CN106093570B - It is a kind of to judge system side for the harmonic wave source tracing method of main harmonic source - Google Patents
It is a kind of to judge system side for the harmonic wave source tracing method of main harmonic source Download PDFInfo
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Abstract
System side is judged for the harmonic wave source tracing method of main harmonic source the present invention provides a kind of, including：Using system side and user side to harmonic voltage contribution degree size at points of common connection as judging that both sides harmonic source acts on the criterion of size；Using promise equivalent circuit as the analysis model of system side and user-side harmonic source；Using voltage vector principle of stacking, harmonic voltage at points of common connection is decomposed, compares both sides to harmonic voltage distortion contribution degree at points of common connection, finds out the sufficient and necessary condition that system side is main 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 the difference for measuring obtained harmonic voltage and harmonic current angle, classification judges system side for main harmonic source.This method can be used for solving the problems, such as judging whether system side at points of common connection is that the harmonic wave of main harmonic source is traced to the source, and have stronger engineering practicability.
Description
Technical field
The invention belongs to electric energy quality harmonic analysis fields, more particularly to judge system using points of common connection monitoring data
Side is the harmonic wave source tracing method of main harmonic source.
Background technology
The power quality problem of power grid is always the major issue of power department concern.Harmonic pollution in electric system is asked
Topic just becomes getting worse, and strong influence is caused to the economical operation and user power utilization of power grid.Currently, various countries are in electric energy matter
It is had made some progress in terms of quantity research, but many problems are difficult to solve or reach common understanding, especially at power grid points of common connection
The judgement of practical harmonic wave main source.Although constantly having new theory and algorithm to be used for the research of this aspect, these are theoretical still
Unified understanding is not obtained, also needs further to inquire into.In addition, harmonic source trace-back technique, that is, harmonic wave side of tracing to the source for engineering practice
Method is also very immature, there is limitation even mistake using upper, needs to find new theoretical foundation and technical indicator.
Judge that system side for the essence of main harmonic source is influence journey of the detecting system side to points of common connection harmonic voltage
Degree.If system side influences big, then it is assumed that system side is main 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 is with user specified
Arm's length dealing in range, if system cannot be guaranteed that power supply quality, user should obtain an indemnity；If the contamination index of user dislikes
Change, then system collects additional rejection penalty under the premise of ensureing to user's normal power supply.The supplier of electricity of this rewards and punishments
Case, premised on major harmonic pollution source at correct decision points of common connection, although this scheme can to harmonic pollution into
Row rationally control, but also many problems need to solve.Since system side harmonic wave source size cannot be measured directly, system is judged
Side is the difficult point that the harmonic wave source tracing method of main 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 main harmonic source.
Invention content
The technical problem to be solved by the present invention is to how correctly judge system side using measurement data at points of common connection
For main harmonic source.Cannot difficult point measured directly for system side harmonic wave source size, it is necessary to find new theoretical foundation and
Technical indicator obtains the harmonic wave source tracing method for judging system side for main harmonic source.
The technical solution adopted in the present invention is：
It is a kind of to judge that system side for the harmonic wave source tracing method of main harmonic source, includes the following steps：
Step 1: for there is the points of common connection of harmonic pollution, using power quality oscillograph to points of common connection at
The voltage and current waveform of distortion is acquired, and the content or size of each harmonic are found out using Fast Fourier Transform (FFT), is looked for
Go out harmonics；
Step 2: using promise equivalent circuit as the analysis model of system side and user-side harmonic source, suddenly according to Kiel
Husband's current law obtains：WithWhereinRespectively system side and user side equivalent harmonic wave electricity
Stream source, Zu、ZcRespectively system side and user side equivalent harmonic wave impedance,Respectively PCC (Point of Common
Coupling, points of common connection) at h (overtone order) harmonic voltage and harmonic current that measure.It is reference with harmonic voltage
Phasor,Then harmonic currentV lies prostrate for voltage unit；A pacifies for current unit,It is humorous
The angle of wave voltage and electric current,Amplitude be Upcc,Amplitude be Ipcc.In addition,Amplitude be Iu,Amplitude be
Ic；ZuAmplitude be | Zu|, ZcAmplitude be | Zc|。
Step 3: using 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 is that the sufficient and necessary condition of main harmonic source is Iu>Ic, it is equivalent to Iu 2-Ic 2>0, by formula
It is deformed into：WithIts
In, 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 formulaBy positive and negative on the right of judgment formula, can be used as
Judge system side whether be main harmonic source condition, abbreviation has
It then can determine whether that system side is main harmonic source.
