Configuration method and system for synchronous phasor measurement unit in distribution network considering broadband measurement
By optimizing the PMU configuration model and topology matrix update, the problem of large state estimation error of broadband signals in distribution networks is solved, and complete observability and accurate state estimation of broadband signals are achieved with the minimum number of PMUs.
Patent Information
- Application Number
- CN202210968925.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-08-12
- Publication Date
- 2025-10-31
- Estimated Expiration
- 2042-08-12
AI Technical Summary
Existing technologies struggle to effectively utilize broadband information when performing distribution network state estimation, resulting in significant errors in broadband signal state estimation. Furthermore, existing PMU optimization configuration methods cannot ensure that the system is fully observable under broadband conditions.
By analyzing the broadband signal attenuation characteristics and measurement errors of nodes, the PMU configuration model is optimized. Using the topology matrix update method, the complete observability of broadband signals is ensured with the minimum number of PMUs, and accurate state estimation is performed.
It improves the state estimation accuracy of broadband signals in the distribution network, ensures that the system is fully observable at multiple frequencies, overcomes the problem of inaccurate node observability determination caused by broadband measurement errors, and provides a more accurate observability reference.
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Figure CN115347671B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of condition monitoring and data analysis technology, and in particular to a method and system for configuring a synchronous phasor measurement unit for a distribution network that takes into account broadband measurement. Background Technology
[0002] The statements in this section are merely background information related to the present invention and do not necessarily constitute prior art.
[0003] Advances in condition monitoring and data analytics technologies are supporting the improvement of power system automation levels and playing an increasingly important role in the safe and economical operation of the power grid. Accurate grid parameters and network topology are prerequisites for the reliable operation of advanced applications.
[0004] The application of synchronous phasor measurement units (PMUs) in distribution networks has made parameter estimation based on measurement data possible, providing a way to improve the safe and economical operation of the power grid and the level of energy management. As a high-precision online safety monitoring tool, the PMU can directly provide accurate and reliable synchronous phasor data compared to other measurement devices, and is therefore gradually being applied in fields such as fault location and parameter estimation. Using PMU measurement data for distribution network state estimation has the advantages of high estimation accuracy, low computational load, and strong real-time performance. With the continuous decline in hardware and communication costs, PMUs with broadband measurement capabilities have been increasingly used in recent years, providing a foundation for accurate parameter identification using broadband information.
[0005] Before performing state estimation on a network, observability analysis must be performed. Observability analysis identifies whether a set of available measurements is sufficient to estimate the system's state. Observability is related to the number of measurements, as well as their type and location. Observability analysis determines whether a unique system state estimate can be obtained using a given set of measurements, i.e., whether the system is fully observable. Traditionally, there are two main methods for determining network observability: numerical objectivity analysis and topological observability analysis. Numerical methods analyze the Jacobian matrix; when the number of measurements exceeds the number of state variables, the matrix is full column rank, and in this case, the network is observable. Topological methods use graph theory to determine network observability based on measurement type and location. This method requires the network's topology (i.e., the connections between nodes), the type of measurement data, and its location, but does not require the actual parameters of the network; it is a logical operation.
[0006] When optimizing the configuration of PMUs, focusing on improving the observability of the distribution network, the PMU optimization configuration model is mainly constructed around three constraints: minimizing the number of PMUs, maximizing measurement redundancy, and considering emergency constraints (single PMU failure or single line failure). The optimization configuration methods for PMUs vary depending on different application requirements.
