A static equivalent verification method for power system

By constructing node voltage equations and using external boundary nodes and admittance matrices to verify the equivalent results of the power system, the time-consuming problem in electromagnetic transient simulation software is solved, and fast and accurate equivalent verification is achieved, thereby improving the calculation accuracy and stability of the power system.

CN120068440BActive Publication Date: 2025-09-26이너 몽골리아 일렉트릭 파워 그룹 컴퍼니 리미티드 이너 몽골리아 일렉트릭 파워 리서치 인스티튜트 브랜치
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Patent Information

Application Number
CN202510188303.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2025-02-19
Publication Date
2025-09-26
Estimated Expiration
2045-02-19

AI Technical Summary

Technical Problem

The existing power system equivalent verification method is time-consuming in electromagnetic transient simulation software, resulting in a complicated verification process and affecting the work efficiency of simulators.

Method used

By determining the first complex voltage column vector of the external boundary node, the complex power column vector of the auxiliary switch, the internal equivalent complex current column vector, the equivalent complex current column vector of the external boundary node and the admittance matrix, the node voltage equation is constructed and the correctness of the equivalent result is verified.

Benefits of technology

It improves the calculation accuracy and stability of the power system, reduces the errors caused by simplification, quickly verifies the correctness of the equivalent results, and improves the work efficiency of the simulator.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention provides a method for verifying the static equivalent value of a power system, belonging to the technical field of power system analysis. The method comprises the following steps: obtaining a power system flow result file and an equivalent result file, determining a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch based on the flow result file; determining an internal equivalent complex current column vector based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch, determining an equivalent complex current column vector of the external boundary node based on the equivalent result file, and determining an admittance matrix; determining a node voltage equation based on the internal equivalent complex current column vector, the equivalent complex current column vector of the external boundary node, and the admittance matrix; determining a second complex voltage column vector of the external boundary node and a second complex power column vector of the external system flowing into the internal system based on the node voltage equation, and performing verification. The present invention can quickly verify the correctness of the equivalent result and improve the work efficiency of simulation personnel.
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Description

Technical Field

[0001] The present invention relates to the field of power support technology, and in particular to a static equivalence verification method for a power system. Background Art

[0002] Power system equivalence technology stems from the need to simplify the analysis of large-scale power grids in digital power simulation. As power networks continue to expand, traditional power flow calculation methods pose challenges in terms of computational complexity and time. To address this challenge, power system equivalence methods have emerged. By simplifying parts of a complex power grid or external systems into simplified models, equivalence makes power dispatch and optimization analysis more efficient.

[0003] Currently, a common practice is to remodel and simulate the detailed internal system model and the equivalent external system model in electromagnetic transient software. The correctness of the equivalent results is determined by the consistency of the electromagnetic transient flow results with the original BPA flow results. Electromagnetic transient modeling is a lengthy and complex process, which makes verifying the equivalent results very time-consuming. Using electromagnetic transient simulation software to verify the correctness of the auxiliary switch method's equivalent results is labor-intensive and time-consuming. Therefore, a rapid verification method is needed to improve the efficiency of simulation personnel.

[0004] Therefore, the present invention provides a method for verifying static equivalence of a power system. Summary of the Invention

[0005] The present invention provides a static equivalence verification method for an electric power system. The method determines the first complex voltage column vector of an external boundary node, the complex power column vector of an auxiliary switch, the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, determines the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, determines the node voltage equation, determines the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system according to the node voltage equation, and performs verification. This method ensures that the simplified electric power system can accurately reflect the electrical characteristics of the actual electric power network, improves calculation accuracy, operational flexibility and stability, effectively reduces errors caused by simplification, improves the reliability of the equivalence process, quickly verifies the correctness of the equivalence results, and improves the work efficiency of simulation personnel.

[0006] The present invention provides a method for verifying static equivalence of a power system, comprising:

[0007] 101: Obtain a power flow result file and an equivalent result file of the power system, and determine a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch based on the power flow result file;

[0008] 102: Determine an internal equivalent complex current column vector based on the first complex voltage column vector of the external boundary node and the auxiliary switch complex power column vector, determine the equivalent complex current column vector of the external boundary node based on the equivalent result file, and determine an admittance matrix;

[0009] 103: Determine the node voltage equation based on the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix;

[0010] 104: Determine a second complex voltage column vector of the external boundary node and a second complex power column vector flowing from the external system to the internal system based on the node voltage equation, and verify them.

