Electric power communication coupling system vulnerability assessment method and system based on complex network
By establishing complex dependent network models and improving graph attack methods, combining adaptive load-capacity strategies, evaluating the vulnerability of complex power communication coupled systems, the problem of difficult to quantitatively evaluate in the prior art is solved, and the system robustness and network security enhancement are achieved.
Patent Information
- Application Number
- CN202510063210.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-15
- Publication Date
- 2025-05-30
AI Technical Summary
The prior art is difficult to effectively evaluate the vulnerability of complex power communication coupling systems, especially in terms of information attacks and fault propagation, and lacks quantitative evaluation methods.
The vulnerability evaluation method of power communication coupled system based on complex networks is adopted, and by establishing a complex dependent network model, building an adjacent link matrix, determining coupling quantization indicators, and using improved graph attack methods and adaptive load-capacity strategies, network attacks and failure optimization are carried out, vertex vulnerability factors are calculated, and robust quantitative evaluation is performed.
The quantitative evaluation of the vulnerability of the power communication coupled network is achieved, the system robustness is improved, effective protection strategies are provided, and the network security of the power system is enhanced.
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Figure CN120075069A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of the operation stability of complex power communication systems, and particularly to a vulnerability assessment method and system for a power communication coupling system based on a complex network. Background Art
[0002] High-level information and communication technology is the key to the stable operation of the power system, but its failure will greatly affect the safe operation of power system equipment. Therefore, it is necessary to study the coupling model and risk assessment method of the communication network and the power physical network, effectively analyze the network security of the power system, and thus provide effective technical support for ensuring the power supply reliability of the system. The power communication network structure in our country is complex, and the characteristic states presented by the communication networks at each level are not the same, which has promoted the research and application of complex network theory to a new level. Although the foregoing research has to some extent adopted complex network theory to evaluate the vulnerability of power coupling network nodes and given a series of protection strategies, there is a lack of quantitative evaluation of the effectiveness of the corresponding protection strategies. The vulnerability assessment method for a power communication coupling system based on a complex network proposed by the present invention provides theoretical support for the optimization and improvement of the power network structure, power planning, and the effective prevention of cascading failure propagation.
[0003] From the perspective of traditional power communication network vulnerability analysis methods, the load-capacity models of related networks all assume that the propagation mode of faults within a single-sided network is consistent, but ignore the heterogeneity problem of propagation, which makes it difficult to distinguish the differences between the power grid and the communication network; at the same time, traditional graph attack methods cannot conduct quantitative research related to actual action paths, so it brings many inconveniences to vulnerability quantitative assessment; starting from a new idea, the present invention uses an improved graph attack algorithm and an adaptive capacity-load strategy to establish various information attack schemes for various components and an adaptive load-capacity failure model of the power communication coupling network, simulate through the constructed information attack scheme and cascading failure model, analyze the vulnerability of the power communication coupling network, calculate the specific vulnerability values of the failed nodes / branches, and conduct quantitative evaluation on the corresponding protection strategies, providing an effective method for quantitatively analyzing the vulnerability of the power communication network. Summary of the Invention
[0004] In view of the problems existing in the above-mentioned prior art, the present invention is proposed.
[0005] To solve the above technical problems, the present invention provides the following technical solution, a vulnerability assessment method for a power communication coupling system based on a complex network, including: establishing a power communication coupling network model based on a complex dependent network according to the structural parameters of the power grid, the generation rules of the power communication network, and the interaction mechanism of the complex dependent network, and constructing an adjacent link matrix;
[0006] Determine the coupling quantization index according to the established model;
[0007] Use the improved graph attack method to conduct a network attack, obtain the power communication coupling failure model, and calculate the failed nodes / branches;
[0008] Use the load-capacity adaptive strategy to optimize the failed nodes / branches and determine whether the important nodes or branches in the coupling network fail;
[0009] Conduct a vulnerability analysis on the power coupling network of all failed nodes / branches and calculate the specific values of the vertex vulnerability factors;
[0010] Introduce the vertex vulnerability factor quantization formula to conduct a robustness analysis and quantitative evaluation on the power coupling communication network under the complex dependent network with large calculated vulnerability values.
