CN108899905A - The discrimination method and device of key node in a kind of complex electric network - Google Patents
The discrimination method and device of key node in a kind of complex electric network Download PDFInfo
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- CN108899905A CN108899905A CN201811018751.0A CN201811018751A CN108899905A CN 108899905 A CN108899905 A CN 108899905A CN 201811018751 A CN201811018751 A CN 201811018751A CN 108899905 A CN108899905 A CN 108899905A
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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
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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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Abstract
This application discloses the discrimination method and device of key node in a kind of complex electric network, the single failure unit and direct current transportation number of poles in power grid are determined；According to single failure unit and direct current transportation number of poles, power grid direct current topological model is established；Determine the trend concentration degree and Simpson's index of power grid direct current topological model interior joint；According to the trend concentration degree and Simpson's index of node, the energy release index of node is determined；The key node in index differentiation power grid is discharged according to energy.The technical solution of the application can extract the physical message of power grid each node under different running method, the trend concentration degree and Simpson's index of calculate node, and energy discharges index, and then judge the operation characteristic of the key node and power grid in power grid, overcome the problem that current power grid topology model only focuses on line connecting relation deficiency between node.
Description
Technical field
This application involves the discrimination methods and dress of key node in technical field of electricity more particularly to a kind of complex electric network
It sets.
Background technique
The method of existing electric power networks key node judgement is first to establish power network model, such as：Small-world network mould
Type, scale-free model, Local World model, improved Local World model, neighborhood evolutionary model, temporal-spatial evolution model etc.
Deng wherein most basic is small-world network model and scale-free model.Then on the basis of these models, based on multiple
Miscellaneous network theory analyzes the topological features of electric power networks and the Conduce Disciplinarian that develops, and calculates it to cascading failure institute
The influence of generation, the fragility of electric power networks and robustness.Currently, commonly portraying power grid characteristic based on Complex Networks Theory
Major parameter has：Characteristic path length, cluster coefficients, cluster degree and degree distribution.
But the discrimination method of the existing power grid key node based on Complex Networks Theory, have ignored operation of power networks side
The changeable feature of formula.Substantially stationary grid structure, the method for operation that power grid can arrange is varied, the different methods of operation
Under, grid disturbance brought by same node and to stablize risk be different.So how to provide a kind of effective pass
Key node authentication method becomes urgent problem to be solved in the industry.
Summary of the invention
This application provides the discrimination methods and device of key node in a kind of complex electric network, to realize in complex electric network ring
Under border, the effective purpose for recognizing key node.
On the one hand, the embodiment of the present application provides a kind of discrimination method of key node in complex electric network, including：
Determine the single failure unit and direct current number of poles in power grid；
According to the single failure unit and the direct current number of poles, power grid direct current topological model is established；
Determine the trend concentration degree and Simpson's index of the power grid direct current topological model interior joint；
According to the trend concentration degree of node and Simpson's index, the energy release index of node is determined；
The key node in index differentiation power grid is discharged according to the energy.
Optionally, it in the trend concentration degree and Simpson's index of the determining power grid direct current topological model interior joint, determines
The specific steps of the trend concentration degree of node include：
Obtain the power absolute value that the power grid direct current topological model interior joint number and node are carried；
According to the number of nodes and the power absolute value, the trend index of node is determined；
According to the trend index, the trend concentration degree of node is determined.
Optionally, the discrimination method further includes：
According to the trend index of node, the operation characteristic of power grid is analyzed.
Optionally, the discrimination method further includes：
According to the trend concentration degree of node, the operation characteristic of power grid is analyzed.
Optionally, the trend index according to node, the step of analyzing the operation characteristic of power grid include：
Calculate the cumulative probability distribution of the trend index；
Calculate Simpson's index of the trend index；
Operation according to Simpson's index of the cumulative probability of trend index distribution and the trend index, to power grid
Characteristic is analyzed.
