CN117674115A - Method and system for recovering power supply load after fault of power distribution network containing distributed power supply - Google Patents

Method and system for recovering power supply load after fault of power distribution network containing distributed power supply Download PDF

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CN117674115A
CN117674115A CN202311659824.5A CN202311659824A CN117674115A CN 117674115 A CN117674115 A CN 117674115A CN 202311659824 A CN202311659824 A CN 202311659824A CN 117674115 A CN117674115 A CN 117674115A
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power supply
load
distribution network
recovery
power
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陈军
赵子涵
杨向飞
向博
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State Grid Sichuan Electric Power Co Ltd
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State Grid Sichuan Electric Power Co Ltd
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Abstract

The invention discloses a method and a system for recovering power supply load after a power distribution network fault, wherein the method comprises the following steps: acquiring various basic data of a power distribution network; acquiring fault information of the power distribution network, and determining a fault point according to the fault information; determining a priority recovery coefficient set by using a typical load time-varying demand model according to the fault moment of the fault point; determining distributed power points DG which cannot be connected to the power distribution network main network due to the fault points, and calculating total electric quantity provided by the distributed power points DG which cannot be connected to the power distribution network main network; establishing an emergency power supply recovery model, and solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy; and adopting an emergency power supply recovery strategy to correspondingly control the node load, and performing corresponding switching operation. The invention can meet the power supply requirement more quickly and to the maximum extent, and improves the reliability of power supply of the power grid.

Description

Method and system for recovering power supply load after fault of power distribution network containing distributed power supply
Technical Field
The invention relates to the technical field of fault recovery of distribution networks containing DGs, in particular to a method and a system for recovering power supply loads after a distribution network containing distributed power supplies fails.
Background
Research on renewable energy power generation technology becomes a hot problem, and the distributed power sources (DG, distributed Generation) are greatly developed due to the advantages of flexibility, economy, green and cleanliness, so that the access amount in the power distribution network is gradually increased. Whether the running state of the distribution network is stable is related to the normal use of the user, so how to effectively and rapidly repair the distribution network containing DGs after the fault and recover control after the distribution fault are one of the hot spots studied at present.
The distributed power supply is accessed into the power distribution network in a large scale, so that the power distribution system is changed into a multi-power multi-terminal power supply system from an original radial power supply network, the trend direction is greatly changed, the traditional fault power supply recovery decision is not applicable any more, and more practical problems and safety factors need to be considered.
In the prior art, the research on fault recovery strategies of the distribution network containing DGs mainly comprises classical algorithms such as heuristic search, graph theory and the like. For a large-scale system, the classical algorithm has the defects of larger calculated amount and lower efficiency, and is not applicable any more, so that the application of the intelligent algorithm in power distribution network fault recovery is gradually increased. The ant colony algorithm is utilized to optimize and improve the fault recovery model of the power distribution network. In addition, an optimal load shedding strategy meeting constraint conditions is realized by adopting a binary particle swarm algorithm. However, the ant colony algorithm, the particle swarm algorithm and the like have some weaknesses, and the results obtained by the algorithm are relatively easy to be in local optimum. On the basis, a variant particle swarm algorithm is researched and introduced into a power distribution network fault recovery strategy, so that the problem that the binary particle swarm algorithm is easy to fall into local optimum is effectively solved, but the recovery process has certain complexity.
However, the fault recovery method of the power distribution network with DGs in the prior art has the problems that the quick recovery of power supply cannot be effectively realized, the recovery time is long, the priority power supply of the node load with high demand cannot be met, the reliability of power supply of a power grid is not high, and the like.
Disclosure of Invention
The technical problem to be solved by the invention is that the power supply quick recovery can not be effectively realized, the recovery time is long, the node load with high demand can not be met for power supply preferentially, the reliability of power supply of a power grid is not high and the like in the prior art about the fault recovery method of the power distribution network containing DG.
The invention aims to provide a power supply load recovery method and a power supply load recovery system after a power distribution network fault containing a distributed power supply, wherein in the emergency recovery process, a constraint condition is formed on a node load control recovery strategy by utilizing a typical load time-varying demand model and the total power of the power distribution network, the load with low demand degree is removed preferentially, the power consumption requirement of a user is met to the greatest extent, and the power supply reliability of the power distribution network is improved. Through comprehensive analysis of calculation examples, compared with a particle swarm algorithm, the control strategy for carrying out corresponding load removal on emergency power restoration after fault restoration formed by adopting 0-1 integer programming can meet power supply requirements more quickly and furthest, improves reliability of power supply of a power grid, and has a certain engineering value for power restoration control of an actual power distribution network.
