CN110378022A - A kind of multiband Dynamic Phasors electromagnetical transient emulation method and system - Google Patents
A kind of multiband Dynamic Phasors electromagnetical transient emulation method and system Download PDFInfo
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Abstract
The present invention discloses a kind of multiband Dynamic Phasors electromagnetical transient emulation method and system, is related to Power System Analysis field, specifically includes that the electric signal for obtaining each node in electrical system；The electric signal includes voltage signal and branch current signal；Frequency decomposition is carried out to the electric signal；Electric signal after frequency decomposition is subjected to segmentation reorganization, obtains N number of recombination signal；Shift frequency is distinguished to each recombination signal, obtains N number of low frequency signal；Big step-length emulation is carried out to N number of low frequency signal, obtains the voltage of each node and the frequency sub-band simulation result of branch current amount.Multiband Dynamic Phasors electromagnetical transient emulation method disclosed by the invention and system can realize bulk power grid quick electromagnetic transient emulation under the premise of guaranteeing simulation accuracy.
Description
Technical field
The present invention relates to Power System Analysis fields, more particularly to a kind of multiband Dynamic Phasors electromagnetic transient simulation side
Method and system.
Background technique
With direct current transportation, the power electronic equipments such as Survey of Flexible AC Transmission System Technology, extensive generation of electricity by new energy are widely applied
In electric system, electromagnetic transients program (the Electromagnetic Transient based on detailed modeling and small step-length
Simulation Program, EMTP) become important Power System Analysis tool.However, a large amount of power electronic equipments are frequent
Switch motion and complicated control strategy be unable to satisfy power train now so that existing electromagnetic transient simulation efficiency is extremely low
Unite research, production, in terms of demand to simulation efficiency.
Existing electromagnetical transient emulation method is chiefly used in studying the local transient process of electric system, and simulation scale is small, nothing
Method is suitable for the Transient simulation of alternating current-direct current mixing bulk power grid.In recent years, with the promotion of computer calculating speed, novel height
Performance calculates that equipment continues to bring out and numerical computation method, modeling technique constantly improve, can from simulation algorithm, hardware,
Software etc. improves electromagnetic transient simulation speed, expands calculation scale.It is existing it is widely used can increase simulation scale
While promoted simulation efficiency method, mainly have from simulation algorithm: Dynamic Phasors, frequency deviation method, multi tate method,
Electromechanics-electromagnetic transient hybrid simulation etc. says mainly have from the angle of hardware: large-scale parallel computing, for example utilizes biography
Defeated line decouples naturally or the parallel artificial technology of multizone Thevenin's equivalence and the new skill of emulation based on GPU and multi-core CPU
Art etc..
It is currently used to be applied in quick electromagnetic transient emulation method:
Dynamic Phasors (Dynamic Phasor, DP) carry out Fourier transformation to system element variable, using time-varying Fu
In leaf series correspond to its dominant component, with this approximate element dynamic.In addition, Dynamic Phasors are temporary using serial mode progress electromagnetism
When state emulates, to guarantee simulation velocity, harmonic wave Dynamic Phasors equation number should not be too many, even if being emulated using parallel mode, due to
The limitation of CPU core number, equation number are also unsuitable excessive.Most of applicable cases usually only establish the dynamic phasor model of fundamental frequency, most
Consider second harmonic more.This results in harmonic wave truncated error, when harmonic components are more in system and large percentage, emulation essence
Degree is unable to satisfy requirement.When there are frequency fluctuations for system, when power frequency is not 50Hz, since harmonic wave truncation conventional dynamic phasor approach is deposited
In spectrum leakage phenomenon.In addition to this, under the operating condition for needing to consider system resonance frequencies, due to resonance frequency numerical value generally compared with
Greatly, the emulation of conventional dynamic phasor approach can not be counted and the influence of upper resonance frequency due to harmonic wave truncated error.
Frequency shift (FS) (Shifted Frequency Analysis, SFA) and the adaptive (Frequency of frequency
Adaptive Simulation ofTransients, FAST) method, migration processing is carried out to signal frequency, signal frequency is from fast
Become changing slowly, to increase simulation step length, but be that dominant frequency is analyzed just for power frequency in practical application,
Do not refer to how handling when system contains higher harmonic component.
Electromechanics-electromagnetic transient hybrid simulation method, divides system by emulation demand, understands dynamic in detail to needs
The part of process carries out electromagnetic transient simulation, and other parts use electromechanical transient simulation, improves simulation velocity.Electro-magnetic transient uses
Three-phase instantaneous value, containing a large amount of frequency contents, and electromechanical transient is simulated using quasi-steady state and steady-state model, can not be to electro-magnetic transient
Partial dynamic process is responded, so that simulation accuracy and numerical stability are rather limited.
In conclusion existing electromagnetical transient emulation method can not realize bulk power grid under the premise of guaranteeing simulation accuracy
Quick electromagnetic transient emulation.
Summary of the invention
The object of the present invention is to provide a kind of multiband Dynamic Phasors electromagnetical transient emulation method and systems, can guarantee
Bulk power grid quick electromagnetic transient emulation is realized under the premise of simulation accuracy.
