CN110350529A - Electric system small interference stability method, apparatus, equipment and storage medium - Google Patents
Electric system small interference stability method, apparatus, equipment and storage medium Download PDFInfo
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- CN110350529A CN110350529A CN201910693715.2A CN201910693715A CN110350529A CN 110350529 A CN110350529 A CN 110350529A CN 201910693715 A CN201910693715 A CN 201910693715A CN 110350529 A CN110350529 A CN 110350529A
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- power system
- system controller
- imaginary axis
- intersection point
- controller parameter
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
Abstract
The invention discloses a kind of electric system small interference stability method, apparatus, equipment and storage mediums, comprising: the knots modification of power system controller parameter and the first relational expression of eigenvalue and imaginary axis intersection point are determined according to disturbed matrix exgenvalue property theorem；Determine that several have solution section according to the first relational expression；There are the knots modification for solving power system controller parameter in solution section respectively and eigenvalue and imaginary axis intersection point several by dichotomy, to form the set for changing duration set and forming characteristic value and imaginary axis intersection point of power system controller parameter；The smallest knots modification of absolute value in the change duration set of power system controller parameter is chosen, corresponding characteristic value and imaginary axis intersection point are chosen according to the smallest knots modification of absolute value；It is adjusted according to the smallest knots modification of absolute value and corresponding characteristic value with parameter of the imaginary axis intersection point to power system controller.It is many and diverse to solve the policy development of prior art power system stability, the problem of stability of power system difference.
Description
Technical field
The present invention relates to technical field of power systems more particularly to electric system small interference stability method, apparatus, equipment with
And storage medium.
Background technique
For the stabilization for enabling electric system to continue, determine that electric system is shaken frequently by analysis system state matrix
The reason of swinging.And signature analysis, the i.e. analysis of characteristic value, feature vector are based primarily upon to the analysis of POWER SYSTEM STATE matrix.
When the characteristic value of electric system is all on the imaginary axis left side on complex plane, then electric system is stable.And electric system control
The adjustment of device parameter processed can change the characteristic value of POWER SYSTEM STATE matrix, to change the stability of system operation equalization point
And dynamic property.Assuming that electric system is small interference stability, i.e., all characteristic values are all located at the imaginary axis left side on complex plane.With
The variation of power system controller parameter, the characteristic value of electric system may be moved to the left, i.e. electric system is more stable, such as
λ in Fig. 11, or cross the imaginary axis from small interference stability region to small interference unstable region, λ as shown in figure 12。
So the solution in the small interference stability domain of electric system, is just to solve for so that electric system characteristic value is steady in small interference
Determine the variation range of the controller parameter in region.
Currently, mainly have several research methods: eigenvalue analytic approach is adopted for electric system small interference stability domain
With the sensitive pole algorithm (SPA) of subspace and Sparse technology, the Hopf fork method based on Newton-Raphson method.But
It is that the above method perhaps needs a large amount of calculating times when it solves characteristic value or cannot access whole critical eigenvalues,
So that power system stability policy development is many and diverse, the stability of electric system is poor.
Summary of the invention
The embodiment of the present invention provides a kind of electric system small interference stability method, apparatus, equipment and storage medium, can have
Effect solution prior art power system stability policy development is many and diverse, the problem of stability of power system difference.
One embodiment of the invention provides a kind of electric system small interference stability method, comprising:
The knots modification and eigenvalue of power system controller parameter are determined according to disturbed matrix exgenvalue property theorem
With the first relational expression of imaginary axis intersection point；
Determine that several have solution section according to first relational expression, wherein described to have solution section for there are electric system
The knots modification of controller parameter, so that according to the POWER SYSTEM STATE matrix after power system controller parameter change in this section
On have eigenvalue and imaginary axis intersection point；
By dichotomy it is several have solution section in solve respectively the power system controller parameter knots modification and
The eigenvalue and imaginary axis intersection point, to form the change duration set of power system controller parameter and form characteristic value and void
The set of axis intersection point；
The smallest knots modification of absolute value in the change duration set of the power system controller parameter is chosen, according to described exhausted
Corresponding characteristic value and imaginary axis intersection point are chosen to the smallest knots modification is worth；
According to the smallest knots modification of the absolute value and corresponding characteristic value and imaginary axis intersection point to power system controller
Parameter is adjusted.