The invention is realized by the following technical scheme:
in a first aspect, the present invention provides a method for recovering a power supply load after a power distribution network including a distributed power source fails, the method comprising:
acquiring various basic data of the power distribution network, wherein the basic data comprise data such as an original topological structure, a node load type and the like;
acquiring fault information of the power distribution network, and determining a fault point according to the fault information;
determining a priority recovery coefficient set F by using a typical load time-varying demand model according to the fault moment of the fault point Rload,t
Determining distributed power points DG which cannot be connected to the power distribution network main network due to fault points, and calculating total electric quantity provided by the distributed power points DG which cannot be connected to the power distribution network main network
Based on the priority recovery coefficient set F Rload,t And distributed power point DG which fails to access the distribution network main networkIs set according to the total electric quantity of (a)Constructing an emergency power supply recovery model; solving an emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
and adopting an emergency power supply recovery strategy to correspondingly control the node load, and performing corresponding switching operation.
Further, the typical load time-varying demand model is established according to the characteristic that the primary load is guaranteed to be recovered to supply power preferentially according to priority in the power recovery process after the power distribution network fault first-aid repair is completed and the load power supply demand changes with time.
Further, the coefficient set F is recovered preferentially Rload,t The load time-varying priority coefficient of restitution in (a) is:
F i,t =C i,t ω f,i
wherein: f (F) i,t The load time-varying priority recovery coefficient corresponding to the node i is the time t; c (C) i,t Is the load time-varying demand coefficient omega at the moment t f,i Is the load class coefficient of node i.
Further, determining a distributed power point DG that fails to access the power distribution network main network due to a failure point includes:
and taking the node where the main network power point SG is located as a root node, rapidly traversing all nodes in the original topological structure of the power distribution network by adopting a breadth-first search method, and determining the distributed power point DG which cannot be accessed into the main network of the power distribution network due to the fault point.
Further, solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy, wherein the method comprises the following steps:
according to the acquired basic data of the power distribution network, determining parameters required by an emergency power supply recovery model, and initializing 0-1 integer programming parameters;
performing algorithm iteration, solving by adopting a simplex method, and searching an objective function optimal solution of an emergency power supply recovery model meeting constraint conditions to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
the node load control recovery scheme comprises node load removal and node load normal access.
Further, the constraint includes:
the first constraint condition represents power constraint of the power distribution network, wherein the power constraint of the power distribution network is that the total power of the unexpressed distributed power supply is smaller than the total load power of the cut-off node;
the second constraint condition represents node voltage constraint, wherein the node voltage constraint is that the voltage value of the node i at the time t is larger than or equal to the lower voltage limit of the node i, and the voltage value of the node i at the time t is smaller than or equal to the upper voltage limit of the node i;
the third constraint condition represents a radial operation structure constraint, wherein the radial operation structure constraint is that the current power distribution network operation structure belongs to a power distribution network radial operation topological structure set.
Further, the objective function is determined by the minimum total power-off load and the minimum switching action times, and the expression of the objective function is as follows:
min g=ω 1 g 12 g 2
wherein g is an objective function; omega 1 And omega 2 The weight factors of the power-losing load and the switching action times in the objective function are respectively represented, and the weight factors can be set according to the actual requirements of load emergency power supply recovery; omega in the present invention 1 And omega 2 The values of (2) are all set to 0.5; g 1 And g 2 Respectively representing the total power-losing load and the switching action times; g 1 Is the total power loss load;representation sectionLoad power of point i cut off at time t; x is x i,t For the load access state of node i at time t, the value of 1 indicates +.>Is resected, and when the value is 0, it indicates +.>Normally accessing without cutting; n represents a set of all nodes in the power distribution network; g 2 The number of times of switch actions; i represents the node sequence number.
Further, solving by adopting a simplex method, wherein the steps are as follows:
step A, converting an equation set corresponding to an emergency power supply recovery model into a standard type, and determining an initial feasible base and an initial basic feasible solution;
and B, if the initial basic feasible solution does not exist, proving that the constraint conditions are contradictory, and the objective function has no solution.
Step C, if the initial basic feasible solution exists, taking the initial basic feasible solution as an iteration starting point, replacing one basic variable with a non-basic variable according to the optimality condition and the feasibility condition, and then searching for another more optimal basic feasible solution corresponding to the objective function;
step D, iterating according to the step C until the corresponding check number can meet the optimality condition, and obtaining an optimal solution of the objective function;
and E, stopping iteration if the objective function value is unbounded in the process of iteration.
In a second aspect, the invention further provides a power supply load recovery system after the fault of the distribution network containing the distributed power supply, and the power supply load recovery method after the fault of the distribution network containing the distributed power supply is used by the power supply load recovery system; the system comprises:
the first acquisition unit is used for acquiring various basic data of the power distribution network, wherein the basic data comprise data such as an original topological structure and a node load type;
the second acquisition unit is used for acquiring fault information of the power distribution network and determining fault points according to the fault information;
a priority recovery coefficient determining unit for determining a priority recovery coefficient set F by using a typical load time-varying demand model according to the fault time of the fault point Rload,t
A distributed power point and power supply amount calculation unit which is not connected to the distributed power point DG of the power distribution network main network due to failure point, and calculates total power provided by the distributed power point DG which is not connected to the power distribution network main network
An emergency power supply restoration model construction unit for constructing an emergency power supply restoration model based on the priority restoration coefficient set F Rload,t And the total electric quantity provided by distributed power supply points DG which are not connected to the main network of the power distribution networkConstructing an emergency power supply recovery model;
the model solving unit is used for solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
and the control operation unit is used for correspondingly controlling the node load by adopting an emergency power supply recovery strategy and performing corresponding switching operation.