Optionally, the trend concentration degree according to node, the step of operation characteristic of power grid is analyzed packet
It includes：
Calculate the cumulative probability distribution of the trend concentration degree；
Calculate Simpson's index of the trend concentration degree；
According to Simpson's index of the cumulative probability of trend concentration degree distribution and the trend concentration degree, to power grid
Operation characteristic is analyzed.
On the other hand, the embodiment of the present application provides a kind of device for identifying of key node in complex electric network, including：
Determination unit, for determining single failure unit and direct current number of poles in power grid；
Model foundation unit, for establishing power grid direct current topology according to the single failure unit and the direct current number of poles
Model；
First parameter determination unit, for determining the trend concentration degree and Xin Pu of the power grid direct current topological model interior joint
Gloomy index；
Second parameter determination unit, for according to node the trend concentration degree and Simpson's index, determine section
The energy of point discharges index；
Key node judgement unit, for discharging the key node in index differentiation power grid according to the energy.
Optionally, first parameter determination unit is also used to：
Obtain the power absolute value that the power grid direct current topological model interior joint number and node are carried；
According to the number of nodes and the power absolute value, the trend index of node is determined；
According to the trend index, the trend concentration degree of node is determined.
Optionally, the device for identifying further includes the first specificity analysis unit；
The first specificity analysis unit carries out the operation characteristic of power grid for the trend index according to node
Analysis.
Optionally, the device for identifying further includes the second specificity analysis unit；
The second specificity analysis unit, for the trend concentration degree according to node, to the operation characteristic of power grid into
Row analysis.
From the above technical scheme, the application provides the discrimination method and device of key node in a kind of complex electric network,
Determine the single failure unit and direct current number of poles in power grid；According to single failure unit and direct current number of poles, establishes power grid direct current and open up
Flutter model；Determine the trend concentration degree and Simpson's index of power grid direct current topological model interior joint；It is concentrated according to the trend of node
Degree and Simpson's index determine the energy release index of node；The key node in index differentiation power grid is discharged according to energy.This
The technical solution of application can extract the physical message of power grid each node under different running method, the trend collection of calculate node
Moderate and Simpson's index and energy discharge index, and then judge the operation characteristic of the key node in power grid and power grid,
Overcome the problem that current power grid topology model only focuses on line connecting relation deficiency between node.
Detailed description of the invention
In order to illustrate more clearly of the technical solution of the application, attached drawing needed in case study on implementation will be made below
Simply introduce, it should be apparent that, for those of ordinary skills, in the premise of not making the creative labor property
Under, it is also possible to obtain other drawings based on these drawings.
Fig. 1 is the flow chart of the discrimination method of key node in a kind of complex electric network provided by the embodiments of the present application；
Fig. 2 is electric power networks schematic diagram provided by the embodiments of the present application；
Fig. 3 is another electric power networks schematic diagram provided by the embodiments of the present application；
Fig. 4 is the structural block diagram of the device for identifying of key node in a kind of complex electric network provided by the embodiments of the present application.
Specific embodiment
In order to make those skilled in the art better understand the technical solutions in the application, below in conjunction with attached drawing, it is right
Technical solution in the embodiment of the present application is clearly and completely described.
Referring to Fig. 1, the embodiment of the present application provides a kind of discrimination method of key node in complex electric network, this method packet
It includes：
Step 101, the single failure unit and direct current number of poles in power grid are determined；Single failure unit in the application can be with
It is a single node.
Step 102, according to the single failure unit and the direct current number of poles, power grid direct current topological model is established；Power grid
Direct current topological model point centered on single failure unit obtains a plurality of branch being connected with the central point according to number of poles, and builds
The model of vertical power grid direct current topology.
Step 103, the trend concentration degree and Simpson's index of the power grid direct current topological model interior joint are determined；
Wherein it is determined that the specific steps of the trend concentration degree of node include：
Step 201, the power absolute value that the power grid direct current topological model interior joint number and node are carried is obtained；Into one
It walks, the single failure unit in model indicates that the number of nodes in model is indicated with N with i, the power absolute value that node i is carried
Use PiIt indicates.