Because it may also be capacitive that the property of both sides harmonic impedance, which may be perception, in practical power systems, root is needed
According to the difference of impedance property, in the following several ways：
Situation 1, system side and user side impedance are all perception：When the angle that measurement obtainsIn fourth quadrant, can must walk
Rule of judgment is in angle in rapid fourPerseverance is set up when positioned at fourth quadrant, i.e., system side is main harmonic source.
Situation 2, both sides impedance are all capacitive：WhenWhen positioned at first quartile, it can determine whether that system side is main harmonic source.
Situation 3, system side harmonic impedance are perception and user-side harmonic impedance is capacitive：WhenIn fourth quadrant, due to
The uncertainty of the Section 4 cosine value symbol of Rule of judgment, need to further analyse in depth in step 4.
When considering that both sides harmonic impedance reactive component is more than resistive component：Iu>IcIt sets up, can determine whether system
Side is main harmonic source；It needs to meetIt just can determine whether that system side is main harmonic source.Actual conditions
In, | Zc| it is at least | Zu| several times, so under normal circumstances, it is main harmonic source condition to meet system side.
Situation 4, as system side harmonic impedance ZuIn capacitive and user-side harmonic impedance ZcWhen in perception, all interval borders
Value and ZuIn perception, ZcThere is mirror symmetry at 180 ° in capacitive, and Rule of judgment is constant.Work asPositioned at first quartile
When, it can determine whether that system side is main harmonic source.The application method of the method for the present invention all situations is concluded to table 1.Method uses item
Part is：(under normal circumstances：|Zc|>|Zu|,)。
Table 1 judges system side for main harmonic source
Situation 5, to analysis that system side is main harmonic source it is found that harmonic wave active power direction is by system side at the PCC
When being directed toward user side, it cannot directly judge that system side for main harmonic source, also needs further to judge according to impedance property.If harmonic wave
Voltage and current anglePositioned at fourth quadrant and system side impedance is in perception or harmonic voltage electric current anglePositioned at first quartile and
System side impedance is in capacitive, then system side is main harmonic source.
Institute's extracting method Practical Project of the present invention is easy to operate, there is faster solving speed compared with other conventional methods,
It need not be calculated using measured data, it only need to be according to the harmonic voltage electric current angle data and both sides resistance that measurement obtains
Matter can accurate judgement system side be main harmonic source, have stronger engineering practicability, be convenient for practical engineering application.
Description of the drawings
Fig. 1 is system side and user-side harmonic source equivalent circuit；
Fig. 2 is both sides impedance when being all perception phasor diagram (In fourth quadrant)；
Fig. 3 be perceptual system impedance, capacitive user's impedance phasor diagram (In fourth quadrant)；
Fig. 4 is the workflow schematic diagram of the present invention.
Specific implementation mode
Judge system side for the specific implementation of the harmonic wave source tracing method of main harmonic source the present invention below in conjunction with the accompanying drawings
Mode is described in detail.
Specific implementation step is as follows：
Step 1: for there is the points of common connection of harmonic pollution, using power quality oscillograph to points of common connection PCC
The voltage and current waveform of place's distortion is acquired, and the content or size of each harmonic are found out using Fast Fourier Transform (FFT)；
Step 2: showing promise equivalent circuit as the analysis model of system side and user-side harmonic source, root using Fig. 1
It is obtained according to Kirchhoff's current law (KCL)：
WhereinRespectively system side and user side equivalent harmonic wave current source, Zu、ZcRespectively system side and user side
Equivalent harmonic wave impedance,The h subharmonic voltages and harmonic current measured at respectively PCC.It is reference with harmonic voltage
Phasor,Then harmonic currentFor the angle of harmonic voltage and electric current,Width
Value is Upcc,Amplitude be Ipcc.In addition,Amplitude be Iu,Amplitude be Ic；ZuAmplitude be | Zu|, ZcAmplitude be |
Zc|。
Step 3: using 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 is that the sufficient and necessary condition of main harmonic source is 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
By positive and negative on the right of judgment formula (4), you can as judge system side whether be main harmonic source condition, and
To Rule of judgment abbreviation, if having
It then can determine whether that system side is main harmonic source.
