CN111753391B - Power transmission line design method and system based on maximum field intensity of surface of split conductor - Google Patents
Power transmission line design method and system based on maximum field intensity of surface of split conductor Download PDFInfo
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- CN111753391B CN111753391B CN202010395245.4A CN202010395245A CN111753391B CN 111753391 B CN111753391 B CN 111753391B CN 202010395245 A CN202010395245 A CN 202010395245A CN 111753391 B CN111753391 B CN 111753391B
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- H02G—INSTALLATION OF ELECTRIC CABLES OR LINES, OR OF COMBINED OPTICAL AND ELECTRIC CABLES OR LINES
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- H02G1/02—Methods or apparatus specially adapted for installing, maintaining, repairing or dismantling electric cables or lines for overhead lines or cables
Abstract
The invention discloses a power transmission line design method based on the maximum field intensity of the surface of a split conductor, which comprises the following steps: establishing a split conductor theoretical model and a corresponding split conductor simulation model; obtaining the surface maximum electric field intensity of the simulated split conductor under different geometric characteristic parameters in the split conductor simulation model under the condition that the unit line length electric charge quantity is 1C/m; fitting the simulation result to obtain a formula coefficient of a polynomial; and obtaining a relational expression of the maximum electric field intensity of the surface of the split conductor with the unit line length electric charge amount of 1C/m according to the formula coefficient, and calculating the maximum electric field intensity of the surface of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression so as to design the electric overhead transmission line. The power transmission line design method based on the maximum field intensity on the surface of the split conductor can improve the accuracy of the maximum field intensity on the surface of the split conductor, so that the design quality of the overhead power line is improved. The invention also discloses a system and a storage medium.
Description
Technical Field
The invention relates to the technical field of power systems, in particular to a power transmission line design method and system based on the maximum field intensity of the surface of a split conductor and a storage medium.
Background
In power systems, conductors are an important component of overhead power transmission lines and function to carry power current so that power energy is transmitted in a particular direction. When the voltage grade of the transmission line is higher and the transmission capacity is larger, in order to reduce the surface electric field intensity of the conductor and improve the current carrying capacity of the line, a plurality of sub-conductors are arranged at equal intervals according to a certain rule to form the split conductor. The accurate surface electric field intensity is obtained, and the method has very important effect on improving the design quality of the overhead power transmission line.
At present, a calculation formula of the surface electric field intensity of a multi-split conductor is given in a standard DL/T691-1999 radio interference calculation method of a high-voltage overhead power transmission line in the power industry, and the surface electric field intensity of the split conductor is calculated according to the radius of the split conductor, the radius of a sub-conductor and the number of the split conductors. The inventor finds that the calculation result of the method for calculating the electric field intensity on the surface of the split conductor in the prior art has larger error compared with the actual measurement result in the process of implementing the invention.
Disclosure of Invention
The invention provides a power transmission line design method based on the maximum field intensity of the surface of a split conductor, which can improve the accuracy of the maximum field intensity of the surface of the split conductor, thereby improving the design quality of an overhead power transmission line.
The embodiment of the invention provides a power transmission line design method based on the maximum field intensity of the surface of a split conductor, which comprises the following steps:
establishing a split conductor theoretical model and a split conductor simulation model corresponding to the split conductor theoretical model;
carrying out simulation calculation to obtain the surface maximum electric field intensity of the simulated split conductor under different geometric characteristic parameters in the split conductor simulation model under the condition that the unit line length electric charge quantity is 1C/m; wherein the geometric characteristic parameters comprise the split conductor split spacing and the sub-conductor section diameter;
calculating the surface maximum electric field strength of the split conductors under the charge quantity per unit length of 1C/m by using the splitting intervals of different split conductors and the section diameters of the sub-conductors obtained by simulation, and fitting in a polynomial mode to obtain the formula coefficient of the surface maximum electric field strength polynomial of the split conductors under the charge quantity per unit length of 1C/m;
obtaining a relational expression of the maximum electric field intensity of the lower surface of the split conductor with the unit line length electric charge amount of 1C/m, the conductor split distance and the sub-conductor section diameter according to the formula coefficient, and calculating the maximum field intensity of the surface of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression;
and designing the overhead power transmission line of the electric power in which the split conductor is positioned according to the maximum field intensity on the surface of the split conductor.
As an improvement of the above scheme, the split conductor theoretical model includes: an infinitely long cylinder, and an infinitely long split conductor located in the cylinder;
wherein the geometric center line of the split conductor is coincident with the geometric center line of the cylinder; each sub-conductor of the split conductor is an ideal conductor and is at a high potential; the rest space inside the cylinder except the space occupied by the split conductor is in a vacuum state, and the dielectric constant of the rest space is the same as that of the free space; the outer surface of the cylinder is an equipotential surface and is at zero potential.
