CN107134776A - The centralized positioning of multi frequency system asynchronous oscillation and displacement path tracing system and method - Google Patents
The centralized positioning of multi frequency system asynchronous oscillation and displacement path tracing system and method Download PDFInfo
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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
Abstract
The invention discloses a kind of multi frequency system asynchronous oscillation centralized positioning for belonging to Power System Stability Analysis technical field and displacement path tracing system and method.The tracing system includes connected data acquisition module, step-out/oscillation center locating module, oscillation center displacement path tracing module and the result output module of order.The method for tracing includes：Gather network architecture parameters, generator's power and angle and rotating speed；According to data collecting module collected to parameter each node can be regarded as to an equivalent virtual machine, be two equivalent machine systems hence for each circuit, differentiate and position step-out/oscillation center；Follow the trail of and analyze oscillation center displacement path under unit step-out situation；Export multi frequency system step-out/oscillation center position and oscillation center displacement path.The correctness and validity that this method criterion and displacement path are followed the trail of are demonstrated by realtime digital simulation platform.
Description
Technical field
The invention belongs to Power System Stability Analysis technical field.Determine at more particularly to a kind of multi frequency system asynchronous oscillation center
Position and displacement path tracing system and method.
Background technology
With being continuously increased for interconnected network scale and complexity, power system stability problem becomes increasingly conspicuous.Operative practice
Show, stabilizing measures are improved anyway, always stability disruption may be caused due to some prior unpredictable accidentalia.
System stability disruption is mainly shown as that electrical potential difference between synchronous motor, generator rotor angle difference are changed over time to losing synchronization, this phenomenon
Referred to as asynchronous oscillation.After system asynchronous oscillation, it is controlled by if not adopting an effective measure, system causes power failure thing by out of control
Therefore.Can research shows, after vibration occurs, be accurately positioned oscillation center position, and takes effective control measure, to power grid security
Stable operation is significant.
At present, asynchronous oscillation center positioning method is broadly divided into two classes, and a class is that the oscillation center based on local information is determined
Position method, such as method based on apparent impedance track, IMPEDANCE ANGLE SEPARATION or Ucos φ can reflect the generator rotor angle of two side systems indirectly
Separation degree, so as to capture oscillation center.Another kind of is the oscillation center localization method based on Wide-area Measurement Information, is such as based on electrical quantity
The oscillation center recognition methods of frequency difference.But equivalent two machines system model being based on these researchs on oscillation center, more
The demand of complicated interconnected electric power system now can not be met.In complicated electric power system, oscillation center position can be moved in systems
Move, seriously endanger the safe and stable operation of power network.And oscillation center positioning and displacement road under group of planes step-out and multi-frequency oscillation
Footpath is also rarely reported.
In consideration of it, the present invention proposes a kind of multi frequency system asynchronous oscillation centralized positioning and displacement path tracing scheme, waiting
On the basis of the machine system model of value two, the equivalent three machine multi frequency system constant amplitude situations of ring-type are studied.First, by node
Three machine system equivalents are three two machine systems by the equivalent virtual machine of place's construction, show that the equivalent three machine systems of ring-type are lost by comparing
The localization method criterion of step/oscillation center, on this basis, follows the trail of and dissects the oscillation center displacement road under not synchronous/asynchronous operating mode
Footpath.Real-timedigital simulation (real time digital simulator, RTDS) platform validation this method criterion and displacement road
Correctness and validity that footpath is followed the trail of.
The content of the invention
It is an object of the invention to provide a kind of multi frequency system asynchronous oscillation centralized positioning and displacement path tracing system and side
Method, it is characterised in that the multi frequency system asynchronous oscillation centralized positioning and displacement path tracing system include the connected number of order
According to acquisition module, step-out/oscillation center locating module, oscillation center displacement path tracing module and result output module.
