CN110361614B - Method for fitting space electric field amplitude-frequency distribution of airport omnidirectional beacon - Google Patents
Method for fitting space electric field amplitude-frequency distribution of airport omnidirectional beacon Download PDFInfo
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- CN110361614B CN110361614B CN201910643647.9A CN201910643647A CN110361614B CN 110361614 B CN110361614 B CN 110361614B CN 201910643647 A CN201910643647 A CN 201910643647A CN 110361614 B CN110361614 B CN 110361614B
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- 230000005684 electric field Effects 0.000 title claims abstract description 60
- 238000000034 method Methods 0.000 title claims abstract description 17
- 238000012360 testing method Methods 0.000 claims abstract description 58
- 238000010891 electric arc Methods 0.000 claims abstract description 22
- 238000005191 phase separation Methods 0.000 claims description 11
- 238000012545 processing Methods 0.000 claims description 4
- 238000004364 calculation method Methods 0.000 claims description 3
- 238000011065 in-situ storage Methods 0.000 claims description 3
- 238000012417 linear regression Methods 0.000 claims description 3
- 238000004458 analytical method Methods 0.000 description 4
- 238000010586 diagram Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R29/00—Arrangements for measuring or indicating electric quantities not covered by groups G01R19/00 - G01R27/00
- G01R29/08—Measuring electromagnetic field characteristics
- G01R29/0807—Measuring electromagnetic field characteristics characterised by the application
- G01R29/0814—Field measurements related to measuring influence on or from apparatus, components or humans, e.g. in ESD, EMI, EMC, EMP testing, measuring radiation leakage; detecting presence of micro- or radiowave emitters; dosimetry; testing shielding; measurements related to lightning
- G01R29/0857—Dosimetry, i.e. measuring the time integral of radiation intensity; Level warning devices for personal safety use
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/001—Measuring interference from external sources to, or emission from, the device under test, e.g. EMC, EMI, EMP or ESD testing
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Abstract
The invention provides a fitting method of space electric field amplitude-frequency distribution of an airport omnidirectional beacon, which fits a space electric field amplitude-frequency characteristic curve of an electric arc in a range of 108MHz to 117.975MHz of an omnidirectional beacon frequency band by using field test data and a mathematical statistic method, and can effectively reflect the relation between an off-line electric arc space electric field and frequency of a bow net of a modern electrified railway. And drawing a fitting curve of the space electric field amplitude and the frequency in the airport omnidirectional beacon frequency band. The problem of interference between the amplitude and the frequency of a space electric field caused by the electrified railway pantograph-catenary offline electric arc can be solved according to the fitting curve graph.
Description
The technical field is as follows:
the invention relates to the technical field of electromagnetic field test analysis.
Background art:
as the outward electric field emission of the pantograph-catenary offline electric arcs of the modern electrified railway high-speed train is different on different frequencies, the problem of the relation between the electric field emission amplitude and the frequency of the pantograph-catenary offline electric arc space is solved, the emission quantity of the pantograph-catenary offline electric arc space electric fields on different frequencies can be predicted, and the important influence on the airport omnidirectional beacon caused by the analyzed emission quantity is achieved. The electromagnetic interference test of the electrified railway in China is carried out in the Yangan line urban airport in 1979, and is hereinafter referred to as the Yangan test. In recent years, for the research on the fitting curve of the high-ferroelectromagnetic interference amplitude value-frequency, the result of a ' yang ' ampere test ' is mostly cited directly: a ballast track is adopted; 80km/h freight marshalling; testing the space electric field generated by off-line electric arc of the pantograph in a common section on the contact network; data acquisition instruments are not accurate enough; the test data processing adopts a rate of not exceeding 80 percent; analyzing the frequency bandwidth; has no pertinence. None of these have met the electromagnetic compatibility requirements of modern electrified high speed railways. The Chinese patent publication No. CN 106324404A provides a system and an analysis method for testing electromagnetic interference of an electrified railway to an oil-gas pipeline along a line, and the patent mentions how to analyze the electromagnetic interference of an electrified railway pantograph-catenary offline arc to the outside, but the test data is still limited to the interference current and voltage of the electrified railway and does not relate to space electric field interference.