As an improvement of the above scheme, the performing simulation calculation on the split conductor simulation model to obtain the surface maximum electric field strength of the simulated split conductor under different geometric characteristic parameters in the split conductor simulation model under the condition that the unit linear length electric charge amount is 1C/m specifically includes:
obtaining the specific potential of the simulated split conductor through simulation calculation
Amount of electric charge per unit length
And the maximum electric field intensity of the surface of the simulated split conductor
Calculating the surface maximum electric field intensity of the simulated split conductor at the unit line length charge amount of 1C/m by the following formula (1):
in the formula (I), the compound is shown in the specification,
for artificial split conductor at a certain potential
The maximum electric field intensity of the surface is in the unit of V/m;
at a particular potential for artificial split conductors
The unit length of the charge is C/m; e' max The surface maximum electric field intensity of the simulated split conductor under the charge quantity per unit length of the wire is 1C/m, and the unit is V/m.
As an improvement of the above scheme, the calculating, for different bundle conductor bundle pitches and sub-conductor section diameters obtained by simulation, the surface maximum electric field strength of the bundle conductor under the unit length electric charge of 1C/m is fitted in a polynomial manner to obtain a formula coefficient of the surface maximum electric field strength polynomial of the bundle conductor under the unit length electric charge of 1C/m, and the method specifically includes:
fitting the surface maximum electric field strength of the split conductor under the unit length electric charge quantity of 1C/m calculated by the least square method for the split intervals of different split conductors and the section diameter of the sub-conductor obtained by simulation in a polynomial mode to obtain a formula coefficient of the surface maximum electric field strength polynomial of the split conductor;
the polynomial is represented by the following formula (3):
in the formula, p 00 ，p 10 ，p 01 ，p 20 ，p 11 ，p 02 ，p 30 ，p 21 ，p 12 ，p 03 ，p 40 ，p 31 ，p 22 ，p 13 ，p 04 ，p 50 ，p 41 ，p 32 ，p 23 ，p 14 ，p 05 Is a formula coefficient; d is the splitting distance of the conductor, and the unit is m; d is the diameter of the section of the sub-conductor, and the unit is m; e' max And (D, D) is the maximum electric field intensity on the surface of the split conductor when the unit length charge quantity q =1C/m of the conductor.
As an improvement of the scheme, when the electric charge quantity per unit length of the conductor is q, the maximum electric field intensity E of the surface of the split conductor of the power transmission line is calculated by the following formula (4) max (d,D,q)：
E max (d,D,q)＝E' max (d,D)×q (4)。
As an improvement of the above scheme, the obtaining a relational expression of the maximum electric field intensity of the surface of the split conductor at a unit linear length charge amount of 1C/m, the conductor splitting distance and the sub-conductor cross-section diameter according to the formula coefficient, and calculating the maximum field intensity of the surface of the split conductor according to the relational expression specifically includes:
substituting the formula coefficient into the formula (3) to obtain a relational expression of the maximum electric field intensity of the surface of the split conductor with the unit length electric charge amount of 1C/m, the splitting distance of the conductor and the section diameter of the sub-conductor;
and calculating the maximum field intensity of the lower surface of the split conductor under the condition that the charge quantity per unit length is 1C/m under the split distance of the corresponding split conductor of the designed overhead power transmission line and the section diameter of the sub-conductor through the relational expression.
And (4) calculating the maximum electric field intensity of the surface of the split conductor of the corresponding split conductor of the designed power overhead transmission circuit under the corresponding unit length charge quantity according to the formula (4).
The embodiment of the invention correspondingly provides a power transmission line design system based on the maximum field intensity of the surface of a split conductor, which comprises the following steps:
the model building unit is used for building a split conductor theoretical model and a split conductor simulation model corresponding to the split conductor theoretical model;
the simulation calculation unit is used for obtaining the surface maximum electric field intensity of the simulated split conductor under the condition that the unit line length electric charge quantity is 1C/m under different geometric characteristic parameters in the split conductor simulation model; wherein the geometric characteristic parameters comprise the split conductor split spacing and the sub-conductor section diameter;
the coefficient fitting unit is used for fitting the surface maximum electric field strength of the split conductors under the unit length electric charge of 1C/m calculated by the simulation of the splitting intervals of different split conductors and the section diameters of the sub-conductors in a polynomial mode to obtain the formula coefficients of the surface maximum electric field strength polynomial of the split conductors;
the surface maximum electric field intensity calculating unit is used for obtaining a relational expression of the surface maximum electric field intensity of the split conductor with the unit linear length electric charge amount of 1C/m, the split distance of the conductor and the section diameter of the sub-conductor according to the formula coefficient, and calculating the surface maximum electric field intensity of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression;
and the electric overhead transmission line design unit is used for designing the electric overhead transmission line where the split conductor is located according to the maximum field intensity on the surface of the split conductor.
