CN113010988B - Post-disaster optimization recovery method and system for AC/DC hybrid power distribution network - Google Patents
Post-disaster optimization recovery method and system for AC/DC hybrid power distribution network Download PDFInfo
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Abstract
The invention provides a post-disaster optimization recovery method and a post-disaster optimization recovery system for an AC/DC hybrid power distribution network, wherein the post-disaster optimization recovery method comprises the following steps: generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network; building a post-disaster load recovery model; and solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, and determining a post-disaster optimization recovery strategy. The invention provides a post-disaster optimization recovery method and system, comprising a post-disaster topological graph generation step, an optimization model establishment step and a model solving step, wherein the post-disaster topological graph establishment process fully exerts the advantage of convenient direct current circuit interconnection, and realizes the maximization connection of a power supply and a load; in the model solving step, a second order cone method is adopted for solving, so that solving precision and solving speed can be improved. Compared with the traditional alternating current power distribution network, the recovery method can realize the maximum utilization of resources, recover more key loads and reduce a large amount of economic losses.
Description
Technical Field
The invention relates to the technical field of power systems, in particular to a post-disaster optimization recovery method and system for an alternating-current and direct-current hybrid power distribution network.
Background
In recent years, the occurrence probability of extreme natural disasters and economic losses caused by power failure accidents are rapidly increased, and long-time and large-area power failure accidents have a plurality of adverse effects on economy, society and energy safety. Especially for life line loads in distribution networks, such as medical treatment, water supply, traffic, communication, etc., the loss of electricity from these critical loads would endanger the basic survival and life support of people and the social stability. Therefore, the capacity of the power distribution network for coping with extreme disasters is improved, and the power supply after critical load disasters is ensured to have great significance.
Restoring forces (restoration) can be used to evaluate the ability of the power system to prevent and accommodate extreme disaster events to withstand these disturbances and quickly recover. Related researches show that the recovery power of the power system can be improved by strengthening infrastructure before disaster, configuring distributed power supplies and energy storage in a distribution network, allocating personnel and materials and performing power restoration strategies based on the distributed power supplies from bottom to top after disaster, and the power failure time of a life line load can be effectively shortened when a large-area power failure is caused by an extreme disaster event. The post-disaster power supply recovery strategy is an important link for directly determining the power supply speed, range and duration of the recovery of critical loads such as life lines.
Traditional power restoration strategy researches mainly aim at a conventional fault scene (usually single-point fault), and load in a power-off area is transferred to adjacent feeder lines through network reconstruction to achieve power restoration. In recent years, the proposed power supply recovery strategy containing the distributed power supply and the stored energy is only the capability and constraint of supplementing the distributed power supply under the original optimization model, and cannot be directly used for rapid recovery under the scene of large-scale topology and load loss caused by extreme disaster events.
Disclosure of Invention
Aiming at the problems existing in the prior art, the embodiment of the invention provides a post-disaster optimization recovery method and system for an alternating current-direct current hybrid power distribution network.
The invention provides a post-disaster optimization recovery method of an alternating current-direct current hybrid power distribution network, which comprises the following steps: generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network; building a post-disaster load recovery model; and solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, and determining a post-disaster optimization recovery strategy.
According to the post-disaster optimization recovery method of the AC/DC hybrid power distribution network, which is provided by the invention, a post-disaster load recovery topological graph is generated according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network, and the post-disaster load recovery topological graph comprises the following steps: constructing a power supply node matrix and a direct current circuit node matrix; combining the power supply node matrix and the direct current circuit node matrix with a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network to construct a power supply and direct current circuit model; determining an optimal path of each power supply connected to a direct current circuit from the power supply and direct current circuit model based on a depth-first search algorithm so as to construct a power supply and direct current circuit topological graph; constructing a power connection path topological graph by utilizing an optimal path of each power supply connected to a direct current line, the power supply node matrix and the direct current line node matrix; determining a node matrix related to the power supply connection path topological graph, and constructing a load and direct current circuit model by combining a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network; the node matrix comprises all the nodes of the direct current circuit, the connection path and the power supply in the key load initial topological graph; and determining an optimal path of each key load connected to the power supply connection path topological graph from the load and direct current circuit model based on a depth-first search algorithm, and acquiring the post-disaster load recovery topological graph.