[0007] In summary, existing research on PMU optimization configuration largely employs the aforementioned methods for observability analysis. By optimizing PMU configuration, the observability of the distribution network is improved, thereby enhancing the accuracy of distribution network state estimation. In modern power systems, with the large-scale integration of renewable energy generation into the grid and the increasing number of power electronic devices, a significant amount of broadband information beyond the power frequency has been introduced. State estimation of this broadband information is an urgent need for distribution management systems. When using existing methods to estimate the state of electrical quantities, including both power frequency and broadband signals, the relatively small values, rapid attenuation, and large measurement errors of broadband signals render some nodes in the system practically unobservable, resulting in substantial errors in broadband signal state estimation. Summary of the Invention
[0008] To address the aforementioned issues, this invention proposes a method and system for configuring synchronous phasor measurement units (PMUs) in a distribution network that considers broadband measurement. Utilizing the attenuation characteristics of broadband signals on transmission lines, the method estimates the magnitude of broadband signals at adjacent nodes based on the magnitude of the measured signals at a given frequency. The estimated results are then compared with allowable error values to determine the observability of adjacent nodes. By leveraging the varying observability of nodes under different frequency band measurement conditions, the elements in the network's topology matrix A are updated, and the PMU measurement point configuration is optimized. This allows for complete observability of broadband signals with a minimum number of PMUs, thereby enabling more accurate state estimation of broadband signals.
[0009] In some implementations, the following technical solutions are adopted:
[0010] A method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement includes:
[0011] Acquire power grid line data, including distribution network topology information and line impedance parameter information;
[0012] With the goal of minimizing the number of PMUs in the network and the constraint that the state of all nodes in the network is observable, an optimized configuration model for broadband measurement is constructed.
[0013] Determine the specific frequencies and total number of frequencies K to be considered for broadband measurements during PMU configuration, and number each frequency as i, i = 1, 2, ..., K, where i = 1 represents the power frequency number. Configure the PMU for the i-th frequency band signal based on the network topology information, and obtain the PMU measurement information of the configured node. Based on the i-th PMU configuration result and the measurement information of the configured node, estimate the voltage amplitude of the i-th frequency of the adjacent nodes of the installed node. Determine the observability of the adjacent nodes, and then correct the network topology matrix to obtain a new topology matrix. Let i = i + 1, and repeat this process until the set upper limit K is met.
[0014] Based on the final obtained topology matrix, an optimized configuration model based on measurements is used to obtain a PMU configuration scheme applicable to each frequency.
[0015] As an optional approach, the state of the power grid at various frequencies needs to be estimated during the process of obtaining the PMU configuration scheme, and the measurement configuration should be carried out with the goal of achieving the best overall effect of signal measurement at each frequency.
[0016] As an alternative approach, with the goal of minimizing the number of PMUs configured in the network and the constraint that the states of all nodes in the network are observable, an optimized configuration model for measurement is constructed, specifically:
[0017]
[0018] ε.t.:M=AX+O≥b
[0019] Where N is the number of nodes in the network; i is the node number in the network; X is an N-dimensional column vector, where X i It can be represented as:
[0020]
[0021] H is the measurement matrix, Cond(H) = ||H| -1 ||·||H|| is the condition number of matrix H, A is the node-branch topology matrix, and O = [o1, o2, ..., o2]. n ] T Inject the observation vector to zero, b = [1, 1, ..., 1] T b is the minimum measurement redundancy vector. i =1 ensures that node i is observable; m i Let i be the measurement redundancy of node i.
[0022] As an optional approach, based on the i-th PMU configuration result and the measurement information of the configuration node, the voltage amplitude of each frequency of the adjacent nodes of the installed node is estimated using the circuit model composed of network topology and parameters.
[0023] As an optional approach, the observability of neighboring nodes is determined, and then the network topology matrix is corrected, specifically including:
[0024] If a PMU measuring device is installed at node m, and node n is connected to node m, the measured value of the node voltage at node m is U. m , ε Um U represents the node voltage measurement error at point m. n Let U be the voltage estimate at node n, if U n ≤ε Um Then, node n is defined as an unobservable node relative to node m. In this case, the elements a of the topological matrix A are... nm =0 and element a mn =0.
[0025] Alternatively, if node n is connected to other nodes besides node m, and node n is unobservable relative to all its adjacent observable nodes, then node n is defined as an unobservable node; in this case, the element a of the topological matrix A is... n... =0 and element a ...n =0, only a nn =1 remains unchanged.
[0026] Alternatively, if node n is observable relative to at least one adjacent observable node, then node n is an observable node; a node with a measurement device configured is an observable node.