Because it may also be capacitive that the property of both sides harmonic impedance, which may be perception, in practical power systems, root is needed
According to the difference of impedance property, in the following several ways：
Situation 1, when system side and user side impedance be all perception：
When the angle that measurement obtainsWhen fourth quadrant and both sides impedance are all perception, because of user-side harmonic modulus of impedance
It is long be more than system side harmonic impedance mould length (| Zc|>|Zu|), so before formula (5) left side two be more than zero；Because both sides impedance is same
For perception, αuAnd αcBelong to (0 °, 90 °) range, so two cosine term perseverances are just behind formula (5) left side.Inequality can be obtained
(5) in anglePerseverance is set up when positioned at fourth quadrant, i.e., system side is main harmonic source.
Fig. 2 describes the relationship of each phasor in formula (1), wherein θuForWithAngle, θcForWithAngle, andBy phasorWithTo phasorProjection, because of θuPerseverance is obtuse angle, θcPerseverance is
Acute angle, so there is Iu>IcIt sets up.
Situation 2, when both sides impedance is all capacitive, derivation is same as above, it is known thatWhen positioned at first quartile, also there is Iu>Ic
It sets up, can determine whether that system side is main harmonic source at this time.
Situation 3, when system side harmonic impedance be perception and user-side harmonic impedance be capacitive：
WhenIn fourth quadrant and system side harmonic impedance ZuIn perception, user-side harmonic impedance ZcWhen in capacitive, due to formula
(5) uncertainty of Section 4 cosine value symbol can not directly obtain the impedance parameter condition for making inequality (5) set up, also need
Further analyse in depth.
When considering that both sides harmonic impedance reactive component is more than resistive component, there is system side harmonic impedance angle αuIt is humorous with user side
Wave impedance angle negative value-αcBelong to (45 °, 90 °).IfFor system side harmonic current source amplitude, minimum value Iumin,For user-side harmonic current source amplitude, maximum value Icmax.It is available using the geometry cosine law in Fig. 3：Always in αcI is got at=- 90 °cmax；When function minimum point change.
In αuAt=90 °, Iu=Iumin.If | Zu|=| Zc|, then Iumin=Icmax, because in power grid | Zu|
<|Zc|, so there is Iumin>Icmax, then Iu>IcIt sets up；
In αuAt=45 °, Iu=Iumin.Proof is same as above, but needs to meetIn actual conditions,
|Zc| it is at least | Zu| several times, meet system side be main harmonic source condition.
Situation 4 works as ZuIn capacitive, ZcWhen in perception, derivation is similar to the above, all interval border values and ZuIn sense
Property, ZcThere is mirror symmetry at 180 ° in capacitive, and Rule of judgment is constant.Work asWhen positioned at first quartile, can determine whether be
System side is main harmonic source.The application method of the method for the present invention all situations is concluded to table 1.Method use condition is：(general feelings
Under condition：|Zc|>|Zu|,)。
Table 1 judges system side for main harmonic source
Situation 5, to analysis that system side is main harmonic source it is found that harmonic wave active power direction is by system side at the PCC
When being directed toward user side, it cannot directly judge that system side for main harmonic source, also needs further to judge according to impedance property.If harmonic wave
Voltage and current anglePositioned at fourth quadrant and system side impedance is in perception or harmonic voltage electric current anglePositioned at first quartile and
System side impedance is in capacitive, then system side is main harmonic source.The whole series judge system side for the method flow diagram of main harmonic source,
See Fig. 4, method is all very easy in terms of equivalent model is established, points of common connection is chosen and DATA REASONING, with other conventional methods
Compared to there is faster solving speed, need not largely be calculated using measured data, it only need to be according to measurement angle and both sides
Impedance property can determine whether there is stronger engineering practicability.
According to the method for the present invention, the measured data of certain city partial electric grid load access point is analyzed.The city
Direct current drop point is propagated as harmonic source from 500kV power transmission networks to 10kV power distribution networks in power grid, and user side nonlinear-load is as humorous
Wave source is propagated from 10kV power distribution networks to 500kV power transmission networks.It is known：The urban distribution network system side is perception, and user side is due to city
Power grid largely uses cable, and large capacity filter is housed, and it is in capacitive to make user side.11 subharmonic seriously surpass in power grid
Mark now distorts to the voltage and current at the station to judge certain 10kV substations harmonic pollution essentially from system side or user side
Waveform carries out recording, and extracts 11 subharmonic voltages and harmonic current data.
Harmonic voltage amplitude at PCC is 117V, harmonic current 2A, harmonic voltage electric current angleIt is 342 °, and
And prolonged monitoring data are analyzed, harmonic voltage electric current angle fluctuates between (330 °, 354 °) always.It can
Know：The station system side is in capacitive in perception, user side, and harmonic voltage electric current angle is always between (330 °, 354 °).It can sentence
Harmonic wave is essentially from system side at disconnected PCC.
