CN113258575A - Method for calculating regulation sensitivity of static voltage stability index of alternating current-direct current interconnection node - Google Patents

Method for calculating regulation sensitivity of static voltage stability index of alternating current-direct current interconnection node Download PDF

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CN113258575A
CN113258575A CN202110599536.XA CN202110599536A CN113258575A CN 113258575 A CN113258575 A CN 113258575A CN 202110599536 A CN202110599536 A CN 202110599536A CN 113258575 A CN113258575 A CN 113258575A
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CN113258575B (en
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贠志皓
马开刚
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Shandong University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30—Reactive power compensation

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Abstract

The invention provides a method for calculating the regulation sensitivity of a static voltage stability index of an AC/DC interconnected node, which is used for identifying multi-port equivalent parameters of the AC/DC interconnected node; solving a reduced-order Jacobian matrix according to different direct current operation modes, carrying out singular value decomposition on the matrix, and determining the minimum singular value index of the alternating current-direct current interconnection node; and representing a voltage stability index at the AC-DC interconnection node by using the minimum singular value of the reduced-order Jacobian matrix, calculating the regulation sensitivity of the regulation measure to the minimum singular value according to the minimum singular value of the matrix, calculating the sensitivity of the regulation measure to the power supply voltage amplitude and the phase angle of the multi-port equivalent circuit, and further determining the sensitivity relation of the regulation measure to the minimum singular value of the reduced-order Jacobian matrix corresponding to the interconnection node. The invention can ensure that the calculated regulation sensitivity is regulated and controlled to meet the precision requirement under each section.

Description

Method for calculating regulation sensitivity of static voltage stability index of alternating current-direct current interconnection node
Technical Field
The invention belongs to the technical field of prevention, control and optimization of an alternating-current and direct-current interconnected power grid, and particularly relates to a method for calculating the regulation sensitivity of a static voltage stability index of an alternating-current and direct-current interconnected node.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
A prevention control optimization model is established for an AC/DC interconnected power grid, a quantitative mapping relation between a static voltage stability index and a regulation and control measure needs to be obtained, AC/DC interconnected nodes serve as key nodes of the AC/DC interconnected large power grid, a corresponding AC system can form a dimensionality reduction equivalent circuit through multi-port equivalence, and the static voltage stability index is the minimum singular value of a reduced-order Jacobian matrix of the corresponding equivalent system. According to the knowledge of the inventor, the quantitative analysis relation of the minimum singular value of the reduced-order Jacobian matrix of the equivalent system corresponding to the regulation measure and the alternating-current and direct-current interconnection nodes cannot be confirmed at present, and the quick calculation of the regulation sensitivity cannot be realized.
Disclosure of Invention
The invention provides a method for calculating the regulation sensitivity of the static voltage stability index of the AC/DC interconnected node, aiming at solving the problems, and the method can determine the quantitative analysis relation of the minimum singular value of the reduced-order Jacobian matrix of an equivalent system corresponding to the regulation measure and the AC/DC interconnected node, realize the quick calculation of the regulation sensitivity and lay a theoretical foundation for the subsequent prevention and control optimization.
According to some embodiments, the invention adopts the following technical scheme:
a method for calculating the regulation sensitivity of a static voltage stability index of an alternating current-direct current interconnection node comprises the following steps:
identifying equivalent parameters of multiple ports of the AC/DC interconnected node;
solving a reduced-order Jacobian matrix according to different direct current operation modes, carrying out singular value decomposition on the matrix, and determining the minimum singular value index of the alternating current-direct current interconnection node;
and representing a voltage stability index at the AC-DC interconnection node by using the minimum singular value of the reduced-order Jacobian matrix, calculating the regulation sensitivity of the regulation measure to the minimum singular value according to the minimum singular value of the matrix, calculating the sensitivity of the regulation measure to the power supply voltage amplitude and the phase angle of the multi-port equivalent circuit, and further determining the sensitivity relation of the regulation measure to the minimum singular value of the reduced-order Jacobian matrix corresponding to the interconnection node.