[0011] As a preferred solution of the vulnerability assessment method for the power communication coupling system based on complex networks according to the present invention, wherein: the establishment of the power communication coupling network model based on complex dependent networks includes,
[0012] The power network P is represented as G P (V P ,E P ), the set of all nodes in the network is V P , the total number of nodes is |V P |, the set of all branches is set as EP, and the total number of branches is set as |E P |. Let the adjacency matrix of G P (V P ,E P ) be a matrix of |V P |×|V P |, and it is a real symmetric matrix. Let the node P i P j ∈V P . If there is a physical connection between the node P i and the node P j , it is defined as: p ij = 1; otherwise, p ij = 0. Let G C (V C ,E C ) be the communication network C, and the adjacency matrix is a matrix of |V C |×|V C |, that is, a real symmetric matrix;
[0013] Constructing the coupling adjacent matrix includes: Let IM be the coupling matrix, defined as: a matrix of |V P |×|V C |. Let the node P i ∈VP C j ∈V C If there is a coupling relationship between node P i and C j then set IM ij = 1; otherwise, IM ij = 0.
[0014] As a preferred solution of the vulnerability assessment method for the power communication coupling system based on complex network described in the present invention, wherein: the determination of the coupling quantization index includes the criticality of power branches, the criticality of coupling bodies, and the coupling probability.
[0015] As a preferred solution of the vulnerability assessment method for the power communication coupling system based on complex network described in the present invention, wherein: the improved graph attack method includes, based on the principle of the traditional attack graph algorithm, placing all leaf nodes with in-degree value of 0 into the first-layer set L 1 inside, L 1 = X; traverse all vertices of the directed edges of the vertices in the set L1 to obtain the second-layer set L 2 ; until the last layer L n set is traversed and no more continue, set L n = Y, n is the depth corresponding to the network topology G, assuming that there is no intersection between the layer sets, when performing the traversal operation, the layer sets include leaf nodes and root nodes, adding virtual nodes to the root node L 2 hierarchical set to obtain the improved graph attack roadmap under scale-free.
[0016] As a preferred solution of the vulnerability assessment method for the power communication coupling system based on complex network described in the present invention, wherein: the load-capacity adaptive strategy includes that when node l fails, neighbor node j will obtain additional load ΔL ij , C j = (1 + β)L i , L i is the neighbor node set of i; K j is the proportion of the capacity of j in the neighbor nodes of node i; β is its load tolerance coefficient;
[0017] Considering the local load redistribution mode considering the remaining capacity of nodes, when there is a fault in node i in the network, then at time t, the additional load ΔL ij that neighbor node j can obtain is where u represents the strength parameter of load distribution.
[0018] As a preferred solution of the vulnerability assessment method for the power communication coupling system based on complex network described in the present invention, wherein: the calculation of the vertex vulnerability factor includes the vulnerability factor of vertex v in the i-th layer i of respectively represent the degree distributions of the vertices in the sets Ll+1 and Ll-1 corresponding to the attacked network vertex v i ; T(L l+1 ) and T(L l-1 ) respectively represent the number of vertices contained in the sets L l+1 and L l-1 ; α i represents that under each external condition, vertex v i triggers each vertex in the vertex set L l+1 , s represents the number of types of external conditions, π k represents the occurrence probability of the k-th external condition, and γ k represents the occurrence probability of the attack event represented by vertex v i .
[0019] As a preferred solution of the vulnerability assessment system for the power communication coupling system based on complex network described in the present invention, wherein: it includes a coupling network modeling module, a quantization index determination module, a network attack simulation module, a failure optimization strategy module, a vulnerability analysis module, and a robustness quantization evaluation module. Multiply the vulnerability factors c i of each attack path, where the higher T G indicates the higher the risk of the coupling network failure.
[0020] As a preferred solution of the vulnerability assessment system for the power communication coupling system based on complex network described in the present invention, wherein: it includes a coupling network modeling module, a quantization index determination module, a network attack simulation module, a failure optimization strategy module, a vulnerability analysis module, and a robustness quantization evaluation module.
[0021] A computer device includes a memory and a processor. The memory stores a computer program. The characteristic is that when the processor executes the computer program, it implements the steps of the method described in any one of the vulnerability assessment methods for the power communication coupling system based on complex network.
[0022] A computer-readable storage medium stores a computer program. The characteristic is that when the computer program is executed by a processor, it implements the steps of the method described in any one of the vulnerability assessment methods for the power communication coupling system based on complex network.
