CN113219308A - Method and system for determining operation impulse discharge voltage of complex gap structure - Google Patents
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Abstract
The invention discloses a method and a system for determining an operation impulse discharge voltage of a complex gap structure, and belongs to the technical field of high voltage and insulation. The method comprises the following steps: according to the arrangement scheme of the engineering equipment with the complex gap structure, the gap structure is discretized into a plurality of typical gap structures; carrying out a typical gap operation impact test to obtain correction test data; fitting the typical gap structure to determine a discharge voltage calculation formula; determining a normal distribution model according to the correction test data and a 50% operation impulse discharge voltage calculation formula under standard weather; determining a discharge voltage probability density function and a gap flashover probability formula according to a normal distribution model; determining a discharge binomial distribution model according to a density function and a gap flashover probability formula; and determining 50% operation impulse discharge voltage of the complex gap structure according to a binomial distribution model and a gap flashover probability formula. The invention obviously improves the convenience of calculating the impulse discharge voltage of the complex gap structure by 50 percent.
Description
Technical Field
The present invention relates to the field of high voltage and insulation technology, and more particularly, to a method and system for determining the operating surge discharge voltage of a complex gap structure.
Background
The current situation that the energy distribution and economic development of China are extremely unbalanced leads to the need of developing ultra-high voltage transmission projects in China and transmits the power resources stored in the west to the east of developed economy. The ultra-high voltage transmission project has the characteristics of large transmission capacity, long transmission line, high voltage grade and the like, and great challenges are brought to the insulation configuration of the ultra-high voltage transmission project. The air gap is the main external insulation form of the ultra-high voltage transmission line, the discharge characteristic of the air gap at the tower head of the transmission line tower is the important basis of the external insulation design of the ultra-high voltage transmission line, and the rationality of the external insulation design directly influences the economy and the safety of the power transmission and transformation engineering design.
The air gap structure of the ultra-high voltage transmission project is complex and changeable, the insulation level is scientifically selected, and the reasonable determination of the gap distance is the key problem of optimizing the external insulation design. At present, air gap discharge voltage at home and abroad is mainly obtained through a test method, the test cost is high, the period is long, most of the air gap discharge voltage is specific to typical gaps, and the test research on a complex gap structure is relatively less, so that the research on the numerical simulation and calculation of the discharge voltage of the complex gap structure is also very limited. Therefore, it is necessary to provide a reliable and easy-to-operate method for calculating the discharge voltage of the complex gap structure, so as to provide guidance for external insulation configuration in the actual ultra-high voltage transmission project.
Disclosure of Invention
The invention aims to provide a method for calculating 50% discharge voltage of a complex gap structure, which can replace partial discharge tests and is simple and easy to popularize, aiming at discharge data of a typical gap in a mode of dispersing the complex gap structure into a plurality of typical gaps, and provides a method for determining the operation impact discharge voltage of the complex gap structure, which comprises the following steps:
determining a gap structure of a grounding body around the high potential of the engineering equipment according to the arrangement scheme of the engineering equipment with the complex gap structure, and dispersing the gap structure into a plurality of typical gap structures;
aiming at the typical gap structure, performing a typical gap operation impact test to obtain test data, correcting the test data to a standard meteorological condition, and obtaining corrected test data;
fitting the typical gap structure, and determining a calculation formula of 50% of operation impact discharge voltage under standard weather;
determining a normal distribution model of 50% of operation impact discharge voltage under standard weather according to the correction test data and a calculation formula of 50% of operation impact discharge voltage under standard weather;
determining a discharge voltage probability density function and a gap flashover probability formula of a typical air gap in a complex gap structure according to a normal distribution model;
determining a typical gap discharge binomial distribution model according to a discharge voltage probability density function and a gap flashover probability formula;
and determining the discharge voltage of 50% operation impact of the complex gap structure according to a typical gap discharge binomial distribution model and a gap flashover probability formula.
Alternatively, the gap discharges of typical gap structures follow a 0-1 distribution.
Optionally, the test data is corrected by the g-parameter method.
Optionally, the normal distribution model is constructed by taking 50% of operation impact discharge voltage as a mean value and standard deviation as a standard deviation for a typical air gap according to the correction test data and the discharge voltage calculation formula.
Alternatively, the standard deviation is the product of the relative standard deviation and the 50% operating surge discharge voltage.
