CN101267116B - An automatic positioning method for power quality interference source of distribution grid - Google Patents

Abstract

The present invention provides an automatic location method of distribution network power quality disturbance source, including: (A) constructing a network power quality monitor system in the distribution network; (B) constructing a rooted tree of the distribution system according to the topology of the distribution network; (C) establishing a system covering matrix according to the position relation between each node of the rooted tree and the each power quality monitor device; (D) establishing a system direction matrix according to the judging result of disturbance direction of each PQM when the disturbance is happened; (E) processing primary disturbance source location operation according to the system cover matrix and the system direction matrix. The invention provides a disturbance source location by itself, a disturbance source location method of the distribution network power quality having high efficiency.

Description

A kind of automatic method for power quality interference source of distribution grid

Technical field

The present invention relates to the automatic positioning method in electrical energy power quality disturbance source in a kind of power system network.

Background technology

Current, research focus relevant with the quality of power supply in the electric power system mainly concentrates on the following aspects: the structure of the identification processing of quality of power supply signal, quality of power supply evaluation index, equipment for monitoring power quality and system, quality of power supply control etc.Yet, the location technology of disturbing source was also very important after quality of power supply incident took place, not only help responsibility between power department and the user to judge and the reasonable solution of dispute, and power department is formulated quality of power supply mitigation and control strategy has important directive function.

Research about electrical energy power quality disturbance source location method is less, mainly has two class methods:

1. based on the disturbing source direction determining method of single measuring point.According to the single equipment for monitoring power quality of arranging in the electric power system (PQM), the disturbing source direction determining algorithm of research variety of event type correspondence.For example, when voltage dip incident or harmonic wave incident take place in the electric power system, adopt based on power of disturbance and disturbance energy, based on methods such as equiva lent impedance reals part of symbol, can realize disturbance event occur in monitoring point forward direction or back to judgement.

The shortcoming of this method is: can only determine the front and rear direction of disturbing source with respect to this monitoring point, when in electric power networks quality of power supply incident taking place, can not really realize the accurate location (as navigating to concrete certain bar circuit) of disturbing source.

2. based on the decision method of perturbation direction related table.According to the deployment scenarios of network configuration in the system and PQM, the perturbation direction related table in the pre-antecedent write through system between disturbing source position and each PQM.In when, in the system actual disturbance event taking place when, carry out the judgement of perturbation direction according to the measurement data of each monitoring point, and compare with this related table, can realize the location of disturbing source.

The shortcoming of this method is: must rely on the artificial location that more just can carry out disturbing source, inefficiency; Can not carry out the automated programming computational analysis of computer, also just can't realize the automatic location of disturbing source; When having the fuzzy object disturbing source in some cases, can not realize accurate location.

Summary of the invention

For overcome existing distribution network electric energy quality disturbing source localization method according to manually position, efficient is low, can't realize the deficiency of location automatically, the invention provides a kind of disturbing source location, automatic method for power quality interference source of distribution grid that efficient is high of carrying out automatically.

The technical solution adopted for the present invention to solve the technical problems is:

The automatic accurate positioning method in a kind of electrical energy power quality disturbance source, described automatic accurate positioning method comprises:

(A) the networked electric energy quality monitoring system of Jian Liing: equipment for monitoring power quality PQM is installed in the circuit of radial pattern distribution system, described PQM all with this zone quality of power supply administrative center high-speed communication, and send the real-time Monitoring Data or the analysis result of each electric energy quality monitoring point to administrative center;

(B), make up a rooted tree structure chart commonly used in power system analysis, and identify the deployment scenarios of each PQM in the system according to known distribution system topological structure;

(C) set up system and cover matrix, described system covers matrix A _{L * M}For:

Wherein, L is the number of nodes in the rooted tree, also is the line segment quantity in the system; M is the PQM quantity of actual disposition in the system, matrix A _{L * M}Each data a _IjThe position of j PQM layout points and i node relation if Li is positioned at the back to the zone of Mj, then makes a in the expression system _Ij=+1; If Li is positioned at the forward region of Mj, then make a _Ij=-1,