As an alternative embodiment, the specific process for identifying the multi-port equivalent parameters of the alternating current-direct current interconnection node comprises the following steps: the equivalent of the PV node and the balance node is used as a voltage source, after the equivalent processing of the PV node and the balance node, a node impedance matrix of the multi-port simplified equivalent circuit is obtained based on a node impedance matrix and a node incidence matrix of the system, equivalent impedance is obtained through a node admittance matrix of the multi-port simplified equivalent circuit, equivalent potential is obtained by utilizing the relation of port voltage and current, and in the calculation process, the equivalent model power supply voltage is calculated according to the open-circuit voltage of the multi-port circuit and the impedance correlation weighting accumulation among the nodes.
As an alternative implementation, the specific process of determining the minimum singular value index of the ac/dc interconnection node includes: based on the equivalent circuit, solving a reduced-order Jacobian matrix according to different direct current operation modes, and performing singular value decomposition on the reduced-order Jacobian matrix, wherein the Jacobian matrix is singular at a voltage collapse point and has a zero singular value; and the distance from the AC/DC interconnection node to the static voltage stability limit point is represented by using the minimum singular value of a reduced-order Jacobian matrix of the equivalent circuit.
As an alternative embodiment, the specific process of calculating the sensitivity of the regulation and control measure to the minimum singular value according to the minimum singular value of the matrix includes: determining a matrix minimum singular value and a left singular vector relation equation corresponding to the matrix minimum singular value, performing derivation on corresponding regulation and control measures by two sides of the relation equation, transposing two sides of the derived relation equation, and multiplying the left singular vector by the right, so as to obtain the regulation and control sensitivity of the corresponding regulation and control measures to the minimum singular value through calculation.
As an alternative embodiment, the specific process of calculating the sensitivity of the regulation measure to the reduced jacobian matrix includes: and calculating the sensitivity of the regulating quantity to the open-circuit voltage, directly obtaining the direct current power part in the regulating quantity according to different direct current control modes, taking the alternating current power part as a regulating measure, and further calculating the sensitivity of the regulating measure and the equivalent potential of the multi-port equivalent circuit.
As an alternative embodiment, the specific process for calculating the sensitivity of the regulation measure to the amplitude and the phase angle of the power supply voltage of the multi-port equivalent circuit comprises the following steps: and according to the sensitivity of the regulation measure and the equivalent potential of the multi-port equivalent circuit, the relation between the amplitude and the phase angle of the power supply voltage of the equivalent circuit and the real part and the imaginary part is combined, and the regulation measure is derived to obtain the sensitivity of the regulation measure to the amplitude and the phase angle of the power supply voltage of the equivalent circuit.
A system for calculating the regulation sensitivity of static voltage stability indexes of alternating current-direct current interconnected nodes comprises:
the parameter identification module is configured to identify equivalent parameters of multiple ports of the AC/DC interconnection node;
the minimum singular value index determining module is configured to calculate a reduced-order Jacobian matrix according to different direct current operation modes, perform singular value decomposition on the matrix and determine a minimum singular value index of the alternating current-direct current interconnection node;
the sensitivity relation determining module is configured to represent a voltage stability index at the AC-DC interconnection node by adopting a minimum singular value of the reduced-order Jacobian matrix, calculate the regulation sensitivity of the regulation measure to the minimum singular value according to the minimum singular value of the matrix, calculate the sensitivity of the regulation measure to the power supply voltage amplitude and the phase angle of the multi-port equivalent circuit, and further determine the sensitivity relation of the regulation measure to the minimum singular value of the reduced-order Jacobian matrix corresponding to the interconnection node.
A computer readable storage medium stores a plurality of instructions, and the instructions are suitable for being loaded by a processor of a terminal device and executing the steps of the alternating current-direct current interconnection node static voltage stability index regulation and control sensitivity calculation method.
