CN113219308B - 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 the 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 engineering equipment with complex gap structures, the gap structures are scattered into a plurality of typical gap structures; performing 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 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 the normal distribution model; determining a discharge binomial distribution model according to the density function and the gap flashover probability formula; and determining 50% of operation impulse discharge voltage of the complex gap structure according to the binomial distribution model and the gap flashover probability formula. The invention obviously improves the convenience of 50% operation impulse discharge voltage calculation of the complex gap structure.
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 an operating impulse discharge voltage of a complex gap structure.
Background
The current situation that the energy distribution and the economic development of China are very unbalanced leads to the need of developing ultra-high voltage transmission engineering in China, and the western-hidden electric power resources are transmitted to the eastern area with 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 brings great challenges to the insulation configuration of the ultra-high voltage transmission project. The air gap is a 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 an important basis for 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 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 a key problem for optimizing the external insulation design. At present, the discharge voltage of the air gap at home and abroad is mainly obtained through a test method, the test cost is high, the period is long, and the test research on a complex gap structure is relatively less aiming at a typical gap, so that the research on the numerical simulation and calculation of the discharge voltage of the complex gap structure is very limited. Therefore, it is necessary to provide a reliable and easy-to-operate discharge voltage calculation method with a complex gap structure, which provides guidance for external insulation configuration in practical extra-high voltage transmission engineering.
Disclosure of Invention
The invention aims to provide a calculation method of 50% discharge voltage of a complex gap structure, which can replace partial discharge test and is simple and easy to popularize, aiming at discharge data of typical gaps by dispersing the complex gap structure into a mode of a plurality of typical gaps, and provides a method for determining the operation impulse discharge voltage of the complex gap structure, which comprises the following steps:
according to the arrangement scheme of engineering equipment with a complex gap structure, determining the gap structure of a grounding body around the high potential of the engineering equipment, and dispersing the gap structure into a plurality of typical gap structures;
aiming at a typical clearance structure, performing a typical clearance operation impact test, acquiring test data, correcting the test data to standard meteorological conditions, and acquiring 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% of operation impulse discharge voltage under the standard weather according to the correction test data and a calculation formula of the 50% of operation impulse discharge voltage 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.
Alternatively, the gap discharge of a typical gap structure follows a 0-1 distribution.
Alternatively, the test data are corrected by the g-parameter method.
Optionally, the normal distribution model is constructed by taking 50% of operation impulse discharge voltage as a mean value and standard deviation as a standard deviation for a typical air gap according to correction test data and a discharge voltage calculation formula.
Alternatively, the standard deviation is the product of the relative standard deviation and the 50% operating impulse discharge voltage.
The invention also proposes a system for determining an operating impulse 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 correction test data 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 correction 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 impulse discharge voltage under the standard weather according to the correction test data and a calculation formula of the 50% operation impulse discharge voltage 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 the complex gap structure according to the normal distribution model;
the binomial distribution model determining unit determines a typical gap discharge binomial distribution model according to the discharge voltage probability density function and the gap flashover probability formula;
and the 50% operation impulse discharge voltage determining unit is used for determining the 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 discharge of a typical gap structure follows a 0-1 distribution.
Alternatively, the test data are corrected by the g-parameter method.
Optionally, the normal distribution model is constructed by taking 50% of operation impulse discharge voltage as a mean value and standard deviation as a standard deviation for a typical air gap according to correction test data and a discharge voltage calculation formula.
Alternatively, the standard deviation is the product of the relative standard deviation and the 50% operating impulse discharge voltage.
The invention realizes the calculation of 50% operation impulse discharge voltage of the complex air gap structure, and compared with simulation calculation methods such as physical modeling, the invention remarkably improves the convenience of 50% operation impulse discharge voltage calculation of the complex air gap structure.
Drawings
FIG. 1 is a flow chart of a method for determining an operational impulse discharge voltage for a complex gap structure in accordance with the present invention;
FIG. 2 is a schematic view showing a ball-wall/ground gap structure in example 1 of the present invention;
FIG. 3 is a graph comparing 50% operational impulse discharge voltage values calculated for different diameter ball-wall/ground clearances according to the present invention with test values;
FIG. 4 is a schematic view showing the structure of the ball-corner/ground gap in example 2 of the present invention;
fig. 5 is a block diagram of a system for determining an operational surge discharge voltage for 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 present invention may be embodied in many different forms and is not limited to the examples described herein, which are provided to fully and completely disclose the present invention and 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, like elements/components are referred to by like reference numerals.