[0023] Advantages of the present invention: Based on the principle of traditional attack graph algorithms, an optimized attack graph method is adopted for hierarchical partitioning, avoiding the problem of vertex loss at a certain level. Based on the local load redistribution strategy of node capacity and using the adaptive load-capacity strategy, the robustness level of the system is improved. A vertex vulnerability factor quantization formula is introduced to quantify the vulnerability level of the power coupling network. BRIEF DESCRIPTION OF THE DRAWINGS
[0024] To more clearly illustrate the technical solutions of the embodiments of the present invention, the following will briefly introduce the drawings required for the description of the embodiments. Obviously, the drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can be obtained based on these drawings.
[0025] Figure 1 It is a schematic flowchart of a vulnerability assessment method for a power communication coupling system based on a complex network provided by an embodiment of the present invention.
[0026] As Figure 2 shown is the power communication coupling network architecture of the IEEE-118 node network provided by the present invention.
[0027] As Figure 3 shown is the specific simulation flowchart provided by the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS
[0028] To make the above objects, features, and advantages of the present invention more obvious and understandable, the following will provide a detailed description of the specific embodiments of the present invention with reference to the accompanying drawings of the specification. Obviously, the described embodiments are part of the embodiments of the present invention, not all of them. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the scope of protection of the present invention.
[0029] Embodiment 1
[0030] Referring to Figure 1 , it is the first embodiment of the present invention. This embodiment provides a vulnerability assessment method for a power communication coupling system based on a complex network, including:
[0031] Step S1, according to the structural parameters of the power grid, the generation rules of the power communication network, and the interaction mechanism of the complex interdependent network, establish a power communication coupling network model based on the complex interdependent network, and construct an adjacent link matrix;
[0032] Step S2, according to the established model, determine the coupling quantization indexes, including the key degree of power branches, the key degree of coupling bodies, and the coupling probability;
[0033] Step S3, perform a network attack using the improved graph attack method to obtain a power communication coupling failure model, and calculate the failed nodes / branches;
[0034] Step S4, use the load-capacity adaptive strategy to optimize the failed nodes / branches, and determine whether the important nodes or branches in the coupling network fail;
[0035] Step S5, conduct a vulnerability analysis on the power coupling network of all failed nodes / branches, and calculate the specific values of the vertex vulnerability factors;
[0036] Step S6, introduce the vertex vulnerability factor quantization formula, conduct a robustness analysis and quantitative evaluation on the power coupling communication network under the complex interdependent network with large calculated vulnerability values;
[0037] In the implementation case of the power communication coupling system vulnerability assessment method based on complex networks provided by the present invention,
[0038] Step S1 includes: Establishing a power communication coupling model based on a complex interdependent network includes: Assuming that the power network P is represented as G P (V P ,E P ), the set of all nodes in this network is set as V P , and the total number of nodes is set as |V P |. The set of all branches is set as EP, and the total number of branches is set as |E P |. Set the adjacency matrix of G P (V P ,E P ) as |V P |×|V P |, and it is a real symmetric matrix. Let the nodes P i and P j belong to V P . If there is a physical connection between the nodes P i and the node P j , it is defined as: p ij = 1, otherwise, p ij = 0. Similarly, set G C (V C ,E C ) as the communication network C, and its adjacency matrix is |V C |×|V C |, which is also a real symmetric matrix. Constructing the coupling adjacent matrix includes: Let IM be the coupling matrix, defined as: |V P |×|V C |. Let the nodes P i belong to V P , and C j belong to V C . If there is a node Pi , C j If there is a coupling relationship between them, then set IM ij = 1; otherwise, IM ij = 0.
[0039] Step S2 includes: determining the coupling quantization index, including: the criticality of the power branch, including: G and L respectively correspond to the generator and load node sets; P ij (m, n) is the active power value that appears on line l under the action of equal and opposite unit active power between power source node m and load node n, in the direction from i to j; w ij is the weight value for the power transmission from power source node m to load node n, and its calculation formula is: w ij = min(R mn , R m , R n ), where Rm represents the rated power generation capacity of node m, and Rn represents the maximum load demand of node n. The criticality of the coupling body includes: selecting the node jump surface connectivity to characterize the criticality of power node i, J is the maximum number of node jumps at the position of spacer node i, t ij is the connectivity between nodes from node i to the j-th jump surface, and the j-th jump surface is the node set with j jumps from spacer node i. The coupling probability includes: for the partially dependent network with unequal numbers of nodes, the coupling probability is where The norm ||IM|| of matrix IM is a form generalization of the vector 1-norm, representing the number of coupling edges.
