CN106093570A - A kind of harmonic wave source tracing method judging that system side is major harmonic source - Google Patents
A kind of harmonic wave source tracing method judging that system side is major harmonic source Download PDFInfo
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Abstract
The invention provides a kind of harmonic wave source tracing method judging that system side is major harmonic source, including: using system side and user side to harmonic voltage contribution degree size at points of common connection as the criterion judging both sides harmonic source effect size；Promise is utilized to pause the equivalent circuit analysis model as system side and user-side harmonic source；Utilize voltage vector principle of stacking, harmonic voltage at points of common connection is decomposed, compare both sides to harmonic voltage distortion contribution degree at points of common connection, obtain the sufficient and necessary condition that system side is major harmonic source；According to system side impedance and user side impedance inherent feature, in conjunction with harmonic voltage current measurement information at points of common connection, and according to measuring the harmonic voltage and the difference of harmonic current angle obtained, classification judges that system side is major harmonic source.The method can be used for solving judging that whether system side at points of common connection is that the harmonic wave in major harmonic source is traced to the source problem, has stronger engineering practicability.
Description
Technical field
The invention belongs to electric energy quality harmonic analysis field, particularly relate to utilize points of common connection Monitoring Data to judge system
Side is the harmonic wave source tracing method in major harmonic source.
Background technology
The power quality problem of electrical network is always the major issue that power department is paid close attention to.Harmonic pollution in power system is asked
Topic is just becoming day by day serious, and economical operation and user power utilization to electrical network cause strong influence.At present, various countries are in electric energy matter
Quantity research aspect has made some progress, but a lot of problem is difficult to solve or reach common understanding, especially at electrical network points of common connection
The judgement of actual harmonic wave main source.Although constantly having the research for this aspect of new theory and algorithm, but these theories being still
Do not obtain unified understanding, also need to inquire into further.Additionally, for the harmonic source trace-back technique i.e. harmonic wave side of tracing to the source of engineering practice
Method is the most immature, and in application, even mistake is limited in existence, needs to find new theoretical basis and technical specification.
Judge that the essence that system side is major harmonic source is that detecting system side affects journey to points of common connection harmonic voltage
Degree.If system side impact is big, then it is assumed that system side is major harmonic source.After the viewpoint of " rewards and punishments scheme " proposes, state
Inside and outside scientific worker has done many deep discussions in this respect.Its basic thought is: system and user are specified
In the range of arm's length dealing, if system is it cannot be guaranteed that power supply quality, user should obtain an indemnity；If the contamination index of user dislikes
Change, then system is ensureing on the premise of user's normal power supply, collects extra rejection penalty.The supplier of electricity of this rewards and punishments
Case, at correct decision points of common connection premised on major harmonic pollution source, although harmonic pollution can be entered by this scheme
Row conservative control, but the most a lot of problem needs to solve.Owing to system side harmonic source size can not directly be measured, it is judged that system
Side is the difficult point that the harmonic wave source tracing method in major harmonic source is always in harmonic study, especially when points of common connection both sides
When all there is harmonic source, it more difficult to judge whether system side is major harmonic source.
Summary of the invention
The technical problem to be solved is to utilize measurement data at points of common connection the most correctly to judge system side
For major harmonic source.Can not difficult point measured directly for system side harmonic source size, it is necessary to find new theoretical basis and
Technical specification, obtains judging the harmonic wave source tracing method that system side is major harmonic source.
The technical solution adopted in the present invention is:
A kind of harmonic wave source tracing method judging that system side is major harmonic source, comprises the steps:
Step one, for the points of common connection of harmonic pollution occurs, use quality of power supply oscillograph to points of common connection at
The voltage and current waveform of distortion is acquired, and utilizes fast Fourier transform to obtain content or the size of each harmonic, looks for
Go out harmonics；
Step 2, promise is utilized to pause the equivalent circuit analysis model as system side and user-side harmonic source, according to Kiel suddenly
Husband's current law obtains:WithWhereinIt is respectively system side and user side equivalent harmonic wave electric current
Source, Zu、ZcIt is respectively system side and the equivalent harmonic wave impedance of user side,It is respectively PCC (Point of Common
Coupling, points of common connection) h (overtone order) harmonic voltage recording of place and harmonic current.With harmonic voltage as reference
Phasor,Then harmonic currentV is voltage unit volt；A is current unit peace,For harmonic wave
The angle of voltage and current,Amplitude be Upcc,Amplitude be Ipcc.It addition,Amplitude be Iu,Amplitude be Ic；Zu
Amplitude be | Zu|, ZcAmplitude be | Zc|。
Step 3, utilize voltage vector principle of stacking, harmonic voltage at PCC is decomposed, compares both sides to humorous at PCC
Wave voltage distortion contribution degree.System side be the sufficient and necessary condition in major harmonic source be Iu>Ic, it is equivalent to Iu 2-Ic 2> 0, by formula
It is deformed into:WithWherein, αu
For system side impedance angle, αcFor user side impedance angle.