The invention also proposes a system for determining the operating surge discharge voltage of a complex gap structure, comprising:
the arrangement scheme unit is used for determining the gap structure of the grounding body around the high potential of the engineering equipment according to the arrangement scheme of the engineering equipment with the complex gap structure and dispersing the gap structure into a plurality of typical gap structures;
the test data correcting unit is used for performing a typical gap operation impact test on a typical gap structure to obtain test data, correcting the test data to standard meteorological conditions and obtaining corrected test data;
the fitting unit is used for fitting the typical gap structure and determining a 50% operation impulse discharge voltage calculation formula under standard weather;
the normal distribution model determining unit is used for determining a normal distribution model of 50% operation impact discharge voltage under standard weather according to the correction test data and a 50% operation impact discharge voltage calculation formula under the standard weather;
the gap flashover probability formula determining unit is used for determining a discharge voltage probability density function and a gap flashover probability formula of a typical air gap in a complex gap structure according to a normal distribution model;
the binomial distribution model determining unit is used for determining a typical gap discharge binomial distribution model according to the discharge voltage probability density function and the gap flashover probability formula;
and a 50% operation impulse discharge voltage determining unit determines 50% operation impulse discharge voltage of the complex gap structure according to a typical gap discharge binomial distribution model and a gap flashover probability formula.
Alternatively, the gap discharges of typical gap structures follow a 0-1 distribution.
Optionally, the test data is corrected by the g-parameter method.
Optionally, the normal distribution model is constructed by taking 50% of operation impact discharge voltage as a mean value and standard deviation as a standard deviation for a typical air gap according to the correction test data and the discharge voltage calculation formula.
Alternatively, the standard deviation is the product of the relative standard deviation and the 50% operating surge discharge voltage.
The method realizes the calculation of the 50% operation impact discharge voltage of the complex air gap structure, and obviously improves the convenience of the calculation of the 50% operation impact discharge voltage of the complex air gap structure compared with simulation calculation methods such as physical modeling and the like.
Drawings
FIG. 1 is a flow chart of a method for determining the operating surge discharge voltage of a complex gap structure in accordance with the present invention;
FIG. 2 is a schematic view of a ball-wall/ground gap structure in example 1 of the present invention;
FIG. 3 is a graph comparing the calculated 50% operating impulse discharge voltage values for different diameter ball-wall/ground gaps of the present invention with test values;
FIG. 4 is a schematic view of a ball-corner/ground clearance structure in example 2 of the present invention;
FIG. 5 is a diagram of a system architecture for determining the operating surge discharge voltage of a complex gap structure in accordance with the present invention.
Detailed Description
The exemplary embodiments of the present invention will now be described with reference to the accompanying drawings, however, the invention may be embodied in many different forms and is not limited to the embodiments described herein, which are provided for complete and complete disclosure of the invention and to fully convey the scope of the invention to those skilled in the art. The terminology used in the exemplary embodiments illustrated in the accompanying drawings is not intended to be limiting of the invention. In the drawings, the same units/elements are denoted by the same reference numerals.
Unless otherwise defined, terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Further, it will be understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense.
The invention provides a method for determining the operation impulse discharge voltage of a complex gap structure, as shown in figure 1, comprising the following steps:
determining a gap structure of a grounding body around the high potential of the engineering equipment according to the arrangement scheme of the engineering equipment with the complex gap structure, and dispersing the gap structure into a plurality of typical gap structures;
aiming at the typical gap structure, performing a typical gap operation impact test to obtain test data, correcting the test data to a standard meteorological condition, and obtaining corrected test data;
fitting the typical gap structure, and determining a calculation formula of 50% operation impulse discharge voltage under standard weather;
determining a normal distribution model of 50% operation impact discharge voltage under standard weather according to the correction test data and a 50% operation impact discharge voltage calculation formula under the standard weather;
determining a discharge voltage probability density function and a gap flashover probability formula of a typical air gap in a complex gap structure according to a normal distribution model;
determining a typical gap discharge binomial distribution model according to a discharge voltage probability density function and a gap flashover probability formula;
and determining 50% operation impulse discharge voltage of the complex gap structure according to a typical gap discharge binomial distribution model and a gap flashover probability formula.
Wherein the gap discharges of a typical gap structure obey a 0-1 distribution.
Wherein the test data were corrected by the g-parameter method.
And the normal distribution model is constructed by taking 50% operation impact discharge voltage as a mean value and standard deviation as a standard deviation for a typical air gap according to the correction test data and a discharge voltage calculation formula.
Where the standard deviation is the product of the relative standard deviation and the 50% operating surge discharge voltage.
