CN112946422A - Power distribution network line parameter identification method considering PMU measurement outliers - Google Patents

Power distribution network line parameter identification method considering PMU measurement outliers Download PDF

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CN112946422A
CN112946422A CN202110147426.XA CN202110147426A CN112946422A CN 112946422 A CN112946422 A CN 112946422A CN 202110147426 A CN202110147426 A CN 202110147426A CN 112946422 A CN112946422 A CN 112946422A
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measurement
distribution network
data
group
power distribution
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CN112946422B (en
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夏明超
孙金平
陈奇芳
李鹏
郭晓斌
白浩
徐全
于力
何思名
林心昊
林跃欢
刘胤良
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Beijing Jiaotong University
Research Institute of Southern Power Grid Co Ltd
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Research Institute of Southern Power Grid Co Ltd
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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
    • G01R31/081Locating 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
    • 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
    • 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/70Smart grids as climate change mitigation technology in the energy generation sector
    • 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • 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
    • Y04S10/22Flexible AC transmission systems [FACTS] or power factor or reactive power compensating or correcting units

Abstract

The invention provides a power distribution network line parameter identification method considering PMU measurement outliers. The method comprises the following steps: arranging PMU devices at two ends of a power distribution network line to be measured, measuring and accumulating multi-time discontinuous surface measurement through the PMU devices, randomly selecting a certain quantity of all measured data as a group, and selecting multiple groups; calculating the line parameter value and the measurement residual error of the power distribution network of each group by using a total least square method; eliminating the measurement with large residual error, and calculating the sum of the line parameter value and the measurement residual error by using the total least square method; and determining the line parameters of the power distribution network corresponding to the group of measurement data with the minimum sum of the measurement residuals as the line parameter values of the power distribution network to be measured. The method realizes the combined use of the TLS method and the LTS method, can resist the measured outlier, the coefficient matrix error and the observed data error, and realizes the effective identification of the line parameters of the power distribution network under the condition of measuring the outlier and the error.