According to the post-disaster optimization recovery method for the AC/DC hybrid power distribution network, after the post-disaster load recovery topological graph is obtained, the method further comprises the following steps: acquiring a power supply which cannot be connected to a direct current circuit and a key load which cannot be connected to the direct current circuit; taking the path which is directly connected with the power supply which cannot be connected with the direct current line and the key load which cannot be connected with the direct current line as a supplementary recovery path; and adding the supplementary recovery path to the post-disaster load recovery topology graph.
According to the post-disaster optimization recovery method for the AC/DC hybrid power distribution network, which is provided by the invention, a post-disaster load recovery model is established, and the post-disaster optimization recovery method comprises the following steps: and constructing the post-disaster load recovery model by using the continuous supply electric quantity of the key load as an objective function of the post-disaster load recovery model and using power supply resource constraint, alternating current load flow constraint and direct current load flow constraint as constraint conditions of the post-disaster load recovery model.
According to the post-disaster optimization recovery method of the AC/DC hybrid power distribution network, which is provided by the invention, the expression of the objective function of the post-disaster load recovery model is as follows:
f is the continuous supply electric quantity of the key load; l is a set formed by key loads in the AC/DC hybrid power distribution network; l is any load in the set L; omega l The weight coefficient of the load l; e (E) l The actual recovered electric quantity for the load l; p (P) l Representing the power demand of load l, t l The recovery time for load l;
the expression of the power supply resource constraint is as follows:
P pv,t ＝μ pv P pv ；
E LAB,24 ＝0；
wherein ,Ppv,t Generating energy at t moment of the photovoltaic generator set; mu (mu) pv Is the photovoltaic output coefficient; p (P) pv The installed capacity of the photovoltaic generator set; e (E) DG The maximum electricity storage capacity of the diesel generator is obtained; e (E) DG,t Generating power for the diesel generator at the time t; e (E) LAB,24 Storing energy for the energy storage device after 24 hours;
the expression of the alternating current power flow constraint is as follows:
the set u (j) is a head end node set of a branch taking j as an end node in the alternating current-direct current hybrid power distribution network; the set v (j) is an end node set of a branch taking j as a head end node in the alternating current-direct current hybrid power distribution network; and />The alternating voltage amplitude of the node i and the node j; /> and />The three-phase alternating current active power and the alternating current reactive power at the head end of the branch ij are respectively; /> and />The net injection values of the alternating current active power and the alternating current reactive power of the node j are respectively; /> and />The resistance and reactance of branch ij; />An alternating current for branch ij; u (U) l,min and Ul,max The upper and lower limits of the voltage amplitude of the node l are respectively set; i ij,max Is the upper limit of the current amplitude;
the expression of the direct current power flow constraint is as follows:
wherein , and />The direct current voltage amplitude values of the node i and the node j; />The active power is the direct current active power of the head end of the branch ij; />The net injection value of the direct current active power of the node j; />The resistance of branch ij; />For the branch ij current; u (U) l,min And the upper and lower limits of the voltage amplitude of the node l are respectively; i ij,max Is the upper limit of the current amplitude.
According to the post-disaster optimization recovery method of the AC/DC hybrid power distribution network, before solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, the post-disaster optimization recovery method further comprises the following steps: and respectively carrying out calculation optimization on the alternating current power flow constraint and the direct current power flow constraint based on a second order cone optimization method.
According to the post-disaster optimization recovery method for the AC/DC hybrid power distribution network, provided by the invention, the post-disaster load recovery topological graph is combined, the post-disaster load recovery model is solved, and a post-disaster optimization recovery strategy is determined, which comprises the following steps: and determining an optimal path of each key load connected to a power supply which is turned off first from the post-disaster load recovery topological graph by using a CPLEX algorithm package under a Matlab-YALMIP platform so as to acquire the post-disaster optimization recovery strategy.
The invention also provides a post-disaster optimization recovery system of the AC/DC hybrid power distribution network, which comprises the following steps: the topology construction unit is used for generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target alternating current/direct current hybrid power distribution network; the model operation unit is used for establishing a post-disaster load recovery model; and the strategy making unit is used for solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph to determine a post-disaster optimization recovery strategy.
The invention also provides an electronic device, which comprises a memory, a processor and a computer program stored on the memory and capable of running on the processor, wherein the processor realizes the steps of the post-disaster optimization recovery method of the AC/DC hybrid power distribution network when executing the program.