[0027] In other embodiments, the following technical solutions are adopted:
[0028] A distribution network synchronous phasor measurement unit configuration system considering broadband measurement includes:
[0029] The data acquisition module is used to acquire power grid line data, including the topology information of the distribution network and the impedance parameter information of the lines.
[0030] The optimization configuration model building module is used to build an optimization configuration model for broadband measurement with the goal of minimizing the number of PMUs in the network and the constraint that the state of all nodes in the network is observable.
[0031] The topology matrix update module is used to determine the specific frequencies and the total number of frequencies K to be considered for broadband measurements during PMU configuration, and to number each frequency as i, i = 1, 2, ... K, where i = 1 represents the power frequency number. Based on the network topology information, the module performs PMU configuration for the i-th frequency band signal and obtains the PMU measurement information of the configured node. Based on the i-th PMU configuration result and the measurement information of the configured node, it estimates the voltage amplitude of the i-th frequency of the adjacent nodes of the installed node. It then determines the observability of the adjacent nodes and corrects the network topology matrix to obtain a new topology matrix. This process is repeated until the set upper limit K is met.
[0032] The optimization configuration module is used to obtain PMU configuration schemes suitable for each frequency based on the final obtained topology matrix and the measurement optimization configuration model.
[0033] In other embodiments, the following technical solutions are adopted:
[0034] A terminal device includes a processor and a memory, the processor being used to implement various instructions; the memory being used to store multiple instructions adapted to be loaded and executed by the processor, the above-described configuration method for a distribution network synchronous phasor measurement unit considering broadband measurements.
[0035] In other embodiments, the following technical solutions are adopted:
[0036] A computer-readable storage medium storing a plurality of instructions adapted for loading and execution by a processor of a terminal device of the above-described method for configuring a distribution network synchronization phasor measurement unit considering broadband measurements.
[0037] Compared with the prior art, the beneficial effects of the present invention are:
[0038] (1) The distribution network PMU measurement point optimization configuration method of the present invention, which considers broadband measurement information, can improve the state estimation accuracy of broadband signals of the distribution network compared with the traditional distribution network PMU optimization configuration scheme, and provide strong support for power grid state monitoring and data analysis.
[0039] (2) Compared with the previous configuration scheme that could only achieve state observability for specific frequencies, the PMU measurement point optimization configuration method of the distribution network considering broadband information of the present invention can perform state estimation for electrical state quantities of multiple frequencies and achieve complete observability of the system for multiple frequencies.
[0040] (3) Compared with traditional configuration methods, the distribution network PMU measurement point optimization configuration method of the present invention, which considers broadband measurement information, can overcome the problem of inaccurate node observability determination caused by broadband measurement error, and provides more accurate observability description and more accurate observability reference for broadband state estimation, parameter identification and other applications.
[0041] Other features and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. Attached Figure Description
[0042] Figure 1 This is a flowchart of a method for configuring a synchronous phasor measurement unit for a distribution network that considers broadband measurement in an embodiment of the present invention. Detailed Implementation
[0043] It should be noted that the following detailed descriptions are illustrative and intended to provide further explanation of this application. Unless otherwise specified, all technical and scientific terms used in this invention have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains.
[0044] It should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the exemplary embodiments according to this application. As used herein, the singular form is intended to include the plural form as well, unless the context clearly indicates otherwise. Furthermore, it should be understood that when the terms "comprising" and / or "including" are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.
[0045] Example 1
[0046] In one or more embodiments, a method for configuring a distribution network synchronization phasor measurement unit considering broadband measurements is disclosed, combined with... Figure 1 Specifically, it includes the following processes:
[0047] (1) Obtain power grid line data, including the topology information of the distribution network and the impedance parameter information of the lines; determine the broadband measurement error requirements based on the transmission characteristics of the measuring device.
[0048] (2) With the goal of minimizing the number of PMUs in the network and the constraint that the state of all nodes in the network is observable, an optimized configuration model for broadband measurement is constructed.