To achieve the above object, the present invention provides following schemes:
A kind of multiband Dynamic Phasors electromagnetical transient emulation method, comprising:
Obtain the electric signal of each node in electrical system；The electric signal includes voltage signal and branch current letter
Number；
Frequency decomposition is carried out to the electric signal；
Electric signal after frequency decomposition is subjected to segmentation reorganization, obtains N number of recombination signal；
Shift frequency is distinguished to each recombination signal, obtains N number of low frequency signal；
Big step-length emulation is carried out to N number of low frequency signal, obtains the voltage of each node and the son frequency of branch current amount
Section simulation result.
Optionally, described that frequency decomposition is carried out to the electric signal, it specifically includes:
Fourier space decomposition is carried out to the electric signal that each node is got, obtains multiple simple component signals；The electricity
Gas signal is the multicomponent data processing comprising multiple frequency contents.
Optionally, the electric signal by after frequency decomposition carries out segmentation reorganization, obtains N number of recombination signal, tool
Body includes:
Simple component signal is arranged by frequency size order, obtains a frequency distribution band；Wherein, the simple component signal
Carry out obtained signal after frequency decomposition for electric signal, the number of the simple component signal be it is multiple, and each described single point
The frequency for measuring signal is different；
According to actual emulation step-length and the frequency of the frequency distribution band, band number is calculated；
According to the band number, segment processing is carried out to the frequency distribution band, obtains N number of narrowband sub-band signals；
Simple component Signal averaging in each narrowband sub-band signals is synthesized into recombination signal；The recombination signal
Number is N.
Optionally, described that shift frequency is distinguished to each recombination signal, N number of low frequency signal is obtained, is specifically included:
Determine the center angular frequency of each recombination signal；
All frequency components of each recombination signal are carried out according to the center angular frequency of the corresponding recombination signal
Down conversion process obtains the corresponding low frequency signal of each recombination signal.
Optionally, described that big step-length emulation is carried out to N number of low frequency signal, obtain the voltage and branch electricity of each node
The frequency sub-band simulation result of flow, specifically includes:
Big step-length emulation is carried out to N number of low frequency signal, obtains the voltage of each node and the son frequency of branch current amount
Section emulation PRELIMINARY RESULTS；
Each frequency sub-band emulation PRELIMINARY RESULTS is subjected to reversed shift frequency processing, and by reversed shift frequency treated son
Frequency range emulation PRELIMINARY RESULTS is overlapped to obtain the frequency sub-band simulation result of the voltage of each node and branch current amount.
To achieve the above object, the present invention also provides following schemes:
A kind of multiband Dynamic Phasors electromagnetic transient simulation system, comprising:
Signal acquisition module, for obtaining the electric signal of each node in electrical system；The electric signal includes voltage
Signal and branch current signal；
Frequency decomposition module, for carrying out frequency decomposition to the electric signal；
It is segmented recombination module, for the electric signal after frequency decomposition to be carried out segmentation reorganization, obtains N number of recombination letter
Number；
Signal shift frequency module obtains N number of low frequency signal for distinguishing shift frequency to each recombination signal；
Signal emulation module, for carrying out big step-length emulation to N number of low frequency signal, obtain each node voltage and
The frequency sub-band simulation result of branch current amount.
Optionally, the frequency decomposition module, specifically includes:
Fourier decomposition unit, the electric signal for getting to each node carry out Fourier space decomposition, obtain more
A simple component signal；The electric signal is the multicomponent data processing comprising multiple frequency contents.
Optionally, the segmentation recombination module, specifically includes:
Frequency sequencing unit obtains a frequency distribution band for arranging simple component signal by frequency size order；Its
In, the simple component signal is that electric signal carries out the signal obtained after frequency decomposition, and the number of the simple component signal is more
It is a, and the frequency of each simple component signal is different；
Frequency computing unit calculates band number for the frequency according to actual emulation step-length and the frequency distribution band；
Frequency segmentation unit, for carrying out segment processing to the frequency distribution band, obtaining N number of according to the band number
Narrowband sub-band signals；
Frequency recomposition unit, for believing the simple component Signal averaging synthesis recombination in each narrowband sub-band signals
Number；The number of the recombination signal is N.
Optionally, the signal shift frequency module, specifically includes:
Center angular frequency determination unit, for determining the center angular frequency of each recombination signal；
Frequency component lower frequency unit, for all frequency components to each recombination signal according to the corresponding recombination
The center angular frequency of signal carries out down conversion process, obtains the corresponding low frequency signal of each recombination signal.
Optionally, the signal emulation module, specifically includes:
Preliminary simulation unit, for carrying out big step-length emulation to N number of low frequency signal, obtain each node voltage and
The frequency sub-band of branch current amount emulates PRELIMINARY RESULTS；
Reversed shift frequency unit, for each frequency sub-band emulation PRELIMINARY RESULTS to be carried out reversed shift frequency processing, and will
Treated that frequency sub-band emulation PRELIMINARY RESULTS is overlapped to obtain the son of the voltage of each node and branch current amount for reversed shift frequency
Frequency range simulation result.
