CN106066440B - A kind of PSS negative dampings detection method - Google Patents
A kind of PSS negative dampings detection method Download PDFInfo
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- CN106066440B CN106066440B CN201610688266.9A CN201610688266A CN106066440B CN 106066440 B CN106066440 B CN 106066440B CN 201610688266 A CN201610688266 A CN 201610688266A CN 106066440 B CN106066440 B CN 106066440B
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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
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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
- G01R31/34—Testing dynamo-electric machines
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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
- G01R31/34—Testing dynamo-electric machines
- G01R31/343—Testing dynamo-electric machines in operation
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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
- G01R31/34—Testing dynamo-electric machines
- G01R31/346—Testing of armature or field windings
Abstract
The present invention provides a kind of PSS negative dampings detection methods.On the basis of phasor analysis, intuitive judgment to PSS positive dampings and negative damping is realized by graphical method, so as to fulfill the detection to PSS negative dampings, or it is further advanced by the comparison of the excitation system injection oscillation energy of excitation system injection oscillation energy and PSS when exiting when being put into PSS, more accurately judge PSS generations in detail is positive damping or negative damping, so as to be detected to PSS negative dampings, or the comparison of excitation system injection oscillation energy of the excitation system injection oscillation energy and PSS when directly by being put into PSS when exiting, accurately judge PSS generations in detail is positive damping or negative damping.Whether the present invention program causes negative damping to be detected a certain oscillation mode, and in detection process the PSS of generator, does not need to switching operating mode.
Description
Technical field
The present invention relates to a kind of PSS negative dampings detection methods, are suitable for electric power system stability control more particularly to one kind
The PSS negative damping detection methods of technical field.
Background technology
Low-frequency oscillation is one of significant problem that modern power systems is threatened to face.When low-frequency oscillation occurs, in system
Voltage, power, frequency can vibrate, and bring and seriously affect for system operation.Power system stabilizer, PSS (Power System
Stabilizer, PSS) it is the low-frequency oscillation restraining device being most widely used.Pass through reaction generator rotating speed, frequency, electromagnetism
The signals such as power, the processing such as filtered, amplification, phase compensation, one additional excitation reference signal of generation act on excitation unit,
To change excitation voltage and then change generator electromagnetic power so that a positive damping torque is generated on generator amature, is risen
To the effect for inhibiting hunting of generator.
As a kind of equipment for providing positive damping for generator and electric system, PSS is also possible to provide negative damping.It is
No offer positive damping, the parameter depending on PSS is to the adaptability of operating mode.In off-line setting calculation, inappropriate phase compensation parameter,
The reasons such as excessive or too small amplification factor are likely to so that PSS provides negative damping.In actual motion, the variation of operating mode
The parameter become discomfort adjusted in advance may be caused to answer, and then generate negative damping.Therefore, whether detection PSS is that electric system carries
Positive damping has been supplied to be of great significance.
The method of existing detection PSS negative dampings mainly has：
1st, the negative damping analysis of cases and detection method electric system of Zhang Junfeng, Li Peng and Guo Qi, PSS2A model are automatic
Change, 2014.38 (02):The 127-130 pages.
By having the article pointed out limitation existing for existing PSS field experiments method and proposed solution.It is because live
Experiment possibly can not excite all oscillation modes, if there are some pattern to excite for system, and the mode oscillating frequency and
The mode oscillating frequency difference that can be excited is larger, then field test can not judge.For this problem, propose emulating
It is middle generator rotary inertia H and to respond adjustment PSS parameter with changing, make be possible to oscillation mode that can excite, to verify
PSS is in all frequencies of oscillation to the inhibition of oscillation.
The limitation of this method is：Judge that the positive and negative of PSS dampings needs to compare PSS inputs and move back under a certain oscillation mode
Waveform when going out.For true generator, this does not allow.
2nd, check method (patent of invention) is rolled based on multi-data source power grid unit PSS positive dampings validity, which carries
Check method is rolled for being based on multi-data source power grid unit PSS positive dampings validity.It is right after the generation of each oscillation event
Whether PSS, which provides negative damping, is verified, with find early unit PSS there are the problem of, ensure that it is played in transient process
Due effect.
