A PMU Optimal Configuration Method for Distribution Network Considering N-1 Fault Reconfiguration
By calculating voltage loss and setting up observation reliability indicators, an optimization configuration model is established, which solves the problem of unreliable distribution network monitoring under N-1 fault reconstruction in the existing technology, realizes economical and efficient PMU configuration, and is suitable for practical application in distribution networks.
Patent Information
- Application Number
- CN202510704038.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-05-29
- Publication Date
- 2025-09-16
- Estimated Expiration
- 2045-05-29
AI Technical Summary
The existing distribution network PMU optimization configuration method fails to effectively consider the impact of N-1 fault reconstruction on the topology structure, resulting in unreliable monitoring under N-1 fault and insufficient economy.
By calculating the voltage loss after fault reconstruction, setting up the observation reliability index, and establishing the optimization configuration model, the integer programming method is used to consider the economy, the observability of the entire network, and the monitoring reliability under N-1 fault reconstruction, and the introduction of zero injection nodes to optimize the PMU configuration.
It achieves reliable monitoring of the distribution network under N-1 fault reconstruction, reduces the number of PMUs, improves economy, and is suitable for real distribution scenarios.
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Figure CN120262466B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of power systems, and in particular to a method for optimizing PMU configuration of a distribution network under N-1 fault reconstruction considerations. Background Art
[0002] Failures in the distribution network directly affect social production and the daily power supply of residents. When a fault occurs, in order to improve the reliability of power supply, the load needs to be transferred, and the topology of the network changes. This situation is called N-1 fault reconstruction. When the distribution network topology changes, the original protection setting is no longer applicable. The original optimization configuration scheme based on normal conditions cannot be applied to the N-1 situation. In order to ensure the safe and reliable operation of the distribution network, the distribution network synchronized measurement unit (PMU) is increasingly used in the power grid, providing conditions for online monitoring of the distribution network. Therefore, it is of great significance to use the measurement information of the PMU to provide a data basis for the protection setting calculation.
[0003] Currently, the optimal PMU placement problem, also known as the OPP (optimal PMU placement) problem, primarily targets minimum economic efficiency and network-wide observability as a constraint. Additional constraints are then added to meet various application requirements. For example, while ensuring observability, the impact of zero-injection nodes is taken into account to reduce the number of PMUs configured. Alternatively, an optimal placement model is established by considering the system's observable redundancy and maximizing it during configuration. Some PMU placement methods also consider multiple topologies, seeking an optimal PMU placement that is observable under two common topologies. Current PMU placement solutions for N-1 line failures ensure that the system remains observable even under N-1 line failures. However, when an N-1 line failure occurs, it is often accompanied by a topology reconfiguration under N-1 failures. Current optimal PMU placement methods for distribution networks do not consider the impact of N-1 failure reconfiguration. Summary of the Invention
[0004] The purpose of the present invention is to provide a distribution network PMU optimization configuration method considering N-1 fault reconstruction, to achieve the optimal configuration scheme of the three coordinations of reliability, full network observability under normal conditions and meeting the observation reliability under N-1.
[0005] To achieve the above objectives, the present invention provides a method for optimizing the configuration of PMUs in a distribution network under N-1 fault reconstruction, comprising the following steps:
[0006] S1. Calculate the node vulnerability by calculating the voltage loss after fault reconstruction;
[0007] S2. Considering the topology change under N-1 fault reconstruction, different topologies under line N-1 fault reconstruction are obtained through distribution network reconstruction. An observation reliability index is established to ensure that observation capability is maintained when the topology changes.
[0008] S3. With economy and monitoring reliability as the goals, and with the observable voltage of the entire network under normal operating conditions and the observation reliability under N-1 conditions as constraints, and taking zero injection nodes into account, an optimization configuration model is established;
[0009] S4. Use integer programming method to solve the optimal configuration model.
[0010] Preferably, in S1, the process of calculating the node vulnerability level includes the following steps:
[0011] S11, calculation circuit s Probability of disconnection;
[0012] S12, Line s After N-1 fault occurs, the line s Probability of disconnection, calculation node vulnerability;
[0013] S13. Calculate the voltage vulnerability of each line when it is disconnected, and The node vulnerability under fault reconstruction is normalized.