A terminal device comprising a processor and a computer readable storage medium, the processor being configured to implement instructions; the computer-readable storage medium is used for storing a plurality of instructions, and the instructions are suitable for being loaded by a processor and executing the steps of the method for calculating the regulation and control sensitivity of the static voltage stability index of the alternating current-direct current interconnection node.
Compared with the prior art, the invention has the beneficial effects that:
according to the method, the maximum value of the relative error percentage between the regulated minimum singular value obtained by directly calculating the regulation sensitivity and the regulated minimum singular value obtained by calculating the load flow is obtained, the minimum singular value is high in precision after the regulation according to the calculation, and the calculated regulation sensitivity can be guaranteed to be regulated and controlled to meet the precision requirement under each section.
In order to make the aforementioned and other objects, features and advantages of the present invention comprehensible, preferred embodiments accompanied with figures are described in detail below.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification, illustrate exemplary embodiments of the invention and together with the description serve to explain the invention and not to limit the invention.
FIG. 1 is a schematic diagram of a multi-port equivalent simplified AC/DC system;
FIG. 2 is a schematic diagram of a minimum singular value regulation error of different power flow sections.
The specific implementation mode is as follows:
the invention is further described with reference to the following figures and examples.
It is to be understood that the following detailed description is exemplary and is intended to provide further explanation of the invention as claimed. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
A method for calculating the regulation sensitivity of a static voltage stability index of an alternating current-direct current interconnection node comprises the following steps:
(1) AC/DC interconnection node static voltage stability assessment
(1.1) AC/DC interconnection node multi-port equivalent parameter identification method
The parameters to be solved for the multi-port simplified equivalent circuit include the equivalent impedance z in the circuit shown in FIG. 1thSum of equivalent powerPotential Eth. Analysis of the existing power network (Zubeming, Chenshou, Severe, high-class) [ M]The university of qinghua publisher, 2007) knows that the solution idea is to obtain the node impedance matrix Z of the multi-port simplified equivalent circuit based on the node impedance matrix and the node correlation matrix of the original systempeThen obtaining equivalent impedance z through a node admittance matrix of the multi-port simplified equivalent circuitthFinally, the equivalent potential E is obtained by utilizing the relation of port voltage and currentth。
In the calculation, the equivalent value of the PV node and the balance node is taken as a current source, and the voltage supporting effect of the PV node on the port node in the equivalent network cannot be considered. After the PV node and the balance node are subjected to equivalence processing, an equivalent circuit node impedance matrix Z is obtained through recalculationpeSo as to obtain the equivalent impedance zth。
For the single-port equivalent parameter, the open-circuit voltage of the port is the power supply voltage in the equivalent model, but because impedance interconnection exists among all ports in the multi-port equivalent model, the open-circuit voltage of the multi-port is not equal to the power supply voltage in the equivalent model any more, so that errors exist in the power supply voltage in the equivalent model obtained by utilizing the prior art. The invention calculates the equivalent model power supply voltage according to the open circuit voltage of the multi-port circuit and the impedance correlation weighting accumulation among nodes to improve the accuracy of equivalent parameters, and the specific calculation is as follows:
supply voltage for multi-port equivalent circuit
Figure BDA0003092270100000061
Figure BDA0003092270100000062
In the formula, Y is a node admittance matrix of a simplified alternating current-direct current interconnected power grid;
Figure BDA0003092270100000063
open circuit voltage of the port.
(2) Minimum singular value index of AC/DC interconnection node
For the equivalent circuit shown in FIG. 1, the reduced-order Jacobian matrix is obtained by the same method as the original system according to different direct current operation modes
Figure BDA0003092270100000071
To JcdSingular value decomposition is carried out:
Figure BDA0003092270100000072
in the formula, ndThe order of the reduced-order Jacobian matrix is obtained; the matrix V, U being nd×ndA dimension unit orthogonal matrix;
Figure BDA0003092270100000073
as positive singular value σiA diagonal matrix is formed; left and right singular phasors
Figure BDA0003092270100000074
Figure BDA0003092270100000075
Is the ith column vector of matrix V, U.