This method is limited in that：The similarity system design method used during certain generator PSS negative dampings is detected, is lacked stringent
Theoretical foundation.
Invention content
The technical problem to be solved in the present invention is to provide a kind of PSS negative dampings detection method, to the PSS of generator to a certain
Whether oscillation mode causes negative damping to be detected, and in detection process, does not need to switching operating mode.
The technical solution adopted by the present invention is as follows：A kind of PSS negative dampings detection method, specific detection method step are：
Step 1: obtain the excitation voltage u of generator under generator declared working conditionfNWith exciting current ifN, and calculate excitation
Winding resistanceObtain the excitation voltage u during hunting of generatorf, exciting current if, generator terminal voltage VtWith
The additional excitation reference voltage V of PSS outputsS；
Step 2: the magnetic linkage differential during calculating hunting of generator
Step 3: as shown in Table 1, to uf、if、Vt、VS、It is recognized, obtains the excitation voltage amplitude under holotype
Δufm, decay factor σuf, frequency fuf, initial phase α；Obtain the exciting current amplitude Δ i under holotypefm, decay factor σif, frequency
Rate fif, initial phase β；Obtain the set end voltage amplitude Δ V under holotypetm, decay factor σVt, frequency fVt, initial phaseIt obtains
The additional excitation reference voltage amplitude Δ V of PSS outputs under holotypeSm, decay factor σS, frequency fS, initial phaseIt obtains
Magnetic linkage differential amplitude ψ under holotypefm, decay factor σψf, frequency fψf, initial phase
Theoretically, σuf=σif=σVt=σS=σψf, fuf=fif=fVt=fS=fψf。
But practical identification result is there are minute differences, so being averaged determining oscillation mode；Wherein, it takes
Then calculate mean oscillatory pattern s=σ+j ω=σ+j2 π f；
Step 4: according to amplitude and phase formation departure phasor
Step 5: calculating excitation system transmission function phasor, that is, calculate excitation system amplification factor and phase：
Step 6: calculate the corresponding excitation voltage phasor component of generator terminal voltage phasor：
Calculate the corresponding excitation voltage phasor component of PSS phasors：
Step 7: to phasorStandardization is done, allows all phasors
It is multiplied by a phasorSo that the magnetic linkage deviation differential phasor after standardizationAnd remaining phasorWithThe relative phase difference and size of phasor are constant；
Step 8: mapping by starting point of origin, phasor is drawn WithFor starting point, phasor is drawnWith coordinate (0,0.5) for the center of circle, a diameter of 1 is done
Circle；
Step 9: judged, ifIt is outer in circle andIn circle orIn the straight of y=1
Above line andBelow the straight line of y=1, then PSS generates positive damping；IfCircle in andIn circle
Outside orBelow the straight line of y=1 andAbove the straight line of y=1, then negative damping is generated.
The intuitive judgment to PSS positive dampings and negative damping is realized above by the graphical method for making circle, so as to fulfill right
The detection of PSS negative dampings.
Table one
Under normal circumstances, under the generator declared working condition generator excitation voltage ufNWith exciting current ifN, oscillation period
Between excitation voltage uf, exciting current ifWith generator terminal voltage VtIt can directly read under normal circumstances；Or it is filled by measuring
The data of generator detected during the low frequency oscillations for putting measurement and wave recording device record, including：Excitation voltage uf, encourage
Magnetoelectricity stream if, set end voltage Vt, PSS output VSOr PSS input quantities VSiAnd PSS transmission functions GPSS(s).If PSS exports nothing
Method VSIt can not directly read, then can be calculated according to the input of PSS and transmission function.
It in the step 3, when being recognized, is identified using identification program, such as identifications such as Prony, TLS-Esprit
Any one in program.This class method is technology maturation in electric system, is widely used, can pick out frequency of oscillation,
Amplitude, decay factor and initial phase etc. vibrate key parameter.
