CN105606967B - A kind of direct current single conductor corona discharge audible noise analysis method - Google Patents
A kind of direct current single conductor corona discharge audible noise analysis method Download PDFInfo
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Abstract
A kind of direct current single conductor corona discharge audible noise analysis method, including step：A, measurement obtains the time domain waveform of audible noise caused by direct current single conductor corona discharge；B, by direct current single conductor corona discharge it is discrete be along wire random distribution multiple point sound sources；C, the sound source pulse interval and sound source pulse amplitude random sequence of point sound source are constructed；D, the random acoustic pressure pulse waveform of point sound source is constructed；E, audible noise caused by determining wire at the receiving point；F, the sound source pulse amplitude of point sound source is determined；G, direct current single conductor is calculated in audible noise caused by any point of space.Using the direct current single conductor corona discharge audible noise analysis method of the present invention, the intrinsic property of corona discharge audible noise can be utilized, realizes the accurate analysis for direct current single conductor corona discharge audible noise.
Description
Technical field
The present invention relates to power system signal treatment technology, especially relates to direct current transportation conductor corona discharge noise point
Analysis technology.
Background technology
Extra high voltage direct current transmission line is because of its advantage in terms of remote large-capacity power transmission, it has also become future electrical energy
Transmit the Main Means of development.After the conductive line surfaces field strength of transmission line of electricity exceedes bloom field strength, wire air nearby can be caused
Generation corona discharge, along with the development of corona discharge, space charge can cause a series of electromagnetic environmental effects caused by electric discharge,
Wherein electric discharge caused by audible noise be people can direct feeling arrive, with the gradual enhancing of people's environmental consciousness, people
To the attention rate of audible noise problem caused by transmission line of electricity corona discharge also more and more higher.Therefore researching DC transmission line of electricity
Characteristic and the audible noise Forecasting Methodology established, meet that the transmission line of electricity of environmental requirement is significant for construction.
It is still not clear in the prior art for the mechanism of production of audible noise, can also reflects that corona discharge can without proposition
Listen the analytical technology of noise intrinsic property.Research for transmission line of electricity audible noise both at home and abroad and prediction are mainly by long-term
Measurement actual track, test line segment or corona cage inside conductor obtain substantial amounts of audible noise experimental data, then pass through statistics
Analysis method draws the Empirical rules method for calculating sound pressure level.The early stage external prior art on this respect is relatively
It is more, BPA modes, Westinghouse modes, EDF modes etc. are proposed accordingly, and it is domestic using similar thinking, for spy
HVDC transmission line has summed up extra high voltage direct current transmission line audible noise empirical data by testing for a long time.Using can
The problem of empirical equation maximum for listening noise is the restricted application of formula, and empirical equation is mainly according to specific circuit knot
Test data under structure is fitted what is obtained, reflection be circuit audible noise acoustic pressure level characteristics, can not reflect that corona discharge can
The stochastic behaviour of noise in itself is listened, while existing audible noise measuring method is mainly using frequency domain test method, measurement
As a result what is reflected is the comprehensive effect of audible noise in a period of time, it is difficult to reflects the intrinsic of audible noise caused by corona discharge
Characteristic.
In fact, audible noise caused by corona discharge is substantially due to the phase interaction between space charge and air molecule
Caused by caused air vibration, the pulsed discharge of repeatability is usually associated with corona discharge process, near wire
Electronics and space ion are accelerated under the high field effect in constant direction, non-resilient with air molecule generation in moving process
Collision is by energy transfer to air molecule.Unexpected energy conversion can cause the vibration of air molecule near wire, therefore audible
Noise is made up of from time domain a series of acoustic pressure pulses, and the amplitude of acoustic pressure pulse and time interval have it is larger random
Property.
And the characteristic of corona discharge audible noise is obtained using waving map method, it is possible to achieve noise signal it is real-time
Collection and record, obtain corona discharge caused by sound pressure signal change with time rule, help to obtain corona discharge audible
The intrinsic property of noise.The computational methods of existing conductor corona electric discharge audible noise, the randomness of audible noise can not be embodied, together
When also DC corona discharge audible noise is not calculated and analyzed from the angle of time domain.