Described Mj's is back to the zone, is meant that j PQM arranges the child node zone of node and this node; The forward region of described Mj is meant and removes the back to extra-regional other node regions;

(D) set up the system orientation matrix, described system orientation matrix B _{M * 1}For:

Wherein, matrix B _{M * 1}Each data b _jWhen disturbance event took place in i line segment position in the expression supposing the system, the disturbing source direction determining result of j PQM if be judged to be the back to disturbance, promptly determined disturbing source and is positioned at the back to the zone of j PQM, then makes b _j=+1; Otherwise,, then make b if be judged to be the forward direction disturbance _j=-1;

(E) aforesaid system covering matrix and system orientation matrix are carried out simple matrix multiplication operation, obtain matrix of consequence C _{L * 1}For:

$C_{L\×1}=A_{L\×M}*B_{M\×1}=\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c}_1\\ c_2\\ \·\\ \·\\ \·\\ c_i\end{array}\right]$

Each element c in the described matrix of consequence _iValue and electric power networks topological structure and PQM arrange related; According to the element value of matrix of consequence,, then confirm this row element c if the element number of the PQM quantity M that element value equals to arrange in the system among the matrix of consequence C is 1 just _iCorresponding line segment Li is the electrical energy power quality disturbance source.

As preferred a kind of scheme: in described step (E), if the element number of the PQM quantity M that element value equals to arrange in the system among the matrix of consequence C is greater than 1, then have fuzzy in the ecbatic matrix, disturbing source is present among the line segment of described several element correspondences, enters next step;

Described automatic accurate positioning method also comprises:

(F) if item is blured in the judgement in the step (E), corresponding line segment place is arranged corresponding virtual PQM, and in system's rooted tree, newly-increased virtual PQM is write corresponding sequence number; According to the parameter information of Ohm's law, Kirchhoff's law and distribution line, realize that the quantity of state of not arranging the PQM node calculates;

(G) make up expansion and cover matrix and propagation direction matrix: according to the new system's rooted tree structure behind the defining virtual PQM in (F) step, the constructing system expansion covers matrix and system extension direction matrix:

(G1) the system extension covering matrix A that structure is new ' _{L * M '}For:

Wherein, M ' is the quantity summation of the PQM and the middle virtual PQM that defines of step (F) of actual disposition in the system, expansion covering matrix A ' _{L * M '}Than covering matrix A _{L * M}The virtual PQM number that the columns that has more equals to increase in the rooted tree;

(G2) make up new system extension direction matrix B ' _{M ' * 1}For:

Equally, the propagation direction matrix B ' _{M ' * 1}Analogy to matrix B ' _{M * 1}The virtual PQM number that the line number that has more equals to increase in the rooted tree;

(G3) the accurate location computing of disturbing source: aforesaid system extension covering matrix and system extension direction matrix are carried out matrix multiplication operation, and matrix of consequence C ' is expanded _{L * 1}For:

${C^{\′}}_{L\×1}={A^{\′}}_{L\×M^{\′}}*{B^{\′}}_{M^{\′}\×1}=\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c^{\′}}_1\\ {c^{\′}}_2\\ \·\\ \·\\ \·\\ {c^{\′}}_i\end{array}\right]$

Described spreading result Matrix C ' _{L * 1}In, guarantee that the element number that element value equals actual arrangement PQM and virtual PQM quantity summation M ' is 1 just, then confirm this row element c ' _iCorresponding line segment Li is the electrical energy power quality disturbance source.

As preferred another kind of scheme: described step (B) may further comprise the steps:

(B1) adopt each node to store the method for a distribution line segment, this network topology structure is configured to the rooted tree structure, wherein each node ID is consistent with corresponding line segment sequence number in the topological diagram;

(B2) node of configuration PQM in the system is distinguished with the node that does not dispose PQM, and identified for each PQM volume sequence number.

Technical conceive of the present invention is: can according to system topology and PQM deployment scenarios, utilize simple defined matrix and computing in the radial pattern distribution system, realize that electrical energy power quality disturbance is derived from moving pinpoint purpose.