The specific embodiment provided according to the present invention, the invention discloses following technical effects: multifrequency disclosed by the invention
Section Dynamic Phasors electromagnetical transient emulation method and system, by carrying out frequency decomposition to electric signal, by the electricity after frequency decomposition
Gas signal carries out segmentation reorganization, to make only one recombination signal in each frequency range, when emulation the corresponding differential equation
Order is single order, compared with traditional Electromagnetic Simulation method, can reduce differential equation order, reduces simulation scale, extensive
Alternating current-direct current power grid hybrid simulation in applicability it is stronger；By obtaining N number of low frequency signal to each recombination signal difference shift frequency,
To which big step-length emulation can be carried out to N number of low frequency signal, simulation accuracy not only can be improved, but also calculation amount can be greatly reduced.
Multiband Dynamic Phasors electromagnetical transient emulation method disclosed by the invention and system, with traditional Dynamic Phasors phase
Than, after grouping, under same calculation scale, multiband method is it is contemplated that more frequency components, so that simulation accuracy is improved,
Using the characteristic of CPU multi-core, the electric signal of different frequency range can be with parallel computation, to greatly reduce calculation amount.
Multiband-Dynamic Phasors that the present invention uses can guarantee the same of precision in the signal component for considering higher frequency time
When, equation order is reduced, reduces simulation scale, additionally can convert low frequency signal for high-frequency signal by shift frequency characteristic,
Increase simulation step length, simulation time is further decreased, to realize bulk power grid quick electromagnetic transient emulation.
Detailed description of the invention
It in order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, below will be to institute in embodiment
Attached drawing to be used is needed to be briefly described, it should be apparent that, the accompanying drawings in the following description is only some implementations of the invention
Example, for those of ordinary skill in the art, without any creative labor, can also be according to these attached drawings
Obtain other attached drawings.
Fig. 1 is the flow chart of multiband Dynamic Phasors electromagnetical transient emulation method embodiment of the present invention；
Fig. 2 is multiband Dynamic Phasors electromagnetical transient emulation method embodiment midband stepwise schematic views of the present invention；
Fig. 3 is five node AC system circuit diagrams；
Fig. 4 is that multiband Dynamic Phasors electromagnetical transient emulation method embodiment of the present invention is applied to five node AC system electricity
The calculation flow chart of magnetic transient emulation；
Fig. 5 is the flow chart that multiband Dynamic Phasors handle signal；
Fig. 6 is the specific implementation flow that multiband Dynamic Phasors emulation module is applied to the small-sized AC system of five nodes
Figure；
Fig. 7 is the structure chart of multiband Dynamic Phasors electromagnetic transient simulation system embodiment of the present invention.
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.
The object of the present invention is to provide a kind of multiband Dynamic Phasors electromagnetical transient emulation method and systems, can guarantee
Bulk power grid quick electromagnetic transient emulation is realized under the premise of simulation accuracy.
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing and specific real
Applying mode, the present invention will be further described in detail.
The it is proposed of multiband-Dynamic Phasors: conventional dynamic phasor approach and frequency deviation method there are aiming at the problem that, pass through
The essence and Fourier transformation, the mathematical meaning of decomposition for analyzing Dynamic Phasors, propose multiband-Dynamic Phasors (Multi-
Frequency Band Dynamic Phasor, MFB-DP), this method is recombinated after decomposing to signal frequency by frequency range, then
Shift frequency is carried out for recombination signal, and then realizes big step-length emulation.
Fig. 1 is the flow chart of multiband Dynamic Phasors electromagnetical transient emulation method embodiment of the present invention.Referring to Fig. 1, this is more
Frequency range Dynamic Phasors electromagnetical transient emulation method includes:
Step 101: obtaining the electric signal of each node in electrical system；The electric signal includes voltage signal and branch
Current signal.
For convenience of elaboration, each node electric signal (voltage, electric current) is used uniformly x (t) in this embodiment to indicate.
Step 102: frequency decomposition is carried out to the electric signal.
The step 102 specifically includes:
Fourier space decomposition is carried out to the electric signal that each node is got, obtains multiple simple component signals；The electricity
Gas signal is the multicomponent data processing comprising multiple frequency contents.
Since the electric signal x (t) got is the multicomponent data processing comprising many frequency contents, each node is obtained
The real-time electric signal x (t) got carries out frequency decomposition, after frequency decomposition original electric signal x (t) become it is several mutually
Former multicomponent data processing can be obtained in independence and the unique simple component signal of frequency content, summation.
The Fourier space form of electric signal x (t) are as follows:
In formula, X (t) indicates the Fourier space form of electric signal x (t), Xh(t) h subharmonic Dynamic Phasors are indicated,
The twiddle factor for being multiplied by respective frequencies is harmonic wave electric signal, and t indicates the time, and signal is the amount changed over time, and j indicates imaginary number
Symbol, ωsIndicating fundamental frequency signal angular frequency, h indicates overtone order, it is theoretically infinitely great, but generally have in engineer application
Limit value, at this point, formula (1) is writeable are as follows:
In formula, M indicates finite value of the overtone order h in engineer application, and the value of M is determined by specifically emulating demand,
ωh=h ωsIndicate h subharmonic angular frequency.
Step 103: the electric signal after frequency decomposition being subjected to segmentation reorganization, obtains N number of recombination signal.
The step 103 specifically includes:
Simple component signal is arranged by frequency size order, obtains a frequency distribution band；Wherein, the simple component signal
Carry out obtained signal after frequency decomposition for electric signal, the number of the simple component signal be it is multiple, and each described single point
The frequency for measuring signal is different.
