CN112287500A - Grid planning method for power distribution network in grid based on optimal cutting - Google Patents
Grid planning method for power distribution network in grid based on optimal cutting Download PDFInfo
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- Y04S10/00—Systems supporting electrical power generation, transmission or distribution
- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
Abstract
The invention discloses a cutting-optimal-based grid planning method for a power distribution network in a grid, which relates to the technical field of power distribution network planning, in particular to a graph formed by each grid of a power distribution network, wherein the graph is formed by starting from an edge connected with a 10KV power supply point, a minimum cut in a cut set is selected each time, such as a spanning tree, until all nodes enter the spanning tree, the minimum cut refers to that the accessed edge meets the sum of equivalent annual investment cost of the edge and line loss increment of the spanning tree, and a connecting branch with the minimum equivalent annual cost is selected as a connecting line, so that an optimal or approximately optimal grid planning scheme is quickly obtained, the planning cost of the power distribution network is effectively reduced, the economic benefit of a power distribution network company is improved, compared with the traditional grid planning method, the practicability and the convenience are greatly improved, and the method is suitable for large-scale popularization and application in the industry.
Description
Technical Field
The invention relates to the technical field of power distribution network planning, in particular to a method for planning a power distribution network frame in a grid based on optimal cutting.
Background
Under the condition that a planning area is divided into a plurality of grids, the optimal planning of the power distribution grid frame in each grid refers to seeking a group of optimal decision variables (the path and the model of a feeder) on the premise of meeting the power supply, radial constraint, node voltage, feeder section current and constraint of a user, so that the sum of investment and operation cost is minimum.
The solving method for the power distribution network frame planning in the grid mainly comprises a mathematical optimization method and an artificial intelligence search algorithm. The radial constraint condition processing of the mathematical optimization algorithm is complex, and the developed algorithm is difficult to be practically applied; the artificial intelligence search algorithm not only can generate a large number of infeasible solutions, but also is easy to fall into a local optimal solution.
Disclosure of Invention
In order to solve the technical problems, the invention provides the grid planning method for the power distribution network in the grid based on the optimal cutting, the algorithm is simple, the optimal or approximately optimal grid planning scheme is quickly obtained, and the practical application is easy.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a mesh frame planning method for a distribution network in a grid based on optimal cutting is realized by the following steps:
step S1: the planned area in the grid forms a graph G, 10kV buses are combined into one vertex of the graph G and numbered as the 1 st vertex, the intersection points of loads and possible line corridors are other vertices of the graph G, the numbering is from 2 to N, the line corridors between the vertices are edges of the graph G, and the numbering is from 1 to L;
step S2: inputting data, inputting line model, active and reactive power of load, length of side, investment cost of unit length side, planning period, electricity price and discount rate;
step S3: calculating the annual value W of the investment cost of each side, wherein the annual value W of the investment cost of L is 1,2lThe calculation formula is as follows:
in the formula LlIs the length of the l-th side, K is the investment cost per unit length, the unit is Yuan/km, r is the discount rate, and T is the planning time limit;
step S4: forming a 1 st edge of each feeder line, and if one vertex of an edge L of the graph G is numbered as 1, putting the edge L into an optimal spanning tree set E (G), wherein the set E (G) corresponds to one feeder line, and the number of the edges in the set E (G) is the number of the feeder lines;
step S5: assigning, and enabling the vertex calculator n to be 2;
step S6: calculating a cut of an edge selected from the set G-e (G) and having only one vertex in the set e (G), and an edge selected from the set G-e (G) and having only one vertex in the set e (G), wherein if there are M edges, the M is 1, 2.