In a third aspect, the present invention further provides a computer readable storage medium, where a computer program is stored, where the computer program when executed by a processor implements the method for recovering power supply load after a power distribution network fault including a distributed power source.
Compared with the prior art, the invention has the following advantages and beneficial effects:
in order to meet the priority power supply of node loads with high demand, the invention establishes a typical time-varying load demand model, and determines an objective function with minimum total power loss load and minimum switching action times so as to obtain an emergency power supply recovery model; and obtaining an optimal load recovery scheme strategy through a 0-1 integer programming algorithm suitable for load recovery optimization. And in the load power supply control process after fault recovery, ensuring that the power distribution network safely recovers the normal running state in a short time, and dynamically adjusting an emergency load power supply recovery optimal strategy. According to the invention, based on the IEEE33 node network as an example simulation and compared with the power supply recovery strategy based on the particle swarm algorithm, the simulation result verifies that the provided algorithm can meet the power supply requirement more quickly and to the maximum extent, and the reliability of power supply of the power grid is improved.
Drawings
The accompanying drawings, which are included to provide a further understanding of embodiments of the invention and are incorporated in and constitute a part of this application, illustrate embodiments of the invention. In the drawings:
FIG. 1 is a flow chart of a method for recovering power supply load after a power distribution network containing a distributed power supply fails;
FIG. 2 is a detailed flow chart of a method for recovering power supply load after a power distribution network containing a distributed power supply fails;
FIG. 3 is a topology of an IEEE33 node power distribution network of the present invention;
fig. 4 is a block diagram of a power supply load recovery system after a power distribution network with a distributed power source fails.
Detailed Description
For the purpose of making apparent the objects, technical solutions and advantages of the present invention, the present invention will be further described in detail with reference to the following examples and the accompanying drawings, wherein the exemplary embodiments of the present invention and the descriptions thereof are for illustrating the present invention only and are not to be construed as limiting the present invention.
The distributed power supply is accessed into the power distribution network in a large scale, so that the power distribution system is changed into a multi-power multi-terminal power supply system from an original radial power supply network, the trend direction is greatly changed, the traditional fault power supply recovery decision is not applicable any more, and more practical problems and safety factors need to be considered. However, the fault recovery method of the power distribution network with DGs in the prior art has the problems that the quick recovery of power supply cannot be effectively realized, the recovery time is long, the priority power supply of node loads with high demand cannot be met, the reliability of power supply of a power grid is not high, and the like.
Therefore, the invention designs a method and a system for recovering the power supply load after the power distribution network fault, and in order to meet the priority power supply of the node load with high demand, the invention establishes a typical time-varying load demand model, and determines an objective function with the minimum total power loss load and the minimum switching action times so as to obtain an emergency power supply recovery model; and obtaining an optimal load recovery scheme strategy through a 0-1 integer programming algorithm suitable for load recovery optimization. And in the load power supply control process after fault recovery, ensuring that the power distribution network safely recovers the normal running state in a short time, and dynamically adjusting an emergency load power supply recovery optimal strategy.
Specifically, when fewer faults occur, after fault rush repair, island operation modes of the distributed power sources DG are not considered, in the emergency load power supply recovery process, power supply requirements of node loads can be changed due to time change, power supply requirement characteristics of the node loads are changed when the node loads are displayed, a typical time-varying load requirement model is deduced according to the power supply requirements, primary loads are guaranteed to be powered back preferentially according to priority, and therefore an objective function of the emergency recovery power supply model is determined, a load recovery optimization problem is converted into a 0-1 planning problem, a simplex algorithm is utilized for solving, and power distribution network load recovery control is achieved to guarantee power supply requirements.
According to the invention, based on the IEEE33 node network as an example simulation and compared with the power supply recovery strategy based on the particle swarm algorithm, the simulation result verifies that the provided algorithm can meet the power supply requirement more quickly and to the maximum extent, and the reliability of power supply of the power grid is improved.