In the step 7, ifThen phasor isWith subscript N
Represent the variable after standardization, then
The method step further includes, and calculates oscillation energy, when PSS is put into, excitation system injection oscillation energy(define phasor operationWherein
For arbitrary phasor)；When PSS is exited, estimation exciting current isWhen setting PSS is exited
Excitation system injection oscillation energyCompare UexAnd Uex0Size, if Uex＜ Uex0
Then PSS produces positive damping；If Uex＞ Uex0Then PSS produces negative damping.
The ratio of excitation system injection oscillation energy when excitation system injection oscillation energy and PSS when PSS is put into exit
Compared with more accurately judge PSS generations in detail is positive damping or negative damping, so as to be detected to PSS negative dampings.
A kind of PSS negative dampings detection method, specific detection method step are：
Step 1: obtain the excitation voltage u of generator under generator declared working conditionfNWith exciting current ifN, and calculate excitation
Winding resistanceObtain the excitation voltage u during hunting of generatorf, exciting current if, generator terminal voltage VtWith
The additional excitation reference voltage V of PSS outputsS；
Step 2: the magnetic linkage differential during calculating hunting of generator
Step 3: to uf、if、Vt、VS、It is recognized, obtains the excitation voltage amplitude Δ u under holotypefm, attenuation because
Sub- σuf, frequency fuf, initial phase α；Obtain the exciting current amplitude Δ i under holotypefm, decay factor σif, frequency fif, initial phase
β；Obtain the set end voltage amplitude Δ V under holotypetm, decay factor σVt, frequency fVt, initial phaseIt obtains under holotype
The additional excitation reference voltage amplitude Δ V of PSS outputsSm, decay factor σS, frequency fS, initial phaseIt obtains under holotype
Magnetic linkage differential amplitude ψfm, decay factor σψf, frequency fψf, initial phase
Wherein, it takes
Then calculate mean oscillatory pattern s=σ+j ω=σ+j2 π f；
Step 4: according to amplitude and phase formation departure phasor
Step 5: calculating excitation system transmission function phasor, that is, calculate excitation system amplification factor and phase：
Step 6: calculate the corresponding excitation voltage phasor component of generator terminal voltage phasor：
Calculate the corresponding excitation voltage phasor component of PSS phasors：
Step 7: when PSS is put into, excitation system injection oscillation energyWhen PSS is exited
When, estimation exciting current isExcitation system injection oscillation energy when setting PSS is exited
Step 8: being judged, compare UexAnd Uex0Size, if Uex＜ Uex0Then PSS produces positive damping；If
Uex＞ Uex0Then PSS produces negative damping.According to two methods, it can determine whether out that PSS produces positive damping.
Excitation system injection oscillation energy when excitation system injection oscillation energy and PSS when being put into based on PSS are exited
Comparison, it is accurate it is detailed judged that PSS generates is positive damping or negative damping, so as to be detected to PSS negative dampings.
The theoretical foundation and inference being based below with regard to the present invention program are described in detail：
According to oscillation source Location Theory, can be sentenced by control device to the positive and negative and size of generator injection oscillation energy
The disconnected damping that it is provided.According to document:Negative damping Energy Mechanisms of the such as Yang Yiqiang, Liu Tianqi, Li Xingyuan based on equivalent circuit method
And oscillation source localization method inquires into Automation of Electric Systems, 2015.39 (10):The 63-68 pages, excitation system is noted to generator
The oscillation energy entered can with Fig. 1 shows.As shown in Figure 1, the energy provided with voltage source represents that excitation system is noted to generator
The oscillation energy entered.It follows that section (t at any time1,t2) in, the oscillation energy of excitation system injection generator is：
Work as Wex>When 0, negative damping is presented in excitation system.If WexPersistently increasing to generator and electric power networks can not absorb
During the oscillation energy of excitation system injection, there is increasing oscillation or is vibrated long lasting for property in system., whereas if excitation system
It is negative, i.e. W to inject hunting of generator energyex<0, excitation system provides positive damping for generator and electric system.Positive damping can be with
System oscillation is made faster to calm down.According to Fig. 1, except the oscillation energy that calculating excitation system is injected to generator, this can also be calculated
The oscillation energy that circuit is sent out to outside：
According to the definition of generator practical parameter,And consider
Fig. 1 can be further simplified, as shown in Figure 2 by energy relation of equality.Power supply injection oscillation energy, the resistance of circuit shown in Fig. 2
It is identical all with circuit shown in Fig. 1 that energy and circuit, which are consumed, to the oscillation energy of outside submitting.
