CN113221301B - Method and device for generating stability criterion of power electronic power station - Google Patents

Method and device for generating stability criterion of power electronic power station Download PDF

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CN113221301B
CN113221301B CN202110559759.3A CN202110559759A CN113221301B CN 113221301 B CN113221301 B CN 113221301B CN 202110559759 A CN202110559759 A CN 202110559759A CN 113221301 B CN113221301 B CN 113221301B
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power
usi
power electronic
electronic power
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CN113221301A (en
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孙华东
高磊
郭强
王一鸣
许涛
宋瑞华
褚晓杰
贺静波
李亚楼
安宁
李文锋
徐式蕴
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China Electric Power Research Institute Co Ltd CEPRI
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F—ELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses a method and a device for judging stability of a power electronic power supply station, wherein the method comprises the following steps: calculating dynamic uniformity criterion of each station in the power electronic power station, and generating a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1(ii) a Calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2(ii) a Dynamic unity criterion index vector USI based on field station1And a static unity criterion index vector USI of said station2And generating a uniformity criterion of the stability of the power electronic power supply station.

Description

Method and device for generating stability criterion of power electronic power station
Technical Field
The invention relates to the technical field of power system modeling, in particular to a method and a device for judging stability of a power electronic power supply station.
Background
In recent years, the new energy power generation industry in China is rapidly developed, and the occupation ratio of power electronic power supplies represented by new energy power supplies in a power system is increasing. The existing research shows that the access of a high-proportion new energy power supply is an important reason for causing the problem of safety and stability of an electric power system. Therefore, a method for effectively evaluating the stability of the broadband oscillation of the power electronic power station is needed to provide a reasonable guidance for the parameter planning work of the power electronic power station and reduce the risk of the broadband oscillation.
In the prior art, a Short Circuit Ratio (SCR) is commonly used to analyze the relative strength of an alternating current power grid and the system stability when power electronic equipment is connected to an alternating current system, and the instability risk of the power system caused by a simple dynamic process can be represented. However, the new energy unit often has a complex dynamic process, and the existing SCR-based system stability analysis method is difficult to accurately measure the safety and stability risks that may occur in the new energy unit in the dynamic process, thereby increasing the possibility of oscillation instability of the power system due to missed judgment or misjudgment.
Therefore, a method for determining the stability of the power electronic power station needs to be provided.
Disclosure of Invention
The technical scheme of the invention provides a method and a device for determining a stability criterion of a power electronic power supply station, which aim to solve the problem of how to determine a uniformity stability criterion of the power electronic power supply station for a high-proportion power electronic power system.
In order to solve the above problems, the present invention provides a method for determining stability of a power electronic power station, where the method includes:
calculating dynamic uniformity criterion of each station in the power electronic power station, and generating a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1；
Calculating static uniformity criterion of each station in the power electronic power supply station, and generating the static uniformity of the station based on the static uniformity criterion of each stationCriterion index vector USI2；
Dynamic unity criterion index vector USI based on field station1And a static unity criterion index vector USI of said station2And generating a uniformity criterion of the stability of the power electronic power supply station.
Preferably, the static uniformity criterion of each station in the power electronic power supply station is calculated, and the static uniformity criterion index vector USI of each station is generated based on the static uniformity criterion of each station2The method comprises the following steps:
calculating equivalent impedance Z of kth power electronic power supply stationkkModulus value ofkk|：
Figure GDA0003333896420000021
Wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system;
equivalent impedance Z based on kth power electronic power stationkkModulus value ofkkI, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station k：
Figure GDA0003333896420000022
Wherein S iskRated capacity, U, of the kth power electronic power stationkRated voltage of the kth power electronic power station;
sequentially calculating static uniformity stability criteria of all power electronic power supply stations, and generating static uniformity criterion index vectors USI of the stations based on the static uniformity stability criteria of all power electronic power supply stations2：
USI2＝[USI2| station 1…USI2| station n]。
Preferably, the dynamic unification criterion of each station in the power electronic power supply station is calculated, and a dynamic unification criterion index vector USI of each station is generated based on the dynamic unification criterion of each station1The method comprises the following steps:
calculating an open-loop transfer function F of the kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Equivalent transfer function G based on kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k；
Sequentially calculating dynamic uniformity stability criteria of all power electronic power supply stations, and generating dynamic uniformity criterion index vectors USI of the stations based on the dynamic uniformity stability criteria of all power electronic power supply stations1：
USI1＝[USI1| station 1…USI1| station n]。
Preferably, the open loop transfer function G based on the remaining power systemkk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk：
Figure GDA0003333896420000031
Wherein the content of the first and second substances,
Figure GDA0003333896420000032
open loop transfer function G for power electronic power stationg(s) removing the matrix from the ith row and the jth column,
Figure GDA0003333896420000033
transfer function matrix G for new energy stations other than the current new energy stations(s) matrix after removal of ith row and jth column, gs,ijTransfer function matrix G for new energy stations other than the current new energy stations(s) row i, column j elements,
Figure GDA0003333896420000041
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix from which the element of the ith row is removed,
Figure GDA0003333896420000042
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix with the j-th column element removed.