It is as an improvement of the above scheme, described according to disturbed matrix exgenvalue property theorem, comprising:
POWER SYSTEM STATE matrix in the inearized model of power system controller state modulator electric system changes
POWER SYSTEM STATE matrix after to change；Wherein, the POWER SYSTEM STATE matrix after change isδ is institute
State the knots modification of power system controller parameter, the substrate coefficient matrix of D and E controller parameter K in state matrix A；
IfThenAnd if only if 1 ∈ σ (δ E (λ I-A)-1D), wherein σ indicate characteristic value set.
As an improvement of the above scheme, the knots modification and eigenvalue for determining power system controller parameter are handed over the imaginary axis
First relational expression of point, comprising:
The knots modification and eigenvalue of power system controller parameter are obtained according to preset imaginary axis upper half relational expression
With the first relational expression of imaginary axis intersection point；
Wherein, preset imaginary axis upper half relational expression are as follows: z=α ρz；Wherein α=j1, ρz∈ [0 ,+∞)；
First relational expression is δ=1/ μ, β=α ρ；Wherein μ and ρ meets following relationship: μ ∈ σ (E (α ρ I- Α)-1D) and
Im (μ)=0, ρ ∈ [0 ,+∞).
As an improvement of the above scheme, described to determine that several have solution section according to first relational expression, wherein described
Having solution section is that there are the knots modifications of power system controller parameter, so that according to the electricity after power system controller parameter change
Force system state matrix has eigenvalue and imaginary axis intersection point on this section, comprising:
According to the first relational expression defined function N (ρ),WhereinIt isNumber
Amount,MeetAnd
In response to N (ρ1)=N (ρ2)+1 or N (ρ1)=N (ρ2) -1, it is determined that [ρ1,ρ2] it is to have solution section；
In response to N (ρ1)=N (ρ2), it is determined that [ρ1,ρ2] it is without solution section.
Another embodiment of the present invention correspondence provides a kind of electric system small interference stability device, comprising:
First control module, for determining changing for power system controller parameter according to disturbed matrix exgenvalue property theorem
First relational expression of variable and eigenvalue and imaginary axis intersection point；
Second control module, for determining that several have solution section according to first relational expression, wherein the area You Xie
Between for there are the knots modifications of power system controller parameter so that according to the electric system after power system controller parameter change
State matrix has eigenvalue and imaginary axis intersection point on this section；
Computing module, for by dichotomy it is several have solution section in solve the power system controller parameter respectively
Knots modification and the eigenvalue and imaginary axis intersection point, to form the change duration set and shape of power system controller parameter
At the set of characteristic value and imaginary axis intersection point；
Choose module, the smallest change of absolute value in the change duration set for choosing the power system controller parameter
Amount chooses corresponding characteristic value and imaginary axis intersection point according to the smallest knots modification of the absolute value；
Parameter adjustment module, for according to the smallest knots modification of the absolute value and corresponding characteristic value and imaginary axis intersection point pair
The parameter of power system controller is adjusted.
It is as an improvement of the above scheme, described according to disturbed matrix exgenvalue property theorem, comprising:
POWER SYSTEM STATE matrix in the inearized model of power system controller state modulator electric system changes
POWER SYSTEM STATE matrix after to change；Wherein, the POWER SYSTEM STATE matrix after change isδ is institute
State the knots modification of power system controller parameter, the substrate coefficient matrix of D and E controller parameter K in state matrix A；
IfThenAnd if only if 1 ∈ σ (δ E (λ I-A)-1D), wherein σ indicate characteristic value set.
Another embodiment of the present invention correspondence provides a kind of electric system small interference stability terminal device, comprising: processor,
Memory and storage in the memory and are configured as the computer program executed by the processor, the processor
Electric system small interference stability method described in foregoing invention embodiment is realized when executing the computer program.