[0011] According to a static equivalent verification method for a power system provided by the present invention, a power flow result file includes internal boundary node data, auxiliary switch data, and external boundary node data;

[0012] The equivalent result file includes the Norton equivalent complex current data of the external boundary nodes, the Norton equivalent complex current data of the external boundary nodes, and the node admittance data.

[0013] According to a static equivalent verification method for a power system provided by the present invention, a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch are determined based on a power flow result file, including:

[0014] Extract the voltage amplitude, voltage phase angle and node label of each external boundary node in the internal boundary node data of the power flow result file;

[0015] Determine a first complex voltage column vector of the external boundary nodes based on voltage amplitudes, voltage phase angles, and node labels of all external boundary nodes in the external boundary node data;

[0016] ;

[0017] ;

[0018] ;

[0019] in, represents the first complex voltage column vector of the external boundary node, They represent the real part of the voltage of the external boundary nodes labeled 1, i, and N, respectively. They represent the imaginary part of the voltage of the external boundary nodes with the external boundary node label 1, the external boundary node label i, and the external boundary node label N, respectively. represents the voltage amplitude of the external boundary node with the label i, represents the voltage phase angle of the external boundary node with the external boundary node label i, j represents the imaginary unit, N represents the number of external boundary nodes, Represents vector transpose;

[0020] Extract the active power, reactive power, and label of each auxiliary switch from the auxiliary switch data in the power flow result file. The nodes on both sides of the auxiliary switch are internal boundary nodes and external boundary grounding, respectively. The power direction is positive when it flows from the external boundary node to the internal boundary node.

[0021] Determine an auxiliary switch complex power column vector based on all auxiliary switch active powers, auxiliary switch reactive powers, and auxiliary switch labels;

[0022] ;

[0023] in, represents the auxiliary switch complex power column vector, They represent the active power of the auxiliary switches with auxiliary switch labels 1, i, and N, respectively. They represent the reactive power of the auxiliary switches with auxiliary switch labels 1, i, and N, respectively.

[0024] According to a static equivalent verification method for a power system provided by the present invention, an internal equivalent complex current column vector is determined based on a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch, comprising:

[0025] Determine an internal equivalent complex current of each external boundary node based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch;

[0026] ;

[0027] in, represents the internal equivalent complex current of the external boundary node labeled i, The conjugate complex number representing the ratio of the complex power of the boundary branch labeled i to the complex voltage of the external boundary node labeled i;

[0028] determining an internal equivalent complex current column vector based on the internal equivalent complex currents of all external boundary nodes;

[0029] ;

[0030] in, represents the internal equivalent complex current column vector, They represent the internal equivalent complex currents of the external boundary nodes labeled 1 and N, respectively.

[0031] According to a static equivalent verification method for a power system provided by the present invention, determining an equivalent complex current column vector of an external boundary node based on an equivalent result file includes:

[0032] Extract the Norton equivalent current amplitude and Norton equivalent current phase angle of each external boundary node in the Norton equivalent complex current data of the external boundary node in the equivalent result file;

[0033] Determine the Norton equivalent complex current of each external boundary node based on the Norton equivalent current amplitude and the Norton equivalent current phase angle of each external boundary node;

[0034] Determine the external boundary node equivalent complex current column vector based on the Norton equivalent complex currents of all external boundary nodes and the external boundary node labels, wherein the boundary node equivalent complex current has the positive direction of the inflow node as the positive direction;

[0035] ;

[0036] in, represents the equivalent complex current column vector of the external boundary nodes, They represent the Norton equivalent complex currents of the external boundary nodes labeled 1, k, and N, respectively, where N represents the number of external boundary nodes.