[0049] In this embodiment, the optimization objective of the model is to minimize the number of PMUs configured in the network, and the objective function f(X) can be expressed as:
[0050]
[0051] In the formula: N is the number of nodes in the network; i is the node number in the network; X is an N-dimensional column vector, where X i It can be represented as:
[0052]
[0053] A PMU can measure the voltage phasor of an installed node and the branch current phasor flowing through that node. Generally, a node is defined as an observable node if its electrical state quantities can be directly measured or calculated.
[0054] Based on the measurement properties of the PMU, the following observability analysis rules can be given: ① The node of the PMU and all nodes connected to it are observable nodes. ② When a zero-injection node is observable and only one connected node has an unknown observability, the voltage phasor of that connected node can be calculated using Kirchhoff's laws, meaning that node is also an observable node. ③ When all connected nodes of a zero-injection node with unknown observability are observable, the voltage phasor of that zero-injection node can be calculated using Kirchhoff's laws, meaning that zero-injection node is also an observable node.
[0055] The constraint is that the state of all nodes in the network is observable.
[0056] M=AX≥b (3)
[0057] In the formula: M=[m1,m2,…,m N ] T For the redundancy vector of the measurement, m i Let b be the measurement redundancy of node i, i.e., the number of times node i is observed; b = [1, 1, ..., 1] T Let b be the minimum measurement redundancy vector. i =1 ensures that node i is observable; A is the node-branch topology matrix, and the elements of matrix A represent the connectivity relationships between nodes:
[0058]
[0059] As network size increases, multiple feasible solutions with the same considerable number of nodes may exist for a given number of PMUs. In this case, network measurement redundancy becomes an important metric for evaluating the performance of a solution. In the PMU optimization configuration model, the average measurement redundancy is defined across multiple topologies:
[0060]
[0061] To ensure that measurement redundancy does not affect the optimal effect of minimizing the number of PMUs, the objective function is updated as follows:
[0062]
[0063] When any k nodes among the zero-injection node and its k connected nodes are observable, the voltage phasor of the (k+1)th node can be calculated, meaning the (k+1)th node is also observable. Therefore, the measurement redundancy phasor can be updated as follows:
[0064] M = AX + O (7)
[0065] In the formula: O = [o1, o2, ..., o n ] T Inject observation vectors to zero, o i Indicates whether a zero-injection node or its connected node i becomes an observable node due to the characteristics of the zero-injection node:
[0066]
[0067]
[0068] In the formula: node p is the zero-injection node, and nodes p+1 to p+k are the adjacent nodes of the zero-injection node.
[0069] The measurement equation for state estimation based on the least weighted squares method can be expressed as:
[0070] Z-ε=H(x+Δx) (10)
[0071] Where: Z is the measurement vector, X is the state variable, H is the measurement matrix, and ε is the measurement matrix noise. From the above equation, the error vector can be solved to satisfy:
[0072]
[0073] Where: Cond(H) = ||H -1 ||·||H|| is the condition number of matrix H.
[0074] As shown in the above equation, the condition number of the H matrix affects the accuracy of state estimation. Therefore, when performing state estimation, the condition number of the measurement Jacobian matrix should be minimized, i.e.:
[0075] min Cond(H) (11)
[0076] In summary, the optimal configuration model for measurements during fundamental frequency state estimation can be expressed as:
[0077]
[0078] (3) Determine the specific frequencies and total number of frequencies K to be considered for broadband measurement during PMU configuration, and number each frequency as i, i = 1, 2, ... K, where i = 1 represents the power frequency number. Configure the PMU for the i-th frequency band signal according to the network topology information and obtain the PMU measurement information of the configured node. Based on the i-th PMU configuration result and the measurement information of the configured node, estimate the voltage amplitude of the i-th frequency of the adjacent nodes of the installed node. Determine the observability of the adjacent nodes, and then correct the network topology matrix to obtain a new topology matrix. Let i = i + 1, and repeat the process until the set upper limit of the number of times K is met.
