CN104134161A - Power distribution network feeder line segment equivalent reduction method - Google Patents
Power distribution network feeder line segment equivalent reduction method Download PDFInfo
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- CN104134161A CN104134161A CN201410310644.0A CN201410310644A CN104134161A CN 104134161 A CN104134161 A CN 104134161A CN 201410310644 A CN201410310644 A CN 201410310644A CN 104134161 A CN104134161 A CN 104134161A
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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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Abstract
The invention relates to a power distribution network feeder line segment equivalent reduction method, which belongs to the technical field of electric power system topology structure design. According to the method, firstly, a merging node rule base is built, and which nodes need to be merged is determined; the line outlet degree of reserving nodes is set to be 0, and the line outlet degree of merging nodes is still 2; then, the nodes with the line outlet degree of 2 are subjected to deep optimum searching, the nodes with the electric connection relationship are classified into one island, and each island is provided with only two nodes with the line outlet degree of 0; and the island with the on-island feeder line segment number greater than or equal to 2 is subjected to feeder line segment merging, a new feeder line segment is formed, and the two end points of the new feeder line segment are two nodes with the line outlet degree of 0 on the island; the nodes, except the nodes with the line outlet degree of 0, on each island are sequentially deleted; and all of the feeder line segments, except the new feeder line segment, on the islands are deleted. The power distribution network feeder line segment equivalent reduction method has the advantages that the system scale can be obviously reduced on the premise that the analysis precision is not reduced, so that the calculation efficiency of state estimation, tide and the like is indirectly improved, and the requirement of real-time calculation and dispatching can be met.
Description
Technical field
The invention belongs to electric system Topology Structure Design technical field, particularly a kind of method of distribution feeder section equivalence abbreviation.
Background technology
Power distribution network is the important component part of electrical network, is direct key link of directly coming into contacts with hundreds of millions users, and user's side response that intelligent grid is advocated mainly plays a role in power distribution network side, compares the feature that has self of power distribution network with traditional power transmission network:
1. the interstitial content of the model of provincial power transmission network is generally several thousand these magnitudes, power distribution network node is more, feeder line section is more, easily be all upper 100,000,1,000,000 scale, the feeder line scale of general small and medium-sized cities all surpasses several ten thousand, and 10kV node scale is all more than 1,000,000.
2. be different from electricity transmission three-phase parameter almost symmetry, load balancing, power distribution network triphase parameter has larger asymmetry, and the A of feeder line section, B, C three phases active power, reactive power difference are large, and degree of unbalancedness is high.
3. the feeder line section model of distribution network is many, and the feeder line section length difference opposite sex is large, and have only several meters, what have reaches several kms.
4. the device category that power distribution network comprises is more, various distributed power sources have surpassed hundreds of kind, their mathematical model is not identical, and traditional power transmission network only has the finite models such as generator, motor, feeder line section, transformer, load, switch, capacitor, reactor.
Cause due to the 1st, a lot of existing electrical network analysis software all cannot solve the network of huge size like this, the interstitial content of network to be solved is designated as to n, the limit that most of electrical network analysis software solves is generally n<5000, and while approaching the limit along with interstitial content, solve length consuming time, cannot meet the requirement of real-time control, scheduling.
Cause due to the 2nd, three-phase load, parameter have larger asymmetry, it is not high that tradition power transmission network is equivalent to by three-phase the result precision that the disposal route of single phase model obtains, therefore must adopt three-phase modeling, only consider three-phase three-wire system, the node scale of network to be asked is also increased to 3n by n, solving difficulty further increases, solves the time and further increase, if consideration three-phase four-wire system, the scale of node to be asked will approach 4n, solve the significantly increase especially of difficulty and time.Although adopt sparse matrix technology, can process more massive system, the Power System Analysis instrument of main flow has been introduced sparse matrix treatment technology mostly to improve analysis efficiency now, if but can carry out equivalent abbreviation from network initial model, from source, reduce node scale, introduce again sparse matrix technology, can get twice the result with half the effort.