The jacobian matrix is singular at the voltage collapse point, with a zero singular value. Thus, the present invention employs a reduced-order Jacobian matrix J of the equivalent circuit shown in FIG. 1cdMinimum singular value δ ofminThe distance between the AC/DC interconnection node and the static voltage stable limit point is shown.
(3) Derivation of sensitivity relation of regulation and control measures to static voltage stability indexes of interconnected nodes
And the voltage stability index at the AC-DC interconnection node is represented by the minimum singular value of the reduced-order Jacobian matrix. In order to obtain the sensitivity relation of the regulation measures to the voltage stability indexes of the interconnected nodes, the regulation sensitivity of the minimum singular value of the reduced-order Jacobian matrix is deduced by using the thought of the regulation sensitivity of the minimum singular value of the alternating current system.
Minimum singular value delta of matrixminAnd corresponding theretoLeft singular vector
Figure BDA0003092270100000076
The following relationship is satisfied:
Figure BDA0003092270100000077
in the formula (I), the compound is shown in the specification,
Figure BDA0003092270100000078
is a reduced-order Jacobian matrix of the equivalent circuit shown in FIG. 1, ndIs the dimension of the reduced jacobian matrix.
The j-th regulation and control measure r on two sides of the formula (1-3)jThe derivation yields the following formula:
Figure BDA0003092270100000079
transposing two sides of the formula (1-4) and right-multiplying the left singular vector vminObtaining:
Figure BDA0003092270100000081
the last item on both sides of the formula (1-5) can be eliminated according to the formula (1-3), and a regulation measure r is obtainedjFor the minimum singular value deltaminThe regulation sensitivity of (2):
Figure BDA0003092270100000082
reduced-order Jacobian matrix JcdCan be directly formed according to the flow section data and the multi-port equivalent parameters of the equivalent circuit shown in figure 1. Minimum singular value deltaminAnd its corresponding left singular vector vminThrough JcdThe singular value decomposition of (a) can be obtained directly. Sensitivity of regulatory measures to reduced-order jacobian matrices
Figure BDA0003092270100000083
Different from the sensitivity solution of the Jacobian matrix of the original system to the regulation and control measures, the node impedance matrix Z corresponding to the multi-port equivalent circuitpeOnly related to network structure, and the power supply voltage of equivalent circuit is kept unchanged before and after regulation
Figure BDA0003092270100000084
Related to regulatory measures. Sensitivity of a reduced-order Jacobian matrix for determining a control measure
Figure BDA0003092270100000085
The equivalent potential of a regulation measure and a multi-port equivalent circuit needs to be firstly obtained
Figure BDA0003092270100000086
Sensitivity of (2)
Figure BDA0003092270100000087
From the formula (1-1), it is desired to
Figure BDA0003092270100000088
The control quantity to the open-circuit voltage needs to be firstly obtained
Figure BDA0003092270100000089
Sensitivity of (2)
Figure BDA00030922701000000810
Open circuit voltage of port i
Figure BDA00030922701000000811
Figure BDA00030922701000000812
In the formula (I), the compound is shown in the specification,
Figure BDA0003092270100000091
is the voltage phasor at the port inode;
Figure BDA0003092270100000092
as a node impedance matrix ZpeRow i and column j elements;
Figure BDA0003092270100000093
the active and reactive power, voltage magnitude and phase angle for the port inode.
