CN112686440A - Method, device and equipment for determining deployment position of high-temperature superconducting cable - Google Patents

Method, device and equipment for determining deployment position of high-temperature superconducting cable Download PDF

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CN112686440A
CN112686440A CN202011579213.6A CN202011579213A CN112686440A CN 112686440 A CN112686440 A CN 112686440A CN 202011579213 A CN202011579213 A CN 202011579213A CN 112686440 A CN112686440 A CN 112686440A
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fault
temperature superconducting
superconducting cable
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CN112686440B (en
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田妍
王红斌
方健
何嘉兴
林浩博
林翔
尹旷
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Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
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Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
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Abstract

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

Description

Method, device and equipment for determining deployment position of high-temperature superconducting cable
Technical Field
The present application relates to the field of power distribution network technologies, and in particular, to a method, an apparatus, a device, and a storage medium for determining a deployment location of a high-temperature superconducting cable.
Background
In recent years, extreme events such as natural disasters and man-made attacks are more and more frequent, and the occurrence of the extreme events seriously affects the stable operation of a power system. In order to ensure stable operation of the power system, the restoring force of the distribution network needs to be increased.
The restoring force of the power distribution network may include: the system comprises the power distribution network, a power grid, a controller and a controller, wherein the power distribution network has the capability of predicting an extreme event before the extreme event occurs, the capability of reducing the load shedding amount as much as possible during the occurrence of the extreme event, and the capability of recovering to a normal operation state after the extreme event occurs. At present, in the research of improving the restoring force of the power distribution network, the importance of elements of the power distribution network is mainly evaluated, the elements with higher importance are reinforced before extreme events occur according to the evaluation result of the importance of the elements, and the elements with higher importance are repaired firstly after the extreme events occur, so that the restoring force of the power distribution network is improved.
However, in this way, the restoring force of the distribution network is low when a large-scale power flow transfer occurs in the distribution network.
Disclosure of Invention
Based on this, 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 resilience of a power distribution network.
In a first aspect, there is provided a method for determining a deployment location of a hts cable, the method including:
acquiring the fault probability of elements in a power distribution network under an extreme event with preset intensity and the critical length of a 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 state and the critical length of each element in each fault scene and the operation rule of the power distribution network; determining the position of a target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to fault scenes and the fault scenes; the objective function represents the amount of user load shedding when an extreme event occurs.
In one embodiment, acquiring the failure probability of an element in the power distribution network under an extreme event with preset intensity comprises:
calculating the failure rate of the element under the extreme event according to the preset intensity and the failure rate of the element under the non-extreme event; and calculating the fault probability according to the fault rate and the time corresponding to the fault rate.
In one embodiment, obtaining the critical length of the hts cable corresponding to each component in the 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 fault probability includes:
generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element; and screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.
In one embodiment, generating a plurality of candidate fault scenarios by using a monte carlo method and fault probabilities of elements comprises:
sampling a preset value 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 state and the position of each element corresponding to each random number as a corresponding candidate fault scene.
In one embodiment, the constraint condition includes: element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element; the tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch; the high-temperature superconducting cable constraint comprises an alternating current power 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 economic constraint of the high-temperature superconducting cable; the node constraints comprise upper and lower limit constraints of node load, upper and lower limit constraints of generator output, upper and lower limit constraints of distributed power supply output and node voltage constraints; the power balance constraints comprise active power balance constraints and reactive power balance constraints of the power distribution network.
In one embodiment, determining the position of the target hts cable according to a preset objective function, constraint conditions corresponding to each fault scenario, and each fault scenario includes:
determining an optimization model according to the constraint conditions and the objective function of each fault scene; substituting the parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data.
In one embodiment, determining the position of the target hts cable according to a preset objective function, constraint conditions corresponding to each fault scenario, and each fault scenario includes:
integrating all fault scenes into a target fault scene by adopting a step-by-step hedging algorithm; 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 conditions.
In a second aspect, there is provided a deployment position determining apparatus for a high temperature superconducting cable, the apparatus including:
the acquisition module is used for acquiring the fault probability of the elements in the power distribution network under the extreme event of preset strength 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 state and the critical length of each element in each fault scene and the operation rule of the power distribution network;
the second determining module is used for determining the position of the target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the amount of user load shedding when an extreme event occurs.
In a third aspect, a computer device is provided, comprising a memory and a processor, the memory storing a computer program, the computer program, when executed by the processor, implementing the method steps in any of the embodiments of the first aspect.
In a fourth aspect, a computer-readable storage medium is provided, on which a computer program is stored, which computer program, when being executed by a processor, is adapted to carry out the method steps of any of the embodiments of the first aspect described above.
According to the method, the device, the equipment and the storage medium for determining the deployment position of the high-temperature superconducting cable, the failure probability of the elements in the power distribution network under the extreme event with preset strength 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 state and the critical length of each element in each fault scene and the operation rule of the power distribution network; and determining the position of the target high-temperature superconducting cable according to a preset target function, the constraint conditions corresponding to each fault scene and each fault scene. The accurate position of the high-temperature superconducting cable is determined by simulating the extreme event, and the rationality of deploying the high-temperature superconducting cable in the power distribution network can be improved before the extreme event occurs. Furthermore, when the large-range power flow transfer occurs to the power distribution network, the high-temperature superconducting cable is deployed, the condition that a power transmission path is blocked is avoided, the load shedding amount of a user is reduced, and the restoring force of the power distribution network is improved.