The invention content is as follows:
the invention aims to provide a method for fitting the space electric field amplitude-frequency distribution of an airport omnidirectional beacon, which can effectively solve the problem of interference of an electrified railway pantograph-catenary offline electric arc on the space electric field amplitude and frequency.
The purpose of the invention is realized by the following technical scheme:
a method for fitting the amplitude-frequency distribution of an electric field in space of an airport omnidirectional beacon comprises the following steps: firstly, when an electrified high-speed train passes through an airport, the method for testing the space electric field quantity in the omnidirectional beacon frequency band specifically operates as follows:
A. background testing of space electric fields
When no train passes through, testing the electric field value of the space around the airport along the electrified high-speed railway, and recording data;
B. in-situ testing of space electric fields
When a train passes by, testing the electric field value of the space around the airport along the electrified high-speed railway, and recording data;
C. electric phase separation test
When a train passes by, testing the value of the space electric field at the electric phase separation position of the electrified high-speed railway and recording data; the train is necessarily subjected to arc discharge when passing through the electric phase separation, so that the data obtained by the test at the moment is the bow net off-line electric arc space electric field data;
secondly, analyzing and fitting the test data obtained by the test, and drawing a fitting curve, wherein the specific operation steps are as follows:
A. extracting data
Selecting quasi peak data recorded in the testing process, and extracting the maximum value in the quasi peak data;
B. parameter calculation
Processing the frequency f of the collected test data and the space electric field test value E by adopting a linear fitting method, wherein the fitting formula is as follows:
E=klg f+b (1)
in the formula: f is frequency, E is electric field intensity, k is regression coefficient, and b is intercept;
and (3) solving the sum of squared residuals R:
in the formula: n is the total number of tests, fiFor the test frequency set at the i-th test, EiThe electric field value measured for the ith time is shown. Partial derivatives are respectively calculated for the parameter k and the parameter b, and an equation set is established in parallel, and the variables k and b are solved, so that the following formula can be obtained:
substituting (3) for the formula (1) to obtain lgf and E linear regression equation parameters;
C. drawing a curve
And (2) drawing a fitting curve of the relation between the amplitude value and the frequency of the pantograph-catenary offline electric arc space electric field in the omnidirectional beacon frequency band of the airport according to the formula (1), and obtaining the electric field amplitude-frequency distribution characteristic of the electrified high-speed railway pantograph-catenary offline electromagnetic interference in the omnidirectional beacon frequency band around the airport through the fitting curve of the relation between the amplitude value and the frequency of the pantograph-catenary offline electric arc space electric field.
The omnidirectional beacon frequency range is 108MHz to 117.975 MHz.
Compared with the prior art, the invention has the beneficial technical effects that:
aiming at the airport omnidirectional beacon frequency band, the analysis frequency band is selected from 108MHz to 117.975MHz, the frequency band is narrow, and the analysis is more accurate; the space electric field around the airport along the electrified high-speed railway is selected for testing, and the tested object has higher pertinence; and drawing a fitting curve of the space electric field amplitude-frequency of the electrified railway pantograph-catenary offline electric arc at the electric phase separation position and the space electric field position. After the electric field value of the bow net off-line electric arc space of a modern electrified railway with a single frequency point is measured, whether the bow net off-line electric arc space electric field interferes with the airport omnidirectional beacon or not in the whole omnidirectional beacon frequency band can be calculated according to the curve.
Description of the drawings:
FIG. 1 is a schematic flow chart of the present invention
FIG. 2 is a fitting curve diagram of the electrical phase separation point test of the present invention
FIG. 3 is a fitting curve diagram of the space electric field test of the present invention
The specific implementation mode is as follows:
the present invention will be described in further detail with reference to the following detailed description and accompanying drawings.
