CN110007193A - Fault Section Location of Distribution Network based on FDM - Google Patents
Fault Section Location of Distribution Network based on FDM Download PDFInfo
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- CN110007193A CN110007193A CN201910243195.5A CN201910243195A CN110007193A CN 110007193 A CN110007193 A CN 110007193A CN 201910243195 A CN201910243195 A CN 201910243195A CN 110007193 A CN110007193 A CN 110007193A
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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
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
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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
- G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
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- Locating Faults (AREA)
Abstract
The present invention provides a kind of Fault Section Location of Distribution Network based on FDM, it is primarily based on generalized Fourier mode decomposition method (Fourier decomposition method, each measuring point zero-sequence current FDM) power distribution network to that singlephase earth fault occur after is unfolded, obtain a series of Fourier's intrinsic mode functions that are orthogonal, mutually independent, having adaptivity (Fourier intrinsic band functions, FIBFs)；It is then based on each mode function and defines Fourier-Hilbert marginal spectrum (Fourier-Hilbert spectrum, FHS), the instantaneous energy density function of each measuring point zero-sequence current after failure is further constructed based on marginal spectrum and form fault location criterion.The present invention can provide effective technical support for the rapidly and accurately positioning of one-phase earthing failure in electric distribution network, have preferable engineering practical value.
Description
Technical field
The invention proposes a kind of Fault Section Location of Distribution Network based on FDM, belong to relay protection of power system
Technical field.
Background technique
Country invests huge in terms of distribution construction retrofit, and " distribution action plan " target will realize power supply reliability
99.947% or more, distribution construction requirements standard is high, technology is new, effect is good.Distribution is directly facing user, wide coverage, environment
Complexity quickly positions after failure particularly significant.
When singlephase earth fault occurs for the distribution system of neutral by arc extinction coil grounding at present, because line voltage continues holding pair
Claim, can be greatly improved power supply reliability, this earthing mode is obtained sustainable development by generally approving both at home and abroad.State at present
The power distribution network of outer Main Developed Countries also gradually connects on the whole from low resistance grounding mode to arc suppression coil for the non-effective of representative
Ground mode transition.But this neutral by arc extinction coil grounding system, because arc suppression coil has carried out one to capacitance current of distribution network
Degree compensation is determined, so that great change has occurred in its current distribution to entire power distribution network after the failure occurred, to determining for failure
Position investigation brings extreme difficulties, this is but also it is several that the fault-location problem of small current neutral grounding system, which becomes in conventional electrical distribution net,
It is few that thorough one of solve the problems, such as is not yet received.
For this problem, many scholars propose a series of line selection and location schemes, generally comprise steady-state component method, transient state component
Method and signal injection method.From the point of view of practical effect in recent years, the line selection and location method overall effect based on steady-state quantity is bad, because
It is influenced vulnerable to factors such as neutral grounding mode, transition resistance and unstable arcs, and sensitivity is low, is easy to happen erroneous judgement；Letter
One significant drawback of number injection method is investment to be significantly increased, and this method can not fundamentally solve high resistance earthing fault
Problem；Transient method by colleges and universities scholar, the favor of electric power wave-recording device manufacturing enterprise, is primarily due to arc suppression coil compensation in recent years
Object be power current, to some high-frequency currents in transient state transient process there is no significant compensation effect, be based on this
Starting point proposes a series of failure line selection location technology schemes based on transient method, but the transient state route selection based on different theories is fixed
Position method its effect, applicability also have quite big difference.