[0014] Preferably, in said S11, the line s The probability of disconnection is:
[0015] ;
[0016] Where, is the total number of lines in the system, For the line The probability of disconnection, For the line reliability, For the line reliability;
[0017] in, Determined by line failure rate and repair rate:
[0018] ;
[0019] Where, For the line s The failure rate, For the line s Repair rate;
[0020] In S12, the node The vulnerability is:
[0021] ;
[0022] Where, Node after network reconstruction i The voltage value, For the line Reconstructing the next node after a failure The vulnerability of is the number of nodes in the distribution network;
[0023] In S13, the node vulnerability degree is normalized as follows:
[0024] ;
[0025] Where, for The normalized value of .
[0026] Preferably, in S2, the specific process of obtaining different topological structures under line N-1 fault reconstruction by distribution network reconstruction includes:
[0027] S21. When the distribution network includes distributed photovoltaics, islanding is performed. First, the loads are weighted according to different levels. When performing islanding, electrical distance is considered and power balance constraints and transmission power security constraints are satisfied to obtain an islanding model.
[0028] S22. When restoring and reconstructing the distribution network outside the island, node voltage constraints and transmission power constraints are met, and an island partition optimization model is established; the reconstructed distribution network is a radial network without any loops.
[0029] Preferably, in S21, the island division model is:
[0030] ;
[0031] Where, is the objective function, For nodes The load power on is a node The weight coefficient of the load on is the total number of nodes without power after the fault, D ei For the load in the island Electrical distance to the island, is the number of isolated islands, j is the variable used to traverse the number of islands;
[0032] The power balance constraint is:
[0033] ;
[0034] Where, P DG is the DG power generation in the island, P’ is the active power loss in the island; d 1 is the total number of load nodes in the island;
[0035] The transmission power safety constraint is:
[0036] ;
[0037] Where, is the maximum voltage allowed at node i, For nodes The minimum voltage allowed, For nodes The voltage, For branch Maximum current allowed, For branch of current.
[0038] Preferably, in S22, the island partition optimization model is:
[0039] ;
[0040] Where, 、 are the weight coefficients of the two objective functions, is the active power loss when no reconstruction is performed, is the active power loss, The number of switching operations required to reconfigure the distribution network is is the number of switch actions;
[0041] The node voltage constraints are:
[0042] ;
[0043] The transmission power constraint is:
[0044] ;
[0045] Where, For nodes The maximum limit of power flow, For nodes power, For nodes Maximum allowed voltage; For nodes Minimum allowed voltage.
[0046] Preferably, in S3, the specific process of establishing the optimization configuration model is:
[0047] S31, the optimal configuration of PMU is to achieve network-wide observability while meeting economic efficiency, and establish an optimization model;
[0048] S32, considering N-1 fault reconstruction, in order to improve the reliability of distribution network monitoring, set N-1 observation reliability constraints and establish the objective function;
[0049] S33. Introduce zero injection nodes, modify the constraints of the entire network, and obtain the optimized configuration model.
[0050] Preferably, in S31, the optimization model is:
[0051] ;
[0052] The constraints for the grid voltage to be considerable under normal operating conditions are:
[0053] ;
[0054] in,
[0055] ;
[0056] ;
[0057] Where, Indicates that the node Configure the PMU. Indicates that the node Do not configure PMU. N is the number of nodes in the power distribution system, is the node association matrix of the distribution system A The elements in =1 indicates a node With node j connected, =0 indicates a node With node Not connected; when = j hour, =1.
[0058] Preferably, in S32, the objective function is:
[0059] ;
[0060] ;
[0061] In the formula, the first term of the objective function is the cost of PMU configuration, and the second term is the reliability of system monitoring. y is the observed variable, Indicates line s Reconstructing nodes under N-1 failure considerable; Indicates line s Reconstructing nodes under N-1 failure Not watchable;
[0062] The observation reliability constraints considering fault reconstruction are:
[0063] ;
[0064] ;
[0065] Where, for B s The elements in B s For the line s The node association matrix formed after fault reconstruction, Indicates line s Reconstructing the next node after a failure and nodes j the relationship between Indicates line s Reconstruct the next node when a failure occurs With node j connected, or = j ; Indicates line s Reconstruct the next node when a failure occurs With node j Not connected; Monitor reliability under N-1.