Due to the cause of the 3rd, most of mature face generally can not directly apply to distribution network to the analysis tool of traditional power transmission network, and its main cause comprises two aspects, and the one, need to introduce a large amount of new models, the model of distributed power source is quite a lot of; The 2nd, the access of these models is often in lower electric pressure, generally, below 10kV, therefore to analyze comparatively accurately, need to be by 10kV network modelling, and traditional power transmission network analysis tool is limit by analytical scale, generally only to 35kV even 110kV carry out above modeling.In addition, more eurypalynous equipment access, has strengthened the difficulty of network abbreviation.
Cause due to the 4th, the greatest differences of feeder line section length, the greatest differences of its essential corresponding electric parameter (resistance, reactance), thereby cause the admittance matrix element difference of system large, the common cable shorting stub of take is example, and its impedance is very little, greatly (impedance is zero in corresponding admittance, admittance is infinitely great), cause like this transadmittance (nondiagonal element in admittance square formation is all transadmittance, and diagonal element is self-admittance) corresponding in system admittance battle array.Existing electrical network analysis instrument is mostly based on system admittance battle array, and some transadmittance of system admittance battle array that feeder line section difference in length causes is greatly crossed stability, precision, the speed that conference affects numerical analysis, further causes solving failure.
It is many that distribution feeder section presents segmentation, length otherness is large, existing distribution model is generally responsible for maintenance by GIS (Geographic Information System), the existence of a large amount of electric poles etc., cause feeder line section quantity too much, in fact apart from close feeder line section, its model is basically identical, if centre does not have load, distributed Voltage, transformer, switch etc., can carry out equivalence merges, thereby network is carried out to equivalent abbreviation, solve existing electrical network analysis means and calculate length consuming time, poor, the difficult problem restraining of computational accuracy.Given this, seek the method for efficient feeder line section equivalence abbreviation, and do not reduce the computational analysis precision of complex model, extremely urgent.
Summary of the invention
Object of the present invention is intended to solve the deficiencies in the prior art, a kind of method of distribution feeder section equivalent-simplification is proposed, by setting up merge node rule base, node is divided into and needs merge node and retain node two classes, and the dimension that goes out of setting reservation node is 2, then to retaining node, adopt the topology search of depth-first to form topological island, the feeder line section on Dui Ge island merges, after merging, generate new feeder line section, two on new feeder line section two end node Wei Gai islands retain node, the impedance parameter of new feeder line section is the feeder line section group impedance sum before merging, the admittance parameter of new feeder line section is the feeder line section admittance parameter sum before merging, equivalence by feeder line section merges, keeping under the prerequisite of computational accuracy, the scale of minimizing system, save storage space of database, for Power system state estimation, the real-time analysis modules such as trend calculating provide high-quality data, indirectly shortened electric system calculation services, the computing time of Optimized Operation, having improved electric system controls in real time, the counting yield of scheduling.
The method of the distribution feeder section equivalence abbreviation that the present invention proposes, comprises the following steps:
1) set up merge node rule base: rule base comprises that dimension is that 2 node and this node are not connected with switch, winding, load, capacitor, reactor or distributed power source, and this node needs to merge; The node at switch (comprising isolating switch and disconnecting link), winding two ends, be connected with the node of load, capacitor, reactor, distributed power source, two end nodes of switch, winding, and go out the node that dimension is greater than 2, are all the nodes that do not need merging, claim these nodes for retaining node;
2) dimension that goes out of reservation node is set to 0, and needing the dimension that of the node of merging is still 2;
After processing like this, all nodes can be divided into two classes, and a class is that dimension be zero node, and another kind of is that dimension be 2 node.
3) to going out dimension, be that 2 node carries out depth-first search, will have the node of electric connecting relation to be grouped into Yi Ge island with this node, on each island, having and only have two, to go out dimension be 0 node;
4) feeder line hop count is more than or equal to 2 island and carries out feeder line section merging, form a new feeder line section, the two-end-point of this feeder line section is that on island, to go out dimension be two nodes of 0, the impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and admittance equals all feeder line section admittance algebraic sum on this island;
5) on deletion island, going out dimension is 2 nodes, deletes all feeder line section except new feeder line section on island.
