Disaster resisting method and device based on power distribution information physical system and storage medium

Abstract

The invention relates to the technical field of power distribution network safety, and discloses a disaster resisting method and device based on a power distribution information physical system, and a storage medium, and the method comprises the steps: obtaining a composite fault scene set of power failure of a communication base station caused by the interruption of a power distribution line, and taking the minimum sum of the loss loads of all nodes as an optimization target when the composite fault degree is maximum; constructing an optimization objective function; constructing a reinforced resource quantity constraint, an active power balance constraint including a communication base station shutdown constraint, and a remote control enabling constraint; forming a target disaster defense strategy model with reactive power balance constraint, branch voltage drop constraint, line bearing capacity constraint, line on-off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconstruction constraint of the distribution line; and solving to obtain an optimal disaster resisting scheme, and reinforcing the target distribution line.

Description

Technical Field

[0001] This invention relates to the field of power distribution network security technology, and in particular to a disaster mitigation method, device and storage medium based on power distribution cyber-physical systems. Background Technology

[0002] With the continuous improvement of the informatization and intelligence of power systems, distribution networks have evolved from traditional power transmission networks into highly coupled cyber-physical systems. Under this system architecture, the correct operation of distribution network automation depends on the coordinated cooperation of communication equipment, which places higher demands on control reliability. In recent years, facing the increasing frequency of natural disasters, how to enhance the disaster resilience of distribution cyber-physical systems has become an important direction for research on the operational reliability of distribution networks.

[0003] Existing technologies, primarily focused on reinforcing power distribution lines to withstand disasters, typically only consider explicit fault modes such as line disconnection, failing to delve into the coupling effects between physical equipment and communication systems, and neglecting potential latent faults. Especially during natural disasters, the malfunction of communication base stations due to power outages can disrupt control links, potentially causing power distribution automation systems to fail and preventing remote control of tie switches to isolate faults and restore power. Therefore, existing strategies have limitations in fault modeling, lacking a systematic consideration of complex fault modes such as "communication base station malfunction due to power outages," and thus failing to fully reflect the true vulnerability of power distribution cyber-physical systems in disaster scenarios.

[0004] In summary, when facing natural disasters, the existing disaster mitigation strategies for power distribution networks have a single fault modeling dimension and fail to consider the indirect failure of communication base stations caused by cyber-physical coupling. As a result, the power line restoration schemes constructed by these strategies cannot effectively cope with the combined faults of power line interruption and communication base station power outage caused by natural disasters. There may be situations where the power line is conducting but the communication base station is out of power, resulting in the interruption of information transmission based on the control link. Consequently, it is impossible to isolate faults and restore power supply to the power distribution network in a timely and effective manner, thus affecting the disaster mitigation capability of the power distribution cyber-physical system. Summary of the Invention

[0005] Therefore, the technical problem to be solved by the present invention is to overcome the problem that the existing technology does not consider the indirect fault of the power outage of the communication base station caused by the interruption of the power distribution line in the power distribution line restoration scheme after the fault occurs, resulting in an incomplete fault model, which in turn causes the defense strategy to be interrupted in the control link, and thus cannot effectively isolate the fault and restore the power supply.

[0006] To address the aforementioned technical problems, this invention provides a disaster mitigation method based on a power distribution cyber-physical system, applicable to a power distribution network comprising nodes, distribution lines, communication base stations, and tie switches. Nodes include loads under distribution transformers and distributed power sources, comprising: Obtain a set of composite fault scenarios where communication base stations are shut down due to power line interruption. With the maximum degree of composite fault as the minimum sum of load loss of all nodes, construct an optimization objective function. A constraint on the quantity of reinforcement resources is established, ensuring that the total number of reinforcements for power distribution lines does not exceed the preset number of reinforcements. The net active power input is equal to the total active power output of the distributed power source minus the total load of the communication base station, and then minus the active power load demand of the node, thus constructing an active power balance constraint that includes the downtime constraint of the communication base station. Based on the operating status of the communication base station controlling the tie switch, the impact on the power distribution line containing the tie switch is used to construct remote control enable constraints. Based on the optimization objective function, the resource quantity constraint, the active power balance constraint including the communication base station shutdown constraint, the remote control enable constraint, and the reactive power balance constraint, branch voltage drop constraint, line carrying capacity constraint, line on / off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconfiguration constraint of the distribution line, a target disaster mitigation strategy model is constructed. Solve the target disaster mitigation strategy model to obtain the optimal disaster mitigation scheme; Based on the optimal disaster mitigation plan, the target power distribution line is reinforced.

[0007] Preferably, the objective function is optimized as follows: ; in, This describes a complex fault scenario where a communication base station experiences a power outage due to a break in the power distribution line. This represents a set of composite fault scenarios where a communication base station experiences a power outage due to a power distribution line interruption. The expression is: , To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred; Represents a collection of power distribution lines. Indicates the preset fault scale; Represents the set of nodes in a distribution network. Indicating the first in the distribution network The load loss of each node, .

[0008] Preferably, a constraint on the quantity of reinforcement resources is established, whereby the total number of reinforcements for power distribution lines does not exceed a preset number of reinforcements, as expressed as: ; in, Represents a collection of power distribution lines; To indicate power distribution lines Whether an integer variable is hardened Indicates power distribution lines Reinforced Indicates power distribution lines It was not reinforced; This indicates the preset reinforcement quantity.

[0009] Preferably, the active power balance constraint, which includes communication base station downtime constraints, is constructed by subtracting the total active power output of the distributed power source from the total load of the communication base station, and then subtracting the active power load demand of the nodes, based on the net active power input being equal to the total active power output of the distributed power source. This constraint is expressed as: ; in, Represents a collection of power distribution lines. This represents the parent node-line correlation matrix in the distribution network. This represents the node-line correlation matrix in a distribution network. Indicates power distribution lines The active power; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. This indicates that distributed generation in the distribution network is located at the node. Those who have contributed their efforts; This represents the set of communication base stations in the power distribution network. This represents the correlation matrix of communication base stations in the power distribution network. Represents the first in the set of communication base stations The power required for each communication base station; To represent the first in the set of communication base stations An integer variable representing the working status of each communication base station. Represents the first in the set of communication base stations One communication base station is in operation. Represents the first in the set of communication base stations One communication base station is out of power; Represents the set of nodes in a distribution network. Represents a node Active load, Represents a node The amount of active power loss.