[0040] Step S3 includes: improving the attack graph algorithm, including: based on the principle of the traditional attack graph algorithm, placing all leaf nodes with in-degree value of 0 into the first-layer set L 1 inside, L 1 = X; traverse all vertices of the directed edges of the vertices in set L1 to obtain the second-layer set L 2 ; and so on, until the last-layer set L n is traversed and no longer continues, then set L n = Y, where n is the depth corresponding to the network topology G, assuming that there is no intersection between the layer sets. When performing the traversal operation, assume that a certain layer set includes leaf nodes and root nodes. Add virtual nodes to the root node L 2 layer set to obtain the improved graph attack route map under scale-free;
[0041] Step S4 includes: the adaptive load-capacity strategy, including: when node l fails, its neighbor node j will obtain an additional load ΔL ij from node i in a certain proportion, C j = (1 + β)L i , L i is the set of neighbor nodes of i; K j is the proportion of the capacity of j within the neighbor nodes of node i; β is its load tolerance coefficient. Considering the local load redistribution mode considering the remaining capacity of the node, when there is a failure of node i in the network, then at time t, the additional load ΔL that its neighbor node j can obtain ij is u represents the intensity parameter of load distribution;
[0042] Step S5 includes: calculating the vertex vulnerability factor, including: the vulnerability factor of vertex v in the i-th layer i
[0043] respectively represent the degree distributions of the vertices in the sets Ll+1 and Ll-1 corresponding to attacking the vertex vi of the network; T(L l+1 ), T(L l-1 ) respectively represent the number of vertices contained in the sets L l+1 , L l-1 ; α i represents that under each external condition, vertex v i triggers each vertex in the vertex set L l+1 , s represents the number of types of external conditions, π k represents the occurrence probability of the k-th external condition, γ k represents the probability of the attack event represented by vertex v i ;
[0044] Step S6 includes: introducing the vertex vulnerability factor quantization formula Multiplying the vulnerability factors c of each attack path i can quantify the vulnerability level of the power coupling network, where T G The higher it is, the higher the failure risk of the coupling network.
[0045] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not restrictive. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be modified or equivalently replaced without departing from the spirit and scope of the technical solutions of the present invention, and they should all be covered within the scope of the claims of the present invention.
[0046] Embodiment 2
[0047] The second embodiment of the present invention, which is different from the previous embodiment in that:
[0048] If the above-mentioned functions are implemented in the form of software function units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art, or a part of this technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage medium includes: various media that can store program codes, such as USB flash drives, mobile hard disks, read-only memories (ROM, Read-Only Memory), random access memories (RAM, Random Access Memory), magnetic disks, or optical discs.
[0049] The logic and / or steps represented in the flowchart or otherwise described herein, for example, can be considered as a predefined sequence list of executable instructions for implementing logical functions, and can be specifically implemented in any computer-readable medium for use by an instruction execution system, apparatus, or device (such as a computer-based system, a system including a processor, or other systems that can fetch and execute instructions from the instruction execution system, apparatus, or device), or used in combination with these instruction execution systems, apparatus, or devices. For the purposes of this specification, a "computer-readable medium" can be any device that can contain, store, communicate, propagate, or transport a program for use by or in connection with an instruction execution system, apparatus, or device.
[0050] More specific examples (non-exhaustive list) of computer-readable media include the following: electrical connection parts with one or more wirings (electronic devices), portable computer disk cartridges (magnetic devices), random access memories (RAM), read-only memories (ROM), erasable programmable read-only memories (EPROM or flash memories), fiber optic devices, and portable compact disc read-only memories (CDROM). Additionally, the computer-readable medium can even be paper or other suitable media on which the program can be printed, because the program can be obtained electronically, for example, by optically scanning the paper or other media, then editing, interpreting, or otherwise processing it as necessary, and then storing it in a computer memory.