Another embodiment of the present invention provides a kind of storage medium, the computer readable storage medium includes the meter of storage
Calculation machine program, wherein control equipment where the computer readable storage medium in computer program operation and execute
State electric system small interference stability method described in inventive embodiments.
Compared with prior art, the electric system small interference stability method, apparatus disclosed by the embodiments of the present invention, equipment
And storage medium directly calculates the change of power system controller parameter in the case where not calculating electric system characteristic value
The point that amount and eigenvalue intersect with the imaginary axis, avoids the solution complexity and time-consuming of electric system eigenvalue, from
And many and diverse degree of power system stability policy development is simplified, enhance stability of power system.
Detailed description of the invention
Fig. 1 is the explanatory diagram that characteristic value is passed through in the prior art；
Fig. 2 is a kind of flow diagram for electric system small interference stability method that one embodiment of the invention provides；
Fig. 3 is a kind of structural schematic diagram for electric system small interference stability device that one embodiment of the invention provides；
Fig. 4 is a kind of structural schematic diagram for electric system small interference stability terminal device that one embodiment of the invention provides.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
It referring to fig. 2, is a kind of flow diagram for electric system small interference stability method that one embodiment of the invention provides.
A kind of electric system small interference stability method provided in an embodiment of the present invention, comprising:
S10, the knots modification and characteristic value that power system controller parameter is determined according to disturbed matrix exgenvalue property theorem
First relational expression of track and imaginary axis intersection point.
Specifically, the inearized model of electric system can be described asWhereinFor the state of system
Variable,For coefficient matrix.Electric system in the inearized model of power system controller state modulator electric system
State matrix changes the POWER SYSTEM STATE matrix after being changed；Wherein, the POWER SYSTEM STATE matrix after change isδ is the knots modification of the power system controller parameter, and D and E controller parameter K are in state matrix A
Substrate coefficient matrix.
The building of matrix D and E are as follows:
D=[W1e1i,W2e2i,…,Wpepi,]
E=[e1j,e2j,…,epj,]T
Wherein ei=[0 ... 010 ... 0]T, indicateIn i-th element be 1 unit vector；ej=[0 ... 0
1 0 … 0]T, indicateIn j-th element be 1 unit vector；P indicates system mode relevant to certain controller parameter K
The quantity of matrix element；WkIt is coefficient of the controller parameter K in elements A (i, j).
IfThenAnd if only if 1 ∈ σ (δ E (λ I-A)-1D), wherein σ indicate characteristic value set.
The knots modification and eigenvalue of power system controller parameter are obtained according to preset imaginary axis upper half relational expression
With the first relational expression of imaginary axis intersection point.
Wherein, preset imaginary axis upper half relational expression are as follows: z=α ρz；Wherein α=j1, ρz∈ [0 ,+∞)；
First relational expression is δ=1/ μ, β=α ρ；Wherein μ and ρ meets following relationship: μ ∈ σ (E (α ρ I- Α)-1D) and
Im (μ)=0, ρ ∈ [0 ,+∞).
S20, determine that several have solution section according to first relational expression, wherein described to have solution section for there are electric power
The knots modification of system controller parameter, so that herein according to the POWER SYSTEM STATE matrix after power system controller parameter change
Eigenvalue and imaginary axis intersection point again on section.
Specifically, according to the first relational expression defined function N (ρ),Wherein
It isQuantity,MeetAnd
Since N (ρ) is discrete, and E (α ρ I- Α)-1All characteristic values of D are continuous on a complex plane with the variation of ρ
Variation, so:
In response to N (ρ1)=N (ρ2)+1 or N (ρ1)=N (ρ2) -1, it is determined that [ρ1,ρ2] it is to have solution section, then E (α ρ I-
Α)-1D is in range of variables [ρ1,ρ2] in do not pass through the characteristic value μ of real axis, i.e., in range of variables [ρ1,ρ2] in have and make matrix E (α
ρI-Α)-1There are the ρ of the μ of factual investigation δ=1/ by D, that is, there are the knots modification δ of power system controller parameter, so that (A+ δ DE)
In [ρ1,ρ2] on have the intersection point β of original system eigenvalue and the imaginary axis.