The open circuit voltage can be obtained from the formula (1-7)
Figure BDA0003092270100000094
Derivatives of its respective components
Figure BDA0003092270100000095
Figure BDA0003092270100000096
Figure BDA0003092270100000097
Figure BDA0003092270100000098
In the formula (I), the compound is shown in the specification,
Figure BDA0003092270100000099
open circuit voltage for port i
Figure BDA00030922701000000910
Derivatives of active and reactive power for each port node of the multiple ports;
Figure BDA00030922701000000911
Figure BDA00030922701000000912
is composed of
Figure BDA00030922701000000913
Derivatives of voltage amplitude and phase angle for each port node of the multiple ports; p is the number of ports; pM∈Rp×1、QM∈Rp×1、
Figure BDA00030922701000000914
The active and reactive power, voltage amplitude and phase angle of each port node;
Figure BDA00030922701000000915
as a node impedance matrix ZpeRow i of (2); the multiplication and division of the matrix in equations (1-8) -1-11 are both a dot multiplication and a dot division of elements.
Control quantity versus open circuit voltage
Figure BDA00030922701000000916
Sensitivity of (2)
Figure BDA00030922701000000917
Can be expressed as:
Figure BDA00030922701000000918
in the formula (I), the compound is shown in the specification,
Figure BDA00030922701000000919
and
Figure BDA00030922701000000920
derivatives of the voltage amplitude and the voltage phase angle of each port node corresponding to the multiple ports to the regulating measure j;
Figure BDA00030922701000000921
Figure BDA00030922701000000922
derivative of the power of the individual port nodes to the control measure j, wherein the DC power is partially dependent on the differenceThe direct current control mode of (1) is directly obtained, and the alternating current power part can be used as a regulation measure, so that the corresponding regulation part is directly set to be 1.
Deriving the supply voltage of the regulating measure to port i from equation (1-1)
Figure BDA0003092270100000101
Sensitivity of (2)
Figure BDA0003092270100000102
Figure BDA0003092270100000103
The relationship between the amplitude and the phase angle of the equivalent circuit power supply voltage and the real part and the imaginary part is expressed as follows:
Figure BDA0003092270100000104
Figure BDA0003092270100000105
the square addition of the formula (1-14) and the formula (1-15) is carried out, and then the derivation of the regulating measure j can obtain the sensitivity of the regulating measure to the amplitude value of the power supply voltage of the equivalent circuit
Figure BDA0003092270100000106
Figure BDA0003092270100000107
In the formula (I), the compound is shown in the specification,
Figure BDA0003092270100000108
the real and imaginary parts of the equipotential.
Dividing the formula (1-14) by the formula (1-15), and then deriving the regulating measure j to obtain the value of the regulating measure to the power supply voltage of the equivalent circuitAngular sensitivity
Figure BDA0003092270100000109
Figure BDA00030922701000001010
Sensitivity of regulation measure to amplitude and phase angle of multi-port equivalent circuit power supply voltage
Figure BDA00030922701000001011
Then, the sensitivity of the regulation measure to the reduced-order Jacobian matrix can be obtained
Figure BDA00030922701000001012
To obtain
Figure BDA00030922701000001013
Then, r can be obtained according to the formula (1-6)jFor minimum singular value delta of reduced-order Jacobian matrixminControl sensitivity of
Figure BDA00030922701000001014
Minimum singular value delta 'of regulated and controlled reduced-order Jacobian matrix'minIt can be simplified to a linear expression represented by the following formula.
Figure BDA0003092270100000111
In the formula (I), the compound is shown in the specification,
Figure BDA0003092270100000112
is composed of
Figure BDA0003092270100000113
And forming a sensitivity matrix of the regulation measure to the minimum singular value.
And finally, deducing the sensitivity relation of the minimum singular value of the reduced Jacobian matrix corresponding to the interconnected nodes by the regulating and controlling measures.
Adopting national styleThe accuracy of the minimum singular value regulation sensitivity of the reduced-order Jacobian matrix of the equivalent circuit shown in the figure 1 is verified by the online data. Substituting the identified multi-port equivalent parameters into the AC/DC equivalent system shown in FIG. 1, calculating the minimum singular value of the reduced-order Jacobian matrix, and then obtaining the minimum singular value delta of the reduced-order Jacobian matrix by using the formula (1-6)minTo rjControl sensitivity of
Figure BDA0003092270100000114
The control sensitivity obtained by calculating the minimum singular value variation of the regulated power flow and the control sensitivity obtained by applying the formula (1-6) are shown in table 1, wherein the control measures are analyzed by taking the voltage regulation and reactive compensation of the generator as examples.