The content of the invention
In view of this, it is an object of the invention to overcome the problems of the prior art, there is provided one kind can based on corona discharge
Listen the time domain Stochastic Analysis Method of the single conductor corona discharge audible noise of noise time domain specification.This method is based on single conductor corona
The statistical property of audible noise pulse caused by electric discharge as, wire is regarded to the set of discrete multiple point of discharges, each point of discharge
Regard independent point sound source as, according to the random sequence of the sound source of construction, by the propagation model of point sound source, realize space any point
The calculating of noise, the noise of space any point are obtained by the linear superposition of noise caused by each point sound source, realize wire electricity
The analysis of corona audible noise.
In order to realize this purpose, the technical scheme that the present invention takes is as follows.
A kind of direct current single conductor corona discharge audible noise analysis method, including step：
A, measurement obtains the time domain waveform of audible noise caused by direct current single conductor corona discharge, and extraction measurement point is audible
The time interval and acoustic pressure pulse amplitude information of noise pulse；
B, by direct current single conductor corona discharge it is discrete be multiple point of discharges along wire random distribution, each point of discharge regards as
For point sound source；
C, pulse interval and acoustic pressure pulse amplitude random sequence at the sound source of point sound source are constructed；
D, the random acoustic pressure pulse waveform of point sound source is constructed；
E, audible noise caused by determining wire at the receiving point；
F, the sound pressure level that the audible noise time domain waveform that comparison step A measurements obtain is calculated according to step E with obtaining
The sound pressure level that is calculated of audible noise time domain waveform, if the two difference is more than predetermined threshold, the sound of amendment point sound source
Acoustic pressure pulse amplitude at source, otherwise determine acoustic pressure pulse amplitude at the sound source of point sound source；
G, direct current single conductor is calculated in audible noise caused by any point of space.
In step, extracting the time interval of measurement point audible noise pulse and acoustic pressure pulse amplitude information includes obtaining
The probability density function for obtaining time interval and acoustic pressure pulse amplitude is respectively f1(TI) and f2(pM)；
In step B, if the probability density function of the pulse interval of each point sound source also meets f1(TI), sound at sound source
It is f to press pulse amplitude probability density function2(psM)；
And the probability density function of time interval and acoustic pressure pulse amplitude at the sound source in step C in step B, utilize
Random-number generating method produces the random sequence of acoustic pressure pulse amplitude at point sound source pulse interval and sound source.
In addition, step D includes：
D1, the typical waveform expression formula according to single audible noise pulse and pulse train, construct the audible of point sound source
The random pulses waveform of the sound source of noise, the typical waveform p of single audible noise pulsest(t) it is：
Wherein：K1, K2, α1, α2, β1, β2For waveform fitting parameter,
tn0Half-wave zero crossing is born for acoustic pressure pulse,
tp0For acoustic pressure pulse positive half-wave zero crossing,
psMFor the amplitude of acoustic pressure pulse at point sound source；
D2, the typical waveform according to single audible noise pulse, construct random acoustic pressure pulse ripple caused by point sound source
Shape expression formula is：
Wherein：N is the number of noise pulse series,
TImFor m-th of pulse interval in noise pulse series,
pstiFor the typical waveform of i-th in pulse train single audible noise pulse,
Time interval TIWith acoustic pressure pulse amplitude psMChange at random, determined by step B.
Step E includes：
E1, the propagation model according to point sound source, i-th of point sound source is in acoustic pressure caused by the receiving point of space on wire：
Wherein, Psi(j ω) and Pri(j ω) is respectively the acoustic pressure of i-th point sound source and its acoustic pressure caused by the receiving point
Frequency domain form, obtained by Fourier,
RiFor ground reflection coefficent,
r1iAnd r2iPoint sound source and its mirror image sound source are represented respectively to the distance of receiving point,
K is the wave number of sound wave；
Total acoustic pressure is at E2, calculating receiving point：
Fourier inversion is taken to obtain the time domain waveform of audible noise caused by wire at receiving point to above formula.
By using the direct current single conductor corona discharge audible noise analysis method of the present invention, it is possible to achieve noise signal
Collection in real time and record, obtain corona discharge caused by sound pressure signal change with time rule, made an uproar using corona discharge is audible
The intrinsic property of sound, realize the accurate analysis for direct current single conductor corona discharge audible noise.