Described data acquisition module is used to gathering network architecture parameters, generator's power and angle and rotating speed in system, and will adopt
Collection data are sent to step-out/oscillation center locating module.
The parameter that described step-out/oscillation center locating module is arrived according to data collecting module collected, alternative route node
Between phase difference of voltage, find out with the immediate phase angle difference circuit of 180 degree, and then position ring-type multi frequency system oscillation center；
When phase angle difference is equal to 180 degree, the line voltage distribution minimum point is to differentiate and orientate as out-of-step center.
Described oscillation center displacement path tracing module is used in multi frequency system oscillation center position under unit step-out situation
Move the tracking and anatomy in path.
Described result output module is used to export multi frequency system step-out/oscillation center position and oscillation center displacement road
Footpath.
It the described method comprises the following steps：
Step 1：Data acquisition, collection network architecture parameters, generator's power and angle and rotating speed；
Step 2：Differentiate and position step-out/oscillation center, each node voltage is that each generator-motor gesture is by a certain percentage
Several superpositions, thus according to data collecting module collected to parameter each node can be regarded as to an equivalent virtual machine, from
And be two equivalent machine systems for each circuit；
Step 3：Follow the trail of and analyze oscillation center displacement path under unit step-out situation；
According to oscillation center localization method, follow the trail of and oscillation center displacement path under profiling system step-out situation, if three
Equal generator initial phase angle is zero, referred to as original state；Using the generator rotor angle of the first generator 1 as reference, the second generator 2 and the
The generator rotor angle of three generators 3 is respectively with rotational speed omega21、ω31It is changed with respect to the first generator 1；
Step 4：As a result export, output multi frequency system step-out/oscillation center position and oscillation center displacement path.
The sub-step of the step 2 is：
Sub-step 101：Ignore the influence of generator internal impedance, and set alternator amplitude unanimously, voltage of oscillation center amplitude is only
It is relevant with circuit both end voltage phase angle difference；Further, it was found from total system angle analysis, voltage phase between alternative route node is passed through
Angular difference δ21、δ31、δ32, it is system oscillation center with the immediate phase angle difference of 180 degree, thus obtains oscillation center in each circuit
Criterion it is as follows：
Criterion of the oscillation center on 1-2 circuits：
Criterion of the oscillation center on 3-1 circuits：
Criterion of the oscillation center on 3-2 circuits：
In formula：δ21Poor, the δ for 1-2 circuit two-terminal generator generator rotor angles31Poor, the δ for 3-1 circuit two-terminal generator generator rotor angles32For 3-2
Circuit two-terminal generator generator rotor angle is poor；
Sub-step 102：In the case of multi-frequency oscillation, if node voltage phase place difference in circuit both sides is 180 degree, step-out is determined as
Center is simultaneously positioned at the line voltage distribution minimum point.