Example 1
As shown in fig. 1, in the method for recovering power supply load after a fault of a power distribution network with a distributed power supply, when emergency power supply recovery is performed on the power distribution network after the fault occurs, firstly, the lost DG power supply amount caused by the fault in the whole power distribution network needs to be determined, after the fault is recovered, the node load of the whole power distribution network is further cut off to meet the requirement of a user as much as possible in a main network, and an emergency power supply recovery flow chart is shown in fig. 2. The method comprises the following steps:
step 1, acquiring various basic data of a power distribution network, wherein the basic data comprise data of an original topological structure, a node load type and the like;
step 2, acquiring fault information of the power distribution network, and determining fault points according to the fault information;
step 3, determining a priority recovery coefficient set F by using a typical load time-varying demand model according to the fault moment of the fault point Rload,t
Step 4, taking the node where the power source point SG of the main network is located as a root node, rapidly traversing all nodes in the original topological structure of the power distribution network by adopting a breadth-first search method, determining distributed power source points DG which cannot be connected to the main network of the power distribution network due to fault points, and calculating the total electric quantity provided by the distributed power source points DG which cannot be connected to the main network of the power distribution network
Step 5, based on the priority recovery coefficient set F Rload,t And the total electric quantity provided by distributed power supply points DG which are not connected to the main network of the power distribution networkConstructing an emergency power supply recovery model; solving an emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
the step 5 specifically comprises the following steps:
step 51, based on the priority recovery coefficient set F Rload,t And the total electric quantity provided by distributed power supply points DG which are not connected to the main network of the power distribution networkConstructing an emergency power supply recovery model;
step 52, determining parameters required by an emergency power supply recovery model according to the acquired basic data of the power distribution network, and initializing 0-1 integer programming parameters;
step 53, carrying out algorithm iteration, solving by adopting a simplex method, and searching an objective function optimal solution of an emergency power supply recovery model meeting constraint conditions to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
the node load control recovery scheme comprises node load removal and node load normal access.
And 6, adopting an emergency power supply recovery strategy to correspondingly control the node load, and performing corresponding switching operation.
The following detailed description is made for the important parts:
first, emergency power restoration model
The distributed power source DG in the distribution network can also assume part or all of the power supply capacity when the main power source is disconnected. However, because the change of environment and the change of climate conditions have larger influence on the power supply of DGs, a larger risk is added to the safe and stable operation of the island. The public power grid and the operation equipment in the island are seriously damaged due to the occurrence of the island phenomenon, and the method mainly comprises the following steps: (1) the DG grid-connected system with the island effect is in an uncontrollable state, and equipment and lines in an unscheduled island are still electrified, so that the personal safety of power grid maintenance personnel is dangerous; (2) the reclosing of the power grid, an automatic device and a protection action can be influenced; (3) if a single-phase power supply photovoltaic power generation mode is adopted, the island operation can also cause the phenomenon of unbalanced three-phase load; (4) after the power supply is restored, the voltage phase of the power grid and the voltage phase of the DG grid-connected system are possibly asynchronous due to the existence of an island, and larger switching-on impact current is possibly formed; (5) the frequency and output voltage in the island have a larger variation range due to the fact that DG capacity and load capacity are not matched, so that the electric energy quality can be reduced, and the safety of electric equipment can be possibly damaged; (6) in the power distribution island, because the intermittent power supply has a smaller time constant and lower inertia, the output voltage and frequency in the island can be changed rapidly along with external fluctuation, and even an unstable state can be generated under certain extreme conditions, so that secondary faults are formed.
Therefore, the condition of DG island operation is temporarily not considered in the power distribution network research model. After the fault occurs, a typical load time-varying demand model is introduced to ensure the electricity reliability of the distribution network, and then an emergency recovery power supply mathematical model suitable for the research situation of the invention is provided.
1.1 typical load time-varying demand model
The typical load time-varying demand model is established according to the characteristic that the load power supply demand changes with time and the priority guarantees that the primary load recovers power supply preferentially according to the priority in the power supply recovery process after the power distribution network fault rush-repair is completed. At time t, the load time-varying priority recovery coefficient corresponding to the node i is:
F i,t =C i,t ω f,i (1)
wherein: f (F) i,t The load time-varying priority recovery coefficient corresponding to the node i is the time t; c (C) i,t Is the load time-varying demand coefficient omega at the moment t f,i Is the load class coefficient of node i.
At the set parameter C i,t Omega, omega f,i By comparing sets F of preferential recovery coefficients obtained at different times Rload,t F with best practical effect can be obtained Rload,t The parameters were set as follows: omega of primary load f,i Omega of the secondary load of 1.00 f,i Omega of three-stage load of 0.10 f,i 0.01. Set C i,max C is the maximum daily requirement coefficient of the load, and is the first-level load i,t The value of (2) is taken as a constant value of 10, and other secondary and tertiary loads are obtained by using the equation of (2) according to the load demands at different moments i,t The value range is [0,10]。
Wherein: c (C) i,max The value is 10, P i,t Is the load demand of the node i at the moment t, P i,max Is the maximum load demand of node i.
In the emergency power supply recovery stage, the period F in which the fault occurs i,t The higher load will be divided into F according to a certain proportion Rload,t And this ratio will be formulated according to engineering practice needs and a preferential recovery will be taken over it during recovery. To ensure as high F as possible i,t The load and the primary load of (2) can be recovered with priority, and the proportion is usually set15% -25%.