Description

Power distribution network line parameter identification method considering PMU measurement outliers
Technical Field
The invention relates to the technical field of power distribution network line parameter identification, in particular to a power distribution network line parameter identification method considering PMU (phasor measurement Unit) measurement outliers.
Background
In a power distribution network, line parameters are basic data of power distribution network state estimation, fault location, reactive power optimization and the like, but aging or environmental factors bring about changes of the line parameters, so that research on line parameter identification based on relevant measurement is very important. However, PMU (phasor measurement unit) measurements may have outliers, i.e. deviate from the data of most measurements. Therefore, PMU measurements with outliers reduce the accuracy of power distribution network line parameter identification.
The prior art parameter identification scheme includes: in the power distribution network, TLS (total least square) method is adopted to realize the identification of the line parameters of the power distribution network by combining PMU measurement and AMI (advanced measurement in front of measurement system) measurement; alternatively, a robust least squares method of Huber estimation and median estimation is employed to counter the effects of metrology outliers on line parameter identification. In the power transmission network, a chi-square detection method is adopted to detect and measure outliers in some schemes, so that the estimation accuracy is improved; some schemes use an LTS (least squares) method to identify the line parameters.
The above-mentioned line parameter identification technology in the prior art has the following disadvantages: in the existing method, the TLS method can consider the line parameter identification under the condition of coefficient matrix error and observation data error, but can not process the measured outlier. The LTS method adopted in the existing method can process the measured outliers, but the coefficient matrix error is not considered.
Disclosure of Invention
The embodiment of the invention provides a power distribution network line parameter identification method considering PMU measurement outliers, so as to effectively identify line parameters of a power distribution network.
In order to achieve the purpose, the invention adopts the following technical scheme.
A power distribution network line parameter identification method considering PMU measurement outliers comprises the following steps:
arranging PMU devices at two ends of a power distribution network line to be measured, measuring and accumulating multi-time section measurement by the PMU devices within a certain time period, randomly selecting measurement data of a plurality of time sections from the measurement data of all time sections as a group of data, and selecting a plurality of groups of data;
calculating the line parameter value and the measurement residual error of the power distribution network corresponding to each group of measurement data by using a total least square method;
under the condition of line parameter values corresponding to each group of data, removing measurement with large residual errors, and recalculating the sum of the line parameter values and the measurement residual errors of the power distribution network corresponding to each group of measurement data by using a total least square method;
and comparing the sum of the measurement residual errors corresponding to each group of measurement data, and determining the line parameter of the power distribution network corresponding to the group of measurement data with the minimum sum of the measurement residual errors as the line parameter value of the power distribution network to be measured.
Preferably, the two ends of the power distribution network line to be measured are provided with PMU devices, the PMU devices measure and accumulate multi-time discontinuous measurement in a certain period of time, measurement data of a plurality of time sections are arbitrarily selected from measurement data of all time sections as a group of data, and a plurality of groups of data are selected, including:
arranging PMU devices at two ends of a power distribution network line to be measured, measuring and accumulating n time section measurements by the PMU devices in a certain time period, measuring node voltage phasor measurement by the PMU devices, and measuring current phasor measurement of a branch connected with the node;
and randomly selecting the measurement data of p time sections from the measurement data of n time sections as a group of measurement data, wherein p is less than n, the group of measurement data comprises the current phasor measurement and the voltage phasor measurement of p time sections, and K groups of measurement data are selected.
Preferably, the calculating the line parameter value and the measurement residual error of the power distribution network corresponding to each set of measurement data by using a total least square method includes:
writing the equation of ohm's law of the power distribution network line into a linear equation:
AX=Y
in the formula: a represents a current phasor measurement matrix of a plurality of time sections, namely a coefficient matrix, Y represents a voltage drop phasor matrix of a plurality of time sections, namely observation data, and X represents line parameter resistance and reactance;
aiming at a group of measured data, the TLS method is adopted to realize the line parameter identification of the power distribution network through singular value decomposition:
Figure BDA0002931138260000031
in the formula: sigmaT+1To expand the matrix [ A, Y]Minimum singular value of, XTLSThe resistance R and the reactance X comprise power distribution network line parameters;
each time section corresponds to a measurement residual error, and the measurement residual error of the ith time section
Figure BDA0002931138260000032
The calculation formula of (2) is as follows:
Figure BDA0002931138260000033
aifor the current phasor measurement data of the ith time section, yiVoltage drop phasor data for the ith time slice.
Preferably, under the condition of the line parameter value corresponding to each group of data, the measurement with large residual error is removed, and the sum of the line parameter value and the measurement residual error of the power distribution network corresponding to each group of measurement data is recalculated by using a total least square method, further comprising:
under the condition of line parameter values corresponding to a group of measurement data, sorting the measurement residual errors of n time sections from small to large, eliminating n-h measurement data with large residual errors, and processing each group of measurement data by adopting the same method;
and (3) calculating the line parameters corresponding to each group of measured data by adopting the TLS method again according to the formulas 1 and 2, and calculating the sum of the measurement residual errors of h time sections in each group of measured data.
Preferably, the comparing the sum of the measurement residuals corresponding to each measurement data set, and determining the line parameter of the power distribution network corresponding to the measurement data set with the smallest sum of the measurement residuals as the line parameter value of the power distribution network to be measured includes:
and comparing the sum of the measurement residual errors corresponding to each group of measurement data, determining the line parameter corresponding to the group of measurement data with the minimum sum of the measurement residual errors, and determining the line parameter corresponding to the group of measurement data with the minimum sum of the measurement residual errors as the line parameter value of the power distribution network to be measured.
According to the technical scheme provided by the embodiment of the invention, the method provided by the embodiment of the invention realizes the combined use of the TLS method and the LTS method, can resist the measured outliers, the coefficient matrix errors and the observation data errors, and realizes the effective identification of the line parameters of the power distribution network under the condition that the measured outliers and the outliers exist.
Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
Fig. 1 is a processing flow chart of a power distribution network line parameter identification method considering PMU measurement outliers according to an embodiment of the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
As used herein, the singular forms "a", "an", "the" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms "comprises" and/or "comprising," when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. It will be understood that when an element is referred to as being "connected" or "coupled" to another element, it can be directly connected or coupled to the other element or intervening elements may also be present. Further, "connected" or "coupled" as used herein may include wirelessly connected or coupled. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.
It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the prior art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
For the convenience of understanding the embodiments of the present invention, the following description will be further explained by taking several specific embodiments as examples in conjunction with the drawings, and the embodiments are not to be construed as limiting the embodiments of the present invention.
The TLS method can realize line parameter identification under the condition of considering coefficient matrix errors and observation data errors, and the LTS method can resist measured outliers in line parameter identification. The method combines the TLS method and the LTS method, retains the advantages of two algorithms, can resist measurement outliers, coefficient matrix errors and observation data errors, and realizes the identification of the power distribution network line parameters.
A processing flow chart of the method for identifying parameters of a power distribution network line considering PMU measurement outliers according to the embodiment of the present invention is shown in fig. 1, and includes the following processing steps:
and S1, arranging PMU devices at two ends of a power distribution network line to be measured, and measuring and accumulating n time section measurements by the PMU devices.
According to ohm's law:
IZ=U1-U2=ΔU
wherein I represents the current measurement of the line, Z represents the line parameters resistance and reactance, U1Represents the line first voltage measurement, U2Represents the line end voltage measurement and Δ U represents the voltage drop of the line. And under the condition that PMU devices are respectively installed at two ends of a power distribution network line, measuring the current phasor and measuring the voltage phasor of the accumulated multi-time discontinuous surface.
The PMU device is used for measuring the voltage phasor measurement of a node and the current phasor measurement of a branch connected with the node.
And S2, selecting a certain amount of measurement data.
In the n time section measurement data, the measurement data of p (p < n) time sections are arbitrarily selected as a group of measurement data, the group of measurement data comprises the current phasor measurement and the voltage phasor measurement of the p time sections, and K groups are selected.
And S3, calculating a line parameter value and a measurement residual error corresponding to each group of measurement data by using a total least square method.
And identifying the line parameters of the K groups of measured data by adopting a TLS (transport layer security) method respectively to obtain the line parameter value and the measured residual error corresponding to each group of measured data.
Writing the equation of ohm's law of the power distribution network line into a linear equation:
AX=Y
in the formula: a represents a current phasor measurement matrix, namely a coefficient matrix, of a plurality of time sections, Y represents a voltage drop phasor matrix, namely observation data, of a plurality of time sections, and X represents line parameter resistance and reactance.
Aiming at a group of measured data, the TLS method is adopted to realize the line parameter identification of the power distribution network through singular value decomposition:
Figure BDA0002931138260000071
in the formula: sigmaT+1To expand the matrix [ A, Y]Minimum singular value of, XTLSIncluding the resistance R and reactance X of the distribution network line parameters.
Each time section corresponds to a measurement residual error, and the measurement residual error of the ith time section
Figure BDA0002931138260000074
The calculation formula of (2) is as follows:
Figure BDA0002931138260000072
aifor the current phasor measurement data of the ith time section, yiVoltage drop phasor data for the ith time slice.
S4, measuring large rejection error
Under the condition of line parameter values corresponding to a group of measurement data, sorting the measurement residual errors of n time sections from small to large, and removing n-h measurement data with large residual errors, for example, sorting as follows:
Figure BDA0002931138260000073
and eliminating the measurement with large residual error by adopting the same method for the line parameter values corresponding to each group of data.
S5, recalculating line parameters and errors
And (3) calculating the line parameters corresponding to each group of measured data by adopting the TLS method again according to the formulas 1 and 2, and calculating the sum of the measurement residual errors of h time sections in each group of measured data.
S6, obtaining line parameter values
And comparing the sum of the measurement residual errors corresponding to each group of measurement data, determining the line parameter corresponding to the group of measurement data with the minimum sum of the measurement residual errors, and determining the line parameter corresponding to the group of measurement data with the minimum sum of the measurement residual errors as the line parameter value of the power distribution network to be measured.
Therefore, the scheme realizes the identification of the power distribution network line parameters according to the following objective functions:
Figure BDA0002931138260000081
in the formula: h belongs to [ n/2, n ], and is an integer.
In summary, the method of the embodiment of the present invention realizes the combined use of the TLS method and the LTS method, retains the advantages of the two methods, can combat the measurement outliers, the coefficient matrix errors, and the observation data errors, and can effectively identify the line parameters of the power distribution network in the case of the measurement errors and outliers.
Those of ordinary skill in the art will understand that: the figures are merely schematic representations of one embodiment, and the blocks or flow diagrams in the figures are not necessarily required to practice the present invention.
From the above description of the embodiments, it is clear to those skilled in the art that the present invention can be implemented by software plus necessary general hardware platform. Based on such understanding, the technical solutions of the present invention may be embodied in the form of a software product, which may be stored in a storage medium, such as ROM/RAM, magnetic disk, optical disk, etc., and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method according to the embodiments or some parts of the embodiments.
The embodiments in the present specification are described in a progressive manner, and the same and similar parts among the embodiments are referred to each other, and each embodiment focuses on the differences from the other embodiments. In particular, for apparatus or system embodiments, since they are substantially similar to method embodiments, they are described in relative terms, as long as they are described in partial descriptions of method embodiments. The above-described embodiments of the apparatus and system are merely illustrative, and the units described as separate parts may or may not be physically separate, and the parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of the present embodiment. One of ordinary skill in the art can understand and implement it without inventive effort.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (5)