[0066] Preferably, in S33, the constraint condition for the overall network voltage to be considerable is modified to:
[0067] ;
[0068] Where: o j is a 0-1 variable, o j =1 indicates a node is a zero injection node, o j =0 indicates a node Non-zero injection node; A binary variable describing the role played by the zero injection node, =1 means zero injection node For nodes Considerable contribution is calculated once, =0 means zero injection node Not a node Calculation of substantial contribution;
[0069] The optimized configuration model is:
[0070] .
[0071] The advantages and positive effects of the PMU optimization configuration method under N-1 fault reconstruction considered described in the present invention are: the present invention adopts the above-mentioned PMU optimization configuration method under N-1 fault reconstruction, considers the voltage loss after the node reconstruction, establishes a unified optimization configuration model that considers economy, full network observability under normal conditions, observation reliability under N-1 fault reconstruction and takes into account zero injection nodes, and obtains a configuration scheme using integer programming method, which can be applied to real power distribution scenarios; compared with the traditional configuration method considering N-1, the economic effect is better.
[0072] The technical solution of the present invention is further described in detail below through the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS
[0073] Figure 1 A flow chart of the distribution network PMU monitoring optimization configuration according to an embodiment of the present invention;
[0074] Figure 2 This is a flowchart of N-1 distribution network topology reconstruction according to an embodiment of the present invention;
[0075] Figure 3 This is the actual wiring diagram of the power distribution system of the present invention;
[0076] Figure 4 The vulnerability of nodes under different fault reconstruction conditions;
[0077] Figure 5 To compare the PMU monitoring optimization configuration scheme obtained by the present invention with the traditional PMU optimization configuration scheme, (a) is the traditional method and (b) is the method of the present invention. DETAILED DESCRIPTION
[0078] In this application, unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by those skilled in the art to which this application belongs. In the event of any inconsistency, the meaning described in this specification or the meaning derived from the contents recorded in this specification shall prevail. In addition, the terms used herein are only for the purpose of describing the embodiments of this application and are not intended to limit this application.
[0079] The embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
[0080] like Figure 1 A method for optimizing the configuration of PMUs in a distribution network under N-1 fault reconstruction is shown in FIG. The method includes the following steps:
[0081] S1. Calculate the node vulnerability by calculating the voltage loss after fault reconstruction.
[0082] The calculation process of node vulnerability includes the following steps:
[0083] S11, calculation circuit s Probability of disconnection.
[0084] line s The probability of disconnection is:
[0085] ;
[0086] Where, is the total number of lines in the system, For the line The probability of disconnection; For the line reliability, For the line reliability;
[0087] in, Determined by line failure rate and repair rate:
[0088] ;
[0089] Where, For the line s The failure rate, For the line s repair rate.
[0090] S12, Line s After N-1 fault occurs, the line s Probability of disconnection, calculation node vulnerability.
[0091] node The vulnerability is:
[0092] ;
[0093] Where, Node after network reconstruction The voltage value, For the line Reconstructing the next node after a failure The vulnerability of is the number of nodes in the distribution network.
[0094] S13. Calculate the voltage vulnerability of each line when it is disconnected, and The node vulnerability under fault reconstruction is normalized.
[0095] The normalized node vulnerability level is:
[0096] ;
[0097] Where, for The normalized value of .
[0098] S2. Considering the topology change under N-1 fault reconstruction, different topologies under line N-1 fault reconstruction are obtained through distribution network reconstruction. An observation reliability index is established to ensure that observation capability is maintained when the topology changes.
[0099] like Figure 2 The specific process of obtaining different topological structures under line N-1 fault reconstruction through distribution network reconstruction includes:
[0100] S21. When the distribution network contains distributed photovoltaic (DG), it can provide a certain degree of power supply reliability.
[0101] To divide the islands, first divide the loads into different weights according to different levels. The load weight model after the level division is:
[0102] ;
[0103] Where, Representation node The load power on is a node The weight coefficient of the load on is the total number of nodes without power after the fault.
[0104] When dividing islands, nodes that are electrically close to the islands also need to be divided into islands. Therefore, the island division model considering the influence of electrical distance is as follows:
[0105] ;
[0106] Where, is the objective function, For the load in the island Electrical distance to the island, is the number of isolated islands, j is a variable used to traverse the number of islands.