[0010] Preferably, based on the operating status of the communication base station controlling the tie switch, the impact on the power distribution line containing the tie switch is constructed, and the constraint is expressed as follows: , ; in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; This refers to distribution lines in a distribution network that contain tie switches. A set of communication base stations for remote control. This represents the set of distribution lines in a distribution network that contain tie switches; To indicate the first An integer variable representing the working status of each communication base station. Indicates the first One communication base station is in operation. Indicates the first One communication base station is currently without power.

[0011] Preferably, the reactive power balance constraints, branch voltage drop constraints, line carrying capacity constraints, line on / off power flow constraints, fault logic constraints, voltage amplitude constraints, and load shedding constraints of the distribution line are constructed, including: The reactive power balance constraint is constructed by equating net reactive power input to total reactive power output of distributed generation minus node reactive power load demand, and is expressed as: ; in, Represents a collection of power distribution lines. This represents the parent node-line correlation matrix in the distribution network. This represents the sub-node-line correlation matrix in a distribution network. Indicates power distribution lines reactive power; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. Indicates distributed power sources at nodes Unproductive efforts; Represents the set of nodes in a distribution network. Represents a node reactive load, Represents a node The amount of reactive power loss; Based on the Big-M method, a branch voltage drop constraint is constructed by assuming that the voltage difference between the parent node and the child node equals the line impedance voltage drop, and is expressed as: ; in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; Represents a node The square of the voltage amplitude, This represents a preset constant in the Big-M method; Indicates power distribution lines The resistance, Indicates power distribution lines The reactance; The power transmitted by the distribution line does not exceed the thermal stability limit, and the line carrying capacity constraint is constructed as follows: And linearized equivalent to: ; in, Indicates power distribution lines The transmission capacity; Based on the impact of line on / off states on power flow, a line on / off power flow constraint is constructed, expressed as follows: , ; in, and They represent power distribution lines. The upper and lower limits of active power capacity, and They represent power distribution lines. The upper and lower limits of reactive power capacity; Based on the impact of power line disconnection faults on the line status, fault logic constraints are constructed, represented as follows: ; To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred; Based on the allowable range of node voltages, a voltage amplitude constraint is constructed, expressed as: ; and These represent the upper and lower limits of the voltage amplitude, respectively. A load reduction constraint is constructed, which assumes that the node load loss does not exceed the node load, and is expressed as follows: , .

[0012] Preferably, the reconfiguration constraints for the power distribution line include: The topological constraint is constructed based on the premise that the number of normally operating distribution lines equals the difference between the number of nodes and the number of root nodes in the distribution network, and is expressed as: ; in, This represents the total number of nodes in the node set of the distribution network. This represents the set of candidate root nodes in a distribution network. To represent nodes Is it an integer variable that is the root node? Represents a node As the root node, Represents a node Not the root node; Based on virtual power flow balance, root node representation, and distribution line status, virtual power flow constraints are constructed, including: ; , ; , ; in, Indicates power distribution lines The virtual trend.

[0013] Preferably, the nested CCG method is used to solve the target disaster mitigation strategy model to obtain the optimal disaster mitigation scheme, including: The target disaster mitigation strategy model is decomposed into upper-level problems and lower-level problems; The upper-level CCG is used to solve the upper-level problem, and the lower bounds of the defense strategy and the original problem are obtained. The defense strategy is passed to the lower-level problem, and the lower-level problem is relaxed and decomposed into a main problem and subproblems. The lower-level CCG is used to solve the problem and obtain the upper bound of the main problem and the lower bound of the subproblems. Determine whether the upper bound of the main problem and the lower bound of the subproblems satisfy the convergence requirement: If satisfied, the lower-level problem converges. The upper bound of the main problem is obtained and used as the upper bound of the original problem. The lower bound of the original problem is then updated using the lower bounds of the subproblems. Finally, it is determined whether the upper and lower bounds of the original problem satisfy the convergence requirement. If the conditions are met, the mitigation strategy obtained from solving the upper-level problem is taken as the optimal disaster mitigation solution.

[0014] This embodiment provides an apparatus for a disaster mitigation method based on a power distribution cyber-physical system, comprising: An optimization objective function construction module is used to obtain a set of composite fault scenarios where communication base stations are shut down due to power line interruption. The optimization objective function is constructed with the goal of minimizing the sum of the load loss of all nodes when the composite fault severity is at its maximum. The constraint construction module is used to construct a reinforcement resource quantity constraint based on the total number of reinforcements for distribution lines not exceeding the preset reinforcement quantity; to construct an active power balance constraint including communication base station shutdown constraints based on the net active power input equaling the total active power output of distributed power sources minus the total load of communication base stations, and then minus the active power load demand of nodes; and to construct a remote control enable constraint based on the impact of the operating status of communication base stations controlling tie switches on distribution lines including tie switches. The solution model construction module is used to construct the target disaster mitigation strategy model based on the optimization objective function, the constraint of the number of reinforcement resources, the active power balance constraint including the communication base station shutdown constraint, the remote control enable constraint, and the reactive power balance constraint, branch voltage drop constraint, line carrying capacity constraint, line on / off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconfiguration constraint of the distribution line. The solution module is used to solve the target disaster mitigation strategy model and obtain the optimal disaster mitigation scheme; based on the optimal disaster mitigation scheme, the target power distribution line is reinforced.

[0015] This embodiment provides a computer-readable storage medium storing a computer program thereon, which, when executed, implements the steps of the disaster mitigation method based on the power distribution cyber-physical system as described above.

[0016] Compared with the prior art, the above-described technical solution of the present invention has the following advantages:

[0017] The disaster mitigation method based on power distribution cyber-physical systems (PSS) described in this invention considers composite fault types such as power outages of communication base stations caused by power line interruptions. It incorporates indirect communication faults caused by functional failures of communication base stations due to power outages into the modeling scope to construct an optimization objective function. The optimization objective function constructed in this invention, based on a min-max-min three-level optimization problem, minimizes the impact of power outages by reinforcing power distribution lines to withstand extreme faults. This invention, by modeling on the discrete uncertainty set of traditional power line disconnection faults and integrating the coupling characteristics of communication base station power outages, achieves differentiated modeling and unified optimization of direct physical faults and indirect communication faults. This more comprehensively reflects the true vulnerability of the power distribution system under disaster conditions, effectively improving the scientific nature of PPS decision-making in responding to disasters. It avoids suboptimal mitigation strategies or overestimation of mitigation effects due to incomplete fault modes, thereby solving for disaster mitigation strategies that better match the actual operating scenarios of the power distribution network. This helps optimize the allocation of reinforcement resources and improve the power supply guarantee capability of PPS under natural disasters.

