output.

[0052] In some embodiments, the processor may be a central processing unit, a controller, a microcontroller, a microprocessor, or other data processing chip. The processor is typically used to control the overall operation of the computer device. In this embodiment, the processor is used to execute computer-readable instructions stored in the memory or to process data, such as executing computer-readable instructions for the critical boron concentration correction method under full power conditions described above.

[0053] The network interface may include a wireless network interface or a wired network interface, which is typically used to establish communication connections between the computer device and other electronic devices.

[0054] As an implementation of the above method, the present invention provides an embodiment of a computer-readable storage medium, which corresponds to the embodiment of the critical boron concentration correction method under full power conditions described above.

[0055] The computer-readable storage medium described in this embodiment stores computer-readable instructions that can be executed by at least one processor to cause the at least one processor to perform the steps of the critical boron concentration correction method under full power conditions as described above.

[0056] This invention is based on a three-dimensional reactive equilibrium equation and takes into account the influence of temperature deviation on the Doppler effect, so as to achieve accurate correction of the critical boron concentration at full power when nuclear power units participate in peak shaving more and more.

[0057] The embodiments described above are merely illustrative of several implementations of the present invention, and while the descriptions are specific and detailed, they should not be construed as limiting the scope of the present invention. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of the present invention, and these modifications and improvements all fall within the scope of protection of the present invention. Therefore, the scope of protection of this patent should be determined by the appended claims.

Claims

1. A method for correcting the critical boron concentration under full power conditions, characterized in that, Based on the three-dimensional reactive equilibrium equation, and considering the effect of temperature deviation on the Doppler effect, the critical boron concentration at full power is: (10); In the formula, This represents the critical boron concentration at full power. This indicates the actual boron concentration under the measured conditions; This indicates the equilibrium xenon toxicity under measurement conditions; This indicates balanced xenon poisoning at full power. This indicates the reactivity introduced by the control rod under measurement conditions; This indicates the actual power under the measured conditions; Indicates full power; It represents the average of the sum of the power coefficients under the measured state and the full-power state; This represents the average of the sum of the differential boron values ​​under the measured state and the full-power state; This indicates the average temperature of the moderator under the measured conditions. Indicates the reference temperature of the moderator under the measurement conditions; Indicates the total temperature coefficient under the measurement conditions; Based on the three-dimensional reactivity equilibrium equation, the nuclear power plant reactor is in a critical state at time t; state m and ref represent the measured state and design reference state, respectively; since the fuel consumption is the same, i.e., the reactivity introduced by the fuel consumption change. The reactive equilibrium equations under the measurement state and the design reference state are as follows: (2); in: (3); (4); (5); (6); (7); (8); (9); In the formula, This indicates the reactivity introduced by the boron change; This indicates the reactivity introduced by the toxic changes, including xenon poisons and samarium poisons; This indicates the reactivity introduced by the xenon toxicity change; This indicates the equilibrium xenon toxicity under measurement conditions; This indicates balanced xenon poisoning at full power. This indicates the reactivity introduced by changes in the control rod; This indicates the reactivity introduced by the control rod under measurement conditions; This indicates the reactivity introduced by the control rod under the reference state, where the reference state is 0. Indicates power loss; This indicates the actual power under the measured conditions; Indicates full power; It represents the average of the sum of the power coefficients under the measured state and the full-power state; Indicates the power coefficient under measurement conditions; Indicates the power factor under full power conditions; This represents the average of the sum of the differential boron values ​​under the measured state and the full-power state; This represents the differential value of boron under the measurement conditions; This represents the differential value of boron at full power. This indicates the reactivity introduced by the temperature deviation of the moderator; This indicates the reactivity introduced by the moderator temperature deviation under the measurement conditions; This indicates the reactivity introduced by the moderator temperature deviation under reference conditions; This indicates the average temperature of the moderator under the measured conditions. This indicates the moderator temperature under reference conditions; Indicates the reference temperature of the moderator under the measurement conditions; Indicates the total temperature coefficient under reference conditions; Indicates the total temperature coefficient under the measurement conditions; Substituting equations (3)-(9) into equation (2), we obtain the critical boron concentration under full power conditions as follows: (10); In the formula, This represents the critical boron concentration at full power. This indicates the actual boron concentration under the measured conditions.

2. A computer device comprising a memory and a processor, wherein the memory stores computer-readable instructions, characterized in that, When the processor executes the computer-readable instructions, it implements the steps of the critical boron concentration correction method under full power state as described in claim 1.

3. A computer-readable storage medium storing computer-readable instructions, characterized in that, When the computer-readable instructions are executed, they implement the steps of the critical boron concentration correction method under full power conditions as described in claim 1.