CN112686440B

CN112686440B - Method, device and equipment for determining deployment position of superconducting cable

Info

Publication number: CN112686440B
Application number: CN202011579213.6A
Authority: CN
Inventors: 田妍; 王红斌; 方健; 何嘉兴; 林浩博; 林翔; 尹旷
Original assignee: Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
Current assignee: Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
Priority date: 2020-12-28
Filing date: 2020-12-28
Publication date: 2023-11-14
Anticipated expiration: 2040-12-28
Also published as: CN112686440A

Abstract

The application relates to a method, a device, equipment and a storage medium for determining a deployment position of a high-temperature superconducting cable, wherein the method comprises the following steps: acquiring the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element; determining each fault scene according to the fault probability; the fault scene comprises the positions of all elements and the states of all elements; constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene; determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the amount of user cut load when an extreme event occurs. The technical scheme provided by the embodiment of the application can improve the restoring force of the power distribution network.

Description

Method, device and equipment for determining deployment position of superconducting cable

Technical Field

The application relates to the technical field of power distribution networks, in particular to a method, a device, equipment and a storage medium for determining a deployment position of a high-temperature superconducting cable.

Background

In recent years, extreme events such as natural disasters, man-made attacks and the like occur more frequently, and the occurrence of the extreme events has serious influence on the stable operation of a power system. In order to ensure stable operation of the power system, the restoring force of the power distribution network needs to be improved.

The restoring force of the power distribution network may include: the ability of the distribution network to predict an extreme event before the occurrence of the extreme event, to minimize the amount of cut load during the occurrence of the extreme event, and to return to a normal operating state after the occurrence of the extreme event. At present, in the research of improving the restoring force of a power distribution network, the importance of the power distribution network element is mainly evaluated, the element with higher importance is reinforced before an extreme event occurs according to the importance evaluation result of the element, and the element with higher importance is repaired first after the extreme event occurs, so that the restoring force of the power distribution network is improved.

However, this approach has low resilience in the distribution network when a large-scale power flow transfer occurs in the distribution network.

Disclosure of Invention

Based on the above, the embodiment of the application provides a method, a device, equipment and a storage medium for determining the deployment position of a high-temperature superconducting cable, which can improve the restoring force of a power distribution network.

In a first aspect, a method for determining a deployment location of a high-temperature superconducting cable is provided, the method comprising:

acquiring the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element; determining each fault scene according to the fault probability; the fault scene comprises the positions of all elements and the states of all elements; constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene; determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the amount of user cut load when an extreme event occurs.

In one embodiment, obtaining a failure probability of an element in the power distribution network under an extreme event of a preset intensity includes:

according to the preset strength and the failure rate of the element under the non-extreme event, calculating the failure rate of the element under the extreme event; and calculating the fault probability according to the fault rate and the time corresponding to the fault rate.

In one embodiment, obtaining critical lengths of high-temperature superconducting cables corresponding to elements in a power distribution network includes:

Acquiring the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element; and calculating the critical length of the high-temperature superconducting cable corresponding to each element according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element.

In one embodiment, determining each fault scenario according to the probability of a fault includes:

generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element; and screening the plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.

In one embodiment, a plurality of candidate fault scenarios are generated by adopting a Monte Carlo method and fault probabilities of elements, and the generating of the plurality of candidate fault scenarios includes:

sampling a preset numerical range by adopting a Monte Carlo method to obtain a plurality of random numbers; comparing each random number with the fault probability of each element respectively to obtain the state of each element; and determining the states and the positions of the elements corresponding to the random numbers as corresponding candidate fault scenes.

In one embodiment, the above constraint includes: element flow constraints, tie switch constraints, high temperature superconducting cable constraints, node constraints, and power balance constraints; the element flow constraint comprises an alternating current flow constraint and an element capacity limit which are required to be met by the element; the tie switch constraint comprises an alternating current power flow constraint which needs to be met by the tie switch and a tie switch capacity limit; the high-temperature superconducting cable constraint comprises alternating current flow constraint which needs to be met by the high-temperature superconducting cable, deployment budget constraint of the high-temperature superconducting cable and economic constraint of the high-temperature superconducting cable; node constraints comprise node load upper and lower limit constraints, generator output upper and lower limit constraints, distributed power output upper and lower limit constraints and node voltage constraints; the power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network.

In one embodiment, determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene includes:

determining an optimization model according to constraint conditions and objective functions of each fault scene; substituting parameters of the power distribution network into an optimization model, and solving the optimization model according to preset weights to obtain the weighted user cut load quantity of each fault scene and the position of the target high-temperature superconducting cable; parameters of the distribution network include generator data, node load data and tie switch data.

adopting a gradual opposite impact algorithm to integrate each fault scene into a target fault scene; and determining the deployment position of the high-temperature superconducting cable in the target fault scene as the position of the target high-temperature superconducting cable according to the target fault scene and the corresponding constraint condition.

In a second aspect, there is provided a deployment location determining apparatus for a high temperature superconducting cable, the apparatus comprising:

the acquisition module is used for acquiring the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element;

The first determining module is used for determining each fault scene according to the fault probability; the fault scene comprises the positions of all elements and the states of all elements;

the construction module is used for constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene;

the second determining module is used for determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the amount of user cut load when an extreme event occurs.

In a third aspect, there is provided a computer device comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, performs the method steps of any of the embodiments of the first aspect described above.

In a fourth aspect, a computer-readable storage medium is provided, on which a computer program is stored which, when executed by a processor, carries out the method steps in any of the embodiments of the first aspect described above.

According to the deployment position determining method, device, equipment and storage medium of the high-temperature superconducting cable, the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element are obtained; determining each fault scene according to the fault probability; the fault scene comprises the positions of all elements and the states of all elements; constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene; and determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene. The accurate position for deploying the high-temperature superconducting cable is determined by simulating the extreme event, and the rationality for deploying the high-temperature superconducting cable in the power distribution network can be improved before the extreme event occurs. Furthermore, when the power distribution network has large-range tide transfer, the situation of blocking a power transmission path is avoided by deploying the high-temperature superconducting cable, and the load cutting amount of a user is reduced, so that the restoring force of the power distribution network is improved.

