CN114689089A - Three-dimensional magnetic sensor-based power transmission cable space form detection method - Google Patents

Three-dimensional magnetic sensor-based power transmission cable space form detection method Download PDF

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CN114689089A
CN114689089A CN202210224901.3A CN202210224901A CN114689089A CN 114689089 A CN114689089 A CN 114689089A CN 202210224901 A CN202210224901 A CN 202210224901A CN 114689089 A CN114689089 A CN 114689089A
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花为
王宇辰
程晨闻
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Abstract

The invention discloses a three-dimensional magnetic sensor-based power transmission cable space form detection method, and belongs to the technical field of calculation, calculation or counting. Firstly, two three-dimensional magnetic sensors are longitudinally distributed and installed in a space near a power transmission cable, and three-dimensional magnetic field signals at installation points are detected. The digital signal processor samples the output signals of the two three-dimensional magnetic sensors. The included angle between the plane of the power transmission cable and the ground can indicate the waving degree, and the tangent line at the point on the cable closest to the two magnetic sensorsxThe angle of the axes can be expressed as the degree of sag. And the arithmetic flow in the digital signal processor realizes the detection of the galloping degree and the drooping degree of the power transmission cable according to the installation position information of the three-dimensional magnetic sensor and the magnetic field signal obtained by real-time sampling.

Description

Three-dimensional magnetic sensor-based power transmission cable space form detection method
Technical Field
The invention discloses a three-dimensional magnetic sensor-based power transmission cable spatial form detection method, relates to a power transmission line monitoring technology, and belongs to the technical field of calculation, reckoning or counting.
Background
The overhead transmission line is an important component of a power network, is a link for connecting a power supply at a transmitting end and a load at a receiving end, and particularly, some extra-high voltage alternating current and direct current transmission lines bear an important task of large-scale trans-regional transmission, so that the condition of the overhead transmission line directly determines whether the whole power grid system can safely and stably operate. High-voltage transmission lines which are erected in the field in a long distance under extreme weather conditions (high temperature, strong wind, ice and snow) can generate cable form changes, and the two most common form changes are sagging and galloping. Sag is the excessive heating of the current load that results in an increase in the length of the line conductor, which reduces the unsafe height of the conductor above ground. Galloping is a low frequency, large amplitude, wind induced oscillation of overhead transmission lines that can lead to serious transmission problems such as flashovers due to line-to-line clearance violations, risk of mechanical failure of transmission towers, and excessive load stresses. Both sag and galloping cable form changes are serious sources of power outages and permanent damage. Therefore, real-time estimation of the spatial morphology of the cable is extremely important for making the necessary precautions.
Detecting magnetic field signals around the power transmission cable is an effective way to obtain the spatial form of the cable. The Chinese patent with publication number CN112242748A discloses a monitoring device for monitoring the galloping of a transmission conductor and an installation method thereof, the three-dimensional shape of a line is detected by a magnetic ring sleeved on the transmission line, the online monitoring of the galloping of the transmission line is realized, and the method needs to install a sensor around the line, so that the installation cost is high and the risk is high. Chinese patent publication No. CN106597216B discloses a method for monitoring phase current and space state of an overhead transmission line, Chinese patent publication No. CN110261731B discloses a method for measuring parameters of a multi-transmission line based on a current magnetic field, Chinese patent publication No. CN105241498B discloses a method for monitoring sag and stress of a direct-current overhead transmission line based on weak magnetic detection, Chinese patent publication No. CN109115101B discloses a method for inverting lead parameters by considering the current magnetic field of the sag of the transmission line, the four patents all select a plurality of detection points on the tower and arrange the magnetic sensors, and utilize the distribution characteristics of the magnetic field in the space of the power transmission line, obtaining a fitting linear equation of the magnetic field component generated by each transmission line at each detection point and the sag of the transmission line in a corresponding coordinate system, on the basis, real-time monitoring of the current signals and the sag of the power transmission line is realized through the coordinate transformation and magnetic field superposition principle. However, the detection method disclosed in the above patent only uses one-dimensional information of the magnetic field, and does not fully use the three-dimensional characteristics of the magnetic field at a certain point, which has the disadvantages of complicated detection device and low detection accuracy.