[0037] According to a static equivalent verification method for a power system provided by the present invention, an admittance matrix is ​​determined based on an equivalent result file, comprising:

[0038] Extract the branch admittance between every two external boundary nodes and the ground admittance of each external boundary node in the node admittance data;

[0039] Determine the external admittance matrix based on all branch admittances and all ground admittances;

[0040] ;

[0041] ;

[0042] in, represents the external boundary node admittance matrix, They represent the mutual admittance between the first external boundary node and the jth external boundary node, and the mutual admittance between the first external boundary node and the Nth external boundary node, respectively. They represent the mutual admittance between the ith external boundary node and the 1st external boundary node, and the mutual admittance between the ith external boundary node and the Nth external boundary node, respectively. They represent the mutual admittance between the Nth external boundary node and the 1st external boundary node, and the mutual admittance between the Nth external boundary node and the jth external boundary node, respectively. They represent the self-admittance of the first external boundary node, the self-admittance of the i-th external boundary node, and the self-admittance of the N-th external boundary node, respectively. represents the branch admittance of the i-th external boundary node and the k-th external boundary node, represents the ground admittance of the i-th external boundary node, and N represents the number of external boundary nodes.

[0043] According to the present invention, a static equivalent verification method for a power system is provided, which determines a node voltage equation based on an internal equivalent complex current column vector, an external boundary node equivalent complex current column vector, and an admittance matrix, including:

[0044] ;

[0045] in, represents the second complex voltage column vector of the external boundary node, represents the equivalent complex current column vector of the external boundary nodes, represents the internal equivalent complex current column vector.

[0046] According to a method for verifying static equivalence of a power system provided by the present invention, a second complex voltage column vector of an external boundary node and a second complex power column vector of an external system flowing into an internal system are determined based on a node voltage equation, and verification is performed, including:

[0047] Solve the node voltage equation to determine the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system ;

[0048] ;

[0049] ;

[0050] in, represents the external boundary node admittance matrix The inverse matrix of The separate tables represent the conjugate complex numbers of the 1st, i-th, and N-th internal equivalent complex currents;

[0051] Determine whether the first complex voltage column vector of the external boundary node and the second complex voltage column vector of the external boundary node are equal, determine whether the auxiliary switch complex power column vector and the second complex power column vector are equal, and determine the correctness of the external equivalent parameters in the equivalent result file based on the judgment result.

[0052] Compared with the prior art, the present invention has the following advantages:

[0053] By determining the first complex voltage column vector of the external boundary node, the complex power column vector of the auxiliary switch, the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, the node voltage equation is determined, and the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system are determined according to the node voltage equation, and verification is performed. This can ensure that the simplified power system can accurately reflect the electrical characteristics of the actual power network, improve the calculation accuracy, operation flexibility and stability, effectively reduce the errors caused by simplification, improve the reliability of the equivalent process, quickly verify the correctness of the equivalent results, and improve the work efficiency of the simulation personnel. BRIEF DESCRIPTION OF THE DRAWINGS

[0054] In order to more clearly illustrate the technical solutions in the present invention or the prior art, a brief introduction is given below to the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0055] Figure 1 The present invention provides a flow chart of a method for verifying static equivalence of a power system. DETAILED DESCRIPTION

[0056] To make the objectives, technical solutions, and advantages of the present invention more clear, the technical solutions of the present invention will be clearly and completely described below in conjunction with the accompanying drawings. Obviously, the embodiments described are only some of the embodiments of the present invention, not all of them. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts shall fall within the scope of protection of the present invention.

[0057] Example 1:

[0058] The embodiment of the present invention provides a method for verifying static equivalence of a power system. Figure 1 As shown, including:

[0059] 101: Obtain a power flow result file and an equivalent result file of the power system, and determine a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch based on the power flow result file;

[0060] 102: Determine an internal equivalent complex current column vector based on the first complex voltage column vector of the external boundary node and the auxiliary switch complex power column vector, determine the equivalent complex current column vector of the external boundary node based on the equivalent result file, and determine an admittance matrix;

[0061] 103: Determine the node voltage equation based on the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix;

[0062] 104: Determine a second complex voltage column vector of the external boundary node and a second complex power column vector flowing from the external system to the internal system based on the node voltage equation, and verify them.

[0063] In this embodiment, the power flow result file indicates a result file obtained through power flow calculation, which includes information such as the voltage value, complex power, and line load of each node in the power system.

[0064] In this embodiment, the equivalent result file is an electrical parameter file of a simplified model obtained after the power system is simplified, and includes equivalent model parameters of the external system.