Drawings

FIG. 1 is a block diagram of a computer device according to an embodiment of the present application;

FIG. 2 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 3 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 4 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 5 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 6 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 7 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 8 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 9 is a flow chart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application;

FIG. 10 is a schematic diagram of a deployment site of a superconducting cable according to an embodiment of the present application;

FIG. 11 is a schematic diagram of an elastic power system performance under extreme events according to an embodiment of the present application;

FIG. 12 is a schematic diagram of a power flow transition at an extreme event according to an embodiment of the present application;

FIG. 13 is a schematic diagram of a deployment site of a superconducting cable according to an embodiment of the present application;

FIG. 14 is a graph showing a comparison of cut loads according to an embodiment of the present application;

fig. 15 is a block diagram of a deployment location determining apparatus for a high-temperature superconducting cable according to an embodiment of the present application.

Detailed Description

For the purpose of making the objects, technical solutions and advantages of the present application more apparent, the embodiments of the present application will be described in further detail with reference to the accompanying drawings.

The deployment position determining method of the high-temperature superconducting cable can be applied to computer equipment, wherein the computer equipment can be a server or a terminal, the server can be one server or a server cluster formed by a plurality of servers, the embodiment of the application is not particularly limited to the method, and the terminal can be but not limited to various personal computers, notebook computers, smart phones, tablet computers and portable wearable equipment.

Taking the example of a computer device being a server, FIG. 1 illustrates a block diagram of a server, as shown in FIG. 1, which may include a processor and memory connected by a system bus. Wherein the processor of the server is configured to provide computing and control capabilities. The memory of the server includes nonvolatile storage medium and internal memory. The nonvolatile storage medium stores an operating system, a computer program, and a database. The internal memory provides an environment for the operation of the operating system and computer programs in the non-volatile storage media. The computer program when executed by the processor is configured to implement a method for determining a deployment location of a high temperature superconducting cable.

It will be appreciated by those skilled in the art that the structure shown in fig. 1 is merely a block diagram of a portion of the structure associated with the present inventive arrangements and does not constitute a limitation of the servers to which the present inventive arrangements are applied, alternatively the servers may include more or less components than those shown, or may combine certain components, or have different arrangements of components.

It should be noted that, the execution main body of the embodiment of the present application may be a computer device, or may be a deployment position determining device of a high-temperature superconducting cable, and in the following method embodiments, the execution main body is described by using the computer device.

In one embodiment, as shown in fig. 2, a flowchart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application is shown, where the method may include the following steps:

step 201, obtaining the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element.

The elements in the power distribution network are power transmission lines between two nodes in the power distribution network, and the elements in the power distribution network can fail under extreme events, wherein the extreme events comprise events such as natural disasters, man-made attacks and the like. In practical application, the experiment can be simulated by giving an extreme event with preset intensity, for example, the extreme event can be super strong typhoon, the preset intensity can be typhoon wind speed value, and the wind speed value can be set to any size manually. The failure probability of the element in the power distribution network under the extreme event of preset intensity is the probability that the element possibly fails under the extreme event, the failure probability of the element can be directly obtained according to historical empirical data, and the failure probability of the element can be obtained through mathematical operation according to the failure rate of the element under the non-extreme event.

When elements in the ultra-large urban power distribution network fail under an extreme event and face large-scale tide transfer, the situation that a power transmission channel is blocked easily occurs due to limited capacity of a power transmission line, so that the occurrence of the situation that the power transmission channel is blocked can be avoided by reasonably deploying high-temperature superconducting cables. The high-temperature superconducting cable is an electric power facility which adopts a non-resistance superconducting material capable of transmitting high current density as a conductor and transmitting large current, has the advantages of small volume, light weight, low loss and large transmission capacity, and can realize low-loss, high-efficiency and large-capacity power transmission. When the high-temperature superconducting cable is deployed, the economy of the deployment of the high-temperature superconducting cable needs to be considered, so that the critical length of the high-temperature superconducting cable corresponding to each element needs to be obtained in advance, the critical length is the shortest length meeting the economy, and the critical length of the high-temperature superconducting cable can be calculated according to the installation cost and the running cost of the high-temperature superconducting cable under the condition of given life cycle and construction cost of the high-temperature superconducting cable.

Step 202, determining each fault scene according to the fault probability; the fault scenario includes the location of each element and the status of each element.

After the failure probability of the element is obtained, each failure scene can be determined according to the failure probability, wherein the failure scene comprises the position of each element and the state of each element. The positions of the elements can be positions corresponding to elements which are selected in advance from all elements of the power distribution network according to experience and possibly have faults, the states of the elements are information for describing the working states of the elements, and the states of the elements can comprise damage states and normal states.

When determining each fault scene according to the fault probability, the states of the elements can be obtained by comparing the obtained fault probability of each element with preset fixed values, the states of all the elements form the fault scene, if a plurality of preset fixed values exist, the obtained fault probability of each element is compared with each preset fixed value to obtain the states of each element corresponding to different preset fixed values, and therefore a plurality of fault scenes can be formed. The method also can generate a plurality of random numbers in a mode of generating the random numbers, compares the obtained fault probability of each element with the generated random numbers to obtain states of each element corresponding to different random numbers, and forms a fault scene by the states of all elements corresponding to each random number and the positions of the elements, so that a plurality of fault scenes are formed.

And 203, constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene.

The method comprises the steps of constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene, wherein the constraint conditions are constraints on state parameters of the power distribution network in different fault scenes, the state parameters of the power distribution network can comprise parameters such as active power, reactive power and voltage of the power distribution network, and the operation rules of the power distribution network can be rules when the active power and the reactive power of each node in the power distribution network flow in and flow out.

204, determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the amount of user cut load when an extreme event occurs.

According to a preset objective function, constraint conditions corresponding to fault scenes and the fault scenes, determining the position of the target high-temperature superconducting cable, wherein the position of the target high-temperature superconducting cable is the position where the high-temperature superconducting cable is deployed in the power distribution network, and solving the preset objective function through the constraint conditions corresponding to the fault scenes to obtain the position of the target high-temperature superconducting cable. The objective function represents the user load shedding amount when the extreme event occurs, and after the extreme event occurs, in order to ensure the normal operation of the power distribution network, load shedding operation is usually performed, but the use of the user electric energy is affected, so that when the high-temperature superconducting cable is deployed, the user load shedding amount when the extreme event occurs can be used as the objective function, and the smaller the user load shedding amount, the more accurate the position of the high-temperature superconducting cable is represented.