Unless otherwise indicated, terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art. In addition, it will be understood that terms 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, which is shown in fig. 1 and comprises the following steps:
according to the arrangement scheme of engineering equipment with a complex gap structure, determining the gap structure of a grounding body around the high potential of the engineering equipment, and dispersing the gap structure into a plurality of typical gap structures;
aiming at a typical clearance structure, performing a typical clearance operation impact test, acquiring test data, correcting the test data to standard meteorological conditions, and acquiring 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 impulse discharge voltage under standard weather according to the correction test data and a calculation formula of the 50% operation impulse 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 50% of 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 discharge of a typical gap structure obeys a 0-1 distribution.
Wherein, the test data is corrected by the g-parameter method.
And the normal distribution model is constructed by taking the 50% operation impulse discharge voltage as the mean value and the standard deviation as the standard deviation of a typical air gap according to correction test data and a discharge voltage calculation formula.
Wherein the standard deviation is the product of the relative standard deviation and the 50% operating impulse discharge voltage.
The method is described in detail below in connection with specific examples;
example 1: the ball-wall/ground gap 50% operating impact discharge voltage was calculated based on the ball-plate gap operating impact test data, with the following test steps:
step one, analyzing the ball-wall/ground gap structure, the structure of which is schematically shown in fig. 2, and dispersing it into two ball-plate gaps: ball-wall gap, ball-ground gap;
correcting the ball-plate clearance operation impact test data to a standard meteorological condition:
the g parameter method recommended by GB/T16927.1-2011 is selected to correct the ball-plate gap operation impact test data to the standard meteorological conditions, and the calculation formula is as follows:
U 0 =U/K t (1)
wherein U is 0 50% discharge voltage value under standard meteorological conditions, kV; u is 50% discharge voltage value under test condition, kV; k (K) t Is an atmospheric correction coefficient. Atmospheric correction coefficient K t Correction factor k for air density 1 And an air humidity correction factor k 2 The air density correction factor depends on the air density δ expressed as:
K t =k 1 ·k 2 =δ m ·k ω (2)
wherein m and ω are exponential factors. The air density δ is defined as:
wherein p is atmospheric pressure, kPa; p is p 0 Atmospheric pressure under standard meteorological conditions, 101.3kPa; t is the air temperature, DEG C; t is t 0 The air temperature under standard weather conditions was 20 ℃. k is dependent onThe type of test voltage, whose value is a function of the ratio h/delta of the absolute humidity h and the air density delta, is expressed as k at the operating impact voltage:
k=1+0.01(h/δ-11) (4)
the calculation of the exponential factors m and omega requires the introduction of a parameter g, the expression of which is as follows:
wherein L is the gap distance. Since the exponential factors m and ω have a specific functional relationship with the parameter g, the exponential factors m and ω can be obtained by obtaining the parameter g, thereby obtaining the atmospheric correction coefficient K t 。
Fitting a 50% discharge voltage calculation formula of the ball-plate gap under standard meteorological conditions:
under the same meteorological conditions, the discharge voltage of the ball-plate gap with the same diameter mainly depends on the gap distance, and then the function of the 50% discharge voltage U50 of the ball-plate gap with the same ball diameter D and the ball-plate gap distance D can be considered as:
U50=ad b (6)
wherein a and b are unknown parameters, based on the data obtained in the first step, the parameter searching problem is converted into an optimization problem by adopting a least square method, and then the optimal solution of the unknown parameters is obtained by a sequence quadratic programming algorithm, and the functional relation between the discharge voltage of 50% of the ball-plate gap with the diameters of 1.5m and 2m and the ball-plate gap distance d is respectively shown as formulas (7) and (8):
U50=1579.1d 0.168 (7)
U50=1679.4d 0.245 (8)
then equation (6) can be written as:
the formula (9) is a calculation formula of 50% discharge voltage of the ball-plate gap with two diameters relative to the ball diameter and the gap distance under the standard meteorological conditions obtained by fitting.