Step 4, according to I in step 3u 2And Ic 2Expression formula can obtain Iu 2-Ic 2Expression formulaPositive and negative by the right of judgment formula, can be as sentencing
Whether disconnected system side is the condition in major harmonic source, and abbreviation hasThen
Can determine whether that system side is major harmonic source.
Because the character of both sides harmonic impedance may be likely to as capacitive for perception, so needing root in practical power systems
According to the difference of impedance property, in the following several ways:
Situation 1, system side and the impedance of user side are all perception: when measuring the angle obtainedWhen fourth quadrant, can walk
In rapid four, Rule of judgment is at angleWhen being positioned at fourth quadrant, perseverance is set up, i.e. system side is major harmonic source.
Situation 2, both sides impedance are all capacitive: whenWhen being positioned at first quartile, can determine whether that system side is major harmonic source.
Situation 3, system side harmonic impedance are capacitive for perception and user-side harmonic impedance: whenWhen fourth quadrant, due to
In step 4, the uncertainty of the Section 4 cosine value symbol of Rule of judgment, need to analyse in depth further.
When considering both sides harmonic impedance reactive component more than resistive component:Iu>IcSet up, can determine whether system
Side is major harmonic source；Need to meetJust can determine whether that system side is major harmonic source.Practical situation
In, | Zc| at least | Zu| several times, so generally, meeting system side is major harmonic source condition.
Situation 4, as system side harmonic impedance ZuIn capacitive with user-side harmonic impedance ZcDuring in perception, all interval border
Value and ZuIn perception, ZcThere is in capacitive at 180 ° mirror symmetry, and Rule of judgment is constant.I.e. whenIt is positioned at first quartile
Time, can determine whether that system side is major harmonic source.The using method of the inventive method all situations is concluded to table 1.Method uses bar
Part is: (generally: | Zc|>|Zu|,)。
Table 1 judges that system side is major harmonic source
Situation 5, to the analysis that system side is major harmonic source understand, at PCC, harmonic wave active power direction is by system side
When pointing to user side, it is impossible to directly judge that system side is major harmonic source, also need to determine whether according to impedance property.If harmonic wave
Voltage x current angleIt is positioned at fourth quadrant and system side impedance is perception, or harmonic voltage electric current angleBe positioned at first quartile and
System side impedance is capacitive, then system side is major harmonic source.
Institute of the present invention extracting method Practical Project is easy and simple to handle, has solving speed faster compared with other traditional methods,
Need not utilize measured data to calculate, only need to be according to measuring the harmonic voltage electric current angle data and both sides resistance obtained
Matter can accurately judge that system side is major harmonic source, has stronger engineering practicability, it is simple to practical engineering application.
Accompanying drawing explanation
Fig. 1 is system side and user-side harmonic source equivalent circuit；
Fig. 2 be both sides impedance phasor diagram when being all perception (In fourth quadrant)；
Fig. 3 be perception system impedance, capacitive user's impedance phasor diagram (In fourth quadrant)；
Fig. 4 is the workflow schematic diagram of the present invention.
Detailed description of the invention
Below in conjunction with the accompanying drawings the present invention is judged being embodied as of the harmonic wave source tracing method that system side is major harmonic source
Mode is described in detail.