In the embodiment, the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element are obtained; determining each fault scene according to the fault probability; the fault scene comprises the positions of all elements and the states of all elements; constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene; and determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene. The accurate position for deploying the high-temperature superconducting cable is determined by simulating the extreme event, and the rationality for deploying the high-temperature superconducting cable in the power distribution network can be improved before the extreme event occurs. Furthermore, when the power distribution network has large-range tide transfer, the situation of blocking a power transmission path is avoided by deploying the high-temperature superconducting cable, and the load cutting amount of a user is reduced, so that the restoring force of the power distribution network is improved.

In one embodiment, as shown in fig. 3, which shows a flowchart of a deployment location determining method of a high-temperature superconducting cable according to an embodiment of the present application, the embodiment relates to a possible process of calculating failure probability of each element, and the method may include the following steps:

Step 301, calculating the failure rate of the element under the extreme event according to the preset strength and the failure rate of the element under the non-extreme event.

According to the preset intensity and the failure rate of the element under the non-extreme event, the failure rate of the element under the extreme event can be calculated through a formula (1).

Wherein w (t) is the preset intensity of the extreme event around the element at the moment t and is a constant; lambda (lambda) _ij (w (t)) is thePresetting the failure rate of the element under the strength; lambda (lambda) _norm Failure rate of the element under normal conditions; gamma ray ₁ 、γ ₂ And gamma is equal to ₃ All are fitting parameters and can be set manually.

Step 302, calculating the fault probability according to the fault rate and the time corresponding to the fault rate.

Wherein, according to the failure rate and the time corresponding to the failure rate, the failure probability of each element can be calculated by the formula (2).

Wherein lambda is _ij The failure rate of the element under the preset intensity calculated by the formula (1) is calculated; t (T) _y Taking the value as 1 as the time corresponding to the failure rate; p is p _ij Is the failure probability of the element.

In the embodiment, according to the preset strength and the failure rate of the element under the non-extreme event, the failure rate of the element under the extreme event is calculated; and calculating the fault probability according to the fault rate and the time corresponding to the fault rate. The operation mode is simple and easy to realize, and the efficiency of calculating the fault probability of each element is improved.

In one embodiment, as shown in fig. 4, which is a flowchart illustrating a deployment location determining method of a high-temperature superconducting cable according to an embodiment of the present application, the present embodiment relates to a process for calculating a critical length of the high-temperature superconducting cable, and the method may include the following steps:

step 401, obtaining the installation cost and the operation cost of each element, and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element.

The installation cost and the operation cost of each element can be calculated by a formula (3) and a formula (4), and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element can be calculated by a formula (5) and a formula (6).

Wherein,the installation cost of the element; />The running cost of the element; />The installation cost of the high-temperature superconducting cable is high; />The operation cost of the high-temperature superconducting cable is; l (L) _c Is the critical length of the high temperature superconductive cable.

l _n Is the length of the element; i _n Is the current through the element; x-shaped articles _n Is the price of the component; d is a cash factor describing monetary devaluation; u (u) _n The utilization rate of the element; omega _n Loss per unit length of element; i _c Is the current through the high temperature superconducting cable; x-shaped articles _c The price of the high-temperature superconducting cable is; r is the price of the unit heat load refrigerant; θ is the heat leakage loss of the high-temperature superconducting cable in unit length; omega _c Loss of the high-temperature superconducting cable in unit length; τ is the loss of the refrigerator; epsilon is the electricity charge; ρ is the power required by the refrigerator to carry away the 1W heat load; u (u) _c The utilization rate of the high-temperature superconducting cable is improved; are known parameters.

Step 402, calculating the critical length of the high-temperature superconducting cable corresponding to each element according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element.

When calculating the critical length of the high-temperature superconducting cable corresponding to each element according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element, the critical length l of the high-temperature superconducting cable corresponding to each element can be solved according to the simultaneous equations that the installation cost of each element in the formula (3) is equal to the installation cost of the high-temperature superconducting cable corresponding to each element in the formula (5) and the installation operation cost of each element in the formula (4) is equal to the operation cost of the high-temperature superconducting cable corresponding to each element in the formula (6) _c 。

In the embodiment, the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element are obtained; according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element, the critical length of the high-temperature superconducting cable corresponding to each element is calculated, the operation mode is simple, the implementation is easy, and the efficiency of obtaining the critical length of the high-temperature superconducting cable is improved.

In one embodiment, as shown in fig. 5, which shows a flowchart of a deployment location determining method of a high-temperature superconducting cable according to an embodiment of the present application, the present embodiment relates to a possible process of determining each fault scenario, and the method may include the following steps:

step 501, a Monte Carlo method and fault probability of each element are adopted to generate a plurality of candidate fault scenes.

When generating a plurality of candidate fault scenes, the Monte Carlo method can be adopted to generate a plurality of random numbers, the acquired fault probability of each element is compared with the generated random numbers to obtain states of each element corresponding to different random numbers, and the states of all elements corresponding to each random number and the positions of the elements are built into one candidate fault scene, so that a plurality of candidate fault scenes are formed.

Step 502, screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain a fault scene.

The method comprises the steps of screening a plurality of candidate fault scenes according to occurrence probability of each candidate fault scene to obtain the fault scenes, and selecting the preset number of fault scenes from each candidate fault scene according to the preset number of fault scenes when each candidate fault scene selects the fault scene. Optionally, a preset number of fault scenes can be selected from the candidate fault scenes, and after the occurrence times of the candidate fault scenes are statistically ordered, a preset number of fault scenes with a plurality of occurrence times can be selected from the candidate fault scenes.

In the embodiment, a Monte Carlo method and the fault probability of each element are adopted to generate a plurality of candidate fault scenes; screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain a fault scene, and generating the plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element, wherein the generation mode is simple and easy to realize; and a plurality of candidate fault scenes are screened, so that the calculated amount is reduced, and the efficiency of determining the position of the target high-temperature superconducting cable is improved.

In one embodiment, as shown in fig. 6, which shows a flowchart of a deployment location determining method of a superconducting cable provided by an embodiment of the present application, the embodiment relates to a process of determining a candidate fault scenario, and the method may include the following steps:

and 601, sampling a preset numerical range by adopting a Monte Carlo method to obtain a plurality of random numbers.

The preset numerical range is a range in which random numbers are generated by adopting a Monte Carlo method, and the preset numerical range can be set as [0,1], namely, a plurality of random numbers are obtained after sampling is carried out in the [0,1] range by adopting the Monte Carlo method.

Step 602, comparing each random number with the failure probability of each element to obtain the state of each element.

