CN108879693A - A kind of passway for transmitting electricity method for fast searching based on principal component analysis - Google Patents
A kind of passway for transmitting electricity method for fast searching based on principal component analysis Download PDFInfo
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- CN108879693A CN108879693A CN201810750766.XA CN201810750766A CN108879693A CN 108879693 A CN108879693 A CN 108879693A CN 201810750766 A CN201810750766 A CN 201810750766A CN 108879693 A CN108879693 A CN 108879693A
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- 238000000034 method Methods 0.000 title claims abstract description 32
- 238000000513 principal component analysis Methods 0.000 title claims abstract description 10
- 230000005611 electricity Effects 0.000 title abstract 5
- 230000005540 biological transmission Effects 0.000 claims abstract description 35
- 239000011159 matrix material Substances 0.000 claims abstract description 23
- 239000000203 mixture Substances 0.000 claims abstract description 18
- 238000012847 principal component analysis method Methods 0.000 claims abstract description 9
- 238000004458 analytical method Methods 0.000 claims description 9
- 238000010586 diagram Methods 0.000 claims description 8
- 230000001186 cumulative effect Effects 0.000 claims description 6
- 239000006185 dispersion Substances 0.000 claims description 5
- 238000010248 power generation Methods 0.000 claims description 3
- 230000009466 transformation Effects 0.000 claims description 3
- 230000002265 prevention Effects 0.000 description 3
- 238000004364 calculation method Methods 0.000 description 2
- 238000007689 inspection Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000007621 cluster analysis Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000010223 real-time analysis Methods 0.000 description 1
Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Supply And Distribution Of Alternating Current (AREA)
Abstract
The present invention relates to a kind of passway for transmitting electricity method for fast searching based on principal component analysis forms matrix using the method computing electric power line power based on graph theory according to the current trend of electric power networks；Dimensionality reduction is carried out to transmission line of electricity power composition matrix using principal component analysis method；Classified using the clustering based on sum of squares of deviations method to route；The range of the parallel passway for transmitting electricity of judgement overload route.A kind of passway for transmitting electricity method for fast searching based on principal component analysis proposed by the present invention, can be effectively reduced data noise.Compared to existing method, more accurate route pedigree chart can be obtained.
Description
Technical Field
The invention relates to the technical field of power systems, in particular to a rapid power transmission channel searching method based on principal component analysis.
Background
The vulnerability of the power transmission channel structure is evaluated, and the power transmission channel on-line safety analysis and prevention control are carried out, so that the power transmission channel of the system is required to be obtained in advance. For the online safety analysis and prevention control of the power transmission channel, only the safety problem of the power transmission channel in the system can be concerned, namely, the N-1 inspection is carried out on the lines contained in the power transmission channel in the system, and the N-1 inspection is not needed to be carried out on all the lines in the system, so that the calculation amount is greatly reduced, and the real-time analysis time is saved for the emergency control of the power system. Therefore, a fast and accurate method for fast searching a power transmission channel needs to be designed, and the searching time of the power transmission channel is shortened, which is very important for the online safety analysis and prevention control of the power system.
Disclosure of Invention
The invention aims to provide a method for quickly searching a power transmission channel based on principal component analysis, so as to overcome the defects in the prior art.
In order to achieve the purpose, the technical scheme of the invention is as follows: a rapid searching method of a power transmission channel based on principal component analysis is realized according to the following steps:
step S1: calculating the power composition of each power transmission line according to the current power flow distribution of the system, and acquiring a line power composition matrix;
step S2: reducing the dimension of the line power composition matrix by adopting a principal component analysis method to obtain a matrix under a new coordinate system;
step S3: classifying the lines by adopting clustering analysis based on a dispersion square sum method to obtain a line pedigree diagram;
step S4: and sequentially comparing the power flow directions of the lines in the loop and the overload line, and judging the range of the parallel power transmission channel of the overload line by calculating the active power flow distribution coefficient of the overload line with increased power flow caused by the removal of the overload line to complete the search of the power transmission channel.
In an embodiment of the present invention, in step S1, a power composition matrix X of the transmission line is calculated by using a graph theory based method according to a current power flow of the power networkl×(G×N)I.e. the power actually transmitted between each generator and each node on each line; wherein l is the number of lines, G is the number of generators participating in power generation, and N is the number of nodes.