Brief description of the drawings
Fig. 1 is the conductor corona of direct current single conductor corona discharge audible noise analysis method in the specific embodiment of the invention
Discharge audible noise model schematic.
Fig. 2 is the flow signal of direct current single conductor corona discharge audible noise analysis method in the specific embodiment of the invention
Figure.
Fig. 3 is the application using direct current single conductor corona discharge audible noise analysis method in the specific embodiment of the invention
Example --- the diameter of wire that experiment measurement obtains is that 7.00mm applies audible noise pulse amplitude and time when voltage is+82kV
The probability density distribution figure at interval.
Fig. 4 is the application using direct current single conductor corona discharge audible noise analysis method in the specific embodiment of the invention
The audible noise waveform that audible noise waveform and measurement obtain during the distance of wire 1m that example obtains.
Fig. 5 is the application using direct current single conductor corona discharge audible noise analysis method in the specific embodiment of the invention
The contrast schematic diagram for the sound pressure level that the sound pressure level of audible noise obtains with measurement under the different conductor surface electric field intensity that example obtains.
Embodiment
Below in conjunction with the accompanying drawings, the present invention is elaborated.
The detailed example embodiment of following discloses.However, concrete structure disclosed herein and function detail merely for the sake of
The purpose of example embodiment is described.
It should be appreciated, however, that the present invention is not limited to disclosed particular exemplary embodiment, but covering falls into disclosure model
Enclose interior all modifications, equivalent and alternative.In the description to whole accompanying drawings, identical reference represents identical member
Part.
It will also be appreciated that term "and/or" includes any of one or more related list items as used in this
With all combinations.It will further be appreciated that when part or unit are referred to as " connecting " or during " coupled " to another part or unit, it
Miscellaneous part or unit are can be directly connected or coupled to, or there may also be intermediate member or unit.In addition, for describing
Between part or unit other words of relation should understand in the same fashion (for example, " between " to " directly between ",
" adjacent " is to " direct neighbor " etc.).
In the specific embodiment of the invention, refer to "up" or "down" above or below physically, and " preceding " and " rear "
It is mutually for the conveying direction of dry mash or slurries, i.e., is all mutually " preceding " with the conveying direction of dry mash or slurries,
Otherwise be " rear ", this and " preceding " physically or it is " rear " may be different.
In the specific embodiment of the invention, direct current single conductor corona discharge audible noise analysis method can include following step
Suddenly.
1) statistical property of the time domain parameter of audible noise caused by conductor corona electric discharge is obtained.
By means of audible noise waving map method, measure away from a certain opening position corona discharge audible noise time domain ripple of wire
Shape, the time interval and pulse amplitude information of extraction measurement point audible noise pulse, acquisition time interval and pulse amplitude
Probability density function is respectively f1(TI) and f2(pM), while obtain the average value of time interval and being averaged for acoustic pressure pulse amplitude
It is worth the variation relation with field strength.
2) processing of conductor corona electric discharge audible noise sound source.
Conductor corona is discharged discrete to see point sound source as along n point of discharge of wire random distribution, each point of discharge,
The model for now calculating conductor corona electric discharge audible noise is as shown in Figure 1.Following precondition is introduced during calculating：
1. assuming the average value all same of sound source pulse caused by each point of discharge, pulse recurrence frequency (fall by time interval
Number) average value it is identical, equal to the 1/n of pulse recurrence frequency caused by wire.The pulse interval of point sound source is assumed simultaneously
Probability density function also meet f1(TI)。
2. assume the probability distribution of acoustic pressure pulse amplitude and measurement point acoustic pressure pulse amplitude probability at the sound source of point sound source
Distribution is consistent, and its probability density function is expressed as f2(psM)。
3) pulse interval and acoustic pressure pulse amplitude random sequence at the sound source of point sound source are constructed.