The method is described in detail below with reference to specific examples;
example 1: based on the ball-plate gap operation impact test data, the 50% operation impact discharge voltage of the ball-wall/ground gap is calculated, and the method comprises the following test steps:
step one, analyzing the ball-wall/ground gap structure, the schematic structural diagram of which is shown in fig. 2, and dispersing it into two ball-plate gaps: ball-wall gaps, ball-ground gaps;
step two, correcting the impact test data of the ball-plate gap operation to be under the standard meteorological conditions:
a G parameter method recommended by GB/T16927.1-2011 is selected to correct the ball-plate gap operation impact test data to be under the standard meteorological condition, and the calculation formula is as follows:
U0＝U/Kt (1)
wherein U is0Is 50% of discharge voltage value under standard meteorological conditions, kV; u is 50% discharge voltage value under test condition, kV; ktThe atmospheric correction factor. Atmospheric correction coefficient KtCorrecting the factor k for air density1And air humidity correction factor k2The air density correction factor depends on the air density δ, expressed as:
Kt＝k1·k2＝δm·kω (2)
in the formula, m and omega are exponential factors. The air density δ is defined as:
wherein p is atmospheric pressure, kPa; p is a radical of0Is atmospheric pressure under standard meteorological conditions, 101.3 kPa; t is the air temperature, DEG C; t is t0Is the air temperature under standard meteorological conditions, 20 ℃. k depends on the type of test voltage, and its value is a function of the ratio h/δ of the absolute humidity h and the air density δ, and at an operating surge voltage, k is expressed as:
k＝1+0.01(h/δ-11) (4)
the calculation of the exponential factors m and omega needs to introduce a parameter g, and the expression of the parameter g is as follows:
wherein L is the gap distance. The exponential factors m and omega have specific functional relation with the parameter g, so the exponential factors m and omega can be obtained by solving the parameter g, and the atmospheric correction coefficient K can be obtainedt。
Step three, fitting a 50% discharge voltage calculation formula of the ball-plate gap under the standard meteorological condition:
under the same meteorological conditions, the ball-plate gap discharge voltage with the same diameter is mainly determined by the gap distance, and the ball-plate gap 50% discharge voltage U50 with the same ball diameter D and the ball-plate gap distance D can be considered as a functional relation form written as follows:
U50＝adb (6)
in the formula, a and b are unknown parameters, a least square method is adopted to convert the parameter searching problem into an optimization problem based on the data obtained in the first step, the best solution of the unknown parameters is obtained through a sequential quadratic programming algorithm, and the functional relation formulas of 50% discharge voltage of the ball-plate gap and the ball-plate gap distance d with the diameters of 1.5m and 2m are respectively obtained as shown in the formulas (7) and (8):
U50＝1579.1d0.168 (7)
U50＝1679.4d0.245 (8)
equation (6) can be written as:
the formula (9) is a calculation formula of 50% discharge voltage of the two-diameter sphere-plate gap under the standard meteorological conditions obtained by fitting, and the calculation formula relates to the sphere diameter and the gap distance.
Step four, expressing the flashover probability of the ball-plate gap at a certain loading voltage under standard weather conditions:
by referring to the corrected ball-plate test data and the calculation formula obtained in the third step, the ball-plate gap 50% operation impact discharge voltage with different ball diameters and different gap distances in a certain range (within the range covered by the test data) under the standard weather can be obtained;
for the discrete i-th ball-plate gap, the mean value μ is the 50% discharge voltage U50iStandard deviation is standard deviation σiAnd constructing a normal distribution as a probability distribution model of the discharge voltage. Wherein the standard deviation is obtained by multiplying the relative standard deviation by 50% discharge voltage, and the relative standard deviation is 6%. The discharge voltage probability density function for that gap:
at a certain loading voltage U0The gap flashover probability:
step five, the total flashover probability of the discrete ball-plate gap:
discretizing the ball-wall/ground gap into two ball-plate gaps, eachWhether the ball-plate gap is discharged or not follows 0-1 distribution, and if the two discrete ball-plate gaps are independent of each other, whether the two ball-plate gaps are discharged or not follows a generalized binomial distribution, and the probability of discharging at least one ball-plate gap (namely the total flashover probability of the discrete ball-plate gaps) is as follows:
under the loading of the ball-wall/ground gap 50% of the operation impulse discharge voltage, the flashover probability of the ball-wall/ground gap is 50%, namely the probability of discharging at least one discrete ball-plate gap is 50%, then:
step six, solving the 50% operation impact discharge voltage of the ball-wall/ground clearance:
setting the 50% discharge voltage of the ball-wall/ground gap as U0A united type (11) and formula (12):
equation (13) is a complex equation that is difficult to solve accurately, and its approximate solution can be found by using the dichotomy. Liberated U0I.e. the 50% operating impulse discharge voltage of the ball-wall/ground gap under standard meteorological conditions. And correcting the result to different meteorological conditions by the inverse application of the g parameter method in the step one, and achieving the purpose of obtaining the 50% operation impact discharge voltage of the corresponding ball-wall/ground clearance under different meteorological conditions through the meteorological conditions and the discrete ball-plate clearance information.