Method of the present invention relates generally to the definition and the computing of matrix, and algorithm is simple, is easy to computer programming and realizes, for the stronger practical significance of realization tool of quality of power supply diagnostic function in the networked electric energy quality monitoring system.

As there being fuzzy in the matrix of consequence, disturbing source is present among the line segment of described several element correspondences, Xin Zeng virtual PQM node then, according to Ohm's law, the parameter information of Kirchhoff's law and distribution line calculates, after obtaining node electric state amount, according to step (D) in consistent electrical energy power quality disturbance source side based on single PQM to decision algorithm, can judge the front and back relative position relation between disturbing source and this virtual PQM node, and constructing system expansion covering matrix and system extension direction matrix, can accurately locate the electrical energy power quality disturbance source.

Beneficial effect of the present invention mainly shows: 1, carry out disturbing source location, efficient height automatically; 2, be present in several candidates' the line segment for disturbing source, still can not determine the situation of concrete line segment, can effectively get rid of fuzzy, accurately locate.

Description of drawings

Fig. 1 is the topological structure of a radial pattern distribution system;

Fig. 2 is the rooted tree structure that makes up according to system topology figure and PQM deployment scenarios among the present invention;

Fig. 3 is among the present invention behind the defining virtual PQM, the system's rooted tree structure that rebuilds;

Fig. 4 is the schematic diagram of method of the present invention.

Embodiment

Below in conjunction with accompanying drawing the present invention is further described.

With reference to Fig. 1～Fig. 4, the automatic accurate positioning method in a kind of electrical energy power quality disturbance source, described automatic accurate positioning method comprises: (A) the networked electric energy quality monitoring system of Jian Liing: equipment for monitoring power quality PQM is installed in the circuit of radial pattern distribution system, described PQM all with this zone quality of power supply administrative center high-speed communication, and send the real-time Monitoring Data or the analysis result of each electric energy quality monitoring point to administrative center;

(B), make up a rooted tree structure chart commonly used in power system analysis, and identify the deployment scenarios of each PQM in the system according to known distribution system topological structure;

(C) set up system and cover matrix, described system covers matrix A _{L * M}For:

Wherein, L is the number of nodes in the rooted tree, also is the line segment quantity in the system; M is the PQM quantity of actual disposition in the system, matrix A _{L * M}Each data a _IjThe position of j PQM layout points and i node relation if Li is positioned at the back to the zone of Mj, then makes a in the expression system _Ij=+1; If Li is positioned at the forward region of Mj, then make a _Ij=-1, described Mj's is back to the zone, is meant that j PQM arranges the child node zone of node and this node; The forward region of described Mj is meant and removes the back to extra-regional other node regions;

(D) set up the system orientation matrix, described system orientation matrix B _{M * 1}For:

Wherein, matrix B _{M * 1}Each data b _jWhen disturbance event took place in i line segment position in the expression supposing the system, the disturbing source direction determining result of j PQM if be judged to be the back to disturbance, promptly determined disturbing source and is positioned at the back to the zone of j PQM, then makes b _j=+1; Otherwise,, then make b if be judged to be the forward direction disturbance _j=-1;

(E) aforesaid system covering matrix and system orientation matrix are carried out simple matrix multiplication operation, obtain matrix of consequence C _{L * 1}For:

$C_{L\×1}=A_{L\×M}*B_{M\×1}=\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c}_1\\ c_2\\ \·\\ \·\\ \·\\ c_i\end{array}\right]$

Each element c in the described matrix of consequence _iValue and electric power networks topological structure and PQM arrange related; According to the element value of matrix of consequence,, then confirm this row element c if the element number of the PQM quantity M that element value equals to arrange in the system among the matrix of consequence C is 1 just _iCorresponding line segment Li is the electrical energy power quality disturbance source.