In order to accurately and comprehensively acquire the galloping or drooping form of the power transmission line, the invention aims to reasonably install magnetic elements and design a power transmission cable space form detection algorithm fully utilizing three-dimensional information of a magnetic field so as to improve the detection precision and reduce the installation cost.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a power transmission cable space state detection method based on a three-dimensional magnetic sensor.
The invention adopts the following technical scheme for realizing the aim of the invention:
a method for detecting the space form of a power transmission cable based on three-dimensional magnetic sensors is realized by two three-dimensional magnetic sensors and a digital signal processor.
The ground is used as an xy plane, a plane when the power transmission cable naturally sags is an xz plane, and a plane perpendicular to the xy plane and the xz plane is a yz plane. The xy plane intersects the xz plane at the x axis; the xy plane and the yz plane are compared with the y axis; the xz plane intersects the yz plane at the z-axis.
Two three-dimensional magnetic sensors are longitudinally distributed in the z-axis direction, and the difference of longitudinal installation distances is dh. And respectively detecting three-dimensional magnetic field information at the mounting points. The digital signal processor samples two three-dimensional magnetic sensors to respectively detectA signal vector of
Figure BDA0003538825870000021
And
Figure BDA0003538825870000022
the power transmission cable has a point which is closest to the two magnetic sensors, and the tangential vector L at the point is equal to (L)x,ly,lz) Which is used to represent the spatial configuration of the power transmission cable.
When the power transmission cables are in different wire galloping degrees, the included angle alpha between the plane where the power transmission cables are located and the xy plane represents the galloping degree of the power transmission cables. The algorithm for calculating the galloping degree of the power transmission cable according to the output signal of the single magnetic sensor specifically comprises the following steps:
(1) when the power transmission cable is in any waving state, a single magnetic field vector is recorded in the digital signal processor as
Figure BDA0003538825870000023
(2) In the digital signal processor, the galloping degree of the transmission cable is solved according to the following formula:
Figure BDA0003538825870000024
when the power transmission cable is in different vertical falling degrees, the included angle between the tangential vector L and the x axis at the nearest point of the power transmission cable and the two magnetic sensors represents the vertical falling degree of the power transmission cable. The algorithm for calculating the drooping degree of the power transmission cable according to the output signals of the two three-dimensional magnetic sensors is specifically as follows:
(1) when the power transmission cable is in an initial falling state, recording the linear distance d between the upper magnetic sensor and the power transmission cable in the digital signal processorl1Recording the linear distance d between the magnetic sensor and the power transmission cablel2The difference between the two linear distances is recorded as dle
(2) When the power transmission cable is in an initial falling state, the magnetism output by the two magnetic-sensitive elements is recorded in the digital signal processorField vectors, respectively Hs10And Hs20Vector Hs10And Hs20The difference between them is recorded as Hse0
(3) When the power transmission cable is in any drooping state, the magnetic field vectors output by the two magneto-sensitive elements are recorded in the digital signal processor and are respectively Hs11And Hs21Vector Hs11And Hs21The difference between them is recorded as Hse1
(4) In the digital signal processor, the degree of the drooping in any state of the drooping is solved according to the following formula, wherein alpha is the galloping degree,
Figure BDA0003538825870000031
by adopting the technical scheme, the invention has the following beneficial effects:
(1) according to the invention, through a small number of magnetic sensors arranged on a tower frame for erecting a power transmission cable and a digital processor for processing output signals of the magnetic sensors, three-dimensional magnetic field information in the output signals of the magnetic sensors is fully utilized, and angle information representing galloping degree and drooping degree is inverted by utilizing three-dimensional information of a plane where the power transmission cable is located, so that direct decoupling of galloping detection and drooping detection of the power transmission cable is realized.