Using the generator rotor angle of the first generator 1 as reference in the step 3, the generator rotor angle point of the second generator 2 and the 3rd generator 3
Not with rotational speed omega21、ω31It is changed with respect to the first generator 1；In vibration initial time, specifically include：
(1) is due to δ31=δ21+δ32, δ31It is maximum and less than 180 °, therefore system oscillation is centrally located at 1-3 circuits, until
ω31T=δ31At=180 °, there is out-of-step center in 1-3 circuits, and voltage magnitude minimum point is zero；
(2) ω is worked as31=2 ω21When：From ω31T=δ31From=240 ° of moment, due to now 0 °<(360°-δ31)<δ21=δ32
<180 °, oscillation center is moved to 1-2 circuits and 2-3 circuits, while there are two oscillation centers, and synchronous holding；Work as ω21T=
δ21At=180 °, there are two out-of-step centers；Work as ω31T=δ31At=480 °, due to now 0 °<(360°-δ21360 ° of)=(-
δ32)<(δ31-360°)<180 °, oscillation center is migrated to 1-3 circuits again；
(3) ω is worked as31<2ω21When：From ω21T=360 ° of-ω31T rises, due to 0 °<δ32<δ21<180 ° and 0 °<
(360°-δ31)<δ21<180 °, oscillation center starts to move to 1-2 circuits；Work as ω21T=δ21At=180 °, out-of-step center occurs
In 1-2 circuits；Work as ω31T=δ31At=360 °, due to now 0 °<(δ31-360°)<δ32<180 ° and 0 °<(360°-δ21)<δ32<
180 °, oscillation center starts to move to 2-3 circuits；
(4) ω is worked as31>2ω21When：From (ω31-ω21) t=360 ° of-ω31T rises, due to 0 °<δ21<δ32<180 ° and 0 °
<(360°-δ31)<δ32<180 °, oscillation center starts to migrate to 2-3 circuits；As (ω31-ω21) t=180 ° when, out-of-step center goes out
Present 2-3 circuits；Work as ω31T=δ31At=360 °, due to now 0 °<(δ31-360°)<δ21<180 ° and 0 °<(360°-δ32)<
δ21<180 °, oscillation center starts to move to 1-2 circuits；
To sum up, it can be deduced that system oscillation the center displacement path such as table 1：
Table 1
It is three two machines by three machine system equivalents the beneficial effects of the invention are as follows by constructing equivalent virtual machine at node
System, the localization method criterion of the equivalent three machine system step-outs/oscillation center of ring-type is drawn by comparing, and on this basis, is followed the trail of
And the oscillation center displacement path under the different operating modes of profiling system step-out, realtime digital simulation platform (RTDS) demonstrates the party
Correctness and validity that method criterion and displacement path are followed the trail of.
Brief description of the drawings
Fig. 1 is step-out/oscillation center positioning and displacement path tracking system architecture figure.
Fig. 2 is the equivalent three machine system models of ring-type.
Fig. 3 is each point voltage on 1-2 circuits.
Fig. 4 is rotational speed omega31=2 ω21Phase amount variation diagram.
Fig. 5 is rotational speed omega31<2ω21Phase amount variation diagram.
Fig. 6 is rotational speed omega31>2ω21Phase amount variation diagram.
Fig. 7 is rotational speed omega31=2 ω21When each line voltage distribution phase angle difference.
Fig. 8 is rotational speed omega31<2ω21When each line voltage distribution phase angle difference.
Fig. 9 is rotational speed omega31>2ω21When each line voltage distribution phase angle difference.
Embodiment
The present invention provides a kind of multi frequency system asynchronous oscillation centralized positioning and displacement path tracing system and method, ties below
Accompanying drawing is closed, the present invention is elaborated.
Fig. 1 show step-out/oscillation center positioning and displacement path tracking system architecture figure.Step-out/the oscillation center
Positioning and displacement path tracing system are included in the connected data acquisition module of order, step-out/oscillation center locating module, vibration
Heart displacement path tracing module and result output module.
Wherein, data acquisition module be used to gathering network architecture parameters, generator's power and angle and rotating speed in system, and will collection
Data are sent to step-out/oscillation center locating module.Step-out/oscillation center locating module is arrived according to data collecting module collected
Phase difference of voltage between parameter, alternative route node, find out with the immediate phase angle difference circuit of 180 degree, and then position ring-type it is many
The oscillation center of display system；When phase angle difference is equal to 180 degree, the line voltage distribution minimum point is to differentiate and orientate as out-of-step center.
Described oscillation center displacement path tracing module is used in multi frequency system oscillation center displacement path under unit step-out situation
Follow the trail of with dissecting.As a result output module is used to export multi frequency system step-out/oscillation center position and oscillation center displacement path.