In described step (E), if greater than 1, then there be fuzzy in the element number of the PQM quantity M that element value equals to arrange in the system among the matrix of consequence C in the ecbatic matrix, disturbing source is present among the line segment of described several element correspondences, enters next step;

Described automatic accurate positioning method also comprises:

(F) if item is blured in the judgement in the step (E), corresponding line segment place is arranged corresponding virtual PQM, and in system's rooted tree, newly-increased virtual PQM is write corresponding sequence number; According to the parameter information of Ohm's law, Kirchhoff's law and distribution line, realize that the quantity of state of not arranging the PQM node calculates;

(G) make up expansion and cover matrix and propagation direction matrix: according to the new system's rooted tree structure behind the defining virtual PQM in (F) step, the constructing system expansion covers matrix and system extension direction matrix:

(G1) the system extension covering matrix A that structure is new ' _{L * M '}For:

Wherein, M ' is the quantity summation of the PQM and the middle virtual PQM that defines of step (F) of actual disposition in the system, expansion covering matrix A ' _{L * M '}Than covering matrix A _{L * M}The virtual PQM number that the columns that has more equals to increase in the rooted tree;

(G2) make up new system extension direction matrix B ' _{M ' * 1}For:

Equally, the propagation direction matrix B ' _{M ' * 1}Analogy is to matrix B _{M * 1}The virtual PQM number that the line number that has more equals to increase in the rooted tree;

(G3) the accurate location computing of disturbing source: aforesaid system extension covering matrix and system extension direction matrix are carried out matrix multiplication operation, and matrix of consequence C ' is expanded _{L * 1}For:

${C^{\′}}_{L\×1}={A^{\′}}_{L\×M^{\′}}*{B^{\′}}_{M^{\′}\×1}=\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c^{\′}}_1\\ {c^{\′}}_2\\ \·\\ \·\\ \·\\ {c^{\′}}_i\end{array}\right]$

Described spreading result Matrix C ' _{L * 1}In, guarantee that the element number that element value equals actual arrangement PQM and virtual PQM quantity summation M ' is 1 just, then confirm this row element c ' _iCorresponding line segment Li is the electrical energy power quality disturbance source.

Described step (B) may further comprise the steps:

(B1) adopt each node to store the method for a distribution line segment, this network topology structure is configured to the rooted tree structure, wherein each node ID is consistent with corresponding line segment sequence number in the topological diagram;

(B2) node of configuration PQM in the system is distinguished with the node that does not dispose PQM, and identified for each PQM volume sequence number.

Present embodiment provides the automatic accurate positioning method in a kind of electrical energy power quality disturbance source, can be in the radial pattern distribution system, realize the accurate automatic positioning function in electrical energy power quality disturbance source based on simple defined matrix and computing, as shown in Figure 4, the realization of this method is specific as follows:

Step 1, in distribution network the electric energy quality monitoring system of building networkization, multiple spot PQM all can realize high-speed communication with quality of power supply administrative center, sends the real-time Monitoring Data or the analysis result of each monitoring point to quality of power supply administrative center.

Step 2, make up the rooted tree of distribution system according to the topological structure of distribution network:

Adopt each node to store the method for a distribution line segment, the distribution system network topology structure is configured to rooted tree structure commonly used in the power system analysis.Wherein, each node ID is consistent with corresponding line segment sequence number in the topological diagram, can clearly show each internodal relation; The node of configuration PQM in the system is distinguished with the node that does not dispose PQM, and identified for each PQM volume sequence number.

Fig. 1 is the topology diagram of the distribution system of a radial pattern, in order to demonstration explanation of the present invention.Wherein, Li represents the line segment sequence number in the distribution system; Little black surround on the line segment is illustrated in the PQM that arranges on this line segment, and Mi represents the sequence number of this PQM.

Fig. 2 is the system's rooted tree structure according to system shown in Figure 1 topological diagram and PQM deployment scenarios structure.A circle is represented a line segment, and its interior label Li is consistent with topological diagram middle conductor sequence number.Solid line circle represents that this line segment arranged actual PQM, and the PQM sequence number in its external label Mi and the topological diagram on this line segment is consistent; Dashed circle represents that this line segment do not arrange actual PQM.