Similar with the corona discharge audible noise time domain waveform of measurement in step 1), sound source is also by a series of random sound
Pulse train composition is pressed, according to the statistical distribution of pulse interval and acoustic pressure pulse amplitude at the sound source in step 2), by
The random sequence of point sound source pulse interval and acoustic pressure pulse amplitude is produced in random-number generating method.Specific implementation process
It is as follows：
Illustrated by taking time interval as an example, the probability density function of the time interval of sound source pulse is f1(TI), then its is general
Rate distribution function F1(TI) can be expressed as：
Probability-distribution function shown in formula (1) must be the number between 0 and 1, by produce between 0~1 with
Machine number C, order：
Corresponding time interval value is can obtain by solving formula (2), performing aforesaid operations repeatedly can be between generation time
Every sequence.
Similarly, sound at the sound source of point sound source can be produced according to the probability density function of acoustic pressure pulse amplitude at sound source
Press the random sequence of pulse amplitude.Because acoustic pressure pulse amplitude is unknown at the sound source of audible noise, sound at sound source is first assumed herein
The average value for pressing pulse amplitude is some initial value, is corrected by follow-up audible noise measuring result.
4) the random acoustic pressure pulse waveform of point sound source is constructed
By means of single audible noise pulse and the typical waveform expression formula of pulse train, can construct point sound source can
Listen the random acoustic pressure pulse waveform of the sound source of noise, detailed process is as follows：
The typical waveform p of single audible noise pulsest(t) can be expressed as：
Wherein：K1, K2, α1, α2, β1, β2For waveform fitting parameter, it is believed that it is constant, tn0Half-wave is born for acoustic pressure pulse
Zero crossing, tp0For acoustic pressure pulse positive half-wave zero crossing, psMFor the amplitude of acoustic pressure pulse at sound source.According to single audible noise arteries and veins
The typical waveform of punching, can construct random acoustic pressure pulse waveform expression formula caused by point sound source is：
Wherein：N be noise pulse series number, TImFor m-th of pulse interval, p in noise pulse seriesstiFor
The typical waveform of i-th of single audible noise pulse in pulse train, is determined by formula (3).
In the acoustic pressure pulse sequence shown in formula (4) and formula (5), time interval TIWith acoustic pressure pulse amplitude p at sound sourcesMIt is
Change at random, determined by the random sequence in step 3).
5) wire audible noise caused by the receiving point is calculated
According to the random waveform for the point sound source established in step 4), can be calculated by means of the propagation model of point sound source
Each point of discharge audible noise caused by the receiving point, wire is can obtain by linear superposition can caused by the receiving point
Listen noise.Detailed process is as follows：
According to the propagation model of point sound source, i-th of point sound source is in acoustic pressure caused by the receiving point of space on wire：
Wherein：Psi(j ω) and Pri(j ω) is respectively the acoustic pressure of i-th point sound source and its acoustic pressure caused by the receiving point
Frequency domain form, obtained by Fourier transformation, RiFor ground reflection coefficent, r1iAnd r2iPoint sound source and its mirror image sound are represented respectively
Source to receiving point distance, it is specific as shown in figure 1, k is the wave number of sound wave.
Can obtain acoustic pressure total at receiving point according to formula (6) can be expressed as：
Fourier inversion is taken to can obtain the time domain waveform of audible noise caused by wire at receiving point to formula (7).
6) amplitude of acoustic pressure pulse at sound source is determined
By contrast according to the sound pressure level that the obtained audible noise waveshape of step 1) measurement obtains with according to step 5)
The sound pressure level that the audible noise time domain waveform of acquisition is calculated is contrasted, and corrects the amplitude of acoustic pressure pulse at sound source repeatedly,
Untill the difference of sound pressure level meets the scope of permission.
7) wire is calculated in audible noise caused by any point of space
After acoustic pressure pulse determines at sound source, you can calculate space any point audible noise according to step 1)~step 5)
Time domain waveform, while corresponding frequency spectrum and sound pressure level can be calculated.Therefore, as shown in Fig. 2 the direct current single conductor electricity of the present invention
Corona audible noise analysis method, including step：
A, measurement obtains the time domain waveform of audible noise caused by direct current single conductor corona discharge, extracts audible noise pulse
Time interval and acoustic pressure pulse amplitude information；
B, by direct current single conductor corona discharge it is discrete be multiple point of discharges along wire random distribution, each point of discharge regards as
For point sound source；
C, pulse interval and acoustic pressure pulse amplitude random sequence at the sound source of point sound source are constructed；
D, the random acoustic pressure pulse waveform of point sound source is constructed；
E, audible noise caused by determining wire at the receiving point；
F, the sound pressure level that the audible noise time domain waveform that comparison step A measurements obtain is calculated according to step E with obtaining
The sound pressure level that is calculated of audible noise time domain waveform, if the two difference is more than predetermined threshold, the sound of amendment point sound source
Acoustic pressure pulse amplitude at source, otherwise determine acoustic pressure pulse amplitude at the sound source of point sound source；
G, direct current single conductor is calculated in audible noise caused by any point of space.