[0079] When using the configuration method of the measurement device under the fundamental frequency parameter to perform state estimation of broadband signals, there is a situation where the amplitude of the state estimation result of the broadband signal is too small, or even smaller than the error requirement, making the node unobservable, resulting in a large broadband estimation error.
[0080] Therefore, to obtain more accurate estimation results when performing broadband state estimation, it is necessary to optimize the PMU configuration for broadband measurements based on the observability of nodes under broadband conditions. Furthermore, the observability of nodes under broadband measurements also needs to be redefined.
[0081] ① If a PMU measuring device is installed at node m (or node m is observable), and node n is connected to node m, the measured (or estimated) node voltage of node m is U. m , ε Um U represents the measurement error (or estimation error) of the node voltage at point m. n Let U be the voltage estimate at node n, if U n ≤ε Um Then, node n is defined as an unobservable node relative to node m. In this case, the elements a of the topological matrix A are... nm =0 and element a mn =0. ε Um Determined based on the measurement error of broadband signals at each frequency.
[0082] ② If node n is connected to other nodes besides node m, and node n is unobservable relative to all its adjacent observable nodes, then node n is defined as an unobservable node. In this case, let a... n... =0 and element a ...n =0, only a nn =1 remains unchanged.
[0083] ③ If node n is observable with respect to at least one adjacent observable node, then node n is an observable node.
[0084] ④ The nodes where the measurement devices are configured are observable nodes.
[0085] When performing optimization configuration, first determine the frequency to be optimized, then apply the above method to the broadband measurement information of each frequency in turn to analyze the observability of the node under broadband conditions, and update the elements of the topology matrix A. After obtaining the new topology matrix A, apply the PMU configuration method represented by equation (12) to optimize the PMU configuration, and the optimal PMU configuration scheme under broadband conditions can be obtained.
[0086] Specifically, first, determine the frequency K to be configured, set the iteration number to i=1, and the topology matrix to A1; that is, perform the initial PMU configuration based on the network topology information, and obtain the PMU measurement information of the configuration node, including: active power, reactive power, voltage phasor and current phasor of the transmission line; the reference direction of current and power is positive with the direction of flowing into the line.
[0087] Based on the initial PMU configuration results and the measurement information of the configured nodes, the power frequency voltage amplitude of the adjacent nodes of the installed node is estimated. The estimated values are compared with the measurement errors. Using the observability analysis methods described in ①-④ above under broadband conditions, the observability of the adjacent nodes is determined. The network topology matrix is then corrected to obtain a new topology matrix A. i Then let i = 2, and perform the second iteration using the same method. Repeat this process until all iterations are completed, resulting in a new topological matrix A. K .
[0088] It's important to note that the frequencies to be configured don't necessarily increase sequentially from 1 to 5. Instead, we analyze only the frequencies we need to consider. For example, we can analyze only typical broadband electrical quantities in the distribution network, excluding the power frequency (e.g., 5th, 7th, and 11th frequencies). In this case, the total number of frequencies is 4. We can set 1 to represent the power frequency, 2 to the 5th, 3 to the 7th, and 4 to the 11th, and then perform observability analysis on these four frequencies sequentially. The initial topology matrix A0 is obtained based on the connection relationships of the network nodes.
[0089] (4) Based on the final topology matrix, the PMU configuration scheme applicable to each frequency is obtained by using the measurement optimization configuration model.
[0090] Based on the updated topology matrix A K According to Equation (12), the PMU is optimized and configured to obtain a PMU configuration scheme applicable to each frequency. Based on the PMU configuration result of the i-th time and the measurement information of the configuration node, including the amplitude and phase of voltage and current at each frequency, the voltage amplitude of each frequency of the adjacent nodes of the installation node is estimated using the circuit model composed of network topology and parameters.
[0091] It should be noted that, considering that when performing state estimation on broadband signals, the analysis mainly focuses on information such as node voltage amplitude and phase angle, and that voltage amplitude exhibits more obvious attenuation characteristics under high-frequency conditions, which has a more significant impact on node observability, the observability analysis mainly considers the impact of node voltage amplitude on node state observability.