Equation shown in Fig. 2 circuitsIt is by generator excitation winding voltage equation
What linearisation obtained.It follows that WfWhat is represented is the oscillation energy that Exciting Windings for Transverse Differential Protection is injected to generator other parts.If magnetic
Winding injection oscillation energy is fully big, so that Exciting Windings for Transverse Differential Protection damping resistance rfExcitation system injection oscillation energy can not be fully absorbed
It measures, then the oscillation energy is spread to generator rest part.
In the prior art, PSS negative dampings detection basic principle is：
For oscillation is made to calm down as early as possible, excitation system offer damping as much as possible is needed, that is, to allow WexAs far as possible
It is small.From the angle of oscillation energy, the effect of PSS seeks to the oscillation energy W that excitation system is allowed to be injected in oscillatory processex.pss
The oscillation energy W that excitation system is injected when being exited less than PSSex0.If that is, Wex.pss<Wex0, PSS provides positive resistance
Buddhist nun；If Wex.pss>Wex0, then PSS provide negative damping.
For a certain generator, W can not possibly be calculated simultaneously in an oscillation eventex.pssAnd Wex0's.Because at this
In secondary oscillation event, if PSS has been put into, then excitation voltage and the exciting current data that PSS is not put into cannot be obtained；
Vice versa.
Theoretically, for the generator of input PSS, PSS can be exited, excitation at the same conditions is vibrated to obtain
It obtains excitation voltage and exciting current calculates Wex0.This way is inapplicable for the generator of actual motion.Excitation is shaken again
Swinging can cause to impact to generator, and system operation can be affected.Therefore, it is necessary to a kind of methods, are thrown in known generators PSS
In the case of fashionable excitation voltage, exciting current, excitation system injection oscillation energy W when PSS is exited is estimatedex0。
Because WexWhat is calculated is the energy of the oscillation mode injection of concern, and the departure of exciting current and excitation voltage is only examined
Consider the component of the oscillation mode, the departure of exciting current and excitation voltage is respectively
Δuf=Δ ufmeσtcos(ωt+α)
Δif=Δ ifmeσt cos(ωt+β)
The instantaneous power of oscillation energy is
Section 2 in the instantaneous power expression formula of oscillation energyFor exchange point
Amount, when system is presented underdamping, σ ≈ 0, close to self-sustained oscillation, the exchange oscillation energy generation of injection in integer cycle of oscillation
Number and close to 0.Therefore, in injection oscillation energy calculates, this does not play a major role.It is played certainly in oscillation energy calculating
Qualitative effect is first itemThis component is DC component, and positive and negative and size determines
The positive and negative and size of oscillation energy.Attenuation can be neglected under underdamping operating mode, it willAs oscillation
The replacement computational methods of energy.
Oscillation energy can be further simplified as using phasor calculation.Excitation voltage deviation delta ufWith exciting current deviation delta if
Phasor can be expressed as, respectivelyWith
Relationship between instantaneous value and phasor is：
The oscillation mode of confirmation analysis is σ+j ω, can neglect decay factor and oscillation angular frequency in phasor again, only
Retain amplitude and initial phase, excitation voltage deviation phasor and exciting current deviation phasor representation are
Define operation
For WexReplacement computational methods.It is similar with excitation system injection hunting of generator energy, it uses
Represent the oscillation energy W that Exciting Windings for Transverse Differential Protection is sent out to outsidef。
Phasor method can be used to explain that PSS generates the mechanism of damping.Typical excitation control system structure chart such as Fig. 3 institutes
Show.When disregarding PSS effects, VS=0.The generator terminal voltage V measured is obtained through voltage measurement linkt, with excitation reference voltage
VrefCompare, input of the obtained voltage deviation signal as field regulator, exciter output excitation voltage ufAct on power generation
Machine Exciting Windings for Transverse Differential Protection.When PSS is acted on, the additional control signals V as excitation system is exportedS, VSWith VrefThe sum of as with VtThan
Compared with signal, obtain input of the voltage deviation as field regulator.