[0018] The remote control enable constraint of this invention considers the relationship between the power distribution line including the tie switch and the communication base station. Since the remote control and operation of the tie switch depends on the power supply status of the communication base station, the power distribution network performs fault isolation or microgrid reconfiguration by controlling the on / off state of the tie switch. If the communication base station loses power, the tie switch cannot be controlled, which may lead to failure of fault isolation or microgrid formation, resulting in an increase in the load shedding of the power distribution network. Therefore, the remote control enable constraint constructed by this invention further considers indirect faults such as power outages of communication base stations, avoids invalid remote control operations due to power outages of communication base stations, avoids interruption of control links, and makes the constructed optimal disaster mitigation scheme more reliable. Attached Figure Description

[0019] To make the content of this invention easier to understand, the invention will be further described in detail below with reference to specific embodiments and accompanying drawings, wherein: Figure 1 This is a flowchart of the steps of the disaster mitigation method based on the power distribution cyber-physical system provided by the present invention; Figure 2 This is a diagram of the power distribution network topology. Detailed Implementation

[0020] The present invention will be further described below with reference to the accompanying drawings and specific embodiments, so that those skilled in the art can better understand and implement the present invention. However, the embodiments described are not intended to limit the present invention.

[0021] In response to the cyber-physical system (CPS) characteristics of power distribution networks, this invention categorizes potential composite faults under natural disasters into two types: power line breaks and communication base station outages. These correspond to explicit physical faults and implicit communication faults caused by coupling relationships, respectively. Power line breaks refer to line interruptions caused by natural disasters, directly leading to regional load power loss. Communication base station outages, on the other hand, refer to the cessation of base station operation due to power supply interruptions, resulting in the failure of control command transmission and the inability to remotely control tie switches through the power distribution automation system, ultimately causing failure in fault isolation and power restoration. This embodiment, for the first time, incorporates the functional failure of communication base stations due to power outages into the modeling scope, treating it as an implicit communication fault distinct from explicit physical damage. This strategy, while continuing the discrete uncertainty set modeling method for traditional power line breakage faults, integrates the coupling characteristics of communication base station outages, achieving differentiated modeling and unified optimization of explicit and implicit faults. This effectively improves the scientific nature of disaster response decisions in power distribution CPS systems, avoiding suboptimal reinforcement schemes or overestimation of resilience due to incomplete fault modes.

[0022] Reference Figure 1 The diagram shows a flowchart of the disaster mitigation method based on a power distribution cyber-physical system provided by this invention. The specific steps include: S101: Obtain a set of composite fault scenarios where communication base stations are shut down due to power line interruption. With the maximum degree of composite fault as the minimum sum of load loss of all nodes as the optimization objective, construct an optimization objective function. S102: Establish a constraint on the quantity of reinforcement resources based on the principle that the total number of reinforcements for power distribution lines should not exceed the preset number of reinforcements. S103: The net active power input is equal to the total active power output of the distributed power source minus the total load of the communication base station, and then minus the active power load demand of the node, to construct an active power balance constraint that includes the downtime constraint of the communication base station. S104: Based on the operating status of the communication base station controlling the tie switch, construct remote control enable constraints on the power distribution lines containing the tie switch. S105: Based on the optimization objective function, the resource quantity constraint, the active power balance constraint including the communication base station shutdown constraint, the remote control enable constraint, and the reactive power balance constraint, branch voltage drop constraint, line carrying capacity constraint, line on / off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconfiguration constraint of the distribution line, construct the target disaster mitigation strategy model. S106: Solve the target disaster mitigation strategy model to obtain the optimal disaster mitigation scheme; S107: Based on the optimal disaster mitigation plan, reinforce the target power distribution line.

[0023] Specifically, in step S101, the constructed optimization objective function is expressed as: ; in, This describes a complex fault scenario where a communication base station experiences a power outage due to a break in the power distribution line. This represents a set of composite fault scenarios where a communication base station experiences a power outage due to a power distribution line interruption. The expression is: , To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred; Represents a collection of power distribution lines. Indicates the preset fault scale; Represents the set of nodes in a distribution network. Indicating the first in the distribution network The load loss of each node, .

[0024] Among them, the maximum degree of composite fault is the degree of fault in a composite fault scenario where the fault size is equal to the preset fault size.

[0025] This embodiment The three-layer optimization model consists of three layers: the outer layer uses the line reinforcement scheme as the decision variable, selecting the minimum sum of load loss of all nodes when the combined fault severity is maximized as the optimal objective; the middle layer uses the combined fault scenario as the decision variable, simulating different combined fault scenarios to verify the robustness of the reinforcement scheme; and the inner layer uses the network reconstruction strategy after the fault as the decision variable, aiming to minimize the load loss under a given reinforcement scheme and fault scenario. The optimization objective function in this embodiment considers indirect faults such as communication base station power outages in all three stages—prevention, defense, and recovery—in order to select a defense strategy that better suits the actual operation of the distribution network.

[0026] Specifically, in step S102 of this embodiment, the constraint on the number of hardened resources is represented as follows: ;in, Represents a collection of power distribution lines; To indicate power distribution lines Whether an integer variable is hardened Indicates power distribution lines Reinforced Indicates power distribution lines It was not reinforced; This indicates the preset reinforcement quantity. Based on the constraint of reinforcement resource quantity, the optimization algorithm can selectively reinforce the distribution lines that most significantly improve the system's resistance effect, while minimizing the load loss in the objective function. This reflects the balance between the limited resources and the necessity of reinforcement.

[0027] Specifically, in step S103 of this embodiment, the active power balance constraint that includes the communication base station shutdown constraint is constructed as follows: ; in, Represents a collection of power distribution lines. This represents the parent node-line correlation matrix in the distribution network. This represents the node-line correlation matrix in a distribution network. Indicates power distribution lines The active power; therefore This represents the net active power input of the distribution network; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. This indicates that distributed generation in the distribution network is located at the node. Those who have contributed their efforts; therefore, This indicates that distributed power sources always have active power output; This represents the set of communication base stations in the power distribution network. This represents the correlation matrix of communication base stations in the power distribution network. Represents the first in the set of communication base stations The power required for each communication base station; To represent the first in the set of communication base stations An integer variable representing the working status of each communication base station. Represents the first in the set of communication base stations One communication base station is in operation. Represents the first in the set of communication base stations One communication base station is without power; therefore, Indicates the total load of the communication base station; Represents the set of nodes in a distribution network. Represents a node Active load, Represents a node The amount of active power loss; therefore, This indicates the active power load demand of the node.