The calculation method assumes that the discrete gap discharges are independent of each other, but in practice the assumption has not been proved that the discharge processes of the gaps actually affect each other, and the calculation method does not take into account their coupling relationship and can only be used to estimate the 50% operating surge discharge voltage of a complex gap. The 11 groups of ball-wall/ground clearance 50% operation impact discharge voltage values calculated by the method are compared with the test values, the maximum relative error of the calculated values is only 3.9%, the average absolute percentage error is 2.1%, and the calculated values are within the engineering allowable error range, so that the effectiveness of the calculation method is verified. FIG. 3 is a comparison of calculated values of ball-wall/ground gap 50% discharge voltage with experimental values for different ball diameters and different gap distances, wherein FIG. 3(a) shows a ball diameter of 1.5 m; FIG. 3(b) shows a ball diameter of 2 m.
Example 2: calculating ball-corner/ground clearance 50% operating impact discharge voltage based on ball-plate clearance operating impact test data:
step one, analyzing a ball-corner/ground clearance structure, wherein the structural schematic diagram is shown in fig. 4, and dispersing the ball-corner/ground clearance structure into three ball-plate clearances: two ball-wall gaps, ball-ground gaps.
The second, third and fourth steps are the same as the first step.
Step five, the total flashover probability of the discrete ball-plate gap:
the ball-corner/ground gap is dispersed into three ball-plate gaps, whether each ball-plate gap discharges or not is distributed from 0 to 1, and if the three discrete ball-plate gaps are mutually independent, whether the three ball-plate gaps discharge or not follows a generalized binomial distribution, and the probability of discharging at least one ball-plate gap (namely the total flashover probability of the discrete ball-plate gaps) is as follows:
under the loading of 50% discharge voltage of the ball-corner/ground gap, the flashover probability of the ball-corner/ground gap is 50%, that is, the probability of discharge of at least one discrete ball-plate gap is 50%, then:
step six, solving the discharge voltage of 50% of the ball-wall corner/ground clearance:
setting the 50% discharge voltage of the ball-corner/ground gap as U0Combined vertical type (11) and formula (1)4)：
Equation (15) is a complex equation difficult to solve accurately, and its approximate solution can be found by the dichotomy. Liberated U0I.e. the 50% operating surge voltage of the ball-corner/ground gap under standard meteorological conditions. And correcting the result to different meteorological conditions by the inverse application of the g parameter method in the step one, so as to achieve the purpose of obtaining the 50% operation impact discharge voltage of the corresponding ball-corner/ground clearance under different meteorological conditions through the meteorological conditions and the discrete ball-plate clearance information.
The 50% operating impulse and discharge voltage of different diameter ball-wall corner/ground (ball diameter 1.5m and ball diameter 2m) under 11 sets of standard meteorological conditions were calculated using the above method, wherein the ball-to-two wall and ball-to-ground gap distances were equal, and the calculation results are shown in the following table:
TABLE 1 calculation of ball-corner/ground 50% operating impact and discharge voltages
The present invention also proposes a system 200 for determining the operating surge discharge voltage of a complex gap structure, as shown in fig. 5, comprising:
the arrangement scheme unit 201 is used for determining the gap structure of the grounding body around the high potential of the engineering equipment according to the arrangement scheme of the engineering equipment with the complex gap structure, and dispersing the gap structure into a plurality of typical gap structures;
the test data correcting unit 202 is used for performing a typical gap operation impact test on a typical gap structure to obtain test data, correcting the test data to a standard meteorological condition and obtaining corrected test data;
the fitting unit 203 is used for fitting the typical gap structure and determining a 50% operation impulse discharge voltage calculation formula under standard weather;
a normal distribution model determining unit 204, which determines a normal distribution model of 50% operation impulse discharge voltage under standard weather according to the correction test data and a 50% operation impulse discharge voltage calculation formula under standard weather;
the gap flashover probability formula determining unit 205 determines a discharge voltage probability density function and a gap flashover probability formula of a typical air gap in a complex gap structure according to a normal distribution model;
a binomial distribution model determining unit 206, which determines a typical gap discharge binomial distribution model according to the discharge voltage probability density function and the gap flashover probability formula;
the discharge voltage determination unit 207 for 50% operation impact determines the 50% operation impact discharge voltage of the complex gap structure according to the typical gap discharge binomial distribution model and the gap flashover probability formula.