The method advantage of the distribution feeder section equivalence abbreviation that the present invention proposes is:
This method can not reduce under the prerequisite of analysis precision, significantly reduce system scale (node and feeder line section number all reduce), offer state estimation, trend etc. and calculate the more data of high-quality, thereby indirectly improved electric system counting yield, can meet the demand of real-time control, scheduling, merge feeder line section simultaneously and improved to a certain extent system admittance matrix, be conducive to improve Algorithm Convergence.
Accompanying drawing explanation
Fig. 1 is embodiment of the present invention power distribution network topology used schematic diagram.
Fig. 2 is the topological schematic diagram after embodiment equivalence abbreviation.
Embodiment
The method of the distribution feeder section equivalence abbreviation that the present invention proposes, by reference to the accompanying drawings and embodiment be described in detail as follows:
The method of the distribution feeder section equivalence abbreviation that the present invention proposes, comprises the following steps:
1) set up merge node rule base: rule base comprises that dimension is that 2 node and this node are not connected with switch, winding, load, capacitor, reactor or distributed power source, and this node needs to merge; The node at switch (comprising isolating switch and disconnecting link), winding two ends, be connected with the node of load, capacitor, reactor, distributed power source, two end nodes of switch, winding, go out the node that dimension is greater than 2, are all the nodes that do not need merging, claim these nodes for retaining node;
2) dimension that goes out of reservation node is set to 0, and needing the dimension that of the node of merging is still 2;
After processing like this, all nodes can be divided into two classes, and a class is that dimension be zero node, and another kind of is that dimension be 2 node.
3) to going out dimension, be that 2 node carries out depth-first search, will have the node of electric connecting relation to be grouped into Yi Ge island with this node, on each island, having and only have two, to go out dimension be 0 node; Specific explanations is as follows:
I electric island is designated as to Island
i, it is that 0 node is arranged in order each node and feeder line section that first on Cong Gai island goes out dimension.The m bar feeder line section set wherein comprising is designated as Seg
i, Seg
ij bar feeder line section be designated as s
ij; The m+1 a comprising node set is designated as Node
i, Node
iin j node be designated as n
ij, Island
ion feeder line section and node exist such relation: n
i1 s i1 n
i2 s i2 n
i3... .n
i m+1, node n like this
i1n
i m+1the dimension that goes out be 0, form the head and the tail node on electric island.
4) feeder line hop count is more than or equal to 2 island and carries out feeder line section merging, form a new feeder line section, the two-end-point of this feeder line section is that on island, to go out dimension be two nodes of 0, the impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and admittance equals all feeder line section admittance algebraic sum on this island;
5) on deletion island, going out dimension is 2 nodes, deletes all feeder line section except new feeder line section on island.
After the processing of this step, island Island
ion node and feeder line section have such relation.n
i1 s i n
i m+1。
In order more to clearly demonstrate the present invention, employing simple distribution network is as shown in Figure 1 as embodiments of the invention.In Fig. 1, distribution network comprises 1 generator G, 10 nodes (being numbered 1-10 in figure), 7 feeder line section (being a feeder line section between two nodes in figure), 2 switches and 3 loads.Wherein between 1 generator of node 1 place's carry, node 1,2, there is switch, on node 6,8,10, hang with between load, node 6,7 and have switch.
Above-mentioned power distribution network is carried out to equivalent abbreviation according to the following step,
(1) set up merge node rule base, go out dimension and be 2 node and this node and be not connected with switch, winding, load, capacitor, reactor or distributed power source, this node needs to merge; The node at switch (comprising isolating switch and disconnecting link), winding two ends, be connected with the node of load, capacitor, reactor, distributed power source, two end nodes of switch, winding, go out the node that dimension is greater than 2, are all the nodes that do not need merging, claim these nodes for retaining node;
According to above-mentioned rule, in known the present embodiment due to carry power equipment, node 1,6,8,10 should not merge (reservation node), node 2,7 is owing to being the node of switch, also should not merge (reservation node), node 4 is 3 owing to going out dimension, should not merge (reservation node); Only have 3,5,9 three nodes of node to merge.