[0028] Specifically, in step S104 of this embodiment, the constructed remote control enable constraint is represented as follows: , ; in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; This refers to distribution lines in a distribution network that contain tie switches. A set of communication base stations for remote control. This represents the set of distribution lines in a distribution network that contain tie switches; To indicate the first An integer variable representing the working status of each communication base station. Indicates the first One communication base station is in operation. Indicates the first One communication base station is currently without power.

[0029] In this invention, the remote control and operation of the tie switch depend on the power supply status of the communication base station. The distribution network isolates faults or reconfigures microgrids by controlling the opening and closing of the tie switch. If the communication base station loses power, the tie switch cannot be controlled, which may lead to failure of fault isolation or microgrid formation, resulting in an increase in the load loss of the distribution network. Therefore, the remote control enable constraint of this invention considers the relationship between the distribution line containing the tie switch and the communication base station, and further considers indirect faults such as power outages of the communication base station, avoiding invalid remote control operations due to power outages of the communication base station, making the constructed optimal disaster mitigation scheme more reliable.

[0030] Specifically, in step S105 of this embodiment, when constructing the target disaster mitigation strategy model, the reactive power balance constraints of the distribution lines, branch voltage drop constraints, line carrying capacity constraints, line on / off power flow constraints, fault logic constraints, voltage amplitude constraints, load shedding constraints, and reconfiguration constraints used include:

[0031] ① A reactive power balance constraint is constructed based on the principle that net reactive power input equals total reactive power output of distributed generation minus node reactive power load demand, expressed as: ; in, Represents a collection of power distribution lines. This represents the parent node-line correlation matrix in the distribution network. This represents the sub-node-line correlation matrix in a distribution network. Indicates power distribution lines reactive power; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. Indicates distributed power sources at nodes Unproductive efforts; Represents the set of nodes in a distribution network. Represents a node reactive load, Represents a node The amount of reactive power loss;

[0032] ② Based on the Big-M method, a branch voltage drop constraint is constructed by assuming that the voltage difference between the parent node and the child node equals the line impedance voltage drop, which is expressed as: ; in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; Represents a node The square of the voltage amplitude, This represents a preset constant in the Big-M method; Indicates power distribution lines The resistance, Indicates power distribution lines The reactance;

[0033] ③ The power transmitted by the distribution line shall not exceed the thermal stability limit, and the line carrying capacity constraint shall be constructed as follows: And linearized equivalent to: ; in, Indicates power distribution lines The transmission capacity;

[0034] ④ Based on the impact of line on / off status on power flow, a line on / off power flow constraint is constructed, expressed as: , ; in, and They represent power distribution lines. The upper and lower limits of active power capacity, and They represent power distribution lines. The upper and lower limits of reactive power capacity;

[0035] ⑤ Based on the impact of power line open circuit faults on the line status, a fault logic constraint is constructed, represented as follows: ; To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred;

[0036] ⑥ Based on the allowable range of node voltage, a voltage amplitude constraint is constructed, expressed as: ; and These represent the upper and lower limits of the voltage amplitude, respectively.

[0037] ⑦ Construct a load reduction constraint based on the principle that the node load loss does not exceed the node load, as follows: , .

[0038] ⑧ Construct reconfiguration constraints for power distribution lines, including: The topological constraint is constructed based on the premise that the number of normally operating distribution lines equals the difference between the number of nodes and the number of root nodes in the distribution network, and is expressed as: ; in, This represents the total number of nodes in the node set of the distribution network. This represents the set of candidate root nodes in a distribution network. To represent nodes Is it an integer variable that is the root node? Represents a node As the root node, Represents a node Not the root node; Based on virtual power flow balance, root node representation, and distribution line status, virtual power flow constraints are constructed, including: ; , ; , ; in, Indicates power distribution lines The virtual trend.

[0039] Specifically, based on the above description, this embodiment utilizes a nested CCG method to solve the target disaster mitigation strategy model and obtain the optimal disaster mitigation scheme, including: The target disaster mitigation strategy model is decomposed into upper-level problems and lower-level problems; The upper-level CCG is used to solve the upper-level problem, and the lower bounds of the defense strategy and the original problem are obtained. The defense strategy is passed to the lower-level problem, and the lower-level problem is relaxed and decomposed into a main problem and subproblems. The lower-level CCG is used to solve the problem and obtain the upper bound of the main problem and the lower bound of the subproblems. Determine whether the upper bound of the main problem and the lower bound of the subproblems satisfy the convergence requirement: If satisfied, the lower-level problem converges. The upper bound of the main problem is obtained and used as the upper bound of the original problem. The lower bound of the original problem is then updated using the lower bounds of the subproblems. Finally, it is determined whether the upper and lower bounds of the original problem satisfy the convergence requirement. If the conditions are met, the mitigation strategy obtained from solving the upper-level problem is taken as the optimal disaster mitigation solution.

[0040] After obtaining the optimal disaster mitigation plan, this embodiment reinforces the target power distribution lines based on the instructions of the optimal disaster mitigation plan, thereby improving the resilience of the power distribution network.

[0041] The disaster mitigation method based on power distribution cyber-physical systems (PSS) described in this invention considers composite fault types such as power outages of communication base stations caused by power line interruptions. It incorporates indirect communication faults caused by functional failures of communication base stations due to power outages into the modeling scope to construct an optimization objective function. The optimization objective function constructed in this invention, based on a min-max-min three-level optimization problem, minimizes the impact of power outages by reinforcing power distribution lines to withstand extreme faults. This invention, by modeling on the discrete uncertainty set of traditional power line disconnection faults and integrating the coupling characteristics of communication base station power outages, achieves differentiated modeling and unified optimization of direct physical faults and indirect communication faults. This more comprehensively reflects the true vulnerability of the power distribution system under disaster conditions, effectively improving the scientific nature of PPS decision-making in responding to disasters. It avoids suboptimal mitigation strategies or overestimation of mitigation effects due to incomplete fault modes, thereby solving for disaster mitigation strategies that better match the actual operating scenarios of the power distribution network. This helps optimize the allocation of reinforcement resources and improve the power supply guarantee capability of PPS under natural disasters.