Step four, a flashover probability expression of a ball-plate clearance under standard weather at a certain loading voltage is shown as follows:
the corrected ball-plate test data and the calculation formula obtained in the step three are referenced, and 50% of operation impulse discharge voltage of ball-plate gaps with different ball diameters and different gap distances in a certain range (within the coverage range of the test data) under standard weather can be obtained;
for the discrete ith ball-plate gap, taking the 50% discharge voltage U50 as the average value mu i Standard deviation is standard deviation sigma i A normal distribution is constructed as a probability distribution model of the discharge voltage thereof. The standard deviation is obtained by multiplying the relative standard deviation by 50% of discharge voltage, and the relative standard deviation is 6%. The probability density function of the discharge voltage of the gap:
at a certain loading voltage U 0 The gap flashover probability is as follows:
step five, discrete ball-plate gap total flashover probability:
the ball-wall/ground gap is discretized into two ball-plate gaps, each ball-plate gap discharging obeys a 0-1 distribution, assuming that the two discrete ball-plate gaps are independent of each other, whether the two ball-plate gaps discharging obeys a generalized binomial distribution, and the probability of at least one ball-plate gap discharging (i.e., the total flashover probability of the discrete ball-plate gaps) is:
and under 50% of the operating impulse discharge voltage loading of the ball-wall/ground gap, the probability of a ball-wall/ground gap flashover is 50%, i.e., the probability of at least one discrete ball-plate gap discharge is 50%, then there are:
step six, solving the 50% operation impulse discharge voltage of the ball-wall/ground gap:
let 50% discharge voltage of ball-wall/ground gap be U 0 Combined formula (11) and formula (12):
equation (13) is a complex equation that is difficult to solve accurately, and its approximate solution can be found using a dichotomy. Solved U 0 I.e., 50% of the operating impulse discharge voltage for the ball-wall/ground gap under standard weather 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 that 50% of operation impulse discharge voltage of the corresponding ball-wall/ground gap under different meteorological conditions can be obtained by the meteorological conditions and discrete ball-plate gap information.
The calculation method assumes that the discrete gap discharges are independent of each other, but in practice the assumption has not been demonstrated that the discharge processes of these gaps are in effect mutually influencing, and the calculation method does not take into account their coupling relationships and can only be used to estimate the 50% operating impulse discharge voltage of a complex gap. Comparing the calculated 50% operation impulse discharge voltage value of the ball-wall/ground gap of 11 groups with the above method with the test value, wherein the maximum relative error of the calculated value is only 3.9%, and the average absolute percentage error is 2.1%, which are all within the allowable engineering error range, and verifying the effectiveness of the calculation method. FIG. 3 is a comparison of calculated 50% discharge voltage for ball-wall/ground gap with different ball diameters and different gap distances with test values, wherein the diameter of the equalizing ball in FIG. 3 (a) is 1.5m; FIG. 3 (b) shows a diameter of 2m for the pressure equalizing ball.
Example 2: the ball-corner/ground gap 50% operating impulse discharge voltage was calculated based on the ball-panel gap operating impulse test data:
step one, analyzing the ball-corner/ground gap structure, the structure of which is schematically shown in fig. 4, and dispersing it into three ball-plate gaps: two ball-wall gaps, a ball-ground gap.
And step two, three and four, which are the same as in the first example.
Step five, total flashover probability with discrete ball-plate gap:
the ball-wall/ground gap is discretized into three ball-plate gaps, each ball-plate gap discharging obeys a 0-1 distribution, assuming that the three discrete ball-plate gaps are independent of each other, the three ball-plate gaps discharging obeys a generalized binomial distribution, and the probability of at least one ball-plate gap discharging (i.e., the total flashover probability of the discrete ball-plate gaps) is:
and under a 50% discharge voltage loading of the ball-corner/ground gap, the probability of a ball-corner/ground gap flashover is 50%, i.e., the probability of at least one discrete ball-panel gap discharge is 50%, then:
step six, solving the 50% discharge voltage of the ball-corner/ground gap:
let 50% discharge voltage of ball-corner/ground gap be U 0 Combined formula (11) and formula (14):
equation (15) is a complex equation that is difficult to solve accurately, and its approximate solution can be found using a dichotomy. Solved U 0 I.e. 50% of the operating impulse discharge voltage for the ball-corner/ground gap under standard meteorological conditions. The result can be corrected to different meteorological conditions by the inverse application of the g parameter method in the first step, so that the method can realize the passing of meteorological conditions and discrete weather conditionsThe ball-plate gap information can obtain the purpose of 50% of operation impact discharge voltage of the corresponding ball-corner/ground gap under different meteorological conditions.