Preferably, the k-th power electronic power station-based equivalent transfer function GeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k：
Dynamic uniformity stability criterion index USI of ijth channel in kth power electronic power station1| station k, ijExpressed as:
Figure GDA0003333896420000043
wherein sup | · | purple∞Representing the upper bound of infinite norm of an equation of a domain s, wherein channel numbers i and j meet i, and j belongs to {1,2 };
dynamic unity stability criterion USI of kth power electronic power station1| station kExpressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
Based on another aspect of the present invention, the present invention provides an apparatus for determining stability criteria of a power electronic power station, the apparatus comprising:
a computing unit for computing electricityDynamic unification criterion of each station in the power electronic power station, and dynamic unification criterion index vector USI of each station is generated based on the dynamic unification criterion of each station1(ii) a Calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2；
A result unit for determining a criterion indicator vector USI based on the dynamic unity of the stations1And a static unity criterion index vector USI of said station2And generating a uniformity criterion of the stability of the power electronic power supply station.
Preferably, the calculating unit is configured to calculate a static uniformity criterion of each station in the power electronic power supply station, and generate a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2And is also used for:
calculating equivalent impedance Z of kth power electronic power supply stationkkModulus value ofkk|：
Figure GDA0003333896420000051
Wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system;
equivalent impedance Z based on kth power electronic power stationkkModulus value ofkkI, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station k：
Figure GDA0003333896420000052
Wherein S iskRated capacity, U, of the kth power electronic power stationkRated voltage of the kth power electronic power station;
sequentially calculating static uniformity stability criteria of all power electronic power supply stations, and generating static uniformity criterion index vectors USI of the stations based on the static uniformity stability criteria of all power electronic power supply stations2：
USI2＝[USI2| station 1…USI2| station n]。
Preferably, the calculating unit is configured to calculate a dynamic uniformity criterion of each station in the power electronic power supply station, and generate a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1And is also used for:
calculating an open-loop transfer function F of the kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Equivalent transfer function G based on kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k；
Sequentially calculating dynamic uniformity stability criteria of all power electronic power supply stations, and generating dynamic uniformity criterion index vectors USI of the stations based on the dynamic uniformity stability criteria of all power electronic power supply stations1：
USI1＝[USI1| station 1…USI1| station n]。
Preferably, the computing unit is configured to: open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk：
Figure GDA0003333896420000061
Wherein the content of the first and second substances,
Figure GDA0003333896420000062
open loop transfer function G for power electronic power stationg(s) removing the matrix from the ith row and the jth column,
Figure GDA0003333896420000063
transfer function matrix G for new energy stations other than the current new energy stations(s) matrix after removal of ith row and jth column, gs,ijTransfer function matrix G for new energy stations other than the current new energy stations(s) row i, column j elements,
Figure GDA0003333896420000064
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix from which the element of the ith row is removed,
Figure GDA0003333896420000065
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix with the j-th column element removed.
Preferably, the computing unit is configured to, based on the equivalent transfer function G of the kth power electronic power supply stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k：
Dynamic uniformity stability criterion index USI of ijth channel in kth power electronic power station1| station k, ijExpressed as:
Figure GDA0003333896420000071
wherein sup | · | purple∞Representing the upper bound of infinite norm of an equation of a domain s, wherein channel numbers i and j meet i, and j belongs to {1,2 };
dynamic unity stability criterion USI of kth power electronic power station1| station kExpressed as:
USI1| station k＝min{USI1| fieldStation k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
The technical scheme of the invention provides a method and a device for judging the stability of a power electronic power supply station, wherein the method comprises the following steps: calculating dynamic uniformity criterion of each station in the power electronic power station, and generating a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1(ii) a Calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2(ii) a Station-based dynamic unity criterion index vector USI1Static unity criterion index vector USI of station and station2And generating a uniformity criterion of the stability of the power electronic power supply station. The uniformity stability criterion matrix (USI) provided by the technical scheme of the invention is a dynamic uniformity stability criterion (USI)1) And static uniformity stability criterion (USI)2) The formed two-dimensional index and the generated matrix can effectively reflect the dynamic process of the power electronic power station and the controller thereof.