The present invention also provides a non-transitory computer readable storage medium having stored thereon a computer program which, when executed by a processor, performs the steps of the post-disaster optimization recovery method of an ac/dc hybrid distribution network as described in any one of the above.
The post-disaster optimization recovery method and system for the AC/DC hybrid power distribution network comprise a post-disaster topological graph generation step, an optimization model establishment step and a model solving step, wherein the post-disaster topological graph establishment process fully plays the advantage of convenient interconnection of DC lines, and realizes the maximization connection of a power supply and a load; in the model solving step, a second order cone method is adopted for solving, so that solving precision and solving speed can be improved. Compared with the traditional alternating current power distribution network, the recovery method can realize the maximum utilization of resources, recover more key loads and reduce a large amount of economic losses.
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In order to more clearly illustrate the invention or the technical solutions of the prior art, the following description will briefly explain the drawings used in the embodiments or the description of the prior art, and it is obvious that the drawings in the following description are some embodiments of the invention, and other drawings can be obtained according to the drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of a post-disaster optimization recovery method of an AC/DC hybrid power distribution network provided by the invention;
FIG. 2 is a schematic topology diagram of post-disaster load recovery in the prior art;
FIG. 3 is a schematic diagram of post-disaster load recovery topology provided by the present invention;
FIG. 4 is a schematic structural diagram of a post-disaster optimization recovery system of the AC/DC hybrid power distribution network provided by the invention;
fig. 5 is a schematic structural diagram of an electronic device provided by the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
It should be noted that in the description of embodiments of the present invention, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element. The specific meaning of the above terms in the present invention can be understood by those of ordinary skill in the art according to the specific circumstances.
The power distribution network greatly improves the restoration force in extreme disaster restoration, needs to meet a strategy of multiple power supplies to multiple loads (interconnection), can physically improve the line operation capacity, and must be capable of meeting the power flow constraint and verification in the restoration process.
The direct current distribution mode is high in power supply capacity, small in voltage drop, easy to interconnect, free of radial operation limitation, free of frequency and voltage phase consideration, convenient for distributed energy access and low in line loss. Under extreme disasters, the alternating current-direct current hybrid power distribution network can utilize the advantages of a direct current circuit and the control capability of a power electronic device, so that the bottleneck existing in the traditional alternating current power distribution network recovery is broken, and the recovery range and time of the life line load after the disaster are improved.
The following describes a post-disaster optimization recovery method and system for an ac/dc hybrid power distribution network according to an embodiment of the present invention with reference to fig. 1 to 5.
Fig. 1 is a schematic flow chart of a post-disaster optimization recovery method of an ac/dc hybrid power distribution network, as shown in fig. 1, including but not limited to the following steps:
step S1: generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network;
step S2: building a post-disaster load recovery model;
step S3: and solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, and determining a post-disaster optimization recovery strategy.
Aiming at the defect that the traditional AC power distribution network is limited by operation constraint and can not fully exert the self-capacity of the power distribution network to recover the critical load after disaster, the invention provides a post-disaster optimization recovery method of an AC/DC hybrid power distribution network,
in order to fully play the advantages of the direct current circuit in post-disaster recovery, aiming at a target alternating current-direct current hybrid power distribution network comprising the direct current circuit, firstly, all 'power supply-direct current paths-key load' paths in the power distribution network are considered to be established so as to generate a post-disaster load recovery topological graph, and the direct current circuit is ensured to be utilized maximally.
Further, the conceptual curve of the restoration force of the power distribution network under the extreme disasters can be deduced, and the continuous supply electric quantity F of the key load with the importance weight is increased, so that the restoration force of the power distribution network can be obviously improved in the restoration period. Therefore, in the post-disaster optimization recovery method provided by the invention, the post-disaster load recovery model is constructed with the maximization of F as a target, so that the condition that the supply of the target AC/DC hybrid power distribution network is smaller than that of the target AC/DC hybrid power distribution network in the extreme disaster recovery period is ensured, and the load with high importance degree is recovered by using a small amount of emergency power supply resources preferentially.
And finally, determining constraint conditions of the post-disaster load recovery model according to the established post-disaster load recovery topological graph, and solving the post-disaster load recovery model to fully exert the advantage of convenient interconnection of the direct current lines and realize an optimization strategy for connecting each key load with a power supply in the power distribution network as a post-disaster optimization recovery strategy.