The transmission function of exciter adjuster and exciter is Gex(s), excitation voltage is with the relationship inputted
uf=Gex(s)(Vref+VS-Vt)
When system vibrates, the oscillation mode of concern is σ+j ω, the set end voltage deviation phasor of the oscillation modePSS exports phasorExcitation voltage phasorBetween relationship be
When PSS is exited, then takeExcitation voltage offset relation is as caused by set end voltage deviation
Exciter generates excitation voltage ufIt acts on after Exciting Windings for Transverse Differential Protection, it will exciting current i is generated in Exciting Windings for Transverse Differential Protectionf,
Relationship between excitation voltage and exciting current isIt is with phasor representation during oscillation
With s instead of differential operator in formula.In underdamping pattern, meet s=σ+j ω ≈ j ω.So phasor
In advanceAbout 90 °.It enablesPhase for 90 °, thenPhase be about 0 °.Accordingly, Fig. 4 can be made.
In Fig. 4,For the set end voltage deviation phasor of actual measurement,Excitation voltage deviation phasor, phasorWith
Between relationship depend on excitation system transmission function Gex(s) and oscillation mode σ+j ω.Because LagAngle be Amplitude isThe K of amplitudeexTimes.Connect phasorWithIt can then obtain
It arrivesAnd phasorWithBetween angle be alpha-beta.The positive and negative excitation system that characterizes of cos (alpha-beta) is to generator
The positive and negative of oscillation energy is injected, when | alpha-beta | during 90 ° of ＞, excitation system injects oscillation energy to generator；| alpha-beta | during 90 ° of ＜,
Excitation system absorbs oscillation energy from generator.With coordinateFor the center of circle,It is drawn for radius
One circle, circle inner region are the absorption oscillation energy region of excitation system, and oscillation energy area is injected in outer circle domain for excitation system
Domain.
Similarly, the oscillation energy W that Exciting Windings for Transverse Differential Protection is injected to generator rest partfUse UfAfter expression, UfPositive and negative depend on
PhasorWith phasorAngle γ.As 90 ° of γ ＞, Vf＜ 0；As 90 ° of γ ＜, Vf＞ 0.Therefore, coordinate is crossedA straight line for being parallel to horizontal axis is done, straight line region below represents that excitation system absorbs shaking in generator
Excitation system injection can be fully absorbed and shake to generator injection oscillation energy and Exciting Windings for Transverse Differential Protection damping by swinging energy or excitation system
Swing energy；Straight line area above represents that excitation system injection oscillation energy is excessive, and Exciting Windings for Transverse Differential Protection damping can not fully absorb,
Extra oscillation energy will be transported to generator rest part.
After PSS is put into, excitation voltage deviation phasor is made of two parts,
From the angle of oscillation energy, the effect of PSS is exactly
By introducing additional reference voltages, and then introduce voltage deviation amount componentCause excitation voltage deviation
Phasor is moved to the smaller region of injection oscillation energy from the region of injection oscillation energy bigger.As shown in Figure 5.
In Fig. 5, the voltage deviation phasor component that PSS is introduced causes excitation voltage deviation phasor to be moved in circle from circle is outer,
Excitation system is allowed to be become absorbing oscillation energy from injection oscillation energy, so, PSS plays the role of positive damping.Conversely, such as Fig. 6
Shown, in other cases, the voltage deviation phasor component that PSS is introduced causes excitation voltage deviation phasor from straight lineArea above is moved toHereinafter, PSS causes oscillation energy to become from Exciting Windings for Transverse Differential Protection injection generator
Exciting Windings for Transverse Differential Protection absorbs oscillation energy, so PSS plays the role of positive damping.