Drawings
FIG. 1 is a block diagram of a computer device provided by an embodiment of the present application;
fig. 2 is a flowchart of a method for determining a deployment position of a hts cable according to an embodiment of the present application;
fig. 3 is a flowchart of a method for determining a deployment position of a hts cable according to an embodiment of the present application;
fig. 4 is a flowchart of a method for determining a deployment position of a hts cable according to an embodiment of the present application;
fig. 5 is a flowchart of a method for determining a deployment position of a hts cable according to an embodiment of the present application;
fig. 6 is a flowchart of a method for determining a deployment position of a hts cable according to an embodiment of the present application;
fig. 7 is a flowchart of a deployment location determining method for a hts cable according to an embodiment of the present application;
fig. 8 is a flowchart of a method for determining a deployment position of a hts cable according to an embodiment of the present application;
fig. 9 is a flowchart of a deployment location determining method for a high temperature superconducting cable according to an embodiment of the present application;
fig. 10 is a schematic view of a deployment position of a high temperature superconducting cable according to an embodiment of the present application;
FIG. 11 is a schematic diagram illustrating performance of a flexible power system in an extreme event according to an embodiment of the present disclosure;
fig. 12 is a schematic diagram of a power flow transition in an extreme event according to an embodiment of the present application;
fig. 13 is a schematic view of a deployment position of a high temperature superconducting cable according to an embodiment of the present application;
FIG. 14 is a graph illustrating a load shedding comparison provided in accordance with an embodiment of the present disclosure;
fig. 15 is a block diagram of a deployment position determination apparatus for a high-temperature superconducting cable according to an embodiment of the present application.
Detailed Description
To make the objects, technical solutions and advantages of the present application more clear, embodiments of the present application will be described in further detail below with reference to the accompanying drawings.
The method for determining the deployment position of the high-temperature superconducting cable can be applied to computer equipment, the computer equipment can be a server or a terminal, wherein the server can be one server or a server cluster consisting of a plurality of servers.
Taking the example of a computer device being a server, FIG. 1 shows a block diagram of a server, which may include a processor and memory connected by a system bus, as shown in FIG. 1. Wherein the processor of the server is configured to provide computing and control capabilities. The memory of the server comprises a nonvolatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program, and a database. The internal memory provides an environment for the operation of an operating system and computer programs in the non-volatile storage medium. The computer program is executed by a processor to implement a deployment location determination method for a high temperature superconducting cable.
Those skilled in the art will appreciate that the architecture shown in fig. 1 is a block diagram of only a portion of the architecture associated with the subject application, and does not constitute a limitation on the servers to which the subject application applies, and that servers may alternatively include more or fewer components than those shown, or combine certain components, or have a different arrangement of components.
It should be noted that the execution subject of the embodiment of the present application may be a computer device, or may be a deployment position determining apparatus for a high temperature superconducting cable, and the following method embodiment is described with the computer device as the execution subject.
In one embodiment, as shown in fig. 2, there is shown a flowchart of a deployment location determination method of a hts cable provided by an embodiment of the present application, which may include the following steps:
step 201, obtaining the failure probability of the 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, the elements in the power distribution network can break down under extreme events, and the extreme events comprise natural disasters, artificial attacks and other events. In practical applications, the experiment may be simulated by giving an extreme event with a preset intensity, for example, the extreme event may be a super-strong typhoon, and the preset intensity may be a typhoon wind speed value, which may be arbitrarily set. The failure probability of an element in the power distribution network under an extreme event with preset intensity is the probability that the element may fail under the extreme event, the failure probability of the element can be directly obtained according to historical empirical data, and mathematical operation can be performed according to the failure rate of the element under a non-extreme event to obtain the failure probability of the element.
After an element in a super-large city power distribution network breaks down under an extreme event, when large-range tide transfer is faced, the situation of transmission path blockage is easy to occur due to the fact that the capacity of a transmission line is limited, and therefore the situation of transmission path blockage can be avoided by reasonably deploying a high-temperature superconducting cable. The high-temperature superconducting cable is a power facility which adopts an unobstructed superconducting material capable of transmitting high current density as a conductor and can transmit 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 obtained by calculation according to the installation cost and the operation cost of the high-temperature superconducting cable under the condition of setting the life cycle and the 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 state of each element.
After the failure probability of the elements is obtained, each failure scenario can be determined according to the failure probability, and the failure scenario includes the positions of the elements and the states of the elements. The positions of the elements can be positions corresponding to elements which are selected from all elements of the power distribution network in advance according to experience and are likely to have faults, the states of the elements are information for describing the working states of the elements, and the states of the elements can include a damaged state and a normal state.
When each fault scene is determined according to the fault probability, the states of each element can be obtained by comparing the obtained fault probability of each element with a preset fixed value, the states of all the elements form the fault scene, and if the preset fixed values are multiple, 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, so that multiple fault scenes can be formed. The method can also generate a plurality of random numbers by generating random numbers, and then compare the obtained failure probability of each element with the generated random numbers to obtain the states of each element corresponding to different random numbers, wherein the states of all elements corresponding to each random number and the positions of the elements form a failure scene, so that a plurality of failure scenes are formed.
And step 203, constructing constraint conditions corresponding to each fault scene according to the states of the elements in each fault scene, the critical length and the operation rule of the power distribution network.
The method comprises the steps of establishing constraint conditions corresponding to fault scenes according to states and critical lengths of elements in the fault scenes and operation rules of the power distribution network, wherein the constraint conditions are constraints on state parameters of the power distribution network under 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 nodes in the power distribution network flow in and flow out.