Gm=ΔPloss,m×tmax×C+Wm (2)
In the formula,. DELTA.Ploss,mIs the line loss increase, t, after increasing the mth side and its loadmaxIs the annual maximum load equivalent time, in hours, C is the electricity price, unit/kWh;
step S7: the shortest cut is selected from the M edges 1, 2., G of the M edges by comparing M1, 2., G of the M edges in step S5mTo obtain a minimum cutAnd cutting the minimum corresponding edge mminPut into the set E (G);
step S8: assigning, wherein n is n + 1;
step S9: judging that if N is less than N,turning to step S6; otherwise, calculating the line loss delta P of the radial network by using the forward-push-back power flowlossAnd further calculating the radial network equal-year-value cost according to the following formula:
turning to step S10;
step S10: the lengths of the branches are sequenced, all the branches are sequenced from small to large, the number B of the branches is 1, and the number of the branches is B;
step S11: searching the feeder lines connected with the branches, and for each branch, starting from two vertexes of the branch respectively, and searching the connected feeder lines on the obtained spanning tree by adopting depth-first;
step S12: judging that the connecting branch b is not a connecting line between the feeders if the connecting branch b is connected with the same feeder, and turning to the step S15;
step S13: judging that if two different feeder lines connected with the connecting branch b do not have tie lines, the connecting branch is a tie line, and the feeder line is marked to have the tie line, and turning to the step S15;
step S14: judging that if one of the two different feeder lines connected with the branch b has a tie line, turning to the step S15;
step S15: judging, if the number B of the branch is equal to B +1, if B is less than or equal to B, turning to step S11; otherwise, go to step S16;
step S16: giving the junctor and the cost thereof, and calculating the equivalent annual cost of all the junctors according to the following formula:
in the formula NbIs the number of contact lines.
The invention discloses a cutting-optimal-based grid planning method for a power distribution network in a grid, and particularly relates to a graph formed by each grid of the power distribution network, which starts from an edge connected with a 10KV power supply point, selects a cutting-concentrated minimum cut such as a spanning tree each time until all nodes enter the spanning tree, wherein the minimum cut means that the accessed edge meets the sum of equivalent annual investment cost of the edge and line loss increment of the spanning tree, and selects a connecting branch with the minimum equivalent annual cost as a connecting line, so that an optimal or approximately optimal grid internal grid planning scheme is quickly obtained, the power distribution network planning cost is effectively reduced, the economic benefit of a power distribution network company is improved, the practicability and the convenience are greatly improved compared with the traditional grid planning method, and the method is suitable for large-scale popularization and application in the industry.
Drawings
FIG. 1 is a diagram illustrating the formation of a planned area within a grid in an embodiment of the present invention;
FIG. 2 shows a radial network structure from S4 to S9 in an embodiment.
Detailed Description
The invention is described in detail below with reference to the following figures and specific embodiments:
the optimal grid cutting-based method for planning the power distribution network frame in the grid is realized by the following steps:
step S1: the planned area in the grid forms a graph G, 10kV buses are combined into one vertex of the graph G and numbered as the 1 st vertex, the intersection points of loads and possible line corridors are other vertices of the graph G, the numbering is from 2 to N, the line corridors between the vertices are edges of the graph G, and the numbering is from 1 to L;
step S2: inputting data, inputting line model, active and reactive power of load, length of side, investment cost of unit length side, planning period, electricity price and discount rate;
step S3: calculating the annual value W of the investment cost of each side, wherein the annual value W of the investment cost of L is 1,2lThe calculation formula is as follows:
in the formula LlIs the length of the first side, K is the investment cost per unit lengthThe unit is Yuan/km, r is the discount rate, and T is the planning time limit;
step S4: forming a 1 st edge of each feeder line, and if one vertex of an edge L of the graph G is numbered as 1, putting the edge L into an optimal spanning tree set E (G), wherein the set E (G) corresponds to one feeder line, and the number of the edges in the set E (G) is the number of the feeder lines;
step S5: assigning, and enabling the vertex calculator n to be 2;
step S6: calculating a cut of an edge selected from the set G-e (G) and having only one vertex in the set e (G), and an edge selected from the set G-e (G) and having only one vertex in the set e (G), wherein if there are M edges, the M is 1, 2.
Gm=ΔPloss,m×tmax×C+Wm (2)
In the formula,. DELTA.Ploss,mIs the line loss increase, t, after increasing the mth side and its loadmaxIs the annual maximum load equivalent time, in hours, C is the electricity price, unit/kWh;
step S7: the shortest cut is selected from the M edges 1, 2., G of the M edges by comparing M1, 2., G of the M edges in step S5mTo obtain a minimum cutAnd cutting the minimum corresponding edge mminPut into the set E (G);
step S8: assigning, wherein n is n + 1;
step S9: judging, if N is less than N, turning to step S6; otherwise, calculating the line loss delta P of the radial network by using the forward-push-back power flowlossAnd further calculating the radial network equal-year-value cost according to the following formula:
turning to step S10;
step S10: the lengths of the branches are sequenced, all the branches are sequenced from small to large, the number B of the branches is 1, and the number of the branches is B;
step S11: searching the feeder lines connected with the branches, and for each branch, starting from two vertexes of the branch respectively, and searching the connected feeder lines on the obtained spanning tree by adopting depth-first;
step S12: judging that the connecting branch b is not a connecting line between the feeders if the connecting branch b is connected with the same feeder, and turning to the step S15;
step S13: judging that if two different feeder lines connected with the connecting branch b do not have tie lines, the connecting branch is a tie line, and the feeder line is marked to have the tie line, and turning to the step S15;
step S14: judging that if one of the two different feeder lines connected with the branch b has a tie line, turning to the step S15;
step S15: judging, if the number B of the branch is equal to B +1, if B is less than or equal to B, turning to step S11; otherwise, go to step S16;
step S16: giving the junctor and the cost thereof, and calculating the equivalent annual cost of all the junctors according to the following formula:
in the formula NbIs the number of contact lines.