Excitation voltage deviation phasor is made of two parts when PSS is put intoRemoval
That part that PSS zone of action is come, willExcitation voltage deviation phasor when PSS is exited is estimated as,
Calculate withThe oscillation energy U of corresponding injectionex0。Uex0Oscillation when being put into PSS
Energy comparison.If Uex0＞ Uex, PSS presentation positive dampings；If Uex0＜ Uex, PSS presentation negative dampings.As shown in fig. 7,
It needs to estimate exciting current deviation phasor.Evaluation method is：
Compared with prior art, the beneficial effects of the invention are as follows：
Intuitive judgment to PSS positive dampings and negative damping is realized by the graphical method for making circle, is born so as to fulfill to PSS
The detection of damping.Excitation system injection oscillation energy when excitation system injection oscillation energy and PSS when being put into based on PSS are exited
The comparison of amount, it is accurate it is detailed judged that PSS generates is positive damping or negative damping, so as to be examined to PSS negative dampings
It surveys.Also, in detection process, switching operating mode is not needed to.
Description of the drawings
Fig. 1 injects oscillation energy schematic diagram for a kind of excitation system in the prior art.
Fig. 2 is the excitation system injection oscillation energy schematic diagram after simplifying to Fig. 1.
Fig. 3 is the excitation system structure chart that PSS generates damping mechanism.
Fig. 4 is phasor diagram.
Fig. 5 is the PSS mechanism figures in the case of a kind of positive damping.
Fig. 6 is the PSS mechanism figures in the case of a kind of positive damping.
Fig. 7 is PSS negative damping detection method mechanism figures.
Fig. 8 is the raw-data map of a wherein specific embodiment of the invention.
Fig. 9 is the magnetic linkage differential schematic diagram of a wherein specific embodiment of the invention.
Figure 10 is the present invention circle diagram that wherein a specific embodiment is made.
Specific embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, with reference to the accompanying drawings and embodiments, it is right
The present invention is further elaborated.It should be appreciated that specific embodiment described herein is only to explain the present invention, not
For limiting the present invention.
Any feature disclosed in this specification (including abstract and attached drawing), unless specifically stated, can be equivalent by other
Or the alternative features with similar purpose are replaced.That is, unless specifically stated, each feature is a series of equivalent or class
Like an example in feature.
Specific embodiment 1
Shown PSS negative dampings detection method (as shown in Figure 8), specific detection method step are：
Step 1: obtain the excitation voltage u of generator under generator declared working conditionfNWith exciting current ifN, and calculate excitation
Winding resistanceObtain the excitation voltage u during hunting of generatorf, exciting current if, generator terminal voltage VtWith
The additional excitation reference voltage V of PSS outputsS；
Step 2: the magnetic linkage differential during calculating hunting of generator
Step 3: to uf、if、Vt、VS、It is recognized, obtains the excitation voltage amplitude Δ u under holotypefm, attenuation because
Sub- σuf, frequency fuf, initial phase α；Obtain the exciting current amplitude Δ i under holotypefm, decay factor σif, frequency fif, initial phase
β；Obtain the set end voltage amplitude Δ V under holotypetm, decay factor σVt, frequency fVt, initial phaseIt obtains under holotype
The additional excitation reference voltage amplitude Δ V of PSS outputsSm, decay factor σS, frequency fS, initial phaseIt obtains under holotype
Magnetic linkage differential amplitude ψfm, decay factor σψf, frequency fψf, initial phase
Wherein, it takes
Then calculate mean oscillatory pattern s=σ+j ω=σ+j2 π f；
Step 4: according to amplitude and phase formation departure phasor
Step 5: calculating excitation system transmission function phasor, that is, calculate excitation system amplification factor and phase：
Step 6: calculate the corresponding excitation voltage phasor component of generator terminal voltage phasor：
Calculate the corresponding excitation voltage phasor component of PSS phasors：
Step 7: to phasorStandardization is done, allows all phasors
It is multiplied by a phasorSo that the magnetic linkage deviation differential phasor after standardizationAnd remaining phasorWithThe relative phase difference and size of phasor are constant；
Step 8: mapping by starting point of origin, phasor is drawn WithFor starting point, phasor is drawnWith coordinate (0,0.5) for the center of circle, a diameter of 1 is done
Circle；
Step 9: judged, ifIt is outer in circle andIn circle orIn the straight of y=1
Above line andBelow the straight line of y=1, then PSS generates positive damping；IfCircle in andIn circle
Outside orBelow the straight line of y=1 andAbove the straight line of y=1, then negative damping is generated.