The flow of drawing a fitting curve of the invention is shown in fig. 1, and the specific operation steps are as follows:
A. background testing of space electric fields
When no train passes through, testing the electric field value of the space around the airport along the electrified high-speed railway, and recording data;
B. in-situ testing of space electric fields
When a train passes by, testing the electric field value of the space around the airport along the electrified high-speed railway, and recording data;
C. electric phase separation test
When a train passes by, testing the value of the space electric field at the electric phase separation position of the electrified high-speed railway and recording data; the train is necessarily subjected to arc discharge when passing through the electric phase separation, so that the data obtained by the test at the moment is the bow net off-line electric arc space electric field data;
secondly, analyzing and fitting the test data obtained by the test, and drawing a fitting curve, wherein the specific operation steps are as follows:
A. extracting data
Selecting quasi peak data recorded in the testing process, and extracting the maximum value in the quasi peak data;
B. parameter calculation
Processing the frequency f of the collected test data and the space electric field test value E by adopting a linear fitting method, wherein the fitting formula is as follows:
E=klg f+b (1)
in the formula: f is frequency, E is electric field intensity, k is regression coefficient, and b is intercept;
and (3) solving the sum of squared residuals R:
in the formula: n is the total number of tests, fiAt the time of the ith testSet test frequency, EiThe electric field value measured for the ith time is shown. Partial derivatives are respectively calculated for the parameter k and the parameter b, and an equation set is established in parallel, and the variables k and b are solved, so that the following formula can be obtained:
substituting (3) for the formula (1) to obtain lgf and E linear regression equation parameters;
C. drawing a curve
And (2) drawing a fitting curve of the relation between the amplitude value and the frequency of the pantograph-catenary offline electric arc space electric field in the omnidirectional beacon frequency band of the airport according to the formula (1), and obtaining the electric field amplitude-frequency distribution characteristic of the electrified high-speed railway pantograph-catenary offline electromagnetic interference in the omnidirectional beacon frequency band around the airport through the fitting curve of the relation between the amplitude value and the frequency of the pantograph-catenary offline electric arc space electric field.
The omnidirectional beacon frequency range is 108MHz to 117.975 MHz.
It should be understood, however, that the description herein of specific embodiments is not intended to limit the invention to the particular forms disclosed, but on the contrary, the intention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the invention as defined by the appended claims.
Claims (2)
1. A method for fitting the amplitude-frequency distribution of an electric field in space of an airport omnidirectional beacon comprises the following steps: firstly, when an electrified high-speed train passes through an airport, the method for testing the space electric field quantity in the omnidirectional beacon frequency band specifically operates as follows:
A. background testing of space electric fields
When no train passes through, testing the electric field value of the space around the airport along the electrified high-speed railway, and recording data;
B. in-situ testing of space electric fields
When a train passes by, testing the electric field value of the space around the airport along the electrified high-speed railway, and recording data;
C. electric phase separation test
When a train passes by, testing the value of the space electric field at the electric phase separation position of the electrified high-speed railway and recording data; the train is necessarily subjected to arc discharge when passing through the electric phase separation, so that the data obtained by the test at the moment is the bow net off-line electric arc space electric field data;
secondly, analyzing and fitting the test data obtained by the test, and drawing a fitting curve, wherein the specific operation steps are as follows:
A. collecting data
Selecting quasi peak data recorded in the testing process, and extracting the maximum value in the quasi peak data;
B. parameter calculation
Processing the frequency f of the collected test data and the space electric field test value E by adopting a linear fitting method, wherein the fitting formula is as follows:
E=klgf+b (1)
in the formula: f is frequency, E is electric field intensity, k is regression coefficient, and b is intercept;
and (3) solving the sum of squared residuals R:
in the formula: n is the total number of tests, fiFor the test frequency set at the i-th test, EiFor the electric field value tested in the ith time, respectively solving a partial derivative of the parameter k and the parameter b and establishing an equation system in parallel, and solving the variables k and b to obtain the following formula:
substituting (3) for the formula (1) to obtain lgf and E linear regression equation parameters;
C. drawing a curve
And (2) drawing a fitting curve of the relation between the amplitude value and the frequency of the pantograph-catenary offline electric arc space electric field in the omnidirectional beacon frequency band of the airport according to the formula (1), and obtaining the electric field amplitude-frequency distribution characteristic of the electrified high-speed railway pantograph-catenary offline electromagnetic interference in the omnidirectional beacon frequency band around the airport through the fitting curve of the relation between the amplitude value and the frequency of the pantograph-catenary offline electric arc space electric field.
2. The method according to claim 1, wherein the method comprises the following steps: the omnidirectional beacon frequency range is 108MHz to 117.975 MHz.
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