Fig. 2 is the equivalent three machine system models of ring-type, and hypothesis below is made to the model：(1) each component parameters are not in system
Being changed by frequency is influenceed；(2) influence of shoulder load and capacitance current is not considered；(3) total system impedance angle is consistent；(4) three
Platform alternator amplitude keeps constant and consistent.Row write modal equation and are：
In formula,For each generator-motor gesture；For each node voltage；Z12, Z13, Z23For
Line impedance between two nodes；Z1, Z2, Z3For each generator internal impedance.
Modal equation shown in formula (4) is converted into abbreviation, obtained：
Order：
Because total system impedance angle is consistent, therefore aij(i=1,2,3；J=1,2,3) it is real number, obtain：
Make A-1=B, carries out matrixing and obtains：
Observation type (7) understands that, when system architecture does not change, and total system impedance angle is consistent, matrix A and matrix B are
Real matrix and only influenceed for definite value, i.e. node voltage by generator-motor gesture, generate electricity electromechanical when meeting power system oscillation
Under conditions of kinetic potential amplitude is constant, the size and phase of node voltage are only relevant with the phase angle of each generator.
From formula (7), each node voltage is the superposition of each generator-motor gesture coefficient by a certain percentage, therefore can will be respectively
Individual node regards an equivalent virtual machine as, is two equivalent machine systems hence for each circuit.For example for 1-2 lines
Road, node 1 regards an equivalent virtual machine as, and electromotive force isNode 2 regards an equivalent virtual machine as, and electromotive force isBut
It should be noted that the size and phase angle of equivalent virtual machine electromotive force are both needed to adjust in real time, determined jointly by three generator-motor gesture
It is fixed.
Oscillation center is positioned：
It is two equivalent machine systems for each circuit.Ignore the influence of generator internal impedance, and set alternator amplitude
Unanimously, voltage of oscillation center amplitude is only relevant with circuit both end voltage phase angle difference.Further, it was found from total system angle analysis,
Pass through phase difference of voltage δ between alternative route node21、δ31、δ32, it is system oscillation center with the immediate phase angle difference of 180 degree,
It can thus be concluded that oscillation center is as follows in the criterion of each circuit.
Criterion of the oscillation center on 1-2 circuits：
Criterion of the oscillation center on 3-1 circuits：
Criterion of the oscillation center on 3-2 circuits：
In formula：δ21Poor, the δ for 1-2 circuit two-terminal generator generator rotor angles31Poor, the δ for 3-1 circuit two-terminal generator generator rotor angles323-2 lines
Road two-terminal generator generator rotor angle is poor.
Out-of-step center is positioned：
If impedances and line impedance Z of any point p to node 1 on 1-2 circuits12Ratio be k, electric currentFlow to for from
Node 1 flows to node 2, and wherein k ∈ [0,1] have：
It can be obtained by formula (8)：
If the voltage landing on circuit 1-2 isFrom formula (9), if there is out-of-step center in the circuit,
That is circuit point voltageThenWithPhase difference must is fulfilled for the condition of 180 ° of difference, further obtainsNow, can obtain k in formula (9) is：
From formula (10), now k meets the condition of k ∈ [0,1], therefore in the case of multi-frequency oscillation, if circuit both sides
Node voltage phase place difference is 180 °, and line voltage distribution minimum point p is required out-of-step center.
Fig. 3 is 1-2 circuit each point voltage phasor-diagrams, above-mentioned conclusion can be also drawn by phasor diagram, due to total system impedance angle
Unanimously, therefore each point voltage is on circuit 1-2Minimum point voltage is line segment n on 1-2 circuits1n2's
Vertical lineOnly existWithWhen phase angle difference is 180 degree,It could be zero, now out-of-step center occur on 1-2 circuits.
Follow the trail of oscillation center displacement path under unit step-out situation：
Fig. 4 is rotational speed omega31=2 ω21When phasor variation diagram, ω31T=δ31=240 ° be initial time, 1-2 circuits and
There are two oscillation centers for keeping synchronous simultaneously in 2-3 circuits；ω21T=δ21There are two out-of-step centers in=180 ° of moment；ω31T=δ31=480 ° of moment oscillation center positions are progressively moved to 1-3 circuits.