Wherein the gap discharges of a typical gap structure obey a 0-1 distribution.
Wherein the test data were corrected by the g-parameter method.
And the normal distribution model is constructed by taking 50% operation impact discharge voltage as a mean value and standard deviation as a standard deviation for a typical air gap according to the correction test data and a discharge voltage calculation formula.
Where the standard deviation is the product of the relative standard deviation and the 50% operating surge discharge voltage.
The invention discloses a method for determining the operation impact discharge voltage of a complex air gap structure, which realizes the calculation of the 50% operation impact discharge voltage of the complex air gap structure.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein. The scheme in the embodiment of the application can be implemented by adopting various computer languages, such as object-oriented programming language Java and transliterated scripting language JavaScript.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, 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 to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
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 instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While the preferred embodiments of the present application have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all alterations and modifications as fall within the scope of the application.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present application without departing from the spirit and scope of the application. Thus, if such modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is also intended to encompass such modifications and variations.
Claims (10)
1. A method of determining a complex gap structure operating surge discharge voltage, the method comprising:
determining a gap structure of a grounding body around the high potential of the engineering equipment according to the arrangement scheme of the engineering equipment with the complex gap structure, and dispersing the gap structure into a plurality of typical gap structures;
aiming at the typical gap structure, performing a typical gap operation impact test to obtain test data, correcting the test data to a standard meteorological condition, and obtaining corrected test data;
fitting the typical gap structure, and determining a 50% operation impulse discharge voltage calculation formula under standard weather;
determining a normal distribution model of 50% operation impact discharge voltage under standard weather according to the correction test data and a 50% operation impact discharge voltage calculation formula under the standard weather;
determining a discharge voltage probability density function and a gap flashover probability formula of a typical air gap in a complex gap structure according to a normal distribution model;
determining a typical gap discharge binomial distribution model according to a discharge voltage probability density function and a gap flashover probability formula;
and determining the discharge voltage of 50% operation impact of the complex gap structure according to a typical gap discharge binomial distribution model and a gap flashover probability formula.
2. The method of claim 1, the gap discharges of the typical gap structure obey a 0-1 distribution.
3. The method of claim 1, wherein the test data is corrected by the g-parameter method.
4. The method of claim 1, wherein the normal distribution model is constructed with a mean of 50% operating surge voltage and a standard deviation of standard deviation for a typical air gap according to calibration test data and a discharge voltage calculation formula.
5. The method of claim 4, the standard deviation being a product of a relative standard deviation and a 50% operating surge discharge voltage.
6. A system for determining a complex gap structure operating surge discharge voltage, the system comprising:
the arrangement scheme unit is used for determining the gap structure of the grounding body around the high potential of the engineering equipment according to the arrangement scheme of the engineering equipment with the complex gap structure and dispersing the gap structure into a plurality of typical gap structures;
the test data correcting unit is used for performing a typical gap operation impact test on a typical gap structure to obtain test data, correcting the test data to standard meteorological conditions and obtaining corrected test data;
the fitting unit is used for fitting the typical gap structure and determining a 50% operation impulse discharge voltage calculation formula under standard weather;
the normal distribution model determining unit is used for determining a normal distribution model of 50% operation impact discharge voltage under standard weather according to the correction test data and a 50% operation impact discharge voltage calculation formula under the standard weather;
the gap flashover probability formula determining unit is used for determining a discharge voltage probability density function and a gap flashover probability formula of a typical air gap in a complex gap structure according to a normal distribution model;
the binomial distribution model determining unit is used for determining a typical gap discharge binomial distribution model according to the discharge voltage probability density function and the gap flashover probability formula;
and a 50% operation impulse discharge voltage determining unit determines 50% operation impulse discharge voltage of the complex gap structure according to a typical gap discharge binomial distribution model and a gap flashover probability formula.
7. The system of claim 6, the gap discharges of the exemplary gap structure obey a 0-1 distribution.
8. The system of claim 6, wherein the test data is corrected by the g-parameter method.
9. The method of claim 6, wherein the normal distribution model is constructed with a mean of 50% operating surge voltage and a standard deviation of standard deviation for a typical air gap according to calibration test data and a discharge voltage calculation formula.
10. The system of claim 9, the standard deviation being a product of a relative standard deviation and a 50% operating surge discharge voltage.
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| CN114325278A (en) * | 2022-03-16 | 2022-04-12 | 广东电网有限责任公司东莞供电局 | Air gap tolerance voltage measuring and calculating method and device, computer equipment and medium |
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