As shown in fig. 1, the present invention provides a specific embodiment, and the final rack planning scheme is obtained through the following specific steps.
Step S1: a graph G is formed in a planned area in a grid, a graph 1 is generated by 10kV buses, loads and possible line corridors in a certain grid of a certain planned area, and the 10kV buses are equivalent to 1 vertex due to power supply points.
Step S2: the unified line model is JKLGYJ-240mm2The impedance per unit length is 0.125+ j0.34 ohm, the cost per unit length is 20 ten thousand yuan/km, the maximum current is 553 amperes, the planning period is 20 years, the electricity price is 0.5 yuan/kilowatt hour, the discount rate is 2 percent, the annual maximum load equivalent time is 3230 hours, and the data of the side (feeder segment) is shown in the following table:
the node loads are shown in the following table:
numbering | Active power (MW) | Reactive power (Mvar) | Numbering | Active power (MW) | Reactive power (Mvar) |
1 | 0 | 0 | 18 | 0.08 | 0.014 |
2 | 0.631 | 0.097 | 19 | 0.461 | 0.089 |
3 | 0.077 | 0.014 | 20 | 0.052 | 0.01 |
4 | 0.502 | 0.09 | 21 | 1.387 | 0.211 |
5 | 0.293 | 0.053 | 22 | 0.998 | 0.173 |
6 | 0.321 | 0.059 | 23 | 1.609 | 0.287 |
7 | 0.687 | 0.108 | 24 | 0.05 | 0.008 |
8 | 0.315 | 0.055 | 25 | 0.628 | 0.107 |
9 | 0.772 | 0.128 | 26 | 1.487 | 0.261 |
10 | 0.076 | 0.012 | 27 | 0.63 | 0.112 |
11 | 1.712 | 0.269 | 28 | 1.295 | 0.212 |
12 | 1.224 | 0.215 | 29 | 0.514 | 0.086 |
13 | 0.046 | 0.007 | 30 | 0.076 | 0.014 |
14 | 0.473 | 0.09 | 31 | 0.458 | 0.076 |
15 | 0.122 | 0.02 | 32 | 0.16 | 0.026 |
16 | 0.074 | 0.013 | 33 | 0.46 | 0.08 |
17 | 0.398 | 0.069 | 34 | 0.151 | 0.026 |
Step S3: the annual investment cost value of each edge is as follows:
step S4: the 1 st edge of each feeder is as follows:
feeder line name | Numbering | Starting node | End node |
|
1 | 1 | 2 |
|
3 | 1 | 21 |
|
2 | 1 | 9 |
|
4 | 1 | 28 |
Step S5 to step S9: the edges added for each iteration and the optimum are cut as follows
Number of iterations | Edge | Cutting (Wanyuan) | Number of iterations | Edge | Cutting (Wanyuan) |
1 | 6 | 1.34616 | 16 | 40 | 6.70185 |
2 | 27 | 1.49032 | 17 | 16 | 6.73055 |
3 | 5 | 1.80583 | 18 | 19 | 8.22683 |
4 | 33 | 1.94689 | 19 | 24 | 9.86102 |
5 | 34 | 2.40397 | 20 | 25 | 10.9429 |
6 | 7 | 2.5698 | 21 | 26 | 11.4536 |
7 | 13 | 3.15313 | 22 | 32 | 12.6955 |
8 | 11 | 2.8637 | 23 | 44 | 14.013 |
9 | 12 | 2.52327 | 24 | 31 | 15.1955 |
10 | 10 | 3.80199 | 25 | 30 | 15.1284 |
11 | 41 | 3.60896 | 26 | 14 | 17.4386 |
12 | 20 | 3.73576 | 27 | 43 | 19.6299 |
13 | 9 | 4.15924 | 28 | 38 | 21.2661 |
14 | 21 | 5.12425 | 29 | 28 | 23.5862 |
15 | 35 | 6.51045 |
The radial network structure obtained from steps S4 to S9 is shown in fig. 2, and the calculated equivalent annual cost of the radial network is 49.4689 ten thousand yuan.