It is embodied as step as follows:
Step one, for the points of common connection of harmonic pollution occurs, use quality of power supply oscillograph to points of common connection PCC
The voltage and current waveform of place's distortion is acquired, and utilizes fast Fourier transform to obtain content or the size of each harmonic；
Step 2, utilize Fig. 1 to show promise to pause the equivalent circuit analysis model as system side and user-side harmonic source, root
Obtain according to Kirchhoff's current law (KCL):
WhereinIt is respectively system side and user side equivalent harmonic wave current source, Zu、ZcIt is respectively system side and user side
Equivalent harmonic wave impedance,It is respectively the h subharmonic voltage and harmonic current recorded at PCC.With harmonic voltage for reference to phase
Amount,Then harmonic currentFor harmonic voltage and the angle of electric current,Amplitude be
Upcc,Amplitude be Ipcc.It addition,Amplitude be Iu,Amplitude be Ic；ZuAmplitude be | Zu|, ZcAmplitude be | Zc|。
Step 3, utilize voltage vector principle of stacking, harmonic voltage at PCC is decomposed, compares both sides to humorous at PCC
Wave voltage distortion contribution degree.System side be the sufficient and necessary condition in major harmonic source be Iu>Ic, it is equivalent to Iu 2-Ic 2> 0, by formula
It is deformed into
Wherein, αuFor system side impedance angle, αcFor user side impedance angle.
Step 4, according to formula (2) and formula (3), subtracting formula (3) with formula (2) can obtain
Positive and negative by judgment formula (4) the right, can be used as judging that whether system side is the condition in major harmonic source, and
To Rule of judgment abbreviation, if having
Then can determine whether that system side is major harmonic source.
Because the character of both sides harmonic impedance may be likely to as capacitive for perception, so needing root in practical power systems
According to the difference of impedance property, in the following several ways:
Situation 1, it is all perception when system side and the impedance of user side:
When the angle that measurement obtainsWhen fourth quadrant and both sides impedance are all perception, because user-side harmonic modulus of impedance
Long more than system side harmonic impedance mould length (| Zc|>|Zu|), so before formula (5) left side two more than zero；Because both sides impedance is same
For perception, αuAnd αcBelong to (0 °, 90 °) scope, so the cosine term perseverance of two is just behind formula (5) left side.Inequality can be obtained
(5) at angleWhen being positioned at fourth quadrant, perseverance is set up, i.e. system side is major harmonic source.
Fig. 2 describes the relation of each phasor, wherein θ in formula (1)uForWithAngle, θcForWithAngle, andBy phasorWithTo phasorProjection, because θuPerseverance is obtuse angle, θcPerseverance is
Acute angle, so there being Iu>IcSet up.
Situation 2, when both sides impedance is all capacitive, derivation is ibid, it is known thatWhen being positioned at first quartile, also there is Iu>Ic
Set up, now can determine whether that system side is major harmonic source.
Situation 3, when system side harmonic impedance for perception and user-side harmonic impedance be capacitive:
WhenAt fourth quadrant and system side harmonic impedance ZuIn perception, user-side harmonic impedance ZcDuring in capacitive, due to formula
(5) uncertainty of Section 4 cosine value symbol, it is impossible to directly obtain the impedance parameter condition making inequality (5) set up, also need
Analyse in depth further.
When considering both sides harmonic impedance reactive component more than resistive component, there is system side harmonic impedance angle αuHumorous with user side
Natural impedance angle negative value-αcBelong to (45 °, 90 °).IfFor system side harmonic current source amplitude, its minima is Iumin,For user-side harmonic current source amplitude, its maximum is Icmax.In Fig. 3, the geometry cosine law is utilized to can get:All the time at αcI is got when=-90 °cmax；Time function minimum point change.
At αuWhen=90 °, Iu=Iumin.If | Zu|=| Zc|, then Iumin=Icmax, because in electrical network | Zu|<
|Zc|, so there being Iumin>Icmax, then Iu>IcSet up；
At αuWhen=45 °, Iu=Iumin.Prove ibid, but need to meetIn practical situation, |
Zc| at least | Zu| several times, meeting system side is major harmonic source condition.
Situation 4, work as ZuIn capacitive, ZcDuring in perception, derivation is similar to the above, all interval border values and ZuIn sense
Property, ZcThere is in capacitive at 180 ° mirror symmetry, and Rule of judgment is constant.I.e. whenWhen being positioned at first quartile, can determine whether be
System side is major harmonic source.The using method of the inventive method all situations is concluded to table 1.Method use condition is: (general feelings
Under condition: | Zc|>|Zu|,)。
Table 1 judges that system side is major harmonic source
Situation 5, to the analysis that system side is major harmonic source understand, at PCC, harmonic wave active power direction is by system side
When pointing to user side, it is impossible to directly judge that system side is major harmonic source, also need to determine whether according to impedance property.If harmonic wave
Voltage x current angleIt is positioned at fourth quadrant and system side impedance is perception, or harmonic voltage electric current angleBe positioned at first quartile and
System side impedance is capacitive, then system side is major harmonic source.The whole series judge the method flow diagram that system side is major harmonic source,
See Fig. 4, method equivalent model set up, points of common connection choose with DATA REASONING in terms of the easiest, with other traditional methods
Compare solving speed faster, it is not necessary to utilize measured data to calculate in a large number, only need to be according to measuring angle and both sides
Impedance property i.e. can determine whether, has stronger engineering practicability.
