CN111965478B - Method and system for determining short-circuit current by considering phase shifting effect of transformer - Google Patents
Method and system for determining short-circuit current by considering phase shifting effect of transformer Download PDFInfo
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- CN111965478B CN111965478B CN202010621151.4A CN202010621151A CN111965478B CN 111965478 B CN111965478 B CN 111965478B CN 202010621151 A CN202010621151 A CN 202010621151A CN 111965478 B CN111965478 B CN 111965478B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/085—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/088—Aspects of digital computing
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
- G01R31/52—Testing for short-circuits, leakage current or ground faults
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
- G01R31/58—Testing of lines, cables or conductors
Abstract
The application discloses a method and a system for determining short-circuit current by considering the phase shifting effect of a transformer, and belongs to the technical field of power systems. The method of the application comprises the following steps: acquiring fault data and a transformer clock number after a power system grid short circuit fault, establishing a transformer model for taking into account the phase shifting action of a transformer according to the fault data in time Zhong Xushu, and determining an asymmetric admittance matrix for taking into account the phase shifting action of the transformer according to the transformer model; performing LU decomposition on the admittance matrix to obtain sparse structure linked list information of an L array and a U array of the admittance matrix; determining the current and bus voltage of a fault point after the short circuit fault of the power system power grid according to the sparse structure linked list information of the L array and the U array; and determining a short-circuit current considering the phase shifting effect of the transformer according to the current of the fault point and the bus voltage. The application can lead the calculation result of the fault point current to be more reasonable and the synthesis result of the A, B, C phase current of each branch to be correct.
Description
Technical Field
The application relates to the technical field of power systems, in particular to a method and a system for determining short-circuit current by considering the phase shifting effect of a transformer.
Background
Short circuit faults are a common fault in the operation of a power system, and are generally direct causes or initial causes of equipment damage, system oscillations, and loss of stability of the power system. When a short-circuit fault occurs, a fault current which is much larger than a normal operation current is generated in a system near the fault point, and impact is caused to adjacent generator sets and loads. For a power system, regardless of its size, if the protection and safety automation is improperly set, an abrupt short circuit fault may cause it to be unstable and lose a large amount of load, even if the whole system collapses. Since the last century, major blackouts have been associated with short circuit faults, either the "first" of which, or the promotion of the deterioration of the system operating conditions, or both.
The short circuit fault has an influence form on the stability of a large system, and the system often loses elements due to the short circuit, so that large-range power transfer occurs, and then new faults occur, and finally the system is crashed. Therefore, how to accurately perform short circuit calculation, including the initial fault and the fault occurring in the subsequent state change process of the system, and further reasonably determine countermeasures after the occurrence of the short circuit through transient stability analysis, has great significance for safe and stable operation of the system.
In addition to providing services for grid stability analysis, short circuit calculation is also widely used for design and operation verification of grids and grid equipment. In the planning and design of the power system, dynamic and thermal stability verification of equipment and conductors is required. In the operation analysis of the power grid, it is necessary to check whether the circuit breaker can break the short-circuit current, that is, check the breaking capability of the circuit breaker. In addition, power system relay protection and tuning of many safety automation devices also depend on the short circuit calculation results.
The symmetrical component method is the basis for performing power grid fault calculation and is essentially a mathematical transformation method. When an asymmetric fault occurs, the coupled A, B, C can be triphase into a positive net, a negative net and a zero net which are not coupled with each other through a symmetric component method. The three sequence networks have no influence on each other in normal operation, and when an asymmetric fault occurs in the system, positive and negative zero sequence networks are associated at the fault point, namely a so-called composite sequence network is formed, and the equivalent network can be used for calculating the short-circuit current of the fault point. For each bus voltage and branch current in the network after fault, the values are generally calculated according to the parameters of the positive, negative and zero sequence networks, and then are synthesized into A, B, C phases (lines).
In practice, due to the different connection modes of the windings on both sides of the transformer, the positive and negative sequence components of the fault current and the fault voltage may be phase shifted after passing through the transformer. This factor is not considered in the current mainstream short circuit current calculation procedure. The problem does not affect the three-phase short circuit result, and the calculation results of the positive, negative, zero three-sequence branch current and the bus voltage amplitude of the whole network after the fault, but when an asymmetric short circuit fault occurs, the error of the current synthesis result of the branch A, B, C after the transformer is crossed can cause that the fault analysis is not matched with the actual situation, particularly the current of the branch A, B, C is not matched with the actual wave recording, and the analysis conclusion and the trust of the calculation program are affected.