[0065] In this embodiment, the equivalent complex current column vector is derived based on the voltage and power data extracted from the power flow results, and the equivalent complex current column vector is calculated based on the simplified model parameters in the equivalent result file.

[0066] In this embodiment, the node voltage equations are used to calculate the second complex voltage column vector at the external boundary nodes and the second complex power column vector flowing from the external system to the internal system. The accuracy of the equivalent model is verified by comparing the calculated results with the expected results. The second complex voltage column vector at the external boundary nodes represents the voltage state of the external system nodes, while the second complex power column vector flowing from the external system to the internal system represents the power transfer from the external system to the internal system. By verifying the matching of these two column vectors, the correctness of the external equivalent parameters is ensured.

[0067] The beneficial effects of the above technical solution are as follows: by determining the first complex voltage column vector of the external boundary node, the complex power column vector of the auxiliary switch, the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, determining the node voltage equation, determining the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system according to the node voltage equation, and verifying them, it can ensure that the simplified power system can accurately reflect the electrical characteristics of the actual power network, improve the calculation accuracy, operation flexibility and stability, effectively reduce the errors caused by simplification, improve the reliability of the equivalent process, quickly verify the correctness of the equivalent results, and improve the work efficiency of the simulation personnel.

[0068] Example 2:

[0069] An embodiment of the present invention provides a method for verifying static equivalence of a power system, wherein a power flow result file includes internal boundary node data, auxiliary switch data, and external boundary node data;

[0070] The equivalent result file includes the Norton equivalent complex current data of the external boundary nodes, the Norton equivalent complex current data of the external boundary nodes, and the node admittance data.

[0071] In this embodiment, the power flow results file contains detailed information about the power system's operating status, specifically divided into the following sections: Internal boundary node data: These nodes are located within the system and typically represent the system's primary loads and generation units. The file contains information such as voltage and power (active and reactive) at these nodes; Auxiliary switch data: Auxiliary switches are switches used to control lines, equipment, or loads within the power grid. This data records the switch's status (open or closed) and operating conditions that may affect power flow; External boundary node data: These nodes are located at the grid's boundaries and connect to external power systems or regions. The file records information such as voltage (amplitude and phase angle), active power, and reactive power at these external boundary nodes.

[0072] In this embodiment, the equivalent result file is data after simplified processing of the power system, which is usually used to accelerate the simulation and optimization analysis of large-scale power grids. Its specific contents include: Norton equivalent complex current data of external boundary nodes: the Norton equivalent current source of the external system represents the current flowing from the external power grid into the internal system through the external boundary nodes. The complex current data is usually in complex form, including active and reactive components, reflecting the current injected by the external system into the internal system; Norton equivalent complex current data of external boundary nodes: records the different states or stages of the current source equivalent model of the external boundary node; node admittance data: the admittance matrix is ​​a description of the mutual influence between power grid nodes. It represents the conductance (active part) and admittance (reactive part) between each node, as well as the mutual conductance between them. The node admittance matrix is ​​very important in power flow calculation because it is used to describe the electrical connectivity of the power grid and participates in the calculation of voltage and power flow.

[0073] The beneficial effect of the above technical solution: obtaining the power system flow result file and equivalent result file can provide data basis for determining the first complex voltage column vector of the external boundary node, the auxiliary switch complex power column vector and the internal equivalent complex current column vector.

[0074] Example 3:

[0075] An embodiment of the present invention provides a method for verifying static equivalence of a power system, which determines a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch based on a power flow result file, including:

[0076] Extract the voltage amplitude, voltage phase angle and node label of each external boundary node in the internal boundary node data of the power flow result file;

[0077] Determine a first complex voltage column vector of the external boundary nodes based on voltage amplitudes, voltage phase angles, and node labels of all external boundary nodes in the external boundary node data;

[0078] ;

[0079] ;

[0080] ;

[0081] in, represents the first complex voltage column vector of the external boundary node, They represent the real part of the voltage of the external boundary nodes labeled 1, i, and N, respectively. They represent the imaginary part of the voltage of the external boundary nodes with the external boundary node label 1, the external boundary node label i, and the external boundary node label N, respectively. represents the voltage amplitude of the external boundary node with the label i, represents the voltage phase angle of the external boundary node with the external boundary node label i, j represents the imaginary unit, N represents the number of external boundary nodes, Represents vector transpose;

[0082] Extract the active power, reactive power, and label of each auxiliary switch from the auxiliary switch data in the power flow result file. The nodes on both sides of the auxiliary switch are internal boundary nodes and external boundary grounding, respectively. The power direction is positive when it flows from the external boundary node to the internal boundary node.