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A more complete understanding of exemplary embodiments of the present invention may be had by reference to the following drawings in which:
FIG. 1 is a flow chart of a method for a power electronics power station stability criterion in accordance with a preferred embodiment of the present invention;
FIG. 2 is a schematic diagram of a simulation model of a high-scale power electronic power system according to a preferred embodiment of the present invention;
FIG. 3 is a schematic diagram of a single field station-infinity system model according to a preferred embodiment of the present invention;
FIG. 4 is a power electronic power station W according to a preferred embodiment of the present invention15A time domain simulation graph;
FIG. 5 is a power electronic power station W according to a preferred embodiment of the present invention16A time domain simulation graph; and
fig. 6 is a diagram illustrating an apparatus for determining stability criteria of a power electronic power station according to a preferred embodiment of the present invention.
Detailed Description
The exemplary embodiments of the present invention will now be described with reference to the accompanying drawings, however, the present invention may be embodied in many different forms and is not limited to the embodiments described herein, which are provided for complete and complete disclosure of the present invention and to fully convey the scope of the present invention to those skilled in the art. The terminology used in the exemplary embodiments illustrated in the accompanying drawings is not intended to be limiting of the invention. In the drawings, the same units/elements are denoted by the same reference numerals.
Unless otherwise defined, terms (including 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. Further, it will be understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense.
Fig. 1 is a flow chart of a method for determining stability criteria of a power electronic power station according to a preferred embodiment of the present invention. The prior art has conducted a great deal of research on the stability analysis of high-proportion power electronic power systems. Research shows that the stability of the power system is closely related to the violent oscillation of the output power of the power electronic power supply station. Therefore, the stability of the power electronic power station is accurately evaluated, and the method has important theoretical significance for analyzing the stability mechanism and the dynamic characteristic of a high-proportion power electronic power system. The invention provides a method for quantifying the stability of a unified stability criterion with strict control theory support, which aims to effectively judge the safety stability of a power electronic power station in a high-proportion power electronic power system.
As shown in fig. 1, the present invention provides a method for a stability criterion of a power electronic power station, the method comprising:
the invention first performs algorithm preparation. The simulation model is established based on an actual high-proportion power electronic power system, the high-proportion power electronic power system comprises a plurality of power electronic power supply stations which are boosted by transformers and then merged into an alternating current power system, and each power electronic power supply station can comprise different types of new energy power generation devices. The alternating current power system has the characteristics of high-capacity feed-in of a new energy power supply and light load of a sending end, and the system strength of the power system is weak.
The closed loop transfer function of the simulation model of the high-proportion power electronic power system is H(s), and the open loop transfer function of the power electronic power supply station is Gg(s). Open loop transfer function G for the remaining power systems(s) may be based on Gg(s) and H(s).
Step 101: calculating dynamic uniformity criterion of each station in the power electronic power station, and generating a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1；
Preferably, the dynamic unification criterion of each station in the power electronic power supply station is calculated, and the dynamic unification criterion index vector USI of each station is generated based on the dynamic unification criterion of each station1The method comprises the following steps:
calculating an open-loop transfer function F of the kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Equivalent transfer function G based on kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k；
Sequentially calculating dynamic uniformity stability criteria of all power electronic power supply stations, and generating dynamic uniformity criterion index vectors USI of the stations based on the dynamic uniformity stability criteria of all power electronic power supply stations1：
USI1＝[USI1| station 1…USI1| station n]。
Preference is given toGround based on the open loop transfer function G of the rest of the power systemkk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk：
Figure GDA0003333896420000101
Wherein the content of the first and second substances,
Figure GDA0003333896420000102
open loop transfer function G for power electronic power stationg(s) removing the matrix from the ith row and the jth column,
Figure GDA0003333896420000103
transfer function matrix G for new energy stations other than the current new energy stations(s) matrix after removal of ith row and jth column, gs,ijTransfer function matrix G for new energy stations other than the current new energy stations(s) row i, column j elements,
Figure GDA0003333896420000104
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix from which the element of the ith row is removed,
Figure GDA0003333896420000105
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix with the j-th column element removed.
Preferably, based on the equivalent transfer function G of the kth power electronic power supply stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k：
Dynamic uniformity stability criterion index USI of ijth channel in kth power electronic power station1| station k, ijExpressed as:
Figure GDA0003333896420000106
wherein sup | · | purple∞Representing the upper bound of infinite norm of an equation of a domain s, wherein channel numbers i and j meet i, and j belongs to {1,2 };
dynamic unity stability criterion USI of kth power electronic power station1| station kExpressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
Calculating the USI (unified index of dynamic state) of power electronic power station1)；
In step 101 of the invention, an equivalent transfer function G of a kth power electronic power station is calculated based on an EOP theoryeqkAnd G iseqkDefining the reciprocal of infinite norm upper bound in each channel as the dynamic uniformity stability criterion of the power electronic power station, repeating the above steps until the calculation of all the power electronic power stations is completed, and finally forming the USI containing the dynamic characteristics of all the power electronic power stations in the power system1And vector measurement is carried out, so that the accurate measurement of the safety and stability risks of the power electronic power station is realized.