Step 204, determining the position of the target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the amount of user load shedding when an extreme event occurs.
The position of the target high-temperature superconducting cable is determined according to a preset target function, constraint conditions corresponding to fault scenes and the fault scenes, the position of the target high-temperature superconducting cable is the position of the high-temperature superconducting cable deployed in the power distribution network, and the position of the target high-temperature superconducting cable can be obtained by solving the preset target function through the constraint conditions corresponding to the fault scenes. The objective function represents the user load shedding amount when an extreme event occurs, 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 influenced, 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 is, the more accurate the position of the target high-temperature superconducting cable is.
In the embodiment, the failure probability of the elements in the power distribution network under the extreme event with 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 state and the critical length of each element in each fault scene and the operation rule of the power distribution network; and determining the position of the target high-temperature superconducting cable according to a preset target function, the constraint conditions corresponding to each fault scene and each fault scene. The accurate position of the high-temperature superconducting cable is determined by simulating the extreme event, and the rationality of deploying the high-temperature superconducting cable in the power distribution network can be improved before the extreme event occurs. Furthermore, when the large-range power flow transfer occurs to the power distribution network, the high-temperature superconducting cable is deployed, the condition that a power transmission path is blocked is avoided, the load shedding amount of a user is reduced, and the restoring force of the power distribution network is improved.
In one embodiment, as shown in fig. 3, which shows a flowchart of a method for determining a deployment location of a hts cable according to an embodiment of the present application, the present embodiment relates to a possible process for calculating failure probability of each component, 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 intensity 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 formula (1).
Figure BDA0002863969370000071
W (t) is the preset intensity of the extreme event around the element at the time t and is a constant; lambda [ alpha ]ij(w (t)) is the failure rate of the element at the predetermined intensity; lambda [ alpha ]normThe failure rate of the element under normal condition; gamma ray1、γ2And gamma3All are fitting parameters and can be set manually.
And 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 through the formula (2).
Figure BDA0002863969370000072
Wherein λ isijCalculating the failure rate of the element under the preset strength obtained by the formula (1); t isyThe time corresponding to the failure rate is taken as unit 1; p is a radical ofijIs the failure probability of the component.
In the embodiment, the failure rate of the element under the extreme event is calculated according to the preset intensity and the failure rate of the element under the non-extreme event; 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 shows a flowchart of a method for determining a deployment location of a hts cable according to an embodiment of the present application, the embodiment relates to a process for calculating a critical length of a hts 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 the formula (3) and the formula (4), respectively, and the installation cost and the operation cost of the high-temperature superconducting cable corresponding to each element can be calculated by the formula (5) and the formula (6), respectively.
Figure BDA0002863969370000081
Figure BDA0002863969370000082
Figure BDA0002863969370000083
Figure BDA0002863969370000084
Wherein the content of the first and second substances,
Figure BDA0002863969370000085
is the cost of installation of the components;
Figure BDA0002863969370000086
is the running cost of the element;
Figure BDA0002863969370000087
the installation cost of the high-temperature superconducting cable;
Figure BDA0002863969370000088
is a high temperature superThe operating cost of the conductor cable; lcIs the critical length of the high temperature superconducting cable.
lnIs the length of the element; i isnIs the current through the element; chi shapenIs the price of the component; d is a discount factor describing the currency depreciation; u. ofnIs the utilization ratio of the element; omeganLoss per unit length element; i iscIs the current through the high temperature superconducting cable; chi shapecThe price of the high-temperature superconducting cable; r is the price of refrigerant per unit heat load; theta is the heat leakage loss of the high-temperature superconducting cable with unit length; omegacLoss per unit length of high temperature superconducting cable; τ is refrigerator loss; epsilon is the electricity charge; rho is the power required by the refrigerator to carry away 1W of heat load; u. ofcThe utilization rate of the high-temperature superconducting cable is obtained; are all 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 the critical length of the hts cable corresponding to each element is calculated according to the installation cost and the operation cost of each element and the installation cost and the operation cost of the hts cable corresponding to each element, the critical length l of the hts cable corresponding to each element can be solved according to a simultaneous equation set in which the installation cost of each element in formula (3) is equal to the installation cost of the hts cable corresponding to each element in formula (5) and the safe operation cost of each element in formula (4) is equal to the operation cost of the hts cable corresponding to each element in 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 an embodiment, as shown in fig. 5, which shows a flowchart of a deployment location determination method of a hts cable according to an embodiment of the present application, this embodiment relates to a possible process of determining fault scenarios, and the method may include the following steps:
step 501, generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element.
The Monte Carlo method is a random sampling technology, when a plurality of candidate fault scenes are generated, a plurality of random numbers can be generated by adopting the Monte Carlo method, the obtained fault probability of each element is compared with the generated random numbers to obtain the 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 combined into one candidate fault scene, so that a plurality of candidate fault scenes are formed.
And 502, screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.
The method comprises the steps of screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scenes, and selecting a preset number of fault scenes from each candidate fault scene according to the preset number of the fault scenes when each candidate fault scene selects the fault scenes. Optionally, a preset number of fault scenes may be selected at will from the candidate fault scenes, and after the occurrence times of the candidate fault scenes are counted and sorted, a preset number of fault scenes with a large occurrence time are selected from the candidate fault scenes.