[0042] Based on the above embodiments, in this embodiment of the invention, the disaster mitigation method based on the power distribution cyber-physical system proposed in this embodiment is used to mitigate the combined faults of power distribution line interruption and communication base station power outage under natural disasters. The specific steps include:

[0043] S201: Modeling the objective function for disaster mitigation optimization: This strategy aims to determine an optimal set of power distribution line reinforcement schemes that minimizes the load loss of the power distribution cyber-physical system when facing compound faults caused by natural disasters. The constructed optimization objective function is expressed as: ; in, This describes a complex fault scenario where a communication base station experiences a power outage due to a break in the power distribution line. This represents a set of complex fault scenarios where a communication base station experiences a power outage due to a break in the power distribution line. Represents the set of nodes in a distribution network. Indicating the first in the distribution network The load loss of each node, ;

[0044] S202: Constraint Construction During the Natural Disaster Occurrence Phase: Because the apparent faults caused by natural disasters are highly uncertain and limited by insufficient historical data, it is difficult to establish an accurate probability distribution model. Therefore, this embodiment uses a discrete uncertainty set approach to construct a set of apparent fault scenarios to describe the various possible combinations of power line disconnection under natural disasters.

[0045] In this stage of modeling, only explicit physical faults of the line are modeled. However, implicit communication faults caused by power outages to communication base stations are not modeled through this uncertainty set, but are analyzed in subsequent models based on the power supply and demand relationship.

[0046] To control the severity of line faults in each scenario, the model introduces a fault scale constraint, limiting the number of lines that can be disconnected simultaneously, expressed as: ; in, To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred; Indicates the preset fault scale;

[0047] S203: Constraint Construction during the Power Distribution Line Reinforcement Phase Given the limited resources available for reinforcement, power distribution network management agencies typically need to prioritize and reinforce certain critical power distribution lines within a given reinforcement scale to improve the system's resilience and recovery efficiency in the face of complex faults.

[0048] This embodiment introduces a constraint on the quantity of hardening resources during the modeling process, limiting the allocation of protective resources to ensure the engineering feasibility of the optimization results, as shown below: ; in, Represents a collection of power distribution lines. , To indicate power distribution lines Whether an integer variable is hardened Indicates power distribution lines Reinforced Indicates power distribution lines It was not reinforced; Indicates the preset reinforcement quantity;

[0049] S204: Modeling of mitigation strategies during the fault isolation and recovery phase: This embodiment uses the DistFlow model to describe the power balance, node voltage drop, and branch power constraints of the distribution network, including:

[0050] ① Nodal power balance constraints, expressed as: ; ; In this context, the parent node of the distribution network refers to the starting point of each line, and the child node refers to the ending point of each line. This represents the parent node-line correlation matrix in the distribution network. This represents the node-line correlation matrix in a distribution network. Indicates power distribution lines The active power; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. This indicates that distributed generation in the distribution network is located at the node. Those who have contributed their efforts; This represents the set of communication base stations in the power distribution network. This represents the correlation matrix of communication base stations in the power distribution network. Represents the first in the set of communication base stations The power required for each communication base station; To represent the first in the set of communication base stations An integer variable representing the working status of each communication base station. Represents the first in the set of communication base stations One communication base station is in operation. Represents the first in the set of communication base stations One communication base station is out of power; Represents the set of nodes in a distribution network. Represents a node Active load, Represents a node The amount of active power loss; Indicates power distribution lines reactive power, Indicates distributed power sources at nodes Unproductive efforts Represents a node reactive load, Represents a node The amount of reactive power loss;

[0051] ② Branch voltage drop constraint, expressed as: ; in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; Represents a node The square of the voltage amplitude, This represents a preset constant in the Big-M method; Indicates power distribution lines The resistance, Indicates power distribution lines The reactance;

[0052] ③ Line carrying capacity constraints, expressed as: ; in, Indicates power distribution lines The transmission capacity; The line carrying capacity constraint is a quadratic constraint containing quadratic terms. Its feasible region is approximated by two square constraints, making the constraint equivalent to linearization, as follows: ;

[0053] ④ Based on the impact of line status on power flow, construct line on / off power flow constraints, expressed as: ; ; in, and They represent power distribution lines. The upper and lower limits of active power capacity, and They represent power distribution lines. The upper and lower limits of reactive power capacity;

[0054] ⑤ Based on the impact of line breakage faults on the line status, fault logic constraints are constructed, represented as follows: ;

[0055] ⑥ Voltage amplitude constraint, expressed as: ; in, and These represent the upper and lower limits of the voltage amplitude, respectively.

[0056] ⑦ With nodes If the load shedding does not exceed the node load, a load reduction constraint is constructed, expressed as: ; ;

[0057] S205: After a fault occurs, the distribution network can be remotely controlled via tie switches to change the network topology, coordinating with distributed generation to create a powerable microgrid, thereby reducing load loss. Remote control of the tie switches depends on the normal transmission of control commands. Based on the impact of communication base station power outages on the tie switches, a remote control enable constraint is constructed, expressed as: , ; in, This represents the set of distribution lines in a distribution network that contain tie switches. ; This refers to distribution lines in a distribution network that contain tie switches. A set of communication base stations used for remote control; To indicate the first An integer variable representing the working status of each communication base station. Indicates the first One communication base station is in operation. Indicates the first One communication base station is out of power;

[0058] S206: Modeling of defense strategies during system topology reconfiguration phase: System topology reconstruction should satisfy radial topology constraints, including:

[0059] ① The number of normally operating lines is equal to the difference between the number of distribution network nodes and the number of root nodes, expressed as: ; The root node refers to the starting point of power injection in the distribution network. When the distribution network is operating normally, there is only one starting point in the distribution network; however, after a manifest fault occurs, the distribution network is divided into multiple independent microgrids, and each microgrid will generate a new root node. This represents the total number of nodes in the node set of the distribution network. This represents the set of candidate root nodes in a distribution network. To represent nodes Is it an integer variable that is the root node? Represents a node As the root node, Represents a node Not the root node;

[0060] ② Virtual power flow constraints, represented as: ; , ; , ; in, Indicates power distribution lines The virtual trend.