The random numbers can be compared with the failure probability of the elements respectively through a formula (7) to obtain the states of the elements, and the states of the elements can be described by binary variables, for example, the normal state is recorded as 0, and the damaged state is recorded as 1.

Wherein s is _ij A state of element ij; r is the number of the components in [0,1] by adopting Monte Carlo method]Random numbers obtained in the range; p is p _ij Is the probability of damage to the element ij; i and j are nodes in the power distribution network.

And 603, determining the states and the positions of the elements corresponding to the random numbers as corresponding candidate fault scenes.

The states of all the elements corresponding to each random number and the positions of the elements are set up as a candidate fault scene, namely, the candidate fault scene corresponding to each random number, for example, the random numbers are 0.2 and 0.3, the elements comprise an element 12 and an element 23, and the states of the element 12 and the element 23 corresponding to the random number of 0.2 are 0 and 1 respectively; the states of the element 12 and the element 23 corresponding to the random number of 0.3 are respectively 0 and 1, and then the states and the positions of the element 12 and the element 23 corresponding to the random number of 0.2 are established as a candidate fault scene; the states and positions of the element 12 and the element 23 corresponding to the random number of 0.3 are established as another candidate fault scenario.

In the embodiment, a Monte Carlo method is adopted to sample a preset numerical range to obtain a plurality of random numbers; comparing each random number with the fault probability of each element respectively to obtain the state of each element; and determining the states and the positions of the elements corresponding to the random numbers as corresponding candidate fault scenes. After the multiple random numbers generated by the Monte Carlo method are compared with the fault probability of each element, the state of each element is obtained, the mode of generating the random numbers is simple and easy to realize, and the efficiency of acquiring the states of each element is improved.

In one embodiment, when determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene, the constraint conditions corresponding to each fault scene need to be determined first, where the constraint conditions include: element flow constraints, tie switch constraints, high temperature superconducting cable constraints, node constraints, and power balance constraints; the element flow constraint comprises an alternating current flow constraint and an element capacity limit which are required to be met by the element; the tie switch constraint comprises an alternating current power flow constraint which needs to be met by the tie switch and a tie switch capacity limit; the high-temperature superconducting cable constraint comprises alternating current flow constraint which needs to be met by the high-temperature superconducting cable, deployment budget constraint of the high-temperature superconducting cable and economic constraint of the high-temperature superconducting cable; node constraints comprise node load upper and lower limit constraints, generator output upper and lower limit constraints, distributed power output upper and lower limit constraints and node voltage constraints; the power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network.

The element flow constraint comprises an alternating current flow constraint and an element capacity limit which are required to be met by the element, wherein the alternating current flow constraint is shown in a formula (8) and a formula (9); the element capacity limit is shown in the formula (10) and the formula (11).

Wherein P is _ij Active power of the element; q (Q) _ij Reactive power for the element; p (P) _ij ^max For maximum active power of the elementA power; q (Q) _ij ^max Maximum reactive power for the element; b _ij Susceptance for the element; g _ij Is the electrical conductance of the element; s is(s) _ij The state of the element, which is a binary number for each fault scenario; v _i Is the voltage of node i; v _j The voltage at node j; θ _i The phase angle of the node i; θ _j The phase angle of the node j; m is a artificially set constant; b is a set formed by any two nodes in the power distribution network.

The tie switch constraint comprises an alternating current power flow constraint and a tie switch capacity limit which are required to be met by the tie switch, wherein the alternating current power flow constraint is shown in a formula (12) and a formula (13); the tie switch capacity limit is shown in equation (14) and equation (15).

Wherein P is _ij ^s Active power of the tie switch; q (Q) _ij ^s Reactive power for the tie switch; p (P) _ij ^smax Maximum active power for the tie switch; q (Q) _ij ^smax Maximum reactive power for the tie switch; b _ij ^s Susceptance for tie switch; g _ij ^s Conductance for the tie switch; s is(s) _ij ^s For the state of the tie switch, it is a binary number for each fault scenario; v _i Is the voltage of node i; v _j The voltage at node j; θ _i Is a section ofThe phase angle of point i; θ _j The phase angle of the node j; m is a artificially set constant; s is the set of all tie switch nodes in the power distribution network.

The high-temperature superconducting cable constraint comprises an alternating current flow constraint which needs to be met by the high-temperature superconducting cable, a deployment budget constraint of the high-temperature superconducting cable and an economical constraint of the high-temperature superconducting cable, wherein the alternating current flow constraint is shown in a formula (16) and a formula (17); the deployment budget constraint of the high-temperature superconducting cable is shown in a formula (18); the economic constraint of the high temperature superconducting cable is shown in formula (19).

Wherein P is _ij ^c The active power of the high-temperature superconducting cable; q (Q) _ij ^c Reactive power of the high-temperature superconducting cable; b _ij ^c Susceptance of the high-temperature superconducting cable; s is(s) _ij ^c Decision binary variables for whether the high-temperature superconducting cable is deployed or not; v _i Is the voltage of node i; v _j The voltage at node j; θ _i The phase angle of the node i; θ _j The phase angle of the node j; m is a artificially set constant; n is a node set in the power distribution network; c is the collection of all high-temperature superconducting cable nodes in the power distribution network; x is X _c Budget for deployment of high temperature superconducting cables;is a high temperature superconductorThe length of the cable; l (L) ^min The critical length of the high-temperature superconducting cable is calculated according to the formula (3) -the formula (6).

The node constraint comprises node load upper and lower limit constraint, generator output upper and lower limit constraint, distributed power output upper and lower limit constraint and node voltage constraint, and the node load upper and lower limit constraint is shown in a formula (20) and a formula (21); the upper and lower limits of the generator output are shown in a formula (22) and a formula (23); the upper and lower limit constraints of the distributed power supply output are shown in a formula (24) and a formula (25); the node voltage constraint is shown in equation (26).

Wherein,load for nodeActive power of (2); />Maximum active power for node load; />Reactive power for node load; n is a node set in the power distribution network; />Is the maximum power angle; />Is the minimum power angle; />Is the active power of the generator; />The maximum active power of the generator; />Reactive power of the generator; />Minimum reactive power for the generator; />Maximum reactive power for the generator; g is a generator node set; />Active power for distributed power supply; />Maximum active power for the distributed power supply; />Reactive power for a distributed power supply;minimum reactive power for the distributed power supply; />Maximum reactive power for the distributed power supply; DG is a distributed power node set; v _j Is the voltage at the node.