[0083] Determine an auxiliary switch complex power column vector based on all auxiliary switch active powers, auxiliary switch reactive powers, and auxiliary switch labels;

[0084] ;

[0085] in, represents the auxiliary switch complex power column vector, They represent the active power of the auxiliary switches with auxiliary switch labels 1, i, and N, respectively. They represent the reactive power of the auxiliary switches with auxiliary switch labels 1, i, and N, respectively.

[0086] In this embodiment, the voltage amplitude represents the voltage intensity of each node, and the phase angle represents the phase shift of the voltage.

[0087] In this embodiment, the internal node label means that each node generally has a unique identifier (label) for distinguishing different nodes.

[0088] In this embodiment, the first complex voltage column vector of the external boundary nodes is determined by the voltage amplitudes, phase angles, and labels of all internal nodes. A complex vector can be constructed using these data.

[0089] In this embodiment, represent the complex voltages of the internal nodes labeled 1, i, and N, respectively.

[0090] In this embodiment, They represent the complex powers of internal nodes with internal node labels of 1, i, and N, respectively.

[0091] In this embodiment, active power is the power actually transmitted in the power system, while reactive power is related to the generation and maintenance of the electromagnetic field in the power system.

[0092] In this embodiment, a complex power column vector may be constructed based on the active power, reactive power, and labels of all internal nodes.

[0093] In this embodiment, the nodes on both sides of the auxiliary switch are an internal boundary node and an external boundary node. The auxiliary switch label is N, and the labels of the nodes on both sides are also N.

[0094] In this embodiment, the positive direction of the auxiliary switch P and Q is when the current flows from the external boundary node to the internal boundary node.

[0095] The beneficial effects of the above technical solution are as follows: by determining the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch based on the power flow result file, the distribution of voltage and power inside the system can be fully described, the accuracy of power system analysis can be improved, and stronger data support can be provided for static equivalence verification of the power system.

[0096] Example 4:

[0097] An embodiment of the present invention provides a method for verifying static equivalence of a power system, which determines an internal equivalent complex current column vector based on a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch, including:

[0098] Determine an internal equivalent complex current of each external boundary node based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch;

[0099] ;

[0100] in, represents the internal equivalent complex current of the external boundary node labeled i, The conjugate complex number representing the ratio of the complex power of the boundary branch labeled i to the complex voltage of the external boundary node labeled i;

[0101] determining an internal equivalent complex current column vector based on the internal equivalent complex currents of all external boundary nodes;

[0102] ;

[0103] in, represents the internal equivalent complex current column vector, They represent the internal equivalent complex currents of the external boundary nodes labeled 1 and N, respectively.

[0104] In this embodiment, the internal node complex current is determined based on the voltage and power data of the corresponding node.

[0105] In this embodiment, the first complex voltage column vector of the external boundary nodes is a complex vector consisting of the voltage amplitudes and phase angles of all internal nodes, describing the voltage distribution.

[0106] In this embodiment, the auxiliary switch complex power column vector is a complex vector consisting of the active and reactive powers of all internal nodes, and describes the distribution of system power.

[0107] In this embodiment, the internal equivalent complex current column vector is a vector formed by the complex current data set of all internal nodes, representing the current distribution of all internal nodes in the entire system.

[0108] The beneficial effects of the above technical solution are as follows: determining the internal equivalent complex current column vector based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch can improve the efficiency of power system analysis and provide more reliable data support and decision-making basis for static equivalent verification of the power system.