Wherein, extracting the time interval of audible noise pulse and acoustic pressure pulse amplitude information includes obtaining the measurement point time
The probability density function of interval and acoustic pressure pulse amplitude is respectively f1(TI) and f2(pM)；
In step B, if the probability density function of the pulse interval of each point sound source also meets f1(TI), sound at sound source
It is f to press pulse amplitude probability density function2(psM)；
And time interval and the probability density function of acoustic pressure pulse amplitude in step C in step B, utilize random number
Production method produces the random sequence of point sound source pulse interval and acoustic pressure pulse amplitude.
In addition, step D includes：
D1, the typical waveform expression formula according to single audible noise pulse and pulse train, construct the audible of point sound source
The random pulses waveform of the sound source of noise, the typical waveform p of single audible noise pulsest(t) it is：
Wherein：K1, K2, α1, α2, β1, β2For waveform fitting parameter,
tn0Half-wave zero crossing is born for acoustic pressure pulse,
tp0For acoustic pressure pulse positive half-wave zero crossing,
psMFor the amplitude of acoustic pressure pulse at point sound source；
D2, the typical waveform according to single audible noise pulse, construct random acoustic pressure pulse ripple caused by point sound source
Shape expression formula is：
Wherein：N is the number of noise pulse series,
TImFor m-th of pulse interval in noise pulse series,
pstiFor the typical waveform of i-th in pulse train single audible noise pulse,
Time interval TIWith acoustic pressure pulse amplitude psMChange at random, determined by step B.
Correspondingly, step E includes：
E1, the propagation model according to point sound source, i-th of point sound source is in acoustic pressure caused by the receiving point of space on wire：
Wherein, Psi(j ω) and Pri(j ω) is respectively the acoustic pressure of i-th point sound source and its acoustic pressure caused by the receiving point
Frequency domain form, obtained by Fourier,
RiFor ground reflection coefficent,
r1iAnd r2iPoint sound source and its mirror image sound source are represented respectively to the distance of receiving point,
K is the wave number of sound wave；
Total acoustic pressure is at E2, calculating receiving point：
Fourier inversion is taken to obtain the time domain waveform of audible noise caused by wire at receiving point to above formula.
Illustrate the technique effect of the present invention with more specifical example below.
(1) audible noise caused by twisted wire corona discharge in laboratory is obtained using audible noise Time-Domain Measuring System measurement
Time domain waveform, apply positive polarity voltage in experiment on wire, wire is a diameter of 7.00mm twisted wire, and microphone is away from wire
Horizontal range is 1.0m, and wire electrical discharge region is in the range of 1m in experiment.
(2) after the time domain waveform of the audible noise obtained according to measurement rejects ambient noise, audible noise pulse width is extracted
Value and time interval information, it is general to obtain the acoustic pressure pulse amplitude of measurement point audible noise and time interval when voltage is+86kV
Shown in rate Density Distribution such as Fig. 3 (a) and Fig. 3 (b), it is known that pulse interval Normal Distribution, acoustic pressure pulse amplitude are approximate
Logarithm normal distribution is obeyed, corresponding probability density function can be expressed as：
Average pulse repetition rate field strength changes as shown in formula (10).
rp=KE(E-E0)2 (10)
Wherein：KEFor fitting parameter, it is conductive line surfaces electric-field intensity now to take 7.98, E, is tried to achieve by Analogue charge method, E0
For the bloom field strength of wire.
