CN109885859A - The substation for adding inertia force is center network distribution single line diagram autoplacement calculation method - Google Patents
The substation for adding inertia force is center network distribution single line diagram autoplacement calculation method Download PDFInfo
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Abstract
It is center network distribution single line diagram autoplacement calculation method the invention discloses a kind of plus inertia force substation, the present invention first obtains raw information, optimizing is carried out by coefficient of the genetic algorithm to each active force, the repulsion that draws that simple power leads algorithm calculates, calculate point while, while side repulsion and total repulsion, add center of gravity power makes topological convergence in figure center of gravity to draw node, calculate the inertia force of the second level of this feeder line and the node i of the following branch line of second level, joint movements equation after computed improved, finally export optimal line chart and optimal effect force parameter.
Description
Technical Field
The invention belongs to the field of situation perception and visualization of an intelligent power grid, and particularly relates to a single line graph force guidance method automatic layout calculation method suitable for a power distribution network taking a transformer substation with inertia force as a center under an intelligent power distribution network.
Background
The SCDN is an active distribution Network segmentation model proposed in recent years and aims to provide a situation picture with high information aggregation, high wiring identification and high situation awareness for an Active Distribution Network (ADN) so as to provide a single-line wiring diagram of the distribution Network; the early-stage research provides concept design of intelligent power grid situation map modeling and situation perception visualization; automatic generation of a uniform wiring diagram of the power distribution network and calculation of a situation diagram perceptibility are provided; a concept based on situation picture mining is provided, and then SCDN voltage contour line situation graph clustering analysis enables application to be more specific; an ADN situation picture measurable evaluation system is intensively discussed, and specific evaluation indexes are provided for wiring height identification and information height aggregation; and emphasises the key question why the SCDN is provided and how the SCDN can be acquired; in order to realize automatic generation of a 'data driving' situation picture, a situation base map, namely a map-analog-digital integrated model of an electrical wiring map is provided, so that model support is provided for automatic generation of the SCDN single line map.
A medium-voltage distribution network model (SCDN) of the transformer substation is a large-scale distribution network segmentation model which meets the situation perception visualization information high aggregation; the SCDN is a medium-voltage distribution network taking 1 110/35kV central transformer substation as a main high-voltage power supply, covers all 10kV feeders of the medium-voltage distribution network, and also covers all 10kV lines which are supplied to other transformer substations through the feeders; generally, the number of 10kV outgoing feeder lines of a 110kV central substation can reach 20-25 at most, the number of load nodes reaches nearly thousand, and the number of line segments is about thousand; although the prior art proposes an automatic generation algorithm, the imaging effect is still found to be poor in large-scale application; in addition, after the SCDN has certain data switching station, connecting line and ring main unit, the mapping effect is not ideal. Therefore, a graphic model and a two-stage hierarchical SCDN single line diagram automatic generation algorithm are provided in the prior art, the initial layout of the graphic model and the wiring diagram in the first stage is mainly explained, and the problem of the initial radiation layout of a feeder group which is provided with a loop and is in transfer connection with other transformer substations and takes a 10kV bus as the center is solved; as a continuation of this document, the emphasis is on the second stage of beautification optimization calculation based on the initial layout.
① depends heavily on the initial layout, ② is easy to intersect and layout ball clustering, so that improved algorithms such as gravity, line evasion and the like are provided for reducing intersection and layout ball clustering, however, as the point edges of the SCDN are too dense, when the improved method is applied based on the initial layout, the situation that the intersection occurs because the integral structure between the original initial layout and the branch lines is not maintained is found to be difficult to maintain, so that an artificial acting force defined as an inertial force is provided, so that a certain inertia is kept as far as possible when a node runs, excessive intersection is not increased, but the graph is evolved towards homogenization, ③ previous researches are based on experience on parameters and specific gravity of various forces, and therefore the parameters are not optimized.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides an automatic layout calculation method of a distribution network single line diagram taking a transformer substation with inertia force as a center.
The invention relates to a distribution network single line diagram automatic layout calculation method taking a transformer substation with inertia force as a center, which specifically comprises the following steps:
step 1, acquiring original information, including geographical position information of a transformer substation and a load and line composition information, and acquiring a source: a grid EMS platform system;
step 2, optimizing the coefficient of each acting force by a genetic algorithm, and taking the coefficient of each acting force as an independent variable of optimization, including a repulsion coefficient kr,1、kr,2、kr,3Coefficient of attraction kaIdeal length L, center of gravity coefficient kgAnd coefficient of inertia kin(ii) a The target is the number of intersections.