(2) The magnetic sensor mounting mode adopted by the invention not only avoids using a magnetic ring directly sleeved on the transmission cable, but also reduces the using quantity of the magnetic sensitive elements, and realizes the high-compactness and low-cost transmission cable galloping and falling state detection.
Drawings
Fig. 1 is a schematic diagram of detecting a spatial form of a power transmission cable based on a three-dimensional magnetic sensor according to the present invention.
Fig. 2 is a flowchart of a power transmission cable spatial form detection algorithm based on a three-dimensional magnetic sensor according to the present invention.
The reference numbers in the figures illustrate: 1. the device comprises a power transmission cable, 2, a first three-dimensional magnetic sensor, 3, a second three-dimensional magnetic sensor, 4 and a digital signal processor.
Detailed Description
The technical scheme of the invention is explained in detail in the following with reference to the attached drawings.
The method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor is realized by the detection device shown in fig. 1, and the detection device comprises the power transmission cable 1, a first three-dimensional magnetic sensor 2, a second three-dimensional magnetic sensor 3 and a digital signal processor 4.
As shown in fig. 1, the ground is defined as an xy plane, a plane in which the power transmission cable 1 naturally hangs down is defined as an xz plane, and a plane perpendicular to the xy plane and the xz plane is defined as a yz plane. The xy plane intersects the xz plane at the x axis; the xy plane and the yz plane are compared with the y axis; the xz plane intersects the yz plane at the z-axis. The first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 are longitudinally distributed in the z-axis direction and then are installed on the tower, and the difference between the longitudinal installation distances dh. An included angle alpha between a plane where the power transmission cable 1 is located and an xy plane is defined as the galloping degree of the power transmission cable 1, and an included angle beta between a tangential vector at a point, which is closest to the two magnetic sensors, on the power transmission cable 1 and the x axis is defined as the drooping degree of the power transmission cable 1.
The digital signal processor 4 detects the three-dimensional magnetic field information at the mounting points of the first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 in real time, and respectively detects the first magnetic field vector
Figure BDA0003538825870000041
And a second magnetic field vector
Figure BDA0003538825870000042
The drop detection and the galloping detection are decoupled according to the procedure shown in fig. 2, wherein,
Figure BDA0003538825870000043
the x-axis, y-axis, and z-axis components of the first magnetic field vector,
Figure BDA0003538825870000044
the x-axis, y-axis, and z-axis components of the second magnetic field vector, respectively.
Example 1: detecting a power transmission cable in a non-initial pendulous, non-galloping state
When the power transmission cable is in a non-initial falling and non-galloping state, the galloping degree alpha is 90 degrees, a point P closest to the two magnetic sensors exists on the power transmission cable 1, and a tangential vector L at the point P is (L)x,ly,lz) The tangential vector is used to represent the spatial form of the power transmission cable 1.