In experiment only there is point of discharge in wire in the range of length is 1m, it is assumed that n=3 are evenly distributed with wire and is put
Electric, each point of discharge is separate, then the average repetition rate of acoustic pressure pulse caused by each point sound source is KE(E-E0)/n, it is real
The average value for testing middle pulse amplitude is hardly changed with field strength, and the average value of the pulse amplitude of point sound source is thought in analysis
It is definite value under different field strength.An initial value is first assumed herein, afterwards by correcting to obtain corresponding average pulse amplitude repeatedly.
(3) time interval and acoustic pressure arteries and veins at the sound source of point sound source are constructed according to time interval and the statistical distribution of pulse amplitude
The random sequence of amplitude is rushed, constructs the random pulses waveform of each point sound source according to formula (3)~formula (5) afterwards.
(4) take Fourier transformation to calculate its frequency domain form each point sound source constructed respectively, bring formula (6) into and calculate
The frequency domain form of each point sound source acoustic pressure caused by the receiving point, then brings formula (7) into and obtains the frequency domain of the total acoustic pressure of receiving point
Form, the audible noise random waveform for taking Fourier transformation to be calculated to it.
(5) the corresponding sound pressure level L of the audible noise random waveform in step (4) is calculatedpc, while contrast step
(1) the sound pressure level L for the audible noise that measurement obtainspm, by contrasting the difference of two, when both differences are unsatisfactory for error requirements
When, then acoustic pressure pulse amplitude at sound source is corrected, untill both differences meet error requirements.
Fig. 4 (a) and Fig. 4 (b) sets forth by the distance of wire 1m that the method in this patent obtains apart from when it is audible
The audible noise waveform that noise waveform and measurement obtain, now corresponding sound source acoustic pressure pulse amplitude is 15Pa, keeps the sound source
Locate acoustic pressure pulse amplitude, obtain the measurement result of audible noise sound pressure level and result of calculation comparison diagram such as Fig. 5 institutes under different field strength
Show.As can be seen from the figure both errors are in the range of 1.5dB (A), therefore can verify the method that this patent proposes
Correctness.
Time-domain Statistics characteristic of this patent methods described based on audible noise, establishes single conductor audible noise random time domain
Forecasting Methodology, the randomness and intrinsic property of corona discharge audible noise are characterized, can be that further prediction transmission line of electricity can
The characteristic of noise is listened to lay the foundation.
It should be noted that above-mentioned embodiment is only the preferable embodiment of the present invention, it is impossible to is understood as to this
The limitation of invention protection domain, under the premise of without departing from present inventive concept, to any minor variations that the present invention is done and modification
Belong to protection scope of the present invention.
Claims (2)
1. a kind of direct current single conductor corona discharge audible noise analysis method, including step：
A, measurement obtains the time domain waveform of audible noise caused by direct current single conductor corona discharge, extracts measurement point audible noise
The time interval and acoustic pressure pulse amplitude information of pulse；
B, by direct current single conductor corona discharge it is discrete be multiple point of discharges along wire random distribution, each point of discharge sees as a little
Sound source；
C, pulse interval and acoustic pressure pulse amplitude random sequence at the sound source of point sound source are constructed；
D, the random acoustic pressure pulse waveform of point sound source is constructed；
E, audible noise caused by determining wire at the receiving point；
F, the sound pressure level that the audible noise time domain waveform that comparison step A measurements obtain is calculated with according to step E obtain can
The sound pressure level for listening noise time domain waveform to be calculated, if the two difference is more than predetermined threshold, at the sound source for correcting point sound source
Acoustic pressure pulse amplitude, otherwise determine acoustic pressure pulse amplitude at the sound source of point sound source；
G, direct current single conductor is calculated in audible noise caused by any point of space,
In step A, extracting the time interval of measurement point audible noise pulse and acoustic pressure pulse amplitude information includes obtaining the time
The probability density function of interval and acoustic pressure pulse amplitude is respectively f1(TI) and f2(pM)；
In step B, if the probability density function of the pulse interval of each point sound source also meets f1(TI), acoustic pressure arteries and veins at sound source