In the embodiment, a plurality of candidate fault scenes are generated by adopting a Monte Carlo method and the fault probability of each element; screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the 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 moreover, 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 an embodiment, as shown in fig. 6, which shows a flowchart of a method for determining a deployment location of a hts cable according to an embodiment of the present application, the embodiment relates to a process for determining a candidate fault scenario, and the method may include the following steps:
step 601, sampling a preset value 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 to be [0,1], namely, after sampling is carried out in the [0,1] range by adopting the Monte Carlo method, a plurality of random numbers are obtained.
Step 602, comparing each random number with the failure probability of each element to obtain the state of each element.
The state of each element can be obtained by comparing each random number with the failure probability of each element through formula (7), and the state of each element can be described by using a binary variable, for example, the normal state is represented as 0, and the damaged state is represented as 1.
Figure BDA0002863969370000101
Wherein s isijIs the state of element ij; r is the value obtained by the Monte Carlo method at [0,1]]Random numbers obtained within the range; p is a radical ofijIs the probability of damage to element ij; i and j are nodes in the power distribution network.
Step 603, determining the state and position of each element corresponding to each random number as a corresponding candidate fault scenario.
The states of all the elements and the positions of the elements corresponding to each random number are constructed into a candidate fault scene, that is, the candidate fault scene corresponding to each random number, for example, the random numbers are 0.2 and 0.3, the elements include 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 respectively 0 and 1; 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 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 locations of element 12 and element 23 for a random number of 0.3 constitute 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 state and the position of each element corresponding to each random number as a corresponding candidate fault scene. After the plurality of random numbers generated by adopting 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 obtaining the state of each element is improved.
In one embodiment, when determining the position of the target hts cable according to a preset objective function, constraint conditions corresponding to each fault scenario, and each fault scenario, the constraint conditions corresponding to each fault scenario need to be determined first, where the constraint conditions include: element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element; the tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch; the high-temperature superconducting cable constraint comprises an alternating current power 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 economic constraint of the high-temperature superconducting cable; the node constraints comprise upper and lower limit constraints of node load, upper and lower limit constraints of generator output, upper and lower limit constraints of distributed power supply output and node voltage constraints; the power balance constraints comprise active power balance constraints and reactive power balance constraints of the power distribution network.
The element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element, wherein the alternating current power flow constraint is shown as a formula (8) and a formula (9); the element capacity limit is shown in equation (10) and equation (11).
Figure BDA0002863969370000111
Figure BDA0002863969370000112
Figure BDA0002863969370000113
Figure BDA0002863969370000114
Wherein, PijIs the active power of the element; qijIs the reactive power of the element; pij maxIs the maximum active power of the element; qij maxIs the maximum reactive power of the element; bijIs the susceptance of the element; gijIs the conductance of the element; sijIs the state of the element, which is binary for each fault scenario; v. ofiIs the voltage at node i; v. ofjIs the voltage at node j; thetaiIs the phase angle of node i; thetajIs the phase angle of node j; m is a constant set by one person; and B is a set formed by any two nodes in the power distribution network.
The tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch, and the alternating current power flow constraints are shown in a formula (12) and a formula (13); the tie switch capacity limit is shown in equations (14) and (15).
Figure BDA0002863969370000115
Figure BDA0002863969370000116
Figure BDA0002863969370000121
Figure BDA0002863969370000122
Wherein, Pij sActive power to tie the switch; qij sIs the reactive power of the tie switch; pij smaxTo tie the maximum active power of the switch; qij smaxMaximum reactive power for the tie switch; bij sIs the susceptance of the tie switch; gij sIs the conductance of the tie switch; sij sTo tie the state of the switch, it is a binary number for each fault scenario; v. ofiIs the voltage at node i; v. ofjIs the voltage at node j; thetaiIs the phase angle of node i; thetajIs the phase angle of node j; m is a constant set by one person; and S is a set of all contact switch nodes in the power distribution network.
The high-temperature superconducting cable constraints comprise alternating current power flow constraints which need to be met by the high-temperature superconducting cable, deployment budget constraints of the high-temperature superconducting cable and economic constraints of the high-temperature superconducting cable, wherein the alternating current power flow constraints are shown as a formula (16) and a formula (17); the budget constraint for the deployment of the high temperature superconducting cable is shown in equation (18); the economic constraint of the high temperature superconducting cable is shown in equation (19).
Figure BDA0002863969370000123
Figure BDA0002863969370000124
Figure BDA0002863969370000125
Figure BDA0002863969370000126
Wherein, Pij cActive power of the high-temperature superconducting cable; qij cThe reactive power of the high-temperature superconducting cable; bij cIs the susceptance of the high-temperature superconducting cable; sij cA decision binary variable for whether the high-temperature superconducting cable is deployed or not; v. ofiIs the voltage at node i; v. ofjIs the voltage at node j; thetaiIs the phase angle of node i; thetajIs the phase angle of node j; m is a constant set by one person; n is a node set in the power distribution network; c is the set of all high-temperature superconducting cable nodes in the power distribution network; xcBudgeting for deployment of high temperature superconducting cables;
Figure BDA0002863969370000128
is the length of the high temperature superconducting cable; lminThe critical length of the high temperature superconducting cable calculated according to the formula (3) to the formula (6).
The node constraints comprise node load upper and lower limit constraints, generator output upper and lower limit constraints, distributed power supply output upper and lower limit constraints and node voltage constraints, wherein the node load upper and lower limit constraints are shown as a formula (20) and a formula (21); the upper and lower limits of the output of the generator are restricted as shown in a formula (22) and a formula (23); the upper and lower limits of the distributed power output are restricted as shown in the formula (24) and the formula (25); the node voltage constraint is shown in equation (26).