Step 3, set up system according to the position of each node and PQM in rooted tree relation and cover matrix:

Number of nodes in the rooted tree shown in Figure 2 is 11, and also promptly the line segment quantity in this distribution system is 11, and sequence number is followed successively by L1～L11; The PQM quantity of actual disposition is 6 in the system.In view of the above, the definable system covers matrix A _{11 * 6}Matrix A _{11 * 6}Each data a _IjThe position of j PQM layout points and i node relation in the expression system.If Li is positioned at the back to the zone of Mj, then make a _Ij=+1; If Li is positioned at the forward region of Mj, then make a _Ij=-1.

According to the correlative positional relation of each node and PQM in system's rooted tree, can cover matrix A to the system of definition _{11 * 6}Carry out assignment.System after the assignment covers matrix:

$A=\left[\begin{array}{cccccc}-1& -1& -1& -1& -1& -1\\ +1& -1& -1& -1& -1& -1\\ -1& +1& -1& -1& -1& -1\\ +1& -1& +1& -1& -1& -1\\ +1& -1& -1& -1& -1& -1\\ -1& +1& -1& +1& -1& -1\\ -1& +1& -1& -1& -1& -1\\ -1& +1& -1& -1& +1& -1\\ -1& +1& -1& -1& -1& -1\\ -1& +1& -1& -1& -1& +1\\ -1& +1& -1& -1& -1& -1\end{array}\right]$

With the first columns value in the covering matrix A is example, element value a _I1Reflected sequence number be in the PQM of M1 and the system forward direction between each line segment Li or back to the position relation.According to the rooted tree structure as can be known, have only line segment L2, L4 and L5 to be positioned at the back to the zone of M1, other line segments all are positioned at the forward region of M1.Therefore, cover in the first columns value in the matrix A, a is only arranged ₂₁, a ₄₁And a ₅₁Value is for+1, and other element values are-1.

Step 4, the result of determination of the perturbation direction of each PQM is set up the system orientation matrix when taking place according to disturbance:

Existing document has proposed some based on the quality of power supply real time data that single PQM monitoring obtains, and carries out the algorithm that the front and back relative position relation between all kinds of quality of power supply incident disturbing sources and the monitoring point is judged.When in the distribution system electrical energy power quality disturbance incident taking place, each PQM that arranges in the system all can monitor noisy data, and carries out the identification of electrical energy power quality disturbance event type in view of the above.After event type was confirmed, each PQM can determine the front and back relative position relation of quality of power supply incident disturbing source and this PQM layout points according to corresponding algorithm.

In view of the above, definable system orientation matrix B _{6 * 1}Matrix B _{6 * 1}Each data b _jWhen disturbance event took place at expression supposing the system middle conductor Li place, sequence number was that the PQM of Mj determines disturbing source and its front and back relative position relation according to corresponding algorithm.If the back then makes b to disturbance _j=+1; Otherwise, then make b _j=-1.

In the system shown in Figure 2, suppose respectively at circuit L ₄, L ₈, L ₉The electrical energy power quality disturbance incident takes place, according to aforementioned rule, to the system orientation matrix B of the correspondence under three kinds of situations _L4, B _L8, B _L9Assigned result is:

$B_{L4}=\left(\begin{array}{c}+1\\ -1\\ +1\\ -1\\ -1\\ -1\end{array}\right)$ $B_{L8}=\left(\begin{array}{c}-1\\ +1\\ -1\\ -1\\ +1\\ -1\end{array}\right)$ $B_{L9}=\left(\begin{array}{c}-1\\ +1\\ -1\\ -1\\ -1\\ -1\end{array}\right)$

With the system orientation matrix B _L4Be example: suppose line segment L ₄The electrical energy power quality disturbance incident takes place in the place, and each PQM that arranges in the system monitors it, and determines disturbing source and mutual alignment relation before and after it.As can be seen from Figure 2, line segment L ₄Only be that the back is to the zone, so correct result of determination should be matrix B for M1 and M3 _L4In b is only arranged ₁And b ₃Value is for+1, and other element values are-1.

Step 5, cover matrix and the system orientation matrix carries out preliminary disturbing source location computing according to system:

$C_{L\×1}=A_{L\×M}*B_{M\×1}=\begin{array}{}\end{array}\left[\begin{array}{c}{c}_1\\ c_2\\ \·\\ \·\\ \·\\ c_i\end{array}\right]$

Matrix of consequence C _{L * 1}In each element c _iValue and distribution system topological structure and PQM position related, containing the information of judging the electrical energy power quality disturbance source.The information that merits attention most is matrix of consequence C _{L * 1}The element of the PQM quantity M that middle element value equals to arrange in the system.