In response to N (ρ1)=N (ρ2), it is determined that [ρ1,ρ2] it is without solution section, then E (α ρ I- Α)-1D range of variables [ρ 1,
ρ 2] in do not pass through the characteristic value μ of real axis, i.e., in range of variables [ρ1,ρ2] in do not make matrix E (α ρ I- Α)-1D exists real special
The ρ of the μ of value indicative δ=1/, that is, the knots modification δ of power system controller parameter is not present, so that (A+ δ DE) is in [ρ1,ρ2] on have original
The intersection point β of system features value track and the imaginary axis.
In the present embodiment, in section [ρ0,ρn] on determination have solution section
Input: starting point ρ0, terminal ρn, section number n, matrix A, D, E
Output: having solution section Q, there is solution section number m
Initialization:
I=0, j=1, m=1, siding-to-siding block length ρstep=(ρ1-ρ2)/n
Η=[], Q=[], N=[], α=j1
Following circulation is carried out as i < n+1:
1. ρ=ρ0+ρstep× i, Η=[Η ρ]；
2. calculating σ (E (α ρ I- Α)-1D)；
3. basis
Formula seeks N (ρ)；
4. N=[N N (ρ)]；
5. i=i+1；
Following circulation is carried out as j < n:
1. if N (j) ≠ N (j+1), Q=[Q；Hj,Hj+1], m=m+1
2. j=j+1
S30, there is the knots modification for solving the power system controller parameter in solution section respectively several by dichotomy
And the eigenvalue and imaginary axis intersection point, to form the change duration set of power system controller parameter and form characteristic value
With the set of imaginary axis intersection point.
In the present embodiment, there is solution section [ρ each1,ρ2] on iteratively solved using dichotomy.
Initialization: i=0, z=[], Δ=[], error tolerances ε
Following circulation is carried out as i < m；Wherein, m is the number for having solution section.
①ρ1=Q (i, 1), ρ2=Q (i, 2), ρ=(ρ1+ρ2)/2；
2. calculating separately E (α ρ1I-A)-1D、E(αρ2I-A)-1D and E (α ρ I-A)-1The characteristic value collection σ of D1、σ2And σ；
3. seeking σ respectively1、σ2It is greater than 0 characteristic value number k with imaginary part in σ1、k2And k；
4. calculating E (α ρ I-A)-1The smallest characteristic value of D imaginary part absolute value
5. following circulation a-e is carried out as h>ε, until 6. h<ε, thens follow the steps.
If a. k1=k, then ρ1=ρ, otherwise ρ2=ρ；
B. ρ=(ρ1+ρ2)/2；
C. E (α ρ I-A) is calculated-1D characteristic value collection σ；
D. the characteristic value number k that imaginary part in σ is greater than 0 is sought；
E. E (α ρ I-A) is calculated-1The smallest characteristic value of D imaginary part absolute value
Wherein, ε is error tolerances.
6. β=α ρ, β=[β β]；
⑦Δ=[Δ δ]
S40, the smallest knots modification of absolute value in the change duration set of the power system controller parameter is chosen, according to institute
It states the smallest knots modification of absolute value and chooses corresponding characteristic value and imaginary axis intersection point.
S50, according to the smallest knots modification of the absolute value and corresponding characteristic value and imaginary axis intersection point to electric power system control
The parameter of device is adjusted.
In conclusion the electric system small interference stability method disclosed by the embodiments of the present invention, is not calculating power train
In the case where characteristic value of uniting, what the knots modification and eigenvalue of directly calculating power system controller parameter intersected with the imaginary axis
Point avoids the solution complexity and time-consuming of electric system eigenvalue, to simplify power system stability strategy system
Fixed many and diverse degree, enhances stability of power system.
It is a kind of structural schematic diagram for electric system small interference stability device that one embodiment of the invention provides referring to Fig. 3.