[0051] It should be understood that each part of the present invention can be implemented by hardware, software, firmware, or a combination thereof. In the above embodiments, multiple steps or methods can be implemented by software or firmware stored in a memory and executed by a suitable instruction execution system. For example, if implemented by hardware, as in another embodiment, any one or a combination of the following techniques well known in the art can be used: discrete logic circuits having logic gate circuits for implementing logical functions on data signals, application specific integrated circuits having appropriate combinational logic gate circuits, programmable gate arrays (PGAs), field programmable gate arrays (FPGAs), etc.
[0052] Embodiment 3
[0053] The third embodiment of the present invention provides a vulnerability assessment system for a power communication coupling system based on a complex network, which is characterized in that it includes a coupling network modeling module, a quantization index determination module, a network attack simulation module, a failure optimization strategy module, a vulnerability analysis module, and a robustness quantization evaluation module.
[0054] The coupling network modeling module establishes a power communication coupling network model based on a complex dependent network according to the structural parameters of the power grid, the generation rules of the power communication network, and the interaction mechanism of the complex dependent network, and constructs and obtains an adjacent link matrix;
[0055] The quantization index determination module determines the coupling quantization index according to the established model;
[0056] The network attack simulation module uses an improved graph attack method to perform a network attack, obtains a power communication coupling failure model, and calculates the failed nodes / branches;
[0057] The failure optimization strategy module uses a load-capacity adaptive strategy to optimize the failed nodes / branches and determine whether the important nodes or branches in the coupling network fail;
[0058] The vulnerability analysis module performs a vulnerability analysis on the power coupling network of all failed nodes / branches and calculates the specific values of the vertex vulnerability factors;
[0059] The robustness quantization evaluation module introduces a vertex vulnerability factor quantization formula to perform a robustness analysis and a quantization evaluation on the power coupling communication network under a complex dependent network with large calculated vulnerability values.
[0060] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be modified or equivalently replaced without departing from the spirit and scope of the technical solutions of the present invention, and they should all be covered within the scope of the claims of the present invention.
[0061] Example 4
[0062] Reference Figures 2 - 3 , which is the fourth embodiment of the present invention, provides a vulnerability assessment method for a power communication coupling system based on a complex network. In order to verify the beneficial effects of the present invention, scientific demonstration is carried out through experiments.
[0063] The present invention selects the power topology network structure of IEEE-118 nodes, establishes a power communication coupling network model under a complex interdependent network, and its network architecture is as Figure 2 shown. According to the specific simulation process in Figure 3 , different load distribution strategies are selected, and the corresponding network vulnerability values are calculated. The comparison of the robustness ratio values of the power information-physical interdependent network under different strategies is shown in Table 1.
[0064] Table 1 Comparison of the robustness ratio values of the power information-physical interdependent network under different strategies
[0065]
[0066]
[0067] As can be seen from the above table, compared with the traditional load distribution strategy, the load-capacity adaptive distribution strategy fully takes into account the real-time changes of the network nodes and branch loads, and at the same time considers the ability of the network nodes and branches to bear additional loads. This will greatly reduce the probability of load overload of network nodes and branches, reduce the failure risk of the coupling network, and thus enhance the robustness of the power information coupling network to a great extent.
[0068] In the case of a network attack, there will be certain differences in the robustness of the power information-physical interdependent network under various coupling modes. For specific situations, please refer to Table 2.
[0069] Table 2 Influence of coupling mode on the robustness of the interdependent network
[0070]
[0071]
[0072] According to the data in Table 2, if important points or branches of the power physical power network face attack failures, then for the communication nodes in the power communication interdependent network coupled in the disassortative manner, their influence at key positions will decrease, thus greatly reducing the failure risk during the coupling process and enhancing the robustness of the established power communication interdependent network.
[0073] In summary, the vulnerability assessment method of the power communication coupling system based on complex networks proposed by the present invention has good accuracy and effectiveness for quantitatively analyzing the vulnerability of complex power communication networks.
[0074] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be modified or equivalently replaced without departing from the spirit and scope of the technical solutions of the present invention, and they should all be covered by the scope of the claims of the present invention.