The power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network, wherein the active power balance constraint is shown in a formula (27); reactive power balance constraints are shown in equation (28).

A _BR P+A _S P ^s +A _D P ^d +A _C P ^c ＝A _G P ^g +A _DG P ^dg (27)

A _BR Q+A _S Q ^s +A _D Q ^d +A _C Q ^c ＝A _G Q ^g +A _DG Q ^dg (28)

Wherein P is the active power of the element; q is the reactive power of the element; p (P) ^s Active power of the tie switch; q (Q) ^s Reactive power for the tie switch; p (P) ^d Active power for node load; q (Q) ^d Reactive power for node load; p (P) ^c The active power of the high-temperature superconducting cable; q (Q) ^c Reactive power of the high-temperature superconducting cable; p (P) ^g Is the active power of the generator; q (Q) ^g Reactive power of the generator; p (P) ^dg Active power for distributed power supply; q (Q) ^dg Reactive power for a distributed power supply; a is that _BR ,A _S ,A _D ,A _C ,A _G ,A _DG The system comprises an element, a tie switch, a load, a high-temperature superconducting cable, a generator and a correlation matrix of a distributed power supply; BR, S, D, C, G, DG are the collection of elements, tie switches, loads, superconducting cables, generators, and distributed power nodes, respectively.

In the embodiment, through five groups of constraint conditions, namely element flow constraint, tie switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint, the state parameters of the power distribution network under different fault scenes are fully utilized, so that the objective function is solved more accurately, and the obtained position for deploying the high-temperature superconducting cable is more reasonable and accurate.

In one embodiment, as shown in fig. 7, which shows a flowchart of a deployment location determining method of a high-temperature superconducting cable according to an embodiment of the present application, the present embodiment relates to a process for determining a location of a target high-temperature superconducting cable, the method may include the following steps:

And 701, determining an optimization model according to constraint conditions and objective functions of each fault scene.

Wherein, different fault scenes correspond to a constraint condition, and the constraint condition comprises element flow constraint, tie switch constraint, superconductive cable constraint, node constraint and power balance constraint. The optimization model is established according to constraint conditions and an objective function, and the optimization model is used for solving the user cut load and the position of the target high-temperature superconducting cable.

Step 702, substituting parameters of the power distribution network into an optimization model, and solving the optimization model according to preset weights to obtain the weighted user cut load quantity of each fault scene and the position of a target superconducting cable; parameters of the distribution network include generator data, node load data and tie switch data.

The objective function is shown as formula (29), the preset weight can be probability corresponding to a fault scene obtained by screening from a plurality of candidate fault scenes, the parameters of the power distribution network can comprise generator data, node load data and contact switch data, the parameters of the power distribution network are substituted into an optimization model, the optimization model is solved according to the preset weight, the weighted user cut load quantity of each fault scene and the position of a target high-temperature superconducting cable can be obtained, and when solving, commercial software can be adopted to solve, and the weighted user cut load quantity is the obtained minimum user cut load quantity.

Wherein P is ^sum The total active power of the power distribution network; p (P) _j ^d Active power loaded for each fault scene node; n is a node set in the power distribution network.

In the embodiment, an optimization model is determined according to constraint conditions and objective functions of each fault scene; substituting parameters of the power distribution network into an optimization model, and solving the optimization model according to preset weights to obtain the weighted user cut load quantity of each fault scene and the position of the target high-temperature superconducting cable; parameters of the distribution network include generator data, node load data and tie switch data. The restoration force of the power distribution network can be represented by the user cut load quantity, the position of the target high-temperature superconducting cable is determined by calculating the user cut load quantity, and the accuracy of determining the position of the high-temperature superconducting cable is improved, so that the rationality of deploying the high-temperature superconducting cable is also improved.

In one embodiment, as shown in fig. 8, which shows a flowchart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application, another possible process for determining a location of a target high temperature superconducting cable may include the following steps:

step 801, adopting a gradual hedging algorithm to integrate each fault scene into a target fault scene.

The mixed integer linear programming problem can be formed through a preset objective function and constraint conditions corresponding to each fault scene, and when the objective function is solved and the position of the target temperature superconducting cable is determined, commercial software can be adopted for solving, and a gradual opposite impact algorithm can be combined for solving. The step-by-step opposite-impact algorithm is adopted to integrate a plurality of fault scenes through operation processing, so that a target fault scene can be obtained.

And step 802, determining the deployment position of the high-temperature superconducting cable in the target fault scene as the position of the target high-temperature superconducting cable according to the target fault scene and the corresponding constraint conditions.

According to the target fault scene and the corresponding constraint conditions, solving the optimization model to determine the deployment position of the high-temperature superconducting cable in the target fault scene, and taking the deployment position as the position of the target high-temperature superconducting cable.

In the embodiment, a step-by-step opposite-impact algorithm is adopted to integrate each fault scene into a target fault scene; and determining the deployment position of the high-temperature superconducting cable in the target fault scene as the position of the target high-temperature superconducting cable according to the target fault scene and the corresponding constraint condition. Because a plurality of fault scenes are integrated while being comprehensively considered, the accuracy of determining the deployment position of the target temperature superconducting cable is ensured, and meanwhile, the calculation scale of solving the objective function is reduced, so that the efficiency of determining the deployment position of the target temperature superconducting cable is improved.

In one embodiment, as shown in fig. 9, a flowchart of a method for determining a deployment location of a superconducting cable according to an embodiment of the present application is shown, where the method may include the following steps:

step 901, calculating the failure rate of the element under the extreme event according to the preset strength and the failure rate of the element under the non-extreme event.

Step 902, calculating the fault probability according to the fault rate and the time corresponding to the fault rate.

Step 903, obtaining the installation cost and the operation cost of each element, and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element.

Step 904, calculating the critical length of the high-temperature superconducting cable corresponding to each element according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element.

Step 905, sampling a preset numerical range by using a Monte Carlo method to obtain a plurality of random numbers.

Step 906, comparing each random number with the failure probability of each element to obtain the state of each element.

Step 907, determining the states and positions of the elements corresponding to the random numbers as corresponding candidate fault scenes.

Step 908, constructing constraint conditions corresponding to each fault scene according to the states, critical lengths and operation rules of the power distribution network of each element in each fault scene.

And step 909, determining an optimization model according to the constraint conditions and the objective function of each fault scene.