In an embodiment of the present invention, in step S2, a principal component analysis method is adopted to form a matrix X for the power of the power transmission linel×(G×N)Carrying out coordinate transformation, and calculating the cumulative variance contribution rate M of the first d principal componentsd：
Wherein λ isiThe characteristic value corresponding to the ith principal component; selecting the first d (d is less than or equal to G multiplied by N) principal components to make the cumulative variance contribution rate MdMore than 80%, obtaining matrix Z under new coordinate after transformationl×d。
In an embodiment of the present invention, in step S3, the routes are classified by using cluster analysis based on the sum of squared deviations method, and the added sum of squared deviations in the categories after the routes are merged is the smallest, and the routes are sequentially merged into one category until the route finally becomes a large category; finally, the lines are sorted according to the similar degree with the power composition of the overload line, namely a line pedigree diagram.
In an embodiment of the present invention, in the step S4, the power flow directions of the loop including the overloaded circuit and the overloaded circuit are sequentially compared, and the active power flow distribution coefficient of the circuit j with increased power flow caused by the removal of the overloaded circuit i is calculated
Wherein,respectively the active power flow of the line before the disconnection of the line j and the active power flow, P, of the line j after the disconnection of the overload line ii (0)The active power flow of the overload line i before the overload line is disconnected; if the current direction of the line j in the loop is not consistent with the current direction of the overload line i andthe line belongs to the parallel transmission channel of the overloaded line.
Compared with the prior art, the invention has the following beneficial effects: according to the rapid searching method of the power transmission channel based on principal component analysis, provided by the invention, a line power composition matrix is obtained through calculation according to the current power flow of a power network, the principal component analysis method is utilized to reduce the dimension of the matrix, clustering analysis based on a dispersion square sum method is adopted to classify the lines, and the power transmission channel range of an overloaded line is judged. The principal component analysis method is used for reducing the dimension of the line power composition matrix, and the data noise can be effectively reduced. Compared with the existing method, a more accurate line pedigree map can be obtained.
Drawings
Fig. 1 is a flowchart of a method for fast searching a power transmission channel according to an embodiment of the present invention.
Fig. 2 is a diagram of an IEEE14 node in an embodiment of the present invention.
FIG. 3 is a circuit pedigree diagram in an embodiment of the invention.
Detailed Description
The technical scheme of the invention is specifically explained below with reference to the accompanying drawings.
The invention relates to a rapid searching method of a power transmission channel based on principal component analysis. As shown in fig. 1, the specific implementation method is as follows:
step S1: calculating a power composition matrix X of the power transmission line by adopting a method based on graph theory according to the current power flow of the power networkl×(G×N)I.e. the power actually transmitted between the generators and the nodes on each line. Wherein l is the number of lines, G is the number of generators participating in power generation, and N is the number of nodes.
Step S2: forming a matrix X for the power of the transmission line by adopting a principal component analysis methodl×(G×N)After coordinate transformation, calculating the cumulative variance contribution rate M of the first d principal componentsd：
Wherein λ isiThe characteristic value corresponding to the ith principal component. Selecting the first d (d is less than or equal to G multiplied by N) principal components to make the cumulative variance contribution rate MdMore than 80%, obtaining matrix Z under new coordinate after transformationl×d。
Step S3: and classifying the lines by adopting clustering analysis based on a dispersion square sum method, and sequentially combining the lines into one class according to the minimum dispersion square sum in the class increased after the lines are combined until the lines become a large class. Finally, the lines are sorted according to the similar degree with the power composition of the overload line, namely a line pedigree diagram.
Step S4: sequentially comparing the power flow directions of the loop containing the overload circuit and the overload circuit, and calculating the active power flow distribution coefficient of the circuit j with the power flow increase caused by the removal of the overload circuit i
Wherein,respectively the active power flow of the line before the disconnection of the line j and the active power flow, P, of the line j after the disconnection of the overload line ii (0)The active power flow of the overload line i before the line is disconnected. If the current direction of the line j in the loop is not consistent with the current direction of the overload line i andthe line belongs to the parallel transmission channel of the overloaded line.
In order to further understand the method proposed by the present invention, the following description is given with reference to specific examples.
An IEEE14 node system was chosen as shown in fig. 2.
The first step is as follows: and calculating the power composition of each power transmission line according to the current power flow distribution of the system to obtain a line power composition matrix X.
The second step is that: and reducing the dimension of the line power composition matrix by adopting a principal component analysis method to obtain a matrix Z under a new coordinate system.
The third step: the lines are classified by clustering analysis based on the sum of squared deviations method to obtain a line pedigree diagram, which is shown in fig. 3.