[0107] When dividing islands, the power balance constraint must be met, that is, the DG power generation in the island must be greater than the load in the island:
[0108] ;
[0109] Where, P DG is the DG power generation in the island, P’ is the active power loss in the island; d 1 is the total number of load nodes in the island.
[0110] In addition, the transmission power safety constraints need to be met:
[0111] ;
[0112] Where, For nodes The maximum voltage allowed, For nodes The minimum voltage allowed, For nodes The voltage, For branch Maximum current allowed, For branch of current.
[0113] S22. When restoring the distribution network outside the island, an island partition optimization model is established with the goal of minimizing active power loss and minimizing the number of switching times.
[0114] By assigning different weights to two more objective functions, they are transformed into a single objective function.
[0115] The island partition optimization model is:
[0116] ;
[0117] Where, 、 are the weight coefficients of the two objective functions, is the active power loss when no reconstruction is performed, is the active power loss, The number of switching operations required to reconfigure the distribution network is is the number of switch actions;
[0118] The node voltage constraints that need to be met during reconstruction are:
[0119] ;
[0120] The transmission power constraint is:
[0121] ;
[0122] Where, For nodes The maximum limit of power flow, For nodes power, For nodes Maximum allowed voltage; For nodes Minimum allowed voltage.
[0123] In addition, it is also required that the reconstructed distribution network remains a radial network without any loops.
[0124] S3. With the goal of minimizing economy and configuring monitors on nodes with large node weights, an optimal configuration model is established with the constraints of the observable voltage of the entire network under normal operating conditions and the observation reliability under N-1 reconstruction, and taking into account zero injection nodes.
[0125] The specific process of establishing the optimization configuration model is as follows:
[0126] The optimal configuration of S31 and PMU achieves network-wide compatibility while meeting the economical optimum. This is equivalent to a linear optimization problem. The optimization model is established as follows:
[0127] ;
[0128] The constraints for the grid voltage to be considerable under normal operating conditions are:
[0129] ;
[0130] in,
[0131] ;
[0132] ;
[0133] Where, Indicates that the node Configure the PMU. Indicates that the node Do not configure PMU. N is the number of nodes in the power distribution system, is the node association matrix of the distribution system A The elements in =1 indicates a node With node j connected, =0 indicates a node With node Not connected; when = j hour, =1.
[0134] S32. Considering N-1 fault reconstruction, in order to maximize the reliability of distribution network monitoring, N-1 observation reliability constraints are set and the objective function is established.
[0135] The objective function is:
[0136] ;
[0137] ;
[0138] In the formula, the first term of the objective function is the cost of PMU configuration, and the second term is the reliability of system monitoring. y is the observed variable, Indicates line s Reconstructing nodes under N-1 failure i considerable; Indicates line s Reconstructing nodes under N-1 failure Not worth watching.
[0139] Since all nodes after the reconstruction of all lines with N-1 faults are observable, a large number of monitoring points are required, so a monitoring reliability under N-1 is introduced to meet the observability of different application requirements of the distribution network. R w The monitoring reliability under reaction N-1 is higher R w The value can make more nodes observable when multiple N-1 occur in the system; when the R w When the value is , the reliability of distribution network monitoring decreases and the ability to cope with N-1 is weakened.
[0140] After the fault is reconfigured, the topology of the distribution network changes. s The node-node association matrix formed after fault reconstruction is B s In summary, the N-1 observation reliability constraint is:
[0141] ;
[0142] ;
[0143] Where, for B s The elements in B s For the line s The node association matrix formed after fault reconstruction, Indicates lines Reconstructing the next node after a failure and nodes j the relationship between Indicates line s Reconstruct the next node when a failure occurs With node j connected, or = j ; Indicates line s Reconstruct the next node when a failure occurs With node j Not connected; Monitor reliability under N-1.
[0144] S33. Introduce zero injection nodes, modify the constraints of the entire network, and obtain the optimized configuration model.
[0145] A zero-injection node is a node in the distribution network that has no generators or loads and serves only as a connection within the grid. The introduction of a zero-injection node can reduce the number of nodes required for configuration and improve efficiency.
