CN108879671A - Voltage fluctuation analysis method and system under a kind of broad sense forced oscillation - Google Patents
Voltage fluctuation analysis method and system under a kind of broad sense forced oscillation Download PDFInfo
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- CN108879671A CN108879671A CN201810818962.6A CN201810818962A CN108879671A CN 108879671 A CN108879671 A CN 108879671A CN 201810818962 A CN201810818962 A CN 201810818962A CN 108879671 A CN108879671 A CN 108879671A
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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 voltage fluctuation analysis method and systems under a kind of broad sense forced oscillation.Concern is primarily with the power-angle oscillation problems of electric system for the existing research about broad sense forced oscillation, less to the opposite concern of the voltage oscillation problem of no less important.The technology contents that the present invention uses include：Obtain the time-domain curve of each node power fluctuation and voltage fluctuation in network；According to the power flow equation of network and each node power curve of cyclical fluctuations, node-by-node algorithm obtains the time-domain curve of voltage fluctuation proportional component；It is poor that the time-domain curve of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component is made, and obtains harmonic components time-domain curve；Voltage fluctuation harmonic components power spectrum and voltage oscillation pattern information are calculated by harmonic components time-domain curve.The present invention obtains the pattern information of voltage oscillation by calculating harmonic components power spectrum, to realize the analysis to voltage fluctuation under broad sense forced oscillation.
Description
Technical field
The present invention relates to electric system forced oscillation analysis field, voltage wave under specifically a kind of broad sense forced oscillation
Dynamic analysis method and system.
Background technique
As interconnected network scale constantly expands, low-frequency oscillation of electric power system greatlys restrict the transmittability of power grid,
As the outstanding problem for influencing interconnected network safety and stability.The wherein broad sense forced oscillation under power arbitrary excitation, relative to biography
Its occurrence condition of the forced oscillation of system is relatively easy, often bigger to the threat of electric system.It is existing to force vibration about broad sense
The research swung concern is primarily with the power-angle oscillation problem of electric system, it is opposite to the voltage oscillation problem of no less important pay close attention to compared with
It is few.
Opposite with broad sense forced oscillation is narrow sense forced oscillation, and narrow sense forced oscillation is the duration with single-frequency
System oscillation caused by periodic perturbation, the actually point-to-point excitation mode from the angle of frequency domain, as shown in Figure 1,
U and Y respectively represent excitation and response in figure.
But since structure is complicated for electric system itself, randomness is stronger, the frequency that arbitrary excitation occurs is much higher than tradition
Single-frequency sinusoidal excitation, and oscillatory occurences caused by some arbitrary excitations cannot be completely theoretical with general narrow sense forced oscillation
It explains, the broad sense forced oscillation for being based primarily upon electric system is theoretical.Broad sense forced oscillation be for narrow sense forced oscillation,
Broad sense forced oscillation refers to the forced oscillation that electric system occurs under arbitrary excitation.
For the electric system under general random excitation, since its excitation amplitude is typically small, thus can will at this time
Linear system is regarded as in electric system.To the linear system, power spectrum formula is calculated such as by the time-domain curve for motivating or responding
Under：
FT(f)=F [fT(t)] (1)
Its frequency domain transfer function is assumed to H (f), and input arbitrary excitation can be considered stationary random process, the random process
Power spectral density function is Su(f), output also can be considered stationary random process, and corresponding power spectral density function is Sy(f),
Then have to the input and output of the linear system：
Sy(f)=| H (f) |2Su(f) (3)
Therefore, if Su(f) power density major part in frequency spectrum can be covered, then system output power spectrum is in the part
Corresponding power density is also larger, then the dynamic of the associative mode of the part will be excited, f as shown in Figure 2o1.If input is made an uproar at random
The power spectrum of sound migrates, and is moved at higher frequency, then the mode being excited at this time is to damp higher fo2,fo3, such as
Shown in Fig. 3.