In this embodiment, under declared working condition, ufN=1.597, ifN=1.598, calculate Exciting Windings for Transverse Differential Protection resistance rf=
0.994；As shown in fig. 7, read the excitation voltage in the duration of oscillation, exciting current, set end voltage and PSS outputs.As shown in figure 9,
Calculate the magnetic linkage differential in the duration of oscillationAs shown in Table 2, to uf、if、Vt、VS、It is recognized, is obtained
Amplitude and phase under pattern of interest, according to amplitude and phase formation departure phasor.
Table two
It is averaged as oscillation mode σ+j ω=- 0.323+j6.210
As shown in Table 3, according to amplitude and phase formation departure phasor：
Table three
Excitation system transmission function phasor is calculated, that is, calculates excitation system amplification factor and phase：
The corresponding excitation voltage phasor component of computer terminal voltage phasor：
Calculate the corresponding excitation voltage phasor component of PSS phasors：
As shown in Table 4, to phasorStandardization is done, allows all phasors
It is multiplied by a phasorSo that the magnetic linkage deviation differential phasor after standardizationAnd remaining phasor andThe relative phase difference and size of phasor are constant；IfThen phasor is
Variable after representing standardization with following table N, then
Table four
As shown in Figure 10, it maps, using origin as starting point, draws phasor WithFor starting point, phasor is drawnWith coordinate (0,0.5) for the center of circle, do straight
Diameter is 1 circle；IfIt is outer in circle andIn circle orAbove the straight line of y=1 and
Below the straight line of y=1, then PSS generates positive damping；IfCircle in andCircle it is outer orIn y
Below=1 straight line andAbove the straight line of y=1, then negative damping is generated.
It in the step 3, when being recognized, is identified using identification program, such as identifications such as Prony, TLS-Esprit
Any one in program.TLS-Esprit identification programs are used in this embodiment.
Specific embodiment 2
On the basis of specific embodiment 1, the method step further includes, and calculates oscillation energy, when PSS is put into, encourages
Magnetic system injects oscillation energyWhen PSS is exited, estimation exciting current is
Excitation system injection oscillation energy when setting PSS is exitedCompare UexAnd Uex0Size,
If Uex＜ Uex0Then PSS produces positive damping；If Uex＞ Uex0Then PSS produces negative damping.
In this embodiment,Uex=-0.0739, Uex0=1.7478
Specific embodiment 3
Difference lies in excitations when graphing method not being used to be judged, and being put into using PSS with specific embodiment 1 and 2
The comparison of excitation system injection oscillation energy when system injection oscillation energy and PSS are exited, progress accurately judge PSS in detail
What is generated is positive damping or negative damping, so as to be detected to PSS negative dampings.