According to actual emulation step-length and the frequency of the frequency distribution band, band number is calculated.
According to the band number, segment processing is carried out to the frequency distribution band, obtains N number of narrowband sub-band signals.
Simple component Signal averaging in each narrowband sub-band signals is synthesized into recombination signal；The recombination signal
Number is N.
Fig. 2 is multiband Dynamic Phasors electromagnetical transient emulation method embodiment midband stepwise schematic views of the present invention；Referring to
Fig. 2, the number for organizing frequency component in number and frequency sub-band are obtained according to engineering is practical.(fundamental frequency is by taking positive frequency part as an example
50Hz), it is assumed that after Fourier space is decomposed, positive frequency part are as follows: 0Hz, 50Hz, 100Hz, 150Hz, 200Hz ... 2000Hz,
At this time if selecting step-length for 500 μ s, corresponding sample frequency is 2kHz, fixed according to precision and sampling in electromagnetic transient simulation
Reason requires, the corresponding frequency of simulation step length is generally 10 times (generally acknowledged) of signal frequency, so 500 μ s of step-length can accurate simulation
The maximum frequency f of signalhFor 200Hz.It by the signal decomposition that bandwidth after frequency decomposition is 2000Hz is bandwidth according to above-mentioned principle
For 400Hz, (bandwidth 400Hz, after center angular frequency shift frequency, no matter before the minimax frequency of frequency range is how many, moves
The frequency range of bandwidth is all the maximum frequency f of this time-frequency band between -200Hz -+200Hz after frequencyh5 for 200Hz) are narrow
Band sub-band signals, i.e. 0-400Hz, 400-800Hz ... 1600-2000Hz.
Signal X (t) (previous step treated electric signal (voltage or electric current)) frequency size order is successively divided by Fig. 2
At N number of frequency sub-band, signal X (t) can be grouped and be reconfigured by frequency sub-band.It is that each frequency sub-band reconfigures the result is that each frequency range
The different multiple signals of the interior frequency obtained by Fourier decomposition, superposition synthesizes the letter that a frequency content reduces again
Number.At this point, signal X (t) can regard the sum of each frequency band signals as, it may be assumed that
In formula, N is positive frequency by the group number after frequency size packets, and corresponding negative frequency also has N group, HnFor preceding n son frequency
The total number of unifrequency component, H in sectionn-Hn-1For frequency component (each harmonic) number in n-th of frequency sub-band, Bn(t) be for
Facilitate statement to set, indicate frequency range recombination signal,Signal after being recombinated for n-th of frequency sub-band.
The realization of depression of order: the item number of formula (3) is greatly reduced, such as: before recombination, there is H in n-th of frequency rangen-Hn-1A frequency
Component, when emulation, corresponding differential equation order was Hn-Hn-1Rank.And after recombinating, only 1 signal is (each in n-th of frequency range
Frequency range is indicated with a narrow recombination signal of the bandwidth containing several adjacent frequency signals), when emulation corresponding differential side
Journey order is all in all 1 rank is reduced to band number 2N by harmonic wave number 2M.Compared with traditional Electromagnetic Simulation method, the method
It can reduce differential equation order, reduce simulation scale.That is, the method is imitative in the mixing of large-scale alternating current-direct current power grid
Very middle applicability is stronger.The above process may also indicate that as follows, the referred to as frequency decomposition and recombination of signal:
Step 104: shift frequency being distinguished to each recombination signal, obtains N number of low frequency signal.
The step 104 specifically includes:
Determine the center angular frequency of each recombination signal.
All frequency components of each recombination signal are carried out according to the center angular frequency of the corresponding recombination signal
Down conversion process obtains the corresponding low frequency signal of each recombination signal.
To each frequency range recombination signal Bn(t), the center angular frequency ω of each frequency range may be selectedrnShift frequency respectively, i.e., in frequency range
Each subsignal reduce frequency range center angular frequency size frequency.Such as: frequency range 800Hz-1.2kHz, center angular frequency
For 1kHz, there are 800,900,1000,1100,1200Hz five frequency components in frequency range, the center angular frequency of frequency range is 1000Hz,
Signal frequency after shift frequency is respectively as follows: -200, and -100,0,100,200Hz, it may be assumed that
Define B'nIt (t) is Bn(t) signal after shift frequency:
In formula,For h subharmonic Xh(t) signal after shift frequency.Since frequency range is drawn by narrowband principle
Point, bandwidth is less than center angular frequency ωrn, therefore, each frequency component in each frequency sub-band becomes low frequency signal after shift frequency
X'h(t), thus, recombination signal B'n(t) also become a low frequency signal, big step-length emulation can be carried out to it.
The differential equation of frequency range after shift frequency:
With B1(t) illustrate for frequency range, conventional dynamic phasor approach: set(it was previously noted Bn
(t) recombination signal for indicating n-th of frequency range includes Hn-Hn-1A component, and so on obtain the formula) shared H1A harmonic wave, it is right
The Dynamic Phasors X answeredh(t) there is H1A, the Dynamic Phasors differential equation also has H1It is a.The harmonic wave Dynamic Phasors differential equation is following shape
Formula:
In formula,(to differential dx (t)/dt of original time domain signal x (t) according to Dynamic Phasors formula
Seek each rank Dynamic Phasors, Dh(t) the h rank Dynamic Phasors of micro component are indicated).