Broad sense forced oscillation is compared, it can be found that narrow sense forced oscillation is a special case of broad sense forced oscillation, narrow sense is strong
Compel the numerical value that the corresponding input of oscillation is a certain frequency in power spectrum, therefore is a kind of point-to-point excitation mode, and swashing
It encourages in the case that intensity remains unchanged, changes the power spectrum of the output obtained after driving frequency Multi simulation running and the power spectrum of input
It is with uniformity, so the power spectrum of voltage fluctuation has and ssystem transfer function power spectrum in shape when narrow sense forced oscillation
With similar characteristic.
By Fig. 2 and Fig. 3, it can be found that, broad sense forced oscillation is actually a kind of excitation mode in face of point, namely when electricity
When the frequency spectrum of certain random power fluctuations covers certain underdamping natural modes of system in Force system, these underdampings are intrinsic
Mode can be excited.Therefore, the condition of resonance occurs for comparison narrow sense forced oscillation --- and disturbing source is single-frequency and disturbance frequency
Rate is close to the intrinsic frequency of system, and the probability that broad sense forced oscillation occurs can be much larger, it is only necessary to which the power spectrum of disturbance covers
Underdamping natural mode, this can also explain the phenomenon that network random power fluctuation can frequently result in power grid oscillation.
It is theoretical according to broad sense forced oscillation, when the power spectrum of random power fluctuation in electric system covers certain underdampings
When mode, the forced oscillation of system, also referred to as broad sense forced oscillation can be inspired.To broad sense forced oscillation in previous literature
Research focuses on generator rotor angle and active oscillation, but the analysis to simulation result is it can be found that broad sense forced oscillation is also adjoint when occurring
There is voltage fluctuation, the voltage fluctuation under broad sense forced oscillation is analyzed below.
For power grid, arbitrary excitation intensity is typically small in electric system, is microvariations for relative system, thus can
To use linearized system model to system in the analysis process.Faster random power fluctuation in power grid, under certain condition
It is possible that the dynamic of activating system.In addition, being forced since the voltage fluctuation stochastic behaviour under arbitrary excitation is stronger relative to narrow sense
Vibrate the time-domain curve of lower voltage fluctuation, feature is not apparent, therefore preferably from frequency domain angle using power spectrum to voltage fluctuation into
Row analysis.
For the electric system under random power drive, input stimulus is Δ P, and corresponding voltage responsive is Δ U, then has
Response model as shown in Figure 4.
The transmission function is decomposed referring to the isolation of load model according to the response characteristic of voltage as follows：
G (s)=G (0)+Gd(s) (4)
In above formula, Gd(s)=G (s) (0)-G, so Gd(0)=0, voltage under random power drive can be rung based on derivation
It should decompose as follows：
U (t)=u0(t)+ud(t) (5)
Its corresponding frequency-domain expression is as follows：
ΔU0=G (0) Δ P (6)
ΔUd=Gd(s)ΔP (7)
The above transmission function can be expressed as to the form of frequency domain, had：
Hd(f)=Gd(s)|S=j2 π f, H0=G (0) (8)
Then the corresponding spectra calculation formula of the above voltage responsive component is respectively：
Su0(f)=H0 2Sp0(f) (9)
Sud(f)=| Hd(f)|2Spd(f) (10)
Wherein, Δ U0The corresponding system function of component is H0, reflect the steady state relation between input and output.Thus, this point
It is mainly related with network equation and power drive to measure corresponding voltage responsive, proportional component might as well be referred to as.ΔUdComponent is corresponding
Transmission function be Hd(f), theoretical according to broad sense forced oscillation, if the power spectrum of power swing covers Hd(f) underdamping vibration
Mode is swung, then can inspire the forced oscillation of voltage, mechanism is similar to resonance, might as well be referred to as harmonic components.Therefore can lead to
It crosses and the pattern information of voltage oscillation is obtained to the analysis of harmonic components power spectrum.
Summary of the invention
The object of the present invention is to provide voltage fluctuation analysis methods under a kind of broad sense forced oscillation, by calculating resonance point
Amount power spectrum obtains the pattern information of voltage oscillation, to realize the analysis to voltage fluctuation under broad sense forced oscillation.