The post-disaster optimization recovery method of the AC/DC hybrid power distribution network comprises a post-disaster topological graph generation step, an optimization model establishment step and a model solving step, wherein the post-disaster topological graph establishment process fully plays the advantage of convenient interconnection of DC lines, and realizes the maximization connection of a power supply and a load; in the model solving step, a second order cone method is adopted for solving, so that solving precision and solving speed can be improved. Compared with the traditional alternating current power distribution network, the recovery method can realize the maximum utilization of resources, recover more key loads and reduce a large amount of economic losses.
Based on the foregoing embodiment, as an optional embodiment, the generating a post-disaster load recovery topology map according to a path of each power source connected to each critical load in the target ac/dc hybrid power distribution network includes:
constructing a power supply node matrix and a direct current circuit node matrix;
combining the power supply node matrix and the direct current circuit node matrix with a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network to construct a power supply and direct current circuit model;
determining an optimal path of each power supply connected to a direct current circuit from the power supply and direct current circuit model based on a depth-first search algorithm so as to construct a power supply and direct current circuit topological graph;
constructing a power connection path topological graph by utilizing an optimal path of each power supply connected to a direct current line, the power supply node matrix and the direct current line node matrix;
determining a node matrix related to the power supply connection path topological graph, and constructing a load and direct current circuit model by combining a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network; the node matrix comprises all the nodes of the direct current circuit, the connection path and the power supply in the key load initial topological graph;
and determining an optimal path of each key load connected to the power supply connection path topological graph from the load and direct current circuit model based on a depth-first search algorithm, and acquiring the post-disaster load recovery topological graph.
The foregoing embodiments have described that the post-disaster load recovery topology map related to the target ac/dc hybrid power distribution network is established, that is, the process of determining the path of each power source connected to each critical load in the target ac/dc hybrid power distribution network, so as to maximize the utilization of the dc lines.
First, a path (i.e., a "power-dc line" path) is established, in which each power supply is connected to a dc line, including:
and establishing a power supply node matrix containing all power supplies and a direct current circuit node matrix containing each direct current circuit, and combining the power supply node matrix and the direct current circuit node matrix with a graph theory model of a power distribution network related to the obtained target alternating current-direct current hybrid power distribution network to form a complete power supply and direct current circuit model.
Then, traversing the DC line model by a depth-first search algorithm, all paths connected to each node of the DC line by the power supply can be obtained.
And finally, according to the shortest path principle, taking the path with the minimum node number, and obtaining the path of each power supply connected to the direct current circuit, namely constructing a power supply and direct current circuit topological graph.
Further, if any of the critical load-to-dc link paths is established directly (i.e., "critical load-to-dc link"), the "critical load-to-dc link" paths may be too long (i.e., too many nodes) due to the load being far from the dc link.
In view of this, the post-disaster optimization recovery method provided by the invention considers that the formed path of the power supply-direct current line, the power supply and the direct current line together form a new topology (i.e. a power supply connection path topological diagram), and establishes a path with any key load connected to the new topology (i.e. a key load-new topology), so that the defects of overlarge loss and weakening recovery effect caused by overlong path can be avoided.
On the basis, a relevant node matrix in a power supply connection path topological graph, namely all nodes comprising direct current circuits, connection paths and power supplies, is determined, and then the node matrix and an obtained power distribution network graph theory model form a load and direct current circuit model.
And then, obtaining a path connected to the new topology by the key load through depth-first traversal search, and obtaining the path with the minimum number of nodes according to the shortest path principle, so as to obtain the optimal path connected to the new topology by each key load, namely constructing a post-disaster load recovery topological graph of the target alternating-current/direct-current hybrid power distribution network.
Fig. 2 is a schematic topology diagram of load recovery after disaster in the prior art, and fig. 3 is a schematic topology diagram of load recovery after disaster provided by the invention, wherein CL-critical load, PS-distributed power (with energy storage), MG-diesel generator, PV-photovoltaic generator set, VSC-voltage source converter. As can be seen from a comparison of fig. 2 and 3: in the post-disaster optimization recovery method of the AC/DC hybrid power distribution network, the adopted post-disaster load recovery topological graph construction method fully plays the advantage of convenient interconnection of DC lines, realizes the maximum connection of source loads, can realize the maximum utilization of resources, can recover more key loads and reduces a large amount of economic losses compared with the traditional AC power distribution network.