Correspondence of the embodiment of the present invention provides a kind of electric system small interference stability device, comprising:
First control module 10, for determining power system controller parameter according to disturbed matrix exgenvalue property theorem
First relational expression of knots modification and eigenvalue and imaginary axis intersection point.
Second control module 20, for determining that several have solution section according to first relational expression, wherein described to have solution
Section is that there are the knots modifications of power system controller parameter, so that according to the power train after power system controller parameter change
System state matrix has eigenvalue and imaginary axis intersection point on this section.
Computing module 30, for by dichotomy it is several have power system controller ginseng is solved in solution section respectively
Several knots modifications and the eigenvalue and imaginary axis intersection point, with formed power system controller parameter change duration set and
Form the set of characteristic value and imaginary axis intersection point.
Module 40 is chosen, absolute value is the smallest in the change duration set for choosing the power system controller parameter changes
Variable chooses corresponding characteristic value and imaginary axis intersection point according to the smallest knots modification of the absolute value.
Parameter adjustment module 50, for according to the smallest knots modification of the absolute value and corresponding characteristic value and imaginary axis intersection point
The parameter of power system controller is adjusted.
It is as an improvement of the above scheme, described according to disturbed matrix exgenvalue property theorem, comprising:
POWER SYSTEM STATE matrix in the inearized model of power system controller state modulator electric system changes
POWER SYSTEM STATE matrix after to change；Wherein, the POWER SYSTEM STATE matrix after change isδ is institute
State the knots modification of power system controller parameter, the substrate coefficient matrix of D and E controller parameter K in state matrix A.
IfThenAnd if only if 1 ∈ σ (δ E (λ I-A)-1D), wherein σ indicate characteristic value set.
In conclusion the electric system small interference stability device disclosed by the embodiments of the present invention, is not calculating power train
In the case where characteristic value of uniting, what the knots modification and eigenvalue of directly calculating power system controller parameter intersected with the imaginary axis
Point avoids the solution complexity and time-consuming of electric system eigenvalue, to simplify power system stability strategy system
Fixed many and diverse degree, enhances stability of power system.
It referring to fig. 4, is the schematic diagram for the electric system small interference stability terminal device that one embodiment of the invention provides.The reality
Apply example electric system small interference stability terminal device include: processor, memory and storage in the memory and can
The computer program run on the processor.The processor realizes above-mentioned each electric power when executing the computer program
Step in system small interference stability embodiment of the method.Alternatively, being realized when the processor execution computer program above-mentioned
The function of each module/unit in each Installation practice.
Illustratively, the computer program can be divided into one or more module/units, one or more
A module/unit is stored in the memory, and is executed by the processor, to complete the present invention.It is one or more
A module/unit can be the series of computation machine program instruction section that can complete specific function, and the instruction segment is for describing institute
State implementation procedure of the computer program in the electric system small interference stability terminal device.
The electric system small interference stability terminal device can be desktop PC, notebook, palm PC and cloud
Server etc. is held to calculate equipment.The electric system small interference stability terminal device may include, but be not limited only to, and processor is deposited
Reservoir.It will be understood by those skilled in the art that the schematic diagram is only the example of electric system small interference stability terminal device,
The restriction to electric system small interference stability terminal device is not constituted, may include components more more or fewer than diagram, or
Person combines certain components or different components, such as the electric system small interference stability terminal device can also include defeated
Enter output equipment, network access equipment, bus etc..
Alleged processor 11 can be central processing unit (Central Processing Unit, CPU), can also be
Other general processors, digital signal processor (Digital Signal Processor, DSP), specific integrated circuit
(Application Specific Integrated Circuit, ASIC), ready-made programmable gate array (Field-
Programmable Gate Array, FPGA) either other programmable logic device, discrete gate or transistor logic,
Discrete hardware components etc..General processor can be microprocessor or the processor is also possible to any conventional processor
Deng the processor is the control centre of the electric system small interference stability terminal device, and various interfaces and route is utilized to connect
Connect the various pieces of entire electric system small interference stability terminal device.