The fourth step: and sequentially comparing the current directions of the circuit in the loop and the overload circuit, and judging the range of the parallel power transmission channel of the overload circuit by calculating the active current distribution coefficient of the overload circuit, which causes the current increase of the overload circuit, to be cut off.
The above are preferred embodiments of the present invention, and all changes made according to the technical scheme of the present invention that produce functional effects do not exceed the scope of the technical scheme of the present invention belong to the protection scope of the present invention.
Claims (5)
1. A rapid power transmission channel searching method based on principal component analysis is characterized by comprising the following steps:
step S1: calculating the power composition of each power transmission line according to the current power flow distribution of the system, and acquiring a line power composition matrix;
step S2: reducing the dimension of the line power composition matrix by adopting a principal component analysis method to obtain a matrix under a new coordinate system;
step S3: classifying the lines by adopting clustering analysis based on a dispersion square sum method to obtain a line pedigree diagram;
step S4: and sequentially comparing the power flow directions of the lines in the loop and the overload line, and judging the range of the parallel power transmission channel of the overload line by calculating the active power flow distribution coefficient of the overload line with increased power flow caused by the removal of the overload line to complete the search of the power transmission channel.
2. The method according to claim 1, wherein in step S1, the power composition matrix X of the transmission line is calculated by a graph theory-based method according to the current power flow of the power networkl×(G×N)I.e. the power actually transmitted between each generator and each node on each line; wherein l is the number of lines, G is the number of generators participating in power generation, and N is the number of nodes.
3. The method according to claim 1, wherein in step S2, a principal component analysis method is adopted to form a matrix X for the transmission line powerl×(G×N)Carrying out coordinate transformation, and calculating the cumulative variance contribution rate M of the first d principal componentsd：
Wherein λ isiThe characteristic value corresponding to the ith principal component; selecting the first d (d is less than or equal to G multiplied by N) principal components to make the cumulative variance contribution rate MdMore than 80%, obtaining matrix Z under new coordinate after transformationl×d。
4. The method according to claim 1, wherein in step S3, clustering analysis based on the sum of squared deviations method is used to classify the lines, and the added sum of squared deviations in the classes after the lines are merged are the smallest, and the lines are sequentially merged into one class until the lines finally become a big class; finally, the lines are sorted according to the similar degree with the power composition of the overload line, namely a line pedigree diagram.
5. The method according to claim 1, wherein in step S4, the power flow directions of the loop containing the overloaded circuit and the overloaded circuit are sequentially compared, and the active power flow distribution coefficient of the line j with increased power flow caused by the excising of the overloaded circuit i is calculated
Wherein,respectively the active power flow of the line before the disconnection of the line j and the active power flow, P, of the line j after the disconnection of the overload line ii (0)The active power flow of the overload line i before the overload line is disconnected; if the current direction of the line j in the loop is not consistent with the current direction of the overload line i andthe line belongs to the parallel transmission channel of the overloaded line.
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|---|---|---|---|---|
| CN103368176A (en) * | 2013-07-22 | 2013-10-23 | 国家电网公司 | Method for searching for dangerous power transmission sections |
| CN103840456A (en) * | 2014-03-19 | 2014-06-04 | 国家电网公司 | Transmission section search method considering network automatic contraction |
| CN107769191A (en) * | 2016-08-18 | 2018-03-06 | 中国电力科学研究院 | key transmission cross-section automatic identifying method based on network topology and flow data |
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- 2018-07-10 CN CN201810750766.XA patent/CN108879693A/en active Pending
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103368176A (en) * | 2013-07-22 | 2013-10-23 | 国家电网公司 | Method for searching for dangerous power transmission sections |
| CN103840456A (en) * | 2014-03-19 | 2014-06-04 | 国家电网公司 | Transmission section search method considering network automatic contraction |
| CN107769191A (en) * | 2016-08-18 | 2018-03-06 | 中国电力科学研究院 | key transmission cross-section automatic identifying method based on network topology and flow data |
Non-Patent Citations (3)
| Title |
|---|
| GANG LI, ZENG-PING WANG, JIAN-WEN REN, XU-FENG ZHEN: "POWER SYSTEM TRANSMISSION SECTION SECURITY PROTECTION CONTROL PROGRAM", 《IEEE》 * |
| 姚峰: "输电断面有功安全性保护及其快速算法", 《中国电机工程学报》 * |
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Application publication date: 20181123 |