The method according to the invention, is analyzed the measured data of certain city partial electric grid load access point.This city
In electrical network, direct current drop point is propagated to 10kV power distribution network from 500kV power transmission network as harmonic source, and user side nonlinear-load is as humorous
Wave source is propagated to 500kV power transmission network from 10kV power distribution network.Known: this urban distribution network system side is perception, and user side is due to city
Electrical network uses cable in a large number, and equipped with Large Copacity filter, making user side is capacitive.In electrical network, 11 subharmonic seriously surpass
Mark, for judging that certain 10kV transformer station harmonic pollution distorts essentially from system side or user side, the existing voltage x current to this station
Waveform carries out recording ripple, and extracts 11 subharmonic voltages and harmonic current data.
Harmonic voltage amplitude at PCC is 117V, and harmonic current is 2A, harmonic voltage electric current angleIt is 342 °, and
And long Monitoring Data is analyzed, its harmonic voltage electric current angle fluctuates all the time between (330 °, 354 °).Can
Knowing: this station system side is perception, and user side is capacitive, harmonic voltage electric current angle is all the time between (330 °, 354 °).Can sentence
At disconnected PCC, harmonic wave is essentially from system side.
Institute of the present invention extracting method Practical Project is easy and simple to handle, has solving speed faster compared with other traditional methods,
Need not utilize measured data to calculate, only need to be according to measuring the harmonic voltage electric current angle data and both sides resistance obtained
Matter can accurately judge that system side is major harmonic source, has stronger engineering practicability, it is simple to practical engineering application.
Claims (2)
1. the harmonic wave source tracing method judging that system side is major harmonic source, it is characterised in that comprise the steps:
Step one, for the points of common connection of harmonic pollution occurs, use quality of power supply oscillograph at points of common connection distort
Voltage and current waveform be acquired, and utilize fast Fourier transform to obtain content or the size of each harmonic, find out spy
Levy subharmonic；
Step 2, promise is utilized to pause the equivalent circuit analysis model as system side and user-side harmonic source, according to kirchhoff electricity
Stream law obtains:WithWhereinIt is respectively system side and user side equivalent harmonic wave current source, Zu、Zc
It is respectively system side and the equivalent harmonic wave impedance of user side,It is respectively the h subharmonic voltage recorded at PCC and harmonic wave electricity
Stream；With harmonic voltage for reference phasor,Then harmonic currentV is voltage unit volt；A
Pacify for current unit,For harmonic voltage and the angle of electric current,Amplitude be Upcc,Amplitude be Ipcc.It addition,Width
Value is Iu,Amplitude be Ic；ZuAmplitude be | Zu|, ZcAmplitude be | Zc|；
Step 3, utilize voltage vector principle of stacking, harmonic voltage at PCC is decomposed, compare both sides to harmonic wave electricity at PCC
Pressure distortion contribution degree；System side be the sufficient and necessary condition in major harmonic source be Iu>Ic, it is equivalent to Iu 2-Ic 2> 0, formula is deformed
For:WithWherein, αuFor system
Side impedance angle, αcFor user side impedance angle；
Step 4, according to I in step 3u 2And Ic 2Expression formula can obtain Iu 2-Ic 2Expression formulaPositive and negative, as judging system by the right of judgment formula
Whether side is the condition in major harmonic source, and abbreviation hasThen can determine whether be
System side is major harmonic source.