Step 101 specifically comprises the following steps:
wherein, the step 101-1: identifying or calculating an open-loop transfer function F of a kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Step 101-2: calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Step 101-3: calculating the USI of the ijth channel in the kth power electronic power station1| station k, ij；
Step 101-4: calculating the USI of the dynamic unity stability criterion of the kth power electronic power station1| station k；
Step 101-5: repeating the above process until USI of all power electronic power supply stations in the power system is completed1| station kCalculating to form a power electronic power station dynamic uniformity stability criterion vector USI of a high-proportion power electronic power system1。
In step 101-2, the kth power electronic power station is taken as a research object, the closed loop system of the power system is decomposed into an open loop system of the power electronic power station and open loop systems of other power systems, and then the equivalent transfer function G of the kth power electronic power station can be calculatedeqkComprises the following steps:
Figure GDA0003333896420000121
wherein the content of the first and second substances,
Figure GDA0003333896420000122
to remove Gg(s) the matrix after the ith row and the jth column,
Figure GDA0003333896420000123
to remove Gs(s) matrix after ith row and jth column, gs,ijIs Gs(s) row i, column j elements,
Figure GDA0003333896420000124
to remove Gs(s) the matrix after the element of the ith row,
Figure GDA0003333896420000125
to remove GsMatrix after jth column element in(s).
In step 101-3, the dynamic uniformity stability criterion index USI of the ijth channel in the kth power electronic power station1| station k, ijCan be expressed as:
Figure GDA0003333896420000126
wherein，sup||·||∞Representing the supremum for calculating the infinite norm of the s-domain equation. And channel numbers i and j satisfy i, j e {1,2 }.
In step 101-4, the dynamic uniformity stability criterion USI of the kth power electronic power station1| station kCan be expressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
In step 101-5, the dynamic uniformity stability criterion of each power electronic power supply station is calculated in sequence, and a power electronic power supply station dynamic uniformity stability criterion vector USI of the power system is formed1It can be expressed as:
USI1＝[USI1| station 1…USI1| station n]
Step 102: calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2；
Preferably, the static uniformity criterion of each station in the power electronic power supply station is calculated, and the static uniformity criterion index vector USI of each station is generated based on the static uniformity criterion of each station2The method comprises the following steps:
calculating equivalent impedance Z of kth power electronic power supply stationkkModulus value ofkk|：
Figure GDA0003333896420000131
Wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system;
equivalent impedance Z based on kth power electronic power stationkkModulus of|ZkkI, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station k：
Figure GDA0003333896420000132
Wherein S iskRated capacity, U, of the kth power electronic power stationkRated voltage of the kth power electronic power station;
sequentially calculating static uniformity stability criteria of all power electronic power supply stations, and generating static uniformity criterion index vectors USI of the stations based on the static uniformity stability criteria of all power electronic power supply stations2：
USI2＝[USI2| station 1＝USI2| station n]。
The invention calculates the static uniformity stability criterion (USI) of the power electronic power station2)；
In step 102, calculating a static uniformity stability criterion based on an equivalent impedance model of the power electronic power supply station, repeating the steps until the calculation of all the power electronic power supply stations is completed, and finally forming the USI including the static characteristics of all the power electronic power supply stations in the power system2And vector quantity is adopted to realize the risk preliminary screening of the power electronic power supply station.
Step 102 specifically comprises the following steps:
wherein, step 102-1: calculating or identifying equivalent impedance Z of kth power electronic power supply stationkkA modulus value of (d);
step 102-2: calculating a static uniformity stability criterion index of the kth power electronic power station;
step 102-3: repeating the above process until USI of all power electronic power supply stations in the power system is completed2| station kTo form a static unity stability criterion vector USI of the power electronic power supply station of the high-proportion power electronic power system2。
In step 102-1, theEquivalent impedance Z of k power electronic power supply stationskkModulus value ofkkThe calculation formula is as follows:
Figure GDA0003333896420000141
wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system.
In step 102-2, a static uniformity stability criterion index USI of the kth power electronic power station is calculated2| station kThe calculation formula is as follows:
Figure GDA0003333896420000142
wherein S iskRated capacity, U, of the kth power electronic power stationkIs the rated voltage of the kth power electronic power station.