Figure BDA0002863969370000127
Figure BDA0002863969370000131
Figure BDA0002863969370000132
Figure BDA0002863969370000133
Figure BDA0002863969370000134
Figure BDA0002863969370000135
Figure BDA0002863969370000136
Wherein the content of the first and second substances,
Figure BDA0002863969370000137
active power of the node load;
Figure BDA0002863969370000138
the maximum active power of the node load;
Figure BDA0002863969370000139
reactive power for the node load; n is a node set in the power distribution network;
Figure BDA00028639693700001310
is the maximum power angle;
Figure BDA00028639693700001311
is the minimum power angle;
Figure BDA00028639693700001312
active power of the generator;
Figure BDA00028639693700001313
the maximum active power of the generator;
Figure BDA00028639693700001314
is the reactive power of the generator;
Figure BDA00028639693700001315
is the minimum reactive power of the generator;
Figure BDA00028639693700001316
the maximum reactive power of the generator; g is a generator node set;
Figure BDA00028639693700001317
active power for the distributed power supply;
Figure BDA00028639693700001318
the maximum active power of the distributed power supply;
Figure BDA00028639693700001319
is the reactive power of the distributed power supply;
Figure BDA00028639693700001320
is the minimum reactive power of the distributed power supply;
Figure BDA00028639693700001321
the maximum reactive power of the distributed power supply; DG is a distributed power node set; v. ofjIs the voltage of the node.
The power balance constraint comprises an active power balance constraint and a reactive power balance constraint of the power distribution network, and the active power balance constraint is shown as a formula (27); the reactive power balance constraint is shown in equation (28).
ABRP+ASPs+ADPd+ACPc=AGPg+ADGPdg (27)
ABRQ+ASQs+ADQd+ACQc=AGQg+ADGQdg (28)
Wherein P is the active power of the element; q is the reactive power of the element; psActive power to tie the switch; qsIs the reactive power of the tie switch; pdActive power of the node load; qdIs a nodeReactive power of the load; pcActive power of the high-temperature superconducting cable; qcThe reactive power of the high-temperature superconducting cable; pgActive power of the generator; qgIs the reactive power of the generator; pdgActive power for the distributed power supply; qdgIs the reactive power of the distributed power supply; a. theBR,AS,AD,AC,AG,ADGThe correlation matrixes are respectively elements, interconnection switches, loads, high-temperature superconducting cables, generators and distributed power supplies; BR, S, D, C, G, DG are the set of elements, tie switches, loads, high temperature superconducting cables, generators, and distributed power nodes, respectively.
In the embodiment, through the five groups of constraint conditions of element flow constraint, interconnection 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 solution of the objective function is more accurate, 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 method for determining a deployment location of a hts cable according to an embodiment of the present application, the embodiment relates to a process for determining a location of a target hts cable, and the method may include the following steps:
and 701, determining an optimization model according to the constraint conditions and the objective function of each fault scene.
The different fault scenes correspond to a constraint condition, and the constraint condition comprises element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint. The optimization model is established according to the constraint conditions and the objective function, and the optimization model is used for solving the load shedding amount of the user and the position of the target high-temperature superconducting cable.
Step 702, 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 load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data.
The target function is shown as a formula (29), the preset weight can be the probability corresponding to the 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 interconnection switch data, the parameters of the power distribution network are substituted into the optimization model, the optimization model is solved according to the preset weight, the weighted user load shedding amount and the position of the target high-temperature superconducting cable of each fault scene can be obtained, commercial software can be adopted for solving during solving, and the weighted user load shedding amount is the minimum obtained user load shedding amount.
Figure BDA0002863969370000141
Wherein, PsumIs the total active power of the distribution network; pj dActive power of each fault scene node load; and N is a node set in the power distribution network.
In the embodiment, an optimization model is determined according to the constraint conditions and the objective function of each fault scene; substituting the parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data. Because the user load shedding amount can represent the restoring force of the power distribution network, the position of the target high-temperature superconducting cable is determined by calculating the user load shedding amount, the accuracy of determining the position of the high-temperature superconducting cable is improved, and the rationality of deploying the high-temperature superconducting cable is improved.
In one embodiment, as shown in fig. 8, which shows a flowchart of a method for determining a deployment location of a hts cable according to an embodiment of the present application, this embodiment relates to another possible process for determining a location of a target hts cable, and the method may include the following steps:
step 801, integrating all fault scenes into one target fault scene by adopting a step-by-step hedging algorithm.
The mixed integer linear programming problem can be formed through a preset objective function and constraint conditions corresponding to fault scenes, commercial software can be adopted for solving when the objective function is solved and the position of the target high-temperature superconducting cable is determined, and the solution can be carried out by combining a step-by-step hedging algorithm. The step-by-step hedging algorithm is adopted, and a target fault scene can be obtained after a plurality of fault scenes are integrated through operation processing.
And 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, the deployment position of the high-temperature superconducting cable in the target fault scene is determined by solving the optimization model, and the deployment position is used as the position of the target high-temperature superconducting cable.
In the embodiment, a step-by-step hedging algorithm is adopted to integrate all fault scenes into one 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 conditions. The method integrates multiple fault scenes while comprehensively considering the multiple fault scenes, ensures the accuracy of determining the deployment position of the target high-temperature superconducting cable, and reduces the calculation scale of solving the target function, thereby improving the efficiency of determining the deployment position of the target high-temperature superconducting cable.