When the power transmission cable 1 is at different degrees of sag, the angle β between the tangential vector L at point P and the x-axis represents the degree of sag of the power transmission cable 1. The algorithm for calculating the drooping degree of the power transmission cable 1 according to the output signals of the first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 specifically comprises the following steps:
(1) when the power transmission cable 1 is in an initial falling state, recording the linear distance d between the first three-dimensional magnetic sensor 2 and the power transmission cable 1 in the digital signal processor 4l1Recording the linear distance d between the second three-dimensional magnetic sensor 3 and the power transmission cable 1l2The difference between the two linear distances is denoted as dle
(2) When the power transmission cable 1 is in an initial falling state, the magnetic field vectors output by the first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 are recorded in the digital signal processor 4 and respectively are Hs10And Hs20Vector Hs10And Hs20The difference between them is recorded as Hse0
(3) When the power transmission cable 1 is in any drooping state, the magnetic field vectors output by the first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 are recorded in the digital signal processor 4 and respectively are Hs11And Hs21Vector Hs11And Hs21The difference between them is recorded as Hse1
(4) Within the digital signal processor 4, the degree of sag of the power transmission cable 1 in any sag state is solved according to the following formula:
Figure BDA0003538825870000051
example 2: detecting a power transmission cable in an initial pendulous, optionally waved state
When the power transmission cable 1 is in the initial vertical positionWhen the power transmission cable 1 is in the waving state, the included angle alpha between the plane where the power transmission cable 1 is located and the xy plane represents the waving degree of the power transmission cable 1. At this time, the output quantity of the first three-dimensional magnetic sensor 2 is recorded in the digital signal processor 4 as
Figure BDA0003538825870000052
Within the digital signal processor 4, the degree of waving of the power transmission cable 1 is solved according to the following formula:
Figure BDA0003538825870000053
at this time, the process of the present invention,
Figure BDA0003538825870000054
the degree of sag of the power transmission cable 1 is solved according to the following formula: beta ═ arccos (sin α d)le/dh)。
Example 3: detecting a power transmission cable in a non-initial pendulous, optionally waved state
There is a point P on the power transmission cable 1 closest to the two magnetic sensors, where the tangential vector L is (L)x,ly,lz) Which is used to represent the spatial configuration of the power transmission cable.
When the power transmission cable 1 is in a non-initial drooping, optionally dancing state. An included angle alpha between the plane where the power transmission cable 1 is located and the xy plane represents the galloping degree of the power transmission cable 1; the angle of the vector L to the x-axis represents the degree of sag of the power transmission cable 1. The algorithm for decoupling galloping detection and drooping detection specifically comprises the following steps:
(1) recording the output of the first three-dimensional magnetic sensor 2 in the digital signal processor 4 as
Figure BDA0003538825870000055
Figure BDA0003538825870000056
Within the digital signal processor 4, the degree of waving of the transmission cable is solved according to the following formula:
Figure BDA0003538825870000057
(2) when the power transmission cable 1 is in an initial falling state, recording the linear distance d between the first three-dimensional magnetic sensor 2 and the power transmission cable 1 in the digital signal processor 4l1And recording the linear distance d between the second three-dimensional magnetic sensor 3 and the power transmission cable 1l2The difference between the two linear distances is recorded as dle
(3) When the power transmission cable 1 is in an initial falling state, the magnetic field vectors output by the first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 are recorded in the digital signal processor 4 and respectively are Hs10And Hs20Vector Hs10And Hs20The difference between them is recorded as Hse0
(4) When the power transmission cable 1 is in any drooping state, the magnetic field vectors output by the first three-dimensional magnetic sensor 2 and the second three-dimensional magnetic sensor 3 are recorded in the digital signal processor 4 and respectively are Hs11And Hs21Vector Hs11And Hs21The difference between them is recorded as Hse1
(5) Within the digital signal processor 4, the degree of sag of the power transmission cable 1 in any sag state is solved according to the following formula:
Figure BDA0003538825870000061
the present application is described with reference to flow charts of methods according to embodiments of the present application. It will be understood by those within the art that each flow of the flowcharts, and combinations of flows in the flowcharts, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, implement the flow or flows of the flowchart.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the process or processes in the flowchart are implemented on the computer or other programmable apparatus.
The above description is only a preferred embodiment of the present invention, and the scope of the present invention is not limited to the above embodiment, and any technical means that fall within the spirit of the present invention falls within the scope of the present invention. It should be noted that various modifications and adaptations to those skilled in the art may be made without departing from the principles of the present invention and are intended to be within the scope of the present invention.