[0146] In a zero-injection node system, when all nodes except one are observable, the node can be made observable through KCL calculation. After considering the zero-injection node, by introducing the binary variable To describe the role played by the zero injection node, =1 means zero injection node For nodes Considerable contribution is calculated once, =0 means zero injection node Not a node The calculation of the considerable contribution can be modified based on the constraint that the voltage of the entire network is considerable as follows:
[0147] ;
[0148] Where: o j is a 0-1 variable, o j =1 indicates a node is a zero injection node, o j =0 indicates a node Non-zero injection node; A binary variable describing the role played by the zero injection node, =1 means zero injection node For nodes Considerable contribution is calculated once, =0 means zero injection node Not a node Calculation of substantial contribution.
[0149] The optimized configuration model is:
[0150] .
[0151] S4. Use the existing commercial software "Cplex" to solve and obtain the optimal PMU configuration solution.
[0152] To facilitate understanding, a simulation test of the method of the present invention is performed in combination with a specific scenario.
[0153] The system voltage is 12.66kV. Node 1 is set as the balance node, and its reference voltage is 1.05pu. The distribution system has 69 nodes, 68 lines, and 5 photovoltaic grid-connected points. Distributed photovoltaics are connected at nodes 19, 32, 41, 48, and 62. Figure 3 First, calculate the vulnerability of each node and set up different N -1 fault scenario, where the node voltage loss under 5 fault reconstruction scenarios is calculated as follows Figure 4 As shown in Table 1. Scenario 1: Fault 17-18; Scenario 2: Fault 2-19; Scenario 3: Fault 19-20; Scenario 4: Fault 21-22; Scenario 5: Fault 23-24. We then set different fault reconstruction observation reliabilities and used Cplex to obtain configuration solutions under different observation reliabilities, as shown in Table 1.
[0154] Table 1 Configuration schemes under different observation reliability
[0155] ;
[0156] Finally, in order to verify the superiority of the optimization configuration scheme of the present invention, the monitoring optimization configuration scheme of the present invention is compared with the traditional optimization configuration scheme. It can not only meet the full network stability under N-1 fault reconstruction, but also has more economic advantages than the traditional N-1 disconnection. The specific configuration results are as follows: Figure 5 The number of traditional N-1 disconnection configurations is 38, as shown in Figure 5 (a). When the method of the present invention is used to achieve a good fault reconstruction ( R w=1), a total of 34 devices are required, such as Figure 5 (b)
[0157] Therefore, the present invention adopts the above-mentioned PMU optimization configuration method under consideration of N-1 fault reconstruction, and considers the voltage loss after node reconstruction, establishes a unified optimization configuration model that considers economy, observability of the entire network under normal conditions, observation reliability under N-1 fault reconstruction, and takes into account zero injection nodes, and obtains the configuration scheme using integer programming. In the distribution network, since the occurrence of line N-1 fault is accompanied by fault reconstruction, the configuration method considered in this paper under N-1 fault reconstruction can be applied to real distribution scenarios. By making the N-1 fault reconstruction observable in this paper R w Compared with the traditional configuration method considering N-1, the optimized configuration scheme with N=1 has better economic effect.
[0158] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention rather than to limit the same. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that they can still modify or replace the technical solutions of the present invention with equivalents, and these modifications or equivalent replacements cannot cause the modified technical solutions to deviate from the spirit and scope of the technical solutions of the present invention.
Claims
1. A method for optimizing the configuration of PMUs in a distribution network considering N-1 fault reconstruction, characterized in that: The following steps are involved: S1. Calculate the node vulnerability by calculating the voltage loss after fault reconstruction; S2. Considering the topology change under N-1 fault reconstruction, different topologies under line N-1 fault reconstruction are obtained through distribution network reconstruction. An observation reliability index is established to ensure that observation capability is maintained when the topology changes. S3. With economy and monitoring reliability as the goals, and with the observable voltage of the entire network under normal operating conditions and the observation reliability under N-1 conditions as constraints, and taking zero injection nodes into account, an optimization configuration model is established; S4. Solve the optimization configuration model using integer programming method; In S2, the specific process of obtaining different topological structures under line N-1 fault reconstruction by distribution network reconstruction includes: S21. When the distribution network includes distributed photovoltaics, islanding is performed. First, the loads are weighted according to different levels. When performing islanding, electrical distance is considered and power balance constraints and transmission power security constraints are satisfied to obtain an islanding model. S22. When restoring the distribution network outside the island, node voltage constraints and transmission power constraints are satisfied, and an island partition optimization model is established; the reconstructed distribution network is a radial network without loops; In S21, the island partition model is: ; Where, is the objective function, For nodes The load power on is a node The weight coefficient of the load on is the total number of nodes without power after the fault, For the load in the island Electrical distance to the island, is the number of isolated islands, is the variable used to traverse the number of islands; The power balance constraint is: ; Where, is the DG power generation in the island, is the active power loss in the island; is the total number of load nodes in the island; The transmission power safety constraint is: ; Where, is the maximum voltage allowed at node i, For nodes The minimum voltage allowed, For nodes The voltage, For branch Maximum current allowed, For branch Current; In S22, the island partition optimization model is: ; Where, 、 are the weight coefficients of the two objective functions, is the active power loss when no reconstruction is performed, is the active power loss, The number of switching operations required to reconfigure the distribution network is is the number of switch actions; The node voltage constraints are: ; The transmission power constraint is: ; Where, For nodes The maximum limit of power flow, For nodes power, For nodes Maximum allowed voltage; For nodes Minimum allowed voltage.