It is f to rush amplitude probability density function2(psM)；
And the probability density function of time interval and acoustic pressure pulse amplitude at the sound source in step C in step B, using random
Number production method produces the random sequence of acoustic pressure pulse amplitude at point sound source pulse interval and sound source,
Step D includes：
D1, the typical waveform expression formula according to single audible noise pulse and pulse train, construct the audible noise of point sound source
Sound source random pulses waveform, the typical waveform p of single audible noise pulsest(t) it is：
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<mo>(</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&alpha;</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mo>-</mo>
<mi>t</mi>
<mo>+</mo>
<msub>
<mi>t</mi>
<mrow>
<mi>p</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</msup>
<mo>-</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mo>-</mo>
<mi>t</mi>
<mo>+</mo>
<msub>
<mi>t</mi>
<mrow>
<mi>p</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</msup>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<mn>0</mn>
<mo><</mo>
<mi>t</mi>
<mo>&le;</mo>
<msub>
<mi>t</mi>
<mrow>
<mi>p</mi>
<mn>0</mn>
</mrow>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
<msub>
<mi>p</mi>
<mrow>
<mi>s</mi>
<mi>M</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&alpha;</mi>
<mn>2</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>-</mo>
<msub>
<mi>t</mi>
<mrow>
<mi>p</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</msup>
<mo>-</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>2</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>-</mo>
<msub>
<mi>t</mi>
<mrow>
<mi>p</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</msup>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<msub>
<mi>t</mi>
<mrow>
<mi>p</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>&le;</mo>
<mi>t</mi>
<mo><</mo>
<msub>
<mi>t</mi>
<mrow>
<mi>n</mi>
<mn>0</mn>
</mrow>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
</mrow>
Wherein：K1, K2, α1, α2, β1, β2For waveform fitting parameter,
tn0Half-wave zero crossing is born for acoustic pressure pulse,
tp0For acoustic pressure pulse positive half-wave zero crossing,
psMFor the amplitude of acoustic pressure pulse at point sound source；
D2, the typical waveform according to single audible noise pulse, construct random acoustic pressure pulse waveform table caused by point sound source
It is up to formula：
<mrow>
<msub>
<mi>p</mi>
<mi>s</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<msub>
<mi>p</mi>
<mrow>
<mi>t</mi>
<mi>e</mi>
<mi>m</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>,</mo>
</mrow>
Wherein：N is the number of noise pulse series,
TImFor m-th of pulse interval in noise pulse series,
pstiFor the typical waveform of i-th in pulse train single audible noise pulse,
Time interval TIWith acoustic pressure pulse amplitude psMChange at random, determined by step B.
2. according to the direct current single conductor corona discharge audible noise analysis method described in claim 1, it is characterised in that step
E includes：
E1, the propagation model according to point sound source, i-th of point sound source is in acoustic pressure caused by the receiving point of space on wire：
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mi>r</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>j</mi>
<mi>&omega;</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mi>s</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>j</mi>
<mi>&omega;</mi>
<mo>)</mo>
</mrow>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>jkr</mi>
<mrow>
<mn>1</mn>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</msup>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>&pi;r</mi>
<mrow>
<mn>1</mn>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>+</mo>
<msub>
<mi>R</mi>
<mi>i</mi>
</msub>
<mfrac>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mi>s</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>j</mi>
<mi>&omega;</mi>
<mo>)</mo>
</mrow>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>jkr</mi>
<mrow>
<mn>2</mn>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</msup>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>&pi;r</mi>
<mrow>
<mn>2</mn>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>,</mo>
</mrow>
Wherein, Psi(j ω) and Pri(j ω) is respectively the frequency of the acoustic pressure of i-th point sound source and its acoustic pressure caused by the receiving point
Domain form, is obtained by Fourier,
RiFor ground reflection coefficent,
r1iAnd r2iPoint sound source and its mirror image sound source are represented respectively to the distance of receiving point,
K is the wave number of sound wave；
Total acoustic pressure is at E2, calculating receiving point：
<mrow>
<msub>
<mi>P</mi>
<mi>r</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>j</mi>
<mi>&omega;</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>P</mi>
<mrow>
<mi>r</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>j</mi>
<mi>&omega;</mi>
<mo>)</mo>
</mrow>
<mo>,</mo>
</mrow>
Fourier inversion is taken to obtain the time domain waveform of audible noise caused by wire at receiving point to above formula.
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