Step 910, substituting parameters of the power distribution network into an optimization model, and solving the optimization model according to preset weights to obtain the weighted user cut load quantity of each fault scene and the position of the target superconducting cable; parameters of the distribution network include generator data, node load data and tie switch data.

The implementation principle and technical effects of each step in the deployment position determining method for high-temperature superconductive cables provided in this embodiment are similar to those in the foregoing deployment position determining method embodiments for high-temperature superconductive cables, and are not described herein again. The implementation manner of each step in the embodiment of fig. 9 is merely an example, and the implementation manner is not limited, and the order of each step may be adjusted in practical application, so long as the purpose of each step can be achieved.

In the technical scheme provided by the embodiment of the application, the accurate position for deploying the high-temperature superconducting cable is determined by simulating the extreme event, so that the rationality for deploying the high-temperature superconducting cable in the power distribution network can be improved before the extreme event occurs. Furthermore, when the power distribution network has large-range tide transfer, the situation of blocking a power transmission path is avoided by deploying the high-temperature superconducting cable, and the load cutting amount of a user is reduced, so that the restoring force of the power distribution network is improved.

It should be understood that, although the steps in the flowcharts of fig. 2-9 are shown in order as indicated by the arrows, these steps are not necessarily performed in order as indicated by the arrows. The steps are not strictly limited to the order of execution unless explicitly recited herein, and the steps may be executed in other orders. Moreover, at least some of the steps in fig. 2-9 may include multiple steps or stages that are not necessarily performed at the same time, but may be performed at different times, nor does the order in which the steps or stages are performed necessarily performed in sequence, but may be performed alternately or alternately with at least a portion of the steps or stages in other steps or other steps.

The technical scheme provided by the embodiment of the application is also subjected to experimental verification, and the improved IEEE 123 node power distribution network comprises 3 distributed power supplies. The distributed power supply is a fuel oil generator or a gas generator, so that the distributed power supply is not influenced by storm disasters and can be normally used; nodes 2, 25, nodes 36, 57, nodes 47, 122, nodes 61, 90, nodes 111, 115, nodes 97, 117 are each connected by a tie-line, which is normally in an open state. Wherein deployment locations and cut loads under different deployment budgets are shown in table 1 and fig. 10; FIG. 11 is a schematic diagram of the performance of an elastic power system under extreme events, including a conventional power system, i.e., a conventional power distribution network, and an elastic power distribution network, i.e., a power distribution network capable of coping with extreme events; fig. 12 is a schematic diagram of a power flow transfer in an extreme event.

It can be seen that after the high temperature superconducting cable is deployed, the cut load is significantly reduced, and compared with the case that the high temperature superconducting cable is not deployed, when the deployment budget of the high temperature superconducting cable is respectively 3,4 and 5, the cut load is respectively reduced by 34.8%, 38.9% and 41.2%.

TABLE 1

Deployment budget	X＝0	X＝3	X＝4	X＝5
					Deployment location	/	32，58，110	1，32，58，110	1，32，58，60，110
Load cut (kw)	2687.52	1752.23	1641.03	1580.13

In addition, in order to study the influence of the fault scenario on the deployment scenario, three typical fault scenarios were set as control cases, and a deployment budget of 4 was assumed. FIG. 13 is a schematic diagram of the deployment results of high temperature superconductive cables in different fault scenarios and modified scenarios. It can be seen that the high-temperature superconducting cable configuration results under different fault scenes have obvious differences, if only a single fault configuration is researched by a high-temperature superconducting cable deployment method, the comprehensive optimization effect on each typical fault scene is not good, so that the influence of various typical fault scenes on the high-temperature superconducting cable deployment scheme needs to be comprehensively considered.

Furthermore, the cut load amount (optimized deployment scheme) obtained by the technical scheme provided by the application is compared with the random deployment cut load amount (random deployment scheme), as shown in fig. 14, when the deployment budgets are 3,4 and 5 respectively, the random deployment positions are shown in table 2. The technical scheme provided by the application can obviously reduce the load shedding amount under a typical fault scene and improve the restoring force of the power distribution network.

TABLE 2

Deployment budget	X＝3	X＝4	X＝5
				Random deployment location	1，32，111	1，13，89，110	1，58，60，89，110

In one embodiment, as shown in fig. 15, a block diagram of a deployment location determining apparatus 150 of a superconducting cable according to an embodiment of the present application is shown, including: an acquisition module 151, a first determination module 152, a construction module 153, and a second determination module 154, wherein:

the obtaining module 151 is configured to obtain a fault probability of an element in the power distribution network under an extreme event with preset intensity and a critical length of a high-temperature superconducting cable corresponding to each element;

a first determining module 152, configured to determine each fault scenario according to the fault probability; the fault scene comprises the positions of all elements and the states of all elements;

the construction module 153 is configured to construct constraint conditions corresponding to each fault scenario according to the state, the critical length and the operation rule of the power distribution network of each element in each fault scenario;

the second determining module 154 is configured to determine a position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scenario, and each fault scenario; the objective function represents the amount of user cut load when an extreme event occurs.

In one embodiment, the acquisition module 151 includes a first computing unit and a second computing unit, wherein: the first calculating unit is used for calculating the failure rate of the element under the extreme event according to the preset strength and the failure rate of the element under the non-extreme event; the second calculating unit is used for calculating the fault probability according to the fault rate and the time corresponding to the fault rate.

In one embodiment, the acquisition module 151 further comprises an acquisition unit and a third calculation unit, wherein: the acquisition unit is used for acquiring the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element; the third calculation unit is used for calculating the critical length of the high-temperature superconducting cable corresponding to each element according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element.

In one embodiment, the first determining module 152 includes a generating unit and a screening unit, wherein: the generating unit is used for generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element; the screening unit is used for screening the plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.

In one embodiment, the generating unit is specifically configured to sample a preset value range by using a monte carlo method to obtain a plurality of random numbers; comparing each random number with the fault probability of each element respectively to obtain the state of each element; and determining the states and the positions of the elements corresponding to the random numbers as corresponding candidate fault scenes.