Disclosure of Invention
In view of the above problems, the present application provides a method for determining a short-circuit current by taking into account a phase-shifting action of a transformer, including:
acquiring fault data and a transformer clock number after a power system grid short circuit fault, establishing a transformer model for taking into account the phase shifting action of a transformer according to the fault data in time Zhong Xushu, and determining an asymmetric admittance matrix for taking into account the phase shifting action of the transformer according to the transformer model;
performing LU decomposition on the admittance matrix to obtain sparse structure linked list information of an L array and a U array of the admittance matrix;
determining the current and bus voltage of a fault point after the short circuit fault of the power system power grid according to the sparse structure linked list information of the L array and the U array;
and determining a short-circuit current considering the phase shifting effect of the transformer according to the current of the fault point and the bus voltage.
Optionally, the short-circuit current taking account of the phase shifting effect of the transformer is a three-phase current of each branch of the power grid of the power system.
Optionally, determining the short circuit current taking into account the phase shifting effect of the transformer includes:
determining positive, negative and zero sequence components of short-circuit currents of all branches of a power grid of the power system according to the current of the fault point and the bus voltage;
and determining the three-phase current of each branch according to the positive, negative and zero sequence components.
Alternatively, the transformer model is used for positive and negative sequence networks.
Optionally, the admittance matrix is an asymmetric admittance matrix.
The application also provides a system for determining short-circuit current by considering the phase shifting effect of the transformer, which comprises:
the modeling module is used for acquiring fault data and a transformer clock number after the power system power grid short circuit fault, establishing a transformer model for taking into account the phase shifting action of the transformer according to the fault data in time Zhong Xushu, and determining an asymmetric admittance matrix for taking into account the phase shifting action of the transformer according to the transformer model;
the decomposition module is used for carrying out LU decomposition on the admittance matrix to obtain the sparse structure linked list information of the L array and the U array of the admittance matrix;
the calculation module is used for determining the current and the bus voltage of a fault point after the short circuit fault of the power grid of the power system according to the sparse structure linked list information of the L array and the U array;
and the output module is used for determining a short circuit current which takes the phase shifting action of the transformer into consideration according to the current of the fault point and the bus voltage.
Optionally, the short-circuit current taking account of the phase shifting effect of the transformer is a three-phase current of each branch of the power grid of the power system.
Optionally, determining the short circuit current taking into account the phase shifting effect of the transformer includes:
determining positive, negative and zero sequence components of short-circuit currents of all branches of a power grid of the power system according to the current of the fault point and the bus voltage;
and determining the three-phase current of each branch according to the positive, negative and zero sequence components.
Alternatively, the transformer model is used for positive and negative sequence networks.
Optionally, the admittance matrix is an asymmetric admittance matrix.
According to the application, when the asymmetric short-circuit current calculation is carried out, under the influence of the transformer on the positive, negative and zero sequence current phase shifting action in the fault point current, the bus voltage and the branch current, the fault point current calculation result is more reasonable, and the A, B, C phase current synthesis result of each branch is correct.
Drawings
FIG. 1 is a flow chart of a method for determining a short circuit current in consideration of the phase shifting effect of a transformer according to the present application;
FIG. 2 is a block diagram of a system for determining short circuit current in consideration of transformer phase shifting.
Detailed Description
The exemplary embodiments of the present application will now be described with reference to the accompanying drawings, however, the present application may be embodied in many different forms and is not limited to the examples described herein, which are provided to fully and completely disclose the present application and fully convey the scope of the application 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 application. In the drawings, like elements/components are referred to by like reference numerals.
Unless otherwise indicated, terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art. In addition, it will be understood that terms 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.
The application provides a method for determining short-circuit current by considering the phase shifting effect of a transformer, which is shown in fig. 1 and comprises the following steps:
acquiring fault data and a transformer clock number after a power system grid short circuit fault, establishing a transformer model for taking into account the phase shifting action of a transformer according to the fault data in time Zhong Xushu, and determining an asymmetric admittance matrix for taking into account the phase shifting action of the transformer according to the transformer model;
performing LU decomposition on the admittance matrix to obtain sparse structure linked list information of an L array and a U array of the admittance matrix;
determining the current and bus voltage of a fault point after the short circuit fault of the power system power grid according to the sparse structure linked list information of the L array and the U array;
and determining a short-circuit current considering the phase shifting effect of the transformer according to the current of the fault point and the bus voltage.
The short-circuit current taking the phase shifting effect of the transformer into account is three-phase current of each branch of the power grid of the power system.
Wherein determining a short circuit current that accounts for transformer phase shifting effects comprises:
determining positive, negative and zero sequence components of short-circuit currents of all branches of a power grid of the power system according to the current of the fault point and the bus voltage;
and determining the three-phase current of each branch according to the positive, negative and zero sequence components.