Summary of the invention
It is an object of the present invention to overcome the shortcomings of the prior art and provide a kind of distribution network failures based on FDM
Section Location provides robust techniques for quick and precisely finding the position of distribution net work earthing fault generation for operation maintenance personnel
It ensures.The technical solution adopted by the present invention is that:
A kind of Fault Section Location of Distribution Network based on FDM, comprising the following steps:
Step 1: when bus residual voltage value is more prescribed a time limit, the fault wave recording device for being installed on each measuring point of power distribution network opens immediately
It is dynamic, acquire the zero sequence current signal after each measuring point failure in 1/2 power frequency period；
Step 2: FDM decomposition being carried out to collected zero sequence current signal, obtains a series of intrinsic mode letter of Fourier
Number；
Step 3: Fourier-Hilbert marginal spectrum is defined based on each Fourier's intrinsic mode function；
Step 4: the instantaneous energy density function and shape of each measuring point zero-sequence current after failure are further constructed based on marginal spectrum
At fault location criterion；
Step 5: providing fault location result in conjunction with network topology structure.
Further, fault wave recording device entry condition in step 1 are as follows:
When bus residual voltage value is more prescribed a time limit, the fault wave recording device for being installed on each measuring point of power distribution network starts immediately, record
Stray currents measurement after lower failure in 1/2 power frequency period, finally synthesizes zero sequence current signal；When bus residual voltage value
Think out-of-limit when bus load voltage value more than 0.15 times.
Further, step 2 specifically comprises the following steps:
Step 201: setting x (t) as section [t1,t1+T0] on real value limit signal, indicate the zero sequence current signal；
By this signal period property extend are as follows:
T is the time, and k is periodicity, T0For cycle duration, then have:
Fourier expansion formula are as follows:
Wherein:
w0=2 π/T0rad/s
Step 202:
It is indicated using complex exponential:
Then in step 201It can further be write as:
Wherein:
ck=ak-jbk,
ThenIt can further express as follows:
Re expression takes real part, wherein analytical function
Step 203:
In order to obtain the intrinsic mode function of one group of parsing, by zT0(t) further it is written as follow form:
Here, by the way of from low frequency toward high frequency sweep:
...,
Namely:
Wherein N0=0, NM=∞
In order to obtain the mode function of minimal amount, for each above-mentioned i value, from Ni-1+ 1 starts to be appended below two
Condition is until NiValue meets:
(Ni-1+1)≤Ni≤∞
With
Wherein ai(t) and ωi(t)=2 π fi(t) be i-th of intrinsic mode function amplitude and angular frequency；
The M intrinsic mode function decomposition result about real value limit signal x (t) can be obtained according to above step.
Further, the Fourier of step 3-Hilbert marginal spectrum definition mode are as follows:
Resulting each Fourier intrinsic mode function FIBF, amplitude a are decomposed for step 2i(t), frequency fi(t)
It is the function of time, therefore can be by { t, fi(t),ai(t) } defining H (f, t) indicates that frequency is f, the moment is width corresponding to t
Value；
Define Fourier according to the present invention-Hilbert marginal spectrum:
Further, the zero-sequence current instantaneous energy density function of step 4 is defined as:
fMFor the frequency of m-th intrinsic mode function；
The fault location criterion of step 4 are as follows:
It enables
Wherein i represents measuring point label；
If Yi/Yj∈ [1-K, 1+K], then it is assumed that measuring point i, j are ipsilateral in fault point, otherwise it is assumed that failure occur measuring point i,
Between j, K is preset threshold here.
Further, K takes 0.2.
Advantages of the present invention: the present invention can capture power distribution network and the fault characteristic signals after singlephase earth fault occur, can
The instantaneous energy feature for effectively extracting the transient signal after failure forms fault location criterion and accurately finds failure generation position.
The present invention provides effective technical support for the rapidly and accurately positioning of one-phase earthing failure in electric distribution network, has preferable
Engineering practical value.
Detailed description of the invention
Fig. 1 is Fault Locating Method flow chart of the invention.
Fig. 2 is test power distribution network topological structure schematic diagram of the invention.
Fig. 3 is fault point two sides zero-sequence current schematic diagram after failure of the invention occurs.
Fig. 4 is fault point upstream instantaneous energy curve synoptic diagram of the invention.