Fig. 5 is rotational speed omega31<2ω21When phasor variation diagram, ω21T=360 ° of-ω31T is initial time, and 1-2 circuits go out
Existing oscillation center；ω21T=δ21There is out-of-step center in=180 ° of moment；ω31T=δ31=360 ° of moment oscillation center positions are progressively
It is moved to 2-3 circuits.
Fig. 6 is rotational speed omega31>2ω21When phasor variation diagram, (ω31-ω21) t=360 ° of-ω31T is initial time, 2-3
There is oscillation center in circuit；(ω31-ω21) out-of-step center occur in t=180 ° of moment；ω31T=δ31=360 ° of moment oscillation centers
Position is progressively moved to 1-2 circuits.
To verify the correctness of table 1 in the step 3, Simulation Model as shown in Figure 2 is built using RTDS, it is joined
Number is as follows：The long 300km of transmission line circuit between first generator 1 and the second generator 2, between the first generator 1 and the 3rd generator 3
Transmission line circuit long 500km, the long 400km of transmission line circuit between the second generator 2 and the 3rd generator 3, its positive sequence impedance R1=
0.022 Ω/km, X1=0.282 Ω/km, zero sequence impedance R0=0.053 Ω/km, X0=0.718 Ω/km；The equivalent system of generator 1
System impedance Z1=3.374+j45.16 Ω, Z10=0.67+j9.08 Ω, equivalent electromotive force isGenerator 2 etc.
Imitate system impedance Z2=3.364+j45.16 Ω, Z20=0.69+j9.08 Ω, equivalent electromotive force isGenerator 3
Equivalent system impedance Z3=3.364+j45.05 Ω, Z30=0.69+j9.08 Ω, equivalent electromotive force isSampling
Frequency is 2kHz；WithFor reference voltage, made by building control moduleRelativelyWith angular velocity omega in oscillatory process21Rotation
Turn,RelativelyWith angular velocity omega in oscillatory process31Rotation.
As shown in Figure 7, ω is worked as21=15 °/s, ω31During=30 °/s, during starting of oscillation, during t=0s to t=8s, 1-
3 circuit both end voltage phase angle differences are closer to 180 degree, therefore system oscillation is centrally located at 1-3 circuits, in t=7s, 1-3 circuits
On there is out-of-step center；During from t=8s to t=16s, 1-2 circuits and 2-3 both end voltage phase angle differences it is equal and closer to
180 degree, therefore system line oscillation center is moved to 1-2 circuits and 2-3 circuits, two synchronized oscillation centers occurs, in t=12s
When, there is out-of-step center in 1-2 circuits and 2-3 line synchronizations；Terminate in t=16s to emulation, 1-3 circuit both end voltage phase angle differences
Closer to 180 degree, therefore system oscillation center is migrated to 1-3 circuits again.As shown in Figure 8, ω is worked as21=20 °/s, ω31=30 °/
During s, during starting of oscillation, during t=0s to t=7.2s, 1-3 circuit both end voltage phase angle differences are closer to 180 degree, therefore system
Oscillation center is located at 1-3 circuits, in t=6.5s, out-of-step center occurs on 1-3 circuits；During t=7.2s to t=12s,
1-2 circuit both end voltage phase angle differences are closer to 180 degree, therefore system oscillation center is moved to 1-2 circuits, in t=7.5s, 1-
There is out-of-step center on 2 circuits；Terminated by t=12s to emulation, 2-3 circuit both end voltage phase angle differences closer to 180 degree, therefore
System oscillation center is migrated to 2-3 circuits again, in t=18s, out-of-step center occurs on 2-3 circuits.As shown in Figure 9, ω is worked as21
=10 °/s, ω31During=30 °/s, during vibration starting, during t=0s to t=7.2s, 1-3 circuit both end voltages phase angle difference is more
Close to 180 degree, therefore system oscillation is centrally located at 1-3 circuits, in t=6s, out-of-step center occurs on 1-3 circuits；In t=
During 7.2s to t=12s, 2-3 circuit both end voltage phase angle differences are closer to 180 degree, therefore system oscillation center is moved to 2-3 lines
Road；In t=8s, there is out-of-step center on 2-3 circuits；Terminate from t=12s to emulation, 1-2 circuit both end voltages phase angle difference is more
Close to 180 degree, therefore system oscillation center is migrated to 1-2 circuits again, as t=18s, out-of-step center occurs on 1-2 circuits.Symbol
The displacement path of system oscillation center under step-out situation in table 1 is closed, the correctness of method for tracing of the present invention is demonstrated.