In step 102-3, the static uniformity stability criterion of each power electronic power supply station is calculated in sequence, and a power electronic power supply station static uniformity stability criterion vector USI of the power system is formed2It can be expressed as:
USI2＝[USI2| station 1…USI2| station n]
Step 103: station-based dynamic unity criterion index vector USI1Static unity criterion index vector USI of station and station2And generating a uniformity criterion of the stability of the power electronic power supply station.
The invention forms a new energy uniformity stability criterion matrix (USI) of a high-proportion power electronic power system, and forms the new energy uniformity stability criterion matrix (USI) of the high-proportion power electronic power system, and the calculation formula is as follows:
Figure GDA0003333896420000151
the invention provides a unified stability criterion algorithm for a power electronic power supply station of a high-proportion power electronic power system. Compared with the prior art, the method has strict theoretical support and definite physical significance; the stability analysis method provided by the invention can be applied to power electronic power supply station grid-connected systems with different parameters, structures and scales; the uniformity stability criterion matrix (USI) provided by the invention is a dynamic uniformity stability criterion (USI)1) And static uniformity stability criterion ((USI)2) The formed two-dimensional index and matrix can effectively reflect the dynamic process of the power electronic power station and the controller thereof.
The following describes in further detail embodiments of the present invention with reference to the accompanying drawings.
The invention provides a unified stability criterion algorithm for a power electronic power supply station of a high-proportion power electronic power system, which comprises the following steps:
step 1: algorithm preparation work;
step 2: calculating dynamic unified short circuit velocity (USI) stability criterion of power electronic power station1)；
And step 3: calculating a fixed unified short circuit ratio (USI) stability criterion of a power electronic power supply station2)；
And 4, step 4: forming a new energy uniformity stability criterion matrix (USI) of the high-proportion power electronic power system;
in step 1, a simulation model of a high-proportion power electronic power system is established (as shown in fig. 2), the simulation model is established based on the actual high-proportion power electronic power system, the high-proportion power electronic power system comprises a plurality of power electronic power supply stations which are boosted by transformers and then merged into an alternating current power system, and each power electronic power supply station can comprise different types of new energy power generation devices. The alternating current power system has the characteristics of high-capacity feed-in of a new energy power supply and light load of a sending end, and the system strength of the power system is weak.
The invention aims to solve the problem of how to evaluate the safety and stability of a grid-connected power system when a power electronic power supply station is incorporated into a weak transmission end power grid. According to the requirements, the invention establishes a stability criterion (USI) based on dynamic uniformity1) And static uniformity stability criterion (USI)2) To achieve this function. Applied USI1Method based on open-loop transfer function G of power electronic power station to be connected to gridg(s) open-loop transfer function G with the remaining power systemsAnd(s) the dynamic safety and stability risk accurate measurement of the power electronic power station and the controller thereof is realized, and the measurement can be realized by combining an electromagnetic transient model. USI used in the invention2The method realizes risk preliminary screening of the power electronic power supply station based on the static electric quantity and equivalent impedance of the power electronic power supply station to be evaluated, and can be realized by combining an electromechanical transient model.
The method is based on the USI matrix formed by the two indexes, and can further improve the safety stability engineering algorithm of the power system, and finally obtain the safety stability risk of the power system in a quantized mode.
The step 2 specifically comprises the following steps:
step 2-1: calculating or identifying equivalent impedance Z of kth power electronic power supply stationkkA modulus value of (d);
step 2-2: calculating a static uniformity stability criterion index of the kth power electronic power station;
step 2-3: repeating the above process until USI of all power electronic power supply stations in the power system is completed2| station kTo form a static unity stability criterion vector USI of the power electronic power supply station of the high-proportion power electronic power system2。
In step 2-1, the equivalent impedance Z of the kth power electronic power stationkkModulus value ofkkThe calculation formula is as follows:
Figure GDA0003333896420000171
wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system.
In step 2-2, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station kThe calculation formula is as follows:
Figure GDA0003333896420000172
wherein S iskRated capacity, U, of the kth power electronic power stationkIs the rated voltage of the kth power electronic power station.
In step 2-3, the static uniformity stability criterion of each power electronic power supply station is calculated in sequence, and a power electronic power supply station static uniformity stability criterion vector USI of the power system is formed2It can be expressed as:
USI2＝[USI2| station 1…USI2| station n]
Taking the area A, B, C in the high-ratio power electronic power system shown in fig. 2 as an example, the safety stability risk of each power electronic power station is initially screened according to the procedure of step 2, and the calculation results are shown in table 1. The calculation result shows that each power electronic power supply station has stability risks of different degrees. Wherein, the station W15USI of2The calculated value is minimum, and the calculated result is close to the USI (static stability limit)2_max. Although the rest stations are in a safe state, the stability margin is small, and the stability risk still exists.