In one embodiment, the constraints include: element flow constraints, tie switch constraints, high temperature superconducting cable constraints, node constraints, and power balance constraints; the element flow constraint comprises an alternating current flow constraint and an element capacity limit which are required to be met by the element; the tie switch constraint comprises an alternating current power flow constraint which needs to be met by the tie switch and a tie switch capacity limit; the high-temperature superconducting cable constraint comprises alternating current flow constraint which needs to be met by the high-temperature superconducting cable, deployment budget constraint of the high-temperature superconducting cable and economic constraint of the high-temperature superconducting cable; node constraints comprise node load upper and lower limit constraints, generator output upper and lower limit constraints, distributed power output upper and lower limit constraints and node voltage constraints; the power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network.

In one embodiment, the second determination module 154 includes a first determination unit and a second determination unit, wherein: the first determining unit is used for determining an optimization model according to constraint conditions and objective functions of each fault scene; the second determining unit is used for substituting parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain the weighted user cut load quantity of each fault scene and the position of the target superconducting cable; parameters of the distribution network include generator data, node load data and tie switch data.

In one embodiment, the second determination module 154 further includes an integration unit and a third determination unit, wherein: the integration unit is used for integrating each fault scene into a target fault scene by adopting a gradual opposite-impact algorithm; the third determining unit is used for determining the deployment position of the high-temperature superconducting cable in the target fault scene as the position of the target high-temperature superconducting cable according to the target fault scene and the corresponding constraint conditions.

For specific limitations of the deployment location determining apparatus for high temperature superconducting cables, reference may be made to the above limitations of the deployment location determining method for high temperature superconducting cables, and detailed descriptions thereof are omitted herein. The respective modules in the above-described deployment position determination apparatus for high-temperature superconducting cables may be implemented in whole or in part by software, hardware, and combinations thereof. The above modules may be embedded in hardware or may be independent of a processor in the computer device, or may be stored in software in a memory in the computer device, so that the processor may invoke and perform the operations of the above modules.

In one embodiment of the present application, there is provided a computer device including a memory and a processor, the memory having stored therein a computer program which when executed by the processor performs the steps of:

In one embodiment, the processor when executing the computer program further performs the steps of:

In one embodiment, the above constraints include: element flow constraints, tie switch constraints, high temperature superconducting cable constraints, node constraints, and power balance constraints; the element flow constraint comprises an alternating current flow constraint and an element capacity limit which are required to be met by the element; the tie switch constraint comprises an alternating current power flow constraint which needs to be met by the tie switch and a tie switch capacity limit; the high-temperature superconducting cable constraint comprises alternating current flow constraint which needs to be met by the high-temperature superconducting cable, deployment budget constraint of the high-temperature superconducting cable and economic constraint of the high-temperature superconducting cable; node constraints comprise node load upper and lower limit constraints, generator output upper and lower limit constraints, distributed power output upper and lower limit constraints and node voltage constraints; the power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network.

The implementation principle and technical effects of the computer device provided by the embodiment of the present application are similar to those of the above method embodiment, and are not described herein.

In one embodiment of the present application, there is provided a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, performs the steps of:

In one embodiment, the computer program when executed by the processor further performs the steps of:

The computer readable storage medium provided in this embodiment has similar principles and technical effects to those of the above method embodiment, and will not be described herein.

Those skilled in the art will appreciate that implementing all or part of the above described methods may be accomplished by way of a computer program stored on a non-transitory computer readable storage medium, which when executed, may comprise the steps of the embodiments of the methods described above. Any reference to memory, storage, database, or other medium used in embodiments provided herein may include non-volatile and/or volatile memory. The nonvolatile memory can include Read Only Memory (ROM), programmable ROM (PROM), electrically Programmable ROM (EPROM), electrically Erasable Programmable ROM (EEPROM), or flash memory. Volatile memory can include Random Access Memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in a variety of forms such as Static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double Data Rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous Link DRAM (SLDRAM), memory bus direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), among others.

The technical features of the above embodiments may be arbitrarily combined, and all possible combinations of the technical features in the above embodiments are not described for brevity of description, however, as long as there is no contradiction between the combinations of the technical features, they should be considered as the scope of the description.

The foregoing examples illustrate only a few embodiments of the application, which are described in detail and are not to be construed as limiting the scope of the claims. It should be noted that it will be apparent to those skilled in the art that several variations and modifications can be made without departing from the spirit of the application, which are all within the scope of the application. Accordingly, the scope of protection of the present application is to be determined by the appended claims.

Claims

1. A method for determining a deployment location of a high temperature superconducting cable, the method comprising:

acquiring the fault probability of elements in the power distribution network under the extreme event of preset intensity and the critical length of the high-temperature superconducting cable corresponding to each element; the critical length of the high-temperature superconducting cable is determined according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element; the critical length of the high-temperature superconducting cable is the shortest length which meets the economical efficiency of the deployment of the high-temperature superconducting cable;

Determining each fault scene according to the fault probability; the fault scene comprises the position of each element and the state of each element;

constructing constraint conditions corresponding to each fault scene according to the states of elements in each fault scene, the critical length and the operation rule of the power distribution network; the constraint conditions include: element flow constraints, tie switch constraints, high temperature superconducting cable constraints, node constraints, and power balance constraints; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which are required to be met by the element; the tie switch constraint comprises an alternating current power flow constraint which needs to be met by the tie switch and a tie switch capacity limit; the high-temperature superconducting cable constraint comprises an alternating current flow constraint which needs to be met by the high-temperature superconducting cable, a deployment budget constraint of the high-temperature superconducting cable and an economical constraint of the high-temperature superconducting cable; the node constraint comprises node load upper and lower limit constraint, generator output upper and lower limit constraint, distributed power output upper and lower limit constraint and node voltage constraint; the power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network;

determining the position of the target temperature superconducting cable according to a preset objective function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the user cut load amount when the extreme event occurs;

The formula of the failure probability of the element under the extreme event of preset intensity is as follows:

wherein p is _ij As probability of failure lambda _ij T, the failure rate of the element in extreme event _y The time corresponding to the failure rate;

the formula of the installation cost of the element is as follows:

wherein,for the cost of installation of the components, l _n For the length of the element, I _n For the current through the element χ _n Is the price of the component;

the formula of the running cost of the element is:

wherein,for the running cost of the element, d is the discount factor, u _n Omega for utilization of the element _n Loss per unit length of element;

the formula of the installation cost of the high-temperature superconducting cable corresponding to the element is as follows:

wherein,is the installation cost of the high-temperature superconductive cable, l _c Is critical length of high temperature superconductive cable, I _c For passing current through high temperature superconducting cable χ _c R is the price of unit heat load refrigerant for the price of the high-temperature superconducting cable; θ is the heat leakage loss of the high-temperature superconducting cable in unit length; omega _c Loss of the high-temperature superconducting cable in unit length; τ is the loss of the refrigerator；