For this purpose, the present invention adopts the following technical scheme that：Voltage fluctuation analysis method under a kind of broad sense forced oscillation, packet
It includes：
Step 1, the time-domain curve for obtaining each node power fluctuation and voltage fluctuation in network；
Step 2 fluctuates time-domain curve according to power system network parameter and each node power, and the point-by-point Load flow calculation that carries out obtains
To the time-domain curve of voltage fluctuation proportional component；
Step 3, by the time-domain curve of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component make it is poor, obtain resonance divide
Measure time-domain curve；
Step 4, according to spectra calculation formula, voltage fluctuation harmonic components function is calculated by harmonic components time-domain curve
Rate spectrum and voltage oscillation pattern information.
The present invention first decomposes voltage fluctuation under broad sense forced oscillation, is broken down into proportional component and resonance point
Amount, is then calculated the proportional component of voltage fluctuation by the power swing of network and power flow equation, by by section of interest
It is poor that the voltage fluctuation curve and proportional component of point are made, and the harmonic components of voltage fluctuation is obtained, finally by spectra calculation formula
Obtain the power spectrum of harmonic components and the pattern information of voltage oscillation.
The particular content of supplement as above-mentioned technical proposal, the step 1 includes：Pass through the PMU or RTU of electric system
Device obtains the electricity that voltage oscillation node occurs in network in the power swing time-domain curve and network of load and generator node
Pressure fluctuation time-domain curve.
The particular content of supplement as above-mentioned technical proposal, the step 2 includes：The trend meter in known electric system
After each network parameter needed for calculating, each moment load bus and generator node are obtained using each node power fluctuation time-domain curve
Power and voltage value, by power flow equation to each node voltage carry out node-by-node algorithm, obtain voltage fluctuation proportional component when
Domain curve.
The particular content of supplement as above-mentioned technical proposal, the step 4 includes：Resonance point is being obtained by step 3
After the time-domain curve of amount, by voltage fluctuation harmonic components by spectra calculation formula, the power spectrum of voltage oscillation is obtained, after
The holotype of voltage oscillation is determined by the spike of power spectrum.
The present invention also provides voltage fluctuation analysis systems under a kind of broad sense forced oscillation comprising：
Obtain module：Obtain the time-domain curve of each node power fluctuation and voltage fluctuation in network；
Load flow calculation module：Time-domain curve is fluctuated according to power system network parameter and each node power, it is point-by-point to carry out tide
Stream calculation obtains the time-domain curve of voltage fluctuation proportional component；
Time-domain curve makees difference module：The time-domain curve of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component is made
Difference obtains harmonic components time-domain curve；
Harmonic components time-domain curve computing module：According to spectra calculation formula, calculated by harmonic components time-domain curve
To voltage fluctuation harmonic components power spectrum and voltage oscillation pattern information.
The device have the advantages that as follows：The present invention by the way that voltage fluctuation under broad sense forced oscillation is decomposed,
Be decomposed into proportional component and harmonic components, after voltage fluctuation power spectrum and proportional component power spectrum obtained into harmonic components function as difference
Rate spectrum, obtains voltage oscillation Verbose Mode information harmonic components finally by the spectrum peak of harmonic components, thus realization pair
The analysis of voltage fluctuation under broad sense forced oscillation.
Detailed description of the invention
Attached drawing is not intended to drawn to scale.In the accompanying drawings, identical or nearly identical group each of is shown in each figure
It can be indicated by the same numeral at part.For clarity, in each figure, not each component part is labeled.