1.2 Emergency Power recovery model
After the fault occurs, the DG grid-connected system in the original power distribution network cannot be connected to the power distribution main network due to the fault, and the island effect is not considered, so that after the fault rush repair is completed, when the recovery capacity of the system is insufficient, the node load in the power distribution network needs to be controlled necessarily, a more flexible mode can be provided for ensuring uninterrupted power supply of important loads, and the power supply quantity reduced by the distributed power supply of the main network which cannot be connected to the main network again due to the fault is matched.
The post-fault optimization algorithm of the power distribution network considering load recovery has quite important value for the emergency power supply recovery of the power distribution network, wherein the load can be interrupted. In order to analyze the problems, the loads of the nodes in the power distribution network are assumed to be interruptible loads, and a reasonable load optimal recovery strategy is utilized, so that continuous power supply of the loads with higher priority can be ensured. For an emergency power supply recovery model, the total power loss load and the switching action times are comprehensively considered by an objective function, the total power loss load is minimum, the switching action times are minimum, and the objective function is as follows:
ming=ω 1 g 12 g 2 (3)
wherein g is an objective function; omega 1 And omega 2 The weight factors of the power-losing load and the switching action times in the objective function are respectively represented, and the weight factors can be set according to the actual requirements of load emergency power supply recovery; omega in the present invention 1 And omega 2 The values of (2) are all set to 0.5; g 1 And g 2 Respectively representing the total power-losing load and the switching action times;
(1) Total power loss load
In the formula g 1 Is the total power loss load;representing load power of the node i cut off at the time t; x is x i,t For node i inLoad access state at time t, when the value of which is 1, indicates +.>Is resected, and when the value is 0, it indicates +.>Normally accessing without cutting; n represents a set of all nodes in the power distribution network;
(2) Number of switch actions
g 2 The number of times of switch actions; i represents a node sequence number; n represents a set of all nodes in the power distribution network; x is x i,t The load access state of the node i at the time t is represented by a value of 1Is resected, and when the value is 0, it indicates +.>Normal access, without excision.
1.3 constraint
The power distribution network is to restore power supply as much as possible during the period of restoring power supply, and in order to ensure that the restoration result can reach the normal power supply requirement of the power grid, the following corresponding constraint conditions are provided:
(1) The first constraint condition represents power constraint of the power distribution network, wherein the power constraint of the power distribution network is that the total power of the unexpressed distributed power supply is smaller than the total load power of the cut-off node; the expression is:
wherein,is the total power of the unexpired distributed power supply.
(2) The second constraint condition represents node voltage constraint, wherein the node voltage constraint is that the voltage value of the node i at the time t is larger than or equal to the lower voltage limit of the node i, and the voltage value of the node i at the time t is smaller than or equal to the upper voltage limit of the node i; the expression is:
U min ≤U i,t ≤U max (7)
wherein: u (U) min For the lower voltage limit of node i, U max For the upper voltage limit of node i, U i,t The voltage value of the node i at the time t.
(3) The third constraint condition represents radial operation structure constraint, wherein the radial operation structure constraint is that the current power distribution network operation structure belongs to a power distribution network radial operation topological structure set; the expression is:
l∈L (8)
wherein: l is a radial operation topological structure set of the power distribution network, and L is a current operation structure of the power distribution network.
Second, distribution network load recovery optimization algorithm
In the process of power distribution network load recovery optimization, firstly, a topology searching method is required to find nodes which are not connected into the power distribution network due to faults, DGs which cannot be connected into a main network are determined, the cut DG power supply quantity is calculated, and then power supply recovery solution of the power distribution network is carried out through a 0-1 integer programming algorithm suitable for the node load recovery optimization problem, so that an optimal scheme for guaranteeing power supply of the main network by node load cut is obtained.
2.1 topology searching method
The distribution network is mainly in a tree-shaped and radial network, and breadth-first search has the advantages of clear, accurate and comprehensive traversal of the tree diagram. The breadth-first search method specifically comprises the steps of starting from a root node, searching nodes connected with the root node, numbering the nodes connected with the root node, further searching the next layer of sub-nodes connected with the node by using the layer of nodes as vertexes, and searching each layer of nodes according to the topological structure of the power distribution network until all the nodes are traversed.
After a fault occurs, the distribution network structure is quickly traversed by using a breadth-first search method to find out all DGs which are not connected into a power grid due to the fault, and then the total power supply quantity before the fault is determined, so that parameters are provided for guaranteeing a main network power supply recovery strategy for the load control of the subsequent nodes.
2.20-1 integer programming
The linear programming of the variable by integer values is then an integer linear programming. There is a special case in integer programming-integer programming of type 0-1 by introducing a 0-1 variable x i To describe constraints, a planning problem with mutually exclusive constraints, typically for assigning selection problems, where x i Taking 1 indicates active or selected and taking 0 vice versa. The standard model is:
in the emergency power restoration model of the present invention, x i Representing the access condition of the load under the ith node, 1 represents that the load is cut off, 0 represents that the load is normally accessed, and analysis shows that the problem can be solved by using 0-1 integer linear programming, and the problem can be represented as a formula (10)
Then the emergency power restoration model expression (3) can be deduced from expression (6):
it can be found that the constraint condition is linear, and the objective function and the constraint condition of the emergency power supply recovery model are in accordance with the model of 0-1 integer linear programming, so that the model can be used for solving, and the solving process is quick and simple.