Formula (6) can be solved by big step-length, and (based on sampling thheorem, simulation step length is directly related with signal frequency, formula (6)
For the differential equation of conventional dynamic phasor approach, Dynamic Phasors can be understood as the complex-envelope of quick variable signal, relatively former letter
Slowly, frequency is lower, is able to carry out the emulation of big step-length for number variation).Theoretically, it needs to solve H1A differential equation.But work as H1
When larger, due to increasing for equation number, step-length can be offset and increased and bring speed-increasing effect.Therefore, traditional Dynamic Phasors
Actual in use, need to generally carry out harmonic wave truncation, that is, the harmonic component of a small number of frequencys is only considered, to bring larger
Phantom error.
Multiband Dynamic Phasors: B is set1(t) center angular frequency of frequency range is ωr, define Δ ωh=ωh-ωr, by step
104 carry out shift frequency, derive each harmonic Dynamic Phasors differential equation shift frequency to center angular frequency ω firstrThe differential equation afterwards
Form:
Signal X' after constructing shift frequency on the basis of formula (6)h(t), wherein
By the H in formula (7)1A differential equation addition can obtain:
As it can be seen that Dynamic Phasors differential equation number at this time is by H1It is a to be reduced to 1.Obviously, with traditional Dynamic Phasors
Method is compared, and carries out big step-length emulation by formula (8), both can be improved simulation accuracy (after grouping, under same calculation scale, multiband
Method can be improved precision it is contemplated that more frequency components) calculation amount can be greatly reduced again.
Each frequency range is processed similarly, the plural differential equation group that equation group number depression of order is band number 2N is finally obtained
(meter and negative frequency section).Using the characteristic of CPU multi-core, the electric signal of different frequency range can be with parallel computation.
Step 105: big step-length emulation being carried out to N number of low frequency signal, obtains the voltage and branch current of each node
The frequency sub-band simulation result of amount.
The step 105 specifically includes:
Big step-length emulation is carried out to N number of low frequency signal, obtains the voltage of each node and the son frequency of branch current amount
Section emulation PRELIMINARY RESULTS.
Each frequency sub-band emulation PRELIMINARY RESULTS is subjected to reversed shift frequency processing, and by reversed shift frequency treated son
Frequency range emulation PRELIMINARY RESULTS is overlapped to obtain the frequency sub-band simulation result of the voltage of each node and branch current amount.
The frequent switch motion of a large amount of power electronic equipments and complicated control strategy in electric system, so that existing electricity
Magnetic transient emulation method efficiency is extremely low, and big step-length emulation can reduce simulation time, improves simulation efficiency, is necessary step；
Big step-length emulation is carried out to N number of low frequency and narrow bandwidth signal, and obtained result is the simulation result of frequency band signals.It is multiplied by corresponding band
Shift frequency frequency revert back original frequency, then by the simulation result obtained after the superposition of each frequency range result theoretically with original small step-length
Simulation result is consistent.
After the completion of emulation, the signal contravariant in each frequency range is gained into superposition under time domain and obtains final signal:
Formula (9) is that the signals revivification after frequency reducing is returned to primary frequency, only considers positive frequency part, and what is obtained is exactly plural number parsing
Signal, wherein real part corresponds to former real-time sinusoidal signal.Contravariant, which gains, can simply be interpreted as Fourier transformation under time domain
Inverse transformation, difference, which is in the present invention to rotate the subsignal of several different frequencies in a frequency range according to same frequency, drops
Frequently, different frequency range speed is different.Inverse transformation will all subsignals revert back respective original frequency.Final signal with
Electric signal x (t) when initial is different, and difference is: simulation result is node voltage amount and branch electricity unknown in system
The frequency sub-band simulation result of flow.X (t) is a general designation above for sake of convenience, by taking five node systems of Fig. 3 as an example, u1、
u5For known quantity, i12, i23, i34, i45, u2, u3, u4It is unknown quantity, is obtained by seven rank differential equations.It is i.e. not all
X (t) be all known quantity.By the processing of above-mentioned signal the method according to the invention, it is capable of increasing step-length, simulation time is reduced, presses
Frequency range operation equation order compared with by harmonic order difference operation (conventional dynamic phasor approach) is few, operation scale is reduced, into one
Step promotes simulation efficiency.Emulate obtain the result is that the voltage of all nodes and the frequency sub-band simulation result of branch current amount.
To be superimposed again after result inverse transformation can obtain and the small consistent result of step-length electromagnetical transient emulation method of tradition.
By above-mentioned characteristic, multiband-Dynamic Phasors are it can be considered that guarantee essence in the signal component for considering higher frequency time
Spend the same of (after grouping, under same calculation scale, multiband method can be improved precision it is contemplated that more frequency components)
When, it reduces equation order and reduces simulation scale, additionally can convert low frequency signal for high-frequency signal by shift frequency characteristic, increase
Big simulation step length, further decreases simulation time, this be also the present invention in terms of bulk power grid quick electromagnetic transient emulation with tradition
Algorithm compares advantageous place.