Wherein the transformer model is used for positive and negative sequence networks.
Wherein the admittance matrix is an asymmetric admittance matrix.
The application is further illustrated below with reference to examples.
Establishing a transformer model taking into account the phase shifting effect of the transformer;
the phase shifting action of the transformer is determined by the clock number of the transformer, so that the consideration of the clock number is needed to be added on the basis of the existing transformer model, when the clock number of the transformer is considered, the change of the current angles of windings on two sides due to the clock number can be considered in the transformer transformation ratio, the time-varying ratio k is a complex number, the amplitude value represents the voltage amplitude ratio on the I, J side, and the angle of the complex number represents the phase shift of the J side relative to the I side due to the clock number;
the original expression of the I-side current is shown as a formula (1):
[U iR +jU iI -(R+jX)(I iR +jI iI )](k R +jk I )＝U jR +jU jI (1)
finishing formula (1), having formula (2):
I iR +jI iI ＝(Y iR +jY iI )[(k R U iR -k I U iI )+j(k I U iR +k R U iI )-(U jR +jU jI )] (2)
wherein:
the expression (2) is split into 2 expressions of a real part and an imaginary part, and written in a matrix form, and has the expression (6):
considering the transadmittance between the I, J side bus bars, formula (6) this is written as formula (7):
the original expression of the J-side current is shown as formula (8):
[U iR +jU iI -(R+jX)(I jR +jI jI )(k R -jk I )](k R +jk I )＝U jR +jU jI (8)
finishing formula (8), taking into account formulas (3) to (5), and obtaining formulas (9) and (10) in order
I jR +jI jI ＝(Y jR +jY jI )[U iR +jU iI -(U jR +jU jI )/(k R +jk I )] (9)
In formula (8):
the real part and the imaginary part of the formula (10) are separated and written in a matrix form, and the formula (14) is shown as follows:
the formula (14) is written as (15) in consideration of admittance between I, J side buses
As can be seen from the I, J side current expressions (7) and (15), the transformer model taking into account the phase shifting effect can still be equivalent to a pi-type circuit, but the admittance array is an asymmetric array. The side I transadmittance is of formula (16):
the J-side transadmittance is of the formula:
the I-side self admittance is:
the J-side self admittance is:
the above is a transformer model taking into account the influence of the transformer winding junction groups, it should be noted that equations (14) - (19) apply to positive-sequence networks as well as to negative-sequence networks, except that the values of kr and ki are different. For the zero sequence network, the admittance array is still symmetrical because no phase shift problem exists, and the situation is consistent with the situation that the influence of the connection group is not considered. However, in the actual programming, the zero sequence network can also be treated in an asymmetric manner for the sake of convenience of the unified approach. A symmetric matrix can be regarded as a special case of an asymmetric matrix;
LU decomposition of system admittance matrix with transformer model accounting for phase shifting effects
After considering the influence of the clock ordinal number of the transformer winding, the admittance matrix is changed into an asymmetric form, and the primary task for simulation calculation is to solve a network equation based on the admittance matrix in the asymmetric form, so that LU decomposition is needed, and the following method is adopted:
1 for k=1, n operates as follows:
1-1 to find the k-th column element of the L array, L (k: n, k) =a (k: n, k) -L (k: n, 1:k-1) U (1:k-1, k)
1-2 solving the k-th row element of U array
U(k,k+1:n)＝(A(k,k+1:n)-L(k,1:k-1)*U(1:k-1-1,k+1:n))/L(k,k)
Wherein A is an admittance matrix to be decomposed, L is an upper triangular matrix, and U is a unit lower triangular matrix (diagonal element is 1). In order to facilitate the value of L (k, 1:k-1) and U (1:k-1, k), matrix longitudinal chain list information needs to be formed in the decomposition process. If the matrix A with the same structure and variable values is repeatedly subjected to triangular decomposition, L, U array sparse structure linked list information is only needed to be formed for the first time; and performing numerical operation only by using the stored linked list information.