And 3, calculating the repulsive force of a simple force guidance algorithm: (1) when the actual distance between the nodes is greater than the ideal length, the size of the attractive force is influenced by the difference between the actual distance between the nodes and the ideal length and is in a direct proportion relation; (2) repulsion action exists between any nodes, and the size of the repulsion is in inverse proportion to the distance between the nodes:
(1) calculating the gravitation:
wherein ,is node Vi and VjDistance between, kaFor the gravitational coefficient, L is the ideal length of the leg.
(2) Calculation of repulsion force
In the formula: m is the total number of nodes of the graph; k is a radical ofrFor other nodes to point ViThe repulsive force weight of (1).
And 4, calculating the point edge, the edge repulsive force and the total repulsive force. When the node repulsive force of a branch of a certain feeder line is processed, the method of the document [2] is simplified, namely the formula of the calculated repulsive force is as follows:
in the formula:m1The number of nodes is not the number of the nodes of the feeder line; n is1And q is the number of nodes on the branch of the previous level of the current node of the feeder line and the number of the remaining nodes respectively; k is a radical ofr,1For node-to-node V on other feedersiWeight of repulsive force, kr,2Is a point ViWeight of repulsion, k, of node on leg of the previous level to noder,3Point to point V for the rest nodesiThe repulsive force weight of (1).
And 5, adding gravity to pull the nodes to make the topology converge on the graph gravity center (0, 0) [7 ].
Arbitrary node (n)x,ny) The gravity of the added gravity is as follows:
wherein The distance from the node to the key point;is gravity coefficient; k is a radical ofgIs a multiple of the gravity coefficient.
Step 6, calculating the inertia force of the nodes i of the secondary branch line and the branch lines below the secondary branch line of the feeder line as follows, wherein the nodes on each non-primary branch line are acted by the inertia force, and the trend of maintaining the initial layout of the nodes is maintained at two sides of the primary branch line:
in the formula:is node ViThe gravity centers of the nodes on the second level branch line and the branch lines below the second level branch line of the feeder line; k is a radical ofinIs the coefficient of inertia force;fx、fythe magnitude of the inertia force and the component force thereof on the rectangular coordinate are respectively.
And 7, calculating the improved node motion equation. After the inertia force is added, each node on the single line diagram is acted by four forces, and then the improved node motion equation is as follows:
in the formula: k is a node PiThe number of iterations of (a); the projection of the repulsive force, the attractive force and the repulsive force on the x axis or the y axis is applied to the node; dkFor k steps the distance of the node from the center point, gfIs a gravity coefficient; sig is an inertia force accepting or rejecting coefficient, and is 1 when the branch where the node is located is a non-primary branch, otherwise is 0; k is a radical ofinIs the coefficient of inertia force, (x)mean,i,ymean,i) The center of inertia of the nodes of the secondary branch line and the branch lines below the secondary branch line of the feeder line is shown.
Step 8, judging whether the current intersection is 0, if so, finishing the algorithm, and outputting an optimal single line diagram and optimal acting force parameters; otherwise, repeating the steps 3 to 7.
Compared with the prior art, the invention has the following beneficial effects: the transformer substation is a central power distribution network, and the transformer substation is a large-scale power distribution network segmentation model meeting situation perception visual information high aggregation, which is provided by the inventor and is a brand-new power distribution network model; for the model, the greatest advantage is that single line diagrams of all 10kV feeders of the transformer substation are all drawn on a plane in a radial manner; the difficulty is the automatic generation method of the graph; adopting a force guidance method is the best method for calculating the single line diagram; the force guidance method is a method based on initial layout, if the initial layout is good, the force guidance calculation speed is greatly increased, and a high-quality final wiring diagram is obtained; the inventor has provided a 'sector-based substation is a central distribution network single line diagram initial layout calculation method'; the force guide calculation is carried out on the basis of the initial layout, and the invention provides that: (1) in order to avoid line crossing, a line evasion algorithm and a point line evasion algorithm are provided; (2) in order to avoid ball clustering of the layout, an algorithm for increasing gravity is provided; (3) the method is difficult to maintain the integral structure between the original initial layout and the non-crossed branch lines to cause the crossing, and provides an inertial force, so that the node can keep certain inertia as much as possible during operation without increasing the crossing.
Drawings
FIG. 1 is a graph showing the significant effect of inertial forces;
FIG. 2 is a flow chart of the algorithm;
FIG. 3 is a single line diagram of the A station formed by the algorithm of the present invention;
FIG. 4 is a A-station crossover point iteration curve;
table 1 is a parameter table of station a after genetic algorithm optimization;
table 2 shows the parameter table and the result pattern evaluation parameters of the various methods of the a station.