Claims (4)
1. a kind of multi frequency system asynchronous oscillation centralized positioning and displacement path tracing system, it is characterised in that the multi frequency system
It is fixed that asynchronous oscillation centralized positioning and displacement path tracing system include the connected data acquisition module of order, step-out/oscillation center
Position module, oscillation center displacement path tracing module and result output module.
Described data acquisition module is used to gathering network architecture parameters, generator's power and angle and rotating speed in system, and will gather number
According to transmission to step-out/oscillation center locating module；
Between the parameter that described step-out/oscillation center locating module is arrived according to data collecting module collected, alternative route node
Phase difference of voltage, find out with the immediate phase angle difference circuit of 180 degree, and then position ring-type multi frequency system oscillation center；Work as phase
When angular difference is equal to 180 degree, the line voltage distribution minimum point is to differentiate and orientate as out-of-step center；
Described oscillation center displacement path tracing module is used in multi frequency system oscillation center displacement road under unit step-out situation
The tracking and anatomy in footpath；
Described result output module is used to export multi frequency system step-out/oscillation center position and oscillation center displacement path.
2. a kind of multi frequency system step-out/oscillation center positioning and displacement path method for tracing, it is characterised in that methods described includes
Following steps：
Step 1：Data acquisition, collection network architecture parameters, generator's power and angle and rotating speed；
Step 2：Differentiate and position step-out/oscillation center, each node voltage is each generator-motor gesture coefficient by a certain percentage
Superposition, thus according to data collecting module collected to parameter each node can be regarded as to an equivalent virtual machine so that right
It is two equivalent machine systems in each circuit；
Step 3：Follow the trail of and analyze oscillation center displacement path under unit step-out situation；It is if three generator initial phase angles are equal
Zero, referred to as original state；Using the generator rotor angle of the first generator (1) as reference, the work(of the second generator (2) and the 3rd generator (3)
Angle is respectively with rotational speed omega21、ω31It is changed with respect to the first generator (1)；
Step 4：As a result export, output multi frequency system step-out/oscillation center position and oscillation center displacement path.
3. a kind of multi frequency system step-out/oscillation center is positioned and displacement path method for tracing according to claim 2, its feature
It is, the sub-step of the step 2 is：
Sub-step 101：Ignore the influence of generator internal impedance, and it is consistent to set alternator amplitude, voltage of oscillation center amplitude only with line
Road both end voltage phase angle difference is relevant；Further, it was found from total system angle analysis, phase difference of voltage between alternative route node is passed through
δ21、δ31、δ32, it is system oscillation center with the immediate phase angle difference of 180 degree, thus obtains oscillation center sentencing in each circuit
According to as follows：
Criterion of the oscillation center on 1-2 circuits：
Criterion of the oscillation center on 3-1 circuits：
Criterion of the oscillation center on 3-2 circuits：
In formula：δ21Poor, the δ for 1-2 circuit two-terminal generator generator rotor angles31Poor, the δ for 3-1 circuit two-terminal generator generator rotor angles32For 3-2 circuits
Two-terminal generator generator rotor angle is poor；
Sub-step 102：In the case of multi-frequency oscillation, if node voltage phase place difference in circuit both sides is 180 degree, out-of-step center is determined as
And it is positioned at the line voltage distribution minimum point.