(2) dimension that goes out of reservation node is set to 0, and needing the dimension that of the node of merging is still 2;
After processing like this, all nodes can be divided into two classes, and a class is that dimension be zero node, and another kind of is that dimension be 2 node, for; Merge the node that front many feeder line section come together in a bit, after the processing of step (2), it goes out dimension and is set to 0; The node of the electric system primary equipments such as carry load, power supply, capacitor, reactor, it goes out dimension and is set to 0; Remaining to go out dimension be that 2 node is all to need the node that merges, and remaining to go out dimension be that 2 node is node 3,5,9.
(3) to going out dimension, be that 2 node carries out depth-first search, will have the node of electric connecting relation to be grouped into Yi Ge island with this node, on each island, having and only have two, to go out dimension be 0 node;
Going out in this embodiment dimension and be 2 point is 3,5,9, and the dimension that goes out of other points is 0, can form 3 topological islands.The result of three somes depth-first search is as follows.
Island
1 3：3——2——4
Island
2 5：5——4——6
Island
3 9：9——4——10
Wherein for node 3 place topology island Island
1, its head and the tail node is respectively 2,4.For node 5 place topology island Island
2, its head and the tail node is respectively 4,6; For node 9 place topology island Island
3, its head and the tail node is respectively 4,10;
(4) feeder line hop count is more than or equal to 2 island and carries out feeder line section merging, form a new feeder line section, the two-end-point of this feeder line section is that on island, to go out dimension be two nodes of 0, the impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and admittance equals all feeder line section admittance algebraic sum on this island;
Abbreviation through this step, m bar feeder line section on i island Islandi, equivalent substitute by the new feeder line section after merging, for guaranteeing equivalence, electric parameter must be carried out to equivalence, in Power System Analysis, the most frequently used model of feeder line section is π model, series impedance and shunt admittance that its core electric parameter is feeder line section, the series impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and shunt admittance equals all feeder line section admittance algebraic sum on this island.
For Island
1what need merging is two feeder line section of node 2～3,3～4 correspondences, two end points that form new feeder line section are 2,4, and the series impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and shunt admittance equals all feeder line section admittance algebraic sum on this island.
For Island
2, two feeder line section of node 4～5,5～6 correspondences that need to merge, form a new feeder line section, and new two end points of feeder line section are 4,6.The series impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and shunt admittance equals all feeder line section admittance algebraic sum on this island.
For Island
3, two feeder line section of node 4～9,9～10 correspondences that need to merge, form a new feeder line section, and new two end points of feeder line section are 4,10.The series impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and shunt admittance equals all feeder line section admittance algebraic sum on this island.
(5) delete successively that on each island, to remove out dimension be other the node after two nodes of 0, delete all feeder line section except new feeder line section on island.
For Island
1, the dimension that goes out of 2,4 nodes is 0, retains; Node 3 is deleted, and two feeder line section of node 2～3,3～4 correspondences are deleted.
For Island
2, the dimension that goes out of 4,6 nodes is 0, retains; Node 5 is deleted, and two feeder line section of node 4～5,5～6 correspondences are deleted.
For Island
3, the dimension that goes out of 4,10 nodes is 0, retains; Node 9 is deleted, and two feeder line section of node 4～9,9～10 correspondences are deleted.
After this step, the network topology obtaining after abbreviation as shown in Figure 2.After equivalent abbreviation, system node comprises 1,2,4,6,7,8,10 totally 7 nodes, 2～4,4～6,6～7,4～10 totally 4 feeder line section, 1～2,7～8 totally two switches, three loads, a generator.