[0109] Example 5:

[0110] An embodiment of the present invention provides a static equivalent verification method for a power system, which determines an equivalent complex current column vector of an external boundary node based on an equivalent result file, including:

[0111] Extract the Norton equivalent current amplitude and Norton equivalent current phase angle of each external boundary node in the Norton equivalent complex current data of the external boundary node in the equivalent result file;

[0112] Determine the Norton equivalent complex current of each external boundary node based on the Norton equivalent current amplitude and the Norton equivalent current phase angle of each external boundary node;

[0113] Determine the external boundary node equivalent complex current column vector based on the Norton equivalent complex currents of all external boundary nodes and the external boundary node labels, wherein the boundary node equivalent complex current has the positive direction of the inflow node as the positive direction;

[0114] ;

[0115] in, represents the equivalent complex current column vector of the external boundary nodes, They represent the Norton equivalent complex currents of the external boundary nodes labeled 1, k, and N, respectively, where N represents the number of external boundary nodes.

[0116] In this embodiment, the Norton equivalent current amplitude and the Norton equivalent current phase angle of the sub-external boundary nodes of each external boundary node are extracted by analyzing the equivalent result file.

[0117] In this embodiment, the Norton equivalent current amplitude and the Norton equivalent current phase angle are combined to determine the complex voltage, and the power (including active power and reactive power) is used to construct the complex power.

[0118] In this embodiment, an external boundary node current column vector is determined based on the complex voltage, the complex power, and the node label, representing the distribution of currents at the external boundary nodes in the system.

[0119] The beneficial effects of the above technical solution are as follows: determining the equivalent complex current column vector of the external boundary node based on the equivalent result file can improve the calculation accuracy and provide a data basis for determining the node voltage equation.

[0120] Example 6:

[0121] An embodiment of the present invention provides a method for verifying static equivalence of a power system, which determines an admittance matrix based on an equivalence result file, including:

[0122] Extract the branch admittance between every two external boundary nodes and the ground admittance of each external boundary node in the node admittance data;

[0123] Determine the external admittance matrix based on all branch admittances and all ground admittances;

[0124] ;

[0125] ;

[0126] in, represents the external boundary node admittance matrix, They represent the mutual admittance between the first external boundary node and the jth external boundary node, and the mutual admittance between the first external boundary node and the Nth external boundary node, respectively. They represent the mutual admittance between the ith external boundary node and the 1st external boundary node, and the mutual admittance between the ith external boundary node and the Nth external boundary node, respectively. They represent the mutual admittance between the Nth external boundary node and the 1st external boundary node, and the mutual admittance between the Nth external boundary node and the jth external boundary node, respectively. They represent the self-admittance of the first external boundary node, the self-admittance of the i-th external boundary node, and the self-admittance of the N-th external boundary node, respectively. represents the branch admittance of the i-th external boundary node and the k-th external boundary node, represents the ground admittance of the i-th external boundary node, and N represents the number of external boundary nodes.

[0127] In this embodiment, admittance data between external boundary nodes is extracted, including the inter-node admittance between every two external boundary nodes and the ground admittance of each external boundary node. The admittance reflects the electrical coupling characteristics between nodes and between a node and the ground.

[0128] In this embodiment, based on the external branch admittance and the admittance to ground, combined with the electrical relationship between external boundary nodes, the self-admittance of each external boundary node is calculated to represent the response of the node to the external current and voltage.

[0129] In this embodiment, the equivalent current source parameters of each external boundary node are extracted from the Norton equivalent method, and the Norton admittance of each external boundary node is then calculated.

[0130] In this embodiment, the external admittance matrix of the entire system is constructed by using the self-admittance, branch admittance and Norton admittance of the external boundary nodes to represent the electrical characteristics of the external power grid.

[0131] In this embodiment, a similar approach is adopted to extract the inter-node admittance, node self-admittance, and ground admittance of the internal network of the power system, and an internal admittance matrix is ​​constructed based on these data to represent the internal electrical coupling of the system.

[0132] In this embodiment, the external admittance matrix and the internal admittance matrix are integrated to finally obtain the total admittance matrix of the entire power system.

[0133] The beneficial effects of the above technical solution are as follows: determining the admittance matrix based on the equivalent result file can provide a data basis for determining the node voltage equation, thereby improving the accuracy and efficiency of power system analysis and improving the reliability of the equivalent process.