Based on the foregoing embodiment, as an optional embodiment, after obtaining the post-disaster load recovery topology, the method further includes: acquiring a power supply which cannot be connected to a direct current circuit and a key load which cannot be connected to the direct current circuit; taking the path which is directly connected with the power supply which cannot be connected with the direct current line and the key load which cannot be connected with the direct current line as a supplementary recovery path; and adding the supplementary recovery path to the post-disaster load recovery topology graph.
Because of the very complex topology of the distribution network, it may happen that certain power supplies and critical loads cannot be connected to the dc lines. Therefore, under the condition that a direct current line cannot be used, a construction method of a post-disaster load recovery topological graph in the existing alternating current power grid is considered to be adopted, a recovery path of a key load directly connected by a power supply is established, and then the recovery path is combined with the post-disaster load recovery topological graph constructed for the direct current power distribution network, so that a final post-disaster load recovery topological graph for the alternating current and direct current hybrid power distribution network is obtained.
Based on the foregoing embodiment, as an optional embodiment, the building a post-disaster load recovery model includes: and constructing the post-disaster load recovery model by using the continuous supply electric quantity of the key load as an objective function of the post-disaster load recovery model and using power supply resource constraint, alternating current load flow constraint and direct current load flow constraint as constraint conditions of the post-disaster load recovery model.
The conceptual curve of the restoration force of the power distribution network under extreme disasters can be deduced, the key load with importance weight is increased to continuously supply the electric quantity F, and the toughness of the power distribution network can be obviously improved in the restoration period. Therefore, the toughness improvement strategy of the distribution network aims at F maximization, and a small amount of emergency power supply resources are utilized to preferentially recover the load with high importance under the condition that the supply and demand of the distribution network are smaller than those of the distribution network in the recovery period of an extreme disaster. The objective function can be expressed as:
f is the continuous supply electric quantity of the key load; l is a set formed by key loads in the AC/DC hybrid power distribution network; l is any load in the set L; omega l Is negativeThe weight coefficient of the load l; e (E) l The actual recovered electric quantity for the load l; p (P) l Representing the power demand of load l, t l Is the recovery time of load l.
The constraint conditions of the post-disaster load recovery model constructed by the invention mainly comprise:
1) Power supply resource constraints
After an extreme disaster occurs, the total amount of power supply resources of the energy storage element, the distributed power supply and the energy storage is usually limited and cannot be timely supplemented, so that how to reasonably allocate the resources to maximally restore the load is an important link of the verification topology, and in particular:
for a photovoltaic generator set, the photovoltaic generator set should be guaranteed to be fully utilized, and then the constraint expression related to the photovoltaic generator set is as follows:
P pv,t ＝μ pv P pv equation 2
For the diesel generator, the usage amount of the diesel generator in 24 hours is ensured not to exceed the total power generation amount of the fuel, and the constraint expression related to the diesel generator is as follows:
for an energy storage device, the energy storage energy after 24 hours is guaranteed to be the minimum value (0), and the constraint expression related to the energy storage device is as follows:
E LAB,24 =0 equation 4
In the constraint expression, P pv,t Generating energy at t moment of the photovoltaic generator set; mu (mu) pv Is the photovoltaic output coefficient; p (P) pv The installed capacity of the photovoltaic generator set; e (E) DG The maximum electricity storage capacity of the diesel generator is obtained; e (E) DG,t Generating power for the diesel generator at the time t; e (E) LAB,24 The energy storage device is stored with energy after 24 hours.
2) The power flow constraint mainly comprises alternating current power flow constraint and direct current power flow constraint, wherein:
the expression of the ac power flow constraint is:
the set u (j) is a head end node set of a branch taking j as an end node in the alternating current-direct current hybrid power distribution network; the set v (j) is an end node set of a branch taking j as a head end node in the alternating current-direct current hybrid power distribution network; and />The alternating voltage amplitude of the node i and the node j; /> and />The three-phase alternating current active power and the alternating current reactive power at the head end of the branch ij are respectively; and />The net injection values of the alternating current active power and the alternating current reactive power of the node j are respectively; /> and />The resistance and reactance of branch ij; />An alternating current for branch ij; u (U) l,min and Ul,max The upper and lower limits of the voltage amplitude of the node l are respectively set; i ij,max Is the upper limit of the current amplitude;
the expression of the direct current power flow constraint is as follows:
wherein , and />The direct current voltage amplitude values of the node i and the node j; />The active power is the direct current active power of the head end of the branch ij; />The net injection value of the direct current active power of the node j; />The resistance of branch ij; />For the branch ij current; u (U) l,min And the upper and lower limits of the voltage amplitude of the node l are respectively; i ij,max Is the upper limit of the current amplitude.