The 50% operating punch and discharge voltages for the different diameter ball-corner/ground (ball diameter 1.5m and ball diameter 2 m) under 11 sets of standard weather conditions were calculated using the method described above, wherein the ball-to-wall and ball-to-ground gap distances were equal, and the calculation results are shown in the following table:
TABLE 1 ball-corner/ground 50% operating punch and discharge voltage calculation results
The present invention also proposes a system 200 for determining an operating impulse discharge voltage of a complex gap structure, as shown in fig. 5, comprising:
an arrangement scheme unit 201, which determines a gap structure of a grounding body around a high potential of engineering equipment according to an arrangement scheme of the engineering equipment with a complex gap structure, and disperses the gap structure into a plurality of typical gap structures;
a correction test data unit 202 for performing a typical gap operation impact test for a typical gap structure, acquiring test data, correcting the test data to a standard meteorological condition, and acquiring correction 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 that determines a normal distribution model of 50% operation impulse discharge voltage under standard weather according to the correction test data and the calculation formula of 50% operation impulse discharge voltage 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 the complex gap structure according to the normal distribution model;
a binomial distribution model determining unit 206 for determining 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 of 50% operation impulse determines a complex gap structure 50% operation impulse discharge voltage according to a typical gap discharge binomial distribution model and a gap flashover probability formula.
Wherein the gap discharge of a typical gap structure obeys a 0-1 distribution.
Wherein, the test data is corrected by the g-parameter method.
And the normal distribution model is constructed by taking the 50% operation impulse discharge voltage as the mean value and the standard deviation as the standard deviation of a typical air gap according to correction test data and a discharge voltage calculation formula.
Wherein the standard deviation is the product of the relative standard deviation and the 50% operating impulse discharge voltage.
The invention discloses a method for determining the operation impulse discharge voltage of a complex air gap structure, which realizes the calculation of 50% of the operation impulse discharge voltage of the complex air gap structure.
It will be appreciated by those skilled in the art that 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 solutions in the embodiments of the present application may be implemented in various computer languages, for example, object-oriented programming language Java, and an transliterated scripting language JavaScript, etc.
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 flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations 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 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. It is therefore intended that the following claims be interpreted as including the preferred embodiments and all such alterations and modifications as fall within the scope of the application.
It will be apparent to those skilled in the art that various modifications and variations can be made in the present application without departing from the spirit or scope of the application. Thus, if such modifications and variations of the present application fall within the scope of the claims and the equivalents thereof, the present application is intended to cover such modifications and variations.
Claims (10)
1. A method of determining a complex gap structure operating impulse discharge voltage, the method comprising:
according to the arrangement scheme of engineering equipment with a complex gap structure, determining the gap structure of a grounding body around the high potential of the engineering equipment, and dispersing the gap structure into a plurality of typical gap structures;
aiming at a typical clearance structure, performing a typical clearance operation impact test, acquiring test data, correcting the test data to standard meteorological conditions, and acquiring 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 impulse discharge voltage under standard weather according to the correction test data and a calculation formula of the 50% operation impulse 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.
2. The method of claim 1, wherein the gap discharge of the typical gap structure follows a 0-1 distribution.
3. The method of claim 1, wherein the test data is corrected by g-parameter method.
4. The method of claim 1, wherein the normal distribution model is constructed by taking a 50% operation impulse discharge voltage as a mean value and a standard deviation as a standard deviation for a typical air gap according to correction 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 impulse discharge voltage.
6. A system for determining a complex gap structure operating impulse 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 correction test data 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 correction 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 impulse discharge voltage under the standard weather according to the correction test data and a calculation formula of the 50% operation impulse discharge voltage 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 the complex gap structure according to the normal distribution model;
the binomial distribution model determining unit determines a typical gap discharge binomial distribution model according to the discharge voltage probability density function and the gap flashover probability formula;
and the 50% operation impulse discharge voltage determining unit is used for determining the 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 discharge of the typical gap structure following a 0-1 distribution.
8. The system of claim 6, wherein the test data is corrected by g-parameter method.
9. The system of claim 6, wherein the normal distribution model is constructed with a standard deviation of standard deviation as a mean of 50% operation impulse discharge voltage for a typical air gap according to the calibration test data and the 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 impulse discharge voltage.
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