Step 202, according to the number of nodes and the power absolute value, the trend index of node is determined；Further, according to
Following formula, the trend index of calculate node：
Wherein, EiIndicate the trend index of node i, PjIndicate the power absolute value that each node is carried in power grid.N is
Total node number in power grid.
By taking specific electric network composition as an example, illustrate PiOrigin, as shown in Fig. 2, in electric power networks comprising node i, node a,
Node b, node c and node d, wherein the flow direction of electric current is respectively to flow to node i by node a, node i is flowed to by node b, by saving
Point c flows to node i, node d is flowed to by node i, with PaiIndicate node a to node i branch power, with PbiIndicate that node b is arrived
The power of node i branch, with PciIndicate node c to node i branch power, with PidFunction of the expression node i to node d branch
Rate, then the power that node i can carry is Pai、Pbi、PciAnd PidSummation.Power transformation tiny node includes off line or online power,
According to Kirchhoff's law, the trend that node i is carried is Pi/2。
In addition, given constant sequence B={ B1,B2,B3,…,Bk,…,Bm, use nkIndicate trend index Ei∈(Bk,Bk+1]
Node number, the node number randomization in different trend interval indexs is obtained：
Wherein, PP (Ei) it is trend index Ei∈(Bk,Bk+1] number of nodes account for the ratio of total node number.It is entire by analyzing
The uniformity of electric network swim index may determine that the uniformity coefficient of grid nodes trend under the current method of operation, to whole network
The method of operation is quantitatively evaluated.The variation range of trend index is in B1-BmBetween, due to EiFor node transmitting trend divided by
Average value as averagely transmits the multiple of trend, so B1-BmRange will not be especially big.EiIn the section of B, distribution more collects
In, illustrate that the trend in network is more consistent by Node distribution, EiIn the section of B, distribution more disperses, and illustrates the tide of nodes
Stream has again and has gently, more uneven.
Optionally, the discrimination method further includes：
According to the trend index of node, the operation characteristic of power grid is analyzed.
Optionally, the trend index according to node, the step of analyzing the operation characteristic of power grid include：
Step 301, the cumulative probability distribution of the trend index is calculated；Further, trend is calculated according to the following formula to refer to
Number EiCumulative probability distribution：
Wherein, Pc(Ei) be distributed for the cumulative probability of trend index, constant E' ∈ [Emin,Emax], Emin、EmaxRespectively Ei
Minimum value and maximum value.
Step 302, Simpson's index of the trend index is calculated；Further, trend index is calculated according to the following formula
EiSimpson's index：
DE=1- ∑ PP (Ei)2,
Wherein, DEIllustrate trend index EiSimpson's index, also characterize EiDistribution situation, DEBigger, trend is pressed
Node distribution must be more uniform.
Step 303, according to Simpson's index of the cumulative probability of trend index distribution and the trend index, to electricity
The operation characteristic of net is analyzed.
Step 203, according to the trend index, the trend concentration degree of node is determined.Further, it calculates according to the following formula
The trend concentration degree of node：
Wherein, kiThe degree for indicating node i, is defined as the number for other nodes connecting with the node, CiIndicate node i
Trend concentration degree is defined as the ratio of the node load power and the node degree, and presses the whole network standardizing average values, characterizes
The average value of node single branch carrying trend.
Typically for the high node of trend index, if network topology degree is high, the operation risk faced is equally small, together
When, node is generally substation, and the branch being connected with node is transmission line of electricity, and the probability of malfunction that N-1 occurs for transmission line of electricity is greater than
The whole station probability of malfunction of substation, therefore the trend concentration degree calculation formula as shown in above formula is defined, N-1 failure here is
Refer to that transmission line of electricity loses the failure of a conveying branch.