Claims (3)
1. a kind of PSS negative dampings detection method, specific detection method step are：
Step 1: obtain the excitation voltage u of generator under generator declared working conditionfNWith exciting current ifN, and calculate Exciting Windings for Transverse Differential Protection
ResistanceObtain the excitation voltage u during hunting of generatorf, exciting current if, generator terminal voltage VtAnd PSS
The additional excitation reference voltage V of outputS；
Step 2: the magnetic linkage differential during calculating hunting of generator
Step 3: to uf、if、Vt、VS、It is recognized, obtains the excitation voltage amplitude Δ u under holotypefm, decay factor
σuf, frequency fuf, initial phase α；Obtain the exciting current amplitude Δ i under holotypefm, decay factor σif, frequency fif, initial phase β；
Obtain the set end voltage amplitude Δ V under holotypetm, decay factor σVt, frequency fVt, initial phaseObtain the PSS under holotype
The additional excitation reference voltage amplitude Δ V of outputSm, decay factor σS, frequency fS, initial phaseObtain the magnetic linkage under holotype
Differential amplitude ψfm, decay factor σψf, frequency fψf, initial phase
Wherein, it takes
Then calculate mean oscillatory pattern s=σ+j ω=σ+j2 π f；
Step 4: according to amplitude and phase formation departure phasor
Step 5: calculate excitation system transmission function phasor：
Step 6: calculate the corresponding excitation voltage phasor component of generator terminal voltage phasor：
Calculate the corresponding excitation voltage phasor component of PSS phasors：
Step 7: to phasorStandardization is done, all phasors is allowed to be multiplied by
One phasorSo that the magnetic linkage deviation differential phasor after standardizationAnd remaining phasorWithThe relative phase difference and size of phasor are constant；
Step 8: mapping by starting point of origin, phasor is drawn
WithFor starting point, phasor is drawnWith coordinate (0,0.5) for the center of circle, a diameter of 1 circle is done；Wherein,
Step 9: judged, ifIt is outer in circle andIn circle orAbove the straight line of y=1
AndBelow the straight line of y=1, then PSS generates positive damping；IfCircle in andCircle it is outer orBelow the straight line of y=1 andAbove the straight line of y=1, then negative damping is generated.
2. PSS negative dampings detection method according to claim 1, the method step further include, oscillation energy is calculated, when
When PSS is put into, excitation system injection oscillation energyWhen PSS is exited, estimation exciting current isExcitation system injection oscillation energy when setting PSS is exited
Compare UexAnd Uex0Size, if Uex＜ Uex0Then PSS produces positive damping；If Uex＞ Uex0Then PSS produces negative damping；
Wherein, phasor operation is definedWherein For
Arbitrary phasor.
3. a kind of PSS negative dampings detection method, specific detection method step are：
Step 1: obtain the excitation voltage u of generator under generator declared working conditionfNWith exciting current ifN, and calculate Exciting Windings for Transverse Differential Protection
ResistanceObtain the excitation voltage u during hunting of generatorf, exciting current if, generator terminal voltage VtAnd PSS
The additional excitation reference voltage V of outputS；
Step 2: the magnetic linkage differential during calculating hunting of generator
Step 3: to uf、if、Vt、VS、It is recognized, obtains the excitation voltage amplitude Δ u under holotypefm, decay factor
σuf, frequency fuf, initial phase α；Obtain the exciting current amplitude Δ i under holotypefm, decay factor σif, frequency fif, initial phase β；
Obtain the set end voltage amplitude Δ V under holotypetm, decay factor σVt, frequency fVt, initial phaseObtain the PSS under holotype
The additional excitation reference voltage amplitude Δ V of outputSm, decay factor σS, frequency fS, initial phaseObtain the magnetic linkage under holotype
Differential amplitude ψfm, decay factor σψf, frequency fψf, initial phase
Wherein, it takes
Then calculate mean oscillatory pattern s=σ+j ω=σ+j2 π f；
Step 4: according to amplitude and phase formation departure phasor
Step 5: calculate excitation system transmission function phasor：
Step 6: calculate the corresponding excitation voltage phasor component of generator terminal voltage phasor：
Calculate the corresponding excitation voltage phasor component of PSS phasors：
Wherein,
Step 7: when PSS is put into, excitation system injection oscillation energyWhen PSS is exited, estimate
Calculating exciting current isExcitation system injection oscillation energy when setting PSS is exited
Step 8: being judged, compare UexAnd Uex0Size, if Uex＜ Uex0Then PSS produces positive damping；If Uex＞
Uex0Then PSS produces negative damping；
Wherein, phasor operation is definedWherein
For arbitrary phasor.
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