[0061] S207: Based on the above-mentioned optimization objectives and all protection strategies, a two-stage robust optimization model is constructed, expressed as: ; st ; ; ; ; ; ; ; ; ; ; ; ; ; , ; , ; ;

[0062] S208: To solve this robust optimization model, existing studies often employ column-and-constraint generation (CCG) algorithms to decompose the original problem into upper-level and lower-level problems. In each iteration, the lower-level problem determines the fault scenario and operational decision with the objective of maximizing the load loss, and returns to the upper-level fault uncertainty set until the objective functions of both levels converge. However, because the lower-level problem introduces discrete integer variables such as line on / off states and base station power outage states, it is difficult to directly dualize the lower-level problem as a max problem. Therefore, this embodiment solves the two-stage robust optimization model proposed in this invention by nesting CCG algorithms.

[0063] S208-1: The two-stage robust optimization model is expressed in compact form as follows: ; st ; ; ; ; in, This represents a column vector consisting of integer variables indicating whether something is hardened. This represents a column vector consisting of continuous variables during the fault isolation and recovery phase. This represents a column vector consisting of integer variables during the fault isolation and recovery phase. and This is a predefined coefficient vector in the objective function; and This is the coefficient matrix of constraints during the reinforcement phase of power distribution lines. , , , and This is the coefficient matrix of constraints for the fault isolation and recovery phase;

[0064] S208-2: Decompose the compact two-stage robust optimization model into an upper-level problem and a lower-level problem, which are solved by the upper-level CCG and the lower-level CCG respectively.

[0065] ①Assume the set of fault scenarios returned by the lower-level CCG is And the operational decision in the corresponding scenario is , The mathematical model for the higher-level problem is as follows: ; st ; ; ; ; in, It serves as an auxiliary variable for the upper-level CCG.

[0066] ②In each fault scenario Below, the corresponding results It can be solved directly. Therefore, the upper-level problem is a relaxation problem of the original problem, and the obtained unloading amount provides a lower bound for the original problem. The upper bound of the original problem needs to be obtained by solving the lower-level problem through the lower-level CCG; the lower-level problem is expressed as: ; st ; ; ;

[0067] ③ Since the lower level contains discrete variables, it is still a robust optimization problem. Therefore, the lower level problem is further relaxed and decomposed into a main problem and sub-problems, providing upper and lower bounds for the lower level problem respectively.

[0068] In the first iteration of the lower-level CCG, the integer variables of the main problem are assigned a set of arbitrary integer vectors, and then the dual form of the main problem is expressed as: ; st ; ; ; ; in, For auxiliary variables of the lower-level CCG; This represents the dual variable corresponding to the constraint in the lower-level problem; Based on the given fault scenario, the sub-problem is represented as: ; st ; ;

[0069] S208-3: By solving the subproblems and analyzing the convergence of the upper bound of the main problem and the lower bound of the subproblems, if the requirements are met, the lower-level problem converges, and the upper bound of the original problem can be obtained. If the upper and lower bounds meet the convergence requirements, the optimal solution to the original problem can be obtained, and the optimal disaster mitigation scheme for dealing with compound faults can be obtained.

[0070] Based on the above embodiments, in this embodiment of the invention, the disaster mitigation method based on the power distribution cyber-physical system provided by the present invention is applied, in situations such as... Figure 2 The disaster mitigation strategy is constructed in the distribution network corresponding to the distribution network topology diagram shown. In this embodiment, the distribution network is a 33-node distribution network consisting of two communication base stations. The installation nodes of the communication base stations and the remotely controlled tie switches are shown in Table 1.

[0071] Table 1. Base station installation nodes and remote control communication switches base station Load Node Interconnection switch BS1 10 L35, L36 BS2 31 L36, L37

[0072] The simulation in this embodiment is , To verify the superiority of this invention, this embodiment sets up four scenarios for simulation: CASE1 does not consider the hidden communication fault due to power outage of the communication base station and does not reinforce the power distribution line; CASE2 considers the hidden communication fault due to power outage of the communication base station and does not reinforce the power distribution line; CASE3 does not consider the hidden communication fault due to power outage of the communication base station and reinforces the power distribution line; CASE4 considers the hidden communication fault due to power outage of the communication base station and reinforces the power distribution line. The load shedding and protection schemes for each scenario are shown in Table 2 after numerical simulation.

[0073] Table 2 Comparison of load loss and protection schemes in various scenarios Scene Loss of load / MW reinforcement solution CASE1 3.41 / CASE2 3.87 / CASE3 1.93 L1, L2, L12 CASE4 2.38 L1, L12, L29

[0074] Comparing CASE1 and CASE2 reveals that ignoring the implicit communication faults caused by power outages at communication base stations leads to an overly optimistic assessment of system resilience by distribution network management agencies, failing to accurately reflect the impact of disasters. Comparing CASE3 and CASE4 shows that ignoring these implicit communication faults causes the hardening strategy to deviate from its optimal form, weakening the system's disaster resilience under the same investment budget. Further comparison of CASE2 and CASE4 demonstrates that the disaster mitigation strategy proposed in this invention can significantly improve the safe operation level of the distribution cyber-physical system under natural disasters. This embodiment addresses the problem of communication base station functional failure due to power outages under natural disasters by supplementing the model with implicit communication faults caused by cyber-physical coupling relationships, effectively expanding the fault modeling boundary under disaster scenarios. Compared to traditional explicit fault models that only consider line disconnections, this invention can more comprehensively reflect the true vulnerability of the distribution system under disaster conditions, helping to optimize the effectiveness of hardening resource allocation and improve the power supply guarantee capability of the distribution cyber-physical system under natural disasters.

[0075] Based on the above embodiments, this invention provides a disaster mitigation device based on a power distribution cyber-physical system. The specific device may include: An optimization objective function construction module is used to obtain a set of composite fault scenarios where communication base stations are shut down due to power line interruption. The optimization objective function is constructed with the goal of minimizing the sum of the load loss of all nodes when the composite fault severity is at its maximum. The constraint construction module is used to construct a reinforcement resource quantity constraint based on the total number of reinforcements for distribution lines not exceeding the preset reinforcement quantity; to construct an active power balance constraint including communication base station shutdown constraints based on the net active power input equaling the total active power output of distributed power sources minus the total load of communication base stations, and then minus the active power load demand of nodes; and to construct a remote control enable constraint based on the impact of the operating status of communication base stations controlling tie switches on distribution lines including tie switches. The solution model construction module is used to construct the target disaster mitigation strategy model based on the optimization objective function, the constraint of the number of reinforcement resources, the active power balance constraint including the communication base station shutdown constraint, the remote control enable constraint, and the reactive power balance constraint, branch voltage drop constraint, line carrying capacity constraint, line on / off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconfiguration constraint of the distribution line. The solution module is used to solve the target disaster mitigation strategy model and obtain the optimal disaster mitigation scheme; based on the optimal disaster mitigation scheme, the target power distribution line is reinforced.