Judge the harmonic wave source tracing method that system side is major harmonic source the most according to claim 1, it is characterised in that:
Judge that whether system side is the condition in major harmonic source according to what step 4 obtained, need the difference according to impedance property,
In the following several ways:
Situation 1, system side and the impedance of user side are all perception: when measuring the angle obtainedWhen fourth quadrant, step 4 can be obtained
Middle Rule of judgment is at angleWhen being positioned at fourth quadrant, perseverance is set up, i.e. system side is major harmonic source；
Situation 2, both sides impedance are all capacitive: whenWhen being positioned at first quartile, can determine whether that system side is major harmonic source；
Situation 3, system side harmonic impedance are capacitive for perception and user-side harmonic impedance: whenWhen fourth quadrant, due to step
In four, the uncertainty of the Section 4 cosine value symbol of Rule of judgment, need to analyse in depth further；
When both sides harmonic impedance reactive component is more than resistive component:Iu>IcSet up, it is judged that system side is main
Harmonic source；Need to meetCould judge that system side is major harmonic source；
Situation 4, as system side harmonic impedance ZuIn capacitive with user-side harmonic impedance ZcDuring in perception, all interval border values with
ZuIn perception, ZcThere is in capacitive at 180 ° mirror symmetry, and Rule of judgment is constant；I.e. whenWhen being positioned at first quartile, sentence
Disconnected system side is major harmonic source；
The using method of this method all situations is concluded to table 1；Use condition is:
Table 1 judges that system side is major harmonic source
Situation 5, to the analysis that system side is major harmonic source understand, at PCC, harmonic wave active power direction is pointed to by system side
During user side, it is impossible to directly judge that system side is major harmonic source, also need to determine whether according to impedance property；If harmonic voltage
Electric current angleIt is positioned at fourth quadrant and system side impedance is perception, or harmonic voltage electric current angleIt is positioned at first quartile and system
Side impedance is capacitive, then system side is major harmonic source.
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| CN108957131A (en) * | 2018-08-03 | 2018-12-07 | 西安科技大学 | Low-voltage network harmonic contributions division methods based on residual current |
| CN109061300A (en) * | 2018-09-19 | 2018-12-21 | 江苏中凌高科技股份有限公司 | A kind of characteristic harmonics source localization method of PCC point |
| CN110261682A (en) * | 2019-08-14 | 2019-09-20 | 四川大学 | System side harmonic impedance acquisition methods and system under measured data phase missing |
| CN110470926A (en) * | 2019-07-15 | 2019-11-19 | 国网浙江省电力有限公司电力科学研究院 | A kind of practical evaluation method of AC network background harmonics impedance |
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| CN112285421A (en) * | 2020-10-16 | 2021-01-29 | 国网四川省电力公司电力科学研究院 | System side harmonic impedance estimation method based on minimum norm criterion |
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| CN115420948A (en) * | 2022-08-15 | 2022-12-02 | 北京印刷学院 | Power distribution network harmonic tracing method based on multi-voltage source type converter networking |
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|---|---|---|---|---|
| CN108279363A (en) * | 2018-01-26 | 2018-07-13 | 四川大学 | Method and device is determined based on the main harmonic source for improving active power direction method |
| CN108957131A (en) * | 2018-08-03 | 2018-12-07 | 西安科技大学 | Low-voltage network harmonic contributions division methods based on residual current |
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| CN109061300B (en) * | 2018-09-19 | 2020-11-10 | 江苏中凌高科技股份有限公司 | Characteristic harmonic source positioning method for PCC (point of common coupling) |
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| CN110470926B (en) * | 2019-07-15 | 2022-05-17 | 国网浙江省电力有限公司电力科学研究院 | Practical estimation method for background harmonic impedance of alternating current power grid |
| CN110470926A (en) * | 2019-07-15 | 2019-11-19 | 国网浙江省电力有限公司电力科学研究院 | A kind of practical evaluation method of AC network background harmonics impedance |
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| CN112285421A (en) * | 2020-10-16 | 2021-01-29 | 国网四川省电力公司电力科学研究院 | System side harmonic impedance estimation method based on minimum norm criterion |
| CN112285421B (en) * | 2020-10-16 | 2023-05-23 | 国网四川省电力公司电力科学研究院 | System side harmonic impedance estimation method based on minimum norm criterion |
| CN115032458A (en) * | 2022-06-02 | 2022-09-09 | 北京妙微科技有限公司 | Harmonic impedance estimation method based on power grid system and computer storage medium |
| CN115032458B (en) * | 2022-06-02 | 2023-08-11 | 北京妙微科技有限公司 | Harmonic impedance estimation method based on power grid system and computer storage medium |
| CN115420948A (en) * | 2022-08-15 | 2022-12-02 | 北京印刷学院 | Power distribution network harmonic tracing method based on multi-voltage source type converter networking |
| CN115420948B (en) * | 2022-08-15 | 2024-06-07 | 北京印刷学院 | Power distribution network harmonic tracing method based on multi-voltage source converter networking |
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