Optionally, the discrimination method further includes：
According to the trend concentration degree of node, the operation characteristic of power grid is analyzed.
Optionally, the trend concentration degree according to node, the step of operation characteristic of power grid is analyzed packet
It includes：
Step 401, the cumulative probability distribution of the trend concentration degree is calculated；Further, trend is calculated according to following equation
The cumulative probability of concentration degree is distributed：
Wherein, Pc(Ci) be distributed for the cumulative probability of trend concentration degree, constant C' ∈ [Cmin,Cmax], Cmin、CmaxRespectively
CiMinimum value and maximum value.
Step 402, Simpson's index of the trend concentration degree is calculated；Further, trend collection is calculated according to the following formula
Moderate CiSimpson's index：
DC=1- ∑ PP (Ci)2,
Wherein, DCIllustrate trend concentration degree CiSimpson's index, also characterize CiDistribution situation, DCIt is bigger, trend
It is distributed more uniform by branch.
Step 403, Simpson's index with the trend concentration degree is distributed according to the cumulative probability of the trend concentration degree,
The operation characteristic of power grid is analyzed.
The bigger node of trend concentration degree, operation risk are bigger.
(node) average trend that the average value of the trend concentration degree of all node is is known as network in electric power networks is concentrated
Degree, is denoted as<C>.I.e.：
Wherein, Simpson's index of calculate node according to the following formula：
Wherein, DiIndicate Simpson's index of node i, DiMinimum be 0, peak isThe degree of node i
Higher, Branch Power Flow distribution is more uniform, and Simpson's index is bigger, and for branch trouble, the uniformity that trend is redistributed also can
It is higher, it is smaller to impact risk caused by system.As shown in figure 3, trend can be transferred to neighbouring branch when branch id failure on-off
Road ai, bi and ci.Trend is bigger before id failure, bigger to the disturbance of system, and the operation risk of system is bigger, therefore, for tide
The same node of adfluxion moderate can still generate big impact to system, cause if the trend of each branch is unevenly distributed
Operation risk, such case are had outstanding performance when alternating current-direct current combined hybrid system direct current is latched, then, the trend of definition node i
Simpson's index, to characterize the trend distribution consistency degree for the branch being connected with the node.Simpson's index is to reactant
The multifarious index of kind can be with the uniformity of reaction species when richness is the same.The circuitry number being connected with node i (saves
Point degree k) is mapped as the species number of the group, and Branch Power Flow is mapped as the quantity of each species.
Step 104, according to the trend concentration degree of node and Simpson's index, determine that the energy release of node refers to
Number；Further, the energy of calculate node discharges index according to the following formula：
Si=α Ei+βCi+γ(1-Di),
Wherein, SiIndicate that the energy of node i discharges index, α indicates the trend exponential effect factor, and β indicates trend concentration degree
Impact factor, γ indicates Simpson's exponential effect factor, when α takes large values, and β, γ get the small value, highlights individual node failure to being
It is impacted caused by system, when α gets the small value, and β, γ take large values, highlights the impact caused by system of the connected branch trouble of node i.Ei
The multiple of average nodal trend is accounted for for the trend of node i carrying, general value is between 0 to 10；Similarly, CiValue also 0 to 10
Between；(1-Di) value in 1/kiTo between 1；α, β and γ value can determine each parameter according to the results of calculation of electric power networks
Range after select suitable value to determine the criticality of node i, it is proposed that α, β value are close, and γ takes 1 to 5 times of α, β.
In addition, the trend index of node i characterizes the tide flow of node carrying, trend index is bigger, and system is once lost
Node i is gone, energy release is bigger, and the impact of all systems is bigger；Trend concentration degree characterizes node i institute's chord road carrying trend
Size, Simpson's index characterize the uniformity of branch carrying trend distribution, and trend concentration degree is higher, and Simpson's index is smaller,
Node discharges big branch there are energy.