Institute's extracting method Practical Project of the present invention is easy to operate, there is faster solving speed compared with other conventional methods,
It need not be calculated using measured data, it only need to be according to the harmonic voltage electric current angle data and both sides resistance that measurement obtains
Matter can accurate judgement system side be main harmonic source, have stronger engineering practicability, be convenient for practical engineering application.
Claims (2)
1. a kind of judge system side for the harmonic wave source tracing method of main harmonic source, it is characterised in that include the following steps：
Step 1: for there is the points of common connection PCC of harmonic pollution, using power quality oscillograph to the electricity of distortion at PCC
Pressure and current waveform are acquired, and the content or size of each harmonic are found out using Fast Fourier Transform (FFT), find out feature time
Harmonic wave；
Step 2: using promise equivalent circuit as the analysis model of system side and user-side harmonic source, according to kirchhoff electricity
Stream law obtains：WithWhereinRespectively system side and user side equivalent harmonic wave electric current
Source, Zu、ZcRespectively system side and user side equivalent harmonic wave impedance,The h subharmonic voltages measured at respectively PCC
And harmonic current；With harmonic voltage be with reference to phasor,Then harmonic currentV is voltage
Unit lies prostrate；A pacifies for current unit,For the angle of harmonic voltage and electric current,Amplitude be Upcc,Amplitude be Ipcc；Separately
Outside,Amplitude be Iu,Amplitude be Ic；ZuAmplitude be | Zu|, ZcAmplitude be | Zc|；
Step 3: using voltage vector principle of stacking, harmonic voltage at PCC is decomposed, compares both sides to harmonic wave electricity at PCC
Pressure distortion contribution degree；System side is that the sufficient and necessary condition of main harmonic source is Iu>Ic, it is equivalent to Iu 2-Ic 2>0, formula is deformed
For：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 formulaBy positive and negative on the right of judgment formula, as sentencing
Disconnected system side whether be main harmonic source condition, abbreviation has
It then can determine whether that system side is main harmonic source.
2. judging system side for the harmonic wave source tracing method of main harmonic source according to claim 1, it is characterised in that：
According to step 4 obtain judge system side whether be main harmonic source condition, need the difference according to impedance property,
In the following several ways：
Situation 1, system side and user side impedance are all perception：When the angle that measurement obtainsIn fourth quadrant, step 4 can be obtained
Middle Rule of judgment is in anglePerseverance is set up when positioned at fourth quadrant, i.e., system side is main harmonic source；
Situation 2, both sides impedance are all capacitive：WhenWhen positioned at first quartile, it can determine whether that system side is main harmonic source；
Situation 3, system side harmonic impedance are perception and user-side harmonic impedance is capacitive：WhenIn fourth quadrant, due to step
The uncertainty of the Section 4 cosine value symbol of Rule of judgment, need to further analyse in depth in four；
When both sides harmonic impedance reactive component is more than resistive component：①Iu>IcIt sets up, judges that system side is main
Harmonic source；②It needs to meetSystem side could be judged for main harmonic source；
Situation 4, as system side harmonic impedance ZuIn capacitive and user-side harmonic impedance ZcWhen in perception, all interval border values with
ZuIn perception, ZcThere is mirror symmetry at 180 ° in capacitive, and Rule of judgment is constant；Work asWhen positioned at first quartile, sentence
Disconnected system side is main harmonic source；
The application method of the 2. kind situation is concluded to table 1 in this method situation 3；Use condition is：
Table 1 judges system side for main harmonic source
Situation 5 is directed toward the analysis that system side is main harmonic source it is found that working as harmonic wave active power direction at PCC by system side
When user side, it cannot directly judge that system side for main harmonic source, also needs further to judge according to impedance property；If harmonic voltage
Electric current anglePositioned at fourth quadrant and system side impedance is in perception or harmonic voltage electric current anglePositioned at first quartile and it is
Side impedance of uniting is in capacitive, then system side is main harmonic source.
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Families Citing this family (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108279363B (en) * | 2018-01-26 | 2019-01-29 | 四川大学 | Method and device is determined based on the main harmonic source for improving active power direction method |
| CN108957131B (en) * | 2018-08-03 | 2020-07-28 | 西安科技大学 | Low-voltage power distribution network harmonic responsibility division method based on residual current |
| 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) |
| CN113228449A (en) * | 2018-12-17 | 2021-08-06 | 艾克斯兰能源技术公司 | Sensor-based energy management enclosure and distributed energy resource management based on sensor data |
| 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 |
| 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 |
| 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 |
| 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 |
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