1. A power distribution network line parameter identification method considering PMU measurement outliers is characterized by comprising the following steps:
arranging PMU devices at two ends of a power distribution network line to be measured, measuring and accumulating multi-time section measurement by the PMU devices within a certain time period, randomly selecting measurement data of a plurality of time sections from the measurement data of all time sections as a group of data, and selecting a plurality of groups of data;
calculating the line parameter value and the measurement residual error of the power distribution network corresponding to each group of measurement data by using a total least square method;
under the condition of line parameter values corresponding to each group of data, removing measurement with large residual errors, and recalculating the sum of the line parameter values and the measurement residual errors of the power distribution network corresponding to each group of measurement data by using a total least square method;
and comparing the sum of the measurement residual errors corresponding to each group of measurement data, and determining the line parameter of the power distribution network corresponding to the group of measurement data with the minimum sum of the measurement residual errors as the line parameter value of the power distribution network to be measured.
2. The method according to claim 1, wherein the PMU device is provided at two ends of the distribution network to be measured, the PMU device measures and accumulates multiple time section measurements in a certain period of time, the measured data of multiple time sections are arbitrarily selected from the measured data of all time sections as a group of data, and multiple groups of data are selected, and the method comprises the following steps:
arranging PMU devices at two ends of a power distribution network line to be measured, measuring and accumulating n time section measurements by the PMU devices in a certain time period, measuring node voltage phasor measurement by the PMU devices, and measuring current phasor measurement of a branch connected with the node;
and randomly selecting the measurement data of p time sections from the measurement data of n time sections as a group of measurement data, wherein p is less than n, the group of measurement data comprises the current phasor measurement and the voltage phasor measurement of p time sections, and K groups of measurement data are selected.
3. The method of claim 2, wherein the calculating the line parameter values and the measurement residuals of the distribution network corresponding to each set of measurement data using a total least squares method comprises:
writing the equation of ohm's law of the power distribution network line into a linear equation:
AX=Y
in the formula: a represents a current phasor measurement matrix of a plurality of time sections, namely a coefficient matrix, Y represents a voltage drop phasor measurement matrix of a plurality of time sections, namely observation data, and X represents line parameter resistance and reactance;
aiming at a group of measured data, the TLS method is adopted to realize the line parameter identification of the power distribution network through singular value decomposition:
Figure FDA0002931138250000021
in the formula: sigmaT+1To expand the matrix [ A, Y]Minimum singular value of, XTLSThe resistance R and the reactance X comprise power distribution network line parameters;
each time section corresponds to a measurement residual error, and the measurement residual error of the ith time section
Figure FDA0002931138250000023
The calculation formula of (2) is as follows:
Figure FDA0002931138250000022
aifor the current phasor measurement data of the ith time section, yiVoltage drop phasor data for the ith time slice.
4. The method according to claim 3, wherein under the condition of the line parameter value corresponding to each group of data, the measurement with large residual error is eliminated, and the sum of the line parameter value and the measurement residual error of the power distribution network corresponding to each group of measurement data is recalculated by using a total least square method, further comprising:
under the condition of line parameter values corresponding to a group of measurement data, sorting the measurement residual errors of n time sections from small to large, eliminating n-h measurement data with large residual errors, and processing the line parameter values corresponding to each group of measurement data by adopting the same method;
and (3) calculating the line parameters corresponding to each group of measured data by adopting the TLS method again according to the formulas 1 and 2, and calculating the sum of the measurement residual errors of h time sections in each group of measured data.
5. The method according to claim 4, wherein the comparing the sum of the measurement residuals corresponding to each measurement data set, and determining the line parameter of the distribution network corresponding to the measurement data set with the smallest sum of the measurement residuals as the line parameter value of the distribution network to be measured comprises:
and comparing the sum of the measurement residual errors corresponding to each group of measurement data, determining the line parameter value corresponding to the group of measurement data with the minimum sum of the measurement residual errors, and determining the line parameter corresponding to the group of measurement data with the minimum sum of the measurement residual errors as the line parameter value of the power distribution network to be measured.
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