Claims (10)

1. A three-dimensional magnetic sensor-based power transmission cable space form detection method is characterized in that a three-dimensional coordinate system is established, the three-dimensional coordinate system takes the ground as an xy plane, a plane when a power transmission cable naturally sags as an xz plane, and a plane perpendicular to the xy plane and the xz plane as a yz plane, two three-dimensional magnetic sensors are longitudinally installed in the z-axis direction, magnetic field vectors output by the two three-dimensional magnetic sensors are collected in real time, an included angle between the plane where the power transmission cable is located and the xy plane is calculated to obtain a detection result of the galloping degree of the power transmission cable, and an included angle between a tangential vector at a nearest point on the power transmission cable and the two three-dimensional magnetic sensors and the x axis is calculated to obtain a detection result of the sagging degree of the power transmission cable.
2. The method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor as claimed in claim 1, wherein the method is based on the expression
Figure FDA0003538825860000011
Calculating the included angle between the plane of the transmission cable and the xy plane to obtain the detection result of the galloping degree of the transmission cable in any galloping state, wherein alpha is the included angle between the plane of the transmission cable and the xy plane,
Figure FDA0003538825860000012
a y-axis component, a z-axis component of a magnetic field vector output for a single three-dimensional magnetic sensor.
3. According to claimThe method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor as claimed in claim 2, wherein when α is 90 °, the method is according to the expression
Figure FDA0003538825860000013
Calculating the included angle between the tangential vector of the power transmission cable and the nearest point of the two magnetic sensors and the x axis to obtain the detection result of the falling degree of the power transmission cable in a non-initial falling and non-galloping state, wherein alpha is the included angle between the plane where the power transmission cable is located and the xy plane, beta is the included angle between the tangential vector of the power transmission cable and the nearest point of the two three-dimensional magnetic sensors and the x axis, and H is the included angle between the tangential vector of the power transmission cable and the nearest point of the two three-dimensional magnetic sensors and the x axisse1Is the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in any drooping statese0Is the difference value of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in an initial falling state, dleIs the difference between the linear distances of two three-dimensional magnetic sensors and the power transmission cable, dhIs the longitudinal installation distance of two three-dimensional magnetic sensors.
4. The method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor as claimed in claim 2, wherein the expression β ═ arccos (sin α d) is usedle/dh) Calculating the included angle between the tangential vector of the power transmission cable and the nearest point of the two magnetic sensors and the x axis to obtain the detection result of the drooping degree of the power transmission cable in the initial drooping state and any galloping state, wherein beta is the included angle between the tangential vector of the power transmission cable and the nearest point of the two three-dimensional magnetic sensors and the x axis, and dleIs the difference between the linear distances of two three-dimensional magnetic sensors and the power transmission cable, dhIs the longitudinal installation distance of two three-dimensional magnetic sensors.
5. The method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor as claimed in claim 2, wherein the method is based on the expression
Figure FDA0003538825860000014
Calculating the included angle between the tangential vector of the power transmission cable and the nearest point of the two magnetic sensors and the x axis to obtain the detection result of the drooping degree of the power transmission cable in a non-initial drooping state and any galloping state, wherein beta is the included angle between the tangential vector of the power transmission cable and the nearest point of the two three-dimensional magnetic sensors and the x axis, H is the included angle between the tangential vector of the power transmission cable and the nearest point of the two three-dimensional magnetic sensors and the x axis, and H is the included angle between the tangential vector of the power transmission cable and the x axisse1Is the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in any drooping statese0Is the difference value of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in an initial falling state, dleIs the difference between the linear distances of two three-dimensional magnetic sensors and the power transmission cable, dhIs the longitudinal installation distance of two three-dimensional magnetic sensors.
6. The system for realizing the method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor in the claim 1 is characterized by comprising the following steps:
the first three-dimensional magnetic sensor is arranged on a tower frame for erecting a power transmission cable and outputs a detection signal;
the second three-dimensional magnetic sensor is arranged on a tower frame for erecting the power transmission cable and outputs a detection signal; and a process for the preparation of a coating,
and the digital signal processor is used for establishing a three-dimensional coordinate system, acquiring output signals of the two three-dimensional magnetic sensors in real time, and decoupling and calculating the detection result of the galloping degree of the power transmission cable and the detection result of the drooping degree of the power transmission cable.