Correspondingly, the third embodiment of the invention provides a power transmission line design system based on the maximum field intensity of the surface of a split conductor, which comprises the following steps: the design method comprises a processor, a memory and a computer program stored in the memory and configured to be executed by the processor, wherein the processor executes the computer program to realize the design method of the electric overhead transmission line based on the maximum field intensity of the surface of the split conductor according to the first embodiment of the invention.
Correspondingly, the fourth embodiment of the present invention provides a computer-readable storage medium, where the computer-readable storage medium includes a stored computer program, and when the computer program runs, the device where the computer-readable storage medium is located is controlled to execute the power transmission line design method based on the maximum field intensity on the surface of the split conductor according to the first embodiment of the present invention.
The power transmission line design method based on the maximum field intensity of the surface of the split conductor provided by the embodiment of the invention has the following beneficial effects:
the corresponding split conductor simulation model is established by combining the theoretical model of the split conductor of the power transmission line, the split conductor of the power transmission line can be accurately simulated and calculated, and the simulation result is fitted by the least square method, so that the calculation difficulty is reduced, and the calculation accuracy is guaranteed; the relational expression of the maximum electric field strength on the surface of the split conductor, the splitting distance of the conductor and the section diameter of the sub-conductor is calculated according to the formula coefficient obtained through fitting, the relevant data of the maximum electric field strength on the surface of the split conductor and the geometric characteristic parameters obtained through tests are realized, and the corresponding mathematical calculation formula is obtained through a curve fitting method, so that the electric field strength on the surface of the split conductor is more accurately calculated under the condition of determining the geometric characteristics, and the design quality of the overhead power transmission line of the electric power is improved.
Drawings
Fig. 1 is a schematic flow chart of a power transmission line design method based on the maximum field strength on the surface of a split conductor according to an embodiment of the present invention.
Fig. 2 is a schematic diagram of a split conductor theoretical model provided by an embodiment of the invention.
Fig. 3 is a schematic diagram of a split conductor simulation model according to an embodiment of the present invention.
Figure 4 is a schematic cross-sectional view of a split conductor in one embodiment.
FIG. 5 is a graphical representation of the maximum electric field strength at the surface of a simulated split conductor in one embodiment.
Fig. 6 is a schematic structural diagram of a power transmission line design system based on the maximum field intensity on the surface of the split conductor according to the second embodiment of 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. All other embodiments, which can be obtained by a person skilled in the art without inventive step based on the embodiments of the present invention, are within the scope of protection of the present invention.
Referring to fig. 1, it is a schematic flow chart of a power transmission line design method based on the maximum field strength on the surface of a split conductor provided in an embodiment of the present invention, including:
s101, establishing a split conductor theoretical model and a split conductor simulation model corresponding to the split conductor theoretical model;
further, the split conductor theoretical model comprises: the device comprises an infinite-length cylinder and an infinite-length split conductor which is positioned in the cylinder;
wherein the geometric center line of the split conductor is superposed with the geometric center line of the cylinder; each sub-conductor of the split conductor is an ideal conductor and is at a high potential; the rest space inside the cylinder except the space occupied by the split conductor is in a vacuum state, and the dielectric constant of the rest space is the same as that of the free space; the outer surface of the cylinder is equipotential and is at zero potential.
Specifically, referring to fig. 2, a schematic diagram of a split conductor theoretical model is shown. It should be noted that fig. 2 illustrates an infinite length of the dummy cylinder and an infinite length of the dummy split conductor within the cylinder. Referring to fig. 3, a diagram of a split conductor simulation model is shown. The split conductor simulation model is a two-dimensional simulation model established corresponding to the section of the split conductor theoretical model.
The conductor is an important component of an overhead transmission line. Its function is to carry the power current so that the power energy is transmitted in a specific direction.
When the voltage grade of the power transmission line is higher and the transmission capacity is larger, in order to reduce the surface electric field intensity of the conductor and improve the current carrying capacity of the line, a plurality of sub-conductors are arranged at equal intervals according to a certain rule to form the split conductor.
Specifically, referring to fig. 4, a cross-sectional shape of a split conductor in one embodiment is illustrated. Fig. 4 (a), fig. 4 (b), and fig. 4 (c) are schematic cross-sectional views of a double-bundle conductor, a four-bundle conductor, and a six-bundle conductor, respectively, where D is a bundle pitch. A double split conductor comprising two sub-conductors; the four-split conductor comprises four sub-conductors which are distributed at equal intervals, and the circle centers of the cross sections of the sub-conductors are positioned at four vertexes of a square; the six split conductors comprise six sub-conductors which are distributed at equal intervals, and the centers of the cross sections of the sub-conductors are located at six vertexes of a regular hexagon.
