CN112668747A - Optimal configuration method of harmonic source positioning measurement device considering measurement redundancy - Google Patents
Optimal configuration method of harmonic source positioning measurement device considering measurement redundancy Download PDFInfo
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Abstract
The invention discloses a method for optimally configuring a harmonic source positioning measuring device by considering measurement redundancy, which relates to the technical field of power quality measurement, and aims to optimize a configuration scheme of the power quality measuring device, wherein the method comprises the following steps: s1, constructing a node adjacent matrix and a zero injection matrix according to the system topology; s2, converting the node adjacent matrix by using the concept of Cuthill-Mckee, reducing the bandwidth of the matrix and improving the stability of the algorithm; s3, constructing a network topology fully observable formula according to the adjacent matrix; s4, obtaining an initial configuration scheme of the measuring device by using an improved minimum number generation algorithm; and S5, comparing the redundancy of the configuration scheme of the initial power quality monitoring device, and outputting the configuration scheme of the measuring device with the maximum total observation redundancy of the system.
Description
Technical Field
The invention relates to the technical field of power quality measurement, in particular to an optimal configuration method of a harmonic source positioning measurement device considering measurement redundancy.
Background
With the use of a large number of nonlinear loads, more and more harmonics are injected into the power system, so that the power quality problem of the power system caused by harmonic pollution is more and more serious. With the development of power networks, modern power grids need higher real-time monitoring accuracy. Therefore, the application research of the electric energy quality measuring device in the electric power system in China is rapidly developed.
Considering from the aspects of economy, cost and the like, how to find the optimal power quality monitoring device configuration problem which enables the whole network to be completely observable and the system observation redundancy to be maximum becomes an important research subject at present. For a long time, scholars at home and abroad propose a plurality of optimization methods for monitoring device configuration, such as genetic algorithm, ant colony algorithm and particle swarm algorithm, and apply the modern optimization method to solve the optimal configuration of the measuring device. However, these methods have their own limitations. For example, genetic algorithms require the maintenance of large-scale populations, which take up a lot of space and time to run; the ant colony algorithm has the advantages of lacking initial pheromones, low convergence speed and easy falling into local optimization; the particle swarm algorithm is easy to precocious and converge, and has poor local optimizing capability.
Therefore, it is desirable to provide a new optimal configuration method for measurement points.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides an optimal configuration method of a harmonic source positioning measurement device considering measurement redundancy, which comprises the following steps:
s1: constructing an adjacent matrix A and a zero injection matrix ZI of a target network;
s2: converting the adjacent matrix A by using Cuthill-Mckee to reduce the bandwidth of the sparse matrix;
s3: constructing a constraint formula with a completely considerable system network topology;
s4: obtaining a configuration scheme of a plurality of groups of power quality monitoring devices by utilizing an improved minimum spanning tree algorithm;
s5: and comparing the redundancies of the multiple groups of power quality monitoring devices, and outputting the configuration scheme with the maximum redundancy.
Further, in S1:
ZI＝[X1,X2,...,Xi,...,XN]Tis an N-dimensional column vector, where i is the system node number, and X is the zero injection node if the node is a zero injection nodeiI; otherwise, then Xi＝0。
Further, in S2:
A1＝PAPT
where A is the neighbor matrix of the node topology and P is dependent on the bandwidth of neighbor matrix A.
Further, in S3:
the constraint equation for network topology is considerable as follows:
in the formula (I), the compound is shown in the specification,
is composed of XiForming N-dimensional column vectors, wherein i is the serial number of a system node, and if the node is provided with a power quality monitoring device, X isi1 is ═ 1; otherwise Xi＝0；
Are N-dimensional column vectors and the elements are all 1.
Further, in S4:
the improved minimum spanning tree algorithm is to continuously install the measuring device on the bus nodes which cannot be observed by the installed measuring device, and finally obtain a layout scheme of a plurality of groups of power quality monitoring devices.
Further, in S5:
for a grid system with N nodes, the node i redundancy is:
in the formula: i, j represents a node number; t isiIs the considerable degree of node i; a. thej,iIs a node adjacency matrix; x is the number ofi、xjIn which i andj is the serial number of the system node, if the node is provided with a power quality monitoring device, Xi1 or Xj1 is ═ 1; otherwise, then Xi0 or Xj0; thus, the total observation redundancy of a system of N nodes is
The invention has the beneficial effects that: the optimal configuration method of the harmonic source positioning measurement device considering the measurement redundancy can optimize the layout of the power quality monitoring device to obtain the position configuration of the optimal measurement device.
Drawings
FIG. 1 is a schematic flow diagram of the present invention;
fig. 2 is a topology diagram of an IEEE14 node system.
Detailed Description
The technical solutions of the present invention are further described in detail below with reference to the accompanying drawings, but the scope of the present invention is not limited to the following.