According to matrix of consequence C _{L * 1}There are two kinds of possible judgement conclusions in the element number different situations of the PQM quantity M that middle element value equals to arrange in the system:

(1) if matrix of consequence C _{L * 1}The element number of the PQM quantity M that middle element value equals to arrange in the system is 1 just, then can confirm this row element c _iCorresponding line segment Li is the disturbing source of this time quality of power supply incident, and the automatic location algorithm of this time disturbing source finishes;

(2) if matrix of consequence C _{L * 1}The element number of the PQM quantity M that middle element value equals to arrange in the system is greater than 1, then have fuzzy in the ecbatic matrix, disturbing source is present among the line segment of these several element correspondences, but can not determine concrete line segment, need further to get rid of fuzzy, to realize accurate location.

In the system shown in Figure 2, suppose respectively at circuit L ₄, L ₈, L ₉The electrical energy power quality disturbance incident takes place, according in the step 3 the system of assignment cover matrix A _{11 * 6}And the system orientation matrix B of distinguishing assignment in the step 4 _L4, B _L8, B _L9, can determine matrix of consequence C respectively _L4, C _L8, C _L9:

Wherein, matrix of consequence C _L4, C _L8Meet and judge conclusion (1), i.e. matrix of consequence C _L4, C _L8The element number of the PQM quantity that middle element value equals to arrange in the system is 1 just, as matrix of consequence C _L4, C _L8In square frame shown in.At this moment, C _L4In fourth line element c ₄And C _L8In fourth line element c ₈The disturbing source that corresponding line segment L4 and L8 promptly are judged as this twice quality of power supply incident.This shows, as circuit L ₄, L ₈When the electrical energy power quality disturbance incident takes place, according to the simple matrix computing of this step, promptly can accurately confirm the disturbing source of this time quality of power supply incident, the automatic location algorithm of this time disturbing source finishes.

But, matrix of consequence C _L9The element number of the PQM quantity that middle element value equals to arrange in the system meets and judges conclusion (2) greater than 1.This shows matrix of consequence C _L94 fuzzy of middle existence, disturbing source is present in c ₃, c ₇, c ₉And c ₁₁Among line segment L3, L7, L9 and the L11 of these four element correspondences, but can not determine concrete line segment, need further to get rid of fuzzy, to realize accurate location.

Do not dispose the virtual PQM of node definition of actual PQM in step 6, the rooted tree structure:

If there be fuzzy in the Primary Location result of calculation of step 5, require further improvement algorithm so, get rid of fuzzy, to realize accurate location.

According to the parameter information of Ohm's law, Kirchhoff's law and distribution line, can calculate the quantity of state of not arranging the PQM node.Like this, can regard as and arrange corresponding virtual PQM at these line segment places, and can in system's rooted tree, write corresponding sequence number these newly-increased virtual PQM.The system's rooted tree structure that has defined virtual PQM as shown in Figure 3, the dashed circle outside in original system rooted tree structure has increased external label M ' i newly, represents the sequence number of the virtual PQM of this node definition.

Step 7, structure expansion cover matrix and propagation direction matrix, get rid of the accurate location of realization disturbing source to fuzzy:

According to the definition in the step 6 the new system's rooted tree structure behind the virtual PQM, but constructing system expansion cover matrix A ' _{L * M '}With system extension direction matrix B ' _{M ' * 1}The number L of system's middle conductor does not change, but the quantity of PQM increases to present actual disposition PQM and virtual PQM quantity summation M ' by the quantity M of original actual disposition PQM.Therefore, system extension cover matrix A ' _{L * M '}Columns and system extension direction matrix B ' _{M ' * 1}Line number increase present M ' by original M:

Remove this, system extension covering matrix A ' _{L * M '}With system extension direction matrix B ' _{M ' * 1}In the meaning of other symbols and the element assignment according to cover matrix with system and the system orientation matrix in full accord.System extension covering matrix A in the system shown in Figure 2 ' _{11 * 10}With hypothesis circuit L ₉System extension direction matrix B when the electrical energy power quality disturbance incident takes place ' _L9Be respectively:

$A^{\′}=\left[\begin{array}{cccccccccc}-1& -1& -1& -1& -1& -1& -1& -1& -1& -1\\ +1& -1& -1& -1& -1& -1& -1& -1& -1& -1\\ -1& +1& -1& -1& -1& -1& -1& -1& -1& -1\\ +1& -1& +1& -1& -1& -1& -1& -1& -1& -1\\ +1& -1& -1& -1& -1& -1& +1& -1& -1& -1\\ -1& +1& -1& +1& -1& -1& -1& -1& -1& -1\\ -1& +1& -1& -1& -1& -1& -1& +1& -1& -1\\ -1& +1& -1& -1& +1& -1& -1& +1& -1& -1\\ -1& +1& -1& -1& -1& -1& -1& +1& +1& -1\\ -1& +1& -1& -1& -1& +1& -1& +1& +1& -1\\ -1& +1& -1& -1& -1& -1& -1& +1& +1& +1\end{array}\right]$ ${B^{\′}}_{L9}=\left(\begin{array}{c}-1\\ +1\\ -1\\ -1\\ -1\\ -1\\ -1\\ +1\\ +1\\ -1\end{array}\right)$

Cover matrix and system extension direction matrix according to the system extension that makes up, carry out with step 5 in same simple matrix multiplication operation, matrix of consequence C ' promptly is expanded _{L * 1}For:

${C^{\′}}_{L\×1}={A^{\′}}_{L\×M^{\′}}*{B^{\′}}_{M^{\′}\×1}=\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c^{\′}}_1\\ {c^{\′}}_2\\ \·\\ \·\\ \·\\ {c^{\′}}_i\end{array}\right]$

In view of the above, the spreading result Matrix C of system shown in Figure 2 ' _L9For:

As seen, the spreading result Matrix C ' _L9In, the element number that element value equals actual arrangement PQM and virtual PQM quantity summation M ' is 1 just, can confirm this row element c ₉Corresponding line segment L9 is the electrical energy power quality disturbance source.Got rid of for fuzzy among step 5 result, the disturbing source of the quality of power supply is judged in the system, and the automatic location algorithm of this time disturbing source finishes.

By above-mentioned invention, can in the radial pattern distribution system,, utilize simple defined matrix and computing according to system topology and PQM deployment scenarios, realize accurately locating automatically of electrical energy power quality disturbance source.

Implement the present invention, relate generally to the definition and the computing of matrix, algorithm is simple, is easy to computer programming and realizes, has stronger practical significance for the realization of quality of power supply diagnostic function in the networked electric energy quality monitoring system.

Claims (3)

1. the automatic accurate positioning method in an electrical energy power quality disturbance source, described automatic accurate positioning method comprises:

(A) set up networked electric energy quality monitoring system: equipment for monitoring power quality PQM is installed in the circuit of radial pattern distribution system, described PQM all with the high-speed communication of regional quality of power supply administrative center, and send the real-time Monitoring Data or the analysis result of each electric energy quality monitoring point to administrative center;

(B) according to the network topology structure of known distribution system, make up the rooted tree structure chart of an electric power system, and identify the deployment scenarios of each PQM in the system;

(C) set up system and cover matrix, described system covers matrix and is:

Wherein, L is the number of nodes in the rooted tree, also is the line segment quantity in the system; M is the PQM quantity of actual disposition in the system, matrix A _{L * M}Each data a _IjJ the position relation that PQM arranges node M j and i node Li if Li is positioned at the back to the zone of Mj, then makes a in the expression system _Ij=+1; If Li is positioned at the forward region of Mj, then make a _Ij=-1,

Described Mj's is back to the zone, is meant that j PQM arranges the child node zone of node and this node; The forward region of described Mj is meant and removes the back to extra-regional other node regions;

(D) set up the system orientation matrix, described system orientation matrix B _{M * 1}For:

Wherein, matrix B _{M * 1}Each data b _jWhen disturbance event took place in i line segment position in the expression supposing the system, the disturbing source direction determining result of j PQM if be judged to be the back to disturbance, promptly determined disturbing source and is positioned at the back to the zone of j PQM, then makes b _j=+1; Otherwise,, then make b if be judged to be the forward direction disturbance _j=-1;

(E) aforesaid system covering matrix and system orientation matrix are carried out simple matrix multiplication operation, obtain matrix of consequence C _{L * 1}For:

$C_{L\×1}=A_{L\×M}*B_{M\×1}=\begin{array}{cc}\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c}_1\\ c_2\\ \·\\ \·\\ \·\\ c_i\end{array}\right]& \end{array}$

Each element c in the described matrix of consequence _iValue and electric power networks topological structure and PQM arrange related; According to the element value of matrix of consequence,, then confirm this row element c if the element number of the PQM quantity M that element value equals to arrange in the system among the matrix of consequence C is 1 just _iCorresponding line segment Li is the electrical energy power quality disturbance source.

2. the automatic accurate positioning method in electrical energy power quality disturbance as claimed in claim 1 source, it is characterized in that: in described step (E), if the element number of the PQM quantity M that element value equals to arrange in the system among the matrix of consequence C is greater than 1, then there be fuzzy in the ecbatic matrix, disturbing source is present among the line segment of described element correspondence, enters next step;

Described automatic accurate positioning method also comprises:

(F) if judging in the step (E) to exist blurs item, corresponding line segment place is arranged corresponding virtual PQM, and in system's rooted tree, newly-increased virtual PQM is write corresponding sequence number; According to the parameter information of Ohm's law, Kirchhoff's law and distribution line, realize that the quantity of state of not arranging the PQM node calculates;

(G) make up expansion and cover matrix and propagation direction matrix: according to the new system's rooted tree structure behind the defining virtual PQM in (F) step, the constructing system expansion covers matrix and system extension direction matrix:

(G1) the system extension covering matrix A that structure is new ' _{L * M '}For:

Wherein, M ' is the quantity summation of the PQM and the middle virtual PQM that defines of step (F) of actual disposition in the system, M ' _jFor j PQM after the expansion arranges node, expansion covering matrix A ' _{L * M '}Than covering matrix A _{L * M}The virtual PQM number that the columns that has more equals to increase in the rooted tree;

(G2) make up new system extension direction matrix B ' _{M ' * 1}For:

Equally, the propagation direction matrix B ' _{M ' * 1}Analogy is to matrix B _{M * 1}The virtual PQM number that the line number that has more equals to increase in the rooted tree;

(G3) the accurate location computing of disturbing source: aforesaid system extension covering matrix and system extension direction matrix are carried out matrix multiplication operation, and matrix of consequence C ' is expanded _{L * 1}For:

${C^{\′}}_{L\×1}={A^{\′}}_{L\×M^{\′}}*{B^{\′}}_{M^{\′}\×1}=\begin{array}{cc}\begin{array}{c}{L}_1\\ L_2\\ \·\\ \·\\ \·\\ L_i\end{array}\left[\begin{array}{c}{c^{\′}}_1\\ {c^{\′}}_2\\ \·\\ \·\\ \·\\ {c^{\′}}_i\end{array}\right]& \end{array}$

Described spreading result Matrix C ' _{L * 1}In, guarantee that the element number that element value equals actual arrangement PQM and virtual PQM quantity summation M ' is 1 just, then confirm this row element c ' _iCorresponding line segment Li is the electrical energy power quality disturbance source.

3. the automatic accurate positioning method in electrical energy power quality disturbance as claimed in claim 1 or 2 source is characterized in that:

Described step (B) may further comprise the steps:

(B1) adopt each node to store the method for a distribution line segment, this network topology structure is configured to the rooted tree structure, wherein each node ID is consistent with corresponding line segment sequence number in the topological structure;

(B2) node of configuration PQM in the system is distinguished with the node that does not dispose PQM, and identified for each PQM volume sequence number.

Images