TABLE 1 minimum singular value modulation sensitivity error
Figure BDA0003092270100000115
It can be seen from table 1 that the control sensitivity of the minimum singular value obtained by load flow calculation is substantially consistent with the control sensitivity obtained by calculation using the formula (1-6), and the accuracy of calculating the control sensitivity of the minimum singular value of the reduced jacobian matrix using the formula (1-6) is proved.
In order to verify the actual accuracy of regulation and control according to the regulation and control sensitivity of the minimum singular value, the power of all PQ nodes in national regulation online data is increased by taking 0.04 as a step length according to the proportion of the current section to obtain 10 tidal sections, wherein the PV nodes distribute the increased power according to the proportion of the current section. Under each tidal current section, the 50 regulation and control measures with the maximum regulation and control sensitivity are randomly regulated and controlled within the regulation and control range, and random regulation and control are applied for 10 times. The maximum value of the percentage of relative error between the regulated minimum singular value obtained by direct calculation of the regulation sensitivity and the regulated minimum singular value obtained by load flow calculation is shown in fig. 2.
As can be seen from fig. 2, the minimum singular value after regulation, which is calculated by the formula (1-6), has very high precision after regulation. With the increase of section load, the error is slightly increased, but the maximum value is still less than 2%, which indicates that the regulation sensitivity calculated by the formula (1-6) is adopted for regulation and control to meet the precision requirement of each section.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, it is not intended to limit the scope of the present invention, and it should be understood by those skilled in the art that various modifications and variations can be made without inventive efforts by those skilled in the art based on the technical solution of the present invention.

Claims (9)

1. A method for calculating the regulation sensitivity of a static voltage stability index of an AC-DC interconnection node is characterized by comprising the following steps: the method comprises the following steps:
identifying equivalent parameters of multiple ports of the AC/DC interconnected node;
solving a reduced-order Jacobian matrix according to different direct current operation modes, carrying out singular value decomposition on the matrix, and determining the minimum singular value index of the alternating current-direct current interconnection node;
and representing a voltage stability index at the AC-DC interconnection node by using the minimum singular value of the reduced-order Jacobian matrix, calculating the regulation sensitivity of the regulation measure to the minimum singular value according to the minimum singular value of the matrix, calculating the sensitivity of the regulation measure to the power supply voltage amplitude and the phase angle of the multi-port equivalent circuit, and further determining the sensitivity relation of the regulation measure to the minimum singular value of the reduced-order Jacobian matrix corresponding to the interconnection node.
2. The method for calculating the regulation sensitivity of the static voltage stability index of the AC-DC interconnection node as claimed in claim 1, wherein the method comprises the following steps: the specific process for identifying the multi-port equivalent parameters of the AC/DC interconnected node comprises the following steps: the equivalent of the PV node and the balance node is used as a voltage source, after the equivalent processing of the PV node and the balance node, a node impedance matrix of the multi-port simplified equivalent circuit is obtained based on a node impedance matrix and a node incidence matrix of the system, equivalent impedance is obtained through a node admittance matrix of the multi-port simplified equivalent circuit, equivalent potential is obtained by utilizing the relation of port voltage and current, and in the calculation process, the equivalent model power supply voltage is calculated according to the open-circuit voltage of the multi-port circuit and the impedance correlation weighting accumulation among the nodes.