Further, in the post-disaster optimization recovery method of the ac/dc hybrid power distribution network provided by the invention, the post-disaster load recovery model constructed is solved, and the method mainly comprises the following steps:
firstly, transforming an objective function of a post-disaster load recovery model:
after the extreme disaster occurs, the ac/dc hybrid power distribution network is in the condition of supply less than demand, and in the condition of a certain total energy, in order to maximize the objective function, the objective function may be converted into the problem of minimum network loss, as shown in formula 7:
max F＝ωE w -ωE loss equation 7
wherein Ew Representing the total available energy of the system, E loss The total system loss of the AC/DC hybrid power distribution network is represented, and omega represents the weight.
Because the constraint condition ensures that all energy of the AC/DC hybrid power distribution network system is used up in the recovery period, E in the system w To be a fixed value, in order to maximize the objective function, only the total system loss of the ac-dc hybrid power distribution network needs to be reduced to the minimum, i.e. the objective function may be expressed as:
min F＝ωE loss equation 8
Further, taking the second order cone optimization of the formula 6 as an example, since there are a plurality of quadratic equations in the constraint expression shown in the formula 6, direct solution is not facilitated. Therefore, in the post-disaster load recovery model solving method provided by the invention, the solving problem of the model is converted into a second order cone optimizing problem.
According to the characteristics of the second order cone model, firstly, letTo eliminate the quadratic equation in equation 6;
then, the only remaining quadratic equation in the eliminated equation is subjected to second order cone relaxation:
the formula after the relaxation treatment is subjected to further equivalent transformation to be converted into a second order cone standard form:
through the above transformation, equation 6 can be transformed into the following form:
accordingly, to perform second order cone optimization on equation 7, equation 12 can be obtained:
by transformation, the original power restoration problem under extreme disasters becomes:
according to the post-disaster optimization recovery method for the AC/DC hybrid power distribution network, the built post-disaster load recovery model is simplified by adopting a second order cone method, and the model solving precision and solving speed can be effectively improved.
Based on the foregoing embodiment, as an optional embodiment, the combining the post-disaster load recovery topology map solves the post-disaster load recovery model, and determines a post-disaster optimization recovery strategy, which specifically includes: and determining an optimal path of each key load connected to a power supply which is turned off first from the post-disaster load recovery topological graph by using a CPLEX algorithm package under a Matlab-YALMIP platform so as to acquire the post-disaster optimization recovery strategy.
Fig. 4 is a schematic structural diagram of a post-disaster optimization recovery system of an ac/dc hybrid power distribution network, as shown in fig. 4, mainly including: a topology construction unit 41, a model operation unit 42, and a policy formulation unit 43, wherein:
the topology construction unit 41 is mainly used for generating a load recovery topology graph after disaster according to the path of each power supply connected to each key load in the target ac/dc hybrid power distribution network; the model operation unit 42 is mainly used for building a post-disaster load recovery model; the policy making unit 43 is mainly configured to solve the post-disaster load recovery model in combination with the post-disaster load recovery topological graph, and determine a post-disaster optimization recovery policy.
It should be noted that, when the post-disaster optimization recovery system provided by the embodiment of the present invention is specifically executed, the post-disaster optimization recovery system may be implemented based on the post-disaster optimization recovery method described in any one of the above embodiments, which is not described in detail in this embodiment.
The post-disaster optimization recovery system provided by the invention comprises a post-disaster topological graph generation step, an optimization model establishment step and a model solving step, wherein the post-disaster topological graph establishment process fully exerts the advantage of convenient direct current circuit interconnection, and realizes the maximization connection of a power supply and a load; in the model solving step, a second order cone method is adopted for solving, so that solving precision and solving speed can be improved. Compared with the traditional alternating current power distribution network, the recovery method can realize the maximum utilization of resources, recover more key loads and reduce a large amount of economic losses.