[0092] The method in this embodiment can perform state estimation for electrical state variables at multiple frequencies, achieving complete observability of the system at multiple frequencies. It can overcome the problem of inaccurate node observability determination caused by broadband measurement errors, providing a more accurate description of observability and offering a more precise observability reference for applications such as broadband state estimation and parameter identification.
[0093] Example 2
[0094] In one or more embodiments, a distribution network synchronization phasor measurement unit configuration system considering broadband measurement is disclosed, comprising:
[0095] The data acquisition module is used to acquire power grid line data, including the topology information of the distribution network and the impedance parameter information of the lines.
[0096] The optimization configuration model building module is used to build a measurement optimization configuration model with the goal of minimizing the number of PMUs in the network and the constraint that the state of all nodes in the network is observable.
[0097] The topology matrix update module is used to determine the specific frequencies and the total number of frequencies K (including the power frequency) to be considered for broadband measurements during PMU configuration, and to number each frequency as i (i = 1, 2, ..., K), where i = 1 represents the power frequency number. Based on the network topology information, it performs PMU configuration considering the i-th frequency band signal (i = 1, 2, ..., N), and obtains the PMU measurement information of the configured node. Based on the i-th PMU configuration result and the measurement information of the configured node, it estimates the voltage amplitude of the i-th frequency of the adjacent nodes of the installed node. It determines the observability of the adjacent nodes and then corrects the network topology matrix to obtain a new topology matrix. Let i = i + 1, and repeat this process until the set upper limit K is met.
[0098] The optimization configuration module is used to obtain PMU configuration schemes suitable for each frequency based on the final obtained topology matrix and the measurement optimization configuration model.
[0099] The specific implementation methods of the above modules have been described in Example 1, and will not be detailed here.
[0100] Example 3
[0101] In one or more embodiments, a terminal device is disclosed, including a server. The server includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the distribution network synchronization phasor measurement unit configuration method considering broadband measurement in Embodiment 1. For simplicity, further details are omitted here.
[0102] It should be understood that in this embodiment, the processor can be a central processing unit (CPU), or it can be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor can be a microprocessor or any conventional processor, etc.
[0103] Memory may include read-only memory and random access memory, and provides instructions and data to the processor. A portion of memory may also include non-volatile random access memory. For example, memory may also store information about the device type.
[0104] In the implementation process, each step of the above method can be completed by the integrated logic circuits in the processor hardware or by software instructions.
[0105] Example 4
[0106] In one or more embodiments, a computer-readable storage medium is disclosed, wherein a plurality of instructions are stored, the instructions being adapted to be loaded by a processor of a terminal device and executed by the distribution network synchronization phasor measurement unit configuration method considering broadband measurement described in Embodiment 1.
[0107] While the specific embodiments of the present invention have been described above in conjunction with the accompanying drawings, this is not intended to limit the scope of protection of the present invention. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art without creative effort based on the technical solutions of the present invention are still within the scope of protection of the present invention.
Claims
1. A method for configuring a synchronous phasor measurement unit in a distribution network considering broadband measurement, characterized in that, include: Acquire power grid line data, including distribution network topology information and line impedance parameter information; With the goal of minimizing the number of PMUs in the network and the constraint that the state of all nodes in the network is observable, an optimized configuration model for broadband measurement is constructed. Determine the specific frequencies and total number of frequencies K to be considered for broadband measurement when configuring PMU, and number each frequency as i, i = 1, 2, ... K, where i = 1 represents the power frequency number. Configure the PMU for the i-th frequency band signal according to the network topology information and obtain the PMU measurement information of the configured node. Based on the PMU configuration result of the i-th time and the measurement information of the configuration node, the voltage amplitude of the i-th frequency of the adjacent nodes of the installed node is estimated; the observability of the adjacent nodes is determined, and then the network topology matrix is corrected to obtain a new topology matrix. Let i = i + 1, and repeat the process until the set maximum number of times K is met; Based on the final obtained topology matrix, an optimized configuration model based on measurements is used to obtain a PMU configuration scheme applicable to each frequency.