Fig. 1 is to illustrate to motivate the schematic diagram with response relation under narrow sense forced oscillation in background of invention；
Fig. 2-3 is the schematic diagram for illustrating to input the relationship between output in background of invention under broad sense forced oscillation；
Fig. 4 is to illustrate systematic mathematical mould when power drive causes system that broad sense forced oscillation occurs in background of invention
The schematic diagram of type；
Fig. 5 is the flow chart of voltage fluctuation analysis method under a kind of broad sense forced oscillation of the embodiment of the present invention；
Fig. 6 is 4 machine, 2 sound zone system wiring diagram in the embodiment of the present invention；
Narrow band power motivates time-domain curve figure when Fig. 7 is excitation resonance in the embodiment of the present invention；
Narrow band power motivates lower voltage responsive time-domain curve figure when Fig. 8 is excitation resonance in the embodiment of the present invention；
Voltage responsive proportional component time-domain curve figure when Fig. 9 is excitation resonance in the embodiment of the present invention；
Voltage responsive harmonic components time-domain curve figure when Figure 10 is excitation resonance in the embodiment of the present invention；
Power drive and each component power of voltage responsive compose comparison diagram when Figure 11 is excitation resonance in the embodiment of the present invention.
Specific embodiment
In order to better understand the technical content of the present invention, special to lift specific embodiment and institute's accompanying drawings is cooperated to be described as follows.
Various aspects with reference to the accompanying drawings to describe the present invention in the disclosure, shown in the drawings of the embodiment of many explanations.
It is not intended to cover all aspects of the invention for embodiment of the disclosure.It should be appreciated that a variety of designs and reality presented hereinbefore
Those of apply example, and describe in more detail below design and embodiment can in many ways in any one come it is real
It applies, this is to should be conception and embodiment disclosed in this invention to be not limited to any embodiment.In addition, disclosed by the invention one
A little aspects can be used alone, or otherwise any appropriately combined use with disclosed by the invention.
Embodiment 1
Voltage fluctuation analysis method under a kind of broad sense forced oscillation of some embodiments according to the present invention as shown in connection with fig. 5
Flow chart, some embodiments according to the present invention, a kind of voltage fluctuation analysis method under broad sense forced oscillation, including following step
Suddenly：Step 1, the time-domain curve for obtaining each node power fluctuation and voltage fluctuation in network；Step 2, according to the trend side of network
Journey and each node power fluctuate time-domain curve, and node-by-node algorithm obtains the time-domain curve of voltage fluctuation proportional component；Step 3, will be electric
It is poor that the time-domain curve of the time-domain curve and voltage fluctuation proportional component of pressing fluctuation is made, and obtains harmonic components time-domain curve；Step 4,
Voltage fluctuation harmonic components power spectrum and voltage oscillation pattern information are calculated by harmonic components time-domain curve.
Describe the exemplary implementation of the These steps of the present embodiment in more detail below.
In typical 4 machine, 2 area's example system, as shown in fig. 6, abovementioned steps 1 obtain in network each node power fluctuation and
The time-domain curve of voltage fluctuation, specifically includes：
By PMU the or RTU device of electric system obtain in network the power swing curve of load and generator node and
The voltage fluctuation curve of voltage oscillation node occurs in network, as shown in Figure 7 and Figure 8.
In some instances, abovementioned steps 2 are according to power system network parameter and each node power curve of cyclical fluctuations, point by point into
Row Load flow calculation obtains the time-domain curve of voltage fluctuation proportional component, specifically includes：
In known electric system after each network parameter needed for Load flow calculation, obtained using each node power curve of cyclical fluctuations
Each moment load bus and generator node power and voltage value count each node voltage by power flow equation point by point
It calculates, obtains the time-domain curve of voltage fluctuation proportional component, as shown in Figure 9.
In some instances, abovementioned steps 3 are bent by the time domain of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component
It is poor that line is made, and obtains harmonic components time-domain curve, specifically includes：
The voltage fluctuation curve of voltage oscillation node is obtained by step 1, voltage fluctuation proportional component is obtained by step 2
Time-domain curve after, by the two make it is poor, obtain harmonic components time-domain curve, as shown in Figure 10.