TABLE 1
Figure GDA0003333896420000173
Figure GDA0003333896420000181
The step 3 specifically comprises the following steps:
step 3-1: identifying or calculating an open-loop transfer function F of a kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Step 3-2: calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Step 3-3: calculating the USI of the ijth channel in the kth power electronic power station1| station k, ij；
Step 3-4: calculating the USI of the dynamic unity stability criterion of the kth power electronic power station1| station k；
Step 3-5: repeating the above process until USI of all power electronic power supply stations in the power system is completed1| station kCalculating to form a power electronic power station dynamic uniformity stability criterion vector USI of a high-proportion power electronic power system1。
In step 3-2, the kth power electronic power supply station is taken as a research object, the closed loop system of the power system is decomposed into an open loop system of the power electronic power supply station and open loop systems of other power systems, and then the equivalent transfer function G of the kth power electronic power supply station can be calculatedeqkComprises the following steps:
Figure GDA0003333896420000182
the transfer function of each power electronic power supply station or other power systems can be obtained based on the transfer function H(s) of the closed-loop power system, and related tests are carried out in advance according to standards such as the safety and stability guide rule of the power system before the power electronic power supply station is connected to the grid, so that the open-loop stability of the open-loop transfer function of the power electronic power supply station is ensured.
In step 3-3, the kth power electronic power station contains 4 channels, which are respectively numbered 11, 12, 21 and 22, and the dynamic state of each channelCriterion index USI for uniformity and stability1| station k, ijCan be expressed as:
Figure GDA0003333896420000183
wherein sup | · | purple∞Representing the supremum for calculating the infinite norm of the s-domain equation. And channel numbers i and j satisfy i, j e {1,2 }.
In step 3-4, the dynamic uniformity stability criterion index USI in 4 channels1| station k, ijThe minimum value is defined as a dynamic uniformity stability criterion of the power electronic power station, and can be expressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
In the steps 3-5, the dynamic uniformity stability criterion of each power electronic power supply station is calculated in sequence, and a power electronic power supply station dynamic uniformity stability criterion vector USI of the power system is formed1It can be expressed as:
USI1＝[USI1| station 1…USI1| station n]
Taking the area A, B, C in the high-proportion power electronic power system shown in fig. 2 as an example, taking the risk set of the power electronic power supply station obtained by preliminary screening in the step 2 as a research object, accurately calculating the safety and stability risks of each power electronic power supply station based on the flow of the step 3, and calculating results are shown in table 2. The calculation result shows that the station W1USI of1The calculated value is minimal, about 1.361, but still in a safe steady state. USI of other power electronic power stations1Calculated values are all larger than field station W1And is in a safe and stable state.
TABLE 2
Figure GDA0003333896420000191
In step 4, a USI matrix based on two indexes is formed, which can be expressed as:
Figure GDA0003333896420000192
in order to verify the validity of the method, the invention respectively aims at the power electronic power station W15And W16The single-field station grid-connected system performs time domain simulation under small disturbance, and the simulation result is shown in fig. 4. Simulation results show that: power electronic power station W15(FIG. 4) and W16(FIG. 5) can recover to be stable under small disturbance, and the station W15The post-disturbance power recovery speed of (1) is obviously slower than that of the station W16Station W16The grid connection stability is obviously better than that of the field station W15. The time domain verification process and the conclusion of other power electronic power supply stations are the same as the time domain verification process and the conclusion, and the time domain simulation result verifies the effectiveness of the method.
Fig. 6 is a diagram illustrating an apparatus for determining stability criteria of a power electronic power station according to a preferred embodiment of the present invention. As shown in fig. 6, the present invention provides a device for determining stability criteria of a power electronic power station, the device comprising:
a calculating unit 601, configured to calculate a dynamic uniformity criterion of each station in the power electronic power station, and generate a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1(ii) a Calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2。
Preferably, the calculating unit 601 is configured to calculate a dynamic uniformity criterion of each station in the power electronic power supply station, and generate a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1And is also used for:
calculating an open-loop transfer function F of the kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Equivalent transfer function G based on kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k；
Sequentially calculating dynamic uniformity stability criteria of all power electronic power supply stations, and generating dynamic uniformity criterion index vectors USI of the stations based on the dynamic uniformity stability criteria of all power electronic power supply stations1：
USI1＝[USI1| station 1…USI1| station n]。
Preferably, the calculation unit 601 is configured to: open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk：
Figure GDA0003333896420000211
Wherein the content of the first and second substances,
Figure GDA0003333896420000212
open loop transfer function G for power electronic power stationg(s) removing the matrix from the ith row and the jth column,
Figure GDA0003333896420000213
transfer function matrix G for new energy stations other than the current new energy stations(s) matrix after removal of ith row and jth column, gs,ijTransfer function matrix G for new energy stations other than the current new energy stations(s) row i, column j elements,
Figure GDA0003333896420000214
transfer function matrix G for new energy stations other than the current new energy stations(s) removingThe matrix after the i rows of elements,
Figure GDA0003333896420000215
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix with the j-th column element removed.