[0134] Example 7:

[0135] An embodiment of the present invention provides a method for verifying static equivalence of a power system, which determines a node voltage equation based on an internal equivalent complex current column vector, an external boundary node equivalent complex current column vector, and an admittance matrix, including:

[0136] ;

[0137] in, represents the second complex voltage column vector of the external boundary node, represents the equivalent complex current column vector of the external boundary nodes, represents the internal equivalent complex current column vector.

[0138] In this embodiment, the static equivalence process of the power system is verified by calculating the node voltage and the current vector of the power flow. This method ensures that the static equivalence can maintain voltage stability and power flow characteristics while simplifying the power system model.

[0139] The beneficial effects of the above technical solution are as follows: based on the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector and the admittance matrix, the node voltage equation is determined, which can optimize the equalization process of the power system, simplify the system and improve the calculation efficiency while ensuring the stability of the power grid, and provide more accurate and efficient support for the scheduling and optimization of large-scale power grids.

[0140] Example 8:

[0141] An embodiment of the present invention provides a method for verifying static equivalence of a power system. The method determines a second complex voltage column vector of an external boundary node and a second complex power column vector of an external system flowing into an internal system based on a node voltage equation, and performs verification, including:

[0142] Solve the node voltage equation to determine the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system ;

[0143] ;

[0144] ;

[0145] in, represents the external boundary node admittance matrix The inverse matrix of The separate tables represent the conjugate complex numbers of the 1st, i-th, and N-th internal equivalent complex currents;

[0146] Determine whether the first complex voltage column vector of the external boundary node and the second complex voltage column vector of the external boundary node are equal, determine whether the auxiliary switch complex power column vector and the second complex power column vector are equal, and determine the correctness of the external equivalent parameters in the equivalent result file based on the judgment result.

[0147] In this embodiment, based on power system power flow analysis, the node voltage equations of the power system are solved to obtain node voltage values. After solving the node voltages, a second complex voltage column vector is determined for the external boundary nodes, representing the voltage state of the external boundary nodes. Simultaneously, a second complex power column vector is determined, representing the power transfer from the external system to the internal system.

[0148] In this embodiment, the first complex voltage column vector is compared with the second complex voltage column vector of the external boundary node to see if they are equal, and the complex power column vector is checked to see if it is equal to the inflow complex power column vector, thereby ensuring the consistency of external voltage and power transmission. The comparison formula is as follows: ; .

[0149] In this embodiment, the correctness of the external equivalent parameters is determined based on the judgment result, and it is verified whether the power system equivalent process accurately reflects the real electrical characteristics of the system.

[0150] The beneficial effects of the above technical solution are as follows: based on the node voltage equation, the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system are determined and verified, which can efficiently detect possible errors or inconsistencies in the power system, ensure that the simplified power system can accurately reflect the electrical characteristics of the actual power network, improve calculation accuracy and operational flexibility, effectively reduce errors caused by simplification, and improve the reliability of the equivalence process.

[0151] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, i.e., they may be located in one location or distributed across multiple network units. Some or all of the modules may be selected based on actual needs to achieve the objectives of the present embodiment. Persons of ordinary skill in the art will be able to understand and implement the present invention without inventive effort.

[0152] Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment can be implemented using software plus a necessary general-purpose hardware platform, or of course, hardware. Based on this understanding, the essence of the above technical solution, or the portion that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, a magnetic disk, or an optical disk, and includes a number of instructions for causing a computer device (such as a personal computer, server, or network device) to execute the methods described in each embodiment or certain portions of the embodiments.

[0153] 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 it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the various embodiments of the present invention.