Again with a real case, analyze the effect of the abbreviation of feeder line section equivalence, in actual power distribution network, because cable distribution is first-class very many, sometimes nearly tens even tens of the feeder line section merging on Yi Ge island, compression effectiveness is remarkable.
In this case, comprise 15 feeder lines, totally 3501 feeder line section, 4827 nodes, after abbreviation, system scale becomes 1354 feeder line section, 2680 nodes, and the model before simplifying and after simplifying is as shown in table 1, system scale changes obviously, for the model before simplifying and after simplifying, calculate, the error of node voltage, load power, branch current all, in 10-4, meets the requirement of computational accuracy.
Network size contrast table before and after table 1 abbreviation
| Not before abbreviation | After abbreviation | Ratio of compression | |
| Nodes | 4827 | 2680 | 55％ |
| Feeder line hop count | 3501 | 1354 | 39％ |
Claims (1)
1. a method for distribution feeder section equivalence abbreviation, is characterized in that, the method comprises the following steps:
1) set up merge node rule base: rule base comprises that dimension is that 2 node and this node are not connected with switch, winding, load, capacitor, reactor or distributed power source, and this node needs to merge; The node at switch, winding two ends, is connected with the node of load, capacitor, reactor, distributed power source, and two end nodes of switch, winding, and go out the node that dimension is greater than 2 are all not need the node that merges, claim these nodes for retaining node;
2) dimension that goes out of reservation node is set to 0, and needing the dimension that of the node of merging is still 2;
3) to going out dimension, be that 2 node carries out depth-first search, will have the node of electric connecting relation to be grouped into Yi Ge island with this node, on each island, having and only have two, to go out dimension be 0 node;
4) feeder line hop count is more than or equal to 2 island and carries out feeder line section merging, form a new feeder line section, the two-end-point of this feeder line section is that on island, to go out dimension be two nodes of 0, the impedance of new feeder line section equals all feeder line section impedance algebraic sum on this island, and admittance equals all feeder line section admittance algebraic sum on this island;
5) on deletion island, going out dimension is 2 nodes, deletes all feeder line section except new feeder line section on island.
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| CN201410310644.0A CN104134161A (en) | 2014-07-01 | 2014-07-01 | Power distribution network feeder line segment equivalent reduction method |
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| CN201410310644.0A CN104134161A (en) | 2014-07-01 | 2014-07-01 | Power distribution network feeder line segment equivalent reduction method |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106022964A (en) * | 2016-05-26 | 2016-10-12 | 东方电子股份有限公司 | SVG graphic flow direction identification method based on Euclidean path identification |
| CN111028332A (en) * | 2019-11-21 | 2020-04-17 | 浙江华云电力工程设计咨询有限公司 | Construction method and display method for power grid model |
| CN114727358A (en) * | 2018-04-27 | 2022-07-08 | 兰迪斯+盖尔创新有限公司 | Dynamic allocation processing among nodes in a wireless mesh network |
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2014
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106022964A (en) * | 2016-05-26 | 2016-10-12 | 东方电子股份有限公司 | SVG graphic flow direction identification method based on Euclidean path identification |
| CN106022964B (en) * | 2016-05-26 | 2019-06-21 | 东方电子股份有限公司 | A kind of recognition methods of the SVG figure trend flow direction differentiated based on European path |
| CN114727358A (en) * | 2018-04-27 | 2022-07-08 | 兰迪斯+盖尔创新有限公司 | Dynamic allocation processing among nodes in a wireless mesh network |
| CN114727358B (en) * | 2018-04-27 | 2023-11-21 | 兰迪斯+盖尔创新有限公司 | Method and apparatus for dynamic allocation processing between nodes in a wireless mesh network |
| CN111028332A (en) * | 2019-11-21 | 2020-04-17 | 浙江华云电力工程设计咨询有限公司 | Construction method and display method for power grid model |
| CN111028332B (en) * | 2019-11-21 | 2023-09-22 | 浙江华云电力工程设计咨询有限公司 | Construction method and display method for power grid model |
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