CN109239523A - Based on the active power distribution network Fault Locating Method for improving Karrenbauer transformation - Google Patents

Based on the active power distribution network Fault Locating Method for improving Karrenbauer transformation Download PDF

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CN109239523A
CN109239523A CN201810773762.3A CN201810773762A CN109239523A CN 109239523 A CN109239523 A CN 109239523A CN 201810773762 A CN201810773762 A CN 201810773762A CN 109239523 A CN109239523 A CN 109239523A
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karrenbauer
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CN109239523B (en
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姜惠兰
陈娟
贾燕琪
张弛
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Tianjin University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/088Aspects of digital computing
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/086Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
    • Y04S10/52Outage or fault management, e.g. fault detection or location

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  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Theoretical Computer Science (AREA)
  • Locating Faults (AREA)

Abstract

本发明涉及一种基于改进Karrenbauer变换的有源配电网故障定位方法,包括:控制中心获取有源配电网阻抗矩阵,先用标准Karrenbauer变换矩阵对阻抗矩阵对角化处理,得到初步变换矩阵,再计算改进Karrenbauer变换矩阵;将有源配电网划分为若干个区段,利用改进Karrenbauer变换矩阵变换得到α、β、0模电流;本地数据处理装置计算区段α模故障附加电流相角差并发送给控制中心,生成实时的系统状态信息矩阵;控制中心判断各区段是否发生故障。

The invention relates to an active distribution network fault location method based on improved Karrenbauer transformation. , and then calculate the improved Karrenbauer transformation matrix; divide the active distribution network into several sections, and use the improved Karrenbauer transformation matrix to transform the α, β, 0 mode currents; the local data processing device calculates the section α mode fault additional current phase angle The difference is sent to the control center to generate a real-time system status information matrix; the control center judges whether each section fails.