Specifically, the geometric center of the section of the split conductor in the split conductor simulation model coincides with the center of the external circular section. The circumferential inner region is provided with a dielectric medium having a dielectric constant taken from the spatial dielectric constant, except for the area occupied by the split conductor. The split conductor simulation model main parameter settings are shown in table 1 below. Calculating and solving the simulation model according to the type of the electrostatic field problem to obtain the potential of the split conductor
Amount of electric charge per unit length
And maximum electric field intensity of surface of simulated split conductor
TABLE 1
S102, carrying out simulation calculation to obtain the surface maximum electric field intensity of the simulated split conductor under the condition that the unit line length electric charge quantity is 1C/m under different geometric characteristic parameters in the split conductor simulation model; the geometrical characteristic parameters comprise the splitting distance of the split conductors and the section diameter of the sub-conductors;
further, performing simulation calculation to obtain the surface maximum electric field intensity of the simulated split conductor under different geometric characteristic parameters in the split conductor simulation model under the condition that the unit line length electric charge amount is 1C/m, and specifically comprising the following steps of:
obtaining the specific potential of the simulated split conductor through simulation calculation
Amount of electric charge per unit length
And the maximum electric field intensity of the surface of the simulated split conductor
Calculating the surface maximum electric field intensity of the simulated split conductor at the unit line length charge amount of 1C/m by the following formula (1):
in the formula (I), the compound is shown in the specification,
at a particular potential for artificial split conductors
The surface maximum electric field intensity is expressed in V/m;
for artificial split conductor at a certain potential
The unit length of the charge is C/m; e' max The surface maximum electric field intensity of the simulated split conductor under the charge quantity per unit length of the wire is 1C/m, and the unit is V/m.
Preferably, the modeling and calculation is performed using ANSYS electromagnetic field numerical calculation software.
Referring to fig. 5, a numerical diagram of the maximum electric field strength of the surface of the artificial split conductor under a unit line length electric charge of 1C/m in an embodiment is shown. Fig. 5 (a), 5 (b) and 5 (C) are respectively a numerical diagram of the maximum electric field intensity of the surface of the double-split conductor, the four-split conductor and the six-split conductor when the charge amount per unit length is 1C/m, wherein the maximum electric field intensity of the surface of the simulated split conductor shown in the figure corresponds to the maximum electric field intensity of the surface of the simulated split conductor when the split pitch is 0.2m to 0.6m, the cross-sectional diameter of the sub-conductor is 0.005m to 0.04m, and the charge amount per unit length of the conductor q = 1C/m.
S103, calculating the maximum electric field intensity of the surface of the split conductor under the charge quantity per unit length of 1C/m and fitting the maximum electric field intensity of the surface of the split conductor under the charge quantity per unit length of 1C/m in a polynomial mode according to the split spacing of the different split conductors and the section diameter of the sub-conductor obtained through simulation to obtain a formula coefficient of the maximum electric field intensity polynomial of the surface of the split conductor under the charge quantity per unit length of 1C/m;
further, the method for calculating the surface maximum electric field strength of the split conductor under the condition that the unit length electric charge quantity is 1C/m and fitting the surface maximum electric field strength of the split conductor under the condition that the unit length electric charge quantity is 1C/m is carried out in a polynomial mode according to the different split conductor split distances and the sub-conductor section diameters obtained through simulation to obtain a formula coefficient of the surface maximum electric field strength polynomial of the split conductor under the condition that the unit length electric charge quantity is 1C/m specifically comprises the following steps:
calculating the surface maximum electric field strength of the split conductors under the charge quantity per unit length of 1C/m by using a least square method to fit the split distances of different split conductors and the section diameters of the sub-conductors obtained by simulation in a polynomial mode to obtain the formula coefficients of the polynomial of the surface maximum electric field strength of the split conductors;
the polynomial expression is represented by the following formula (3):
in the formula, p 00 ，p 10 ，p 01 ，p 20 ，p 11 ，p 02 ，p 30 ，p 21 ，p 12 ，p 03 ，p 40 ，p 31 ，p 22 ，p 13 ，p 04 ，p 50 ，p 41 ，p 32 ，p 23 ，p 14 ，p 05 Is a formula coefficient; d is the splitting distance of the conductor, and the unit is m; d is the diameter of the section of the sub-conductor, and the unit is m; e' max (D, D) represents the maximum electric field intensity on the surface of the split conductor when the unit length of the conductor has the charge quantity q = 1C/m.
Table 2 below shows a table of values of the coefficients of the formula of the electric field strength polynomial of the surface of the divided conductor in one embodiment. The values in table 2 are obtained by fitting the values of the electric field intensity on the surface of the simulated split conductor in the specific embodiment.