Claims

1. A method for verifying static equivalence of a power system, characterized in that: include: 101: Obtain a power flow result file and an equivalent result file of the power system, and determine a first complex voltage column vector of an external boundary node and a complex power column vector of an auxiliary switch based on the power flow result file; 102: Determine an internal equivalent complex current column vector based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch, and determine an external boundary node equivalent complex current column vector based on an equivalent result file; the equivalent result file includes Norton equivalent complex current data of the external boundary node, Norton equivalent complex current data of the external boundary node, and node admittance data; Extracting the branch admittance between every two external boundary nodes and the ground admittance of each external boundary node from the node admittance data; Determine the external admittance matrix based on all branch admittances and all ground admittances; ; ; in, represents the external boundary node admittance matrix, They represent the mutual admittance between the first external boundary node and the jth external boundary node, and the mutual admittance between the first external boundary node and the Nth external boundary node, respectively. They represent the mutual admittance between the ith external boundary node and the 1st external boundary node, and the mutual admittance between the ith external boundary node and the Nth external boundary node, respectively. They represent the mutual admittance between the Nth external boundary node and the 1st external boundary node, and the mutual admittance between the Nth external boundary node and the jth external boundary node, respectively. They represent the self-admittance of the first external boundary node, the self-admittance of the i-th external boundary node, and the self-admittance of the N-th external boundary node, respectively. represents the branch admittance of the i-th external boundary node and the k-th external boundary node, represents the ground admittance of the i-th external boundary node, and N represents the number of external boundary nodes; 103: Determine a node voltage equation based on the internal equivalent complex current column vector, the external boundary node equivalent complex current column vector, and the admittance matrix; the node voltage equation is: ; in, represents the second complex voltage column vector of the external boundary node, represents the equivalent complex current column vector of the external boundary nodes, represents the internal equivalent complex current column vector; 104: Solve the node voltage equation and determine the second complex voltage column vector of the external boundary node and the second complex power column vector flowing from the external system to the internal system ; ; ; in, represents the external boundary node admittance matrix The inverse matrix of The separate tables represent the conjugate complex numbers of the 1st, i-th, and N-th internal equivalent complex currents; Determine whether the first complex voltage column vector of the external boundary node and the second complex voltage column vector of the external boundary node are equal, determine whether the auxiliary switch complex power column vector and the second complex power column vector are equal, and determine the correctness of the external equivalent parameters in the equivalent result file based on the judgment result.

2. A method for verifying static equivalence of a power system according to claim 1, characterized in that: The power flow result file includes internal boundary node data, auxiliary switch data, and external boundary node data.

3. A method for verifying static equivalence of a power system according to claim 1, characterized in that: Determining the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch based on the power flow result file includes: Extract the voltage amplitude, voltage phase angle and node label of each external boundary node in the internal boundary node data of the power flow result file; Determine a first complex voltage column vector of the external boundary nodes based on voltage amplitudes, voltage phase angles, and node labels of all external boundary nodes in the external boundary node data; Extract the active power, reactive power, and label of each auxiliary switch from the auxiliary switch data in the power flow result file. The nodes on both sides of the auxiliary switch are internal boundary nodes and external boundary grounding, respectively. The power direction is positive when it flows from the external boundary node to the internal boundary node. An auxiliary switch complex power column vector is determined based on all auxiliary switch active powers, auxiliary switch reactive powers, and auxiliary switch labels.

4. A method for verifying static equivalence of a power system according to claim 1, characterized in that: Determining an internal equivalent complex current column vector based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch includes: Determine an internal equivalent complex current of each external boundary node based on the first complex voltage column vector of the external boundary node and the complex power column vector of the auxiliary switch; ; in, represents the internal equivalent complex current of the external boundary node labeled i, The conjugate complex number representing the ratio of the complex power of the boundary branch labeled i to the complex voltage of the external boundary node labeled i; determining an internal equivalent complex current column vector based on the internal equivalent complex currents of all external boundary nodes; ; in, represents the internal equivalent complex current column vector, They represent the internal equivalent complex currents of the external boundary nodes labeled 1 and N, respectively.

5. A method for verifying static equivalence of a power system according to claim 2, characterized in that: Determine the equivalent complex current column vectors of the external boundary nodes based on the equivalent result file, including: Extract the Norton equivalent current amplitude and Norton equivalent current phase angle of each external boundary node in the Norton equivalent complex current data of the external boundary node in the equivalent result file; Determine the Norton equivalent complex current of each external boundary node based on the Norton equivalent current amplitude and the Norton equivalent current phase angle of each external boundary node; Determine the external boundary node equivalent complex current column vector based on the Norton equivalent complex currents of all external boundary nodes and the external boundary node labels, wherein the boundary node equivalent complex current has the positive direction of the inflow node as the positive direction; ; in, represents the equivalent complex current column vector of the external boundary nodes, They represent the Norton equivalent complex currents of the external boundary nodes labeled 1, k, and N, respectively, where N represents the number of external boundary nodes.

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