Detailed Description
As shown in fig. 2, the method for automatically calculating the layout of the distribution network single line diagram by using the transformer substation with inertia force as the center specifically includes the following steps:
step 1, acquiring original information, including geographical position information of a transformer substation and a load and line composition information, and acquiring a source: a grid EMS platform system;
step 2, optimizing the coefficient of each acting force by a genetic algorithm, and taking the coefficient of each acting force as an independent variable of optimization, including a repulsion coefficient kr,1、kr,2、kr,3Coefficient of attraction kaIdeal length L, center of gravity coefficient kgAnd coefficient of inertia kin(ii) a The target is the number of intersections.
And 3, calculating the repulsive force of a simple force guidance algorithm: (1) when the actual distance between the nodes is greater than the ideal length, the size of the attractive force is influenced by the difference between the actual distance between the nodes and the ideal length and is in a direct proportion relation; (2) repulsion action exists between any nodes, and the size of the repulsion is in inverse proportion to the distance between the nodes:
(1) calculating the gravitation:
wherein ,is node Vi and VjDistance between, kaFor the gravitational coefficient, L is the ideal length of the leg.
(2) Calculation of repulsion force
In the formula: m is the total number of nodes of the graph; k is a radical ofrFor other nodes to point ViThe repulsive force weight of (1).
And 4, calculating the point edge, the edge repulsive force and the total repulsive force. When the node repulsive force of a branch of a certain feeder is processed, the previous method of the team is simplified, namely the formula for calculating the repulsive force is as follows:
in the formula:m1The number of nodes is not the number of the nodes of the feeder line; n is1And q is the number of nodes on the branch of the previous level of the current node of the feeder line and the number of the remaining nodes respectively; k is a radical ofr,1For node-to-node V on other feedersiWeight of repulsive force, kr,2Is a point ViWeight of repulsion, k, of node on leg of the previous level to noder,3Point to point V for the rest nodesiThe repulsive force weight of (1).
And 5, adding gravity to pull the nodes to enable the topology to be converged at the center of gravity (0, 0) of the graph.
Arbitrary node (n)x,ny) The gravity of the added gravity is as follows:
wherein The distance from the node to the key point;is gravity coefficient; k is a radical ofgIs a multiple of the gravity coefficient.
Step 6, calculating the inertia force of the nodes i of the secondary branch line and the branch lines below the secondary branch line of the feeder line as follows, wherein the application effect of the inertia force is shown in figure 1, the nodes on each non-primary branch line are acted by the inertia force, and the trend of keeping the initial layout of the nodes is kept at two sides of the primary branch line:
in the formula:is node ViThe gravity centers of the nodes on the second level branch line and the branch lines below the second level branch line of the feeder line; k is a radical ofinIs the coefficient of inertia force;fx、fythe magnitude of the inertia force and the component force thereof on the rectangular coordinate are respectively.
And 7, calculating the improved node motion equation. After the inertia force is added, each node on the single line diagram is acted by four forces, and then the improved node motion equation is as follows:
in the formula: k is a node PiThe number of iterations of (a); the projection of the repulsive force, the attractive force and the repulsive force on the x axis or the y axis is applied to the node; dkFor k steps the distance of the node from the center point, gfIs a gravity coefficient; sig is an inertia force accepting or rejecting coefficient, and is 1 when the branch where the node is located is a non-primary branch, otherwise is 0; k is a radical ofinIs the coefficient of inertia force, (x)mean,i,ymean,i) The center of inertia of the nodes of the secondary branch line and the branch lines below the secondary branch line of the feeder line is shown.
Step 8, judging whether the current intersection is 0, if so, finishing the algorithm, and outputting an optimal single line diagram and optimal acting force parameters; otherwise, repeating the steps 3 to 7.
The machine used in the case is a thinkVision P900 workstation, 6-core CPUs and 4GB memories are configured, 5 SCDNs in a certain area are used for forming a single line diagram, and the A station is used for case analysis. The genetic algorithm is adopted to carry out parameter optimization; in the genetic algorithm, the number of the population is 50, and the number of the cross points under the condition of a population equation; the program adopts starting 6-core parallel calculation for each iteration, and the genetic algorithm iterates for 50 times of convergence, so that the calculation time is equivalent to force-induced calculation increased by 50 × 500 to 25000 times, and the calculation time is 8850s or 2.5 hours. After the optimal parameters are selected, 1000 iterations of the force derivative node motion equation are performed to obtain a final single line diagram, as shown in fig. 3.