TABLE 2
S104, obtaining a relational expression of the maximum electric field intensity of the lower surface of the split conductor with the unit line length electric charge amount of 1C/m, the conductor split distance and the sub-conductor section diameter according to the formula coefficient, and calculating the maximum field intensity of the surface of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression;
further, a relational expression of the maximum electric field intensity of the surface of the split conductor under the condition that the unit line length electric charge quantity is 1C/m, the conductor split distance and the sub-conductor section diameter is obtained according to a formula coefficient, and the maximum field intensity of the surface of the corresponding split conductor of the designed electric overhead transmission line is calculated according to the relational expression, and the method specifically comprises the following steps:
substituting the formula coefficient into formula (3) to obtain a relational expression of the maximum electric field intensity of the lower surface of the split conductor with the unit length electric charge of 1C/m, the split distance of the conductor and the section diameter of the sub-conductor;
and calculating the maximum field intensity of the surface of the split conductor under the condition that the charge quantity per unit length is 1C/m under the split distance of the corresponding split conductor of the designed overhead power transmission line and the section diameter of the sub-conductor through a relational expression.
Further, when the electric charge quantity per unit length of the conductor is q, the maximum electric field intensity E of the surface of the split conductor of the power transmission line is calculated by the following formula (4) max (d,D,q)：
E max (d,D,q)＝E' max (d,D)×q (4)。
Specifically, E 'can be calculated according to the formula (3) after the conductor splitting distance D, the sub-conductor section diameter D and the unit length charge quantity q corresponding to the designed overhead transmission line are known' max (D, D), and further calculating the maximum electric field intensity E on the surface of the corresponding split conductor of the designed overhead power transmission line through the formula (4) max (d,D,q)。
In a specific embodiment, if the corresponding split conductor of the designed overhead power transmission line is a four-split conductor, the conductor split distance D =0.33m, the sub-conductor section diameter D =0.02m, and the charge amount q =10C/m per unit length of the split conductor; according to the formula (3), when the charge amount per unit length of the conductor is calculated to be 1C/m, the maximum value of the electric field intensity of the surface of the four-split conductor is E' max (d,D)＝5.25×10 11 V/m; according to the formula (4), under the condition that the unit length electric charge quantity q =10C/m is obtained through calculation, the maximum value of the electric field intensity of the surface of the corresponding split conductor of the designed overhead power transmission line is E max ＝5.25×10 12 V/m。
And S105, designing the overhead power transmission line of the power in which the split conductor is located according to the maximum field intensity on the surface of the split conductor.
Specifically, the surface electric field intensity of the split conductor is accurately calculated, the accuracy of the surface electric field intensity of the split conductor is improved, a foundation can be provided for the design of the electric power overhead transmission line, and therefore the design quality of the electric power overhead transmission line is improved.
The power transmission line design method based on the maximum field intensity of the surface of the split conductor provided by the embodiment of the invention has the following beneficial effects:
the corresponding split conductor simulation model is established by combining the theoretical model of the split conductor of the power transmission line, the split conductor of the power transmission line can be accurately simulated and calculated, and the simulation result is fitted by the least square method, so that the calculation difficulty is reduced, and meanwhile, the calculation accuracy is ensured; the relational expression of the maximum electric field strength on the surface of the split conductor, the splitting distance of the conductor and the section diameter of the sub-conductor is calculated according to the formula coefficient obtained through fitting, the relevant data of the maximum electric field strength on the surface of the split conductor and the geometric characteristic parameters obtained through tests are realized, and the corresponding mathematical calculation formula is obtained through a curve fitting method, so that the electric field strength on the surface of the split conductor is more accurately calculated under the condition of determining the geometric characteristics, and the design quality of the overhead power transmission line of the electric power is improved.
Referring to fig. 6, which is a schematic structural diagram of a power transmission line design system based on the maximum field strength on the surface of a split conductor according to a second embodiment of the present invention, the power transmission line design system includes:
a model construction unit 201, configured to construct a split conductor simulation model corresponding to the split conductor theoretical model;
the simulation calculation unit 202 is used for obtaining the surface maximum electric field intensity of the simulated split conductor under the condition that the unit line length electric charge quantity is 1C/m under different geometric characteristic parameters in the split conductor simulation model; the geometrical characteristic parameters comprise the splitting distance of the split conductors and the section diameter of the sub-conductors;
the coefficient fitting unit 203 is used for fitting the surface maximum electric field strength of the split conductors under the unit length electric charge of 1C/m calculated by the simulation of the splitting intervals of different split conductors and the section diameters of the sub-conductors in a polynomial mode to obtain formula coefficients of the surface maximum electric field strength polynomial of the split conductors;
the surface maximum electric field intensity calculating unit 204 is used for obtaining a relational expression of the surface maximum electric field intensity of the split conductor with the unit linear length electric charge amount of 1C/m, the conductor split distance and the sub-conductor section diameter according to the formula coefficient, and calculating the surface maximum electric field intensity of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression;
and the overhead power transmission line design unit 205 is configured to design the overhead power transmission line in which the split conductor is located according to the maximum field intensity on the surface of the split conductor.