Fig. 3 is five node AC system circuit diagrams；Referring to Fig. 3, the differential equation of five node AC systems under MFB-DP
It is described as follows:
By taking five node system shown in Fig. 3 as an example (wherein u, i of each node are MFB-DP module electrical quantity to be processed),
According to the original time domain differential equation for the network that Fig. 3 column are write:
Electric signal x (t) to be processed in i and u corresponding (1) in equation, the equation are the side under rest frame
Journey, using the derivative characteristic of MFB-DP, each frequency range is according to its center angular frequencyrSystem state equation after shift frequency respectively are as follows:
Wherein, subscript dq indicates complex signal.Udq、IdqRepresent the shifting of the frequency-division section of u, i after MFB-DP algorithm process
Frequency complex signal, being divided into several frequency ranges there is several above-mentioned equation groups.And several equation groups are mutually indepedent, can Parallel implementation add
Fast simulation velocity.
According to the different ω of each frequency ranger, obtain the corresponding differential equation group of each frequency range and solved, finally obtain each frequency
Electric signal under section, then according to the speed ω of each frequency ranger, by the signal in each frequency range according to formula (9) inverse transformation
Time domain is returned to be superimposed to obtain complete signal again.
Fig. 4 is that multiband Dynamic Phasors electromagnetical transient emulation method embodiment of the present invention is applied to five node AC system electricity
The calculation flow chart of magnetic transient emulation；Referring to fig. 4, multiband Dynamic Phasors electromagnetical transient emulation method embodiment of the present invention is answered
For five node AC system electromagnetic transient simulations, comprising the following steps:
Obtain input voltage, current signal.
By formula (1) to input signal adding window Fourier decomposition.
By simulation step length and CPU core core number, band number is set.
By formula (3), to signal, by frequency range recombination, simultaneously shift frequency obtains frequency sub-band Dynamic Phasors.
The multiband dynamic phasor model of five node AC systems is calculated by formula (11), is used for electromagnetic transient simulation.
The voltage of previous step electromagnetic transient simulation, results of weak current are subjected to inverse transformation by formula (9) and obtain the reality of voltage, electric current
Numerical value.
The above method is a specific application example of multiband Dynamic Phasors emulation module (for five nodes exchange system
The emulation of system, convenient to illustrate, the present invention selects small-sized AC system to be illustrated).The computing module also can be applied to greatly
The emulation of the ac and dc systems of scale, wherein such as LCC, MCC direct current transportation equipment, generator, transformer, transmission line etc. are handed over
Flow device can be modeled using MFB-DP respectively, obtain corresponding computing module, the information exchange between module is by exit
Voltage and current come realize (voltage and current be also under MFB-DP through decomposition recombination after electrical quantity).Fig. 5 is dynamic for multiband
State phasor approach handles the flow chart of signal, and Fig. 6 is that multiband Dynamic Phasors emulation module is applied to the small-sized exchange system of five nodes
The specific implementation flow chart of system, the present invention are established a kind of temporary based on multiband-Dynamic Phasors electromagnetism by matlab programming
State emulation module is analyzed for electromagnetic transient simulation, while guaranteeing precision, accelerates the calculating speed of emulation.This method
It is not limited to small-sized AC system, large-scale alternating current-direct current power grid is equally applicable.
Fig. 7 is the structure chart of multiband Dynamic Phasors electromagnetic transient simulation system embodiment of the present invention；Referring to Fig. 7, this is more
Frequency range Dynamic Phasors electromagnetic transient simulation system includes:
Signal acquisition module 701, for obtaining the electric signal of each node in electrical system；The electric signal includes electricity
Press signal and branch current signal.
Frequency decomposition module 702, for carrying out frequency decomposition to the electric signal.
The frequency decomposition module 702 specifically includes:
Fourier decomposition unit, the electric signal for getting to each node carry out Fourier space decomposition, obtain more
A simple component signal；The electric signal is the multicomponent data processing comprising multiple frequency contents.
Segmentation recombination module 703 obtains N number of heavy for the electric signal after frequency decomposition to be carried out segmentation reorganization
Group signal.
The segmentation recombination module 703 specifically includes:
Frequency sequencing unit obtains a frequency distribution band for arranging simple component signal by frequency size order；Its
In, the simple component signal is that electric signal carries out the signal obtained after frequency decomposition, and the number of the simple component signal is more
It is a, and the frequency of each simple component signal is different.
Frequency computing unit calculates band number for the frequency according to actual emulation step-length and the frequency distribution band.
Frequency segmentation unit, for carrying out segment processing to the frequency distribution band, obtaining N number of according to the band number
Narrowband sub-band signals.
Frequency recomposition unit, for believing the simple component Signal averaging synthesis recombination in each narrowband sub-band signals
Number；The number of the recombination signal is N.
Signal shift frequency module 704 obtains N number of low frequency signal for distinguishing shift frequency to each recombination signal.
The signal shift frequency module 704 specifically includes:
Center angular frequency determination unit, for determining the center angular frequency of each recombination signal.
Frequency component lower frequency unit, for all frequency components to each recombination signal according to the corresponding recombination
The center angular frequency of signal carries out down conversion process, obtains the corresponding low frequency signal of each recombination signal.
Signal emulation module 705 obtains the voltage of each node for carrying out big step-length emulation to N number of low frequency signal
The frequency sub-band simulation result of amount and branch current amount.