Step 105, the key node in index differentiation power grid is discharged according to the energy.SiIt is bigger, show node i and with
Energy release caused by the connected branch trouble of node i is bigger, bigger to the impact of system, according to SiSize, can differentiate
The key node of complex electric network.
It is worth noting that the power supply booting of power grid can regulate and control, therefore distribution of the trend in power grid is also to adjust
Control and variation, if trend is excessively concentrated, may cause single failure and cause big destruction, such operation characteristic to power grid
It does not take.
From the above technical scheme, embodiments herein provides a kind of identification side of key node in complex electric network
Method can extract the physical message of power grid each node under different running method, the trend concentration degree and Xin Pu of calculate node
Gloomy index and energy discharge index, and then judge the operation characteristic of the key node in power grid and power grid, overcome at present
Power grid topology model only focus on the problem of line connecting relation deficiency between node.
In addition, technical solution provided by the present application passes through the trend index of definition node and the distribution of its cumulative probability, tide
Simpson's index of stream index, can be with the criticality of quantitative analysis node, the trend distributed architecture of grid nodes；Pass through definition
The trend concentration degree of node and Simpson's index of the distribution of its cumulative probability, trend concentration degree, can be with quantitative analysis and node
The trend of associated branch carries the trend distributed architecture of degree, grid branch；The energy of proposition discharges index, it is contemplated that loses list
A node and the comprehensive condition that branch is connect with node can be applied to stress not by the setting of different impact factors
With the identification of the power grid key node of fault type.
Referring to fig. 4, the embodiment of the present application provides a kind of device for identifying of key node in complex electric network, the device packet
It includes：
Determination unit 41, for determining single failure unit and direct current number of poles in power grid；
Model foundation unit 42, for establishing power grid direct current and opening up according to the single failure unit and the direct current number of poles
Flutter model；
First parameter determination unit 43, for determining the trend concentration degree of the power grid direct current topological model interior joint and pungent
General gloomy index；
Second parameter determination unit 44, for according to node the trend concentration degree and Simpson's index, determine
The energy of node discharges index；
Key node judgement unit 45, for discharging the key node in index differentiation power grid according to the energy.
Optionally, first parameter determination unit is also used to：
Obtain the power absolute value that the power grid direct current topological model interior joint number and node are carried；
According to the number of nodes and the power absolute value, the trend index of node is determined；
According to the trend index, the trend concentration degree of node is determined.
Optionally, the device for identifying further includes the first specificity analysis unit；
The first specificity analysis unit carries out the operation characteristic of power grid for the trend index according to node
Analysis.
Optionally, the device for identifying further includes the second specificity analysis unit；
The second specificity analysis unit, for the trend concentration degree according to node, to the operation characteristic of power grid into
Row analysis.
Optionally, the first specificity analysis unit, is also used to, and calculates the cumulative probability distribution of the trend index；
Calculate Simpson's index of the trend index；
Operation according to Simpson's index of the cumulative probability of trend index distribution and the trend index, to power grid
Characteristic is analyzed.
Optionally, the second specificity analysis unit, is also used to, and calculates the cumulative probability distribution of the trend concentration degree；
Calculate Simpson's index of the trend concentration degree；
According to Simpson's index of the cumulative probability of trend concentration degree distribution and the trend concentration degree, to power grid
Operation characteristic is analyzed.
From the above technical scheme, the application provides the discrimination method and device of key node in a kind of complex electric network,
Determine the single failure unit and direct current number of poles in power grid；According to single failure unit and direct current number of poles, establishes power grid direct current and open up
Flutter model；Determine the trend concentration degree and Simpson's index of power grid direct current topological model interior joint；It is concentrated according to the trend of node
Degree and Simpson's index determine the energy release index of node；The key node in index differentiation power grid is discharged according to energy.This
The technical solution of application can extract the physical message of power grid each node under different running method, the trend collection of calculate node
Moderate and Simpson's index and energy discharge index, and then judge the operation characteristic of the key node in power grid and power grid,
Overcome the problem that current power grid topology model only focuses on line connecting relation deficiency between node.