Fig. 5 is a schematic structural diagram of an electronic device according to the present invention, and as shown in fig. 5, the electronic device may include: processor 510, communication interface 520, memory 530, and communication bus 540, wherein processor 510, communication interface 520, and memory 530 communicate with each other via communication bus 540. Processor 510 may invoke logic instructions in memory 530 to perform a post-disaster optimization restoration method for an ac-dc hybrid power distribution network, the method comprising: generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network; building a post-disaster load recovery model; and solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, and determining a post-disaster optimization recovery strategy.
Further, the logic instructions in the memory 530 described above may be implemented in the form of software functional units and may be stored in a computer-readable storage medium when sold or used as a stand-alone product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a usb disk, a removable hard disk, a Read-only memory (ROM), a random access memory (RAM, randomAccessMemory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
In another aspect, the present invention also provides a computer program product comprising a computer program stored on a non-transitory computer readable storage medium, the computer program comprising program instructions which, when executed by a computer, are capable of performing the method for post-disaster optimization recovery of an ac/dc hybrid distribution network provided by the above methods, the method comprising: generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network; building a post-disaster load recovery model; and solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, and determining a post-disaster optimization recovery strategy.
In still another aspect, the present invention further provides a non-transitory computer readable storage medium, on which a computer program is stored, which when executed by a processor, is implemented to perform the method for post-disaster optimization recovery of an ac/dc hybrid power distribution network provided in the foregoing embodiments, where the method includes: generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network; building a post-disaster load recovery model; and solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph, and determining a post-disaster optimization recovery strategy.
The apparatus embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present invention without undue burden.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims (9)
1. A post-disaster optimization recovery method of an AC/DC hybrid power distribution network is characterized by comprising the following steps:
generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target AC/DC hybrid power distribution network;
building a post-disaster load recovery model;
solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph to determine a post-disaster optimization recovery strategy;
the generating a post-disaster load recovery topological graph according to the path of each power supply connected to each key load in the target alternating current-direct current hybrid power distribution network comprises the following steps:
constructing a power supply node matrix and a direct current circuit node matrix;
combining the power supply node matrix and the direct current circuit node matrix with a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network to construct a power supply and direct current circuit model;
determining an optimal path of each power supply connected to a direct current circuit from the power supply and direct current circuit model based on a depth-first search algorithm so as to construct a power supply and direct current circuit topological graph;
constructing a power connection path topological graph by utilizing an optimal path of each power supply connected to a direct current line, the power supply node matrix and the direct current line node matrix;
determining a node matrix related to the power supply connection path topological graph, and constructing a load and direct current circuit model by combining a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network; the node matrix comprises all the nodes of the direct current circuit, the connection path and the power supply in the key load initial topological graph;
and determining an optimal path of each key load connected to the power supply connection path topological graph from the load and direct current circuit model based on a depth-first search algorithm, and acquiring the post-disaster load recovery topological graph.
2. The method for post-disaster optimal restoration of an ac/dc hybrid power distribution network according to claim 1, further comprising, after obtaining the post-disaster load restoration topology, the steps of:
acquiring a power supply which cannot be connected to a direct current circuit and a key load which cannot be connected to the direct current circuit;
taking the path which is directly connected with the power supply which cannot be connected with the direct current line and the key load which cannot be connected with the direct current line as a supplementary recovery path;
and adding the supplementary recovery path to the post-disaster load recovery topology graph.
3. The method for post-disaster optimal recovery of an ac/dc hybrid power distribution network according to claim 1, wherein the establishing a post-disaster load recovery model comprises:
and constructing the post-disaster load recovery model by using the continuous supply electric quantity of the key load as an objective function of the post-disaster load recovery model and using power supply resource constraint, alternating current load flow constraint and direct current load flow constraint as constraint conditions of the post-disaster load recovery model.