In one embodiment, as shown in fig. 9, there is shown a flowchart of a deployment position determining method of a hts cable provided by an embodiment of the present application, which may include the following steps:
and step 901, calculating the failure rate of the element under the extreme event according to the preset intensity and the failure rate of the element under the non-extreme event.
And step 902, calculating the fault probability according to the fault rate and the time corresponding to the fault rate.
And step 903, 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 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 the preset value range by adopting a Monte Carlo method to obtain a plurality of random numbers.
And step 906, comparing the random numbers with the failure probability of each element respectively to obtain the state of each element.
Step 907, determining the state and position of each element corresponding to each random number as a corresponding candidate fault scene.
And 908, constructing constraint conditions corresponding to the fault scenes according to the states and critical lengths of the elements in the fault scenes and the operation rule of the power distribution network.
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 the optimization model, and solving the optimization model according to preset weights to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data.
The implementation principle and technical effect of each step in the method for determining the deployment position of the high-temperature superconducting cable provided in this embodiment are similar to those in the foregoing embodiment of the method for determining the deployment position of each high-temperature superconducting cable, and are not described herein again. The implementation manner of each step in the embodiment of fig. 9 is only an example, and is not limited to this, and the order of each step may be adjusted in practical application as long as the purpose of each step can be achieved.
In the technical scheme provided by the embodiment of the application, because the accurate position for deploying the high-temperature superconducting cable is determined by simulating the extreme event, 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 large-range power flow transfer occurs to the power distribution network, the high-temperature superconducting cable is deployed, the condition that a power transmission path is blocked is avoided, the load shedding amount of a user is reduced, and the restoring force of the power distribution network is improved.
It should be understood that although the various steps in the flow charts of fig. 2-9 are shown in order as indicated by the arrows, the steps are not necessarily performed in order as indicated by the arrows. The steps are not performed in the exact order shown and described, and may be performed in other orders, unless explicitly stated otherwise. Moreover, at least some of the steps in fig. 2-9 may include multiple steps or multiple stages, which are not necessarily performed at the same time, but may be performed at different times, which are not necessarily performed in sequence, but may be performed in turn or alternately with other steps or at least some of the other steps.
The technical scheme provided by the embodiment of the application is also experimentally verified, and an improved IEEE 123 node power distribution network is used, wherein the improved IEEE 123 node power distribution network comprises 3 distributed power sources. The distributed power supply is an oil-fired generator or a gas-fired generator, so that the distributed power supply is not influenced by storm disasters and can be normally used; the nodes 2, 25, 36, 57, 47, 122, 61, 90, 111, 115, 97, 117 are each connected by a tie line and are normally disconnected. Wherein the deployment positions and load shedding amounts under different deployment budgets are shown in table 1 and fig. 10; fig. 11 is a schematic diagram of the performance of the elastic power system in an extreme event, including a conventional power system, i.e., a conventional distribution network, and an elastic distribution network, i.e., a distribution network capable of handling the extreme event; fig. 12 is a schematic diagram of power flow transition in an extreme event.
It can be seen that after the high-temperature superconducting cables are deployed, the load shedding amount is significantly reduced, and when the high-temperature superconducting cables are deployed at 3, 4 and 5 budgets, the load shedding amount is reduced by 34.8%, 38.9% and 41.2%, respectively, compared with the case of not deploying the high-temperature superconducting cables.
TABLE 1
Deployment budget X=0 X=3 X=4 X=5
Deployment site / 32,58,110 1,32,58,110 1,32,58,60,110
Tangential load (kw) 2687.52 1752.23 1641.03 1580.13
In addition, in order to study the effect of the fault scenario on the deployment scenario, three typical fault scenarios were set as control cases, and the deployment budget was assumed to be 4. Fig. 13 is a schematic diagram of a deployment result of the high-temperature superconducting cable in different fault scenarios and different scenarios. It can be seen that the configuration results of the high-temperature superconducting cables in different fault scenarios are obviously different, and if only the high-temperature superconducting cable deployment method is studied for a single fault configuration, the comprehensive optimization effect on each typical fault scenario is not good, so that the influence of various typical fault scenarios on the deployment scheme of the high-temperature superconducting cables needs to be comprehensively considered.
Furthermore, the load shedding amount (optimized deployment scheme) obtained by the technical solution provided by the present application is compared with the random deployment load shedding amount (random deployment scheme), as shown in fig. 14, when the deployment budgets are 3, 4, and 5, respectively, the random deployment position is shown in table 2. It can be seen that the technical scheme provided by the application can obviously reduce the load shedding amount in 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 position determining apparatus 150 for a hts cable according to an embodiment of the present application is shown, including: an obtaining module 151, a first determining module 152, a constructing module 153, and a second determining module 154, wherein:
the obtaining module 151 is configured to obtain a failure probability of an element in the power distribution network under an extreme event with preset strength and a critical length of the 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 building module 153 is configured to build constraint conditions corresponding to each fault scenario according to the states and critical lengths of the elements in each fault scenario and the operation rule of the power distribution network;
a second determining module 154, configured to determine a position of the target hts cable according to a preset target function, constraint conditions corresponding to each fault scenario, and each fault scenario; the objective function represents the amount of user load shedding when an extreme event occurs.
In one embodiment, the obtaining module 151 includes a first computing unit and a second computing unit, wherein: the first calculating unit is used for calculating the fault rate of the element under the extreme event according to the preset intensity and the fault 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 obtaining module 151 further comprises an obtaining unit and a third calculating 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; and the third calculating 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 determination module 152 includes a generation 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 candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.
In an 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 state and the position of each element corresponding to each random number as a corresponding candidate fault scene.