The memory 12 can be used for storing the computer program and/or module, and the processor is by operation or holds
Row stores computer program and/or module in the memory, and calls the data being stored in memory, realizes institute
State the various functions of electric system small interference stability terminal device.The memory can mainly include storing program area and storage number
According to area, wherein storing program area can application program needed for storage program area, at least one function (for example sound plays function
Energy, image player function etc.) etc.；Storage data area can store according to mobile phone use created data (such as audio data,
Phone directory etc.) etc..In addition, memory may include high-speed random access memory, it can also include nonvolatile memory, example
Such as hard disk, memory, plug-in type hard disk, intelligent memory card (Smart Media Card, SMC), secure digital (Secure
Digital, SD) card, flash card (Flash Card), at least one disk memory, flush memory device or other volatibility are solid
State memory device.
Wherein, if the integrated module/unit of the electric system small interference stability terminal device is with SFU software functional unit
Form realize and when sold or used as an independent product, can store in a computer readable storage medium.
Based on this understanding, the present invention realizes all or part of the process in above-described embodiment method, can also pass through computer journey
Sequence is completed to instruct relevant hardware, and the computer program can be stored in a computer readable storage medium, the meter
Calculation machine program is when being executed by processor, it can be achieved that the step of above-mentioned each embodiment of the method.Wherein, the computer program packet
Include computer program code, the computer program code can for source code form, object identification code form, executable file or
Certain intermediate forms etc..The computer-readable medium may include: any reality that can carry the computer program code
Body or device, recording medium, USB flash disk, mobile hard disk, magnetic disk, CD, computer storage, read-only memory (ROM, Read-
Only Memory), random access memory (RAM, Random Access Memory), electric carrier signal, telecommunication signal and
Software distribution medium etc..
It should be noted that the apparatus embodiments described above are merely exemplary, wherein described be used as separation unit
The unit of explanation may or may not be physically separated, and component shown as a unit can be or can also be with
It is not physical unit, it can it is in one place, or may be distributed over multiple network units.It can be according to actual
It needs that some or all of the modules therein is selected to achieve the purpose of the solution of this embodiment.In addition, device provided by the invention
In embodiment attached drawing, the connection relationship between module indicate between them have communication connection, specifically can be implemented as one or
A plurality of communication bus or signal wire.Those of ordinary skill in the art are without creative efforts, it can understand
And implement.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art
For, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also considered as
Protection scope of the present invention.
Claims (8)
1. a kind of electric system small interference stability method characterized by comprising
The knots modification and eigenvalue and empty of power system controller parameter are determined according to disturbed matrix exgenvalue property theorem
First relational expression of axis intersection point；
Determine that several have solution section according to first relational expression, wherein described to have solution section for there are electric power system controls
The knots modification of device parameter, so as to be had on this section according to the POWER SYSTEM STATE matrix after power system controller parameter change
Eigenvalue and imaginary axis intersection point；
By dichotomy it is several have the knots modification of the power system controller parameter and described is solved in solution section respectively
Eigenvalue and imaginary axis intersection point, to form the change duration set of power system controller parameter and form characteristic value and imaginary axis friendship
The set of point；
The smallest knots modification of absolute value in the change duration set of the power system controller parameter is chosen, according to the absolute value
The smallest knots modification chooses corresponding characteristic value and imaginary axis intersection point；
According to the smallest knots modification of the absolute value and corresponding characteristic value with imaginary axis intersection point to the parameter of power system controller
It is adjusted.
2. electric system small interference stability method as described in claim 1, which is characterized in that described according to disturbed matrix character
It is worth property theorem, comprising:
POWER SYSTEM STATE matrix in the inearized model of power system controller state modulator electric system changes
POWER SYSTEM STATE matrix after change；Wherein, the POWER SYSTEM STATE matrix after change isδ is the electricity
The knots modification of Force system controller parameter, the substrate coefficient matrix of D and E controller parameter K in state matrix A；
IfThenAnd if only if 1 ∈ σ (δ E (λ I-A)-1D), wherein σ indicate characteristic value set.