4. The post-disaster optimization recovery method of an ac/dc hybrid power distribution network according to claim 3, wherein the expression of the objective function of the post-disaster load recovery model is:
f is the continuous supply electric quantity of the key load; l is a set formed by key loads in the AC/DC hybrid power distribution network; l is any load in the set L; omega l The weight coefficient of the load l; e (E) l The actual recovered electric quantity for the load l; p (P) l Representing the power demand of load l, t l The recovery time for load l;
the expression of the power supply resource constraint is as follows:
P pv,t ＝μ pv P pv ；
E LAB,24 ＝0；
wherein ,Ppv,t Generating energy at t moment of the photovoltaic generator set; mu (mu) pv Is the photovoltaic output coefficient; p (P) pv The installed capacity of the photovoltaic generator set; e (E) DG The maximum electricity storage capacity of the diesel generator is obtained; e (E) DG,t Generating power for the diesel generator at the time t; e (E) LAB,24 Storing energy for the energy storage device after 24 hours;
the expression of the alternating current power flow constraint is as follows:
the set u (j) is a head end node set of a branch taking j as an end node in the alternating current-direct current hybrid power distribution network; the set v (j) is an end node set of a branch taking j as a head end node in the alternating current-direct current hybrid power distribution network; and />The alternating voltage amplitude of the node i and the node j; /> and />The three-phase alternating current active power and the alternating current reactive power at the head end of the branch ij are respectively; /> and />The net injection values of the alternating current active power and the alternating current reactive power of the node j are respectively; /> and />The resistance and reactance of branch ij; />An alternating current for branch ij; u (U) l,min and Ul,max The upper and lower limits of the voltage amplitude of the node l are respectively set; i ij,max Is electric powerAn upper flow magnitude limit;
the expression of the direct current power flow constraint is as follows:
wherein , and />The direct current voltage amplitude values of the node i and the node j; />The active power is the direct current active power of the head end of the branch ij; />The net injection value of the direct current active power of the node j; />The resistance of branch ij; />For the branch ij current; u (U) l,min And the upper and lower limits of the voltage amplitude of the node l are respectively; i ij,max Is the upper limit of the current amplitude.
5. The method for post-disaster optimal restoration of an ac/dc hybrid power distribution network according to claim 4, further comprising, before solving the post-disaster load restoration model in combination with the post-disaster load restoration topology, the steps of:
and respectively carrying out calculation optimization on the alternating current power flow constraint and the direct current power flow constraint based on a second order cone optimization method.
6. The method for post-disaster optimal recovery of an ac/dc hybrid power distribution network according to claim 1, wherein the method for solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph to determine a post-disaster optimal recovery strategy specifically comprises:
and determining an optimal path of each key load connected to a power supply from the post-disaster load recovery topological graph by using a CPLEX algorithm package under a Matlab-YALMIP platform so as to acquire the post-disaster optimization recovery strategy.
7. A post-disaster optimization recovery system of an AC/DC hybrid power distribution network is characterized by comprising:
the topology construction unit is used for generating a load recovery topological graph after disaster according to the path of each power supply connected to each key load in the target alternating current/direct current hybrid power distribution network;
the model operation unit is used for establishing a post-disaster load recovery model;
the strategy making unit is used for solving the post-disaster load recovery model by combining the post-disaster load recovery topological graph to determine a post-disaster optimization recovery strategy;
the topology construction unit generates a post-disaster load recovery topology graph according to paths of each power supply connected to each key load in the target alternating current/direct current hybrid power distribution network, and the topology construction unit comprises the following steps:
constructing a power supply node matrix and a direct current circuit node matrix;
combining the power supply node matrix and the direct current circuit node matrix with a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network to construct a power supply and direct current circuit model;
determining an optimal path of each power supply connected to a direct current circuit from the power supply and direct current circuit model based on a depth-first search algorithm so as to construct a power supply and direct current circuit topological graph;
constructing a power connection path topological graph by utilizing an optimal path of each power supply connected to a direct current line, the power supply node matrix and the direct current line node matrix;
determining a node matrix related to the power supply connection path topological graph, and constructing a load and direct current circuit model by combining a graph theory model of the power distribution network of the target alternating current-direct current hybrid power distribution network; the node matrix comprises all the nodes of the direct current circuit, the connection path and the power supply in the key load initial topological graph;
and determining an optimal path of each key load connected to the power supply connection path topological graph from the load and direct current circuit model based on a depth-first search algorithm, and acquiring the post-disaster load recovery topological graph.
8. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor, when executing the computer program, implements the steps of the post-disaster optimization recovery method of an ac/dc hybrid distribution network according to any one of claims 1 to 6.
9. A non-transitory computer readable storage medium having stored thereon a computer program, which when executed by a processor, implements the post-disaster optimization recovery method steps of an ac-dc hybrid power distribution network according to any one of claims 1 to 6.
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