The signal emulation module 705 specifically includes:
Preliminary simulation unit, for carrying out big step-length emulation to N number of low frequency signal, obtain each node voltage and
The frequency sub-band of branch current amount emulates PRELIMINARY RESULTS.
Reversed shift frequency unit, for each frequency sub-band emulation PRELIMINARY RESULTS to be carried out reversed shift frequency processing, and will
Treated that frequency sub-band emulation PRELIMINARY RESULTS is overlapped to obtain the son of the voltage of each node and branch current amount for reversed shift frequency
Frequency range simulation result.
The present invention mentions on the basis of analysis and summary existing electromagnetical transient emulation method from the angle of emulation mode
Multiband-Dynamic Phasors out realize bulk power grid quick electromagnetic transient emulation under the premise of guaranteeing simulation accuracy.The present invention
It is intended to establish a kind of module that can apply to electro-magnetic transient high-speed simulation based on multiband-Dynamic Phasors, realization is using
While big step-length improves simulation velocity, the very high signal frequency upper limit is considered, there is very high simulation accuracy.
Multiband-Dynamic Phasors (MFB-DP) used in simulation algorithm module and traditional emulation are established in the present invention
Algorithm is compared, and has apparent advantage in the following aspects:
1. establishing based on multiband-Dynamic Phasors electromagnetic transient simulation module, this method is by carrying out frequency to signal
Domain decomposition, recombination and frequency reducing can reduce simulation scale under the precision conditions for guaranteeing emulation, realize that big step-length emulates, into one
Step improves simulation velocity.
2. parallel computation can be used to different frequency range, further exist based on multiband-Dynamic Phasors method emulation module
Guarantee the calculating speed that emulation can be greatlyd improve while precision.
3. bandwidth can be with flexible setting.For example, electric signal meets analytic signal property, by 18 core CPU (Intel i9-
9980XE), when each frequency range simulation step length is set as 500 μ s (bandwidth 400Hz), can accurate simulation the signal frequency upper limit it is reachable
7.2kHz, when each frequency range simulation step length is set as 1ms (bandwidth 200Hz), upper frequency limit 3.6kHz, precision meets enough to be wanted
It asks.
It, can be according to concrete application scene flexible setting 4. the bandwidth of each frequency range does not also require to be uniformly distributed.Specifically counting
When calculation, when the signal proportion very little of some frequency ranges is negligible in signal, these frequency ranges, which are not involved in calculating, to be ignored.This
When, the upper frequency limit of signal can further improve.Such as: for the scene of D.C. high voltage transmission, less high frequency can be set
Section, more low-frequency range, and flexible direct current scene can set more high band, less low-frequency range.
Specifically:
1) compared with the small step-length electromagnetic transient simulation EMT of tradition: MFB-DP establishes system-level Dynamic Phasors differential by frequency range
Equation group.Simulation step length is generally 10 times of signal frequency in EMTP, if simulation step length is 500 μ s, can set every height frequency
Duan Kuandu is 400Hz.It in engineering, can decouple, therefore can be asked parallel using CPU multi-core technology in the reasonable scope between each frequency range
Solution.Although increasing calculation amount in this way, parallel due to emulating, overall time is still fewer than traditional EMT.
2) compared with Dynamic Phasors (DP) and frequency deviation method (SFA): when fluctuation occurs in system frequency, (such as low frequency shakes
Swing) when, conventional dynamic phasor approach spectrum leakage can occur because of harmonic wave truncated problem.MFB-DP due to meter and be a frequency
Rate range (such as: 0~2kHz) therefore can greatly reduce error caused by spectrum leakage；Meanwhile MFB-DP is with lesser
Harmonic wave truncated error, it can be considered that higher frequency content, can simulation analysis system resonance frequency it is higher when the case where；With biography
System Dynamic Phasors are compared, and MFB-DP is divided and recombinated to signal by frequency range, are considering bigger frequency bandwidth and more multifrequency
While rate ingredient, and it is greatly reduced system-level differential equation group number, the requirement of simulation accuracy and speed can be taken into account.And with frequency
Rate deflection method is compared, and MFB-DP presses frequency range shift frequency, can carry out big step-length emulation in each frequency range, breaching SFA signal needs power frequency
Neighbouring limitation and hypothesis.
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with other
The difference of embodiment, the same or similar parts in each embodiment may refer to each other.For system disclosed in embodiment
For, since it is corresponded to the methods disclosed in the examples, so being described relatively simple, related place is defended oneself referring to Account Dept
It is bright.
Used herein a specific example illustrates the principle and implementation of the invention, and above embodiments are said
It is bright to be merely used to help understand method and its core concept of the invention；At the same time, for those skilled in the art, foundation
Thought of the invention, there will be changes in the specific implementation manner and application range.In conclusion the content of the present specification is not
It is interpreted as limitation of the present invention.
Claims (10)
1. a kind of multiband Dynamic Phasors electromagnetical transient emulation method characterized by comprising
Obtain the electric signal of each node in electrical system；The electric signal includes voltage signal and branch current signal；
Frequency decomposition is carried out to the electric signal；
Electric signal after frequency decomposition is subjected to segmentation reorganization, obtains N number of recombination signal；
Shift frequency is distinguished to each recombination signal, obtains N number of low frequency signal；
Big step-length emulation is carried out to N number of low frequency signal, the frequency sub-band of the voltage and branch current amount that obtain each node is imitative
True result.