Step S10: the numbers and lengths of the branches are shown in the table
Steps S11 to S15: after iteration, as shown by the dashed line in fig. 2, the selected tie lines are branch 29 and branch 17;
step S16: the equivalent annual cost of the connecting line is calculated as follows: 1.8665 ten thousand yuan.
It is to be understood that the above description is not intended to limit the present invention, and the present invention is not limited to the above examples, and those skilled in the art may make modifications, alterations, additions or substitutions within the spirit and scope of the present invention.
Claims (1)
1. A mesh frame planning method for a distribution network in a grid based on optimal cutting is characterized by comprising the following steps:
step S1: the planned area in the grid forms a graph G, 10kV buses are combined into one vertex of the graph G and numbered as the 1 st vertex, the intersection points of loads and possible line corridors are other vertices of the graph G, the numbering is from 2 to N, the line corridors between the vertices are edges of the graph G, and the numbering is from 1 to L;
step S2: inputting data, inputting line model, active and reactive power of load, length of side, investment cost of unit length side, planning period, electricity price and discount rate;
step S3: calculating the annual value W of the investment cost of each side, wherein the annual value W of the investment cost of L is 1,2lThe calculation formula is as follows:
in the formula LlIs the length of the l-th side, K is the investment cost per unit length, the unit is Yuan/km, r is the discount rate, and T is the planning time limit;
step S4: forming a 1 st edge of each feeder line, and if one vertex of an edge L of the graph G is numbered as 1, putting the edge L into an optimal spanning tree set E (G), wherein the set E (G) corresponds to one feeder line, and the number of the edges in the set E (G) is the number of the feeder lines;
step S5: assigning, and enabling the vertex calculator n to be 2;
step S6: calculating a cut of an edge selected from the set G-e (G) and having only one vertex in the set e (G), and an edge selected from the set G-e (G) and having only one vertex in the set e (G), wherein if there are M edges, the M is 1, 2.
Gm=ΔPloss,m×tmax×C+Wm (2)
In the formula,. DELTA.Ploss,mIs the line loss increase, t, after increasing the mth side and its loadmaxIs the annual maximum load equivalent time, in hours, C is the electricity price, unit/kWh;
step S7: the shortest cut is selected from the M edges 1, 2., G of the M edges by comparing M1, 2., G of the M edges in step S5mTo obtain the minimumCuttingAnd cutting the minimum corresponding edge mminPut into the set E (G);
step S8: assigning, wherein n is n + 1;
step S9: judging, if N is less than N, turning to step S6; otherwise, calculating the line loss delta P of the radial network by using the forward-push-back power flowlossAnd further calculating the radial network equal-year-value cost according to the following formula:
turning to step S10;
step S10: the lengths of the branches are sequenced, all the branches are sequenced from small to large, the number B of the branches is 1, and the number of the branches is B;
step S11: searching the feeder lines connected with the branches, and for each branch, starting from two vertexes of the branch respectively, and searching the connected feeder lines on the obtained spanning tree by adopting depth-first;
step S12: judging that the connecting branch b is not a connecting line between the feeders if the connecting branch b is connected with the same feeder, and turning to the step S15;
step S13: judging that if two different feeder lines connected with the connecting branch b do not have tie lines, the connecting branch is a tie line, and the feeder line is marked to have the tie line, and turning to the step S15;
step S14: judging that if one of the two different feeder lines connected with the branch b has a tie line, turning to the step S15;
step S15: judging, if the number B of the branch is equal to B +1, if B is less than or equal to B, turning to step S11; otherwise, go to step S16;
step S16: giving the junctor and the cost thereof, and calculating the equivalent annual cost of all the junctors according to the following formula:
in the formula NbIs the number of contact lines.
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WO2004052073A2 (en) * | 2002-12-12 | 2004-06-24 | Bhagat Nitin S | Optimal feeder design in distribution system planning |
US20200257971A1 (en) * | 2019-01-11 | 2020-08-13 | Chongqing University | Full-linear model for optimal power flow of integrated power and natural-gas system based on deep learning methods |
CN110619454A (en) * | 2019-08-09 | 2019-12-27 | 东北大学 | Power distribution network planning method based on improved genetic algorithm and PRIM algorithm |
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