Further, the split conductor theoretical model comprises: the device comprises an infinite-length cylinder and an infinite-length split conductor which is positioned in the cylinder;
wherein the geometric center line of the split conductor is superposed with the geometric center line of the cylinder; each sub-conductor of the split conductor is an ideal conductor and is at a high potential; the rest space inside the cylinder except the space occupied by the split conductor is in a vacuum state, and the dielectric constant of the rest space is the same as that of the free space; the outer surface of the cylinder is equipotential and is at zero potential.
Further, performing simulation calculation to obtain the surface electric field intensity of the simulated split conductor under different geometric characteristic parameters in the split conductor simulation model under the condition that the unit line length electric charge quantity is 1C/m, and specifically comprising the following steps of:
obtaining the specific potential of the simulated split conductor through simulation calculation
Amount of electric charge per unit length thereof
And the maximum electric field intensity of the surface of the simulated split conductor
Calculating the surface maximum electric field intensity of the simulated split conductor under the condition that the unit line length charge quantity is 1C/m according to the following formula (1):
in the formula (I), the compound is shown in the specification,
at a particular potential for artificial split conductors
The maximum electric field intensity of the surface is in the unit of V/m;
at a particular potential for artificial split conductors
The unit length of the charge quantity is C/m; e' max The surface maximum electric field intensity of the simulated split conductor under the charge quantity per unit length of the wire is 1C/m, and the unit is V/m.
Further, calculating the surface maximum electric field strength of the split conductor under the charge quantity per unit length of 1C/m and fitting the surface maximum electric field strength of the split conductor under the charge quantity per unit length of 1C/m in a polynomial manner to obtain a formula coefficient of the surface maximum electric field strength polynomial of the split conductor under the charge quantity per unit length of 1C/m, which is specifically shown in the specification:
calculating the surface maximum electric field strength of the split conductors under the charge quantity per unit length of 1C/m by using a least square method to fit the split distances of different split conductors and the section diameters of the sub-conductors obtained by simulation in a polynomial mode to obtain the formula coefficients of the polynomial of the surface maximum electric field strength of the split conductors;
the polynomial expression is represented by the following formula (3):
in the formula, p 00 ，p 10 ，p 01 ，p 20 ，p 11 ，p 02 ，p 30 ，p 21 ，p 12 ，p 03 ，p 40 ，p 31 ，p 22 ，p 13 ，p 04 ，p 50 ，p 41 ，p 32 ，p 23 ，p 14 ，p 05 Is a system of formulasCounting; d is the splitting distance of the conductor, and the unit is m; d is the diameter of the section of the sub-conductor, and the unit is m; e' max And (D, D) is the maximum electric field intensity on the surface of the split conductor when the unit length charge quantity q =1C/m of the conductor.
Further, when the electric charge quantity per unit length of the conductor is q, the maximum electric field intensity E of the surface of the split conductor of the power transmission line is calculated by the following formula (4) max (d,D,q)：
E max (d,D,q)＝E' max (d,D)×q (4)
Further, a relational expression of the maximum electric field intensity of the surface of the split conductor with the unit length of the electric charge of 1C/m, the split distance of the conductor and the section diameter of the sub-conductor is obtained according to a formula coefficient, and the maximum field intensity of the surface of the corresponding split conductor of the designed overhead power transmission line is calculated according to the relational expression, and the method specifically comprises the following steps:
substituting the formula coefficient into formula (3) to obtain a relational expression of the maximum electric field intensity of the lower surface of the split conductor with the unit length electric charge of 1C/m, the split distance of the conductor and the section diameter of the sub-conductor;
and calculating the maximum field intensity of the surface of the split conductor under the condition that the charge quantity per unit length is 1C/m under the split distance of the corresponding split conductor of the designed overhead power transmission line and the section diameter of the sub-conductor through a relational expression.
And (4) calculating the maximum electric field intensity of the surface of the split conductor of the corresponding split conductor of the designed power overhead transmission circuit under the corresponding unit length charge quantity according to the formula (4).
Correspondingly, the third embodiment of the invention provides a power transmission line design system based on the maximum field intensity on the surface of the split conductor, which comprises a processor, a memory and a computer program stored in the memory and configured to be executed by the processor, wherein when the processor executes the computer program, the power transmission line design method based on the maximum field intensity on the surface of the split conductor in the first embodiment of the invention is realized. The power transmission line design system based on the maximum field intensity of the surface of the split conductor can be computing equipment such as a desktop computer, a notebook computer, a palm computer and a cloud server. The power transmission line design system based on the maximum field intensity of the surface of the split conductor can comprise, but is not limited to, a processor and a memory.
Correspondingly, the fourth embodiment of the invention provides a computer-readable storage medium, which is characterized in that the computer-readable storage medium comprises a stored computer program, wherein when the computer program runs, the device where the computer-readable storage medium is located is controlled to execute the power transmission line design method based on the maximum field intensity on the surface of the split conductor in the first embodiment of the invention.