4. a kind of multi frequency system step-out/oscillation center is positioned and displacement path method for tracing according to claim 2, its feature
It is, using the generator rotor angle of the first generator 1 as reference in the step 3, the generator rotor angle difference of the second generator 2 and the 3rd generator 3
With rotational speed omega21、ω31It is changed with respect to the first generator 1；In vibration initial time, specifically include：
(1) is due to δ31=δ21+δ32, δ31It is maximum and less than 180 °, therefore system oscillation is centrally located at 1-3 circuits, until ω31T=
δ31At=180 °, there is out-of-step center in 1-3 circuits, and voltage magnitude minimum point is zero；
(2) ω is worked as31=2 ω21When：From ω31T=δ31From=240 ° of moment, due to now 0 °<(360°-δ31)<δ21=δ32<
180 °, oscillation center is moved to 1-2 circuits and 2-3 circuits, while there are two oscillation centers, and synchronous holding；Work as ω21T=
δ21At=180 °, there are two out-of-step centers；Work as ω31T=δ31At=480 °, due to now 0 °<(360°-δ21360 ° of)=(-
δ32)<(δ31-360°)<180 °, oscillation center is migrated to 1-3 circuits again；
(3) ω is worked as31<2ω21When：From ω21T=360 ° of-ω31T rises, due to 0 °<δ32<δ21<180 ° and 0 °<(360°-δ31)
<δ21<180 °, oscillation center starts to move to 1-2 circuits；Work as ω21T=δ21At=180 °, out-of-step center appears in 1-2 circuits；
Work as ω31T=δ31At=360 °, due to now 0 °<(δ31-360°)<δ32<180 ° and 0 °<(360°-δ21)<δ32<180 °, vibration
Center starts to move to 2-3 circuits；
(4) ω is worked as31>2ω21When：From (ω31-ω21) t=360 ° of-ω31T rises, due to 0 °<δ21<δ32<180 ° and 0 °<
(360°-δ31)<δ32<180 °, oscillation center starts to migrate to 2-3 circuits；As (ω31-ω21) t=180 ° when, out-of-step center goes out
Present 2-3 circuits；Work as ω31T=δ31At=360 °, due to now 0 °<(δ31-360°)<δ21<180 ° and 0 °<(360°-δ32)<
δ21<180 °, oscillation center starts to move to 1-2 circuits；
To sum up, it can be deduced that system oscillation the center displacement path such as table 1：
Table 1
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| CN107526901A (en) * | 2017-09-15 | 2017-12-29 | 华北电力大学 | Power system out-of-step center positions and oscillation center tracing system and its method |
| CN107611996A (en) * | 2017-09-15 | 2018-01-19 | 华北电力大学 | The centralized positioning of multi-frequency oscillation asynchronous oscillation and migration tracing system and its method |
| CN107623326A (en) * | 2017-09-15 | 2018-01-23 | 华北电力大学 | A kind of distance protection out-of-step blocking under multi-frequency oscillation scene and again opening method |
| CN107706909A (en) * | 2017-09-15 | 2018-02-16 | 华北电力大学 | Oscillation center identifying system and its method based on frequecy characteristic under multi-frequency oscillation |
| CN108400594A (en) * | 2018-03-27 | 2018-08-14 | 云南电网有限责任公司 | A kind of method and system of determining Power System Oscillation Center Transport |
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| CN107526901B (en) * | 2017-09-15 | 2020-09-29 | 华北电力大学 | Power system step-out center positioning and oscillation center tracking system and method thereof |
| CN108400594A (en) * | 2018-03-27 | 2018-08-14 | 云南电网有限责任公司 | A kind of method and system of determining Power System Oscillation Center Transport |
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