Description

Based on the active power distribution network Fault Locating Method for improving Karrenbauer transformation
Technical field
The technical field of the invention is the fault location of the active power distribution network containing distributed generation resource, in particular to one kind can Consider distribution network line parameter unbalance characteristic, realizes active power distribution network fault location based on Karrenbauer transformation is improved New method.
Background technique
Under the growing tension of world's non-renewable energy, the more serious background of energy-saving and emission-reduction problem, distributed power generation (Distribution Generation, DG) technology has obtained the common concern of people with its exclusive economy and the feature of environmental protection.
Distributed generation technology refer on the basis of bulk power grid power supply capacity of AM access module formula, cleanliness without any pollution compared with Small generating set, is typically mounted near user, such as wind-driven generator, photovoltaic cell, fuel cell.After DG is grid-connected, match Power grid is changed into both ends/multiterminal electric power network from traditional radial single ended power supply supply network.Traditional fault location strategy It is mostly based on the unidirectional characteristics of tidal flow of radial distribution networks, the access of DG changes the structure of power distribution network, the distribution of short circuit current Also huge variation occurs, this just inevitably will affect fault location result.In addition, low and medium voltage distribution network is because no longer adopt Three-phase transposition measure is taken, causes power distribution network three-phase line parameter unbalance, which increases the accurate positionins of active power distribution network failure Difficulty.
Currently, the asymmetry of distribution network line parameter is ignored in the research in relation to the distribution network failure positioning containing DG mostly, Dissymmetric network is directly considered as symmetrical network to handle;And it much studies and does not thoroughly discuss fault point transition resistance In the presence of the influence to positioning, which limits the practicabilities of fault location scheme.In addition, some electrical power distribution network fault location methods, Such as matrix algorithm and intelligent algorithm, that there is also fault location times is longer, can not realize the problem of fault section location rapidly.
Summary of the invention
After accessing DG for power distribution network, the decline of conventional failure locating scheme positional accuracy, low efficiency and power distribution network three The asymmetric problem of phase parameter, the present invention propose a kind of based on the active power distribution network fault location for improving Karrenbauer transformation New method.It the characteristics of feature and fault current of foundation active power distribution network parameter matrix, searches out and is suitable for the distribution that do not replace The phase-model transformation method and fault location criterion of net three-phase network high-precision decoupling, realize the quick essence to the active power distribution network containing DG True fault location.Technical solution is as follows:
A kind of active power distribution network Fault Locating Method based on improvement Karrenbauer transformation, including the following steps:
(1) control centre obtains shown in the form such as formula (1) of active power distribution network impedance matrix Z, Z, first uses standard Karrenbauer transformation matrix does diagonalization processing to impedance matrix, obtains preliminary transformation matrix Y:
Y=K-1ZK (2)
To preliminary transformation matrix Y amendment Karrenbauer matrix K2Diagonalization processing is done, the diagonal of degree of precision is obtained Change matrix λ:
λ=(K2)-1YK2=(KK2)-1Z(KK2) (3)
Wherein:
Enable S=KK2, S is to improve Karrenbauer transformation matrix;
(2) active power distribution network is divided into several sections, and the node of each section and its both ends is marked respectively Number, the three-phase current at each two end node of section of protection device synchronous acquisition and progress at each two end node of section Filtering processing recycles improvement Karrenbauer transformation matrix to convert to obtain α, β, 0 mould electric current;
(3) local data processing unit calculates its failure extra current after taking section both ends α mould electric currentWith quick Fourier transformation obtains section both ends α mould failure extra current phase angle theta1(i)、θ1(j), calculation of sector α mould failure extra current phase Angular difference:
Δθ1(i, j)=θ1(i)-θ1(j)
Gained Δ θ1(i, j) data are sent to control centre by communication, and control centre receives and stores Δ θ1(i, j), it is raw At real-time system status information matrix;
(4) the break down threshold value δ of differentiation of control centre's section takes 7.5 °~8 °, judges first in system status information matrix Whether element value is greater than threshold value, if certain element is lower than this threshold value, illustrates that the section does not break down;If certain element is greater than the threshold Value, then differentiate that the section breaks down;
(5) control centre is detecting and is carrying out troubleshooting after positioning failure immediately, the protection to fault section both ends Device sending action signal, isolated fault.
Compared with prior art, this programme proposes a kind of base on the basis of fully considering distributed generation resource access In improve Karrenbauer transformation active power distribution network fault location new method, reach it is following the utility model has the advantages that
(1) the characteristics of being directed to distribution network line parameter unbalance, based on the phase-model transformation side for improving Karrenbauer transformation The high-precision decoupling of dissymmetric network has may be implemented in method.The transform method calculating process is simple, calculation amount is smaller, decoupling precision It is higher.
(2) on the basis of dissymmetric network high-precision decouples, active power distribution network section fault orientation criterion is derived.This Criterion by transition Resistance Influence, does not meet distribution network parameters actual features, and active power distribution network may be implemented and position rapidly, without adding Directional element is filled, there is higher reliability.
Detailed description of the invention
The equivalent decomposition circuit of Fig. 1 α mould compound sequence network, (a) α mould normal condition;(b) α mould failure additivity
Fig. 2 active power distribution network Fault Locating Method schematic diagram
Fig. 3 power distribution network analogue system figure
Specific embodiment
For the asymmetric actual conditions of power distribution network triphase parameter containing distributed generation resource, the invention proposes based on improvement The active power distribution network fault location new method of Karrenbauer transformation.Power distribution network is first depending on because of line parameter circuit value caused by not replacing It is asymmetric but have the characteristics that parameter impedance matrix central symmetry, to distribution network line impedance matrix progress standard Karrenbauer is converted to increase the sparsity of matrix, provides premise for accurate decomposition;Further preliminary transformation matrix is done Diagonalization is handled to obtain Karrenbauer correction matrix, is decoupled to obtain the achievable power distribution network three-phase high-precision that do not replace Phase mode transformation matrix, i.e., improvement Karrenbauer matrix.On the basis of three-phase network high-precision decouples, pass through theory point α mould failure extra current component phase angle difference after active power distribution network three-phase decouples is analysed, deriving not is had by transition Resistance Influence The criterion of source power distribution network section fault positioning, is realized to the accurate fault location containing distributed power distribution network.The scheme packet Include following steps:
1, the improvement Karrenbauer transformation of dissymmetric network accurate decomposition is realized
Actual low and medium voltage distribution network three-phase conducting wire is often in horizontally or vertically to arrange, the no longer complete phase of distance between three-phase Deng this also results in the asymmetry of system line parameter.Analysis finds that the spread pattern of low and medium voltage distribution network conducting wire makes route Impedance matrix is centrosymmetric the form of battle array:
Because of line parameter circuit value asymmetry caused by not replacing but have the characteristics that parameter impedance matrix central symmetry for power distribution network, Impedance matrix is subjected to standard K arrenbauer transformation to increase the sparsity of matrix, provides premise for accurate decomposition;Herein On the basis of, further diagonalization processing is done to obtain correction matrix to preliminary transformation matrix, and then obtain can be achieved not replace to match The phase mode transformation matrix of power grid three-phase high-precision decoupling, i.e. improvement Karrenbauer matrix.
(1) standard K arrenbauer is converted
Known Karrenbauer transformation matrix is as follows:
For mathematically, the Uncoupled procedure of impedance matrix, that is, seek phase mode transformation matrix S and realize Z pairs of impedance matrix The process of angling is S with formulae express-1ZS=λ.Impedance matrix Z is carried out using standard K arrenbauer transformation matrix preliminary Transformation can obtain:
As it can be seen that for the low and medium voltage distribution network line impedance matrix as shown in formula (1), passing through for form Karrenbauer transformation, the degree of coupling between α mold component and β mold component obtains to weaken to a certain extent.This degree of coupling Reduction will further decrease the complexity of Z decoupling, be advantageously implemented the high-precision decoupling to impedance matrix Z.
(2) Karrenbauer transformation is improved
By formula (3) it is found that the decoupling to finally realize matrix Z, need to only realize matrix Y and decouple, that is to say, that warp It crosses after Karrenbauer tentatively converts, the decoupling problem of Z can be further converted to the decoupling problem of Y: seek phase mode transformation matrix K2Realize the diagonalization of matrix Y.Mathematical expression is as follows:
(K2)-1YK2=λ (5)
To modulus transformation matrix K2, start with first from solution eigenvalue λ:
Characteristic value can be acquired by formula (6):
In this way, the phase mode transformation matrix of Y are as follows:
In summary transformation twice, available:
Therefore, impedance matrix Z has just obtained the diagonalization of degree of precision by above-mentioned transformation.New phase mode transformation matrix are S=KK2, K2It can be regarded as the amendment to original Karrenbauer transformation matrix, referred to as amendment Karrenbauer matrix. New phase mode transformation matrix S=KK2Referred to as improve Karrenbauer transformation matrix.
2, based on the power distribution network section fault orientation criterion for improving Karrenbauer transformation
(1) when internal fault α mould network failure extra current phase angle difference
By principle of stacking it is found that the equivalent sequence diagrams of α mould can be decomposed into normal condition and failure additivity two parts, point Not as shown in Fig. 1 (a), (b), wherein the reference direction and normal current of regulation failure extra currentDirection it is identical.
It can be with calculation of sector both ends failure extra current according to Fig. 1 (b) are as follows:
In formula:
Because the parameter of route is equally distributed, lumped parameter along routeIt can be expressed as Form, Z indicate the impedance of route unit length.Substituting into formula (11) final finishing can obtain:
It can deduce the phase angle difference of failure extra current are as follows:
According to formula (13) it is found that for α lay wire network, when troubles inside the sample space occurs, the phase angle of failure extra current Difference is 180 °.
(2) when external fault α mould network failure extra current phase angle difference
When breaking down outside section, the section first, last both ends are identical by electric current, so α mould failure is additional at this time The phase angle difference of electric current is 0 °.
Comprehensive front analysis is it is found that the phase angle difference of α mould failure extra current is 180 ° when intra-segment breaks down; When breaking down outside section, the phase angle difference of α mould failure extra current is 0 °.
In view of measurement error that may be present and the calculating error of phase-model transformation in practice, to be set for failure criterion One threshold value δ just assert that the section breaks down when fault component current phase angle difference is greater than the threshold value.Meter and Current Mutual Inductance The angle error of device, general load are selected by 10% error curve, are thought of as 7 °;Calculating error can consider by 0.5 °~1 °.Institute 7.5 °~8 ° are generally taken with the threshold value of criterion.
Therefore, shown in active power distribution network fault location criterion such as formula (14):
3, influence of the transition resistance to fault location
The metallicity failure that power distribution network occurs is seldom, and short dot has transition resistance mostly.For the network after phase-model transformation For, what transition resistance influenced is additional impedance.So transition resistance for α mould, can only change the value of additional impedance.By Formula (13) is it is found that Δ θ1(i, j)=arg (- k2/k1), it is unrelated with transition resistance.So being based on α mould failure extra current phase angle The failure criterion of difference is not influenced by transition resistance.
In order to verify the validity of proposed fault location strategy herein, asymmetrical three-phase active power distribution network is chosen herein and is calculated Example, as shown in Figure 3.Corresponding simulation model has been built in Matlab/Simulink.
Line impedance matrix are as follows:
(1) impedance matrix decouples
Impedance matrix is decoupled using symmetrical component method, as a result as follows:
Impedance matrix is decoupled using Karrenbauer transformation is improved, as a result as follows:
Compare above two decoupling as a result, it has been found that: for parameter unbalance matrix, symmetrical component method weakens coupling journey The ability of degree is smaller, and mentions improve the impedance matrix decoupling that Karrenbauer transformation is then able to achieve degree of precision herein.
(2) fault location emulates
Table 1 is mentions the Fault Locating Method based on improvement Karrenbauer transformation according to this paper, in different sections, no With the simulation scenarios in the case of transition resistance.Comparison whether exists it is found that when different types of faults occur for different sections Transition resistance, mentioned Fault Locating Method can realize accurate fault section location herein.
Table 1 is based on the fault location result for improving Karrenbauer transformation
When transition resistance value difference, when section 3 breaks down, the section is based on the α for improving Karrenbauer transformation The value of modal transformation based on fault component current phase angle difference is as shown in table 2.As seen from table, when transition resistance difference, fault component phase angle difference It is worth identical, the presence of transition resistance and value have no influence to mentioned Fault Locating Method herein, with front theoretical analysis result Unanimously.
Fault component current phase angle difference (unit/0) when 2 difference transition resistance of table

