CN104833878B - Power oscillation of power system determination methods based on synchronous phasor measuring device - Google Patents
Power oscillation of power system determination methods based on synchronous phasor measuring device Download PDFInfo
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- 238000010276 construction Methods 0.000 description 2
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Abstract
The invention discloses a kind of power oscillation of power system determination methods based on synchronous phasor measuring device, including by analog signalses after anti-aliasing analog filtering, sampled value is stamped into accurate absolute time mark in analog-to-digital conversion；Active power, order components degree of asymmetry and voltage and power factor product are calculated using synchronization three-phase voltage current；Fast Fourier Transform (FFT) is carried out to the result of active power, obtains the frequency spectrum of active power；If spectrum energy of the frequency spectrum of active power between 0.1 2Hz is more than corresponding preset value, and voltage and power factor product are in corresponding preset range, order components degree of asymmetry is again smaller than corresponding preset value simultaneously, then showing power system, there occurs oscillation of power, outputting alarm.The present invention realizes the accurate judgement to oscillation of power, avoids short trouble being mistaken for system oscillation, or occurs to fail to judge during oscillation of power, available for raising synchronous phasor measuring device oscillation of power alarm performance.
Description
Technical field
The present invention relates to a kind of power oscillation of power system determination methods based on synchronous phasor measuring device, belong to electric power
System detectio technical field.
Background technology
Power oscillation of power system have become influence modern large-scale power system safe and stable operation major issue it
One.In recent years, there occurs multiple oscillation of power phenomenon for China's power system.The main feature of these vibrations is as follows：1) oscillation frequency
Rate is low, between 0.2~2Hz, covers main low-frequency oscillation frequency range；2) amplitude is larger, and peak-to-peak value is tens to hundreds of
Between megawatt；3) duration is grown, and at tens seconds between dozens of minutes, most of duration of oscillation is in a few minutes.
Synchronous phasor measurement unit (phasor measurement unit, PMU) is used as WAMS (wide
Area measurement system, WAMS) data source, can timely find power network oscillation of power have it is important
Meaning.
Waveform during power oscillation of power system, usually exponential damping waveform, includes multi-frequency component.At present
The upper existing oscillation of power determination methods of PMU are primarily present problems with:
1) common oscillation of power determination methods are led to overpowering fluctuation size and realized, load fluctuation, short trouble and
Wrong report is easily caused during circuit unit switching；
2) algorithm is difficult to quantify to the degree of oscillation of power at present, in order to avoid wrong report is then likely to cause oscillation amplitude not
Failed to report when big, vice versa.
The content of the invention
It is an object of the invention to overcome deficiency of the prior art, there is provided a kind of electricity based on synchronous phasor measuring device
Force system oscillation of power determination methods, solve power oscillation of power system determination methods in the prior art and easily occur reporting by mistake, fail to report
Technical problem.
In order to solve the above technical problems, the technical solution adopted in the present invention is：Electricity based on synchronous phasor measuring device
Force system oscillation of power determination methods, comprise the following steps：
Step 1：By the analog signalses of synchronous phasor measuring device input after anti-aliasing analog filtering, mould is carried out
Number conversion, stamps accurate absolute time mark, and be stored in data buffer zone in analog-to-digital conversion by sampled value；
Step 2：The sampled value of data buffer zone according to caused by step 1, filled using synchronization synchronous phasor measurement
The three-phase voltage current put calculates active-power P, order components degree of asymmetry and voltage and power factor product U cos φ；
Step 3：The result of the active-power P calculated step 2 carries out Fast Fourier Transform (FFT), obtains active power
Frequency spectrum；
Step 4：Active-power P, order components degree of asymmetry, voltage and the power factor product calculated according to step 2
Ucos φ, the frequency spectrum of the active power obtained with reference to step 3 judge whether power system occurs oscillation of power：If wattful power
Spectrum energy of the frequency spectrum of rate between 0.1-2Hz is more than corresponding preset value, and voltage and power factor product Ucos φ are in
In corresponding preset range, while order components degree of asymmetry (| I0|+|I2|)/m|I1| again smaller than corresponding preset value, then show electric power
There occurs oscillation of power, outputting alarm for system；Otherwise, show that oscillation of power does not occur for power system.
Sampled value is stamped into accurate absolute time calibration method in step 1 is：
By GPS/ big dipper clocks pair when signal access synchronous phasor measuring device；
When analog-digital converter samples, sampled value is stamped to the clock signal of GPS/ big dipper clocks output, and is stored in data
Buffering area.
Active-power P is calculated using formula (1) in step 2：
P (t)=ua(t)ia(t)+ub(t)ib(t)+uc(t)ic(t)； (1)
In formula：P (t) represents the active power of t, ua(t)、ub(t)、uc(t) t A phase, B phase, C phase is represented respectively
Instantaneous voltage, ia(t)、ib(t)、ic(t) transient current of t A phase, B phase, C phase is represented respectively.