The Processor may be a Central Processing Unit (CPU), other general purpose Processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA) or other Programmable logic device, discrete Gate or transistor logic device, discrete hardware component, or the like. The general processor can be a microprocessor or the processor can be any conventional processor, etc., the processor is a control center of the transmission line design system based on the maximum field strength on the surface of the split conductor, and various interfaces and lines are used for connecting various parts of the whole transmission line design system based on the maximum field strength on the surface of the split conductor.
The memory can be used for storing the computer program and/or the module, and the processor can realize various functions of the power transmission line design system based on the maximum field intensity on the surface of the split conductor by running or executing the computer program and/or the module stored in the memory and calling the data stored in the memory. The memory may mainly include a storage program area and a storage data area, wherein the storage program area may store an operating system, an application program required by at least one function (such as a sound playing function, an image playing function, etc.), and the like; the storage data area may store data (such as audio data, a phonebook, etc.) created according to the use of the cellular phone, etc. In addition, the memory may include high speed random access memory, and may also include non-volatile memory, such as a hard disk, a memory, a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card), at least one magnetic disk storage device, a Flash memory device, or other volatile solid state storage device.
The integrated module/unit of the power transmission line design system based on the maximum field intensity on the surface of the split conductor can be stored in a computer readable storage medium if the integrated module/unit is realized in the form of a software functional unit and is sold or used as an independent product. Based on such understanding, all or part of the flow of the method according to the embodiments of the present invention may also be implemented by a computer program, which may be stored in a computer-readable storage medium, and when the computer program is executed by a processor, the steps of the method embodiments described above may be implemented. Wherein the computer program comprises computer program code, which may be in the form of source code, object code, an executable file or some intermediate form, etc. The computer-readable medium may include: any entity or system capable of carrying said computer program code, recording medium, usb disk, removable hard disk, magnetic disk, optical disk, computer Memory, read-Only Memory (ROM), random Access Memory (RAM), electrical carrier wave signals, telecommunications signals, software distribution medium, etc.
It should be noted that the above-described system embodiments are merely illustrative, where the units described as separate parts may or may not be physically separate, and the parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of the present embodiment. In addition, in the drawings of the system embodiment provided by the present invention, the connection relationship between the modules indicates that there is a communication connection therebetween, and may be specifically implemented as one or more communication buses or signal lines. One of ordinary skill in the art can understand and implement without inventive effort.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention.
Claims (9)
1. A power transmission line design method based on the maximum field intensity of the surface of a split conductor is characterized by comprising the following steps:
establishing a split conductor theoretical model and a split conductor simulation model corresponding to the split conductor theoretical model;
carrying out simulation calculation to obtain the surface maximum electric field intensity of the simulated split conductor under different geometric characteristic parameters in the split conductor simulation model under the condition that the unit line length electric charge quantity is 1C/m; wherein the geometric characteristic parameters comprise the split conductor split spacing and the sub-conductor section diameter;
calculating the surface maximum electric field strength of the split conductors under the charge quantity per unit length of 1C/m by using the splitting intervals of different split conductors and the section diameters of the sub-conductors obtained by simulation, and fitting in a polynomial mode to obtain the formula coefficient of the surface maximum electric field strength polynomial of the split conductors under the charge quantity per unit length of 1C/m;
obtaining a relational expression of the maximum electric field intensity of the lower surface of the split conductor with the unit line length electric charge amount of 1C/m, the conductor split distance and the sub-conductor section diameter according to the formula coefficient, and calculating the maximum field intensity of the surface of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression;
and designing the overhead power transmission line of the electric power in which the split conductor is positioned according to the maximum field intensity on the surface of the split conductor.
2. The power transmission line design method based on the maximum field intensity on the surface of the split conductor as claimed in claim 1, wherein the theoretical model of the split conductor comprises: an infinitely long cylinder, and an infinitely long split conductor located in the cylinder;
wherein the geometric center line of the split conductor is coincident with the geometric center line of the cylinder; each sub-conductor of the split conductor is an ideal conductor and is at a high potential; the rest space inside the cylinder except the space occupied by the split conductor is in a vacuum state, and the dielectric constant of the rest space is the same as that of the free space; the outer surface of the cylinder is an equipotential surface and is at zero potential.
3. The power transmission line design method based on the maximum field strength on the surface of the split conductor according to claim 2, wherein the performing simulation calculation to obtain the maximum field strength on the surface of the simulated split conductor with the unit line length charge amount of 1C/m under different geometric characteristic parameters in the split conductor simulation model specifically comprises:
obtaining the specific potential of the simulated split conductor through simulation calculation
Amount of electric charge per unit length
And the maximum electric field intensity of the surface of the simulated split conductor
Calculating the surface maximum electric field intensity of the simulated split conductor under the condition that the unit line length charge quantity is 1C/m according to the following formula (1):
in the formula (I), the compound is shown in the specification,
at a particular potential for artificial split conductors
The surface maximum electric field intensity is expressed in V/m;
for artificial split conductor at a certain potential
The unit length of the charge quantity is C/m; e' max The surface maximum electric field intensity of the simulated split conductor under the unit linear length electric charge quantity of 1C/m is shown in the unit of V/m.