Those skilled in the art will readily occur to its of the application after considering specification and practicing application disclosed herein
Its embodiment.This application is intended to cover any variations, uses, or adaptations of the application, these modifications, purposes or
Person's adaptive change follows the general principle of the application and including the undocumented common knowledge in the art of the application
Or conventional techniques.The description and examples are only to be considered as illustrative, and the true scope and spirit of the application are by following
Claim is pointed out.
It should be understood that the application is not limited to the precise structure that has been described above and shown in the drawings, and
And various modifications and changes may be made without departing from the scope thereof.Scope of the present application is only limited by the accompanying claims.
Claims (10)
1. the discrimination method of key node in a kind of complex electric network, which is characterized in that including：
Determine the single failure unit and direct current number of poles in power grid；
According to the single failure unit and the direct current number of poles, power grid direct current topological model is established；
Determine the trend concentration degree and Simpson's index of the power grid direct current topological model interior joint；
According to the trend concentration degree of node and Simpson's index, the energy release index of node is determined；
The key node in index differentiation power grid is discharged according to the energy.
2. discrimination method according to claim 1, which is characterized in that the determining power grid direct current topological model interior joint
In trend concentration degree and Simpson's index, determine that the specific steps of the trend concentration degree of node include：
Obtain the power absolute value that the power grid direct current topological model interior joint number and node are carried；
According to the number of nodes and the power absolute value, the trend index of node is determined；
According to the trend index, the trend concentration degree of node is determined.
3. discrimination method according to claim 2, which is characterized in that the discrimination method further includes：
According to the trend index of node, the operation characteristic of power grid is analyzed.
4. discrimination method according to claim 2, which is characterized in that the discrimination method further includes：
According to the trend concentration degree of node, the operation characteristic of power grid is analyzed.
5. discrimination method according to claim 3, which is characterized in that the trend index according to node, to electricity
The step of operation characteristic of net is analyzed include：
Calculate the cumulative probability distribution of the trend index；
Calculate Simpson's index of the trend index；
According to Simpson's index of the cumulative probability of trend index distribution and the trend index, to the operation characteristic of power grid
It is analyzed.
6. discrimination method according to claim 4, which is characterized in that the trend concentration degree according to node is right
The step of operation characteristic of power grid is analyzed include：
Calculate the cumulative probability distribution of the trend concentration degree；
Calculate Simpson's index of the trend concentration degree；
Operation according to Simpson's index of the cumulative probability of trend concentration degree distribution and the trend concentration degree, to power grid
Characteristic is analyzed.
7. the device for identifying of key node in a kind of complex electric network, which is characterized in that including：
Determination unit, for determining single failure unit and direct current number of poles in power grid；
Model foundation unit, for establishing power grid direct current topological model according to the single failure unit and the direct current number of poles；
First parameter determination unit, trend concentration degree and Simpson for determining the power grid direct current topological model interior joint refer to
Number；
Second parameter determination unit, for according to node the trend concentration degree and Simpson's index, determine node
Energy discharges index；
Key node judgement unit, for discharging the key node in index differentiation power grid according to the energy.
8. device for identifying according to claim 7, which is characterized in that first parameter determination unit is also used to：
Obtain the power absolute value that the power grid direct current topological model interior joint number and node are carried；
According to the number of nodes and the power absolute value, the trend index of node is determined；
According to the trend index, the trend concentration degree of node is determined.
9. device for identifying according to claim 8, which is characterized in that the device for identifying further includes the first specificity analysis list
Member；
The first specificity analysis unit analyzes the operation characteristic of power grid for the trend index according to node.
10. device for identifying according to claim 8, which is characterized in that the device for identifying further includes the second specificity analysis
Unit；
The second specificity analysis unit divides the operation characteristic of power grid for the trend concentration degree according to node
Analysis.
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