3. electric system small interference stability method as claimed in claim 2, which is characterized in that determine that power system controller is joined
First relational expression of several knots modification and eigenvalue and imaginary axis intersection point, comprising:
The knots modification and eigenvalue and empty of power system controller parameter are obtained according to preset imaginary axis upper half relational expression
First relational expression of axis intersection point；
Wherein, preset imaginary axis upper half relational expression are as follows: z=α ρz；Wherein α=j1, ρz∈ [0 ,+∞)；
First relational expression is δ=1/ μ, β=α ρ；
Wherein, μ and ρ meets following relationship: μ ∈ σ (E (α ρ I- Α)-1D) and Im (μ)=0, ρ ∈ [0 ,+∞).
4. electric system small interference stability method as claimed in claim 3, which is characterized in that described according to first relationship
Formula determines that several have solution section, wherein it is described have solution section be there are the knots modification of power system controller parameter, so that root
There are eigenvalue and imaginary axis intersection point on this section according to the POWER SYSTEM STATE matrix after power system controller parameter change,
Include:
According to the first relational expression defined function N (ρ),WhereinIt isQuantity,MeetAnd
In response to N (ρ1)=N (ρ2)+1 or N (ρ1)=N (ρ2) -1, it is determined that [ρ1,ρ2] it is to have solution section；
In response to N (ρ1)=N (ρ2), it is determined that [ρ1,ρ2] it is without solution section.
5. a kind of electric system small interference stability device characterized by comprising
First control module, for determining the knots modification of power system controller parameter according to disturbed matrix exgenvalue property theorem
And the first relational expression of eigenvalue and imaginary axis intersection point；
Second control module, for determining that several have solution section according to first relational expression, wherein it is described have solution section be
There are the knots modifications of power system controller parameter, so that according to the POWER SYSTEM STATE after power system controller parameter change
Matrix has eigenvalue and imaginary axis intersection point on this section；
Computing module, for by dichotomy it is several have solution section in solve changing for the power system controller parameter respectively
Variable and the eigenvalue and imaginary axis intersection point, to form the change duration set of power system controller parameter and be formed special
The set of value indicative and imaginary axis intersection point；
Module is chosen, the smallest knots modification of absolute value in the change duration set for choosing the power system controller parameter,
Corresponding characteristic value and imaginary axis intersection point are chosen according to the smallest knots modification of the absolute value；
Parameter adjustment module is used for according to the smallest knots modification of the absolute value and corresponding characteristic value and imaginary axis intersection point to electric power
The parameter of system controller is adjusted.
6. electric system small interference stability device as claimed in claim 5, which is characterized in that described according to disturbed matrix character
It is worth property theorem, comprising:
POWER SYSTEM STATE matrix in the inearized model of power system controller state modulator electric system changes
POWER SYSTEM STATE matrix after change；Wherein, the POWER SYSTEM STATE matrix after change isδ is the electricity
The knots modification of Force system controller parameter, the substrate coefficient matrix of D and E controller parameter K in state matrix A；
IfThenAnd if only if 1 ∈ σ (δ E (λ I-A)-1D), wherein σ indicate characteristic value set.
7. a kind of electric system small interference stability terminal device, which is characterized in that including processor, memory and be stored in institute
The computer program executed by the processor is stated in memory and is configured as, the processor executes the computer program
Electric system small interference stability method of the Shi Shixian as described in any one of Claims 1-4.
8. a kind of computer readable storage medium, which is characterized in that the computer readable storage medium includes the calculating of storage
Machine program, wherein equipment where controlling the computer readable storage medium in computer program operation is executed as weighed
Benefit require any one of 1 to 4 described in electric system small interference stability method.
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| CN201910693715.2A CN110350529B (en) | 2019-07-30 | 2019-07-30 | Small interference stabilizing method, device, equipment and storage medium for power system |
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| CN201910693715.2A CN110350529B (en) | 2019-07-30 | 2019-07-30 | Small interference stabilizing method, device, equipment and storage medium for power system |
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| CN110350529A true CN110350529A (en) | 2019-10-18 |
| CN110350529B CN110350529B (en) | 2021-01-19 |
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