Under a set of linear constraint conditions, the problem of solving the optimal solution of the objective function is the linear programming problem. The feasible region of the linear program is the set of all solutions that meet the constraint. If a bounded feasible region, the objective function optimal solution of the linear programming problem may be optimized at the vertices of the feasible region.
2.3 simplex solution
When solving the linear programming problem, the invention adopts a simplex method, and the key of the required iteration times is the number of constraint conditions. The solution steps of the simplex method are as follows:
step A, an equation set (11) corresponding to an emergency power supply recovery model is converted into a standard type, and an initial feasible base and an initial basic feasible solution are determined;
and B, if the initial basic feasible solution does not exist, proving that the constraint conditions are contradictory, and the objective function has no solution.
Step C, if the initial basic feasible solution exists, taking the initial basic feasible solution as an iteration starting point, replacing one basic variable with a non-basic variable according to the optimality condition and the feasibility condition, and then searching for another more optimal basic feasible solution corresponding to the objective function;
step D, iterating according to the step C until the corresponding check number can meet the optimality condition, and obtaining an optimal solution of the objective function;
and E, stopping iteration if the objective function value is unbounded in the process of iteration.
In specific implementation, the embodiment takes an IEEE33 node system as an example, and compares the simulation results of the particle swarm algorithm and the 0-1 integer programming algorithm adopted by the invention to verify the advantages of the method.
In the IEEE33 node system adopted in the calculation example, a power point SG is taken as a root node, namely a node 0, and the node load level is divided as follows: the primary load nodes are 6, 12, 23 and 30, the secondary load nodes are 1, 5, 8, 14, 16, 18, 21, 22, 24, 25, 29 and 32, and the rest nodes are three-stage loads.
Since the location of the fault occurrence is unknown and random, all branches in the distribution network structure are numbered. Considering the real running state of the distribution network, the calculation example sets 1 to 3 fault points assuming that the faults can be successfully salvaged. The simulation uses MATLAB to generate fault points, DGs are accessed to positions of nodes 6, 12, 16, 23 and 30 in the topological structure of the power distribution network, and the network topological structure of the power distribution network is shown in figure 3.
After the fault is successfully salvaged, the power supply point SG supplies power for all node loads in the power distribution network, power supply and load matching of the power distribution network are guaranteed, and partial node loads are cut off through load control so as to achieve maximum power supply guarantee and supply-demand balance. The simulation results of the method and the particle swarm algorithm of the invention are shown in Table 1.
Table 1 node load control scheme example comparison
Step 8, as can be seen from the simulation results in table 1, the node loads cut off by the two schemes are three-level loads, and the balance of power supply and demand can be achieved. In case 1, when only one fault point exists, the total load cut by the method is 6.71kVA less than that of the particle swarm algorithm, and the cut nodes are 2 less than that of the particle swarm algorithm; when two faults occur, the cases 2 and 4 are the same in terms of the number of the nodes to be excised, and the 0-1 programming is less in load than the nodes to be excised by the particle swarm algorithm in the case 3. From the total amount of load excised, the 0-1 plans in cases 2 and 4 are both less than the total amount excised by the particle swarm algorithm, and the 0-1 plan in case 3 is only 1.39kVA more than the particle swarm algorithm; in case 5, there are three fault points, and the 0-1 programming is superior to the node load shedding strategy generated by the particle swarm algorithm, both in terms of the number of the load shedding nodes and the total node load shedding.
In the process of searching the optimal solution, due to lack of dynamic adjustment of speed, the coordination degree of local and global searching of particles is poor, convergence is difficult to occur and convergence precision is reduced because of the problem of being easy to be trapped in local optimization, a simplex method adopted in 0-1 integer programming searches for the minimum value rapidly and directly, the analytic nature of an objective function is not required, the method has higher convergence speed, the application range is wider, and through simulation verification analysis, the method for completing strategy solving by adopting 0-1 integer programming in the problem model is more suitable.
Network loss analysis
The network loss of the distribution network is closely related to economic benefit, and the calculation and analysis of the network loss have great practical value. Further, after the power distribution network fault is recovered, different algorithms are adopted to calculate the network loss after load shedding, and a specific calculation formula is as follows:
wherein: m is a branch set in the power distribution network; p (P) s And Q s Active power and reactive power flowing into the end node on the s-th branch respectively; u (U) s Is the voltage amplitude of the end node of the s-th branch; r is R s Is the resistance value of the s-th branch.
And finishing power flow calculation of the power distribution network by a push-forward substitution method, and further calculating network loss. Table 2 shows the network loss comparison of the method of the present invention and the simulation results of the particle swarm algorithm.