FIG. 4 shows the change process of the intersection points in the force derivative calculation process of the four methods, ① simple force derivative method intersection points decrease fastest, but the back iteration intersection points have poor effect of reducing and converge at 9 intersection points, ② method without inertia force, intersection points decrease slowly, convergence intersection points are 9, ③ text method 1 without parameter optimization has faster convergence, but the intersection points fluctuate between 7-9 during 1200 and 1800 iterations. ④ text method 2 after parameter optimization, the front intersection points decrease with a certain ripple, but stabilize to 0 at the intersection points after 600 iterations, the intersection points are the minimum among the four methods, and the minimum intersection point speed is the fastest.Table 1 shows the specific parameters of each SCDN and the number of the intersection points of a single line diagram generated by applying the previous algorithm and the inertia force-based automatic generation algorithm proposed herein, and Table 2 shows the coefficients of each force of the four algorithms of the A station and the evaluation index of the generated single line diagram
(4) In the final graph of the method 2 after parameter optimization, the number of the cross points is reduced to 0, the graph uniformity is high, the longest line segment length and the average length are the minimum of the four methods, and stable iteration in the four methods is the fastest to the optimal effect, so the graph is the best of the four graphs.
The number of the single line diagram cross points is 0, the single line diagram cross points are uniformly distributed, the aesthetic requirement is met, the single line diagram is a SCDN (substation configuration description number) high-identification single line diagram considering situation awareness, situation rendering is favorably carried out on the single line diagram at the later stage, and picture-based situation analysis and situation mining are carried out on the situation diagram.
TABLE 1
TABLE 2
Claims (1)
1. The automatic layout calculation method for the distribution network single line diagram with the transformer substation with the inertia force as the center is characterized by comprising the following steps of:
step 1, acquiring original information, including geographical position information and line composition information of a transformer substation and a load, wherein an acquisition source is a power grid EMS platform system;
step 2, optimizing the coefficient of each acting force by a genetic algorithm, and taking the coefficient of each acting force as an independent variable of optimization, including a repulsion coefficient kr,1、kr,2、kr,3Coefficient of attraction kaIdeal length L, center of gravity coefficient kgAnd coefficient of inertia kin(ii) a The target is the number of intersections;
and 3, calculating the repulsive force of a simple force guidance algorithm: (1) when the actual distance between the nodes is greater than the ideal length, the size of the attractive force is influenced by the difference between the actual distance between the nodes and the ideal length and is in a direct proportion relation; (2) repulsion action exists between any nodes, and the size of the repulsion is in inverse proportion to the distance between the nodes:
(1) calculating the gravitation:
wherein ,is node Vi and VjDistance between, kaIs the gravity coefficient, and L is the ideal length of the branch line;
(2) calculation of repulsion force
In the formula: m is the total number of nodes of the graph; k is a radical ofrFor other nodes to point ViThe repulsive force weight of (a);
step 4, calculating the point edge, edge repulsive force and total repulsive force; when the node repulsive force of a branch of a certain feeder line is processed, the method of the document [2] is simplified, namely, the formula for calculating the repulsive force is as follows:
in the formula:m1The number of nodes is not the number of the nodes of the feeder line; n is1And q is the number of nodes on the branch of the previous level of the current node of the feeder line and the number of the remaining nodes respectively; k is a radical ofr,1For node-to-node V on other feedersiWeight of repulsive force, kr,2Is a point ViTo the lastWeight of repulsion of node on level leg to node, kr,3Point to point V for the rest nodesiThe repulsive force weight of (a);
step 5, adding gravity to pull the nodes to enable the topology to be converged at the gravity center (0, 0) of the graph;
arbitrary node (n)x,ny) The gravity of the added gravity is as follows:
wherein The distance from the node to the key point;is gravity coefficient; k is a radical ofgIs a multiple of the gravity coefficient;
and 6, calculating the inertia force of the nodes i of the secondary branch line and the branch lines below the secondary branch line of the feeder line as follows:
in the formula:is node ViThe gravity centers of the nodes on the second level branch line and the branch lines below the second level branch line of the feeder line; k is a radical ofinIs the coefficient of inertia force;fx、fythe inertia force and the component force thereof on the rectangular coordinate are respectively;
step 7, calculating an improved node motion equation; after the inertia force is added, each node on the single line diagram is acted by four forces, and then the improved node motion equation is as follows:
in the formula: k is a node PiThe number of iterations of (a); the projection of the repulsive force, the attractive force and the repulsive force on the x axis or the y axis is applied to the node; dkFor k steps the distance of the node from the center point, gfIs a gravity coefficient; sig is an inertia force accepting or rejecting coefficient, and is 1 when the branch where the node is located is a non-primary branch, otherwise is 0; k is a radical ofinIs the coefficient of inertia force, (x)mean,i,ymean,i) The center of inertia of the nodes of the secondary branch line and the branch lines below the secondary branch line of the feeder line is shown;
step 8, judging whether the current intersection is 0, if so, finishing the algorithm, and outputting an optimal single line diagram and optimal acting force parameters; otherwise, repeating the steps 3 to 7.
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