Claims
1. A vulnerability assessment method for power communication coupling system based on complex network, characterized by: include, According to the structural parameters of the power grid, the generation rules of the power communication network and the interaction mechanism of the complex interdependent network, a power communication coupling network model based on the complex interdependent network is established, and the adjacent link matrix is constructed. According to the established model, determine the coupling quantitative index; The improved graph attack method is used to carry out network attacks, obtain the power communication coupling failure model, and calculate the failed nodes / branches; Using load-capacity adaptive strategy, the failed nodes / branches are optimized to determine whether important nodes or branches in the coupled network are failed; Conduct vulnerability analysis on the power coupling network of all failed nodes / branches and calculate the specific value of the vertex vulnerability factor; A quantitative formula for vertex vulnerability factor is introduced to conduct robustness analysis and quantitative evaluation on power-coupled communication networks in complex interdependent networks with large calculated vulnerability values.
2. The vulnerability assessment method for a power communication coupling system based on a complex network as claimed in claim 1, characterized in that: The establishment of a power communication coupling network model based on a complex dependent network includes: The power network P is represented by G P (V P ,E P ), the set of all nodes in the network is V P , the total number of nodes is |V P |, the set of all branches is set to EP, and the total number of branches is set to |E P |, set G P (V P ,E P ) is the adjacency matrix of |V P |×|V P |, and is a real symmetric matrix, let node P i P j ∈V P , if node P i Node P j If there is a physical connection between them, it is defined as: ij =1, otherwise, p ij =0, set G C (V C ,E C ) is the communication network C, and the adjacency matrix is |V C |×|V C |, that is, a real symmetric matrix; Constructing the coupled adjacency matrix includes, let IM be the coupling matrix, defined as: |V P |×|V C |, let node P i ∈V P C j ∈V C , if node P i , C j If there is a coupling relationship between them, let IM ij =1, otherwise, IM ij =0.
3. The vulnerability assessment method for a power communication coupling system based on a complex network as claimed in claim 2, characterized in that: The determination of coupling quantitative indicators includes power branch criticality, coupling body criticality and coupling probability.
4. The vulnerability assessment method for a power communication coupling system based on a complex network as claimed in claim 3, characterized in that: The improved graph attack method includes, based on the principle of the traditional attack graph algorithm, placing all leaf nodes with in-degree value 0 into the first layer set L1, L1 = X; traversing all vertices of the directed edges of the vertices in the set L1 to obtain the second layer set L2; until the last layer L is traversed n The collection does not continue, let L n =Y, n is the depth corresponding to the network topology G. It is assumed that there is no intersection between the layer sets. When traversing, the layer set includes leaf nodes and root nodes. Virtual nodes are added to the root node L2 layer set to obtain an improved graph attack roadmap under scale-free conditions.
5. The vulnerability assessment method for a power communication coupling system based on a complex network as claimed in claim 4, characterized in that: The load-capacity adaptive strategy includes that when node l fails, neighbor node j will obtain additional load ΔL from node i in proportion ij , C j =(1+β)L i , L i is the set of neighbor nodes of i; K j is the capacity of j as a percentage of node i’s neighboring nodes; β is its load tolerance factor; Considering the local load redistribution mode of the node's remaining capacity, when node i in the network fails, the additional load ΔL that the neighbor node j can obtain at time t is ij yes u represents the intensity parameter of load distribution.
6. The method for vulnerability assessment of a power communication coupling system based on a complex network as claimed in claim 5, characterized in that: The calculation of the vertex vulnerability factor includes: i Vulnerability Factor Represent the attack network vertex v i The degree distribution of each vertex in the corresponding set Ll+1 and Ll-1; T(L l+1 )、T(L l-1 ) represent the set L l+1 , L l-1 The number of vertices included; α i Represents the vertex v under various external conditions i Trigger vertex set L l+1 Each vertex in, s represents the number of external conditions, π k represents the probability of occurrence of the kth external condition, γ k Represents vertex v i The probability of the attack event occurring.
7. The method for vulnerability assessment of a power communication coupling system based on a complex network according to claim 6, characterized in that: The formula for introducing the vertex vulnerability factor quantification includes: The vulnerability factor c of each attack path i Perform cumulative multiplication, where T G The higher the value, the higher the risk of coupling network failure.
8. A system based on the vulnerability assessment method of a power communication coupling system based on a complex network according to any one of claims 1 to 7, characterized in that: It includes coupled network modeling module, quantitative indicator determination module, network attack simulation module, failure optimization strategy module, vulnerability analysis module and robustness quantitative evaluation module.
9. A computer device comprising a memory and a processor, wherein the memory stores a computer program, wherein: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 7 are implemented.
10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.