The formula of the operation cost of the high-temperature superconducting cable corresponding to the element is as follows:

wherein,the operation cost of the high-temperature superconducting cable is epsilon is the electric charge, d is the matching factor, rho is the power required by the refrigerator to take away the 1W heat load, u _c The utilization rate of the high-temperature superconducting cable is improved;

the formula of the alternating current power flow constraint to be satisfied by the element is as follows:

the element capacity limit to be satisfied by the element is expressed as:

wherein P is _ij For active power of element, Q _ij For reactive power of the element, P _ij ^max For maximum active power of element, Q _ij ^max For maximum reactive power of the element b _ij Susceptance of element g _ij For the conductance of the element s _ij V is the state of the element _i For the voltage of node i, v _j For the voltage of node j, θ _i For the phase angle of node i, θ _j M is a preset constant for the phase angle of the node j; b is a set formed by any two nodes in the power distribution network;

the formula of the alternating current power flow constraint to be satisfied by the tie switch is as follows:

the formula of the capacity limit of the interconnection switch which is required to be met by the interconnection switch is as follows:

wherein P is _ij ^s To communicate with active power of the switch, Q _ij ^s To communicate reactive power of the switch, P _ij ^smax To communicate with the maximum active power of the switch, Q _ij ^smax To communicate with the maximum reactive power of the switch b _ij ^s Susceptance g for tie switch _ij ^s To communicate the conductance of the switch s _ij ^s S is the collection of all interconnection switch nodes in the power distribution network;

the formula of the alternating current power flow constraint to be satisfied by the high-temperature superconducting cable is as follows:

The deployment budget constraint formula of the high-temperature superconducting cable is as follows:

the formula of the economical constraint of the high-temperature superconducting cable is as follows:

wherein P is _ij ^c The active power of the high-temperature superconducting cable; q (Q) _ij ^c Reactive power of the high-temperature superconducting cable; b _ij ^c Susceptance of the high-temperature superconducting cable; s is(s) _ij ^c Decision binary variables for whether the high-temperature superconducting cable is deployed or not, wherein N is a node set in the power distribution network; c is the collection of all high-temperature superconducting cable nodes in the power distribution network; x is X _c Budget for deployment of high temperature superconducting cables;is the length of the high-temperature superconducting cable; l (L) ^min The critical length of the high-temperature superconducting cable is obtained according to the installation cost and the operation cost of the element and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to the element;

the formula of the node load upper and lower limit constraint is as follows:

the formula of the constraint of the upper limit and the lower limit of the output of the generator is as follows:

the formula of the upper and lower limit constraint of the distributed power supply output is as follows:

the formula of the node voltage constraint is as follows:

wherein,active power for node load, +.>For maximum active power of node load, +.>Reactive power for node load, N is node set in power distribution network, < >>For maximum power angle +.>For minimum power angle, +. >For the active power of the generator, +.>For maximum active power of the generator, +.>For reactive power of the generator, < >>For minimum reactive power of the generator, < > for>For maximum reactive power of the generator, G is the set of generator nodes, +.>Active power for distributed power supply, +.>Maximum active power for distributed power supply, +.>Reactive power for distributed power supply, +.>For minimum reactive power of the distributed power supply, +.>The DG is a distributed power supply node set, and the DG is the maximum reactive power of the distributed power supply;

the formula of the active power balance constraint of the power distribution network is as follows:

A _BR P+A _S P ^s +A _D P ^d +A _C P ^c ＝A _G P ^g +A _DG P ^dg ；

the reactive power balance constraint formula of the power distribution network is as follows:

A _BR Q+A _S Q ^s +A _D Q ^d +A _C Q ^c ＝A _G Q ^g +A _DG Q ^dg ；

wherein P is the active power of the element; q is the reactive power of the element; p (P) ^s Active power of the tie switch; q (Q) ^s Reactive power for the tie switch; p (P) ^d Active power for node load; q (Q) ^d Reactive power for node load; p (P) ^c The active power of the high-temperature superconducting cable; q (Q) ^c Reactive power of the high-temperature superconducting cable; p (P) ^g Is the active power of the generator; q (Q) ^g Reactive power of the generator; p (P) ^dg Active power for distributed power supply; q (Q) ^dg Reactive power for a distributed power supply; a is that _BR ,A _S ,A _D ,A _C ,A _G ,A _DG The system comprises an element, a tie switch, a load, a high-temperature superconducting cable, a generator and a correlation matrix of a distributed power supply.

2. The method according to claim 1, wherein the obtaining the probability of failure of the element in the distribution network in the extreme event of a preset intensity comprises:

according to the preset intensity and the failure rate of the element under the non-extreme event, calculating the failure rate of the element under the extreme event;

and calculating the fault probability according to the fault rate under the extreme event and the time corresponding to the fault rate under the extreme event.

3. The method according to any one of claims 1 or 2, wherein said determining each fault scenario from said fault probability comprises:

generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element;

and screening the plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.

4. A method according to claim 3, wherein said generating a plurality of candidate fault scenarios using the monte carlo method and the probability of failure of each of said elements comprises:

sampling a preset numerical range by adopting the Monte Carlo method to obtain a plurality of random numbers;

comparing each random number with the fault probability of each element respectively to obtain the state of each element;

And determining the state and the position of each element corresponding to each random number as a corresponding candidate fault scene.

5. The method according to any one of claims 1 or 2, wherein determining the position of the target-temperature superconducting cable according to a preset objective function, constraints corresponding to each of the fault scenarios, and each of the fault scenarios comprises:

determining an optimization model according to constraint conditions and objective functions of each fault scene;

substituting parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain weighted user load shedding amounts of each fault scene and the position of the target high-temperature superconducting cable; the parameters of the power distribution network comprise generator data, node load data and tie switch data.

6. The method according to any one of claims 1 or 2, wherein determining the position of the target-temperature superconducting cable according to a preset objective function, constraints corresponding to each of the fault scenarios, and each of the fault scenarios comprises:

adopting a gradual hedging algorithm to integrate each fault scene into a target fault scene;

And determining the deployment position of the high-temperature superconducting cable in the target fault scene as the position of the target high-temperature superconducting cable according to the target fault scene and the corresponding constraint condition.

7. A computer device comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, implements the steps of the method of any of claims 1 to 6.