Table 2 comparison of loss of distribution network
As can be seen from table 2, in five cases in the case analysis, the network loss was smaller in the method adopted by the present invention than in the particle swarm algorithm, except for case 1. In case 1, the network loss of the method of the present invention is also relatively close to that of the particle swarm algorithm, and is within an allowable network loss range. Therefore, in case analysis, when two or more faults occur, the 0-1 design algorithm has smaller network loss, and the actual economic benefit of the power distribution network can be further ensured.
(II) runtime analysis
The run times of the present invention from simulation experiments to compare the two are shown in table 3.
TABLE 3 simulation time comparison of different examples
As can be seen from the above table 3, the 0-1 programming running time adopted in the invention is smaller than the particle swarm algorithm under different fault conditions, and in the actual operation, compared with the particle swarm algorithm, the method is more convenient and rapid, and the scheme capable of solving the problem more rapidly is more applicable to the problem of emergency power supply recovery of the distribution network containing DG.
According to the invention, a power supply emergency recovery optimization method is established for the power distribution network containing the DG after the fault is first-aid repaired, in the emergency recovery process, a constraint condition is formed for a node load control recovery strategy by using a typical load time-varying demand model and the total power of the power distribution network, the load with low demand is preferably removed, the power consumption requirement of a user is met to the greatest extent, and the power supply reliability of the power distribution network is improved.
Through the comprehensive analysis of calculation examples, the control strategy for carrying out corresponding load removal on the emergency power restoration after fault restoration formed by adopting the 0-1 integer programming has the advantage of being more rapid and effective compared with a particle swarm algorithm, and has a certain engineering value on the power restoration control of an actual power distribution network.
Example 2
As shown in fig. 4, the difference between the present embodiment and embodiment 1 is that the present embodiment further provides a power supply load recovery system after a failure of the power distribution network including the distributed power supply, and the power supply load recovery method after a failure of the power distribution network including the distributed power supply is used in the system; the system comprises:
the first acquisition unit is used for acquiring various basic data of the power distribution network, wherein the basic data comprise data such as an original topological structure and a node load type;
the second acquisition unit is used for acquiring fault information of the power distribution network and determining fault points according to the fault information;
the priority recovery coefficient determining unit is used for determining a priority recovery coefficient set by using a typical load time-varying demand model according to the fault moment of the fault point;
the distributed power point and power supply quantity calculation unit is used for determining distributed power points DG which cannot be connected to the power distribution network main network due to the fault point and calculating total electric quantity provided by the distributed power points DG which cannot be connected to the power distribution network main network;
the emergency power supply recovery model building unit is used for building an emergency power supply recovery model based on the priority recovery coefficient set and the total electric quantity provided by the distributed power source points DG which cannot be accessed to the power distribution network main network;
the model solving unit is used for solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
and the control operation unit is used for correspondingly controlling the node load by adopting an emergency power supply recovery strategy and performing corresponding switching operation.
The execution process of each unit is performed according to the steps of the power supply load recovery method after the failure of the distribution network with distributed power supply in embodiment 1, and the details of this embodiment are not repeated.
Meanwhile, the invention also provides a computer readable storage medium, wherein the computer readable storage medium stores a computer program, and the computer program is executed by a processor to realize the power supply load recovery method after the power distribution network containing the distributed power supply fails.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The foregoing description of the embodiments has been provided for the purpose of illustrating the general principles of the invention, and is not meant to limit the scope of the invention, but to limit the invention to the particular embodiments, and any modifications, equivalents, improvements, etc. that fall within the spirit and principles of the invention are intended to be included within the scope of the invention.

Claims (10)

1. The method for recovering the power supply load after the power distribution network fault comprises the following steps:
acquiring various basic data of a power distribution network, wherein the basic data comprise original topological structure and node load type data;
acquiring fault information of the power distribution network, and determining a fault point according to the fault information;
determining a priority recovery coefficient set by using a typical load time-varying demand model according to the fault moment of the fault point;
determining a distributed power point DG which cannot be connected to a main network of the power distribution network due to the fault point, and calculating total electric quantity provided by the distributed power point DG which cannot be connected to the main network of the power distribution network;
an emergency power supply recovery model is built based on the priority recovery coefficient set and the total electric quantity provided by the distributed power source point DG which is not connected to the main network of the power distribution network; solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
and adopting the emergency power supply recovery strategy to correspondingly control the node load, and performing corresponding switching operation.
2. The method for recovering power supply load after power distribution network faults with distributed power supplies according to claim 1, wherein the typical load time-varying demand model is established according to the characteristic that load power supply demands change with time in the power recovery process after power distribution network faults are repaired.
3. The method for recovering power supply load after a failure of a power distribution network including a distributed power source according to claim 1, wherein said set of priority recovery coefficients F Rload,t The load time-varying priority coefficient of restitution in (a) is:
F i,t =C i,t ω f,i
wherein: f (F) i,t The load time-varying priority recovery coefficient corresponding to the node i is the time t; c (C) i,t Is the load time-varying demand coefficient omega at the moment t f,i Is the load class coefficient of node i.