3. The method for calculating the regulation sensitivity of the static voltage stability index of the AC-DC interconnection node as claimed in claim 1, wherein the method comprises the following steps: the specific process for determining the minimum singular value index of the AC/DC interconnected node comprises the following steps: based on the equivalent circuit, solving a reduced-order Jacobian matrix according to different direct current operation modes, and performing singular value decomposition on the reduced-order Jacobian matrix, wherein the Jacobian matrix is singular at a voltage collapse point and has a zero singular value; and the distance from the AC/DC interconnection node to the static voltage stability limit point is represented by using the minimum singular value of a reduced-order Jacobian matrix of the equivalent circuit.
4. The method for calculating the regulation sensitivity of the static voltage stability index of the AC-DC interconnection node as claimed in claim 1, wherein the method comprises the following steps: according to the minimum singular value of the matrix, the specific process for calculating the regulation sensitivity of the regulation measure to the minimum singular value comprises the following steps: determining a matrix minimum singular value and a left singular vector relation equation corresponding to the matrix minimum singular value, performing derivation on corresponding regulation and control measures by two sides of the relation equation, transposing two sides of the derived relation equation, and multiplying the left singular vector by the right, so as to obtain the regulation and control sensitivity of the corresponding regulation and control measures to the minimum singular value through calculation.
5. The method for calculating the regulation sensitivity of the static voltage stability index of the AC-DC interconnection node as claimed in claim 1, wherein the method comprises the following steps: the specific process for calculating the sensitivity of the regulation measure to the reduced-order Jacobian matrix comprises the following steps: and calculating the sensitivity of the regulating quantity to the open-circuit voltage, directly obtaining the direct current power part in the regulating quantity according to different direct current control modes, taking the alternating current power part as a regulating measure, and further calculating the sensitivity of the regulating measure and the equivalent potential of the multi-port equivalent circuit.
6. The method for calculating the regulation sensitivity of the static voltage stability index of the AC-DC interconnection node as claimed in claim 1, wherein the method comprises the following steps: the specific process of calculating the sensitivity of the regulation measure to the amplitude and the phase angle of the power supply voltage of the multi-port equivalent circuit comprises the following steps: and according to the sensitivity of the regulation measure and the equivalent potential of the multi-port equivalent circuit, the relation between the amplitude and the phase angle of the power supply voltage of the equivalent circuit and the real part and the imaginary part is combined, and the regulation measure is derived to obtain the sensitivity of the regulation measure to the amplitude and the phase angle of the power supply voltage of the equivalent circuit.
7. A computing system for regulation and control sensitivity of static voltage stability indexes of alternating current-direct current interconnected nodes is characterized in that: the method comprises the following steps:
the parameter identification module is configured to identify equivalent parameters of multiple ports of the AC/DC interconnection node;
the minimum singular value index determining module is configured to calculate a reduced-order Jacobian matrix according to different direct current operation modes, perform singular value decomposition on the matrix and determine a minimum singular value index of the alternating current-direct current interconnection node;
the sensitivity relation determining module is configured to represent a voltage stability index at the AC-DC interconnection node by adopting a minimum singular value of the reduced-order Jacobian matrix, calculate the regulation sensitivity of the regulation measure to the minimum singular value according to the minimum singular value of the matrix, calculate the sensitivity of the regulation measure to the power supply voltage amplitude and the phase angle of the multi-port equivalent circuit, and further determine the sensitivity relation of the regulation measure to the minimum singular value of the reduced-order Jacobian matrix corresponding to the interconnection node.
8. A computer-readable storage medium characterized by: the method comprises the steps of storing a plurality of instructions, wherein the instructions are suitable for being loaded by a processor of a terminal device and executing the steps of the method for calculating the regulation sensitivity of the static voltage stability index of the AC-DC interconnection node according to any one of claims 1-6.
9. A terminal device is characterized in that: the system comprises a processor and a computer readable storage medium, wherein the processor is used for realizing instructions; the computer readable storage medium is used for storing a plurality of instructions, and the instructions are suitable for being loaded by a processor and executing the steps of the regulation and control sensitivity calculation method for the static voltage stability index of the AC-DC interconnection node according to any one of claims 1-6.
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