In one embodiment, the constraints include: element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element; the tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch; the high-temperature superconducting cable constraint comprises an alternating current power 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 economic constraint of the high-temperature superconducting cable; the node constraints comprise upper and lower limit constraints of node load, upper and lower limit constraints of generator output, upper and lower limit constraints of distributed power supply output and node voltage constraints; the power balance constraints comprise active power balance constraints and reactive power balance constraints 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 the constraint conditions and the objective function of each fault scene; the second determining unit is used for substituting the parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data.
In one embodiment, the second determination module 154 further comprises an integration unit and a third determination unit, wherein: the integration unit is used for integrating all fault scenes into one target fault scene by adopting a step-by-step hedging algorithm; and 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 condition.
For specific limitations of the deployment position determining apparatus for the hts cable, reference may be made to the above limitations of the deployment position determining method for the hts cable, which are not described herein again. The respective modules in the deployment position determining apparatus for a high temperature superconducting cable described above may be implemented in whole or in part by software, hardware, and a combination thereof. The modules can be embedded in a hardware form or independent from a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute the operations of the modules.
In one embodiment of the present application, there is provided a computer device comprising a memory and a processor, the memory having stored therein a computer program, the processor implementing the following steps when executing the computer program:
acquiring the fault probability of elements in a power distribution network under an extreme event with preset intensity and the critical length of a 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 state and the critical length of each element in each fault scene and the operation rule of the power distribution network; determining the position of a target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to fault scenes and the fault scenes; the objective function represents the amount of user load shedding when an extreme event occurs.
In one embodiment, the processor, when executing the computer program, further performs the steps of:
calculating the failure rate of the element under the extreme event according to the preset intensity and the failure rate of the element under the non-extreme event; and calculating the fault probability according to the fault rate and the time corresponding to the fault rate.
In one embodiment, the processor, when executing the computer program, further performs the steps of:
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, the processor, when executing the computer program, further performs the steps of:
generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element; and screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.
In one embodiment, the processor, when executing the computer program, further performs the steps of:
sampling a preset value 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 state and the position of each element corresponding to each random number as a corresponding candidate fault scene.
In one embodiment, the constraint condition includes: element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element; the tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch; the high-temperature superconducting cable constraint comprises an alternating current power 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 economic constraint of the high-temperature superconducting cable; the node constraints comprise upper and lower limit constraints of node load, upper and lower limit constraints of generator output, upper and lower limit constraints of distributed power supply output and node voltage constraints; the power balance constraints comprise active power balance constraints and reactive power balance constraints of the power distribution network.
In one embodiment, the processor, when executing the computer program, further performs the steps of:
determining an optimization model according to the constraint conditions and the objective function of each fault scene; substituting the parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data.
In one embodiment, the processor, when executing the computer program, further performs the steps of:
integrating all fault scenes into a target fault scene by adopting a step-by-step hedging algorithm; 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 conditions.
The implementation principle and technical effect of the computer device provided by the embodiment of the present application are similar to those of the method embodiment described above, and are not described herein again.
In an embodiment of the application, a computer-readable storage medium is provided, on which a computer program is stored, which computer program, when being executed by a processor, carries out the steps of:
acquiring the fault probability of elements in a power distribution network under an extreme event with preset intensity and the critical length of a 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 state and the critical length of each element in each fault scene and the operation rule of the power distribution network; determining the position of a target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to fault scenes and the fault scenes; the objective function represents the amount of user load shedding when an extreme event occurs.
In one embodiment, the computer program when executed by the processor further performs the steps of:
calculating the failure rate of the element under the extreme event according to the preset intensity and the failure rate of the element under the non-extreme event; and calculating the fault probability according to the fault rate and the time corresponding to the fault rate.
In one embodiment, the computer program when executed by the processor further performs the steps of:
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, the computer program when executed by the processor further performs the steps of:
generating a plurality of candidate fault scenes by adopting a Monte Carlo method and the fault probability of each element; and screening a plurality of candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.
In one embodiment, the computer program when executed by the processor further performs the steps of:
sampling a preset value 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 state and the position of each element corresponding to each random number as a corresponding candidate fault scene.
In one embodiment, the constraint condition includes: element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element; the tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch; the high-temperature superconducting cable constraint comprises an alternating current power 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 economic constraint of the high-temperature superconducting cable; the node constraints comprise upper and lower limit constraints of node load, upper and lower limit constraints of generator output, upper and lower limit constraints of distributed power supply output and node voltage constraints; the power balance constraints comprise active power balance constraints and reactive power balance constraints of the power distribution network.
In one embodiment, the computer program when executed by the processor further performs the steps of:
determining an optimization model according to the constraint conditions and the objective function of each fault scene; substituting the parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weights to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; parameters of the power distribution network include generator data, node load data, and tie switch data.
In one embodiment, the computer program when executed by the processor further performs the steps of:
integrating all fault scenes into a target fault scene by adopting a step-by-step hedging algorithm; 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 conditions.
The implementation principle and technical effect of the computer-readable storage medium provided by this embodiment are similar to those of the above-described method embodiment, and are not described herein again.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by hardware instructions of a computer program, which can be stored in a non-volatile computer-readable storage medium, and when executed, can include the processes of the embodiments of the methods described above. Any reference to memory, storage, database, or other medium used in the embodiments provided herein may include non-volatile and/or volatile memory, among others. Non-volatile 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), Rambus Direct RAM (RDRAM), direct bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).