Preferably, the calculation unit 601 is configured to calculate the equivalent transfer function G based on the kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k：
Dynamic uniformity stability criterion index USI of ijth channel in kth power electronic power station1| station k, ijExpressed as:
Figure GDA0003333896420000216
wherein sup | · | purple∞Representing the upper bound of infinite norm of an equation of a domain s, wherein channel numbers i and j meet i, and j belongs to {1,2 };
dynamic unity stability criterion USI of kth power electronic power station1| station kExpressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
Preferably, the calculating unit 601 is configured to calculate a static uniformity criterion of each station in the power electronic power supply station, and generate a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2And is also used for:
calculating equivalent impedance Z of kth power electronic power supply stationkkModulus value ofkk|：
Figure GDA0003333896420000221
Wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system;
equivalent impedance Z based on kth power electronic power stationkkModulus value ofkkI, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station k：
Figure GDA0003333896420000222
Wherein S iskRated capacity, U, of the kth power electronic power stationkRated voltage of the kth power electronic power station;
sequentially calculating static uniformity stability criteria of all power electronic power supply stations, and generating static uniformity criterion index vectors USI of the stations based on the static uniformity stability criteria of all power electronic power supply stations2：
USI2＝[USI2| station 1…USI2| station n]。
A result unit 602 for a station-based dynamic unity criterion indicator vector USI1Static unity criterion index vector USI of station and station2And generating a uniformity criterion of the stability of the power electronic power supply station.
The apparatus 600 for determining stability criteria of a power electronic power supply station in the preferred embodiment of the present invention corresponds to the method 100 for determining stability criteria of a power electronic power supply station in the preferred embodiment of the present invention, and is not described herein again.
The invention has been described with reference to a few embodiments. However, other embodiments of the invention than the one disclosed above are equally possible within the scope of the invention, as would be apparent to a person skilled in the art from the appended patent claims.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the 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.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Generally, all terms used in the claims are to be interpreted according to their ordinary meaning in the technical field, unless explicitly defined otherwise herein. All references to "a/an/the [ device, component, etc ]" are to be interpreted openly as referring to at least one instance of said device, component, etc., unless explicitly stated otherwise. The steps of any method disclosed herein do not have to be performed in the exact order disclosed, unless explicitly stated.

Claims (6)

1. A method of generating power electronics power station stability criteria, the method comprising:
calculating dynamic uniformity criterion of each station in the power electronic power station, and generating a dynamic uniformity criterion index vector USI of each station based on the dynamic uniformity criterion of each station1The method comprises the following steps:
calculating an open-loop transfer function F of the kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Equivalent transfer function G based on kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k；
Sequentially calculating dynamic uniformity stability criteria of all power electronic power supply stations, and generating dynamic uniformity criterion index vectors USI of the stations based on the dynamic uniformity stability criteria of all power electronic power supply stations1；
USI1＝[USI1| station 1 … USI1| station n]；
Calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2The method comprises the following steps:
calculating equivalent impedance Z of kth power electronic power supply stationkkModulus value ofkk|：
Figure FDA0003333896410000011
Wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system;
equivalent impedance Z based on kth power electronic power stationkkModulus value ofkkI, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station k：
Figure FDA0003333896410000021
Wherein S iskRated capacity, U, of the kth power electronic power stationkRated voltage of the kth power electronic power station;
sequentially calculating static uniformity stability criteria of all power electronic power supply stations, and generating static uniformity criterion index vectors USI of the stations based on the static uniformity stability criteria of all power electronic power supply stations2：
USI2＝[USI2| station 1 … USI2| station n]；
Dynamic unity criterion index vector USI based on field station1And a static unity criterion index vector of said stationUSI2And generating a uniformity criterion of the stability of the power electronic power supply station.