2. The method for optimizing the configuration of a distribution network PMU under N-1 fault reconstruction according to claim 1, characterized in that: In S1, the calculation process of the node vulnerability level includes the following steps: S11, calculation circuit Probability of disconnection; S12, Line After N-1 fault occurs, the line s Probability of disconnection, calculation node vulnerability; S13. Calculate the voltage vulnerability of each line when it is disconnected, and The node vulnerability under fault reconstruction is normalized.
3. The method for optimizing PMU configuration of a distribution network considering N-1 fault reconstruction according to claim 2, characterized in that: In the S11, the line The probability of disconnection is: ; Where, is the total number of lines in the system, For the line The probability of disconnection, For the line reliability, For the line reliability; in, Determined by line failure rate and repair rate: ; Where, For the line The failure rate, For the line Repair rate; In S12, the node The vulnerability is: ; Where, Node after network reconstruction The voltage value, For the line Reconstructing the next node after a failure The vulnerability of is the number of nodes in the distribution network; In S13, the node vulnerability degree is normalized as follows: ; Where, for The normalized value of .
4. The method for optimizing PMU configuration in a distribution network considering N-1 fault reconstruction according to claim 3, characterized in that: In S3, the specific process of establishing the optimization configuration model is as follows: S31, the optimal configuration of PMU is to achieve network-wide observability while meeting economic efficiency, and establish an optimization model; S32, considering N-1 fault reconstruction, in order to improve the reliability of distribution network monitoring, set N-1 observation reliability constraints and establish the objective function; S33. Introduce zero injection nodes, modify the constraints of the entire network, and obtain the optimized configuration model.
5. The method for optimizing PMU configuration of a distribution network under N-1 fault reconstruction according to claim 4, characterized in that: In the S31, the optimization model is: ; The constraints for the grid voltage to be considerable under normal operating conditions are: ; in, ; ; Where, Indicates that the node Configure the PMU. Indicates that the node Do not configure PMU. N is the number of nodes in the power distribution system, is the node association matrix of the distribution system A The elements in Representation node With node connected, Representation node With node Not connected; when hour, .
6. The method for optimizing PMU configuration of a distribution network considering N-1 fault reconstruction according to claim 5, characterized in that: In the S32, the objective function is: ; ; In the formula, the first term of the objective function is the cost of PMU configuration, and the second term is the reliability of system monitoring. is the observed variable, Indicates line Reconstructing nodes under N-1 failure considerable; Indicates line Reconstructing nodes under N-1 failure Not watchable; The observation reliability constraints considering fault reconstruction are: ; ; Where, for B s The elements in B s For the line The node association matrix formed after fault reconstruction, Indicates line Reconstructing the next node after a failure and nodes the relationship between Indicates line Reconstruct the next node when a failure occurs With node connected, or ; Indicates line Reconstruct the next node when a failure occurs With node Not connected; Monitor reliability under N-1.
7. The method for optimizing PMU configuration of a distribution network considering N-1 fault reconstruction according to claim 6, characterized in that: In S33, the constraint condition for the overall grid voltage to be considerable is modified as follows: ; Where, is a 0-1 variable, Representation node is a zero injection node, Representation node Non-zero injection node; A binary variable describing the role played by the zero injection node, =1 means zero injection node For nodes Considerable contribution is calculated once, Indicates zero injection node Not a node Calculation of substantial contribution; The optimized configuration model is: 。
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