According to the conventional short circuit calculation process, calculating the fault point current and the voltage after each bus fault
According to the calculated voltage after each bus fault, calculating the positive, negative and zero sequence components of each branch short-circuit current
A, B, C phase currents of each branch current are calculated according to positive, negative and zero sequence components of each branch short-circuit current
The present application also provides a system 200 for determining a short circuit current taking account of transformer phase shifting, as shown in fig. 2, comprising:
the modeling module 201 acquires fault data and a transformer clock number after a power system grid short circuit fault, establishes a transformer model which takes into account the phase shifting action of the transformer according to the fault data in time Zhong Xushu, and determines an asymmetric admittance matrix which takes into account the phase shifting action of the transformer according to the transformer model;
the decomposition module 202 performs LU decomposition on the admittance matrix to obtain sparse structure linked list information of an L array and a U array of the admittance matrix;
the calculation module 203 determines the current and the bus voltage of a fault point after the short circuit fault of the power system power grid according to the sparse structure linked list information of the L array and the U array;
the output module 204 determines a short circuit current that accounts for the phase shifting effects of the transformer based on the current at the fault point and the bus voltage.
The short-circuit current taking the phase shifting effect of the transformer into account is three-phase current of each branch of the power grid of the power system.
Wherein determining a short circuit current that accounts for transformer phase shifting effects comprises:
determining positive, negative and zero sequence components of short-circuit currents of all branches of a power grid of the power system according to the current of the fault point and the bus voltage;
and determining the three-phase current of each branch according to the positive, negative and zero sequence components.
Wherein the transformer model is used for positive and negative sequence networks.
Wherein the admittance matrix is an asymmetric admittance matrix.
According to the application, when the asymmetric short-circuit current calculation is carried out, under the influence of the transformer on the positive, negative and zero sequence current phase shifting action in the fault point current, the bus voltage and the branch current, the fault point current calculation result is more reasonable, and the A, B, C phase current synthesis result of each branch is correct.
It will be appreciated by those skilled in the art that 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 scheme in the embodiment of the application can be realized by adopting various computer languages, such as object-oriented programming language Java, an transliteration script language JavaScript and the like.
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 flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations 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.
While preferred embodiments of the present application have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. It is therefore intended that the following claims be interpreted as including the preferred embodiments and all such alterations and modifications as fall within the scope of the application.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present application without departing from the spirit or scope of the application. Thus, it is intended that the present application also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
Claims (6)
1. A method of determining a short circuit current taking into account transformer phase shifting effects, comprising:
acquiring fault data and a transformer clock number after a power system grid short circuit fault, establishing a transformer model for taking into account the phase shifting action of a transformer according to the fault data in time Zhong Xushu, and determining an asymmetric admittance matrix for taking into account the phase shifting action of the transformer according to the transformer model;
performing LU decomposition on the admittance matrix to obtain sparse structure linked list information of an L array and a U array of the admittance matrix;
determining the current and bus voltage of a fault point after the short circuit fault of the power system power grid according to the sparse structure linked list information of the L array and the U array;
determining a short-circuit current taking into account the phase shifting effect of the transformer according to the current of the fault point and the bus voltage;
the short-circuit current taking the phase shifting effect of the transformer into account is three-phase current of each branch of the power grid of the power system;
the determining of the short-circuit current taking into account the phase shifting effect of the transformer comprises:
determining positive, negative and zero sequence components of short-circuit currents of all branches of a power grid of the power system according to the current of the fault point and the bus voltage;
and determining the three-phase current of each branch according to the positive, negative and zero sequence components.
2. The method of claim 1, the transformer model being for a positive sequence network and a negative sequence network.
3. The method of claim 1, the admittance matrix being an asymmetric admittance matrix.
4. A system for determining a short circuit current taking into account transformer phase shifting effects, the system comprising:
the modeling module is used for acquiring fault data and a transformer clock number after the power system power grid short circuit fault, establishing a transformer model for taking into account the phase shifting action of the transformer according to the fault data in time Zhong Xushu, and determining an asymmetric admittance matrix for taking into account the phase shifting action of the transformer according to the transformer model;
the decomposition module is used for carrying out LU decomposition on the admittance matrix to obtain the sparse structure linked list information of the L array and the U array of the admittance matrix;
the calculation module is used for determining the current and the bus voltage of a fault point after the short circuit fault of the power grid of the power system according to the sparse structure linked list information of the L array and the U array;
the output module is used for determining a short-circuit current taking the phase shifting action of the transformer into consideration according to the current of the fault point and the bus voltage;
the short-circuit current taking the phase shifting effect of the transformer into account is three-phase current of each branch of the power grid of the power system;
determining a short circuit current that accounts for transformer phase shifting effects, comprising:
determining positive, negative and zero sequence components of short-circuit currents of all branches of a power grid of the power system according to the current of the fault point and the bus voltage;
and determining the three-phase current of each branch according to the positive, negative and zero sequence components.
5. The system of claim 4, the transformer model for a positive sequence network and a negative sequence network.
6. The system of claim 4, the admittance matrix being an asymmetric admittance matrix.
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