[0076] The disaster mitigation device based on the power distribution cyber-physical system in this embodiment is used to implement the aforementioned disaster mitigation method based on the power distribution cyber-physical system. Therefore, the specific implementation of the disaster mitigation device based on the power distribution cyber-physical system can be found in the embodiment section of the disaster mitigation method based on the power distribution cyber-physical system above. For example, the objective function construction module is used to implement step S101 in the disaster mitigation method based on the power distribution cyber-physical system; the constraint construction module is used to implement steps S102, S103 and S104 in the disaster mitigation method based on the power distribution cyber-physical system; the solution model construction module is used to implement step S105 in the disaster mitigation method based on the power distribution cyber-physical system; and the solution module is used to implement steps S106 and S107 in the disaster mitigation method based on the power distribution cyber-physical system. Therefore, its specific implementation can be referred to the description of the corresponding embodiments, and will not be repeated here.

[0077] Based on the above embodiments, this invention provides a computer-readable storage medium storing a computer program thereon, which, when executed, implements the steps of the disaster mitigation method based on the power distribution cyber-physical system as described above.

[0078] The disaster mitigation method, device, and storage medium based on power distribution cyber-physical systems (PSS) described in this invention consider complex fault types such as power outages of communication base stations caused by power line interruptions. It incorporates indirect communication faults caused by functional failures of communication base stations due to power outages into the modeling scope to construct an optimization objective function. The optimization objective function constructed in this invention, based on a min-max-min three-level optimization problem, minimizes the impact of power outages by reinforcing power distribution lines to withstand extreme faults. This invention, by modeling on the discrete uncertainty set of traditional power line disconnection faults and integrating the coupling characteristics of communication base station power outages, achieves differentiated modeling and unified optimization of direct physical faults and indirect communication faults. This more comprehensively reflects the true vulnerability of the power distribution system under disaster conditions, effectively improving the scientific nature of PPS decision-making in disaster response, avoiding suboptimal mitigation strategies or overestimation of mitigation effects due to incomplete fault modes, and thus solving for disaster mitigation strategies that better match the actual operating scenarios of the power distribution network. This helps optimize the allocation of reinforcement resources and improve the power supply guarantee capability of PPS under natural disasters.

[0079] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0080] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0081] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0082] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0083] Obviously, the above embodiments are merely illustrative examples for clear explanation and are not intended to limit the implementation. Those skilled in the art will recognize that other variations or modifications can be made based on the above description. It is neither necessary nor possible to exhaustively list all possible implementations here. However, obvious variations or modifications derived therefrom are still within the scope of protection of this invention.

Claims

1. A disaster mitigation method based on a power distribution cyber-physical system, applied to a power distribution network including nodes, distribution lines, communication base stations, and tie switches, wherein the nodes include loads under distribution transformers and distributed power sources, characterized in that, include: Obtain a set of composite fault scenarios where communication base stations are shut down due to power line interruption. With the maximum degree of composite fault as the minimum sum of load loss of all nodes, construct an optimization objective function. A constraint on the quantity of reinforcement resources is established, ensuring that the total number of reinforcements for power distribution lines does not exceed the preset number of reinforcements. The net active power input is equal to the total active power output of the distributed power source minus the total load of the communication base station, and then minus the active power load demand of the node, thus constructing an active power balance constraint that includes the downtime constraint of the communication base station. Based on the operating status of the communication base station controlling the tie switch, the impact on the power distribution line containing the tie switch is used to construct remote control enable constraints. Based on the optimization objective function, the resource quantity constraint, the active power balance constraint including the communication base station shutdown constraint, the remote control enable constraint, and the reactive power balance constraint, branch voltage drop constraint, line carrying capacity constraint, line on / off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconfiguration constraint of the distribution line, a target disaster mitigation strategy model is constructed. Solve the target disaster mitigation strategy model to obtain the optimal disaster mitigation scheme; Based on the optimal disaster mitigation plan, the target power distribution line is reinforced.

2. The disaster mitigation method based on a power distribution cyber-physical system according to claim 1, characterized in that, The objective function is optimized as follows: ； in, This describes a complex fault scenario where a communication base station experiences a power outage due to a break in the power distribution line. This represents a set of composite fault scenarios where a communication base station experiences a power outage due to a power distribution line interruption. The expression is: , To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred; Represents a collection of power distribution lines. Indicates the preset fault scale; Represents the set of nodes in a distribution network. Indicating the first in the distribution network The load loss of each node, .

3. The disaster mitigation method based on a power distribution cyber-physical system according to claim 1, characterized in that, The constraint on the quantity of reinforcement resources is established so that the total number of reinforcements for power distribution lines does not exceed the preset number of reinforcements, which is expressed as: ； in, Represents a collection of power distribution lines; To indicate power distribution lines Whether the integer variable is hardened Indicates power distribution lines Reinforced Indicates power distribution lines It was not reinforced; This indicates the preset reinforcement quantity.

4. The disaster mitigation method based on a power distribution cyber-physical system according to claim 1, characterized in that, The active power balance constraint, which includes communication base station downtime constraints, is constructed by equating the net active power input with the total active power output of distributed generation minus the total load of communication base stations, and then minus the active power load demand of nodes. This constraint is expressed as: ； in, Represents a collection of power distribution lines. This represents the parent node-line correlation matrix in the distribution network. This represents the node-line correlation matrix in a distribution network. Indicates power distribution lines The active power; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. This indicates that distributed generation in the distribution network is located at the node. Those who have contributed their efforts; This represents the set of communication base stations in the power distribution network. This represents the correlation matrix of communication base stations in a power distribution network. Represents the first in the set of communication base stations The power required for each communication base station; To represent the first in the set of communication base stations An integer variable representing the working status of each communication base station. Represents the first in the set of communication base stations One communication base station is in operation. Represents the first in the set of communication base stations One communication base station is out of power; Represents the set of nodes in a distribution network. Represents a node Active load, Represents a node The amount of active power loss.