Fig. 5 is trouble point downstream instantaneous energy curve synoptic diagram of the invention.
Specific embodiment
Below with reference to specific drawings and examples, the invention will be further described.
The present invention proposes a kind of Fault Section Location of Distribution Network based on FDM, is primarily based on generalized Fourier mode
Each measuring point after singlephase earth fault is occurred for power distribution network by decomposition method (Fourier decomposition method, FDM)
Zero-sequence current is unfolded, and a series of intrinsic mode letters of Fourier that are orthogonal, mutually independent, having adaptivity are obtained
Number (Fourier intrinsic band functions, FIBFs)；It is then based on each mode function and defines Fourier-Xi Er
Bert marginal spectrum (Fourier-Hilbert spectrum, FHS), each measuring point zero sequence after failure is further constructed based on marginal spectrum
The instantaneous energy density function of electric current simultaneously forms fault location criterion.
The localization method specifically comprises the following steps:
Step 1: when bus residual voltage value is more prescribed a time limit, the fault wave recording device for being installed on each measuring point of power distribution network opens immediately
It is dynamic, acquire the zero sequence current signal after each measuring point failure in 1/2 power frequency period；
Fault wave recording device entry condition are as follows:
When bus residual voltage value is more prescribed a time limit, the fault wave recording device for being installed on each measuring point of power distribution network starts immediately, record
Stray currents measurement after lower failure in 1/2 power frequency period, finally synthesizes zero sequence current signal；Here voltage out-of-limit value can
It is selected according to distribution actual conditions, generally recognize when bus residual voltage value is more than 0.15 times of bus load voltage value
To break down, each measuring equipment returns zero-sequence current data；
Step 2: FDM decomposition being carried out to collected zero sequence current signal, obtains a series of intrinsic mode letter of Fourier
Number；It is specific as follows:
Step 201: setting x (t) as section [t1,t1+T0] on real value limit signal, indicate the zero sequence current signal；
By this signal period property extend are as follows:
T is the time, and k is periodicity, T0For cycle duration, then have:
Wherein
Fourier expansion formula are as follows:
Wherein:
w0=2 π/T0rad/s
Step 202:
It indicates using complex exponential and (utilizes Euler's formula):
Then in step 201It can further be write as:
Wherein:
ck=ak-jbk,
ThenIt can further express as follows:
Re expression takes real part, wherein analytical function
Step 203:
In order to obtain the intrinsic mode function of one group of parsing, by zT0(t) further it is written as follow form:
Here, by the way of from low frequency toward high frequency sweep (low to high frequency scan, LTH-FS):
...,
Namely:
Wherein N0=0, NM=∞
In order to obtain the mode function of minimal amount, for each above-mentioned i value, from Ni-1+ 1 starts to be appended below two
Condition is until NiValue meets:
(Ni-1+1)≤Ni≤∞
With
Wherein ai(t) and ωi(t)=2 π fi(t) be i-th of intrinsic mode function amplitude and angular frequency；
The M intrinsic mode function decomposition result about real value limit signal x (t) can be obtained according to above step.
Step 3: Fourier-Hilbert marginal spectrum is defined based on each Fourier's intrinsic mode function；
Resulting each Fourier intrinsic mode function FIBF, amplitude a are decomposed for step 2i(t), frequency fi(t)
It is the function of time, therefore can be by { t, fi(t),ai(t) } defining H (f, t) indicates that frequency is f, the moment is width corresponding to t
Value；
Hilbert marginal spectrum is exported similar to from hilbert spectrum, can define Fourier-Xi Er according to the present invention
Bert marginal spectrum:
Step 4: the instantaneous energy density function of each measuring point zero-sequence current after failure is further constructed based on above-mentioned marginal spectrum
And form fault location criterion；
The zero-sequence current instantaneous energy density function of step 4 is defined as:
fMFor the frequency of m-th intrinsic mode function；
The fault location criterion of step 4 are as follows:
It enables
Wherein i represents measuring point label；
If Yi/Yj∈ [1-K, 1+K], then it is assumed that measuring point i, j are ipsilateral in fault point, otherwise it is assumed that failure occur measuring point i,
Between j, K is preset threshold here, generally desirable 0.2.