Fast Fourier Transform (FFT) is carried out using the change of Cooley-Tu Ji fast Fouriers to the result of active-power P in step 3
Scaling method.
The computational methods of voltage and power factor product Ucos φ described in step 2 are as follows：Voltage and electricity are calculated first
The amplitude phase of stream, the phase difference of voltage and electric current is then calculated, be i.e. φ, powerfactorcosφ is tried to achieve, finally by power factor
Cos φ are multiplied to obtain Ucos φ with voltage magnitude.
Order components degree of asymmetry described in step 2 are calculated using formula (2)：
(|I0|+|I2|)/m|I1| (2)
In formula, m takes 0.5-0.7 for that can adjust definite value；Calculation formula it is as follows：
Compared with prior art, the beneficial effect that is reached of the present invention is：Multiplied using power spectrum, voltage and power factor
Product, order components degree of asymmetry are judged oscillation of power, avoid causing when load fluctuation, short trouble and circuit unit switching
Wrong report, has also carried out a certain degree of quantization to oscillation of power, it is therefore prevented that oscillation of power is failed to report, and is surveyed available for synchronized phasor is improved
Measure rating of set oscillating alarm performance.
Brief description of the drawings
Fig. 1 is the flow chart of the inventive method.
Fig. 2 is the system construction drawing of simulation calculation.
Fig. 3 is that the voltage and current waveform that sampling obtains is synchronized to the system architecture shown in Fig. 2.
Fig. 4 is the active power oscillogram that simulation calculation acquisition is carried out to the system architecture shown in Fig. 2.
Fig. 5 is the active power spectrogram that simulation calculation acquisition is carried out to the system architecture shown in Fig. 2.
Fig. 6 is that the perunit value positive sequence voltage and power factor of the system architecture progress simulation calculation acquisition shown in Fig. 2 are multiplied
Product oscillogram.
Fig. 7 is the order components degree of asymmetry figure that simulation calculation acquisition is carried out to the system architecture shown in Fig. 2.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating the present invention
Technical scheme, and can not be limited the scope of the invention with this.
As shown in figure 1, being the flow chart of the inventive method, Fig. 2 is the system construction drawing of simulation calculation.Based on synchronized phasor
The power oscillation of power system determination methods of measurement apparatus, comprise the following steps：
Step 1：By the analog signalses of synchronous phasor measuring device input after anti-aliasing analog filtering, mould is carried out
Number conversion, by GPS/ big dipper clocks pair when signal access synchronous phasor measuring device, when analog-digital converter samples, will sample
Value stamps the clock signal of GPS/ big dipper clocks output, and is stored in data buffer zone.As shown in figure 3, it is to the system shown in Fig. 2
Structure synchronizes the voltage and current waveform that sampling obtains.
Step 2：The sampled value of data buffer zone according to caused by step 1, filled using synchronization synchronous phasor measurement
The three-phase voltage current put calculates active-power P, order components degree of asymmetry and voltage and power factor product Ucos φ.
As shown in figure 4, be the active power oscillogram that simulation calculation acquisition is carried out to the system architecture shown in Fig. 2, it is active
Power P is calculated using formula (1)：
P (t)=ua(t)ia(t)+ub(t)ib(t)+uc(t)ic(t)； (1)
In formula：P (t) represents the active power of t, ua(t)、ub(t)、uc(t) t A phase, B phase, C phase is represented respectively
Instantaneous voltage, ia(t)、ib(t)、ic(t) transient current of t A phase, B phase, C phase is represented respectively.
As shown in fig. 7, the order components degree of asymmetry figure of simulation calculation acquisition is carried out to the system architecture shown in Fig. 2, sequence point
Amount degree of asymmetry is calculated using formula (2)：
(|I0|+|I2|)/m|I1| (2)
In formula, m takes 0.5-0.7, preferably 0.66 for that can adjust definite value；Calculation formula it is as follows：
As shown in fig. 6, to shown in Fig. 2 system architecture carry out simulation calculation acquisition perunit value positive sequence voltage and power because
Number product waveform figure, voltage and power factor product Ucos φ computational methods are as follows：The amplitude of voltage and current is calculated first
Phase, then calculate the phase difference of voltage and electric current, be i.e. φ, try to achieve powerfactorcosφ, finally by powerfactorcosφ with
Voltage magnitude is multiplied to obtain Ucos φ.
Step 3：The result of the active-power P calculated step 2 carries out Cooley-Tu Ji Fast Fourier Transform (FFT)s, obtains
The frequency spectrum of active power, as shown in figure 5, carrying out the active power spectrogram of simulation calculation acquisition to the system architecture shown in Fig. 2.