4. The method for recovering a power supply load after a failure of a power distribution network including a distributed power supply according to claim 1, wherein determining a distributed power supply point DG that fails to access a main network of the power distribution network due to said failure point comprises:
and traversing all nodes in an original topological structure of the power distribution network by taking a node where a main network power point SG is positioned as a root node and adopting a breadth-first search method to determine distributed power points DG which cannot be accessed into the main network of the power distribution network due to the fault point.
5. The method for recovering power supply load after a fault of a power distribution network containing a distributed power supply according to claim 1, wherein the method for solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy comprises the following steps:
according to the acquired basic data of the power distribution network, determining parameters required by an emergency power supply recovery model, and initializing 0-1 integer programming parameters;
performing algorithm iteration, solving by adopting a simplex method, and searching an optimal solution of an objective function of the emergency power supply recovery model which meets constraint conditions to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
the node load control recovery scheme comprises node load removal and node load normal access.
6. The method for recovering a power supply load after a failure of a power distribution network including a distributed power supply according to claim 5, wherein said constraint condition includes:
the first constraint condition represents a power distribution network power constraint, wherein the power distribution network power constraint is that the total power of an unexpressed distributed power supply is smaller than the total load power of a cut-off node;
the second constraint condition represents node voltage constraint, wherein the node voltage constraint is that the voltage value of a node i at a time t is larger than or equal to the lower voltage limit of the node i, and the voltage value of the node i at the time t is smaller than or equal to the upper voltage limit of the node i;
the third constraint condition represents a radial operation structure constraint, wherein the radial operation structure constraint is that the current power distribution network operation structure belongs to a power distribution network radial operation topological structure set.
7. The method for recovering power supply load after a fault in a power distribution network including a distributed power supply according to claim 5, wherein said objective function is determined with minimum total power loss load and minimum switching operation times, and said objective function has the expression:
min g=ω 1 g 12 g 2
wherein g is an objective function; omega 1 And omega 2 The weight factors of the power-losing load and the switching action times in the objective function are respectively represented, and the weight factors are set according to the actual requirements of load emergency power supply recovery; g 1 And g 2 Respectively representing the total power-losing load and the switching action times; g 1 Is the total power loss load;representing load power of the node i cut off at the time t; x is x i,t For the load access state of node i at time t, the value of 1 indicates +.>Is resected, and when the value is 0, it indicates +.>Normally accessing without cutting; n represents a set of all nodes in the power distribution network; g 2 The number of times of switch actions; i represents the node sequence number.
8. The method for recovering power supply load after fault of power distribution network containing distributed power supply according to claim 5, wherein the method is solved by adopting a simplex method, and comprises the following steps:
step A, converting an equation set corresponding to the emergency power supply recovery model into a standard type, and determining an initial feasible base and an initial basic feasible solution;
and B, if the initial basic feasible solution does not exist, proving that the constraint conditions are contradictory, and the objective function is free of solution.
Step C, if the initial basic feasible solution exists, taking the initial basic feasible solution as an iteration starting point, replacing one basic variable with a non-basic variable according to an optimality condition and a feasibility condition, and then searching for another more optimal basic feasible solution corresponding to the objective function;
step D, iterating according to the step C until the corresponding check number can meet the optimality condition, and obtaining an optimal solution of the objective function;
and E, stopping iteration if the objective function value is unbounded in the process of iteration.
9. A power supply load recovery system after a fault of a power distribution network comprising a distributed power source, wherein the system uses the power supply load recovery method after a fault of a power distribution network comprising a distributed power source according to any one of claims 1 to 8; the system comprises:
the first acquisition unit is used for acquiring various basic data of the power distribution network, wherein the basic data comprise an original topological structure and node load type data;
the second acquisition unit is used for acquiring fault information of the power distribution network and determining fault points according to the fault information;
the priority recovery coefficient determining unit is used for determining a priority recovery coefficient set by using a typical load time-varying demand model according to the fault moment of the fault point;
the distributed power point and power supply quantity calculation unit is used for determining distributed power points DG which are not connected to the main network of the power distribution network due to the fault point and calculating the total power provided by the distributed power points DG which are not connected to the main network of the power distribution network;
the emergency power supply recovery model building unit is used for building an emergency power supply recovery model based on the priority recovery coefficient set and the total electric quantity provided by the distributed power source points DG which are not connected to the power distribution network main network;
the model solving unit is used for solving the emergency power supply recovery model by adopting a 0-1 integer programming algorithm to obtain a node load control recovery scheme as an emergency power supply recovery strategy;
and the control operation unit is used for correspondingly controlling the node load by adopting the emergency power supply recovery strategy and performing corresponding switching operation.
10. A computer readable storage medium storing a computer program, wherein the computer program when executed by a processor implements the method for recovering power supply load after a failure of a power distribution network comprising a distributed power supply according to any one of claims 1 to 8.
CN202311659824.5A 2023-12-05 2023-12-05 Method and system for recovering power supply load after fault of power distribution network containing distributed power supply Pending CN117674115A (en)

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