The present invention is introduced by taking an one-phase earthing failure in electric distribution network as an example below:
The test example is based on the practical distribution network parameters in Jiangsu, constructs on PSCAD/EMTDC emulation platform corresponding imitative
True mode is specifically tested.The whole overview of the 10kV medium voltage distribution network is summarized as follows: altogether including 10 outlets, route
Overall length 65km, wherein cable run overall length reaches 45.6km, and for typical cable-line mixed connection structure, overhead line part further comprises same thick stick
Double back structure.Wherein make somebody a mere figurehead main line model are as follows: JKLYJ-240；Aerial branch line model are as follows: JKLYJ-150；Cable model is main
There are YJV22-3*400, YJV22-3*300, YJV22-3*150.
For convenience of test of heuristics is carried out, chooses two of them Typical Route and shown that topological structure is detailed in Fig. 2 institute
Show.Two measurement circuits are extracted out from 10kV bus, contain buried cable and overhead transmission line structure, closed loop design open loop fortune
Row.Wherein the installation site of current sensor marks in figure clear, i.e. point position in Fig. 2；Draft setting in fault point
Between measuring point 06 and measuring point 07.Fig. 3 illustrates half of power frequency period internal fault point two sides zero-sequence current signal after failure occurs
Figure.
Figure 4 and figure 5 respectively show the instantaneous energy densograms of fault point upstream and downstream, can using criterion of the present invention
Obtain Y7/Y6=0.00 < 0.8, therefore can be determined that failure occurs between measuring point 06 and measuring point 07.
Above simulation results show the validity and practicability of institute's structure Fault Locating Method of the present invention.Illustrate to pass through FDM
Singlephase earth fault spy can effectively be extracted by decomposing the method based on transient state energy density function criterion fault location constructed
Sign judges that position occurs for failure, provides timely, accurate O&M information for operation maintenance personnel, has preferable Practical valence
Value.
It should be noted last that the above specific embodiment is only used to illustrate the technical scheme of the present invention and not to limit it,
Although being described the invention in detail referring to example, those skilled in the art should understand that, it can be to the present invention
Technical solution be modified or replaced equivalently, without departing from the spirit and scope of the technical solution of the present invention, should all cover
In the scope of the claims of the present invention.
Claims (6)
1. a kind of Fault Section Location of Distribution Network based on FDM, which comprises the following steps:
Step 1: when bus residual voltage value is more prescribed a time limit, the fault wave recording device for being installed on each measuring point of power distribution network starts immediately, adopts
Collect the zero sequence current signal after each measuring point failure in 1/2 power frequency period；
Step 2: FDM decomposition being carried out to collected zero sequence current signal, obtains a series of Fourier's intrinsic mode functions；
Step 3: Fourier-Hilbert marginal spectrum is defined based on each Fourier's intrinsic mode function；
Step 4: the instantaneous energy density function of each measuring point zero-sequence current after failure is further constructed based on marginal spectrum and formed therefore
Hinder orientation criterion；
Step 5: providing fault location result in conjunction with network topology structure.
2. as described in claim 1 based on the Fault Section Location of Distribution Network of FDM, which is characterized in that
Fault wave recording device entry condition in step 1 are as follows:
When bus residual voltage value is more prescribed a time limit, the fault wave recording device for being installed on each measuring point of power distribution network starts immediately, records event
Stray currents measurement after barrier in 1/2 power frequency period, finally synthesizes zero sequence current signal；When bus residual voltage value is more than
Think out-of-limit when 0.15 times of bus load voltage value.