2. The method of claim 1, the remaining power system based open loop transfer function Gkk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk：
Figure FDA0003333896410000022
Wherein the content of the first and second substances,
Figure FDA0003333896410000023
open loop transfer function G for power electronic power stationg(s) removing the matrix from the ith row and the jth column,
Figure FDA0003333896410000024
transfer function matrix G for new energy stations other than the current new energy stations(s) matrix after removal of ith row and jth column, gs,ijTransfer function matrix G for new energy stations other than the current new energy stations(s) row i, column j elements,
Figure FDA0003333896410000025
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix from which the element of the ith row is removed,
Figure FDA0003333896410000026
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix with the j-th column element removed.
3. The method of claim 2, the kth power electronic power supply station based equivalent transfer function GeqkCalculating the dynamic uniformity stability of the kth power electronic power stationCriterion index USI1| station k：
Dynamic uniformity stability criterion index USI of ijth channel in kth power electronic power station1| station k, ijExpressed as:
Figure FDA0003333896410000031
wherein sup | · | purple∞Representing the upper bound of infinite norm of an equation of a domain s, wherein channel numbers i and j meet i, and j belongs to {1,2 };
dynamic unity stability criterion USI of kth power electronic power station1| station kExpressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
4. An apparatus for generating power electronics power station stability criteria, the apparatus comprising:
a calculating unit for calculating dynamic unification criterion of each station in the power electronic power station, and generating dynamic unification criterion index vector USI of each station based on the dynamic unification criterion of each station1And is also used for:
calculating an open-loop transfer function F of the kth power electronic power stationk(s) and the remaining power system open loop transfer functions G except for the kth power electronic power supply stationkk(s)；
Open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk；
Equivalent transfer function G based on kth power electronic power stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k；
Calculating dynamic uniformity stability of all power electronic power supply stations in sequenceA criterion, wherein a dynamic unity criterion index vector USI of the station is generated based on the dynamic unity stability criterion of all power electronic power stations1：
USI1＝[USI1| station 1 … USI1| station n]；
Calculating static uniformity criterion of each station in the power electronic power supply station, and generating a static uniformity criterion index vector USI of each station based on the static uniformity criterion of each station2And is also used for:
calculating equivalent impedance Z of kth power electronic power supply stationkkModulus value ofkk|：
Figure FDA0003333896410000041
Wherein r iskIs the equivalent resistance of the kth power electronic power station, lkIs the equivalent reactance of the kth power electronic power station, ckIs the equivalent capacitance, omega, of the kth power electronic supply station0Is the power frequency of the power system;
equivalent impedance Z based on kth power electronic power stationkkModulus value ofkkI, calculating a static uniformity stability criterion index USI of the kth power electronic power station2| station k：
Figure FDA0003333896410000042
Wherein S iskRated capacity, U, of the kth power electronic power stationkRated voltage of the kth power electronic power station;
sequentially calculating static uniformity stability criteria of all power electronic power supply stations, and generating static uniformity criterion index vectors USI of the stations based on the static uniformity stability criteria of all power electronic power supply stations2：
USI2＝[USI2| station 1 … USI2| station n]；
A result unit for determining a criterion indicator vector USI based on the dynamic unity of the stations1And a static unity criterion index vector USI of said station2And generating a uniformity criterion of the stability of the power electronic power supply station.
5. The apparatus of claim 4, the computing unit to: open-loop transfer function G based on other power systemskk(s) calculating the equivalent transfer function G of the kth power electronic power stationeqk：
Figure FDA0003333896410000051
Wherein the content of the first and second substances,
Figure FDA0003333896410000052
open loop transfer function G for power electronic power stationg(s) removing the matrix from the ith row and the jth column,
Figure FDA0003333896410000053
transfer function matrix G for new energy stations other than the current new energy stations(s) matrix after removal of ith row and jth column, gs,ijTransfer function matrix G for new energy stations other than the current new energy stations(s) row i, column j elements,
Figure FDA0003333896410000054
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix from which the element of the ith row is removed,
Figure FDA0003333896410000055
transfer function matrix G for new energy stations other than the current new energy stations(s) the matrix with the j-th column element removed.
6. The apparatus of claim 5, the computing unit to, based on an equivalent transfer function G of a kth power electronic power supply stationeqkCalculating a dynamic uniformity stability criterion index USI of the kth power electronic power station1| station k：
Dynamic uniformity stability criterion index USI of ijth channel in kth power electronic power station1| station k, ijExpressed as:
Figure FDA0003333896410000056
wherein sup | · | purple∞Representing the upper bound of infinite norm of an equation of a domain s, wherein channel numbers i and j meet i, and j belongs to {1,2 };
dynamic unity stability criterion USI of kth power electronic power station1| station kExpressed as:
USI1| station k＝min{USI1| station k, ij}
And min {. DEG } represents the minimum value of the calculation s-domain equation in each channel, and is defined as the dynamic uniformity stability criterion of the power electronic power supply station k.
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