Claims (1)

1.一种基于改进Karrenbauer变换的有源配电网故障定位方法,包括下列步骤:1. An active distribution network fault location method based on improved Karrenbauer transformation, comprising the following steps: (1)控制中心获取有源配电网阻抗矩阵Z,Z的形式如式(1)所示,先用标准Karrenbauer变换矩阵对阻抗矩阵做对角化处理,得到初步变换矩阵Y:(1) The control center obtains the impedance matrix Z of the active distribution network. The form of Z is shown in formula (1). First, the standard Karrenbauer transformation matrix is used to diagonalize the impedance matrix to obtain the preliminary transformation matrix Y: Y=K-1ZK (2)Y=K -1 ZK (2) 对初步变换矩阵Y用修正Karrenbauer矩阵K2做对角化处理,得到较高精度的对角化矩阵λ:The initial transformation matrix Y is diagonalized with the modified Karrenbauer matrix K 2 to obtain a higher-precision diagonalized matrix λ: λ=(K2)-1YK2=(KK2)-1Z(KK2) (3)λ=(K 2 ) -1 YK 2 =(KK 2 ) -1 Z(KK 2 ) (3) 其中:in: 令S=KK2,S即为改进Karrenbauer变换矩阵。Let S=KK 2 , S is the improved Karrenbauer transformation matrix. (2)将有源配电网划分为若干个区段,并分别对各个区段及其两端的节点进行标号,各个区段两端节点处的保护测量装置同步采集各个区段两端节点处的三相电流并进行滤波处理,再利用改进Karrenbauer变换矩阵变换得到α、β、0模电流;(2) Divide the active distribution network into several sections, and label each section and the nodes at both ends thereof. The protection measuring devices at the nodes at both ends of each section synchronously collect the data at the nodes at both ends of each section. The three-phase current is filtered and processed, and then the α, β, 0 mode currents are obtained by transforming the improved Karrenbauer transformation matrix; (3)本地数据处理装置取区段两端α模电流后计算其故障附加电流用快速傅里叶变换得到区段两端α模故障附加电流相角θ1(i)、θ1(j),计算区段α模故障附加电流相角差:(3) The local data processing device calculates the additional fault current after taking the α-mode current at both ends of the section Use fast Fourier transform to obtain the additional current phase angles θ 1 (i) and θ 1 (j) of the α-mode fault at both ends of the section, and calculate the additional current phase angle difference of the α-mode fault in the section: Δθ1(i,j)=θ1(i)-θ1(j)Δθ 1 (i,j)=θ 1 (i)-θ 1 (j) 所得Δθ1(i,j)数据通过通信发送给控制中心,控制中心接收并存储Δθ1(i,j),生成实时的系统状态信息矩阵;The obtained Δθ 1 (i, j) data is sent to the control center through communication, and the control center receives and stores Δθ 1 (i, j) to generate a real-time system state information matrix; (4)控制中心区段发生故障判别的阈值δ取7.5°~8°,判断系统状态信息矩阵中元素值是否大于阈值,若某元素低于这个阈值,说明该区段未发生故障;若某元素大于该阈值,则判别该区段发生故障;(4) The threshold value δ of the fault judgment of the control center section is 7.5°~8°, and it is judged whether the element value in the system state information matrix is greater than the threshold value. If the element is greater than the threshold, it is judged that the segment is faulty; (5)控制中心在检测到并定位故障后立即进行故障处理,向故障区段两端的保护装置发送动作信号,隔离故障。(5) After the control center detects and locates the fault, it immediately handles the fault, and sends action signals to the protection devices at both ends of the fault section to isolate the fault.
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