3. as described in claim 1 based on the Fault Section Location of Distribution Network of FDM, which is characterized in that
Step 2 specifically comprises the following steps:
Step 201: setting x (t) as section [t1,t1+T0] on real value limit signal, indicate the zero sequence current signal；By this
Extend to signal period property are as follows:
T is the time, and k is periodicity, T0For cycle duration, then have:
Wherein
Fourier expansion formula are as follows:
Wherein:
w0=2 π/T0rad/s
Step 202:
It is indicated using complex exponential:
Then in step 201It can further be write as:
Wherein:
ck=ak-jbk,
ThenIt can further express as follows:
Re expression takes real part, wherein analytical function
Step 203:
In order to obtain the intrinsic mode function of one group of parsing, by zT0(t) further it is written as follow form:
Here, by the way of from low frequency toward high frequency sweep:
Namely:
Wherein N0=0, NM=∞
In order to obtain the mode function of minimal amount, for each above-mentioned i value, from Ni-1+ 1 starts to be appended below two conditions
Until NiValue meets:
(Ni-1+1)≤Ni≤∞
With
Wherein ai(t) and ωi(t)=2 π fi(t) be i-th of intrinsic mode function amplitude and angular frequency；
The M intrinsic mode function decomposition result about real value limit signal x (t) can be obtained according to above step.
4. as claimed in claim 3 based on the Fault Section Location of Distribution Network of FDM, which is characterized in that
The Fourier of step 3-Hilbert marginal spectrum definition mode are as follows:
Resulting each Fourier intrinsic mode function FIBF, amplitude a are decomposed for step 2i(t), frequency fi(t) it is
The function of time, therefore can be by { t, fi(t),ai(t) } defining H (f, t) indicates that frequency is f, the moment is amplitude corresponding to t；
Define Fourier according to the present invention-Hilbert marginal spectrum:
5. as claimed in claim 4 based on the Fault Section Location of Distribution Network of FDM, which is characterized in that
The zero-sequence current instantaneous energy density function of step 4 is defined as:
fMFor the frequency of m-th intrinsic mode function；
The fault location criterion of step 4 are as follows:
It enables
Wherein i represents measuring point label；
If Yi/Yj∈ [1-K, 1+K], then it is assumed that measuring point i, j are ipsilateral in fault point, otherwise it is assumed that failure occur measuring point i, j it
Between, K is preset threshold here.
6. as claimed in claim 5 based on the Fault Section Location of Distribution Network of FDM, which is characterized in that
K takes 0.2.
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Cited By (3)
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|---|---|---|---|---|
| CN110717144A (en) * | 2019-08-19 | 2020-01-21 | 珠海格力电器股份有限公司 | Fault arc detection method, device, terminal and storage medium |
| CN111796165A (en) * | 2020-07-21 | 2020-10-20 | 河海大学 | Power distribution network fault positioning method based on self-adaptive Fourier transform |
| CN112782528A (en) * | 2020-12-31 | 2021-05-11 | 西安理工大学 | Power distribution network fault section positioning method using PMU |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110717144A (en) * | 2019-08-19 | 2020-01-21 | 珠海格力电器股份有限公司 | Fault arc detection method, device, terminal and storage medium |
| CN110717144B (en) * | 2019-08-19 | 2020-09-22 | 珠海格力电器股份有限公司 | Fault arc detection method, device, terminal and storage medium |
| CN111796165A (en) * | 2020-07-21 | 2020-10-20 | 河海大学 | Power distribution network fault positioning method based on self-adaptive Fourier transform |
| CN111796165B (en) * | 2020-07-21 | 2021-10-15 | 河海大学 | Power distribution network fault positioning method based on self-adaptive Fourier transform |
| CN112782528A (en) * | 2020-12-31 | 2021-05-11 | 西安理工大学 | Power distribution network fault section positioning method using PMU |
| CN112782528B (en) * | 2020-12-31 | 2023-07-18 | 西安理工大学 | Power distribution network fault section positioning method by utilizing PMU |
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Application publication date: 20190712 |