In some instances, electricity is calculated by harmonic components time-domain curve according to spectra calculation formula in abovementioned steps 4
Pressure fluctuation harmonic components power spectrum and voltage oscillation pattern information, specific implementation include：
After obtaining the time-domain curve of harmonic components by step 3, voltage fluctuation resonance harmonic components are passed through into power
Calculation formula is composed, the power spectrum of voltage oscillation is obtained, determines holotype Figure 11 institute of voltage oscillation by the spike of power spectrum afterwards
Show.
Embodiment 2
The present embodiment provides voltage fluctuation analysis systems under a kind of broad sense forced oscillation comprising：
Obtain module：Obtain the time-domain curve of each node power fluctuation and voltage fluctuation in network；
Load flow calculation module：Time-domain curve is fluctuated according to power system network parameter and each node power, it is point-by-point to carry out tide
Stream calculation obtains the time-domain curve of voltage fluctuation proportional component；
Time-domain curve makees difference module：The time-domain curve of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component is made
Difference obtains harmonic components time-domain curve；
Harmonic components time-domain curve computing module：According to spectra calculation formula, calculated by harmonic components time-domain curve
To voltage fluctuation harmonic components power spectrum and voltage oscillation pattern information.
Although the present invention has been disclosed as a preferred embodiment, however, it is not to limit the invention.Skill belonging to the present invention
Has usually intellectual in art field, without departing from the spirit and scope of the present invention, when can be used for a variety of modifications and variations.Cause
This, the scope of protection of the present invention is defined by those of the claims.
Claims (5)
1. voltage fluctuation analysis method under a kind of broad sense forced oscillation, which is characterized in that include the following steps：
Step 1, the time-domain curve for obtaining each node power fluctuation and voltage fluctuation in network；
Step 2 fluctuates time-domain curve according to power system network parameter and each node power, and the point-by-point Load flow calculation that carries out obtains electricity
The time-domain curve of pressure fluctuation proportional component；
Step 3, by the time-domain curve of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component make it is poor, when obtaining harmonic components
Domain curve；
Step 4, according to spectra calculation formula, voltage fluctuation harmonic components power spectrum is calculated by harmonic components time-domain curve
And voltage oscillation pattern information.
2. voltage fluctuation analysis method under a kind of broad sense forced oscillation according to claim 1, which is characterized in that the step
Rapid 1 particular content includes：
By PMU the or RTU device of electric system obtain in network the power swing time-domain curve of load and generator node and
The voltage fluctuation time-domain curve of voltage oscillation node occurs in network.
3. voltage fluctuation analysis method under a kind of broad sense forced oscillation according to claim 2, which is characterized in that the step
Rapid 2 particular content includes：
In known electric system after each network parameter needed for Load flow calculation, obtained using each node power fluctuation time-domain curve
Each moment load bus and generator node power and voltage value count each node voltage by power flow equation point by point
It calculates, obtains the time-domain curve of voltage fluctuation proportional component.
4. voltage fluctuation analysis method under a kind of broad sense forced oscillation according to claim 3, which is characterized in that the step
Rapid 4 particular content includes：
After obtaining the time-domain curve of harmonic components by step 3, voltage fluctuation harmonic components are passed through into spectra calculation public affairs
Formula obtains the power spectrum of voltage oscillation, determines the holotype of voltage oscillation by the spike of power spectrum afterwards.
5. voltage fluctuation analysis system under a kind of broad sense forced oscillation, which is characterized in that including：
Obtain module：Obtain the time-domain curve of each node power fluctuation and voltage fluctuation in network；
Load flow calculation module：Time-domain curve is fluctuated according to power system network parameter and each node power, it is point-by-point to carry out trend meter
Calculation obtains the time-domain curve of voltage fluctuation proportional component；
Time-domain curve makees difference module：It is poor that the time-domain curve of the time-domain curve of voltage fluctuation and voltage fluctuation proportional component is made, and obtains
To harmonic components time-domain curve；
Harmonic components time-domain curve computing module：According to spectra calculation formula, electricity is calculated by harmonic components time-domain curve
Pressure fluctuation harmonic components power spectrum and voltage oscillation pattern information.
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