2. multiband Dynamic Phasors electromagnetical transient emulation method according to claim 1, which is characterized in that described to described
Electric signal carries out frequency decomposition, specifically includes:
Fourier space decomposition is carried out to the electric signal that each node is got, obtains multiple simple component signals；The electrical letter
Number be the multicomponent data processing comprising multiple frequency contents.
3. multiband Dynamic Phasors electromagnetical transient emulation method according to claim 1, which is characterized in that described by frequency
Electric signal after decomposition carries out segmentation reorganization, obtains N number of recombination signal, specifically includes:
Simple component signal is arranged by frequency size order, obtains a frequency distribution band；Wherein, the simple component signal is electricity
Gas signal carries out the signal obtained after frequency decomposition, and the number of the simple component signal is multiple, and each simple component is believed
Number frequency it is different；
According to actual emulation step-length and the frequency of the frequency distribution band, band number is calculated；
According to the band number, segment processing is carried out to the frequency distribution band, obtains N number of narrowband sub-band signals；
Simple component Signal averaging in each narrowband sub-band signals is synthesized into recombination signal；The number of the recombination signal
For N.
4. multiband Dynamic Phasors electromagnetical transient emulation method according to claim 1, which is characterized in that described to each institute
Recombination signal difference shift frequency is stated, N number of low frequency signal is obtained, specifically includes:
Determine the center angular frequency of each recombination signal；
Frequency reducing is carried out according to the center angular frequency of the corresponding recombination signal to all frequency components of each recombination signal
Processing, obtains the corresponding low frequency signal of each recombination signal.
5. multiband Dynamic Phasors electromagnetical transient emulation method according to claim 1, which is characterized in that described to N number of
The low frequency signal carries out big step-length emulation, obtains the voltage of each node and the frequency sub-band simulation result of branch current amount, has
Body includes:
Big step-length emulation is carried out to N number of low frequency signal, the frequency sub-band of the voltage and branch current amount that obtain each node is imitative
True PRELIMINARY RESULTS；
Each frequency sub-band emulation PRELIMINARY RESULTS is subjected to reversed shift frequency processing, and by reversed shift frequency treated frequency sub-band
Emulation PRELIMINARY RESULTS is overlapped to obtain the frequency sub-band simulation result of the voltage of each node and branch current amount.
6. a kind of multiband Dynamic Phasors electromagnetic transient simulation system characterized by comprising
Signal acquisition module, for obtaining the electric signal of each node in electrical system；The electric signal includes voltage signal
With branch current signal；
Frequency decomposition module, for carrying out frequency decomposition to the electric signal；
It is segmented recombination module and obtains N number of recombination signal for the electric signal after frequency decomposition to be carried out segmentation reorganization；
Signal shift frequency module obtains N number of low frequency signal for distinguishing shift frequency to each recombination signal；
Signal emulation module obtains the voltage and branch of each node for carrying out big step-length emulation to N number of low frequency signal
The frequency sub-band simulation result of the magnitude of current.
7. multiband Dynamic Phasors electromagnetic transient simulation system according to claim 6, which is characterized in that the frequency point
Module is solved, is specifically included:
Fourier decomposition unit, the electric signal for getting to each node carry out Fourier space decomposition, obtain multiple lists
Component signal；The electric signal is the multicomponent data processing comprising multiple frequency contents.
8. multiband Dynamic Phasors electromagnetic transient simulation system according to claim 6, which is characterized in that the segmentation weight
Group module, specifically includes:
Frequency sequencing unit obtains a frequency distribution band for arranging simple component signal by frequency size order；Wherein,
The simple component signal is that electric signal carries out obtained signal after frequency decomposition, the number of the simple component signal be it is multiple,
And the frequency of each simple component signal is different；
Frequency computing unit calculates band number for the frequency according to actual emulation step-length and the frequency distribution band；
Frequency segmentation unit, for carrying out segment processing to the frequency distribution band, obtaining N number of narrowband according to the band number
Sub-band signals；
Frequency recomposition unit, for the simple component Signal averaging in each narrowband sub-band signals to be synthesized recombination signal；
The number of the recombination signal is N.
9. multiband Dynamic Phasors electromagnetic transient simulation system according to claim 6, which is characterized in that the signal moves
Frequency module specifically includes:
Center angular frequency determination unit, for determining the center angular frequency of each recombination signal；
Frequency component lower frequency unit, for all frequency components to each recombination signal according to the corresponding recombination signal
Center angular frequency carry out down conversion process, obtain the corresponding low frequency signal of each recombination signal.
10. multiband Dynamic Phasors electromagnetic transient simulation system according to claim 6, which is characterized in that the signal
Emulation module specifically includes:
Preliminary simulation unit obtains the voltage and branch of each node for carrying out big step-length emulation to N number of low frequency signal
The frequency sub-band of the magnitude of current emulates PRELIMINARY RESULTS；
Reversed shift frequency unit, for each frequency sub-band emulation PRELIMINARY RESULTS to be carried out reversed shift frequency processing, and will be reversed
Shift frequency treated frequency sub-band emulation PRELIMINARY RESULTS is overlapped to obtain the frequency sub-band of the voltage of each node and branch current amount
Simulation result.
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