Specific calculating process is as follows：
Fourier transformation is shown below：
In formula：xkBeing inputted for Fourier transformation, N is data window length,For twiddle factor, ynFor Fourier transformation
N-th of component of output, using n times unit root WNTo representWNProperty be：
1) periodically, WNWith cycle N, i.e.,
2) symmetry：
If 3) p is N approximate number,Serial length N=2 to be transformedr, r is positive integer.According to
The symmetry of unit root above, seeks seriesWhen, summation section can be divided into two parts：
FoddAnd F (k)even(k) it is two respectively about serialOdd number and the serial N/2 point transformation of even number.By
This formula can only calculate ykPreceding N/2 point, for rear N/2 point, pay attention to FoddAnd F (k)even(k) all it is letter of the cycle for N/2
Number, by the symmetry of unit root, then there is following transformation for mula：
So, a N point transformation has just resolved into two N/2 point transformation, can continue decomposition after this manner and go down, and obtains final
Transformation results.
Step 4：Active-power P, order components degree of asymmetry, voltage and the power factor product calculated according to step 2
Ucos φ, the frequency spectrum of the active power obtained with reference to step 3 judge whether power system occurs oscillation of power：If wattful power
Spectrum energy of the frequency spectrum of rate between 0.1-2Hz is more than corresponding preset value, and voltage and power factor product Ucos φ are in
In corresponding preset range, while order components degree of asymmetry (| I0|+|I2|)/m|I1| again smaller than corresponding preset value, then show electric power
There occurs oscillation of power, outputting alarm for system；Otherwise, show that oscillation of power does not occur for power system.
It the above is only the preferred embodiment of the present invention, it is noted that come for those skilled in the art
Say, without departing from the technical principles of the invention, some improvement and deformation can also be made, these are improved and deformation also should
It is considered as protection scope of the present invention.
Claims (6)
1. the power oscillation of power system determination methods based on synchronous phasor measuring device, it is characterised in that comprise the following steps：
Step 1：By the analog signalses of synchronous phasor measuring device input after anti-aliasing analog filtering, carry out modulus and turn
Change, sampled value is stamped into accurate absolute time mark in analog-to-digital conversion, and be stored in data buffer zone；
Step 2：The sampled value of data buffer zone according to caused by step 1, utilizes synchronization synchronous phasor measuring device
Three-phase voltage current calculates active-power P, order components degree of asymmetry and voltage and power factor product U cos φ；
Step 3：The result of the active-power P calculated step 2 carries out Fast Fourier Transform (FFT), obtains the frequency of active power
Spectrum；
Step 4：Active-power P, order components degree of asymmetry, voltage and the power factor product U cos calculated according to step 2
φ, the frequency spectrum of the active power obtained with reference to step 3 judge whether power system occurs oscillation of power：If active power
Spectrum energy of the frequency spectrum between 0.1-2Hz is more than corresponding preset value, and voltage and power factor product U cos φ are in correspondingly
In preset range, while order components degree of asymmetry (| I0|+|I2|)/m|I1| again smaller than corresponding preset value, then show power system
There occurs oscillation of power, outputting alarm；Otherwise, show that oscillation of power does not occur for power system.
2. the power oscillation of power system determination methods according to claim 1 based on synchronous phasor measuring device, it is special
Sign is that sampled value is stamped into accurate absolute time calibration method in step 1 is：
By GPS/ big dipper clocks pair when signal access synchronous phasor measuring device；
When analog-digital converter samples, sampled value is stamped to the clock signal of GPS/ big dipper clocks output, and is stored in data buffering
Area.
3. the power oscillation of power system determination methods according to claim 1 based on synchronous phasor measuring device, it is special
Sign is that active-power P is calculated using formula (1) in step 2：
P (t)=ua(t)ia(t)+ub(t)ib(t)+uc(t)ic(t)； (1)
In formula：P (t) represents the active power of t, ua(t)、ub(t)、uc(t) wink of t A phase, B phase, C phase is represented respectively
When voltage, ia(t)、ib(t)、ic(t) transient current of t A phase, B phase, C phase is represented respectively.
4. the power oscillation of power system determination methods according to claim 1 based on synchronous phasor measuring device, it is special
Sign is that the result progress Fast Fourier Transform (FFT) in step 3 to active-power P uses Cooley-Tu Ji Fast Fourier Transform (FFT)s
Algorithm.
5. the power oscillation of power system determination methods according to claim 1 based on synchronous phasor measuring device, it is special
Sign is that the computational methods of voltage and power factor product U cos φ described in step 2 are as follows：Voltage and electricity are calculated first
The amplitude phase of stream, the phase difference of voltage and electric current is then calculated, be i.e. φ, powerfactorcosφ is tried to achieve, finally by power factor
Cos φ are multiplied to obtain U cos φ with voltage magnitude.
6. the power oscillation of power system determination methods according to claim 1 based on synchronous phasor measuring device, it is special
Sign is that order components degree of asymmetry described in step 2 are calculated using formula (2)：
(|I0|+|I2|)/m|I1| (2)
In formula, m takes 0.5-0.7 for that can adjust definite value；Calculation formula it is as follows：
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