7. The system for realizing the method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor as claimed in claim 6, wherein the digital signal processor comprises: the device comprises an analog-to-digital converter, a processor and a memory, wherein the analog-to-digital converter outputs magnetic field vectors to the processor after performing analog-to-digital conversion on output signals of two three-dimensional magnetic sensors acquired in real time, a computer program capable of running on the processor is stored in the memory, and the processor executes the computer program to process the magnetic field vectors to obtain a detection result of the galloping degree of the power transmission cable and a detection result of the vertical falling degree of the power transmission cable.
8. The system for realizing the three-dimensional magnetic sensor-based transmission cable spatial morphology detection method according to claim 6, wherein the first three-dimensional magnetic sensor and the second three-dimensional magnetic sensor are distributed longitudinally along the z-axis direction and are respectively mounted on a tower through a rigid support.
9. The system for implementing a three-dimensional magnetic sensor-based power transmission cable spatial morphology detection method according to claim 7, characterized in that the processor executes the computer program to implement the steps of:
acquiring the difference d between the linear distances of two three-dimensional magnetic sensors and a power transmission cableleLongitudinal installation distance d of two three-dimensional magnetic sensorshAnd the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in the initial falling statese0And the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in any vertical falling statese1
Calculating an included angle alpha between a plane where the power transmission cable is located and an xy plane according to a magnetic field vector output by the single magnetic sensor to obtain a detection result of the galloping degree of the power transmission cable in any galloping state, and calculating a difference value d between the linear distances of the two three-dimensional magnetic sensors and the power transmission cable according to the included angle alpha between the plane where the power transmission cable is located and the xy plane and the difference value d between the linear distances of the two three-dimensional magnetic sensors and the power transmission cableleLongitudinal installation distance d of two three-dimensional magnetic sensorshCalculating the included angle between the tangential vector at the closest point on the power transmission cable and the two magnetic sensors and the x axis to obtain the detection result of the vertical falling degree of the power transmission cable in the initial vertical falling state and any galloping state;
when the included angle between the plane where the power transmission cable is located and the xy plane is 90 degrees, the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors is obtained according to the condition that the power transmission cable is in any drooping statese1And the difference value of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in the initial falling stateHse0And the difference d between the two three-dimensional magnetic sensors and the linear distance of the power transmission cableleLongitudinal installation distance d of two three-dimensional magnetic sensorshCalculating the included angle between the tangential vector at the closest point on the power transmission cable and the two magnetic sensors and the x axis to obtain the detection result of the vertical falling degree of the power transmission cable in the non-initial vertical falling state and the non-galloping state;
when the included angle between the plane where the power transmission cable is located and the xy plane is not 90 degrees, the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors is obtained according to the condition that the power transmission cable is in any drooping statese1And the difference value H of the magnetic field vectors output by the two three-dimensional magnetic sensors when the power transmission cable is in the initial falling statese0An included angle alpha between a plane where the power transmission cable is located and an xy plane, and a difference value d between linear distances of the two three-dimensional magnetic sensors and the power transmission cableleLongitudinal installation distance d of two three-dimensional magnetic sensorshAnd calculating the included angle between the tangential vector at the nearest point on the power transmission cable and the two magnetic sensors and the x axis so as to obtain the detection result of the vertical falling degree of the power transmission cable in a non-initial vertical falling state and any waving state.
10. The system for realizing the method for detecting the spatial form of the power transmission cable based on the three-dimensional magnetic sensor as claimed in claim 9, wherein the processor performs read-write operation with the memory to buffer intermediate data generated in the decoupling calculation process when executing the computer program.
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