Referring to fig. 1, fig. 2 is a topology diagram of an IEEE14 node, referring to fig. 1, and the method for optimally configuring a harmonic source location measurement apparatus considering measurement redundancy includes the following steps:
s1: and constructing an adjacent matrix A and a zero injection matrix ZI of the target network.
ZI＝[0 0 0 0 0 0 7 0 0 0 0 0 0 0]；
S2: converting the matrix A by using a Cuthill-Mckee method, wherein the conversion result is as follows:
s3: from the topology of IEEE14, a system full observability constraint formula is:
in the formula, each xi,jThe element denoted 1, the symbol "+" here really means the logical operation "OR", fi≧ 1 indicates that there is at least one non-zero value in the ith row in the adjacent matrix A. Power network node observability principle: if a certain bus node is provided with a measuring device, the node can be observed; if a bus node at one end of a certain branch is provided with a measuring device, the voltage phasor of the adjacent node can be calculated by using the ohm law, so that the adjacent node is also considerable; if a certain node is a zero injection node and the number of adjacent nodes is K, then according to ohm's law and kirchhoff's law, if K is considerable for the K +1 nodes, the rest nodes are also considerable.
S4: continuously installing the measuring device on the bus nodes which cannot be observed by the installed measuring device by utilizing an improved minimum spanning tree algorithm, and finally obtaining an initial measuring device configuration scheme; and (3) an improved minimum spanning tree algorithm, namely, the measuring device is continuously installed only on the bus nodes which cannot be observed by the installed measuring device, and finally, a layout scheme of a plurality of groups of power quality monitoring devices is obtained.
S5: and comparing the redundancies of the multiple groups of power quality monitoring devices, and outputting a configuration scheme with the maximum total observation redundancy of the system.
For the maximum redundancy value in the IEEE14 node optimal configuration scheme, the optimal configuration scheme of the power quality monitoring device is obtained, as shown in table 1:
table 1 optimal configuration scheme of IEEE14 node of the present invention
Comparing the method provided by the invention with the optimal configuration scheme of the measuring device when the redundancy is considered on the IEEE14 node by the genetic algorithm, the ant colony algorithm and the particle swarm algorithm, it can be seen that the invention can obtain a more superior configuration scheme under the condition of ensuring the complete considerable power system, and the comparison result is shown in Table 2:
TABLE 2 comparison of the results of the present invention with other algorithms
The foregoing is illustrative of the preferred embodiments of this invention, and it is to be understood that the invention is not limited to the precise form disclosed herein and that various other combinations, modifications, and environments may be resorted to, falling within the scope of the concept as disclosed herein, either as described above or as apparent to those skilled in the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (6)
1. The optimal configuration method of the harmonic source positioning measuring device considering the measurement redundancy is characterized by comprising the following steps of:
s1: constructing an adjacent matrix A and a zero injection matrix ZI of a target network;
s2: converting the adjacent matrix A by using Cuthill-Mckee to reduce the bandwidth of the sparse matrix;
s3: constructing a constraint formula with a completely considerable system network topology;
s4: obtaining a configuration scheme of a plurality of groups of power quality monitoring devices by utilizing an improved minimum spanning tree algorithm;
s5: and comparing the redundancies of the multiple groups of power quality monitoring devices, and outputting the configuration scheme with the maximum redundancy.
2. The method of claim 1, wherein in step S1:
ZI＝[X1,X2,...,Xi,...,XN]Tis an N-dimensional column vector, where i is the system node number, and X is the zero injection node if the node is a zero injection nodeiI; otherwise, then Xi＝0。
3. The method of optimally configuring the harmonic source location measurement device with consideration of measurement redundancy in accordance with any one of claims 1 to 2, wherein in the step S2:
A1＝PAPT
where A is the neighbor matrix of the node topology and P is dependent on the bandwidth of neighbor matrix A.
4. The method of any one of claims 1 to 3, wherein in the step S3:
the constraint equation for network topology is considerable as follows:
in the formula (I), the compound is shown in the specification,
is composed of XiForming N-dimensional column vectors, wherein i is the serial number of a system node, and if the node is provided with a power quality monitoring device, X isi1 is ═ 1; otherwise Xi＝0；
Are N-dimensional column vectors and the elements are all 1.
5. The method of any one of claims 1 to 4, wherein in the step S4:
the improved minimum spanning tree algorithm is to continuously install the measuring device on the bus nodes which cannot be observed by the installed measuring device, and finally obtain a layout scheme of a plurality of groups of power quality monitoring devices.
6. The method of any one of claims 1 to 5, wherein in step S5:
for a grid system with N nodes, the node i redundancy is:
in the formula: i, j represents a node number; t isiIs the considerable degree of node i; a. thej,iIs a node adjacency matrix; x is the number ofi、xjAnd the numbers of the system nodes are in the intermediate i and j, and if the node is provided with a power quality monitoring device, the number of the system node is Xi1 or Xj1 is ═ 1; otherwise, then Xi0 or Xj0; thus, the total observation redundancy of a system of N nodes is
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