4. The power transmission line design method based on the maximum field strength on the surface of the split conductor of claim 3, wherein the maximum electric field strength on the surface of the split conductor under the charge amount per unit length of 1C/m is calculated and fitted in a polynomial manner for different split conductor split distances and sub-conductor section diameters obtained through simulation, so as to obtain a formula coefficient of the maximum electric field strength polynomial on the surface of the split conductor under the charge amount per unit length of 1C/m, and specifically comprises the following steps:
fitting the surface maximum electric field strength of the split conductor under the unit length electric charge quantity of 1C/m calculated by the least square method for the split intervals of different split conductors and the section diameter of the sub-conductor obtained by simulation in a polynomial mode to obtain a formula coefficient of the surface maximum electric field strength polynomial of the split conductor;
the polynomial is represented by the following formula (3):
in the formula, p 00 ，p 10 ，p 01 ，p 20 ，p 11 ，p 02 ，p 30 ，p 21 ，p 12 ，p 03 ，p 40 ，p 31 ，p 22 ，p 13 ，p 04 ，p 50 ，p 41 ，p 32 ，p 23 ，p 14 ，p 05 Is a formula coefficient; d is the splitting distance of the conductor, and the unit is m; d is the diameter of the section of the sub-conductorIn the unit of m; e' max And (D, D) is the maximum electric field intensity on the surface of the split conductor when the unit length charge quantity q =1C/m of the conductor.
5. The power transmission line design method based on the maximum field intensity on the surface of the split conductor as set forth in claim 4, wherein when the electric charge per unit length of the conductor is q, the maximum field intensity E on the surface of the split conductor of the power transmission line is calculated by the following formula (4) max (d,D,q)：
E max (d,D,q)＝E' max (d,D)×q (4)。
6. The power transmission line design method based on the maximum field intensity on the surface of the split conductor of claim 5, wherein the relational expression of the maximum field intensity on the surface of the split conductor, the splitting distance of the conductor and the section diameter of the sub-conductor is obtained according to the formula coefficient, and the maximum field intensity on the surface of the corresponding split conductor of the designed overhead power transmission line is calculated according to the relational expression, and specifically comprises the following steps:
substituting the formula coefficient into the formula (3) to obtain a relational expression of the maximum electric field intensity of the surface of the split conductor with the unit length electric charge amount of 1C/m, the splitting distance of the conductor and the section diameter of the sub-conductor;
calculating the maximum field intensity of the lower surface of the split conductor under the condition that the charge quantity per unit length is 1C/m under the split distance of the corresponding split conductor of the designed overhead power transmission line and the section diameter of the sub-conductor through the relational expression,
and (4) calculating the maximum electric field intensity of the surface of the split conductor of the corresponding split conductor of the designed power overhead transmission circuit under the corresponding unit length charge quantity according to the formula (4).
7. A power transmission line design system based on the maximum field intensity on the surface of a split conductor is characterized by comprising the following components:
the model building unit is used for building a split conductor theoretical model and a split conductor simulation model corresponding to the split conductor theoretical model;
the simulation calculation unit is used for obtaining the surface maximum electric field intensity of the simulated split conductor under the condition that the unit line length electric charge quantity is 1C/m under different geometric characteristic parameters in the split conductor simulation model; wherein the geometric characteristic parameters comprise the split conductor split spacing and the sub-conductor section diameter;
the coefficient fitting unit is used for fitting the surface maximum electric field strength of the split conductors under the condition that the unit length electric charge quantity is 1C/m by calculating the split intervals of different split conductors and the section diameters of the sub-conductors obtained by simulation in a polynomial mode to obtain the formula coefficients of the surface maximum electric field strength polynomial of the split conductors;
the surface maximum electric field intensity calculating unit is used for obtaining a relational expression of the surface maximum electric field intensity of the split conductor with the unit line length electric charge amount of 1C/m, the conductor splitting distance and the sub-conductor section diameter according to the formula coefficient, and calculating the surface maximum electric field intensity of the corresponding split conductor of the designed electric overhead transmission line according to the relational expression;
and the electric overhead transmission line design unit is used for designing the electric overhead transmission line where the split conductor is located according to the maximum field intensity on the surface of the split conductor.
8. A power transmission line design system based on the maximum field strength of the surface of a split conductor, which is characterized by comprising a processor, a memory and a computer program stored in the memory and configured to be executed by the processor, wherein the processor executes the computer program to realize the power transmission line design method based on the maximum field strength of the surface of the split conductor according to any one of claims 1 to 6.
9. A computer-readable storage medium, comprising a stored computer program, wherein when the computer program runs, the computer-readable storage medium is controlled to implement a method for designing a power transmission line based on maximum field strength on a surface of a split conductor according to any one of claims 1 to 6.
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