The technical features of the above embodiments can be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the above embodiments are not described, but should be considered as the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above examples only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the claims. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the concept of the present application, which falls within the scope of protection of the present application. Therefore, the protection scope of the present patent shall be subject to the appended claims.

Claims (10)

1. A method of determining a deployment location of a high temperature superconducting cable, the method comprising:
acquiring the fault probability of elements in a power distribution network under an extreme event with preset intensity and the critical length of a 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 the fault scenes according to the states of the elements in the fault scenes, the critical length and the operation rule of the power distribution network;
determining the position of a target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the user's load shedding amount when the extreme event occurs.
2. The method of claim 1, wherein the obtaining the probability of failure of an element in the power distribution network under an extreme event of a preset intensity comprises:
calculating the failure rate of the element under the extreme event according to the preset intensity and the failure rate of the element under the non-extreme event;
and calculating the fault probability according to the fault rate and the time corresponding to the fault rate.
3. The method of any one of claims 1 or 2, wherein the obtaining the critical length of the hts cable corresponding to each component in the distribution network comprises:
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.
4. The method according to any one of claims 1 or 2, wherein said determining each fault scenario according to 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 candidate fault scenes according to the occurrence probability of each candidate fault scene to obtain the fault scene.
5. The method of claim 4, wherein generating a plurality of candidate fault scenarios using the Monte Carlo method and the fault probabilities of each of the elements comprises:
sampling a preset value 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 to obtain the state of each element;
and determining the state and the position of each element corresponding to each random number as corresponding candidate fault scenes.
6. The method according to any one of claims 1 or 2, wherein the constraints comprise: element flow constraint, interconnection switch constraint, high-temperature superconducting cable constraint, node constraint and power balance constraint; the element flow constraint comprises an alternating current power flow constraint and an element capacity limit which need to be met by an element; the tie switch constraints comprise alternating current power flow constraints and tie switch capacity limits which need to be met by the tie switch; the high-temperature superconducting cable constraints comprise alternating current power flow constraints which need to be met by the high-temperature superconducting cable, deployment budget constraints of the high-temperature superconducting cable and economic constraints of the high-temperature superconducting cable; the node constraints comprise upper and lower limit constraints of node load, upper and lower limit constraints of generator output, upper and lower limit constraints of distributed power supply output 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.
7. The method as claimed in any one of claims 1 or 2, wherein the determining the position of the target hts cable according to the preset objective function, the constraint condition corresponding to each fault scenario, and each fault scenario includes:
determining an optimization model according to the constraint conditions and the objective function of each fault scene;
substituting the parameters of the power distribution network into the optimization model, and solving the optimization model according to preset weight to obtain the weighted user load shedding amount of each fault scene and the position of the target high-temperature superconducting cable; the parameters of the power distribution network include generator data, node load data, and tie switch data.
8. The method as claimed in any one of claims 1 or 2, wherein the determining the position of the target hts cable according to the preset objective function, the constraint condition corresponding to each fault scenario, and each fault scenario includes:
integrating the fault scenes into a target fault scene by adopting a step-by-step hedging algorithm;
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 conditions.
9. A deployment position determination apparatus for a high temperature superconducting cable, characterized by comprising:
the acquisition module is used for acquiring the fault probability of the elements in the power distribution network under the extreme event of preset strength 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 the fault scenes according to the states and the critical lengths of the elements in the fault scenes and the operation rules of the power distribution network;
the second determining module is used for determining the position of the target high-temperature superconducting cable according to a preset target function, constraint conditions corresponding to each fault scene and each fault scene; the objective function represents the user's load shedding amount when the extreme event occurs.
10. A computer arrangement comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, carries out the steps of the method according to any one of claims 1 to 8.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113361106A (en) * 2021-06-07 2021-09-07 广东电网有限责任公司 Cable type selection method and system based on life cycle cost and dynamic profit-loss balance

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101233660A (en) * 2005-07-29 2008-07-30 美国超导体公司 Fault management of HTS power cable
CN110472371A (en) * 2019-09-06 2019-11-19 西安交通大学 A kind of appraisal procedure of the power system component different degree based on restoring force
CN111898284A (en) * 2020-08-21 2020-11-06 上海电力设计院有限公司 Analytic hierarchy process based urban distribution network superconducting cable application scheme comparison and selection method
CN111898877A (en) * 2020-07-13 2020-11-06 西安交通大学 Pre-disaster rush repair personnel pre-deployment method for improving power grid recovery speed

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101233660A (en) * 2005-07-29 2008-07-30 美国超导体公司 Fault management of HTS power cable
CN110472371A (en) * 2019-09-06 2019-11-19 西安交通大学 A kind of appraisal procedure of the power system component different degree based on restoring force
CN111898877A (en) * 2020-07-13 2020-11-06 西安交通大学 Pre-disaster rush repair personnel pre-deployment method for improving power grid recovery speed
CN111898284A (en) * 2020-08-21 2020-11-06 上海电力设计院有限公司 Analytic hierarchy process based urban distribution network superconducting cable application scheme comparison and selection method

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
蔡佳铭等: "量化成本和效益不确定性因素的超导电缆规划方案比选模糊期望值模型", 《电力与能源》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113361106A (en) * 2021-06-07 2021-09-07 广东电网有限责任公司 Cable type selection method and system based on life cycle cost and dynamic profit-loss balance
CN113361106B (en) * 2021-06-07 2023-03-28 广东电网有限责任公司 Cable type selection method and system based on life cycle cost and dynamic profit-loss balance

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