2. The method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement as described in claim 1, characterized in that, In the process of obtaining the PMU configuration scheme, it is necessary to estimate the state of the power grid at various frequencies, and to configure the measurement with the goal of achieving the best overall effect of signal measurement at each frequency.
3. The method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement as described in claim 1, characterized in that, With the objective of minimizing the number of PMUs in the network and the constraint that the states of all nodes in the network are observable, an optimal configuration model for measurement is constructed, specifically as follows: st:M=AX+O≥b Where N is the number of nodes in the network; i is the node number in the network; X is an N-dimensional column vector, where X i It can be represented as: H is the measurement matrix, Cond(H) = ||H| -1 ||·||H|| is the condition number of matrix H, A is the node-branch topology matrix, and O=[o1,o2,...,o n ] T Inject the observation vector to zero, b = [1,1,…,1] T b is the minimum measurement redundancy vector. i =1 ensures that node i is observable; m i Let i be the measurement redundancy of node i.
4. The method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement as described in claim 1, characterized in that, Based on the PMU configuration result of the i-th time and the measurement information of the configuration node, the voltage amplitude of each frequency of the adjacent nodes of the installed node is estimated using the circuit model composed of network topology and parameters.
5. The method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement as described in claim 1, characterized in that, Determine the observability of neighboring nodes, and then correct the network topology matrix, specifically including: If a PMU measuring device is installed at node m, and node n is connected to node m, the measured value of the node voltage at node m is U. m , ε Um U represents the node voltage measurement error at point m. n Let U be the voltage estimate at node n, if U n ≤ε Um Then, node n is defined as an unobservable node relative to node m. In this case, the elements a of the topological matrix A are... nm =0 and element a mn =0.
6. The method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement as described in claim 5, characterized in that, If node n is connected to other nodes besides node m, and node n is unobservable relative to all its adjacent observable nodes, then node n is defined as an unobservable node; in this case, the element a of the topological matrix A is... n... =0 and element a …n =0, only a nn =1 remains unchanged.
7. The method for configuring a distribution network synchronization phasor measurement unit considering broadband measurement as described in claim 5, characterized in that, If node n is observable relative to at least one adjacent observable node, then node n is an observable node; a node with a measurement device is an observable node.
8. A configuration system for a distribution network synchronous phasor measurement unit considering broadband measurement, characterized in that, include: The data acquisition module is used to acquire power grid line data, including the topology information of the distribution network and the impedance parameter information of the lines. The optimization configuration model building module is used to build an optimization configuration model for broadband measurement with the goal of minimizing the number of PMUs in the network and the constraint that the state of all nodes in the network is observable. The topology matrix update module is used to determine the specific frequency and total frequency K of the broadband measurement to be considered for PMU configuration, and to number each frequency as i, i = 1, 2, ... K, where i = 1 represents the power frequency number. Based on the network topology information, the PMU configuration of the i-th frequency band signal is performed, and the PMU measurement information of the configured node is obtained. Based on the PMU configuration result of the i-th time and the measurement information of the configuration node, the voltage amplitude of the i-th frequency of the adjacent nodes of the installed node is estimated; the observability of the adjacent nodes is determined, and then the network topology matrix is corrected to obtain a new topology matrix. Let i = i + 1, and repeat the process until the set maximum number of times K is met; The optimization configuration module is used to obtain PMU configuration schemes suitable for each frequency based on the final obtained topology matrix and the measurement optimization configuration model.
9. A terminal device comprising a processor and a memory, wherein the processor implements instructions; and the memory stores multiple instructions, characterized in that, The instructions are adapted to be loaded by a processor and executed as described in any one of claims 1-7, the method for configuring a distribution network synchronous phasor measurement unit considering broadband measurements.
10. A computer-readable storage medium storing a plurality of instructions, characterized in that, The instructions are adapted to be loaded by the processor of the terminal device and executed by the method for configuring a distribution network synchronous phasor measurement unit considering broadband measurement as described in any one of claims 1-7.
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