5. The disaster mitigation method based on a power distribution cyber-physical system according to claim 1, characterized in that, Based on the operational status of the communication base station controlling the tie switch, and its impact on the power distribution lines containing the tie switch, a remote control enable constraint is constructed, expressed as: ， ； in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; This refers to distribution lines in a distribution network that contain tie switches. A set of communication base stations for remote control. This represents the set of distribution lines in a distribution network that contain tie switches; To indicate the first An integer variable representing the working status of each communication base station. Indicates the first One communication base station is in operation. Indicates the first One communication base station is currently without power.

6. The disaster mitigation method based on a power distribution cyber-physical system according to claim 1, characterized in that, Constructing reactive power balance constraints, branch voltage drop constraints, line carrying capacity constraints, line on / off power flow constraints, fault logic constraints, voltage amplitude constraints, and load shedding constraints for power distribution lines, including: The reactive power balance constraint is constructed by equating net reactive power input to total reactive power output of distributed generation minus node reactive power load demand, and is expressed as: ； in, Represents a collection of power distribution lines. This represents the parent node-line correlation matrix in the distribution network. This represents the sub-node-line correlation matrix in a distribution network. Indicates power distribution lines reactive power; It represents the collection of distributed generation sources in the distribution network. This represents the correlation matrix of distributed generation sources in the distribution network. Indicates distributed power sources at nodes Unproductive efforts; Represents the set of nodes in a distribution network. Represents a node reactive load, Represents a node The amount of reactive power loss; Based on the Big-M method, a branch voltage drop constraint is constructed by assuming that the voltage difference between the parent node and the child node equals the line impedance voltage drop, and is expressed as: ； in, To indicate power distribution lines Integer variables representing on / off states, Indicates power distribution lines Normal conduction, Indicates power distribution lines disconnect; Represents a node The square of the voltage amplitude, This represents a preset constant in the Big-M method; Indicates power distribution lines The resistance, Indicates power distribution lines The reactance; The power transmitted by the distribution line does not exceed the thermal stability limit, and the line carrying capacity constraint is constructed as follows: And linearized equivalent to: ; in, Indicates power distribution lines The transmission capacity; Based on the impact of line on / off states on power flow, a line on / off power flow constraint is constructed, expressed as follows: ， ； in, and They represent power distribution lines. The upper and lower limits of active power capacity, and They represent power distribution lines. The upper and lower limits of reactive power capacity; Based on the impact of power line disconnection faults on the line status, fault logic constraints are constructed, represented as follows: ; To indicate power distribution lines An integer variable indicating whether the connection is broken. Indicates power distribution lines A disconnection fault occurred. Indicates power distribution lines No disconnection fault occurred; Based on the allowable range of node voltages, a voltage amplitude constraint is constructed, expressed as: ; and These represent the upper and lower limits of the voltage amplitude, respectively. A load reduction constraint is constructed, which assumes that the node load loss does not exceed the node load, and is expressed as follows: , .

7. The disaster mitigation method based on a power distribution cyber-physical system according to claim 6, characterized in that, Constructing reconfiguration constraints for power distribution lines includes: The topological constraint is constructed based on the premise that the number of normally operating distribution lines equals the difference between the number of nodes and the number of root nodes in the distribution network, and is expressed as: ； in, This represents the total number of nodes in the node set of the distribution network. This represents the set of candidate root nodes in a distribution network. To represent nodes Is it an integer variable that is the root node? Represents a node As the root node, Represents a node Not the root node; Based on virtual power flow balance, root node representation, and distribution line status, virtual power flow constraints are constructed, including: ； ， ； ， ； in, Indicates power distribution lines The virtual trend.

8. The disaster mitigation method based on a power distribution cyber-physical system according to claim 1, characterized in that, By employing a nested CCG method, the target disaster mitigation strategy model is solved to obtain the optimal disaster mitigation scheme, including: The target disaster mitigation strategy model is decomposed into upper-level problems and lower-level problems; The upper-level CCG is used to solve the upper-level problem, and the lower bounds of the defense strategy and the original problem are obtained. The defense strategy is passed to the lower-level problem, and the lower-level problem is relaxed and decomposed into a main problem and subproblems. The lower-level CCG is used to solve the problem and obtain the upper bound of the main problem and the lower bound of the subproblems. Determine whether the upper bound of the main problem and the lower bound of the subproblems satisfy the convergence requirement: If satisfied, the lower-level problem converges. The upper bound of the main problem is obtained and used as the upper bound of the original problem. The lower bound of the original problem is then updated using the lower bounds of the subproblems. Finally, it is determined whether the upper and lower bounds of the original problem satisfy the convergence requirement. If the conditions are met, the mitigation strategy obtained from solving the upper-level problem is taken as the optimal disaster mitigation solution.

9. An apparatus based on the disaster mitigation method for a power distribution cyber-physical system as described in any one of claims 1 to 8, characterized in that, include: An optimization objective function construction module is used to obtain a set of composite fault scenarios where communication base stations are shut down due to power line interruption. The optimization objective function is constructed with the goal of minimizing the sum of the load loss of all nodes when the composite fault severity is at its maximum. The constraint construction module is used to construct a constraint on the quantity of reinforcement resources, ensuring that the total number of reinforcements for power distribution lines does not exceed the preset number of reinforcements. Active power balance constraints, including communication base station shutdown constraints, are constructed based on the principle that net active power input equals total active power output of distributed power sources minus total load of communication base stations, and then minus active power load demand of nodes. Remote control enable constraints are constructed based on the impact of the operating status of communication base stations controlling tie switches on power distribution lines including tie switches. The solution model construction module is used to construct the target disaster mitigation strategy model based on the optimization objective function, the constraint of the number of reinforcement resources, the active power balance constraint including the communication base station shutdown constraint, the remote control enable constraint, and the reactive power balance constraint, branch voltage drop constraint, line carrying capacity constraint, line on / off power flow constraint, fault logic constraint, voltage amplitude constraint, load reduction constraint and reconfiguration constraint of the distribution line. The solution module is used to solve the target disaster mitigation strategy model to obtain the optimal disaster mitigation scheme; based on the optimal disaster mitigation scheme, the target power distribution line is reinforced.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed, it implements the steps of the disaster mitigation method based on a power distribution cyber-physical system as described in any one of claims 1 to 8.

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